diff --git a/.cirrus.yml b/.cirrus.yml deleted file mode 100644 index 0b904a4e38..0000000000 --- a/.cirrus.yml +++ /dev/null @@ -1,409 +0,0 @@ -env: - ### cirrus config - CIRRUS_CLONE_DEPTH: 1 - ### compiler options - HOST: - WRAPPER_CMD: - # Specific warnings can be disabled with -Wno-error=foo. - # -pedantic-errors is not equivalent to -Werror=pedantic and thus not implied by -Werror according to the GCC manual. - WERROR_CFLAGS: -Werror -pedantic-errors - MAKEFLAGS: -j4 - BUILD: check - ### secp256k1 config - ECMULTWINDOW: auto - ECMULTGENPRECISION: auto - ASM: no - WIDEMUL: auto - WITH_VALGRIND: yes - EXTRAFLAGS: - ### secp256k1 modules - EXPERIMENTAL: no - ECDH: no - RECOVERY: no - SCHNORRSIG: no - ### test options - SECP256K1_TEST_ITERS: - BENCH: yes - SECP256K1_BENCH_ITERS: 2 - CTIMETESTS: yes - # Compile and run the tests - EXAMPLES: yes - -# https://cirrus-ci.org/pricing/#compute-credits -credits_snippet: &CREDITS - # Don't use any credits for now. - use_compute_credits: false - -cat_logs_snippet: &CAT_LOGS - always: - cat_tests_log_script: - - cat tests.log || true - cat_noverify_tests_log_script: - - cat noverify_tests.log || true - cat_exhaustive_tests_log_script: - - cat exhaustive_tests.log || true - cat_ctime_tests_log_script: - - cat ctime_tests.log || true - cat_bench_log_script: - - cat bench.log || true - cat_config_log_script: - - cat config.log || true - cat_test_env_script: - - cat test_env.log || true - cat_ci_env_script: - - env - -merge_base_script_snippet: &MERGE_BASE - merge_base_script: - - if [ "$CIRRUS_PR" = "" ]; then exit 0; fi - - git fetch --depth=1 $CIRRUS_REPO_CLONE_URL "pull/${CIRRUS_PR}/merge" - - git checkout FETCH_HEAD # Use merged changes to detect silent merge conflicts - -linux_container_snippet: &LINUX_CONTAINER - container: - dockerfile: ci/linux-debian.Dockerfile - # Reduce number of CPUs to be able to do more builds in parallel. - cpu: 1 - # Gives us more CPUs for free if they're available. - greedy: true - # More than enough for our scripts. - memory: 1G - -task: - name: "x86_64: Linux (Debian stable)" - << : *LINUX_CONTAINER - matrix: &ENV_MATRIX - - env: {WIDEMUL: int64, RECOVERY: yes} - - env: {WIDEMUL: int64, ECDH: yes, SCHNORRSIG: yes} - - env: {WIDEMUL: int128} - - env: {WIDEMUL: int128_struct} - - env: {WIDEMUL: int128, RECOVERY: yes, SCHNORRSIG: yes} - - env: {WIDEMUL: int128, ECDH: yes, SCHNORRSIG: yes} - - env: {WIDEMUL: int128, ASM: x86_64} - - env: { RECOVERY: yes, SCHNORRSIG: yes} - - env: {CTIMETESTS: no, RECOVERY: yes, ECDH: yes, SCHNORRSIG: yes, CPPFLAGS: -DVERIFY} - - env: {BUILD: distcheck, WITH_VALGRIND: no, CTIMETESTS: no, BENCH: no} - - env: {CPPFLAGS: -DDETERMINISTIC} - - env: {CFLAGS: -O0, CTIMETESTS: no} - - env: { ECMULTGENPRECISION: 2, ECMULTWINDOW: 2 } - - env: { ECMULTGENPRECISION: 8, ECMULTWINDOW: 4 } - matrix: - - env: - CC: gcc - - env: - CC: clang - << : *MERGE_BASE - test_script: - - ./ci/cirrus.sh - << : *CAT_LOGS - -task: - name: "i686: Linux (Debian stable)" - << : *LINUX_CONTAINER - env: - HOST: i686-linux-gnu - ECDH: yes - RECOVERY: yes - SCHNORRSIG: yes - matrix: - - env: - CC: i686-linux-gnu-gcc - - env: - CC: clang --target=i686-pc-linux-gnu -isystem /usr/i686-linux-gnu/include - << : *MERGE_BASE - test_script: - - ./ci/cirrus.sh - << : *CAT_LOGS - -task: - name: "arm64: macOS Ventura" - macos_instance: - image: ghcr.io/cirruslabs/macos-ventura-base:latest - env: - HOMEBREW_NO_AUTO_UPDATE: 1 - HOMEBREW_NO_INSTALL_CLEANUP: 1 - # Cirrus gives us a fixed number of 4 virtual CPUs. Not that we even have that many jobs at the moment... - MAKEFLAGS: -j5 - matrix: - << : *ENV_MATRIX - env: - ASM: no - WITH_VALGRIND: no - CTIMETESTS: no - matrix: - - env: - CC: gcc - - env: - CC: clang - brew_script: - - brew install automake libtool gcc - << : *MERGE_BASE - test_script: - - ./ci/cirrus.sh - << : *CAT_LOGS - << : *CREDITS - -task: - name: "s390x (big-endian): Linux (Debian stable, QEMU)" - << : *LINUX_CONTAINER - env: - WRAPPER_CMD: qemu-s390x - SECP256K1_TEST_ITERS: 16 - HOST: s390x-linux-gnu - WITH_VALGRIND: no - ECDH: yes - RECOVERY: yes - SCHNORRSIG: yes - CTIMETESTS: no - << : *MERGE_BASE - test_script: - # https://sourceware.org/bugzilla/show_bug.cgi?id=27008 - - rm /etc/ld.so.cache - - ./ci/cirrus.sh - << : *CAT_LOGS - -task: - name: "ARM32: Linux (Debian stable, QEMU)" - << : *LINUX_CONTAINER - env: - WRAPPER_CMD: qemu-arm - SECP256K1_TEST_ITERS: 16 - HOST: arm-linux-gnueabihf - WITH_VALGRIND: no - ECDH: yes - RECOVERY: yes - SCHNORRSIG: yes - CTIMETESTS: no - matrix: - - env: {} - - env: {EXPERIMENTAL: yes, ASM: arm} - << : *MERGE_BASE - test_script: - - ./ci/cirrus.sh - << : *CAT_LOGS - -task: - name: "ARM64: Linux (Debian stable, QEMU)" - << : *LINUX_CONTAINER - env: - WRAPPER_CMD: qemu-aarch64 - SECP256K1_TEST_ITERS: 16 - HOST: aarch64-linux-gnu - WITH_VALGRIND: no - ECDH: yes - RECOVERY: yes - SCHNORRSIG: yes - CTIMETESTS: no - << : *MERGE_BASE - test_script: - - ./ci/cirrus.sh - << : *CAT_LOGS - -task: - name: "ppc64le: Linux (Debian stable, QEMU)" - << : *LINUX_CONTAINER - env: - WRAPPER_CMD: qemu-ppc64le - SECP256K1_TEST_ITERS: 16 - HOST: powerpc64le-linux-gnu - WITH_VALGRIND: no - ECDH: yes - RECOVERY: yes - SCHNORRSIG: yes - CTIMETESTS: no - << : *MERGE_BASE - test_script: - - ./ci/cirrus.sh - << : *CAT_LOGS - -task: - << : *LINUX_CONTAINER - env: - WRAPPER_CMD: wine - WITH_VALGRIND: no - ECDH: yes - RECOVERY: yes - SCHNORRSIG: yes - CTIMETESTS: no - matrix: - - name: "x86_64 (mingw32-w64): Windows (Debian stable, Wine)" - env: - HOST: x86_64-w64-mingw32 - - name: "i686 (mingw32-w64): Windows (Debian stable, Wine)" - env: - HOST: i686-w64-mingw32 - << : *MERGE_BASE - test_script: - - ./ci/cirrus.sh - << : *CAT_LOGS - -task: - << : *LINUX_CONTAINER - env: - WRAPPER_CMD: wine - WERROR_CFLAGS: -WX - WITH_VALGRIND: no - ECDH: yes - RECOVERY: yes - EXPERIMENTAL: yes - SCHNORRSIG: yes - CTIMETESTS: no - # Use a MinGW-w64 host to tell ./configure we're building for Windows. - # This will detect some MinGW-w64 tools but then make will need only - # the MSVC tools CC, AR and NM as specified below. - HOST: x86_64-w64-mingw32 - CC: /opt/msvc/bin/x64/cl - AR: /opt/msvc/bin/x64/lib - NM: /opt/msvc/bin/x64/dumpbin -symbols -headers - # Set non-essential options that affect the CLI messages here. - # (They depend on the user's taste, so we don't want to set them automatically in configure.ac.) - CFLAGS: -nologo -diagnostics:caret - LDFLAGS: -Xlinker -Xlinker -Xlinker -nologo - matrix: - - name: "x86_64 (MSVC): Windows (Debian stable, Wine)" - - name: "x86_64 (MSVC): Windows (Debian stable, Wine, int128_struct)" - env: - WIDEMUL: int128_struct - - name: "x86_64 (MSVC): Windows (Debian stable, Wine, int128_struct with __(u)mulh)" - env: - WIDEMUL: int128_struct - CPPFLAGS: -DSECP256K1_MSVC_MULH_TEST_OVERRIDE - - name: "i686 (MSVC): Windows (Debian stable, Wine)" - env: - HOST: i686-w64-mingw32 - CC: /opt/msvc/bin/x86/cl - AR: /opt/msvc/bin/x86/lib - NM: /opt/msvc/bin/x86/dumpbin -symbols -headers - << : *MERGE_BASE - test_script: - - ./ci/cirrus.sh - << : *CAT_LOGS - -# Sanitizers -task: - << : *LINUX_CONTAINER - env: - ECDH: yes - RECOVERY: yes - SCHNORRSIG: yes - CTIMETESTS: no - matrix: - - name: "Valgrind (memcheck)" - container: - cpu: 2 - env: - # The `--error-exitcode` is required to make the test fail if valgrind found errors, otherwise it'll return 0 (https://www.valgrind.org/docs/manual/manual-core.html) - WRAPPER_CMD: "valgrind --error-exitcode=42" - SECP256K1_TEST_ITERS: 2 - - name: "UBSan, ASan, LSan" - container: - memory: 2G - env: - CFLAGS: "-fsanitize=undefined,address -g" - UBSAN_OPTIONS: "print_stacktrace=1:halt_on_error=1" - ASAN_OPTIONS: "strict_string_checks=1:detect_stack_use_after_return=1:detect_leaks=1" - LSAN_OPTIONS: "use_unaligned=1" - SECP256K1_TEST_ITERS: 32 - # Try to cover many configurations with just a tiny matrix. - matrix: - - env: - ASM: auto - - env: - ASM: no - ECMULTGENPRECISION: 2 - ECMULTWINDOW: 2 - matrix: - - env: - CC: clang - - env: - HOST: i686-linux-gnu - CC: i686-linux-gnu-gcc - << : *MERGE_BASE - test_script: - - ./ci/cirrus.sh - << : *CAT_LOGS - -# Memory sanitizers -task: - << : *LINUX_CONTAINER - name: "MSan" - env: - ECDH: yes - RECOVERY: yes - SCHNORRSIG: yes - CTIMETESTS: yes - CC: clang - SECP256K1_TEST_ITERS: 32 - ASM: no - WITH_VALGRIND: no - container: - memory: 2G - matrix: - - env: - CFLAGS: "-fsanitize=memory -g" - - env: - ECMULTGENPRECISION: 2 - ECMULTWINDOW: 2 - CFLAGS: "-fsanitize=memory -g -O3" - << : *MERGE_BASE - test_script: - - ./ci/cirrus.sh - << : *CAT_LOGS - -task: - name: "C++ -fpermissive (entire project)" - << : *LINUX_CONTAINER - env: - CC: g++ - CFLAGS: -fpermissive -g - CPPFLAGS: -DSECP256K1_CPLUSPLUS_TEST_OVERRIDE - WERROR_CFLAGS: - ECDH: yes - RECOVERY: yes - SCHNORRSIG: yes - << : *MERGE_BASE - test_script: - - ./ci/cirrus.sh - << : *CAT_LOGS - -task: - name: "C++ (public headers)" - << : *LINUX_CONTAINER - test_script: - - g++ -Werror include/*.h - - clang -Werror -x c++-header include/*.h - - /opt/msvc/bin/x64/cl.exe -c -WX -TP include/*.h - -task: - name: "sage prover" - << : *LINUX_CONTAINER - test_script: - - cd sage - - sage prove_group_implementations.sage - -task: - name: "x86_64: Windows (VS 2022)" - windows_container: - image: cirrusci/windowsservercore:visualstudio2022 - cpu: 4 - memory: 3840MB - env: - PATH: '%CIRRUS_WORKING_DIR%\build\src\RelWithDebInfo;%PATH%' - x64_NATIVE_TOOLS: '"C:\Program Files (x86)\Microsoft Visual Studio\2022\BuildTools\VC\Auxiliary\Build\vcvars64.bat"' - # Ignore MSBuild warning MSB8029. - # See: https://learn.microsoft.com/en-us/visualstudio/msbuild/errors/msb8029?view=vs-2022 - IgnoreWarnIntDirInTempDetected: 'true' - merge_script: - - PowerShell -NoLogo -Command if ($env:CIRRUS_PR -ne $null) { git fetch $env:CIRRUS_REPO_CLONE_URL pull/$env:CIRRUS_PR/merge; git reset --hard FETCH_HEAD; } - configure_script: - - '%x64_NATIVE_TOOLS%' - - cmake -G "Visual Studio 17 2022" -A x64 -S . -B build -DSECP256K1_ENABLE_MODULE_RECOVERY=ON -DSECP256K1_BUILD_EXAMPLES=ON - build_script: - - '%x64_NATIVE_TOOLS%' - - cmake --build build --config RelWithDebInfo -- -property:UseMultiToolTask=true;CL_MPcount=5 - check_script: - - '%x64_NATIVE_TOOLS%' - - ctest --test-dir build -j 5 - - build\src\RelWithDebInfo\bench_ecmult.exe - - build\src\RelWithDebInfo\bench_internal.exe - - build\src\RelWithDebInfo\bench.exe diff --git a/.github/actions/install-homebrew-valgrind/action.yml b/.github/actions/install-homebrew-valgrind/action.yml new file mode 100644 index 0000000000..ce10eb2686 --- /dev/null +++ b/.github/actions/install-homebrew-valgrind/action.yml @@ -0,0 +1,33 @@ +name: "Install Valgrind" +description: "Install Homebrew's Valgrind package and cache it." +runs: + using: "composite" + steps: + - run: | + brew tap LouisBrunner/valgrind + brew fetch --HEAD LouisBrunner/valgrind/valgrind + echo "CI_HOMEBREW_CELLAR_VALGRIND=$(brew --cellar valgrind)" >> "$GITHUB_ENV" + shell: bash + + - run: | + sw_vers > valgrind_fingerprint + brew --version >> valgrind_fingerprint + git -C "$(brew --cache)/valgrind--git" rev-parse HEAD >> valgrind_fingerprint + cat valgrind_fingerprint + shell: bash + + - uses: actions/cache@v4 + id: cache + with: + path: ${{ env.CI_HOMEBREW_CELLAR_VALGRIND }} + key: ${{ github.job }}-valgrind-${{ hashFiles('valgrind_fingerprint') }} + + - if: steps.cache.outputs.cache-hit != 'true' + run: | + brew install --HEAD LouisBrunner/valgrind/valgrind + shell: bash + + - if: steps.cache.outputs.cache-hit == 'true' + run: | + brew link valgrind + shell: bash diff --git a/.github/actions/print-logs/action.yml b/.github/actions/print-logs/action.yml new file mode 100644 index 0000000000..33de35cb34 --- /dev/null +++ b/.github/actions/print-logs/action.yml @@ -0,0 +1,34 @@ +name: "Print logs" +description: "Print the log files produced by ci/ci.sh" +runs: + using: "composite" + steps: + - shell: bash + run: | + # Print the log files produced by ci/ci.sh + + # Helper functions + group() { + title=$1 + echo "::group::$title" + } + endgroup() { + echo "::endgroup::" + } + cat_file() { + file=$1 + group "$file" + cat "$file" + endgroup + } + + # Print all *.log files + shopt -s nullglob + for file in *.log; do + cat_file "$file" + done + + # Print environment + group "CI env" + env + endgroup diff --git a/.github/actions/run-in-docker-action/action.yml b/.github/actions/run-in-docker-action/action.yml new file mode 100644 index 0000000000..5d46ca1b01 --- /dev/null +++ b/.github/actions/run-in-docker-action/action.yml @@ -0,0 +1,53 @@ +name: 'Run in Docker with environment' +description: 'Run a command in a Docker container, while passing explicitly set environment variables into the container.' +inputs: + dockerfile: + description: 'A Dockerfile that defines an image' + required: true + scope: + description: 'A cached image scope' + required: false + default: ${{ runner.arch }} + command: + description: 'A command to run in a container' + required: true +runs: + using: "composite" + steps: + - uses: docker/setup-buildx-action@v3 + + - uses: docker/build-push-action@v6 + id: main_builder + continue-on-error: true + with: + context: . + file: ${{ inputs.dockerfile }} + load: true + cache-from: type=gha,scope=${{ inputs.scope }} + + - uses: docker/build-push-action@v6 + id: retry_builder + if: steps.main_builder.outcome == 'failure' + with: + context: . + file: ${{ inputs.dockerfile }} + load: true + cache-from: type=gha,scope=${{ inputs.scope }} + + - # Workaround for https://github.com/google/sanitizers/issues/1614 . + # The underlying issue has been fixed in clang 18.1.3. + run: sudo sysctl -w vm.mmap_rnd_bits=28 + shell: bash + + - # Tell Docker to pass environment variables in `env` into the container. + run: > + docker run \ + $(echo '${{ toJSON(env) }}' | jq -r 'keys[] | "--env \(.) "') \ + --volume ${{ github.workspace }}:${{ github.workspace }} \ + --workdir ${{ github.workspace }} \ + $(docker images -q | head -n1) \ + bash -c " + git config --global --add safe.directory ${{ github.workspace }} + ${{ inputs.command }} + " + shell: bash diff --git a/.github/workflows/ci.yml b/.github/workflows/ci.yml new file mode 100644 index 0000000000..59d2251497 --- /dev/null +++ b/.github/workflows/ci.yml @@ -0,0 +1,679 @@ +name: CI +on: + pull_request: + push: + branches: + - '**' + tags-ignore: + - '**' + +concurrency: + group: ${{ github.event_name != 'pull_request' && github.run_id || github.ref }} + cancel-in-progress: true + +env: + ### compiler options + HOST: + WRAPPER_CMD: + # Specific warnings can be disabled with -Wno-error=foo. + # -pedantic-errors is not equivalent to -Werror=pedantic and thus not implied by -Werror according to the GCC manual. + WERROR_CFLAGS: '-Werror -pedantic-errors' + MAKEFLAGS: '-j4' + BUILD: 'check' + ### secp256k1 config + ECMULTWINDOW: 15 + ECMULTGENKB: 86 + ASM: 'no' + WIDEMUL: 'auto' + WITH_VALGRIND: 'yes' + EXTRAFLAGS: + ### secp256k1 modules + EXPERIMENTAL: 'no' + ECDH: 'no' + RECOVERY: 'no' + EXTRAKEYS: 'no' + SCHNORRSIG: 'no' + MUSIG: 'no' + ELLSWIFT: 'no' + ### test options + SECP256K1_TEST_ITERS: 64 + BENCH: 'yes' + SECP256K1_BENCH_ITERS: 2 + CTIMETESTS: 'yes' + SYMBOL_CHECK: 'yes' + # Compile and run the examples. + EXAMPLES: 'yes' + +jobs: + docker_cache: + name: "Build ${{ matrix.arch }} Docker image" + runs-on: ${{ matrix.runner }} + + strategy: + fail-fast: false + matrix: + include: + - arch: x64 + runner: ubuntu-latest + - arch: arm64 + runner: ubuntu-24.04-arm + + steps: + - name: Set up Docker Buildx + uses: docker/setup-buildx-action@v3 + with: + # See: https://github.com/moby/buildkit/issues/3969. + driver-opts: | + network=host + + - name: Build container + uses: docker/build-push-action@v6 + with: + file: ./ci/linux-debian.Dockerfile + cache-from: type=gha,scope=${{ runner.arch }} + cache-to: type=gha,scope=${{ runner.arch }},mode=min + + x86_64-debian: + name: "x86_64: Linux (Debian stable)" + runs-on: ubuntu-latest + needs: docker_cache + + strategy: + fail-fast: false + matrix: + configuration: + - env_vars: { WIDEMUL: 'int64', RECOVERY: 'yes' } + - env_vars: { WIDEMUL: 'int64', ECDH: 'yes', EXTRAKEYS: 'yes', SCHNORRSIG: 'yes', MUSIG: 'yes', ELLSWIFT: 'yes' } + - env_vars: { WIDEMUL: 'int128' } + - env_vars: { WIDEMUL: 'int128_struct', ELLSWIFT: 'yes' } + - env_vars: { WIDEMUL: 'int128', RECOVERY: 'yes', EXTRAKEYS: 'yes', SCHNORRSIG: 'yes', MUSIG: 'yes', ELLSWIFT: 'yes' } + - env_vars: { WIDEMUL: 'int128', ECDH: 'yes', EXTRAKEYS: 'yes', SCHNORRSIG: 'yes', MUSIG: 'yes' } + - env_vars: { WIDEMUL: 'int128', ASM: 'x86_64', ELLSWIFT: 'yes' } + - env_vars: { RECOVERY: 'yes', EXTRAKEYS: 'yes', SCHNORRSIG: 'yes', MUSIG: 'yes' } + - env_vars: { CTIMETESTS: 'no', RECOVERY: 'yes', ECDH: 'yes', EXTRAKEYS: 'yes', SCHNORRSIG: 'yes', MUSIG: 'yes', CPPFLAGS: '-DVERIFY' } + - env_vars: { BUILD: 'distcheck', WITH_VALGRIND: 'no', CTIMETESTS: 'no', BENCH: 'no' } + - env_vars: { CPPFLAGS: '-DDETERMINISTIC' } + - env_vars: { CFLAGS: '-O0', CTIMETESTS: 'no' } + - env_vars: { CFLAGS: '-O1', RECOVERY: 'yes', ECDH: 'yes', EXTRAKEYS: 'yes', SCHNORRSIG: 'yes', MUSIG: 'yes', ELLSWIFT: 'yes' } + - env_vars: { ECMULTGENKB: 2, ECMULTWINDOW: 2 } + - env_vars: { ECMULTGENKB: 86, ECMULTWINDOW: 4 } + cc: + - 'gcc' + - 'clang' + - 'gcc-snapshot' + - 'clang-snapshot' + + env: + CC: ${{ matrix.cc }} + + steps: + - &CHECKOUT + name: Checkout + uses: actions/checkout@v5 + + - &CI_SCRIPT_IN_DOCKER + name: CI script + env: ${{ matrix.configuration.env_vars }} + uses: ./.github/actions/run-in-docker-action + with: + dockerfile: ./ci/linux-debian.Dockerfile + command: ./ci/ci.sh + + - &PRINT_LOGS + name: Print logs + uses: ./.github/actions/print-logs + if: ${{ !cancelled() }} + + i686_debian: + name: "i686: Linux (Debian stable)" + runs-on: ubuntu-latest + needs: docker_cache + + strategy: + fail-fast: false + matrix: + configuration: + - env_vars: {} + cc: + - 'i686-linux-gnu-gcc' + - 'clang --target=i686-pc-linux-gnu -isystem /usr/i686-linux-gnu/include' + + env: + HOST: 'i686-linux-gnu' + ECDH: 'yes' + RECOVERY: 'yes' + EXTRAKEYS: 'yes' + SCHNORRSIG: 'yes' + MUSIG: 'yes' + ELLSWIFT: 'yes' + CC: ${{ matrix.cc }} + + steps: + - *CHECKOUT + - *CI_SCRIPT_IN_DOCKER + - *PRINT_LOGS + + s390x_debian: + name: "s390x (big-endian): Linux (Debian stable, QEMU)" + runs-on: ubuntu-latest + needs: docker_cache + + strategy: + matrix: + configuration: + - env_vars: {} + + env: + WRAPPER_CMD: 'qemu-s390x' + SECP256K1_TEST_ITERS: 16 + HOST: 's390x-linux-gnu' + WITH_VALGRIND: 'no' + ECDH: 'yes' + RECOVERY: 'yes' + EXTRAKEYS: 'yes' + SCHNORRSIG: 'yes' + MUSIG: 'yes' + ELLSWIFT: 'yes' + CTIMETESTS: 'no' + + steps: + - *CHECKOUT + - *CI_SCRIPT_IN_DOCKER + - *PRINT_LOGS + + arm32_debian: + name: "ARM32: Linux (Debian stable, QEMU)" + runs-on: ubuntu-latest + needs: docker_cache + + strategy: + fail-fast: false + matrix: + configuration: + - env_vars: {} + - env_vars: { EXPERIMENTAL: 'yes', ASM: 'arm32' } + + env: + WRAPPER_CMD: 'qemu-arm' + SECP256K1_TEST_ITERS: 16 + HOST: 'arm-linux-gnueabihf' + WITH_VALGRIND: 'no' + ECDH: 'yes' + RECOVERY: 'yes' + EXTRAKEYS: 'yes' + SCHNORRSIG: 'yes' + MUSIG: 'yes' + ELLSWIFT: 'yes' + CTIMETESTS: 'no' + + steps: + - *CHECKOUT + - *CI_SCRIPT_IN_DOCKER + - *PRINT_LOGS + + arm64-debian: + name: "arm64: Linux (Debian stable)" + runs-on: ubuntu-24.04-arm + needs: docker_cache + + env: + SECP256K1_TEST_ITERS: 16 + WITH_VALGRIND: 'no' + ECDH: 'yes' + RECOVERY: 'yes' + EXTRAKEYS: 'yes' + SCHNORRSIG: 'yes' + MUSIG: 'yes' + ELLSWIFT: 'yes' + CTIMETESTS: 'no' + CC: ${{ matrix.cc }} + + strategy: + fail-fast: false + matrix: + configuration: + - env_vars: {} + cc: + - 'gcc' + - 'clang' + - 'gcc-snapshot' + - 'clang-snapshot' + + steps: + - *CHECKOUT + - *CI_SCRIPT_IN_DOCKER + - *PRINT_LOGS + + ppc64le_debian: + name: "ppc64le: Linux (Debian stable, QEMU)" + runs-on: ubuntu-latest + needs: docker_cache + + strategy: + matrix: + configuration: + - env_vars: {} + + env: + WRAPPER_CMD: 'qemu-ppc64le' + SECP256K1_TEST_ITERS: 16 + HOST: 'powerpc64le-linux-gnu' + WITH_VALGRIND: 'no' + ECDH: 'yes' + RECOVERY: 'yes' + EXTRAKEYS: 'yes' + SCHNORRSIG: 'yes' + MUSIG: 'yes' + ELLSWIFT: 'yes' + CTIMETESTS: 'no' + + steps: + - *CHECKOUT + - *CI_SCRIPT_IN_DOCKER + - *PRINT_LOGS + + valgrind_debian: + name: "Valgrind ${{ matrix.configuration.binary_arch }} (memcheck)" + runs-on: ${{ matrix.configuration.runner }} + needs: docker_cache + + strategy: + fail-fast: false + matrix: + configuration: + - runner: ubuntu-latest + binary_arch: x64 + env_vars: { CC: 'clang', ASM: 'auto' } + - runner: ubuntu-latest + binary_arch: i686 + env_vars: { CC: 'i686-linux-gnu-gcc', HOST: 'i686-linux-gnu', ASM: 'auto' } + - runner: ubuntu-24.04-arm + binary_arch: arm64 + env_vars: { CC: 'clang', ASM: 'auto' } + - runner: ubuntu-latest + binary_arch: x64 + env_vars: { CC: 'clang', ASM: 'no', ECMULTGENKB: 2, ECMULTWINDOW: 2 } + - runner: ubuntu-latest + binary_arch: i686 + env_vars: { CC: 'i686-linux-gnu-gcc', HOST: 'i686-linux-gnu', ASM: 'no', ECMULTGENKB: 2, ECMULTWINDOW: 2 } + - runner: ubuntu-24.04-arm + binary_arch: arm64 + env_vars: { CC: 'clang', ASM: 'no', ECMULTGENKB: 2, ECMULTWINDOW: 2 } + + env: + # The `--error-exitcode` is required to make the test fail if valgrind found errors, + # otherwise it will return 0 (https://www.valgrind.org/docs/manual/manual-core.html). + WRAPPER_CMD: 'valgrind --error-exitcode=42' + ECDH: 'yes' + RECOVERY: 'yes' + EXTRAKEYS: 'yes' + SCHNORRSIG: 'yes' + MUSIG: 'yes' + ELLSWIFT: 'yes' + CTIMETESTS: 'no' + SECP256K1_TEST_ITERS: 2 + + steps: + - *CHECKOUT + - *CI_SCRIPT_IN_DOCKER + - *PRINT_LOGS + + sanitizers_debian: + name: "UBSan, ASan, LSan" + runs-on: ubuntu-latest + needs: docker_cache + + strategy: + fail-fast: false + matrix: + configuration: + - env_vars: { CC: 'clang', ASM: 'auto' } + - env_vars: { CC: 'i686-linux-gnu-gcc', HOST: 'i686-linux-gnu', ASM: 'auto' } + - env_vars: { CC: 'clang', ASM: 'no', ECMULTGENKB: 2, ECMULTWINDOW: 2 } + - env_vars: { CC: 'i686-linux-gnu-gcc', HOST: 'i686-linux-gnu', ASM: 'no', ECMULTGENKB: 2, ECMULTWINDOW: 2 } + + env: + ECDH: 'yes' + RECOVERY: 'yes' + EXTRAKEYS: 'yes' + SCHNORRSIG: 'yes' + MUSIG: 'yes' + ELLSWIFT: 'yes' + CTIMETESTS: 'no' + CFLAGS: '-fsanitize=undefined,address -g' + UBSAN_OPTIONS: 'print_stacktrace=1:halt_on_error=1' + ASAN_OPTIONS: 'strict_string_checks=1:detect_stack_use_after_return=1:detect_leaks=1' + LSAN_OPTIONS: 'use_unaligned=1' + SECP256K1_TEST_ITERS: 32 + SYMBOL_CHECK: 'no' + + steps: + - *CHECKOUT + - *CI_SCRIPT_IN_DOCKER + - *PRINT_LOGS + + msan_debian: + name: "MSan" + runs-on: ubuntu-latest + needs: docker_cache + + strategy: + fail-fast: false + matrix: + configuration: + - env_vars: + CTIMETESTS: 'yes' + CFLAGS: '-fsanitize=memory -fsanitize-recover=memory -g' + - env_vars: + ECMULTGENKB: 2 + ECMULTWINDOW: 2 + CTIMETESTS: 'yes' + CFLAGS: '-fsanitize=memory -fsanitize-recover=memory -g -O3' + - env_vars: + # -fsanitize-memory-param-retval is clang's default, but our build system disables it + # when ctime_tests when enabled. + CFLAGS: '-fsanitize=memory -fsanitize-recover=memory -fsanitize-memory-param-retval -g' + CTIMETESTS: 'no' + cc: + - 'clang' + - 'clang-snapshot' + + env: + ECDH: 'yes' + RECOVERY: 'yes' + EXTRAKEYS: 'yes' + SCHNORRSIG: 'yes' + MUSIG: 'yes' + ELLSWIFT: 'yes' + CC: ${{ matrix.cc }} + SECP256K1_TEST_ITERS: 32 + ASM: 'no' + WITH_VALGRIND: 'no' + SYMBOL_CHECK: 'no' + + steps: + - *CHECKOUT + - *CI_SCRIPT_IN_DOCKER + - *PRINT_LOGS + + mingw_debian: + name: ${{ matrix.configuration.job_name }} + runs-on: ubuntu-latest + needs: docker_cache + + env: + WRAPPER_CMD: 'wine' + WITH_VALGRIND: 'no' + ECDH: 'yes' + RECOVERY: 'yes' + EXTRAKEYS: 'yes' + SCHNORRSIG: 'yes' + MUSIG: 'yes' + ELLSWIFT: 'yes' + CTIMETESTS: 'no' + + strategy: + fail-fast: false + matrix: + configuration: + - job_name: 'x86_64 (mingw32-w64): Windows (Debian stable, Wine)' + env_vars: + HOST: 'x86_64-w64-mingw32' + - job_name: 'i686 (mingw32-w64): Windows (Debian stable, Wine)' + env_vars: + HOST: 'i686-w64-mingw32' + + steps: + - *CHECKOUT + - *CI_SCRIPT_IN_DOCKER + - *PRINT_LOGS + + x86_64-macos-native: + name: "x86_64: macOS Sequoia, Valgrind" + runs-on: macos-15-intel + + env: + CC: 'clang' + HOMEBREW_NO_AUTO_UPDATE: 1 + HOMEBREW_NO_INSTALL_CLEANUP: 1 + SYMBOL_CHECK: 'no' + + strategy: + fail-fast: false + matrix: + env_vars: + - { WIDEMUL: 'int64', RECOVERY: 'yes', ECDH: 'yes', EXTRAKEYS: 'yes', SCHNORRSIG: 'yes', MUSIG: 'yes', ELLSWIFT: 'yes' } + - { WIDEMUL: 'int128_struct', ECMULTGENKB: 2, ECMULTWINDOW: 4 } + - { WIDEMUL: 'int128', ECDH: 'yes', EXTRAKEYS: 'yes', SCHNORRSIG: 'yes', MUSIG: 'yes', ELLSWIFT: 'yes' } + - { WIDEMUL: 'int128', RECOVERY: 'yes' } + - { WIDEMUL: 'int128', RECOVERY: 'yes', ECDH: 'yes', EXTRAKEYS: 'yes', SCHNORRSIG: 'yes', MUSIG: 'yes', ELLSWIFT: 'yes' } + - { WIDEMUL: 'int128', RECOVERY: 'yes', ECDH: 'yes', EXTRAKEYS: 'yes', SCHNORRSIG: 'yes', MUSIG: 'yes', ELLSWIFT: 'yes', CC: 'gcc' } + - { WIDEMUL: 'int128', RECOVERY: 'yes', ECDH: 'yes', EXTRAKEYS: 'yes', SCHNORRSIG: 'yes', MUSIG: 'yes', ELLSWIFT: 'yes', WRAPPER_CMD: 'valgrind --error-exitcode=42', SECP256K1_TEST_ITERS: 2 } + - { WIDEMUL: 'int128', RECOVERY: 'yes', ECDH: 'yes', EXTRAKEYS: 'yes', SCHNORRSIG: 'yes', MUSIG: 'yes', ELLSWIFT: 'yes', CC: 'gcc', WRAPPER_CMD: 'valgrind --error-exitcode=42', SECP256K1_TEST_ITERS: 2 } + - { WIDEMUL: 'int128', RECOVERY: 'yes', ECDH: 'yes', EXTRAKEYS: 'yes', SCHNORRSIG: 'yes', MUSIG: 'yes', ELLSWIFT: 'yes', CPPFLAGS: '-DVERIFY', CTIMETESTS: 'no' } + - BUILD: 'distcheck' + + steps: + - *CHECKOUT + + - name: Install Homebrew packages + run: | + brew install --quiet automake libtool gcc + ln -s $(brew --prefix gcc)/bin/gcc-?? /usr/local/bin/gcc + + - name: Install and cache Valgrind + uses: ./.github/actions/install-homebrew-valgrind + + - &CI_SCRIPT_ON_HOST + name: CI script + env: ${{ matrix.env_vars }} + run: ./ci/ci.sh + + - &SYMBOL_CHECK_MACOS + name: Symbol check + env: + VIRTUAL_ENV: '${{ github.workspace }}/venv' + run: | + python3 --version + python3 -m venv $VIRTUAL_ENV + export PATH="$VIRTUAL_ENV/bin:$PATH" + python3 -m pip install lief + python3 ./tools/symbol-check.py .libs/libsecp256k1.dylib + + - *PRINT_LOGS + + arm64-macos-native: + name: "ARM64: macOS Sonoma" + # See: https://github.com/actions/runner-images#available-images. + runs-on: macos-14 + + env: + CC: 'clang' + HOMEBREW_NO_AUTO_UPDATE: 1 + HOMEBREW_NO_INSTALL_CLEANUP: 1 + WITH_VALGRIND: 'no' + CTIMETESTS: 'no' + SYMBOL_CHECK: 'no' + + strategy: + fail-fast: false + matrix: + env_vars: + - { WIDEMUL: 'int64', RECOVERY: 'yes', ECDH: 'yes', EXTRAKEYS: 'yes', SCHNORRSIG: 'yes', MUSIG: 'yes', ELLSWIFT: 'yes' } + - { WIDEMUL: 'int128_struct', ECMULTGENPRECISION: 2, ECMULTWINDOW: 4 } + - { WIDEMUL: 'int128', ECDH: 'yes', EXTRAKEYS: 'yes', SCHNORRSIG: 'yes', MUSIG: 'yes', ELLSWIFT: 'yes' } + - { WIDEMUL: 'int128', RECOVERY: 'yes' } + - { WIDEMUL: 'int128', RECOVERY: 'yes', ECDH: 'yes', EXTRAKEYS: 'yes', SCHNORRSIG: 'yes', MUSIG: 'yes', ELLSWIFT: 'yes' } + - { WIDEMUL: 'int128', RECOVERY: 'yes', ECDH: 'yes', EXTRAKEYS: 'yes', SCHNORRSIG: 'yes', MUSIG: 'yes', ELLSWIFT: 'yes', CC: 'gcc' } + - { WIDEMUL: 'int128', RECOVERY: 'yes', ECDH: 'yes', EXTRAKEYS: 'yes', SCHNORRSIG: 'yes', MUSIG: 'yes', ELLSWIFT: 'yes', CPPFLAGS: '-DVERIFY' } + - BUILD: 'distcheck' + + steps: + - *CHECKOUT + + - name: Install Homebrew packages + run: | + brew install --quiet automake libtool gcc + ln -s $(brew --prefix gcc)/bin/gcc-?? /usr/local/bin/gcc + + - *CI_SCRIPT_ON_HOST + - *SYMBOL_CHECK_MACOS + - *PRINT_LOGS + + win64-native: + name: ${{ matrix.configuration.job_name }} + # See: https://github.com/actions/runner-images#available-images. + runs-on: windows-2022 + + strategy: + fail-fast: false + matrix: + configuration: + - job_name: 'x64 (MSVC): Windows (VS 2022, shared)' + cmake_options: '-A x64 -DBUILD_SHARED_LIBS=ON' + symbol_check: 'true' + - job_name: 'x64 (MSVC): Windows (VS 2022, static)' + cmake_options: '-A x64 -DBUILD_SHARED_LIBS=OFF' + - job_name: 'x64 (MSVC): Windows (VS 2022, int128_struct)' + cmake_options: '-A x64 -DSECP256K1_TEST_OVERRIDE_WIDE_MULTIPLY=int128_struct' + - job_name: 'x64 (MSVC): Windows (VS 2022, int128_struct with __(u)mulh)' + cmake_options: '-A x64 -DSECP256K1_TEST_OVERRIDE_WIDE_MULTIPLY=int128_struct' + cpp_flags: '/DSECP256K1_MSVC_MULH_TEST_OVERRIDE' + - job_name: 'x86 (MSVC): Windows (VS 2022)' + cmake_options: '-A Win32' + - job_name: 'x64 (clang-cl): Windows (VS 2022, shared)' + cmake_options: '-T ClangCL -DBUILD_SHARED_LIBS=ON' + symbol_check: 'true' + - job_name: 'x64 (clang-cl): Windows (VS 2022, static)' + cmake_options: '-T ClangCL -DBUILD_SHARED_LIBS=OFF' + - job_name: 'x64 (clang-cl): Windows (VS 2022, int128_struct)' + cmake_options: '-T ClangCL -DSECP256K1_TEST_OVERRIDE_WIDE_MULTIPLY=int128_struct' + - job_name: 'x64 (clang-cl): Windows (VS 2022, int128_struct with __(u)mulh)' + cmake_options: '-T ClangCL -DSECP256K1_TEST_OVERRIDE_WIDE_MULTIPLY=int128_struct' + cpp_flags: '/DSECP256K1_MSVC_MULH_TEST_OVERRIDE' + + steps: + - *CHECKOUT + + - name: Generate buildsystem + run: cmake -E env CFLAGS="/WX ${{ matrix.configuration.cpp_flags }}" cmake -B build -DSECP256K1_ENABLE_MODULE_RECOVERY=ON -DSECP256K1_BUILD_EXAMPLES=ON ${{ matrix.configuration.cmake_options }} + + - name: Build + run: cmake --build build --config RelWithDebInfo -- /p:UseMultiToolTask=true /maxCpuCount + + - name: Binaries info + # Use the bash shell included with Git for Windows. + shell: bash + run: | + cd build/bin/RelWithDebInfo && file *tests.exe bench*.exe libsecp256k1-*.dll || true + + - name: Symbol check + if: ${{ matrix.configuration.symbol_check }} + shell: bash + run: | + py -3 --version + py -3 -m pip install lief + py -3 ./tools/symbol-check.py build/bin/RelWithDebInfo/libsecp256k1-*.dll + + - name: Check + run: | + ctest -C RelWithDebInfo --test-dir build -j ([int]$env:NUMBER_OF_PROCESSORS + 1) + build\bin\RelWithDebInfo\bench_ecmult.exe + build\bin\RelWithDebInfo\bench_internal.exe + build\bin\RelWithDebInfo\bench.exe + + win64-native-headers: + name: "x64 (MSVC): C++ (public headers)" + # See: https://github.com/actions/runner-images#available-images. + runs-on: windows-2022 + + steps: + - *CHECKOUT + + - name: Add cl.exe to PATH + uses: ilammy/msvc-dev-cmd@v1 + + - name: C++ (public headers) + run: | + cl.exe -c -WX -TP include/*.h + + cxx_fpermissive_debian: + name: "C++ -fpermissive (entire project)" + runs-on: ubuntu-latest + needs: docker_cache + + strategy: + matrix: + configuration: + - env_vars: {} + + env: + CC: 'g++' + CFLAGS: '-fpermissive -g' + CPPFLAGS: '-DSECP256K1_CPLUSPLUS_TEST_OVERRIDE' + WERROR_CFLAGS: + ECDH: 'yes' + RECOVERY: 'yes' + EXTRAKEYS: 'yes' + SCHNORRSIG: 'yes' + MUSIG: 'yes' + ELLSWIFT: 'yes' + + steps: + - *CHECKOUT + - *CI_SCRIPT_IN_DOCKER + - *PRINT_LOGS + + cxx_headers_debian: + name: "C++ (public headers)" + runs-on: ubuntu-latest + needs: docker_cache + + steps: + - *CHECKOUT + + - name: CI script + uses: ./.github/actions/run-in-docker-action + with: + dockerfile: ./ci/linux-debian.Dockerfile + command: | + g++ -Werror include/*.h + clang -Werror -x c++-header include/*.h + + sage: + name: "SageMath prover" + runs-on: ubuntu-latest + container: + image: sagemath/sagemath:latest + options: --user root + + steps: + - *CHECKOUT + + - name: CI script + run: | + cd sage + sage prove_group_implementations.sage + + release: + runs-on: ubuntu-latest + + steps: + - *CHECKOUT + + - run: ./autogen.sh && ./configure --enable-dev-mode && make distcheck + + - name: Check installation with Autotools + env: + CI_INSTALL: ${{ runner.temp }}/${{ github.run_id }}${{ github.action }}/install + run: | + ./autogen.sh && ./configure --prefix=${{ env.CI_INSTALL }} && make clean && make install && ls -RlAh ${{ env.CI_INSTALL }} + gcc -o ecdsa examples/ecdsa.c $(PKG_CONFIG_PATH=${{ env.CI_INSTALL }}/lib/pkgconfig pkg-config --cflags --libs libsecp256k1) -Wl,-rpath,"${{ env.CI_INSTALL }}/lib" && ./ecdsa + + - name: Check installation with CMake + env: + CI_BUILD: ${{ runner.temp }}/${{ github.run_id }}${{ github.action }}/build + CI_INSTALL: ${{ runner.temp }}/${{ github.run_id }}${{ github.action }}/install + run: | + cmake -B ${{ env.CI_BUILD }} -DCMAKE_INSTALL_PREFIX=${{ env.CI_INSTALL }} && cmake --build ${{ env.CI_BUILD }} && cmake --install ${{ env.CI_BUILD }} && ls -RlAh ${{ env.CI_INSTALL }} + gcc -o ecdsa examples/ecdsa.c -I ${{ env.CI_INSTALL }}/include -L ${{ env.CI_INSTALL }}/lib*/ -l secp256k1 -Wl,-rpath,"${{ env.CI_INSTALL }}/lib",-rpath,"${{ env.CI_INSTALL }}/lib64" && ./ecdsa diff --git a/.gitignore b/.gitignore index bc7e499de7..ce33a84adf 100644 --- a/.gitignore +++ b/.gitignore @@ -10,6 +10,8 @@ ctime_tests ecdh_example ecdsa_example schnorr_example +ellswift_example +musig_example *.exe *.so *.a @@ -59,5 +61,11 @@ build-aux/compile build-aux/test-driver libsecp256k1.pc +### CMake +/CMakeUserPresets.json # Default CMake build directory. /build + +### Python +__pycache__/ +*.py[oc] diff --git a/CHANGELOG.md b/CHANGELOG.md index 7f43843641..53c787b38f 100644 --- a/CHANGELOG.md +++ b/CHANGELOG.md @@ -7,6 +7,140 @@ and this project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0 ## [Unreleased] +## [0.7.0] - 2025-07-21 + +#### Added + - CMake: Added `secp256k1_objs` interface library to allow parent projects to embed libsecp256k1 object files into their own static libraries. + - build: Added `SECP256K1_NO_API_VISIBILITY_ATTRIBUTES` preprocessor flag (CMake option: `SECP256K1_ENABLE_API_VISIBILITY_ATTRIBUTES`) that disables explicit "visibility" attributes for API symbols. Defining this macro enables the user to control the visibility of the API symbols via `-fvisibility=` when building libsecp256k1. (All non-API declarations will always have hidden visibility, even with `SECP256K1_ENABLE_API_VISIBILITY_ATTRIBUTES` defined.) For instance, `-fvisibility=hidden` can be useful even for the API symbols, e.g., when building a static libsecp256k1 which is linked into a shared library, and the latter should not re-export the libsecp256k1 API. + +#### Changed + - The pointers `secp256k1_context_static` and `secp256k1_context_no_precomp` to the constant context objects are now `const`. + - Removed `SECP256K1_WARN_UNUSED_RESULT` attribute (defined as `__attribute__ ((__warn_unused_result__))`) from several API functions that always return 1. Compilers will no longer warn if the return value is unused. + - CMake: Building with CMake is no longer considered experimental. + - CMake: The minimum required CMake version was increased to 3.22. + - CMake: Shared libraries built with CMake on FreeBSD now create the full versioned filename and symlink chain, matching the behavior of autotools builds. + +#### Removed +- Removed previously deprecated function aliases `secp256k1_ec_privkey_negate`, `secp256k1_ec_privkey_tweak_add` and + `secp256k1_ec_privkey_tweak_mul`. Use `secp256k1_ec_seckey_negate`, `secp256k1_ec_seckey_tweak_add` and + `secp256k1_ec_seckey_tweak_mul` instead. + +#### ABI Compatibility +The symbols `secp256k1_ec_privkey_negate`, `secp256k1_ec_privkey_tweak_add`, and `secp256k1_ec_privkey_tweak_mul` were removed. +The pointers `secp256k1_context_static` and `secp256k1_context_no_precomp` have been made `const`. +Otherwise, the library maintains backward compatibility with version 0.6.0. + +## [0.6.0] - 2024-11-04 + +#### Added + - New module `musig` implements the MuSig2 multisignature scheme according to the [BIP 327 specification](https://github.com/bitcoin/bips/blob/master/bip-0327.mediawiki). See: + - Header file `include/secp256k1_musig.h` which defines the new API. + - Document `doc/musig.md` for further notes on API usage. + - Usage example `examples/musig.c`. + - New CMake variable `SECP256K1_APPEND_LDFLAGS` for appending linker flags to the build command. + +#### Changed + - API functions now use a significantly more robust method to clear secrets from the stack before returning. However, secret clearing remains a best-effort security measure and cannot guarantee complete removal. + - Any type `secp256k1_foo` can now be forward-declared using `typedef struct secp256k1_foo secp256k1_foo;` (or also `struct secp256k1_foo;` in C++). + - Organized CMake build artifacts into dedicated directories (`bin/` for executables, `lib/` for libraries) to improve build output structure and Windows shared library compatibility. + +#### Removed + - Removed the `secp256k1_scratch_space` struct and its associated functions `secp256k1_scratch_space_create` and `secp256k1_scratch_space_destroy` because the scratch space was unused in the API. + +#### ABI Compatibility +The symbols `secp256k1_scratch_space_create` and `secp256k1_scratch_space_destroy` were removed. +Otherwise, the library maintains backward compatibility with versions 0.3.x through 0.5.x. + +## [0.5.1] - 2024-08-01 + +#### Added + - Added usage example for an ElligatorSwift key exchange. + +#### Changed + - The default size of the precomputed table for signing was changed from 22 KiB to 86 KiB. The size can be changed with the configure option `--ecmult-gen-kb` (`SECP256K1_ECMULT_GEN_KB` for CMake). + - "auto" is no longer an accepted value for the `--with-ecmult-window` and `--with-ecmult-gen-kb` configure options (this also applies to `SECP256K1_ECMULT_WINDOW_SIZE` and `SECP256K1_ECMULT_GEN_KB` in CMake). To achieve the same configuration as previously provided by the "auto" value, omit setting the configure option explicitly. + +#### Fixed + - Fixed compilation when the extrakeys module is disabled. + +#### ABI Compatibility +The ABI is backward compatible with versions 0.5.0, 0.4.x and 0.3.x. + +## [0.5.0] - 2024-05-06 + +#### Added + - New function `secp256k1_ec_pubkey_sort` that sorts public keys using lexicographic (of compressed serialization) order. + +#### Changed + - The implementation of the point multiplication algorithm used for signing and public key generation was changed, resulting in improved performance for those operations. + - The related configure option `--ecmult-gen-precision` was replaced with `--ecmult-gen-kb` (`SECP256K1_ECMULT_GEN_KB` for CMake). + - This changes the supported precomputed table sizes for these operations. The new supported sizes are 2 KiB, 22 KiB, or 86 KiB (while the old supported sizes were 32 KiB, 64 KiB, or 512 KiB). + +#### ABI Compatibility +The ABI is backward compatible with versions 0.4.x and 0.3.x. + +## [0.4.1] - 2023-12-21 + +#### Changed + - The point multiplication algorithm used for ECDH operations (module `ecdh`) was replaced with a slightly faster one. + - Optional handwritten x86_64 assembly for field operations was removed because modern C compilers are able to output more efficient assembly. This change results in a significant speedup of some library functions when handwritten x86_64 assembly is enabled (`--with-asm=x86_64` in GNU Autotools, `-DSECP256K1_ASM=x86_64` in CMake), which is the default on x86_64. Benchmarks with GCC 10.5.0 show a 10% speedup for `secp256k1_ecdsa_verify` and `secp256k1_schnorrsig_verify`. + +#### ABI Compatibility +The ABI is backward compatible with versions 0.4.0 and 0.3.x. + +## [0.4.0] - 2023-09-04 + +#### Added + - New module `ellswift` implements ElligatorSwift encoding for public keys and x-only Diffie-Hellman key exchange for them. + ElligatorSwift permits representing secp256k1 public keys as 64-byte arrays which cannot be distinguished from uniformly random. See: + - Header file `include/secp256k1_ellswift.h` which defines the new API. + - Document `doc/ellswift.md` which explains the mathematical background of the scheme. + - The [paper](https://eprint.iacr.org/2022/759) on which the scheme is based. + - We now test the library with unreleased development snapshots of GCC and Clang. This gives us an early chance to catch miscompilations and constant-time issues introduced by the compiler (such as those that led to the previous two releases). + +#### Fixed + - Fixed symbol visibility in Windows DLL builds, where three internal library symbols were wrongly exported. + +#### Changed + - When consuming libsecp256k1 as a static library on Windows, the user must now define the `SECP256K1_STATIC` macro before including `secp256k1.h`. + +#### ABI Compatibility +This release is backward compatible with the ABI of 0.3.0, 0.3.1, and 0.3.2. Symbol visibility is now believed to be handled properly on supported platforms and is now considered to be part of the ABI. Please report any improperly exported symbols as a bug. + +## [0.3.2] - 2023-05-13 +We strongly recommend updating to 0.3.2 if you use or plan to use GCC >=13 to compile libsecp256k1. When in doubt, check the GCC version using `gcc -v`. + +#### Security + - Module `ecdh`: Fix "constant-timeness" issue with GCC 13.1 (and potentially future versions of GCC) that could leave applications using libsecp256k1's ECDH module vulnerable to a timing side-channel attack. The fix avoids secret-dependent control flow during ECDH computations when libsecp256k1 is compiled with GCC 13.1. + +#### Fixed + - Fixed an old bug that permitted compilers to potentially output bad assembly code on x86_64. In theory, it could lead to a crash or a read of unrelated memory, but this has never been observed on any compilers so far. + +#### Changed + - Various improvements and changes to CMake builds. CMake builds remain experimental. + - Made API versioning consistent with GNU Autotools builds. + - Switched to `BUILD_SHARED_LIBS` variable for controlling whether to build a static or a shared library. + - Added `SECP256K1_INSTALL` variable for the controlling whether to install the build artefacts. + - Renamed asm build option `arm` to `arm32`. Use `--with-asm=arm32` instead of `--with-asm=arm` (GNU Autotools), and `-DSECP256K1_ASM=arm32` instead of `-DSECP256K1_ASM=arm` (CMake). + +#### ABI Compatibility +The ABI is compatible with versions 0.3.0 and 0.3.1. + +## [0.3.1] - 2023-04-10 +We strongly recommend updating to 0.3.1 if you use or plan to use Clang >=14 to compile libsecp256k1, e.g., Xcode >=14 on macOS has Clang >=14. When in doubt, check the Clang version using `clang -v`. + +#### Security + - Fix "constant-timeness" issue with Clang >=14 that could leave applications using libsecp256k1 vulnerable to a timing side-channel attack. The fix avoids secret-dependent control flow and secret-dependent memory accesses in conditional moves of memory objects when libsecp256k1 is compiled with Clang >=14. + +#### Added + - Added tests against [Project Wycheproof's](https://github.com/C2SP/wycheproof/) set of ECDSA test vectors (Bitcoin "low-S" variant), a fixed set of test cases designed to trigger various edge cases. + +#### Changed + - Increased minimum required CMake version to 3.13. CMake builds remain experimental. + +#### ABI Compatibility +The ABI is compatible with version 0.3.0. + ## [0.3.0] - 2023-03-08 #### Added @@ -25,7 +159,6 @@ and this project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0 - Removed the configuration header `src/libsecp256k1-config.h`. We recommend passing flags to `./configure` or `cmake` to set configuration options (see `./configure --help` or `cmake -LH`). If you cannot or do not want to use one of the supported build systems, pass configuration flags such as `-DSECP256K1_ENABLE_MODULE_SCHNORRSIG` manually to the compiler (see the file `configure.ac` for supported flags). #### ABI Compatibility - Due to changes in the API regarding `secp256k1_context_static` described above, the ABI is *not* compatible with previous versions. ## [0.2.0] - 2022-12-12 @@ -45,7 +178,6 @@ Due to changes in the API regarding `secp256k1_context_static` described above, - Module `schnorrsig`: renamed `secp256k1_schnorrsig_sign` to `secp256k1_schnorrsig_sign32`. #### ABI Compatibility - Since this is the first release, we do not compare application binary interfaces. However, there are earlier unreleased versions of libsecp256k1 that are *not* ABI compatible with this version. @@ -55,7 +187,15 @@ This version was in fact never released. The number was given by the build system since the introduction of autotools in Jan 2014 (ea0fe5a5bf0c04f9cc955b2966b614f5f378c6f6). Therefore, this version number does not uniquely identify a set of source files. -[unreleased]: https://github.com/bitcoin-core/secp256k1/compare/v0.3.0...HEAD +[unreleased]: https://github.com/bitcoin-core/secp256k1/compare/v0.7.0...HEAD +[0.7.0]: https://github.com/bitcoin-core/secp256k1/compare/v0.6.0...v0.7.0 +[0.6.0]: https://github.com/bitcoin-core/secp256k1/compare/v0.5.1...v0.6.0 +[0.5.1]: https://github.com/bitcoin-core/secp256k1/compare/v0.5.0...v0.5.1 +[0.5.0]: https://github.com/bitcoin-core/secp256k1/compare/v0.4.1...v0.5.0 +[0.4.1]: https://github.com/bitcoin-core/secp256k1/compare/v0.4.0...v0.4.1 +[0.4.0]: https://github.com/bitcoin-core/secp256k1/compare/v0.3.2...v0.4.0 +[0.3.2]: https://github.com/bitcoin-core/secp256k1/compare/v0.3.1...v0.3.2 +[0.3.1]: https://github.com/bitcoin-core/secp256k1/compare/v0.3.0...v0.3.1 [0.3.0]: https://github.com/bitcoin-core/secp256k1/compare/v0.2.0...v0.3.0 [0.2.0]: https://github.com/bitcoin-core/secp256k1/compare/423b6d19d373f1224fd671a982584d7e7900bc93..v0.2.0 [0.1.0]: https://github.com/bitcoin-core/secp256k1/commit/423b6d19d373f1224fd671a982584d7e7900bc93 diff --git a/CMakeLists.txt b/CMakeLists.txt index ddc6c7e6d4..11dc3f6e53 100644 --- a/CMakeLists.txt +++ b/CMakeLists.txt @@ -1,112 +1,121 @@ -cmake_minimum_required(VERSION 3.1) +cmake_minimum_required(VERSION 3.22) -if(CMAKE_VERSION VERSION_GREATER 3.14) - # MSVC runtime library flags are selected by the CMAKE_MSVC_RUNTIME_LIBRARY abstraction. - cmake_policy(SET CMP0091 NEW) - # MSVC warning flags are not in CMAKE__FLAGS by default. - cmake_policy(SET CMP0092 NEW) -endif() - -# The package (a.k.a. release) version is based on semantic versioning 2.0.0 of -# the API. All changes in experimental modules are treated as -# backwards-compatible and therefore at most increase the minor version. -project(libsecp256k1 VERSION 0.3.1 LANGUAGES C) +#============================= +# Project / Package metadata +#============================= +project(libsecp256k1 + # The package (a.k.a. release) version is based on semantic versioning 2.0.0 of + # the API. All changes in experimental modules are treated as + # backwards-compatible and therefore at most increase the minor version. + VERSION 0.7.1 + DESCRIPTION "Optimized C library for ECDSA signatures and secret/public key operations on curve secp256k1." + HOMEPAGE_URL "https://github.com/bitcoin-core/secp256k1" + LANGUAGES C +) +enable_testing() +include(CTestUseLaunchers) # Allow users to set CTEST_USE_LAUNCHERS in custom `ctest -S` scripts. +list(APPEND CMAKE_MODULE_PATH ${PROJECT_SOURCE_DIR}/cmake) # The library version is based on libtool versioning of the ABI. The set of # rules for updating the version can be found here: # https://www.gnu.org/software/libtool/manual/html_node/Updating-version-info.html # All changes in experimental modules are treated as if they don't affect the # interface and therefore only increase the revision. -set(${PROJECT_NAME}_LIB_VERSION_CURRENT 2) +set(${PROJECT_NAME}_LIB_VERSION_CURRENT 6) set(${PROJECT_NAME}_LIB_VERSION_REVISION 1) set(${PROJECT_NAME}_LIB_VERSION_AGE 0) +#============================= +# Language setup +#============================= set(CMAKE_C_STANDARD 90) set(CMAKE_C_EXTENSIONS OFF) -list(APPEND CMAKE_MODULE_PATH ${PROJECT_SOURCE_DIR}/cmake) - -# We do not use CMake's BUILD_SHARED_LIBS option. -option(SECP256K1_BUILD_SHARED "Build shared library." ON) -option(SECP256K1_BUILD_STATIC "Build static library." ON) -if(NOT SECP256K1_BUILD_SHARED AND NOT SECP256K1_BUILD_STATIC) - message(FATAL_ERROR "At least one of SECP256K1_BUILD_SHARED and SECP256K1_BUILD_STATIC must be enabled.") +#============================= +# Configurable options +#============================= +if(libsecp256k1_IS_TOP_LEVEL) + option(BUILD_SHARED_LIBS "Build shared libraries." ON) endif() -option(SECP256K1_ENABLE_MODULE_ECDH "Enable ECDH module." ON) -if(SECP256K1_ENABLE_MODULE_ECDH) - add_definitions(-DENABLE_MODULE_ECDH=1) -endif() +option(SECP256K1_INSTALL "Enable installation." ${PROJECT_IS_TOP_LEVEL}) -option(SECP256K1_ENABLE_MODULE_RECOVERY "Enable ECDSA pubkey recovery module." OFF) -if(SECP256K1_ENABLE_MODULE_RECOVERY) - add_definitions(-DENABLE_MODULE_RECOVERY=1) -endif() +option(SECP256K1_ENABLE_API_VISIBILITY_ATTRIBUTES "Enable visibility attributes in the API." ON) +## Modules + +# We declare all options before processing them, to make sure we can express +# dependencies while processing. +option(SECP256K1_ENABLE_MODULE_ECDH "Enable ECDH module." ON) +option(SECP256K1_ENABLE_MODULE_RECOVERY "Enable ECDSA pubkey recovery module." OFF) option(SECP256K1_ENABLE_MODULE_EXTRAKEYS "Enable extrakeys module." ON) option(SECP256K1_ENABLE_MODULE_SCHNORRSIG "Enable schnorrsig module." ON) -if(SECP256K1_ENABLE_MODULE_SCHNORRSIG) - set(SECP256K1_ENABLE_MODULE_EXTRAKEYS ON) - add_definitions(-DENABLE_MODULE_SCHNORRSIG=1) -endif() -if(SECP256K1_ENABLE_MODULE_EXTRAKEYS) - add_definitions(-DENABLE_MODULE_EXTRAKEYS=1) -endif() +option(SECP256K1_ENABLE_MODULE_MUSIG "Enable musig module." ON) +option(SECP256K1_ENABLE_MODULE_ELLSWIFT "Enable ElligatorSwift module." ON) option(SECP256K1_USE_EXTERNAL_DEFAULT_CALLBACKS "Enable external default callback functions." OFF) if(SECP256K1_USE_EXTERNAL_DEFAULT_CALLBACKS) - add_definitions(-DUSE_EXTERNAL_DEFAULT_CALLBACKS=1) + add_compile_definitions(USE_EXTERNAL_DEFAULT_CALLBACKS=1) endif() -set(SECP256K1_ECMULT_WINDOW_SIZE "AUTO" CACHE STRING "Window size for ecmult precomputation for verification, specified as integer in range [2..24]. \"AUTO\" is a reasonable setting for desktop machines (currently 15). [default=AUTO]") -set_property(CACHE SECP256K1_ECMULT_WINDOW_SIZE PROPERTY STRINGS "AUTO" 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24) +set(SECP256K1_ECMULT_WINDOW_SIZE 15 CACHE STRING "Window size for ecmult precomputation for verification, specified as integer in range [2..24]. The default value is a reasonable setting for desktop machines (currently 15). [default=15]") +set_property(CACHE SECP256K1_ECMULT_WINDOW_SIZE PROPERTY STRINGS 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24) include(CheckStringOptionValue) check_string_option_value(SECP256K1_ECMULT_WINDOW_SIZE) -if(SECP256K1_ECMULT_WINDOW_SIZE STREQUAL "AUTO") - set(SECP256K1_ECMULT_WINDOW_SIZE 15) -endif() -add_definitions(-DECMULT_WINDOW_SIZE=${SECP256K1_ECMULT_WINDOW_SIZE}) +add_compile_definitions(ECMULT_WINDOW_SIZE=${SECP256K1_ECMULT_WINDOW_SIZE}) -set(SECP256K1_ECMULT_GEN_PREC_BITS "AUTO" CACHE STRING "Precision bits to tune the precomputed table size for signing, specified as integer 2, 4 or 8. \"AUTO\" is a reasonable setting for desktop machines (currently 4). [default=AUTO]") -set_property(CACHE SECP256K1_ECMULT_GEN_PREC_BITS PROPERTY STRINGS "AUTO" 2 4 8) -check_string_option_value(SECP256K1_ECMULT_GEN_PREC_BITS) -if(SECP256K1_ECMULT_GEN_PREC_BITS STREQUAL "AUTO") - set(SECP256K1_ECMULT_GEN_PREC_BITS 4) +set(SECP256K1_ECMULT_GEN_KB 86 CACHE STRING "The size of the precomputed table for signing in multiples of 1024 bytes (on typical platforms). Larger values result in possibly better signing or key generation performance at the cost of a larger table. Valid choices are 2, 22, 86. The default value is a reasonable setting for desktop machines (currently 86). [default=86]") +set_property(CACHE SECP256K1_ECMULT_GEN_KB PROPERTY STRINGS 2 22 86) +check_string_option_value(SECP256K1_ECMULT_GEN_KB) +if(SECP256K1_ECMULT_GEN_KB EQUAL 2) + add_compile_definitions(COMB_BLOCKS=2) + add_compile_definitions(COMB_TEETH=5) +elseif(SECP256K1_ECMULT_GEN_KB EQUAL 22) + add_compile_definitions(COMB_BLOCKS=11) + add_compile_definitions(COMB_TEETH=6) +elseif(SECP256K1_ECMULT_GEN_KB EQUAL 86) + add_compile_definitions(COMB_BLOCKS=43) + add_compile_definitions(COMB_TEETH=6) endif() -add_definitions(-DECMULT_GEN_PREC_BITS=${SECP256K1_ECMULT_GEN_PREC_BITS}) set(SECP256K1_TEST_OVERRIDE_WIDE_MULTIPLY "OFF" CACHE STRING "Test-only override of the (autodetected by the C code) \"widemul\" setting. Legal values are: \"OFF\", \"int128_struct\", \"int128\" or \"int64\". [default=OFF]") set_property(CACHE SECP256K1_TEST_OVERRIDE_WIDE_MULTIPLY PROPERTY STRINGS "OFF" "int128_struct" "int128" "int64") check_string_option_value(SECP256K1_TEST_OVERRIDE_WIDE_MULTIPLY) if(SECP256K1_TEST_OVERRIDE_WIDE_MULTIPLY) string(TOUPPER "${SECP256K1_TEST_OVERRIDE_WIDE_MULTIPLY}" widemul_upper_value) - add_definitions(-DUSE_FORCE_WIDEMUL_${widemul_upper_value}=1) + add_compile_definitions(USE_FORCE_WIDEMUL_${widemul_upper_value}=1) endif() mark_as_advanced(FORCE SECP256K1_TEST_OVERRIDE_WIDE_MULTIPLY) -set(SECP256K1_ASM "AUTO" CACHE STRING "Assembly optimizations to use: \"AUTO\", \"OFF\", \"x86_64\" or \"arm\" (experimental). [default=AUTO]") -set_property(CACHE SECP256K1_ASM PROPERTY STRINGS "AUTO" "OFF" "x86_64" "arm") +set(SECP256K1_ASM "AUTO" CACHE STRING "Assembly to use: \"AUTO\", \"OFF\", \"x86_64\" or \"arm32\" (experimental). [default=AUTO]") +set_property(CACHE SECP256K1_ASM PROPERTY STRINGS "AUTO" "OFF" "x86_64" "arm32") check_string_option_value(SECP256K1_ASM) -if(SECP256K1_ASM STREQUAL "arm") +if(SECP256K1_ASM STREQUAL "arm32") enable_language(ASM) - add_definitions(-DUSE_EXTERNAL_ASM=1) + include(CheckArm32Assembly) + check_arm32_assembly() + if(HAVE_ARM32_ASM) + add_compile_definitions(USE_EXTERNAL_ASM=1) + else() + message(FATAL_ERROR "ARM32 assembly requested but not available.") + endif() elseif(SECP256K1_ASM) - include(Check64bitAssembly) - check_64bit_assembly() - if(HAS_64BIT_ASM) + include(CheckX86_64Assembly) + check_x86_64_assembly() + if(HAVE_X86_64_ASM) set(SECP256K1_ASM "x86_64") - add_definitions(-DUSE_ASM_X86_64=1) + add_compile_definitions(USE_ASM_X86_64=1) elseif(SECP256K1_ASM STREQUAL "AUTO") set(SECP256K1_ASM "OFF") else() - message(FATAL_ERROR "x86_64 assembly optimization requested but not available.") + message(FATAL_ERROR "x86_64 assembly requested but not available.") endif() endif() option(SECP256K1_EXPERIMENTAL "Allow experimental configuration options." OFF) if(NOT SECP256K1_EXPERIMENTAL) - if(SECP256K1_ASM STREQUAL "arm") - message(FATAL_ERROR "ARM assembly optimization is experimental. Use -DSECP256K1_EXPERIMENTAL=ON to allow.") + if(SECP256K1_ASM STREQUAL "arm32") + message(FATAL_ERROR "ARM32 assembly is experimental. Use -DSECP256K1_EXPERIMENTAL=ON to allow.") endif() endif() @@ -118,7 +127,7 @@ if(SECP256K1_VALGRIND) if(Valgrind_FOUND) set(SECP256K1_VALGRIND ON) include_directories(${Valgrind_INCLUDE_DIR}) - add_definitions(-DVALGRIND) + add_compile_definitions(VALGRIND) elseif(SECP256K1_VALGRIND STREQUAL "AUTO") set(SECP256K1_VALGRIND OFF) else() @@ -143,11 +152,11 @@ else() string(REGEX REPLACE "-DNDEBUG[ \t\r\n]*" "" CMAKE_C_FLAGS_RELEASE "${CMAKE_C_FLAGS_RELEASE}") string(REGEX REPLACE "-DNDEBUG[ \t\r\n]*" "" CMAKE_C_FLAGS_MINSIZEREL "${CMAKE_C_FLAGS_MINSIZEREL}") # Prefer -O2 optimization level. (-O3 is CMake's default for Release for many compilers.) - string(REGEX REPLACE "-O3[ \t\r\n]*" "-O2" CMAKE_C_FLAGS_RELEASE "${CMAKE_C_FLAGS_RELEASE}") + string(REGEX REPLACE "-O3( |$)" "-O2\\1" CMAKE_C_FLAGS_RELEASE "${CMAKE_C_FLAGS_RELEASE}") endif() # Define custom "Coverage" build type. -set(CMAKE_C_FLAGS_COVERAGE "${CMAKE_C_FLAGS_RELWITHDEBINFO} -O0 -DCOVERAGE=1 --coverage -Wno-unused-parameter" CACHE STRING +set(CMAKE_C_FLAGS_COVERAGE "${CMAKE_C_FLAGS_RELWITHDEBINFO} -O0 -DCOVERAGE=1 --coverage" CACHE STRING "Flags used by the C compiler during \"Coverage\" builds." FORCE ) @@ -165,62 +174,94 @@ mark_as_advanced( CMAKE_SHARED_LINKER_FLAGS_COVERAGE ) -if(CMAKE_CONFIGURATION_TYPES) - set(CMAKE_CONFIGURATION_TYPES "RelWithDebInfo" "Release" "Debug" "MinSizeRel" "Coverage") +if(PROJECT_IS_TOP_LEVEL) + get_property(is_multi_config GLOBAL PROPERTY GENERATOR_IS_MULTI_CONFIG) + set(default_build_type "RelWithDebInfo") + if(is_multi_config) + set(CMAKE_CONFIGURATION_TYPES "${default_build_type}" "Release" "Debug" "MinSizeRel" "Coverage" CACHE STRING + "Supported configuration types." + FORCE + ) + else() + set_property(CACHE CMAKE_BUILD_TYPE PROPERTY + STRINGS "${default_build_type}" "Release" "Debug" "MinSizeRel" "Coverage" + ) + if(NOT CMAKE_BUILD_TYPE) + message(STATUS "Setting build type to \"${default_build_type}\" as none was specified") + set(CMAKE_BUILD_TYPE "${default_build_type}" CACHE STRING + "Choose the type of build." + FORCE + ) + endif() + endif() endif() -get_property(cached_cmake_build_type CACHE CMAKE_BUILD_TYPE PROPERTY TYPE) -if(cached_cmake_build_type) - set_property(CACHE CMAKE_BUILD_TYPE PROPERTY - STRINGS "RelWithDebInfo" "Release" "Debug" "MinSizeRel" "Coverage" - ) +include(TryAppendCFlags) +if(MSVC) + # For both cl and clang-cl compilers. + try_append_c_flags(/W3) # Production quality warning level. + # Eliminate deprecation warnings for the older, less secure functions. + add_compile_definitions(_CRT_SECURE_NO_WARNINGS) +else() + try_append_c_flags(-Wall) # GCC >= 2.95 and probably many other compilers. +endif() +if(CMAKE_C_COMPILER_ID STREQUAL "MSVC") + # Keep the following commands ordered lexicographically. + try_append_c_flags(/wd4146) # Disable warning C4146 "unary minus operator applied to unsigned type, result still unsigned". + try_append_c_flags(/wd4244) # Disable warning C4244 "'conversion' conversion from 'type1' to 'type2', possible loss of data". + try_append_c_flags(/wd4267) # Disable warning C4267 "'var' : conversion from 'size_t' to 'type', possible loss of data". +else() + # Keep the following commands ordered lexicographically. + try_append_c_flags(-pedantic) + try_append_c_flags(-Wcast-align) # GCC >= 2.95. + try_append_c_flags(-Wcast-align=strict) # GCC >= 8.0. + try_append_c_flags(-Wconditional-uninitialized) # Clang >= 3.0 only. + try_append_c_flags(-Wextra) # GCC >= 3.4, this is the newer name of -W, which we don't use because older GCCs will warn about unused functions. + try_append_c_flags(-Wnested-externs) + try_append_c_flags(-Wno-long-long) # GCC >= 3.0, -Wlong-long is implied by -pedantic. + try_append_c_flags(-Wno-overlength-strings) # GCC >= 4.2, -Woverlength-strings is implied by -pedantic. + try_append_c_flags(-Wno-unused-function) # GCC >= 3.0, -Wunused-function is implied by -Wall. + try_append_c_flags(-Wreserved-identifier) # Clang >= 13.0 only. + try_append_c_flags(-Wshadow) + try_append_c_flags(-Wstrict-prototypes) + try_append_c_flags(-Wundef) endif() -set(default_build_type "RelWithDebInfo") -if(NOT CMAKE_BUILD_TYPE AND NOT CMAKE_CONFIGURATION_TYPES) - message(STATUS "Setting build type to \"${default_build_type}\" as none was specified") - set(CMAKE_BUILD_TYPE "${default_build_type}" CACHE STRING "Choose the type of build." FORCE) +set(print_msan_notice) +if(SECP256K1_BUILD_CTIME_TESTS) + include(CheckMemorySanitizer) + check_memory_sanitizer(msan_enabled) + if(msan_enabled) + try_append_c_flags(-fno-sanitize-memory-param-retval) + set(print_msan_notice YES) + endif() + unset(msan_enabled) endif() -include(TryAddCompileOption) -if(MSVC) - try_add_compile_option(/W2) - try_add_compile_option(/wd4146) -else() - try_add_compile_option(-pedantic) - try_add_compile_option(-Wall) - try_add_compile_option(-Wcast-align) - try_add_compile_option(-Wcast-align=strict) - try_add_compile_option(-Wconditional-uninitialized) - try_add_compile_option(-Wextra) - try_add_compile_option(-Wnested-externs) - try_add_compile_option(-Wno-long-long) - try_add_compile_option(-Wno-overlength-strings) - try_add_compile_option(-Wno-unused-function) - try_add_compile_option(-Wreserved-identifier) - try_add_compile_option(-Wshadow) - try_add_compile_option(-Wstrict-prototypes) - try_add_compile_option(-Wundef) +set(SECP256K1_APPEND_CFLAGS "" CACHE STRING "Compiler flags that are appended to the command line after all other flags added by the build system. This variable is intended for debugging and special builds.") +if(SECP256K1_APPEND_CFLAGS) + # Appending to this low-level rule variable is the only way to + # guarantee that the flags appear at the end of the command line. + string(APPEND CMAKE_C_COMPILE_OBJECT " ${SECP256K1_APPEND_CFLAGS}") endif() -if(CMAKE_VERSION VERSION_GREATER 3.2) - # Honor visibility properties for all target types. - # See: https://cmake.org/cmake/help/latest/policy/CMP0063.html - cmake_policy(SET CMP0063 NEW) +set(SECP256K1_APPEND_LDFLAGS "" CACHE STRING "Linker flags that are appended to the command line after all other flags added by the build system. This variable is intended for debugging and special builds.") +if(SECP256K1_APPEND_LDFLAGS) + # Appending to this low-level rule variable is the only way to + # guarantee that the flags appear at the end of the command line. + string(APPEND CMAKE_C_CREATE_SHARED_LIBRARY " ${SECP256K1_APPEND_LDFLAGS}") + string(APPEND CMAKE_C_LINK_EXECUTABLE " ${SECP256K1_APPEND_LDFLAGS}") endif() -set(CMAKE_C_VISIBILITY_PRESET hidden) -# Ask CTest to create a "check" target (e.g., make check) as alias for the "test" target. -# CTEST_TEST_TARGET_ALIAS is not documented but supposed to be user-facing. -# See: https://gitlab.kitware.com/cmake/cmake/-/commit/816c9d1aa1f2b42d40c81a991b68c96eb12b6d2 -set(CTEST_TEST_TARGET_ALIAS check) -include(CTest) -# We do not use CTest's BUILD_TESTING because a single toggle for all tests is too coarse for our needs. -mark_as_advanced(BUILD_TESTING) -if(SECP256K1_BUILD_BENCHMARK OR SECP256K1_BUILD_TESTS OR SECP256K1_BUILD_EXHAUSTIVE_TESTS OR SECP256K1_BUILD_CTIME_TESTS OR SECP256K1_BUILD_EXAMPLES) - enable_testing() +if(NOT CMAKE_RUNTIME_OUTPUT_DIRECTORY) + set(CMAKE_RUNTIME_OUTPUT_DIRECTORY ${PROJECT_BINARY_DIR}/bin) +endif() +if(NOT CMAKE_LIBRARY_OUTPUT_DIRECTORY) + set(CMAKE_LIBRARY_OUTPUT_DIRECTORY ${PROJECT_BINARY_DIR}/lib) +endif() +if(NOT CMAKE_ARCHIVE_OUTPUT_DIRECTORY) + set(CMAKE_ARCHIVE_OUTPUT_DIRECTORY ${PROJECT_BINARY_DIR}/lib) endif() - add_subdirectory(src) if(SECP256K1_BUILD_EXAMPLES) add_subdirectory(examples) @@ -230,18 +271,25 @@ message("\n") message("secp256k1 configure summary") message("===========================") message("Build artifacts:") -message(" shared library ...................... ${SECP256K1_BUILD_SHARED}") -message(" static library ...................... ${SECP256K1_BUILD_STATIC}") +if(BUILD_SHARED_LIBS) + set(library_type "Shared") +else() + set(library_type "Static") +endif() + +message(" library type ........................ ${library_type}") message("Optional modules:") message(" ECDH ................................ ${SECP256K1_ENABLE_MODULE_ECDH}") message(" ECDSA pubkey recovery ............... ${SECP256K1_ENABLE_MODULE_RECOVERY}") message(" extrakeys ........................... ${SECP256K1_ENABLE_MODULE_EXTRAKEYS}") message(" schnorrsig .......................... ${SECP256K1_ENABLE_MODULE_SCHNORRSIG}") +message(" musig ............................... ${SECP256K1_ENABLE_MODULE_MUSIG}") +message(" ElligatorSwift ...................... ${SECP256K1_ENABLE_MODULE_ELLSWIFT}") message("Parameters:") message(" ecmult window size .................. ${SECP256K1_ECMULT_WINDOW_SIZE}") -message(" ecmult gen precision bits ........... ${SECP256K1_ECMULT_GEN_PREC_BITS}") +message(" ecmult gen table size ............... ${SECP256K1_ECMULT_GEN_KB} KiB") message("Optional features:") -message(" assembly optimization ............... ${SECP256K1_ASM}") +message(" assembly ............................ ${SECP256K1_ASM}") message(" external callbacks .................. ${SECP256K1_USE_EXTERNAL_DEFAULT_CALLBACKS}") if(SECP256K1_TEST_OVERRIDE_WIDE_MULTIPLY) message(" wide multiplication (test-only) ..... ${SECP256K1_TEST_OVERRIDE_WIDE_MULTIPLY}") @@ -264,16 +312,17 @@ else() set(cross_status "FALSE") endif() message("Cross compiling ....................... ${cross_status}") +message("API visibility attributes ............. ${SECP256K1_ENABLE_API_VISIBILITY_ATTRIBUTES}") message("Valgrind .............................. ${SECP256K1_VALGRIND}") get_directory_property(definitions COMPILE_DEFINITIONS) string(REPLACE ";" " " definitions "${definitions}") message("Preprocessor defined macros ........... ${definitions}") -message("C compiler ............................ ${CMAKE_C_COMPILER}") +message("C compiler ............................ ${CMAKE_C_COMPILER_ID} ${CMAKE_C_COMPILER_VERSION}, ${CMAKE_C_COMPILER}") message("CFLAGS ................................ ${CMAKE_C_FLAGS}") get_directory_property(compile_options COMPILE_OPTIONS) string(REPLACE ";" " " compile_options "${compile_options}") message("Compile options ....................... " ${compile_options}) -if(DEFINED CMAKE_BUILD_TYPE) +if(NOT is_multi_config) message("Build type:") message(" - CMAKE_BUILD_TYPE ................... ${CMAKE_BUILD_TYPE}") string(TOUPPER "${CMAKE_BUILD_TYPE}" build_type) @@ -281,7 +330,7 @@ if(DEFINED CMAKE_BUILD_TYPE) message(" - LDFLAGS for executables ............ ${CMAKE_EXE_LINKER_FLAGS_${build_type}}") message(" - LDFLAGS for shared libraries ....... ${CMAKE_SHARED_LINKER_FLAGS_${build_type}}") else() - message("Available configurations .............. ${CMAKE_CONFIGURATION_TYPES}") + message("Supported configurations .............. ${CMAKE_CONFIGURATION_TYPES}") message("RelWithDebInfo configuration:") message(" - CFLAGS ............................. ${CMAKE_C_FLAGS_RELWITHDEBINFO}") message(" - LDFLAGS for executables ............ ${CMAKE_EXE_LINKER_FLAGS_RELWITHDEBINFO}") @@ -291,7 +340,20 @@ else() message(" - LDFLAGS for executables ............ ${CMAKE_EXE_LINKER_FLAGS_DEBUG}") message(" - LDFLAGS for shared libraries ....... ${CMAKE_SHARED_LINKER_FLAGS_DEBUG}") endif() -message("\n") +if(SECP256K1_APPEND_CFLAGS) + message("SECP256K1_APPEND_CFLAGS ............... ${SECP256K1_APPEND_CFLAGS}") +endif() +if(SECP256K1_APPEND_LDFLAGS) + message("SECP256K1_APPEND_LDFLAGS .............. ${SECP256K1_APPEND_LDFLAGS}") +endif() +message("") +if(print_msan_notice) + message( + "Note:\n" + " MemorySanitizer detected, tried to add -fno-sanitize-memory-param-retval to compile options\n" + " to avoid false positives in ctime_tests. Pass -DSECP256K1_BUILD_CTIME_TESTS=OFF to avoid this.\n" + ) +endif() if(SECP256K1_EXPERIMENTAL) message( " ******\n" diff --git a/CMakePresets.json b/CMakePresets.json new file mode 100644 index 0000000000..6ed52b8fa6 --- /dev/null +++ b/CMakePresets.json @@ -0,0 +1,18 @@ +{ + "version": 3, + "configurePresets": [ + { + "name": "dev-mode", + "displayName": "Development mode (intended only for developers of the library)", + "cacheVariables": { + "SECP256K1_EXPERIMENTAL": "ON", + "SECP256K1_ENABLE_MODULE_RECOVERY": "ON", + "SECP256K1_BUILD_EXAMPLES": "ON" + }, + "warnings": { + "dev": true, + "uninitialized": true + } + } + ] +} diff --git a/CONTRIBUTING.md b/CONTRIBUTING.md new file mode 100644 index 0000000000..f00110862d --- /dev/null +++ b/CONTRIBUTING.md @@ -0,0 +1,111 @@ +# Contributing to libsecp256k1 + +## Scope + +libsecp256k1 is a library for elliptic curve cryptography on the curve secp256k1, not a general-purpose cryptography library. +The library primarily serves the needs of the Bitcoin Core project but provides additional functionality for the benefit of the wider Bitcoin ecosystem. + +## Adding new functionality or modules + +The libsecp256k1 project welcomes contributions in the form of new functionality or modules, provided they are within the project's scope. + +It is the responsibility of the contributors to convince the maintainers that the proposed functionality is within the project's scope, high-quality and maintainable. +Contributors are recommended to provide the following in addition to the new code: + +* **Specification:** + A specification can help significantly in reviewing the new code as it provides documentation and context. + It may justify various design decisions, give a motivation and outline security goals. + If the specification contains pseudocode, a reference implementation or test vectors, these can be used to compare with the proposed libsecp256k1 code. +* **Security Arguments:** + In addition to a defining the security goals, it should be argued that the new functionality meets these goals. + Depending on the nature of the new functionality, a wide range of security arguments are acceptable, ranging from being "obviously secure" to rigorous proofs of security. +* **Relevance Arguments:** + The relevance of the new functionality for the Bitcoin ecosystem should be argued by outlining clear use cases. + +These are not the only factors taken into account when considering to add new functionality. +The proposed new libsecp256k1 code must be of high quality, including API documentation and tests, as well as featuring a misuse-resistant API design. + +We recommend reaching out to other contributors (see [Communication Channels](#communication-channels)) and get feedback before implementing new functionality. + +## Communication channels + +Most communication about libsecp256k1 occurs on the GitHub repository: in issues, pull request or on the discussion board. + +Additionally, there is an IRC channel dedicated to libsecp256k1, with biweekly meetings (see channel topic). +The channel is `#secp256k1` on Libera Chat. +The easiest way to participate on IRC is with the web client, [web.libera.chat](https://web.libera.chat/#secp256k1). +Chat history logs can be found at https://gnusha.org/secp256k1/. + +## Contributor workflow & peer review + +The Contributor Workflow & Peer Review in libsecp256k1 are similar to Bitcoin Core's workflow and review processes described in its [CONTRIBUTING.md](https://github.com/bitcoin/bitcoin/blob/master/CONTRIBUTING.md). + +### Coding conventions + +In addition, libsecp256k1 tries to maintain the following coding conventions: + +* No runtime heap allocation (e.g., no `malloc`) unless explicitly requested by the caller (via `secp256k1_context_create` or `secp256k1_scratch_space_create`, for example). Moreover, it should be possible to use the library without any heap allocations. +* The tests should cover all lines and branches of the library (see [Test coverage](#coverage)). +* Operations involving secret data should be tested for being constant time with respect to the secrets (see [src/ctime_tests.c](src/ctime_tests.c)). +* Local variables containing secret data should be cleared explicitly to try to delete secrets from memory. +* Use `secp256k1_memcmp_var` instead of `memcmp` (see [#823](https://github.com/bitcoin-core/secp256k1/issues/823)). +* As a rule of thumb, the default values for configuration options should target standard desktop machines and align with Bitcoin Core's defaults, and the tests should mostly exercise the default configuration (see [#1549](https://github.com/bitcoin-core/secp256k1/issues/1549#issuecomment-2200559257)). + +#### Style conventions + +* Commits should be atomic and diffs should be easy to read. For this reason, do not mix any formatting fixes or code moves with actual code changes. Make sure each individual commit is hygienic: that it builds successfully on its own without warnings, errors, regressions, or test failures. +* New code should adhere to the style of existing, in particular surrounding, code. Other than that, we do not enforce strict rules for code formatting. +* The code conforms to C89. Most notably, that means that only `/* ... */` comments are allowed (no `//` line comments). Moreover, any declarations in a `{ ... }` block (e.g., a function) must appear at the beginning of the block before any statements. When you would like to declare a variable in the middle of a block, you can open a new block: + ```C + void secp256k_foo(void) { + unsigned int x; /* declaration */ + int y = 2*x; /* declaration */ + x = 17; /* statement */ + { + int a, b; /* declaration */ + a = x + y; /* statement */ + secp256k_bar(x, &b); /* statement */ + } + } + ``` +* Use `unsigned int` instead of just `unsigned`. +* Use `void *ptr` instead of `void* ptr`. +* Arguments of the publicly-facing API must have a specific order defined in [include/secp256k1.h](include/secp256k1.h). +* User-facing comment lines in headers should be limited to 80 chars if possible. +* All identifiers in file scope should start with `secp256k1_`. +* Avoid trailing whitespace. +* Use the constants `EXIT_SUCCESS`/`EXIT_FAILURE` (defined in `stdlib.h`) to indicate program execution status for examples and other binaries. + +### Tests + +#### Coverage + +This library aims to have full coverage of reachable lines and branches. + +To create a test coverage report, configure with `--enable-coverage` (use of GCC is necessary): + + $ ./configure --enable-coverage + +Run the tests: + + $ make check + +To create a report, `gcovr` is recommended, as it includes branch coverage reporting: + + $ gcovr --gcov-ignore-parse-errors=all --merge-mode-functions=separate --exclude 'src/bench*' --exclude 'src/modules/.*/bench_impl.h' --print-summary + +To create a HTML report with coloured and annotated source code: + + $ mkdir -p coverage + $ gcovr --gcov-ignore-parse-errors=all --merge-mode-functions=separate --exclude 'src/bench*' --exclude 'src/modules/.*/bench_impl.h' --html --html-details -o coverage/coverage.html + +On `gcovr` >=8.3, `--gcov-ignore-parse-errors=all` can be replaced with `--gcov-suspicious-hits-threshold=140737488355330`. + +#### Exhaustive tests + +There are tests of several functions in which a small group replaces secp256k1. +These tests are *exhaustive* since they provide all elements and scalars of the small group as input arguments (see [src/tests_exhaustive.c](src/tests_exhaustive.c)). + +### Benchmarks + +See `src/bench*.c` for examples of benchmarks. diff --git a/Makefile.am b/Makefile.am index e3fdf4da27..dc798575e3 100644 --- a/Makefile.am +++ b/Makefile.am @@ -1,5 +1,3 @@ -.PHONY: clean-precomp precomp - ACLOCAL_AMFLAGS = -I build-aux/m4 # AM_CFLAGS will be automatically prepended to CFLAGS by Automake when compiling some foo @@ -39,7 +37,6 @@ noinst_HEADERS += src/field_10x26_impl.h noinst_HEADERS += src/field_5x52.h noinst_HEADERS += src/field_5x52_impl.h noinst_HEADERS += src/field_5x52_int128_impl.h -noinst_HEADERS += src/field_5x52_asm_impl.h noinst_HEADERS += src/modinv32.h noinst_HEADERS += src/modinv32_impl.h noinst_HEADERS += src/modinv64.h @@ -48,7 +45,12 @@ noinst_HEADERS += src/precomputed_ecmult.h noinst_HEADERS += src/precomputed_ecmult_gen.h noinst_HEADERS += src/assumptions.h noinst_HEADERS += src/checkmem.h +noinst_HEADERS += src/tests_common.h +noinst_HEADERS += src/testutil.h +noinst_HEADERS += src/unit_test.h +noinst_HEADERS += src/unit_test.c noinst_HEADERS += src/util.h +noinst_HEADERS += src/util_local_visibility.h noinst_HEADERS += src/int128.h noinst_HEADERS += src/int128_impl.h noinst_HEADERS += src/int128_native.h @@ -65,6 +67,9 @@ noinst_HEADERS += src/hash_impl.h noinst_HEADERS += src/field.h noinst_HEADERS += src/field_impl.h noinst_HEADERS += src/bench.h +noinst_HEADERS += src/wycheproof/ecdsa_secp256k1_sha256_bitcoin_test.h +noinst_HEADERS += src/hsort.h +noinst_HEADERS += src/hsort_impl.h noinst_HEADERS += contrib/lax_der_parsing.h noinst_HEADERS += contrib/lax_der_parsing.c noinst_HEADERS += contrib/lax_der_privatekey_parsing.h @@ -118,7 +123,7 @@ if USE_TESTS TESTS += noverify_tests noinst_PROGRAMS += noverify_tests noverify_tests_SOURCES = src/tests.c -noverify_tests_CPPFLAGS = $(SECP_CONFIG_DEFINES) +noverify_tests_CPPFLAGS = $(SECP_CONFIG_DEFINES) $(TEST_DEFINES) noverify_tests_LDADD = $(COMMON_LIB) $(PRECOMPUTED_LIB) noverify_tests_LDFLAGS = -static if !ENABLE_COVERAGE @@ -154,7 +159,7 @@ endif if USE_EXAMPLES noinst_PROGRAMS += ecdsa_example ecdsa_example_SOURCES = examples/ecdsa.c -ecdsa_example_CPPFLAGS = -I$(top_srcdir)/include +ecdsa_example_CPPFLAGS = -I$(top_srcdir)/include -DSECP256K1_STATIC ecdsa_example_LDADD = libsecp256k1.la ecdsa_example_LDFLAGS = -static if BUILD_WINDOWS @@ -164,7 +169,7 @@ TESTS += ecdsa_example if ENABLE_MODULE_ECDH noinst_PROGRAMS += ecdh_example ecdh_example_SOURCES = examples/ecdh.c -ecdh_example_CPPFLAGS = -I$(top_srcdir)/include +ecdh_example_CPPFLAGS = -I$(top_srcdir)/include -DSECP256K1_STATIC ecdh_example_LDADD = libsecp256k1.la ecdh_example_LDFLAGS = -static if BUILD_WINDOWS @@ -175,7 +180,7 @@ endif if ENABLE_MODULE_SCHNORRSIG noinst_PROGRAMS += schnorr_example schnorr_example_SOURCES = examples/schnorr.c -schnorr_example_CPPFLAGS = -I$(top_srcdir)/include +schnorr_example_CPPFLAGS = -I$(top_srcdir)/include -DSECP256K1_STATIC schnorr_example_LDADD = libsecp256k1.la schnorr_example_LDFLAGS = -static if BUILD_WINDOWS @@ -183,6 +188,28 @@ schnorr_example_LDFLAGS += -lbcrypt endif TESTS += schnorr_example endif +if ENABLE_MODULE_ELLSWIFT +noinst_PROGRAMS += ellswift_example +ellswift_example_SOURCES = examples/ellswift.c +ellswift_example_CPPFLAGS = -I$(top_srcdir)/include -DSECP256K1_STATIC +ellswift_example_LDADD = libsecp256k1.la +ellswift_example_LDFLAGS = -static +if BUILD_WINDOWS +ellswift_example_LDFLAGS += -lbcrypt +endif +TESTS += ellswift_example +endif +if ENABLE_MODULE_MUSIG +noinst_PROGRAMS += musig_example +musig_example_SOURCES = examples/musig.c +musig_example_CPPFLAGS = -I$(top_srcdir)/include -DSECP256K1_STATIC +musig_example_LDADD = libsecp256k1.la +musig_example_LDFLAGS = -static +if BUILD_WINDOWS +musig_example_LDFLAGS += -lbcrypt +endif +TESTS += musig_example +endif endif ### Precomputed tables @@ -190,11 +217,11 @@ EXTRA_PROGRAMS = precompute_ecmult precompute_ecmult_gen CLEANFILES = $(EXTRA_PROGRAMS) precompute_ecmult_SOURCES = src/precompute_ecmult.c -precompute_ecmult_CPPFLAGS = $(SECP_CONFIG_DEFINES) +precompute_ecmult_CPPFLAGS = $(SECP_CONFIG_DEFINES) -DVERIFY precompute_ecmult_LDADD = $(COMMON_LIB) precompute_ecmult_gen_SOURCES = src/precompute_ecmult_gen.c -precompute_ecmult_gen_CPPFLAGS = $(SECP_CONFIG_DEFINES) +precompute_ecmult_gen_CPPFLAGS = $(SECP_CONFIG_DEFINES) -DVERIFY precompute_ecmult_gen_LDADD = $(COMMON_LIB) # See Automake manual, Section "Errors with distclean". @@ -202,7 +229,7 @@ precompute_ecmult_gen_LDADD = $(COMMON_LIB) # otherwise make's decision whether to rebuild them (even in the first # build by a normal user) depends on mtimes, and thus is very fragile. # This means that rebuilds of the prebuilt files always need to be -# forced by deleting them, e.g., by invoking `make clean-precomp`. +# forced by deleting them. src/precomputed_ecmult.c: $(MAKE) $(AM_MAKEFLAGS) precompute_ecmult$(EXEEXT) ./precompute_ecmult$(EXEEXT) @@ -217,13 +244,40 @@ precomp: $(PRECOMP) # e.g., after `make maintainer-clean`). BUILT_SOURCES = $(PRECOMP) -maintainer-clean-local: clean-precomp - +.PHONY: clean-precomp clean-precomp: rm -f $(PRECOMP) +maintainer-clean-local: clean-precomp + +### Pregenerated test vectors +### (see the comments in the previous section for detailed rationale) +TESTVECTORS = src/wycheproof/ecdsa_secp256k1_sha256_bitcoin_test.h +if ENABLE_MODULE_ECDH +TESTVECTORS += src/wycheproof/ecdh_secp256k1_test.h +endif + +src/wycheproof/ecdsa_secp256k1_sha256_bitcoin_test.h: + mkdir -p $(@D) + python3 $(top_srcdir)/tools/tests_wycheproof_generate_ecdsa.py $(top_srcdir)/src/wycheproof/ecdsa_secp256k1_sha256_bitcoin_test.json > $@ + +src/wycheproof/ecdh_secp256k1_test.h: + mkdir -p $(@D) + python3 $(top_srcdir)/tools/tests_wycheproof_generate_ecdh.py $(top_srcdir)/src/wycheproof/ecdh_secp256k1_test.json > $@ + +testvectors: $(TESTVECTORS) + +BUILT_SOURCES += $(TESTVECTORS) + +.PHONY: clean-testvectors +clean-testvectors: + rm -f $(TESTVECTORS) +maintainer-clean-local: clean-testvectors + +### Additional files to distribute EXTRA_DIST = autogen.sh CHANGELOG.md SECURITY.md EXTRA_DIST += doc/release-process.md doc/safegcd_implementation.md +EXTRA_DIST += doc/ellswift.md doc/musig.md EXTRA_DIST += examples/EXAMPLES_COPYING EXTRA_DIST += sage/gen_exhaustive_groups.sage EXTRA_DIST += sage/gen_split_lambda_constants.sage @@ -231,6 +285,11 @@ EXTRA_DIST += sage/group_prover.sage EXTRA_DIST += sage/prove_group_implementations.sage EXTRA_DIST += sage/secp256k1_params.sage EXTRA_DIST += sage/weierstrass_prover.sage +EXTRA_DIST += src/wycheproof/WYCHEPROOF_COPYING +EXTRA_DIST += src/wycheproof/ecdsa_secp256k1_sha256_bitcoin_test.json +EXTRA_DIST += src/wycheproof/ecdh_secp256k1_test.json +EXTRA_DIST += tools/tests_wycheproof_generate_ecdsa.py +EXTRA_DIST += tools/tests_wycheproof_generate_ecdh.py if ENABLE_MODULE_ECDH include src/modules/ecdh/Makefile.am.include @@ -247,3 +306,11 @@ endif if ENABLE_MODULE_SCHNORRSIG include src/modules/schnorrsig/Makefile.am.include endif + +if ENABLE_MODULE_MUSIG +include src/modules/musig/Makefile.am.include +endif + +if ENABLE_MODULE_ELLSWIFT +include src/modules/ellswift/Makefile.am.include +endif diff --git a/README.md b/README.md index 19dabe8505..90edae1a2c 100644 --- a/README.md +++ b/README.md @@ -1,11 +1,10 @@ libsecp256k1 ============ -[![Build Status](https://api.cirrus-ci.com/github/bitcoin-core/secp256k1.svg?branch=master)](https://cirrus-ci.com/github/bitcoin-core/secp256k1) ![Dependencies: None](https://img.shields.io/badge/dependencies-none-success) [![irc.libera.chat #secp256k1](https://img.shields.io/badge/irc.libera.chat-%23secp256k1-success)](https://web.libera.chat/#secp256k1) -Optimized C library for ECDSA signatures and secret/public key operations on curve secp256k1. +High-performance high-assurance C library for digital signatures and other cryptographic primitives on the secp256k1 elliptic curve. This library is intended to be the highest quality publicly available library for cryptography on the secp256k1 curve. However, the primary focus of its development has been for usage in the Bitcoin system and usage unlike Bitcoin's may be less well tested, verified, or suffer from a less well thought out interface. Correct usage requires some care and consideration that the library is fit for your application's purpose. @@ -21,6 +20,8 @@ Features: * Optional module for public key recovery. * Optional module for ECDH key exchange. * Optional module for Schnorr signatures according to [BIP-340](https://github.com/bitcoin/bips/blob/master/bip-0340.mediawiki). +* Optional module for ElligatorSwift key exchange according to [BIP-324](https://github.com/bitcoin/bips/blob/master/bip-0324.mediawiki). +* Optional module for MuSig2 Schnorr multi-signatures according to [BIP-327](https://github.com/bitcoin/bips/blob/master/bip-0327.mediawiki). Implementation details ---------------------- @@ -34,7 +35,7 @@ Implementation details * Expose only higher level interfaces to minimize the API surface and improve application security. ("Be difficult to use insecurely.") * Field operations * Optimized implementation of arithmetic modulo the curve's field size (2^256 - 0x1000003D1). - * Using 5 52-bit limbs (including hand-optimized assembly for x86_64, by Diederik Huys). + * Using 5 52-bit limbs * Using 10 26-bit limbs (including hand-optimized assembly for 32-bit ARM, by Wladimir J. van der Laan). * This is an experimental feature that has not received enough scrutiny to satisfy the standard of quality of this library but is made available for testing and review by the community. * Scalar operations @@ -60,52 +61,85 @@ Implementation details * Optional runtime blinding which attempts to frustrate differential power analysis. * The precomputed tables add and eventually subtract points for which no known scalar (secret key) is known, preventing even an attacker with control over the secret key used to control the data internally. +Obtaining and verifying +----------------------- + +The git tag for each release (e.g. `v0.6.0`) is GPG-signed by one of the maintainers. +For a fully verified build of this project, it is recommended to obtain this repository +via git, obtain the GPG keys of the signing maintainer(s), and then verify the release +tag's signature using git. + +This can be done with the following steps: + +1. Obtain the GPG keys listed in [SECURITY.md](./SECURITY.md). +2. If possible, cross-reference these key IDs with another source controlled by its owner (e.g. + social media, personal website). This is to mitigate the unlikely case that incorrect + content is being presented by this repository. +3. Clone the repository: + ``` + git clone https://github.com/bitcoin-core/secp256k1 + ``` +4. Check out the latest release tag, e.g. + ``` + git checkout v0.6.0 + ``` +5. Use git to verify the GPG signature: + ``` + % git tag -v v0.6.0 | grep -C 3 'Good signature' + + gpg: Signature made Mon 04 Nov 2024 12:14:44 PM EST + gpg: using RSA key 4BBB845A6F5A65A69DFAEC234861DBF262123605 + gpg: Good signature from "Jonas Nick " [unknown] + gpg: aka "Jonas Nick " [unknown] + gpg: WARNING: This key is not certified with a trusted signature! + gpg: There is no indication that the signature belongs to the owner. + Primary key fingerprint: 36C7 1A37 C9D9 88BD E825 08D9 B1A7 0E4F 8DCD 0366 + Subkey fingerprint: 4BBB 845A 6F5A 65A6 9DFA EC23 4861 DBF2 6212 3605 + ``` + Building with Autotools ----------------------- - $ ./autogen.sh - $ ./configure - $ make - $ make check # run the test suite - $ sudo make install # optional + $ ./autogen.sh # Generate a ./configure script + $ ./configure # Generate a build system + $ make # Run the actual build process + $ make check # Run the test suite + $ sudo make install # Install the library into the system (optional) To compile optional modules (such as Schnorr signatures), you need to run `./configure` with additional flags (such as `--enable-module-schnorrsig`). Run `./configure --help` to see the full list of available flags. -Building with CMake (experimental) ----------------------------------- +Building with CMake +------------------- To maintain a pristine source tree, CMake encourages to perform an out-of-source build by using a separate dedicated build tree. ### Building on POSIX systems - $ mkdir build && cd build - $ cmake .. - $ make - $ make check # run the test suite - $ sudo make install # optional + $ cmake -B build # Generate a build system in subdirectory "build" + $ cmake --build build # Run the actual build process + $ ctest --test-dir build # Run the test suite + $ sudo cmake --install build # Install the library into the system (optional) -To compile optional modules (such as Schnorr signatures), you need to run `cmake` with additional flags (such as `-DSECP256K1_ENABLE_MODULE_SCHNORRSIG=ON`). Run `cmake .. -LH` to see the full list of available flags. +To compile optional modules (such as Schnorr signatures), you need to run `cmake` with additional flags (such as `-DSECP256K1_ENABLE_MODULE_SCHNORRSIG=ON`). Run `cmake -B build -LH` or `ccmake -B build` to see the full list of available flags. ### Cross compiling To alleviate issues with cross compiling, preconfigured toolchain files are available in the `cmake` directory. For example, to cross compile for Windows: - $ cmake .. -DCMAKE_TOOLCHAIN_FILE=../cmake/x86_64-w64-mingw32.toolchain.cmake + $ cmake -B build -DCMAKE_TOOLCHAIN_FILE=cmake/x86_64-w64-mingw32.toolchain.cmake To cross compile for Android with [NDK](https://developer.android.com/ndk/guides/cmake) (using NDK's toolchain file, and assuming the `ANDROID_NDK_ROOT` environment variable has been set): - $ cmake .. -DCMAKE_TOOLCHAIN_FILE="${ANDROID_NDK_ROOT}/build/cmake/android.toolchain.cmake" -DANDROID_ABI=arm64-v8a -DANDROID_PLATFORM=28 + $ cmake -B build -DCMAKE_TOOLCHAIN_FILE="${ANDROID_NDK_ROOT}/build/cmake/android.toolchain.cmake" -DANDROID_ABI=arm64-v8a -DANDROID_PLATFORM=28 ### Building on Windows -To build on Windows with Visual Studio, a proper [generator](https://cmake.org/cmake/help/latest/manual/cmake-generators.7.html#visual-studio-generators) must be specified for a new build tree. - -The following example assumes using of Visual Studio 2022 and CMake v3.21+. +The following example assumes Visual Studio 2022. Using clang-cl is recommended. In "Developer Command Prompt for VS 2022": - >cmake -G "Visual Studio 17 2022" -A x64 -S . -B build + >cmake -B build -T ClangCL >cmake --build build --config RelWithDebInfo Usage examples @@ -114,30 +148,10 @@ Usage examples can be found in the [examples](examples) directory. To compile th * [ECDSA example](examples/ecdsa.c) * [Schnorr signatures example](examples/schnorr.c) * [Deriving a shared secret (ECDH) example](examples/ecdh.c) + * [ElligatorSwift key exchange example](examples/ellswift.c) + * [MuSig2 Schnorr multi-signatures example](examples/musig.c) -To compile the Schnorr signature and ECDH examples, you also need to configure with `--enable-module-schnorrsig` and `--enable-module-ecdh`. - -Test coverage ------------ - -This library aims to have full coverage of the reachable lines and branches. - -To create a test coverage report, configure with `--enable-coverage` (use of GCC is necessary): - - $ ./configure --enable-coverage - -Run the tests: - - $ make check - -To create a report, `gcovr` is recommended, as it includes branch coverage reporting: - - $ gcovr --exclude 'src/bench*' --print-summary - -To create a HTML report with coloured and annotated source code: - - $ mkdir -p coverage - $ gcovr --exclude 'src/bench*' --html --html-details -o coverage/coverage.html +To compile the examples, make sure the corresponding modules are enabled. Benchmark ------------ @@ -155,3 +169,8 @@ Reporting a vulnerability ------------ See [SECURITY.md](SECURITY.md) + +Contributing to libsecp256k1 +------------ + +See [CONTRIBUTING.md](CONTRIBUTING.md) diff --git a/build-aux/m4/bitcoin_secp.m4 b/build-aux/m4/bitcoin_secp.m4 index 624f5e956e..1428d4d9b2 100644 --- a/build-aux/m4/bitcoin_secp.m4 +++ b/build-aux/m4/bitcoin_secp.m4 @@ -1,12 +1,31 @@ dnl escape "$0x" below using the m4 quadrigaph @S|@, and escape it again with a \ for the shell. -AC_DEFUN([SECP_64BIT_ASM_CHECK],[ +AC_DEFUN([SECP_X86_64_ASM_CHECK],[ AC_MSG_CHECKING(for x86_64 assembly availability) AC_LINK_IFELSE([AC_LANG_PROGRAM([[ #include ]],[[ - uint64_t a = 11, tmp; + uint64_t a = 11, tmp = 0; __asm__ __volatile__("movq \@S|@0x100000000,%1; mulq %%rsi" : "+a"(a) : "S"(tmp) : "cc", "%rdx"); - ]])],[has_64bit_asm=yes],[has_64bit_asm=no]) -AC_MSG_RESULT([$has_64bit_asm]) + ]])], [has_x86_64_asm=yes], [has_x86_64_asm=no]) +AC_MSG_RESULT([$has_x86_64_asm]) +]) + +AC_DEFUN([SECP_ARM32_ASM_CHECK], [ + AC_MSG_CHECKING(for ARM32 assembly availability) + SECP_ARM32_ASM_CHECK_CFLAGS_saved_CFLAGS="$CFLAGS" + CFLAGS="-x assembler" + AC_LINK_IFELSE([AC_LANG_SOURCE([[ + .syntax unified + .eabi_attribute 24, 1 + .eabi_attribute 25, 1 + .text + .global main + main: + ldr r0, =0x002A + mov r7, #1 + swi 0 + ]])], [has_arm32_asm=yes], [has_arm32_asm=no]) + AC_MSG_RESULT([$has_arm32_asm]) + CFLAGS="$SECP_ARM32_ASM_CHECK_CFLAGS_saved_CFLAGS" ]) AC_DEFUN([SECP_VALGRIND_CHECK],[ @@ -21,10 +40,27 @@ if test x"$has_valgrind" != x"yes"; then # error "Valgrind does not support this platform." #endif ]])], [has_valgrind=yes]) + CPPFLAGS="$CPPFLAGS_TEMP" fi AC_MSG_RESULT($has_valgrind) ]) +AC_DEFUN([SECP_MSAN_CHECK], [ +AC_MSG_CHECKING(whether MemorySanitizer is enabled) +AC_COMPILE_IFELSE([AC_LANG_SOURCE([[ + #if defined(__has_feature) + # if __has_feature(memory_sanitizer) + /* MemorySanitizer is enabled. */ + # elif + # error "MemorySanitizer is disabled." + # endif + #else + # error "__has_feature is not defined." + #endif + ]])], [msan_enabled=yes], [msan_enabled=no]) +AC_MSG_RESULT([$msan_enabled]) +]) + dnl SECP_TRY_APPEND_CFLAGS(flags, VAR) dnl Append flags to VAR if CC accepts them. AC_DEFUN([SECP_TRY_APPEND_CFLAGS], [ diff --git a/ci/cirrus.sh b/ci/ci.sh similarity index 61% rename from ci/cirrus.sh rename to ci/ci.sh index 8495c39203..515c14cd04 100755 --- a/ci/cirrus.sh +++ b/ci/ci.sh @@ -4,19 +4,21 @@ set -eux export LC_ALL=C -# Print relevant CI environment to allow reproducing the job outside of CI. +# Print commit and relevant CI environment to allow reproducing the job outside of CI. +git show --no-patch print_environment() { # Turn off -x because it messes up the output set +x # There are many ways to print variable names and their content. This one # does not rely on bash. for var in WERROR_CFLAGS MAKEFLAGS BUILD \ - ECMULTWINDOW ECMULTGENPRECISION ASM WIDEMUL WITH_VALGRIND EXTRAFLAGS \ - EXPERIMENTAL ECDH RECOVERY SCHNORRSIG \ - SECP256K1_TEST_ITERS BENCH SECP256K1_BENCH_ITERS CTIMETESTS\ + ECMULTWINDOW ECMULTGENKB ASM WIDEMUL WITH_VALGRIND EXTRAFLAGS \ + EXPERIMENTAL ECDH RECOVERY EXTRAKEYS MUSIG SCHNORRSIG ELLSWIFT \ + SECP256K1_TEST_ITERS BENCH SECP256K1_BENCH_ITERS CTIMETESTS SYMBOL_CHECK \ EXAMPLES \ HOST WRAPPER_CMD \ - CC CFLAGS CPPFLAGS AR NM + CC CFLAGS CPPFLAGS AR NM \ + UBSAN_OPTIONS ASAN_OPTIONS LSAN_OPTIONS do eval "isset=\${$var+x}" if [ -n "$isset" ]; then @@ -30,19 +32,15 @@ print_environment() { } print_environment -# Start persistent wineserver if necessary. -# This speeds up jobs with many invocations of wine (e.g., ./configure with MSVC) tremendously. -case "$WRAPPER_CMD" in - *wine*) - # Make sure to shutdown wineserver whenever we exit. - trap "wineserver -k || true" EXIT INT HUP - # This is apparently only reliable when we run a dummy command such as "hh.exe" afterwards. - wineserver -p && wine hh.exe +env >> test_env.log + +# If gcc is requested, assert that it's in fact gcc (and not some symlinked Apple clang). +case "${CC:-undefined}" in + *gcc*) + $CC -v 2>&1 | grep -q "gcc version" || exit 1; ;; esac -env >> test_env.log - if [ -n "${CC+x}" ]; then # The MSVC compiler "cl" doesn't understand "-v" $CC -v || true @@ -60,22 +58,53 @@ fi --enable-experimental="$EXPERIMENTAL" \ --with-test-override-wide-multiply="$WIDEMUL" --with-asm="$ASM" \ --with-ecmult-window="$ECMULTWINDOW" \ - --with-ecmult-gen-precision="$ECMULTGENPRECISION" \ + --with-ecmult-gen-kb="$ECMULTGENKB" \ --enable-module-ecdh="$ECDH" --enable-module-recovery="$RECOVERY" \ + --enable-module-ellswift="$ELLSWIFT" \ + --enable-module-extrakeys="$EXTRAKEYS" \ --enable-module-schnorrsig="$SCHNORRSIG" \ + --enable-module-musig="$MUSIG" \ --enable-examples="$EXAMPLES" \ --enable-ctime-tests="$CTIMETESTS" \ --with-valgrind="$WITH_VALGRIND" \ --host="$HOST" $EXTRAFLAGS # We have set "-j" in MAKEFLAGS. -make +build_exit_code=0 +make > make.log 2>&1 || build_exit_code=$? +cat make.log +if [ $build_exit_code -ne 0 ]; then + case "${CC:-undefined}" in + *snapshot*) + # Ignore internal compiler errors in gcc-snapshot and clang-snapshot + grep -e "internal compiler error:" -e "PLEASE submit a bug report" make.log + exit $? + ;; + *) + exit 1 + ;; + esac +fi # Print information about binaries so that we can see that the architecture is correct file *tests* || true file bench* || true file .libs/* || true +if [ "$SYMBOL_CHECK" = "yes" ] +then + python3 --version + case "$HOST" in + *mingw*) + ls -l .libs + python3 ./tools/symbol-check.py .libs/libsecp256k1-*.dll + ;; + *) + python3 ./tools/symbol-check.py .libs/libsecp256k1.so + ;; + esac +fi + # This tells `make check` to wrap test invocations. export LOG_COMPILER="$WRAPPER_CMD" @@ -109,8 +138,8 @@ fi # Rebuild precomputed files (if not cross-compiling). if [ -z "$HOST" ] then - make clean-precomp - make precomp + make clean-precomp clean-testvectors + make precomp testvectors fi # Check that no repo files have been modified by the build. diff --git a/ci/linux-debian.Dockerfile b/ci/linux-debian.Dockerfile index a83a4e36db..a575d9b1c4 100644 --- a/ci/linux-debian.Dockerfile +++ b/ci/linux-debian.Dockerfile @@ -1,4 +1,17 @@ -FROM debian:stable +FROM debian:stable-slim + +SHELL ["/bin/bash", "-c"] + +WORKDIR /root + +# A too high maximum number of file descriptors (with the default value +# inherited from the docker host) can cause issues with some of our tools: +# - sanitizers hanging: https://github.com/google/sanitizers/issues/1662 +# - valgrind crashing: https://stackoverflow.com/a/75293014 +# This is not be a problem on our CI hosts, but developers who run the image +# on their machines may run into this (e.g., on Arch Linux), so warn them. +# (Note that .bashrc is only executed in interactive bash shells.) +RUN echo 'if [[ $(ulimit -n) -gt 200000 ]]; then echo "WARNING: Very high value reported by \"ulimit -n\". Consider passing \"--ulimit nofile=32768\" to \"docker run\"."; fi' >> /root/.bashrc RUN dpkg --add-architecture i386 && \ dpkg --add-architecture s390x && \ @@ -6,32 +19,66 @@ RUN dpkg --add-architecture i386 && \ dpkg --add-architecture arm64 && \ dpkg --add-architecture ppc64el -# dkpg-dev: to make pkg-config work in cross-builds +# dpkg-dev: to make pkg-config work in cross-builds # llvm: for llvm-symbolizer, which is used by clang's UBSan for symbolized stack traces -RUN apt-get update && apt-get install --no-install-recommends -y \ +RUN apt-get update && DEBIAN_FRONTEND=noninteractive apt-get install --no-install-recommends -y \ git ca-certificates \ make automake libtool pkg-config dpkg-dev valgrind qemu-user \ - gcc clang llvm libc6-dbg \ + gcc clang llvm libclang-rt-dev libc6-dbg \ g++ \ - gcc-i686-linux-gnu libc6-dev-i386-cross libc6-dbg:i386 libubsan1:i386 libasan6:i386 \ + gcc-i686-linux-gnu libc6-dev-i386-cross libc6-dbg:i386 libubsan1:i386 libasan8:i386 \ gcc-s390x-linux-gnu libc6-dev-s390x-cross libc6-dbg:s390x \ gcc-arm-linux-gnueabihf libc6-dev-armhf-cross libc6-dbg:armhf \ - gcc-aarch64-linux-gnu libc6-dev-arm64-cross libc6-dbg:arm64 \ gcc-powerpc64le-linux-gnu libc6-dev-ppc64el-cross libc6-dbg:ppc64el \ gcc-mingw-w64-x86-64-win32 wine64 wine \ gcc-mingw-w64-i686-win32 wine32 \ - sagemath + python3-full && \ + if ! ( dpkg --print-architecture | grep --quiet "arm64" ) ; then \ + DEBIAN_FRONTEND=noninteractive apt-get install --no-install-recommends -y \ + gcc-aarch64-linux-gnu libc6-dev-arm64-cross libc6-dbg:arm64 ;\ + fi && \ + apt-get clean && rm -rf /var/lib/apt/lists/* -WORKDIR /root -# The "wine" package provides a convience wrapper that we need -RUN apt-get update && apt-get install --no-install-recommends -y \ - git ca-certificates wine64 wine python3-simplejson python3-six msitools winbind procps && \ - git clone https://github.com/mstorsjo/msvc-wine && \ - mkdir /opt/msvc && \ - python3 msvc-wine/vsdownload.py --accept-license --dest /opt/msvc Microsoft.VisualStudio.Workload.VCTools && \ - msvc-wine/install.sh /opt/msvc - -# Initialize the wine environment. Wait until the wineserver process has -# exited before closing the session, to avoid corrupting the wine prefix. -RUN wine64 wineboot --init && \ - while (ps -A | grep wineserver) > /dev/null; do sleep 1; done +# Build and install gcc snapshot +ARG GCC_SNAPSHOT_MAJOR=16 +RUN apt-get update && DEBIAN_FRONTEND=noninteractive apt-get install --no-install-recommends -y \ + wget libgmp-dev libmpfr-dev libmpc-dev flex && \ + mkdir gcc && cd gcc && \ + wget --progress=dot:giga --https-only --recursive --accept '*.tar.xz' --level 1 --no-directories "https://gcc.gnu.org/pub/gcc/snapshots/LATEST-${GCC_SNAPSHOT_MAJOR}" && \ + wget "https://gcc.gnu.org/pub/gcc/snapshots/LATEST-${GCC_SNAPSHOT_MAJOR}/sha512.sum" && \ + sha512sum --check --ignore-missing sha512.sum && \ + # We should have downloaded exactly one tar.xz file + ls && \ + [ $(ls *.tar.xz | wc -l) -eq "1" ] && \ + tar xf *.tar.xz && \ + mkdir gcc-build && cd gcc-build && \ + ../*/configure --prefix=/opt/gcc-snapshot --enable-languages=c --disable-bootstrap --disable-multilib --without-isl && \ + make -j $(nproc) && \ + make install && \ + cd ../.. && rm -rf gcc && \ + ln -s /opt/gcc-snapshot/bin/gcc /usr/bin/gcc-snapshot && \ + apt-get autoremove -y wget libgmp-dev libmpfr-dev libmpc-dev flex && \ + apt-get clean && rm -rf /var/lib/apt/lists/* + +# Install clang snapshot, see https://apt.llvm.org/ +RUN \ + # Setup GPG keys of LLVM repository + apt-get update && DEBIAN_FRONTEND=noninteractive apt-get install --no-install-recommends -y wget && \ + wget -qO- https://apt.llvm.org/llvm-snapshot.gpg.key | tee /etc/apt/trusted.gpg.d/apt.llvm.org.asc && \ + # Add repository for this Debian release + . /etc/os-release && echo "deb http://apt.llvm.org/${VERSION_CODENAME} llvm-toolchain-${VERSION_CODENAME} main" >> /etc/apt/sources.list && \ + apt-get update && \ + # Determine the version number of the LLVM development branch + LLVM_VERSION=$(apt-cache search --names-only '^clang-[0-9]+$' | sort -V | tail -1 | cut -f1 -d" " | cut -f2 -d"-" ) && \ + # Install + DEBIAN_FRONTEND=noninteractive apt-get install --no-install-recommends -y "clang-${LLVM_VERSION}" "libclang-rt-${LLVM_VERSION}-dev" && \ + # Create symlink + ln -s "/usr/bin/clang-${LLVM_VERSION}" /usr/bin/clang-snapshot && \ + # Clean up + apt-get autoremove -y wget && \ + apt-get clean && rm -rf /var/lib/apt/lists/* + +ENV VIRTUAL_ENV=/root/venv +RUN python3 -m venv $VIRTUAL_ENV +ENV PATH="$VIRTUAL_ENV/bin:$PATH" +RUN pip install lief diff --git a/cmake/CheckArm32Assembly.cmake b/cmake/CheckArm32Assembly.cmake new file mode 100644 index 0000000000..baeeff0292 --- /dev/null +++ b/cmake/CheckArm32Assembly.cmake @@ -0,0 +1,6 @@ +function(check_arm32_assembly) + try_compile(HAVE_ARM32_ASM + ${PROJECT_BINARY_DIR}/check_arm32_assembly + SOURCES ${PROJECT_SOURCE_DIR}/cmake/source_arm32.s + ) +endfunction() diff --git a/cmake/CheckMemorySanitizer.cmake b/cmake/CheckMemorySanitizer.cmake new file mode 100644 index 0000000000..d9ef681e65 --- /dev/null +++ b/cmake/CheckMemorySanitizer.cmake @@ -0,0 +1,18 @@ +include_guard(GLOBAL) +include(CheckCSourceCompiles) + +function(check_memory_sanitizer output) + set(CMAKE_TRY_COMPILE_TARGET_TYPE STATIC_LIBRARY) + check_c_source_compiles(" + #if defined(__has_feature) + # if __has_feature(memory_sanitizer) + /* MemorySanitizer is enabled. */ + # elif + # error \"MemorySanitizer is disabled.\" + # endif + #else + # error \"__has_feature is not defined.\" + #endif + " HAVE_MSAN) + set(${output} ${HAVE_MSAN} PARENT_SCOPE) +endfunction() diff --git a/cmake/CheckStringOptionValue.cmake b/cmake/CheckStringOptionValue.cmake index bc4d7b5749..5a4d939b9e 100644 --- a/cmake/CheckStringOptionValue.cmake +++ b/cmake/CheckStringOptionValue.cmake @@ -1,11 +1,9 @@ function(check_string_option_value option) get_property(expected_values CACHE ${option} PROPERTY STRINGS) if(expected_values) - foreach(value IN LISTS expected_values) - if(value STREQUAL "${${option}}") - return() - endif() - endforeach() + if(${option} IN_LIST expected_values) + return() + endif() message(FATAL_ERROR "${option} value is \"${${option}}\", but must be one of ${expected_values}.") endif() message(AUTHOR_WARNING "The STRINGS property must be set before invoking `check_string_option_value' function.") diff --git a/cmake/Check64bitAssembly.cmake b/cmake/CheckX86_64Assembly.cmake similarity index 55% rename from cmake/Check64bitAssembly.cmake rename to cmake/CheckX86_64Assembly.cmake index 3f65887765..ca18919e06 100644 --- a/cmake/Check64bitAssembly.cmake +++ b/cmake/CheckX86_64Assembly.cmake @@ -1,14 +1,15 @@ include(CheckCSourceCompiles) -function(check_64bit_assembly) +function(check_x86_64_assembly) check_c_source_compiles(" #include - int main() + int main(void) { - uint64_t a = 11, tmp; + uint64_t a = 11, tmp = 0; __asm__ __volatile__(\"movq $0x100000000,%1; mulq %%rsi\" : \"+a\"(a) : \"S\"(tmp) : \"cc\", \"%rdx\"); + return 0; } - " HAS_64BIT_ASM) - set(HAS_64BIT_ASM ${HAS_64BIT_ASM} PARENT_SCOPE) + " HAVE_X86_64_ASM) + set(HAVE_X86_64_ASM ${HAVE_X86_64_ASM} PARENT_SCOPE) endfunction() diff --git a/cmake/FindValgrind.cmake b/cmake/FindValgrind.cmake index f6c1f58649..3af5e691e4 100644 --- a/cmake/FindValgrind.cmake +++ b/cmake/FindValgrind.cmake @@ -1,4 +1,4 @@ -if(CMAKE_HOST_SYSTEM_NAME STREQUAL "Darwin") +if(CMAKE_HOST_APPLE) find_program(BREW_COMMAND brew) execute_process( COMMAND ${BREW_COMMAND} --prefix valgrind diff --git a/cmake/GeneratePkgConfigFile.cmake b/cmake/GeneratePkgConfigFile.cmake new file mode 100644 index 0000000000..9c1d7f1ddd --- /dev/null +++ b/cmake/GeneratePkgConfigFile.cmake @@ -0,0 +1,8 @@ +function(generate_pkg_config_file in_file) + set(prefix ${CMAKE_INSTALL_PREFIX}) + set(exec_prefix \${prefix}) + set(libdir \${exec_prefix}/${CMAKE_INSTALL_LIBDIR}) + set(includedir \${prefix}/${CMAKE_INSTALL_INCLUDEDIR}) + set(PACKAGE_VERSION ${PROJECT_VERSION}) + configure_file(${in_file} ${PROJECT_NAME}.pc @ONLY) +endfunction() diff --git a/cmake/TryAddCompileOption.cmake b/cmake/TryAddCompileOption.cmake deleted file mode 100644 index f53c252c2d..0000000000 --- a/cmake/TryAddCompileOption.cmake +++ /dev/null @@ -1,23 +0,0 @@ -include(CheckCCompilerFlag) - -function(try_add_compile_option option) - string(MAKE_C_IDENTIFIER ${option} result) - string(TOUPPER ${result} result) - set(result "C_SUPPORTS${result}") - set(CMAKE_TRY_COMPILE_TARGET_TYPE STATIC_LIBRARY) - if(NOT MSVC) - set(CMAKE_REQUIRED_FLAGS "-Werror") - endif() - check_c_compiler_flag(${option} ${result}) - if(${result}) - get_property(compile_options - DIRECTORY "${CMAKE_CURRENT_SOURCE_DIR}" - PROPERTY COMPILE_OPTIONS - ) - list(APPEND compile_options "${option}") - set_property( - DIRECTORY "${CMAKE_CURRENT_SOURCE_DIR}" - PROPERTY COMPILE_OPTIONS "${compile_options}" - ) - endif() -endfunction() diff --git a/cmake/TryAppendCFlags.cmake b/cmake/TryAppendCFlags.cmake new file mode 100644 index 0000000000..1d81a9317a --- /dev/null +++ b/cmake/TryAppendCFlags.cmake @@ -0,0 +1,24 @@ +include(CheckCCompilerFlag) + +function(secp256k1_check_c_flags_internal flags output) + string(MAKE_C_IDENTIFIER "${flags}" result) + string(TOUPPER "${result}" result) + set(result "C_SUPPORTS_${result}") + if(NOT MSVC) + set(CMAKE_REQUIRED_FLAGS "-Werror") + endif() + + # This avoids running a linker. + set(CMAKE_TRY_COMPILE_TARGET_TYPE STATIC_LIBRARY) + check_c_compiler_flag("${flags}" ${result}) + + set(${output} ${${result}} PARENT_SCOPE) +endfunction() + +# Append flags to the COMPILE_OPTIONS directory property if CC accepts them. +macro(try_append_c_flags) + secp256k1_check_c_flags_internal("${ARGV}" result) + if(result) + add_compile_options(${ARGV}) + endif() +endmacro() diff --git a/cmake/source_arm32.s b/cmake/source_arm32.s new file mode 100644 index 0000000000..d3d9347057 --- /dev/null +++ b/cmake/source_arm32.s @@ -0,0 +1,9 @@ +.syntax unified +.eabi_attribute 24, 1 +.eabi_attribute 25, 1 +.text +.global main +main: + ldr r0, =0x002A + mov r7, #1 + swi 0 diff --git a/configure.ac b/configure.ac index 1276dfaacd..6028ee288d 100644 --- a/configure.ac +++ b/configure.ac @@ -4,7 +4,7 @@ AC_PREREQ([2.60]) # the API. All changes in experimental modules are treated as # backwards-compatible and therefore at most increase the minor version. define(_PKG_VERSION_MAJOR, 0) -define(_PKG_VERSION_MINOR, 3) +define(_PKG_VERSION_MINOR, 7) define(_PKG_VERSION_PATCH, 1) define(_PKG_VERSION_IS_RELEASE, false) @@ -13,7 +13,7 @@ define(_PKG_VERSION_IS_RELEASE, false) # https://www.gnu.org/software/libtool/manual/html_node/Updating-version-info.html # All changes in experimental modules are treated as if they don't affect the # interface and therefore only increase the revision. -define(_LIB_VERSION_CURRENT, 2) +define(_LIB_VERSION_CURRENT, 6) define(_LIB_VERSION_REVISION, 1) define(_LIB_VERSION_AGE, 0) @@ -29,6 +29,11 @@ AM_INIT_AUTOMAKE([1.11.2 foreign subdir-objects]) # Make the compilation flags quiet unless V=1 is used. m4_ifdef([AM_SILENT_RULES], [AM_SILENT_RULES([yes])]) +if test "${CFLAGS+set}" = "set"; then + CFLAGS_overridden=yes +else + CFLAGS_overridden=no +fi AC_PROG_CC AM_PROG_AS AM_PROG_AR @@ -88,11 +93,14 @@ esac AC_DEFUN([SECP_TRY_APPEND_DEFAULT_CFLAGS], [ # GCC and compatible (incl. clang) if test "x$GCC" = "xyes"; then - # Try to append -Werror=unknown-warning-option to CFLAGS temporarily. Otherwise clang will - # not error out if it gets unknown warning flags and the checks here will always succeed - # no matter if clang knows the flag or not. + # Try to append -Werror to CFLAGS temporarily. Otherwise checks for some unsupported + # flags will succeed. + # Note that failure to append -Werror does not necessarily mean that -Werror is not + # supported. The compiler may already be warning about something unrelated, for example + # about some path issue. If that is the case, -Werror cannot be used because all + # of those warnings would be turned into errors. SECP_TRY_APPEND_DEFAULT_CFLAGS_saved_CFLAGS="$CFLAGS" - SECP_TRY_APPEND_CFLAGS([-Werror=unknown-warning-option], CFLAGS) + SECP_TRY_APPEND_CFLAGS([-Werror], CFLAGS) SECP_TRY_APPEND_CFLAGS([-std=c89 -pedantic -Wno-long-long -Wnested-externs -Wshadow -Wstrict-prototypes -Wundef], $1) # GCC >= 3.0, -Wlong-long is implied by -pedantic. SECP_TRY_APPEND_CFLAGS([-Wno-overlength-strings], $1) # GCC >= 4.2, -Woverlength-strings is implied by -pedantic. @@ -103,7 +111,6 @@ AC_DEFUN([SECP_TRY_APPEND_DEFAULT_CFLAGS], [ SECP_TRY_APPEND_CFLAGS([-Wcast-align=strict], $1) # GCC >= 8.0 SECP_TRY_APPEND_CFLAGS([-Wconditional-uninitialized], $1) # Clang >= 3.0 only SECP_TRY_APPEND_CFLAGS([-Wreserved-identifier], $1) # Clang >= 13.0 only - SECP_TRY_APPEND_CFLAGS([-fvisibility=hidden], $1) # GCC >= 4.0 CFLAGS="$SECP_TRY_APPEND_DEFAULT_CFLAGS_saved_CFLAGS" fi @@ -113,14 +120,12 @@ AC_DEFUN([SECP_TRY_APPEND_DEFAULT_CFLAGS], [ # libtool makes the same assumption internally. # Note that "/opt" and "-opt" are equivalent for MSVC; we use "-opt" because "/opt" looks like a path. if test x"$GCC" != x"yes" && test x"$build_windows" = x"yes"; then - SECP_TRY_APPEND_CFLAGS([-W2 -wd4146], $1) # Moderate warning level, disable warning C4146 "unary minus operator applied to unsigned type, result still unsigned" - SECP_TRY_APPEND_CFLAGS([-external:anglebrackets -external:W0], $1) # Suppress warnings from #include <...> files - # We pass -ignore:4217 to the MSVC linker to suppress warning 4217 when - # importing variables from a statically linked secp256k1. - # (See the libtool manual, section "Windows DLLs" for background.) - # Unfortunately, libtool tries to be too clever and strips "-Xlinker arg" - # into "arg", so this will be " -Xlinker -ignore:4217" after stripping. - LDFLAGS="-Xlinker -Xlinker -Xlinker -ignore:4217 $LDFLAGS" + SECP_TRY_APPEND_CFLAGS([-W3], $1) # Production quality warning level. + SECP_TRY_APPEND_CFLAGS([-wd4146], $1) # Disable warning C4146 "unary minus operator applied to unsigned type, result still unsigned". + SECP_TRY_APPEND_CFLAGS([-wd4244], $1) # Disable warning C4244 "'conversion' conversion from 'type1' to 'type2', possible loss of data". + SECP_TRY_APPEND_CFLAGS([-wd4267], $1) # Disable warning C4267 "'var' : conversion from 'size_t' to 'type', possible loss of data". + # Eliminate deprecation warnings for the older, less secure functions. + CPPFLAGS="-D_CRT_SECURE_NO_WARNINGS $CPPFLAGS" fi ]) SECP_TRY_APPEND_DEFAULT_CFLAGS(SECP_CFLAGS) @@ -139,7 +144,7 @@ AC_ARG_ENABLE(benchmark, [SECP_SET_DEFAULT([enable_benchmark], [yes], [yes])]) AC_ARG_ENABLE(coverage, - AS_HELP_STRING([--enable-coverage],[enable compiler flags to support kcov coverage analysis [default=no]]), [], + AS_HELP_STRING([--enable-coverage],[enable coverage analysis support [default=no]]), [], [SECP_SET_DEFAULT([enable_coverage], [no], [no])]) AC_ARG_ENABLE(tests, @@ -178,6 +183,14 @@ AC_ARG_ENABLE(module_schnorrsig, AS_HELP_STRING([--enable-module-schnorrsig],[enable schnorrsig module [default=yes]]), [], [SECP_SET_DEFAULT([enable_module_schnorrsig], [yes], [yes])]) +AC_ARG_ENABLE(module_musig, + AS_HELP_STRING([--enable-module-musig],[enable MuSig2 module [default=yes]]), [], + [SECP_SET_DEFAULT([enable_module_musig], [yes], [yes])]) + +AC_ARG_ENABLE(module_ellswift, + AS_HELP_STRING([--enable-module-ellswift],[enable ElligatorSwift module [default=yes]]), [], + [SECP_SET_DEFAULT([enable_module_ellswift], [yes], [yes])]) + AC_ARG_ENABLE(external_default_callbacks, AS_HELP_STRING([--enable-external-default-callbacks],[enable external default callback functions [default=no]]), [], [SECP_SET_DEFAULT([enable_external_default_callbacks], [no], [no])]) @@ -190,26 +203,25 @@ AC_ARG_ENABLE(external_default_callbacks, # * and auto (the default). AC_ARG_WITH([test-override-wide-multiply], [] ,[set_widemul=$withval], [set_widemul=auto]) -AC_ARG_WITH([asm], [AS_HELP_STRING([--with-asm=x86_64|arm|no|auto], -[assembly optimizations to use (experimental: arm) [default=auto]])],[req_asm=$withval], [req_asm=auto]) +AC_ARG_WITH([asm], [AS_HELP_STRING([--with-asm=x86_64|arm32|no|auto], +[assembly to use (experimental: arm32) [default=auto]])],[req_asm=$withval], [req_asm=auto]) -AC_ARG_WITH([ecmult-window], [AS_HELP_STRING([--with-ecmult-window=SIZE|auto], +AC_ARG_WITH([ecmult-window], [AS_HELP_STRING([--with-ecmult-window=SIZE], [window size for ecmult precomputation for verification, specified as integer in range [2..24].] [Larger values result in possibly better performance at the cost of an exponentially larger precomputed table.] [The table will store 2^(SIZE-1) * 64 bytes of data but can be larger in memory due to platform-specific padding and alignment.] [A window size larger than 15 will require you delete the prebuilt precomputed_ecmult.c file so that it can be rebuilt.] [For very large window sizes, use "make -j 1" to reduce memory use during compilation.] -["auto" is a reasonable setting for desktop machines (currently 15). [default=auto]] +[The default value is a reasonable setting for desktop machines (currently 15). [default=15]] )], -[req_ecmult_window=$withval], [req_ecmult_window=auto]) +[set_ecmult_window=$withval], [set_ecmult_window=15]) -AC_ARG_WITH([ecmult-gen-precision], [AS_HELP_STRING([--with-ecmult-gen-precision=2|4|8|auto], -[Precision bits to tune the precomputed table size for signing.] -[The size of the table is 32kB for 2 bits, 64kB for 4 bits, 512kB for 8 bits of precision.] -[A larger table size usually results in possible faster signing.] -["auto" is a reasonable setting for desktop machines (currently 4). [default=auto]] +AC_ARG_WITH([ecmult-gen-kb], [AS_HELP_STRING([--with-ecmult-gen-kb=2|22|86], +[The size of the precomputed table for signing in multiples of 1024 bytes (on typical platforms).] +[Larger values result in possibly better signing/keygeneration performance at the cost of a larger table.] +[The default value is a reasonable setting for desktop machines (currently 86). [default=86]] )], -[req_ecmult_gen_precision=$withval], [req_ecmult_gen_precision=auto]) +[set_ecmult_gen_kb=$withval], [set_ecmult_gen_kb=86]) AC_ARG_WITH([valgrind], [AS_HELP_STRING([--with-valgrind=yes|no|auto], [Build with extra checks for running inside Valgrind [default=auto]] @@ -238,9 +250,29 @@ if test x"$enable_ctime_tests" = x"auto"; then enable_ctime_tests=$enable_valgrind fi +print_msan_notice=no +if test x"$enable_ctime_tests" = x"yes"; then + SECP_MSAN_CHECK + # MSan on Clang >=16 reports uninitialized memory in function parameters and return values, even if + # the uninitialized variable is never actually "used". This is called "eager" checking, and it's + # sounds like good idea for normal use of MSan. However, it yields many false positives in the + # ctime_tests because many return values depend on secret (i.e., "uninitialized") values, and + # we're only interested in detecting branches (which count as "uses") on secret data. + if test x"$msan_enabled" = x"yes"; then + SECP_TRY_APPEND_CFLAGS([-fno-sanitize-memory-param-retval], SECP_CFLAGS) + print_msan_notice=yes + fi +fi + if test x"$enable_coverage" = x"yes"; then SECP_CONFIG_DEFINES="$SECP_CONFIG_DEFINES -DCOVERAGE=1" SECP_CFLAGS="-O0 --coverage $SECP_CFLAGS" + # If coverage is enabled, and the user has not overridden CFLAGS, + # override Autoconf's value "-g -O2" with "-g". Otherwise we'd end up + # with "-O0 --coverage -g -O2". + if test "$CFLAGS_overridden" = "no"; then + CFLAGS="-g" + fi LDFLAGS="--coverage $LDFLAGS" else # Most likely the CFLAGS already contain -O2 because that is autoconf's default. @@ -250,8 +282,8 @@ else fi if test x"$req_asm" = x"auto"; then - SECP_64BIT_ASM_CHECK - if test x"$has_64bit_asm" = x"yes"; then + SECP_X86_64_ASM_CHECK + if test x"$has_x86_64_asm" = x"yes"; then set_asm=x86_64 fi if test x"$set_asm" = x; then @@ -261,35 +293,39 @@ else set_asm=$req_asm case $set_asm in x86_64) - SECP_64BIT_ASM_CHECK - if test x"$has_64bit_asm" != x"yes"; then - AC_MSG_ERROR([x86_64 assembly optimization requested but not available]) + SECP_X86_64_ASM_CHECK + if test x"$has_x86_64_asm" != x"yes"; then + AC_MSG_ERROR([x86_64 assembly requested but not available]) fi ;; - arm) + arm32) + SECP_ARM32_ASM_CHECK + if test x"$has_arm32_asm" != x"yes"; then + AC_MSG_ERROR([ARM32 assembly requested but not available]) + fi ;; no) ;; *) - AC_MSG_ERROR([invalid assembly optimization selection]) + AC_MSG_ERROR([invalid assembly selection]) ;; esac fi -# Select assembly optimization +# Select assembly enable_external_asm=no case $set_asm in x86_64) SECP_CONFIG_DEFINES="$SECP_CONFIG_DEFINES -DUSE_ASM_X86_64=1" ;; -arm) +arm32) enable_external_asm=yes ;; no) ;; *) - AC_MSG_ERROR([invalid assembly optimizations]) + AC_MSG_ERROR([invalid assembly selection]) ;; esac @@ -316,14 +352,7 @@ auto) ;; esac -# Set ecmult window size -if test x"$req_ecmult_window" = x"auto"; then - set_ecmult_window=15 -else - set_ecmult_window=$req_ecmult_window -fi - -error_window_size=['window size for ecmult precomputation not an integer in range [2..24] or "auto"'] +error_window_size=['window size for ecmult precomputation not an integer in range [2..24]'] case $set_ecmult_window in ''|*[[!0-9]]*) # no valid integer @@ -338,19 +367,18 @@ case $set_ecmult_window in ;; esac -# Set ecmult gen precision -if test x"$req_ecmult_gen_precision" = x"auto"; then - set_ecmult_gen_precision=4 -else - set_ecmult_gen_precision=$req_ecmult_gen_precision -fi - -case $set_ecmult_gen_precision in -2|4|8) - SECP_CONFIG_DEFINES="$SECP_CONFIG_DEFINES -DECMULT_GEN_PREC_BITS=$set_ecmult_gen_precision" +case $set_ecmult_gen_kb in +2) + SECP_CONFIG_DEFINES="$SECP_CONFIG_DEFINES -DCOMB_BLOCKS=2 -DCOMB_TEETH=5" + ;; +22) + SECP_CONFIG_DEFINES="$SECP_CONFIG_DEFINES -DCOMB_BLOCKS=11 -DCOMB_TEETH=6" + ;; +86) + SECP_CONFIG_DEFINES="$SECP_CONFIG_DEFINES -DCOMB_BLOCKS=43 -DCOMB_TEETH=6" ;; *) - AC_MSG_ERROR(['ecmult gen precision not 2, 4, 8 or "auto"']) + AC_MSG_ERROR(['ecmult gen table size not 2, 22 or 86']) ;; esac @@ -367,25 +395,40 @@ SECP_CFLAGS="$SECP_CFLAGS $WERROR_CFLAGS" ### Handle module options ### -if test x"$enable_module_ecdh" = x"yes"; then - SECP_CONFIG_DEFINES="$SECP_CONFIG_DEFINES -DENABLE_MODULE_ECDH=1" +# Processing must be done in a reverse topological sorting of the dependency graph +# (dependent module first). +if test x"$enable_module_ellswift" = x"yes"; then + SECP_CONFIG_DEFINES="$SECP_CONFIG_DEFINES -DENABLE_MODULE_ELLSWIFT=1" fi -if test x"$enable_module_recovery" = x"yes"; then - SECP_CONFIG_DEFINES="$SECP_CONFIG_DEFINES -DENABLE_MODULE_RECOVERY=1" +if test x"$enable_module_musig" = x"yes"; then + if test x"$enable_module_schnorrsig" = x"no"; then + AC_MSG_ERROR([Module dependency error: You have disabled the schnorrsig module explicitly, but it is required by the musig module.]) + fi + enable_module_schnorrsig=yes + SECP_CONFIG_DEFINES="$SECP_CONFIG_DEFINES -DENABLE_MODULE_MUSIG=1" fi if test x"$enable_module_schnorrsig" = x"yes"; then - SECP_CONFIG_DEFINES="$SECP_CONFIG_DEFINES -DENABLE_MODULE_SCHNORRSIG=1" + if test x"$enable_module_extrakeys" = x"no"; then + AC_MSG_ERROR([Module dependency error: You have disabled the extrakeys module explicitly, but it is required by the schnorrsig module.]) + fi enable_module_extrakeys=yes + SECP_CONFIG_DEFINES="$SECP_CONFIG_DEFINES -DENABLE_MODULE_SCHNORRSIG=1" fi -# Test if extrakeys is set after the schnorrsig module to allow the schnorrsig -# module to set enable_module_extrakeys=yes if test x"$enable_module_extrakeys" = x"yes"; then SECP_CONFIG_DEFINES="$SECP_CONFIG_DEFINES -DENABLE_MODULE_EXTRAKEYS=1" fi +if test x"$enable_module_recovery" = x"yes"; then + SECP_CONFIG_DEFINES="$SECP_CONFIG_DEFINES -DENABLE_MODULE_RECOVERY=1" +fi + +if test x"$enable_module_ecdh" = x"yes"; then + SECP_CONFIG_DEFINES="$SECP_CONFIG_DEFINES -DENABLE_MODULE_ECDH=1" +fi + if test x"$enable_external_default_callbacks" = x"yes"; then SECP_CONFIG_DEFINES="$SECP_CONFIG_DEFINES -DUSE_EXTERNAL_DEFAULT_CALLBACKS=1" fi @@ -394,17 +437,20 @@ fi ### Check for --enable-experimental if necessary ### -if test x"$enable_experimental" = x"yes"; then - AC_MSG_NOTICE([******]) - AC_MSG_NOTICE([WARNING: experimental build]) - AC_MSG_NOTICE([Experimental features do not have stable APIs or properties, and may not be safe for production use.]) - AC_MSG_NOTICE([******]) -else - if test x"$set_asm" = x"arm"; then - AC_MSG_ERROR([ARM assembly optimization is experimental. Use --enable-experimental to allow.]) +if test x"$enable_experimental" = x"no"; then + if test x"$set_asm" = x"arm32"; then + AC_MSG_ERROR([ARM32 assembly is experimental. Use --enable-experimental to allow.]) fi fi +# Check for concurrency support (tests only) +if test "x$enable_tests" != x"no"; then + AC_CHECK_HEADERS([sys/types.h sys/wait.h unistd.h]) + AS_IF([test "x$ac_cv_header_sys_types_h" = xyes && test "x$ac_cv_header_sys_wait_h" = xyes && + test "x$ac_cv_header_unistd_h" = xyes], [TEST_DEFINES="-DSUPPORTS_CONCURRENCY=1"], TEST_DEFINES="") + AC_SUBST(TEST_DEFINES) +fi + ### ### Generate output ### @@ -422,8 +468,10 @@ AM_CONDITIONAL([ENABLE_MODULE_ECDH], [test x"$enable_module_ecdh" = x"yes"]) AM_CONDITIONAL([ENABLE_MODULE_RECOVERY], [test x"$enable_module_recovery" = x"yes"]) AM_CONDITIONAL([ENABLE_MODULE_EXTRAKEYS], [test x"$enable_module_extrakeys" = x"yes"]) AM_CONDITIONAL([ENABLE_MODULE_SCHNORRSIG], [test x"$enable_module_schnorrsig" = x"yes"]) +AM_CONDITIONAL([ENABLE_MODULE_MUSIG], [test x"$enable_module_musig" = x"yes"]) +AM_CONDITIONAL([ENABLE_MODULE_ELLSWIFT], [test x"$enable_module_ellswift" = x"yes"]) AM_CONDITIONAL([USE_EXTERNAL_ASM], [test x"$enable_external_asm" = x"yes"]) -AM_CONDITIONAL([USE_ASM_ARM], [test x"$set_asm" = x"arm"]) +AM_CONDITIONAL([USE_ASM_ARM], [test x"$set_asm" = x"arm32"]) AM_CONDITIONAL([BUILD_WINDOWS], [test "$build_windows" = "yes"]) AC_SUBST(LIB_VERSION_CURRENT, _LIB_VERSION_CURRENT) AC_SUBST(LIB_VERSION_REVISION, _LIB_VERSION_REVISION) @@ -436,6 +484,7 @@ echo "Build Options:" echo " with external callbacks = $enable_external_default_callbacks" echo " with benchmarks = $enable_benchmark" echo " with tests = $enable_tests" +echo " with exhaustive tests = $enable_exhaustive_tests" echo " with ctime tests = $enable_ctime_tests" echo " with coverage = $enable_coverage" echo " with examples = $enable_examples" @@ -443,10 +492,12 @@ echo " module ecdh = $enable_module_ecdh" echo " module recovery = $enable_module_recovery" echo " module extrakeys = $enable_module_extrakeys" echo " module schnorrsig = $enable_module_schnorrsig" +echo " module musig = $enable_module_musig" +echo " module ellswift = $enable_module_ellswift" echo echo " asm = $set_asm" echo " ecmult window size = $set_ecmult_window" -echo " ecmult gen prec. bits = $set_ecmult_gen_precision" +echo " ecmult gen table size = $set_ecmult_gen_kb KiB" # Hide test-only options unless they're used. if test x"$set_widemul" != xauto; then echo " wide multiplication = $set_widemul" @@ -458,3 +509,17 @@ echo " CPPFLAGS = $CPPFLAGS" echo " SECP_CFLAGS = $SECP_CFLAGS" echo " CFLAGS = $CFLAGS" echo " LDFLAGS = $LDFLAGS" + +if test x"$print_msan_notice" = x"yes"; then + echo + echo "Note:" + echo " MemorySanitizer detected, tried to add -fno-sanitize-memory-param-retval to SECP_CFLAGS" + echo " to avoid false positives in ctime_tests. Pass --disable-ctime-tests to avoid this." +fi + +if test x"$enable_experimental" = x"yes"; then + echo + echo "WARNING: Experimental build" + echo " Experimental features do not have stable APIs or properties, and may not be safe for" + echo " production use." +fi diff --git a/contrib/lax_der_parsing.h b/contrib/lax_der_parsing.h index 034a38e6a0..37c8c691f2 100644 --- a/contrib/lax_der_parsing.h +++ b/contrib/lax_der_parsing.h @@ -67,8 +67,8 @@ extern "C" { * * Returns: 1 when the signature could be parsed, 0 otherwise. * Args: ctx: a secp256k1 context object - * Out: sig: a pointer to a signature object - * In: input: a pointer to the signature to be parsed + * Out: sig: pointer to a signature object + * In: input: pointer to the signature to be parsed * inputlen: the length of the array pointed to be input * * This function will accept any valid DER encoded signature, even if the diff --git a/doc/ellswift.md b/doc/ellswift.md new file mode 100644 index 0000000000..9d60e6be0b --- /dev/null +++ b/doc/ellswift.md @@ -0,0 +1,483 @@ +# ElligatorSwift for secp256k1 explained + +In this document we explain how the `ellswift` module implementation is related to the +construction in the +["SwiftEC: Shallue–van de Woestijne Indifferentiable Function To Elliptic Curves"](https://eprint.iacr.org/2022/759) +paper by Jorge Chávez-Saab, Francisco Rodríguez-Henríquez, and Mehdi Tibouchi. + +* [1. Introduction](#1-introduction) +* [2. The decoding function](#2-the-decoding-function) + + [2.1 Decoding for `secp256k1`](#21-decoding-for-secp256k1) +* [3. The encoding function](#3-the-encoding-function) + + [3.1 Switching to *v, w* coordinates](#31-switching-to-v-w-coordinates) + + [3.2 Avoiding computing all inverses](#32-avoiding-computing-all-inverses) + + [3.3 Finding the inverse](#33-finding-the-inverse) + + [3.4 Dealing with special cases](#34-dealing-with-special-cases) + + [3.5 Encoding for `secp256k1`](#35-encoding-for-secp256k1) +* [4. Encoding and decoding full *(x, y)* coordinates](#4-encoding-and-decoding-full-x-y-coordinates) + + [4.1 Full *(x, y)* coordinates for `secp256k1`](#41-full-x-y-coordinates-for-secp256k1) + +## 1. Introduction + +The `ellswift` module effectively introduces a new 64-byte public key format, with the property +that (uniformly random) public keys can be encoded as 64-byte arrays which are computationally +indistinguishable from uniform byte arrays. The module provides functions to convert public keys +from and to this format, as well as convenience functions for key generation and ECDH that operate +directly on ellswift-encoded keys. + +The encoding consists of the concatenation of two (32-byte big endian) encoded field elements $u$ +and $t.$ Together they encode an x-coordinate on the curve $x$, or (see further) a full point $(x, y)$ on +the curve. + +**Decoding** consists of decoding the field elements $u$ and $t$ (values above the field size $p$ +are taken modulo $p$), and then evaluating $F_u(t)$, which for every $u$ and $t$ results in a valid +x-coordinate on the curve. The functions $F_u$ will be defined in [Section 2](#2-the-decoding-function). + +**Encoding** a given $x$ coordinate is conceptually done as follows: +* Loop: + * Pick a uniformly random field element $u.$ + * Compute the set $L = F_u^{-1}(x)$ of $t$ values for which $F_u(t) = x$, which may have up to *8* elements. + * With probability $1 - \dfrac{\\#L}{8}$, restart the loop. + * Select a uniformly random $t \in L$ and return $(u, t).$ + +This is the *ElligatorSwift* algorithm, here given for just x-coordinates. An extension to full +$(x, y)$ points will be given in [Section 4](#4-encoding-and-decoding-full-x-y-coordinates). +The algorithm finds a uniformly random $(u, t)$ among (almost all) those +for which $F_u(t) = x.$ Section 3.2 in the paper proves that the number of such encodings for +almost all x-coordinates on the curve (all but at most 39) is close to two times the field size +(specifically, it lies in the range $2q \pm (22\sqrt{q} + O(1))$, where $q$ is the size of the field). + +## 2. The decoding function + +First some definitions: +* $\mathbb{F}$ is the finite field of size $q$, of characteristic 5 or more, and $q \equiv 1 \mod 3.$ + * For `secp256k1`, $q = 2^{256} - 2^{32} - 977$, which satisfies that requirement. +* Let $E$ be the elliptic curve of points $(x, y) \in \mathbb{F}^2$ for which $y^2 = x^3 + ax + b$, with $a$ and $b$ + public constants, for which $\Delta_E = -16(4a^3 + 27b^2)$ is a square, and at least one of $(-b \pm \sqrt{-3 \Delta_E} / 36)/2$ is a square. + This implies that the order of $E$ is either odd, or a multiple of *4*. + If $a=0$, this condition is always fulfilled. + * For `secp256k1`, $a=0$ and $b=7.$ +* Let the function $g(x) = x^3 + ax + b$, so the $E$ curve equation is also $y^2 = g(x).$ +* Let the function $h(x) = 3x^3 + 4a.$ +* Define $V$ as the set of solutions $(x_1, x_2, x_3, z)$ to $z^2 = g(x_1)g(x_2)g(x_3).$ +* Define $S_u$ as the set of solutions $(X, Y)$ to $X^2 + h(u)Y^2 = -g(u)$ and $Y \neq 0.$ +* $P_u$ is a function from $\mathbb{F}$ to $S_u$ that will be defined below. +* $\psi_u$ is a function from $S_u$ to $V$ that will be defined below. + +**Note**: In the paper: +* $F_u$ corresponds to $F_{0,u}$ there. +* $P_u(t)$ is called $P$ there. +* All $S_u$ sets together correspond to $S$ there. +* All $\psi_u$ functions together (operating on elements of $S$) correspond to $\psi$ there. + +Note that for $V$, the left hand side of the equation $z^2$ is square, and thus the right +hand must also be square. As multiplying non-squares results in a square in $\mathbb{F}$, +out of the three right-hand side factors an even number must be non-squares. +This implies that exactly *1* or exactly *3* out of +$\\{g(x_1), g(x_2), g(x_3)\\}$ must be square, and thus that for any $(x_1,x_2,x_3,z) \in V$, +at least one of $\\{x_1, x_2, x_3\\}$ must be a valid x-coordinate on $E.$ There is one exception +to this, namely when $z=0$, but even then one of the three values is a valid x-coordinate. + +**Define** the decoding function $F_u(t)$ as: +* Let $(x_1, x_2, x_3, z) = \psi_u(P_u(t)).$ +* Return the first element $x$ of $(x_3, x_2, x_1)$ which is a valid x-coordinate on $E$ (i.e., $g(x)$ is square). + +$P_u(t) = (X(u, t), Y(u, t))$, where: + +$$ +\begin{array}{lcl} +X(u, t) & = & \left\\{\begin{array}{ll} + \dfrac{g(u) - t^2}{2t} & a = 0 \\ + \dfrac{g(u) + h(u)(Y_0(u) - X_0(u)t)^2}{X_0(u)(1 + h(u)t^2)} & a \neq 0 +\end{array}\right. \\ +Y(u, t) & = & \left\\{\begin{array}{ll} + \dfrac{X(u, t) + t}{u \sqrt{-3}} = \dfrac{g(u) + t^2}{2tu\sqrt{-3}} & a = 0 \\ + Y_0(u) + t(X(u, t) - X_0(u)) & a \neq 0 +\end{array}\right. +\end{array} +$$ + +$P_u(t)$ is defined: +* For $a=0$, unless: + * $u = 0$ or $t = 0$ (division by zero) + * $g(u) = -t^2$ (would give $Y=0$). +* For $a \neq 0$, unless: + * $X_0(u) = 0$ or $h(u)t^2 = -1$ (division by zero) + * $Y_0(u) (1 - h(u)t^2) = 2X_0(u)t$ (would give $Y=0$). + +The functions $X_0(u)$ and $Y_0(u)$ are defined in Appendix A of the paper, and depend on various properties of $E.$ + +The function $\psi_u$ is the same for all curves: $\psi_u(X, Y) = (x_1, x_2, x_3, z)$, where: + +$$ +\begin{array}{lcl} + x_1 & = & \dfrac{X}{2Y} - \dfrac{u}{2} && \\ + x_2 & = & -\dfrac{X}{2Y} - \dfrac{u}{2} && \\ + x_3 & = & u + 4Y^2 && \\ + z & = & \dfrac{g(x_3)}{2Y}(u^2 + ux_1 + x_1^2 + a) = \dfrac{-g(u)g(x_3)}{8Y^3} +\end{array} +$$ + +### 2.1 Decoding for `secp256k1` + +Put together and specialized for $a=0$ curves, decoding $(u, t)$ to an x-coordinate is: + +**Define** $F_u(t)$ as: +* Let $X = \dfrac{u^3 + b - t^2}{2t}.$ +* Let $Y = \dfrac{X + t}{u\sqrt{-3}}.$ +* Return the first $x$ in $(u + 4Y^2, \dfrac{-X}{2Y} - \dfrac{u}{2}, \dfrac{X}{2Y} - \dfrac{u}{2})$ for which $g(x)$ is square. + +To make sure that every input decodes to a valid x-coordinate, we remap the inputs in case +$P_u$ is not defined (when $u=0$, $t=0$, or $g(u) = -t^2$): + +**Define** $F_u(t)$ as: +* Let $u'=u$ if $u \neq 0$; $1$ otherwise (guaranteeing $u' \neq 0$). +* Let $t'=t$ if $t \neq 0$; $1$ otherwise (guaranteeing $t' \neq 0$). +* Let $t''=t'$ if $g(u') \neq -t'^2$; $2t'$ otherwise (guaranteeing $t'' \neq 0$ and $g(u') \neq -t''^2$). +* Let $X = \dfrac{u'^3 + b - t''^2}{2t''}.$ +* Let $Y = \dfrac{X + t''}{u'\sqrt{-3}}.$ +* Return the first $x$ in $(u' + 4Y^2, \dfrac{-X}{2Y} - \dfrac{u'}{2}, \dfrac{X}{2Y} - \dfrac{u'}{2})$ for which $x^3 + b$ is square. + +The choices here are not strictly necessary. Just returning a fixed constant in any of the undefined cases would suffice, +but the approach here is simple enough and gives fairly uniform output even in these cases. + +**Note**: in the paper these conditions result in $\infty$ as output, due to the use of projective coordinates there. +We wish to avoid the need for callers to deal with this special case. + +This is implemented in `secp256k1_ellswift_xswiftec_frac_var` (which decodes to an x-coordinate represented as a fraction), and +in `secp256k1_ellswift_xswiftec_var` (which outputs the actual x-coordinate). + +## 3. The encoding function + +To implement $F_u^{-1}(x)$, the function to find the set of inverses $t$ for which $F_u(t) = x$, we have to reverse the process: +* Find all the $(X, Y) \in S_u$ that could have given rise to $x$, through the $x_1$, $x_2$, or $x_3$ formulas in $\psi_u.$ +* Map those $(X, Y)$ solutions to $t$ values using $P_u^{-1}(X, Y).$ +* For each of the found $t$ values, verify that $F_u(t) = x.$ +* Return the remaining $t$ values. + +The function $P_u^{-1}$, which finds $t$ given $(X, Y) \in S_u$, is significantly simpler than $P_u:$ + +$$ +P_u^{-1}(X, Y) = \left\\{\begin{array}{ll} +Yu\sqrt{-3} - X & a = 0 \\ +\dfrac{Y-Y_0(u)}{X-X_0(u)} & a \neq 0 \land X \neq X_0(u) \\ +\dfrac{-X_0(u)}{h(u)Y_0(u)} & a \neq 0 \land X = X_0(u) \land Y = Y_0(u) +\end{array}\right. +$$ + +The third step above, verifying that $F_u(t) = x$, is necessary because for the $(X, Y)$ values found through the $x_1$ and $x_2$ expressions, +it is possible that decoding through $\psi_u(X, Y)$ yields a valid $x_3$ on the curve, which would take precedence over the +$x_1$ or $x_2$ decoding. These $(X, Y)$ solutions must be rejected. + +Since we know that exactly one or exactly three out of $\\{x_1, x_2, x_3\\}$ are valid x-coordinates for any $t$, +the case where either $x_1$ or $x_2$ is valid and in addition also $x_3$ is valid must mean that all three are valid. +This means that instead of checking whether $x_3$ is on the curve, it is also possible to check whether the other one out of +$x_1$ and $x_2$ is on the curve. This is significantly simpler, as it turns out. + +Observe that $\psi_u$ guarantees that $x_1 + x_2 = -u.$ So given either $x = x_1$ or $x = x_2$, the other one of the two can be computed as +$-u - x.$ Thus, when encoding $x$ through the $x_1$ or $x_2$ expressions, one can simply check whether $g(-u-x)$ is a square, +and if so, not include the corresponding $t$ values in the returned set. As this does not need $X$, $Y$, or $t$, this condition can be determined +before those values are computed. + +It is not possible that an encoding found through the $x_1$ expression decodes to a different valid x-coordinate using $x_2$ (which would +take precedence), for the same reason: if both $x_1$ and $x_2$ decodings were valid, $x_3$ would be valid as well, and thus take +precedence over both. Because of this, the $g(-u-x)$ being square test for $x_1$ and $x_2$ is the only test necessary to guarantee the found $t$ +values round-trip back to the input $x$ correctly. This is the reason for choosing the $(x_3, x_2, x_1)$ precedence order in the decoder; +any order which does not place $x_3$ first requires more complicated round-trip checks in the encoder. + +### 3.1 Switching to *v, w* coordinates + +Before working out the formulas for all this, we switch to different variables for $S_u.$ Let $v = (X/Y - u)/2$, and +$w = 2Y.$ Or in the other direction, $X = w(u/2 + v)$ and $Y = w/2:$ +* $S_u'$ becomes the set of $(v, w)$ for which $w^2 (u^2 + uv + v^2 + a) = -g(u)$ and $w \neq 0.$ +* For $a=0$ curves, $P_u^{-1}$ can be stated for $(v,w)$ as $P_u^{'-1}(v, w) = w\left(\frac{\sqrt{-3}-1}{2}u - v\right).$ +* $\psi_u$ can be stated for $(v, w)$ as $\psi_u'(v, w) = (x_1, x_2, x_3, z)$, where + +$$ +\begin{array}{lcl} + x_1 & = & v \\ + x_2 & = & -u - v \\ + x_3 & = & u + w^2 \\ + z & = & \dfrac{g(x_3)}{w}(u^2 + uv + v^2 + a) = \dfrac{-g(u)g(x_3)}{w^3} +\end{array} +$$ + +We can now write the expressions for finding $(v, w)$ given $x$ explicitly, by solving each of the $\\{x_1, x_2, x_3\\}$ +expressions for $v$ or $w$, and using the $S_u'$ equation to find the other variable: +* Assuming $x = x_1$, we find $v = x$ and $w = \pm\sqrt{-g(u)/(u^2 + uv + v^2 + a)}$ (two solutions). +* Assuming $x = x_2$, we find $v = -u-x$ and $w = \pm\sqrt{-g(u)/(u^2 + uv + v^2 + a)}$ (two solutions). +* Assuming $x = x_3$, we find $w = \pm\sqrt{x-u}$ and $v = -u/2 \pm \sqrt{-w^2(4g(u) + w^2h(u))}/(2w^2)$ (four solutions). + +### 3.2 Avoiding computing all inverses + +The *ElligatorSwift* algorithm as stated in Section 1 requires the computation of $L = F_u^{-1}(x)$ (the +set of all $t$ such that $(u, t)$ decode to $x$) in full. This is unnecessary. + +Observe that the procedure of restarting with probability $(1 - \frac{\\#L}{8})$ and otherwise returning a +uniformly random element from $L$ is actually equivalent to always padding $L$ with $\bot$ values up to length 8, +picking a uniformly random element from that, restarting whenever $\bot$ is picked: + +**Define** *ElligatorSwift(x)* as: +* Loop: + * Pick a uniformly random field element $u.$ + * Compute the set $L = F_u^{-1}(x).$ + * Let $T$ be the 8-element vector consisting of the elements of $L$, plus $8 - \\#L$ times $\\{\bot\\}.$ + * Select a uniformly random $t \in T.$ + * If $t \neq \bot$, return $(u, t)$; restart loop otherwise. + +Now notice that the order of elements in $T$ does not matter, as all we do is pick a uniformly +random element in it, so we do not need to have all $\bot$ values at the end. +As we have 8 distinct formulas for finding $(v, w)$ (taking the variants due to $\pm$ into account), +we can associate every index in $T$ with exactly one of those formulas, making sure that: +* Formulas that yield no solutions (due to division by zero or non-existing square roots) or invalid solutions are made to return $\bot.$ +* For the $x_1$ and $x_2$ cases, if $g(-u-x)$ is a square, $\bot$ is returned instead (the round-trip check). +* In case multiple formulas would return the same non- $\bot$ result, all but one of those must be turned into $\bot$ to avoid biasing those. + +The last condition above only occurs with negligible probability for cryptographically-sized curves, but is interesting +to take into account as it allows exhaustive testing in small groups. See [Section 3.4](#34-dealing-with-special-cases) +for an analysis of all the negligible cases. + +If we define $T = (G_{0,u}(x), G_{1,u}(x), \ldots, G_{7,u}(x))$, with each $G_{i,u}$ matching one of the formulas, +the loop can be simplified to only compute one of the inverses instead of all of them: + +**Define** *ElligatorSwift(x)* as: +* Loop: + * Pick a uniformly random field element $u.$ + * Pick a uniformly random integer $c$ in $[0,8).$ + * Let $t = G_{c,u}(x).$ + * If $t \neq \bot$, return $(u, t)$; restart loop otherwise. + +This is implemented in `secp256k1_ellswift_xelligatorswift_var`. + +### 3.3 Finding the inverse + +To implement $G_{c,u}$, we map $c=0$ to the $x_1$ formula, $c=1$ to the $x_2$ formula, and $c=2$ and $c=3$ to the $x_3$ formula. +Those are then repeated as $c=4$ through $c=7$ for the other sign of $w$ (noting that in each formula, $w$ is a square root of some expression). +Ignoring the negligible cases, we get: + +**Define** $G_{c,u}(x)$ as: +* If $c \in \\{0, 1, 4, 5\\}$ (for $x_1$ and $x_2$ formulas): + * If $g(-u-x)$ is square, return $\bot$ (as $x_3$ would be valid and take precedence). + * If $c \in \\{0, 4\\}$ (the $x_1$ formula) let $v = x$, otherwise let $v = -u-x$ (the $x_2$ formula) + * Let $s = -g(u)/(u^2 + uv + v^2 + a)$ (using $s = w^2$ in what follows). +* Otherwise, when $c \in \\{2, 3, 6, 7\\}$ (for $x_3$ formulas): + * Let $s = x-u.$ + * Let $r = \sqrt{-s(4g(u) + sh(u))}.$ + * Let $v = (r/s - u)/2$ if $c \in \\{3, 7\\}$; $(-r/s - u)/2$ otherwise. +* Let $w = \sqrt{s}.$ +* Depending on $c:$ + * If $c \in \\{0, 1, 2, 3\\}:$ return $P_u^{'-1}(v, w).$ + * If $c \in \\{4, 5, 6, 7\\}:$ return $P_u^{'-1}(v, -w).$ + +Whenever a square root of a non-square is taken, $\bot$ is returned; for both square roots this happens with roughly +50% on random inputs. Similarly, when a division by 0 would occur, $\bot$ is returned as well; this will only happen +with negligible probability. A division by 0 in the first branch in fact cannot occur at all, because $u^2 + uv + v^2 + a = 0$ +implies $g(-u-x) = g(x)$ which would mean the $g(-u-x)$ is square condition has triggered +and $\bot$ would have been returned already. + +**Note**: In the paper, the $case$ variable corresponds roughly to the $c$ above, but only takes on 4 possible values (1 to 4). +The conditional negation of $w$ at the end is done randomly, which is equivalent, but makes testing harder. We choose to +have the $G_{c,u}$ be deterministic, and capture all choices in $c.$ + +Now observe that the $c \in \\{1, 5\\}$ and $c \in \\{3, 7\\}$ conditions effectively perform the same $v \rightarrow -u-v$ +transformation. Furthermore, that transformation has no effect on $s$ in the first branch +as $u^2 + ux + x^2 + a = u^2 + u(-u-x) + (-u-x)^2 + a.$ Thus we can extract it out and move it down: + +**Define** $G_{c,u}(x)$ as: +* If $c \in \\{0, 1, 4, 5\\}:$ + * If $g(-u-x)$ is square, return $\bot.$ + * Let $s = -g(u)/(u^2 + ux + x^2 + a).$ + * Let $v = x.$ +* Otherwise, when $c \in \\{2, 3, 6, 7\\}:$ + * Let $s = x-u.$ + * Let $r = \sqrt{-s(4g(u) + sh(u))}.$ + * Let $v = (r/s - u)/2.$ +* Let $w = \sqrt{s}.$ +* Depending on $c:$ + * If $c \in \\{0, 2\\}:$ return $P_u^{'-1}(v, w).$ + * If $c \in \\{1, 3\\}:$ return $P_u^{'-1}(-u-v, w).$ + * If $c \in \\{4, 6\\}:$ return $P_u^{'-1}(v, -w).$ + * If $c \in \\{5, 7\\}:$ return $P_u^{'-1}(-u-v, -w).$ + +This shows there will always be exactly 0, 4, or 8 $t$ values for a given $(u, x)$ input. +There can be 0, 1, or 2 $(v, w)$ pairs before invoking $P_u^{'-1}$, and each results in 4 distinct $t$ values. + +### 3.4 Dealing with special cases + +As mentioned before there are a few cases to deal with which only happen in a negligibly small subset of inputs. +For cryptographically sized fields, if only random inputs are going to be considered, it is unnecessary to deal with these. Still, for completeness +we analyse them here. They generally fall into two categories: cases in which the encoder would produce $t$ values that +do not decode back to $x$ (or at least cannot guarantee that they do), and cases in which the encoder might produce the same +$t$ value for multiple $c$ inputs (thereby biasing that encoding): + +* In the branch for $x_1$ and $x_2$ (where $c \in \\{0, 1, 4, 5\\}$): + * When $g(u) = 0$, we would have $s=w=Y=0$, which is not on $S_u.$ This is only possible on even-ordered curves. + Excluding this also removes the one condition under which the simplified check for $x_3$ on the curve + fails (namely when $g(x_1)=g(x_2)=0$ but $g(x_3)$ is not square). + This does exclude some valid encodings: when both $g(u)=0$ and $u^2+ux+x^2+a=0$ (also implying $g(x)=0$), + the $S_u'$ equation degenerates to $0 = 0$, and many valid $t$ values may exist. Yet, these cannot be targeted uniformly by the + encoder anyway as there will generally be more than 8. + * When $g(x) = 0$, the same $t$ would be produced as in the $x_3$ branch (where $c \in \\{2, 3, 6, 7\\}$) which we give precedence + as it can deal with $g(u)=0$. + This is again only possible on even-ordered curves. +* In the branch for $x_3$ (where $c \in \\{2, 3, 6, 7\\}$): + * When $s=0$, a division by zero would occur. + * When $v = -u-v$ and $c \in \\{3, 7\\}$, the same $t$ would be returned as in the $c \in \\{2, 6\\}$ cases. + It is equivalent to checking whether $r=0$. + This cannot occur in the $x_1$ or $x_2$ branches, as it would trigger the $g(-u-x)$ is square condition. + A similar concern for $w = -w$ does not exist, as $w=0$ is already impossible in both branches: in the first + it requires $g(u)=0$ which is already outlawed on even-ordered curves and impossible on others; in the second it would trigger division by zero. +* Curve-specific special cases also exist that need to be rejected, because they result in $(u,t)$ which is invalid to the decoder, or because of division by zero in the encoder: + * For $a=0$ curves, when $u=0$ or when $t=0$. The latter can only be reached by the encoder when $g(u)=0$, which requires an even-ordered curve. + * For $a \neq 0$ curves, when $X_0(u)=0$, when $h(u)t^2 = -1$, or when $w(u + 2v) = 2X_0(u)$ while also either $w \neq 2Y_0(u)$ or $h(u)=0$. + +**Define** a version of $G_{c,u}(x)$ which deals with all these cases: +* If $a=0$ and $u=0$, return $\bot.$ +* If $a \neq 0$ and $X_0(u)=0$, return $\bot.$ +* If $c \in \\{0, 1, 4, 5\\}:$ + * If $g(u) = 0$ or $g(x) = 0$, return $\bot$ (even curves only). + * If $g(-u-x)$ is square, return $\bot.$ + * Let $s = -g(u)/(u^2 + ux + x^2 + a)$ (cannot cause division by zero). + * Let $v = x.$ +* Otherwise, when $c \in \\{2, 3, 6, 7\\}:$ + * Let $s = x-u.$ + * Let $r = \sqrt{-s(4g(u) + sh(u))}$; return $\bot$ if not square. + * If $c \in \\{3, 7\\}$ and $r=0$, return $\bot.$ + * If $s = 0$, return $\bot.$ + * Let $v = (r/s - u)/2.$ +* Let $w = \sqrt{s}$; return $\bot$ if not square. +* If $a \neq 0$ and $w(u+2v) = 2X_0(u)$ and either $w \neq 2Y_0(u)$ or $h(u) = 0$, return $\bot.$ +* Depending on $c:$ + * If $c \in \\{0, 2\\}$, let $t = P_u^{'-1}(v, w).$ + * If $c \in \\{1, 3\\}$, let $t = P_u^{'-1}(-u-v, w).$ + * If $c \in \\{4, 6\\}$, let $t = P_u^{'-1}(v, -w).$ + * If $c \in \\{5, 7\\}$, let $t = P_u^{'-1}(-u-v, -w).$ +* If $a=0$ and $t=0$, return $\bot$ (even curves only). +* If $a \neq 0$ and $h(u)t^2 = -1$, return $\bot.$ +* Return $t.$ + +Given any $u$, using this algorithm over all $x$ and $c$ values, every $t$ value will be reached exactly once, +for an $x$ for which $F_u(t) = x$ holds, except for these cases that will not be reached: +* All cases where $P_u(t)$ is not defined: + * For $a=0$ curves, when $u=0$, $t=0$, or $g(u) = -t^2.$ + * For $a \neq 0$ curves, when $h(u)t^2 = -1$, $X_0(u) = 0$, or $Y_0(u) (1 - h(u) t^2) = 2X_0(u)t.$ +* When $g(u)=0$, the potentially many $t$ values that decode to an $x$ satisfying $g(x)=0$ using the $x_2$ formula. These were excluded by the $g(u)=0$ condition in the $c \in \\{0, 1, 4, 5\\}$ branch. + +These cases form a negligible subset of all $(u, t)$ for cryptographically sized curves. + +### 3.5 Encoding for `secp256k1` + +Specialized for odd-ordered $a=0$ curves: + +**Define** $G_{c,u}(x)$ as: +* If $u=0$, return $\bot.$ +* If $c \in \\{0, 1, 4, 5\\}:$ + * If $(-u-x)^3 + b$ is square, return $\bot$ + * Let $s = -(u^3 + b)/(u^2 + ux + x^2)$ (cannot cause division by 0). + * Let $v = x.$ +* Otherwise, when $c \in \\{2, 3, 6, 7\\}:$ + * Let $s = x-u.$ + * Let $r = \sqrt{-s(4(u^3 + b) + 3su^2)}$; return $\bot$ if not square. + * If $c \in \\{3, 7\\}$ and $r=0$, return $\bot.$ + * If $s = 0$, return $\bot.$ + * Let $v = (r/s - u)/2.$ +* Let $w = \sqrt{s}$; return $\bot$ if not square. +* Depending on $c:$ + * If $c \in \\{0, 2\\}:$ return $w(\frac{\sqrt{-3}-1}{2}u - v).$ + * If $c \in \\{1, 3\\}:$ return $w(\frac{\sqrt{-3}+1}{2}u + v).$ + * If $c \in \\{4, 6\\}:$ return $w(\frac{-\sqrt{-3}+1}{2}u + v).$ + * If $c \in \\{5, 7\\}:$ return $w(\frac{-\sqrt{-3}-1}{2}u - v).$ + +This is implemented in `secp256k1_ellswift_xswiftec_inv_var`. + +And the x-only ElligatorSwift encoding algorithm is still: + +**Define** *ElligatorSwift(x)* as: +* Loop: + * Pick a uniformly random field element $u.$ + * Pick a uniformly random integer $c$ in $[0,8).$ + * Let $t = G_{c,u}(x).$ + * If $t \neq \bot$, return $(u, t)$; restart loop otherwise. + +Note that this logic does not take the remapped $u=0$, $t=0$, and $g(u) = -t^2$ cases into account; it just avoids them. +While it is not impossible to make the encoder target them, this would increase the maximum number of $t$ values for a given $(u, x)$ +combination beyond 8, and thereby slow down the ElligatorSwift loop proportionally, for a negligible gain in uniformity. + +## 4. Encoding and decoding full *(x, y)* coordinates + +So far we have only addressed encoding and decoding x-coordinates, but in some cases an encoding +for full points with $(x, y)$ coordinates is desirable. It is possible to encode this information +in $t$ as well. + +Note that for any $(X, Y) \in S_u$, $(\pm X, \pm Y)$ are all on $S_u.$ Moreover, all of these are +mapped to the same x-coordinate. Negating $X$ or negating $Y$ just results in $x_1$ and $x_2$ +being swapped, and does not affect $x_3.$ This will not change the outcome x-coordinate as the order +of $x_1$ and $x_2$ only matters if both were to be valid, and in that case $x_3$ would be used instead. + +Still, these four $(X, Y)$ combinations all correspond to distinct $t$ values, so we can encode +the sign of the y-coordinate in the sign of $X$ or the sign of $Y.$ They correspond to the +four distinct $P_u^{'-1}$ calls in the definition of $G_{u,c}.$ + +**Note**: In the paper, the sign of the y coordinate is encoded in a separately-coded bit. + +To encode the sign of $y$ in the sign of $Y:$ + +**Define** *Decode(u, t)* for full $(x, y)$ as: +* Let $(X, Y) = P_u(t).$ +* Let $x$ be the first value in $(u + 4Y^2, \frac{-X}{2Y} - \frac{u}{2}, \frac{X}{2Y} - \frac{u}{2})$ for which $g(x)$ is square. +* Let $y = \sqrt{g(x)}.$ +* If $sign(y) = sign(Y)$, return $(x, y)$; otherwise return $(x, -y).$ + +And encoding would be done using a $G_{c,u}(x, y)$ function defined as: + +**Define** $G_{c,u}(x, y)$ as: +* If $c \in \\{0, 1\\}:$ + * If $g(u) = 0$ or $g(x) = 0$, return $\bot$ (even curves only). + * If $g(-u-x)$ is square, return $\bot.$ + * Let $s = -g(u)/(u^2 + ux + x^2 + a)$ (cannot cause division by zero). + * Let $v = x.$ +* Otherwise, when $c \in \\{2, 3\\}:$ + * Let $s = x-u.$ + * Let $r = \sqrt{-s(4g(u) + sh(u))}$; return $\bot$ if not square. + * If $c = 3$ and $r = 0$, return $\bot.$ + * Let $v = (r/s - u)/2.$ +* Let $w = \sqrt{s}$; return $\bot$ if not square. +* Let $w' = w$ if $sign(w/2) = sign(y)$; $-w$ otherwise. +* Depending on $c:$ + * If $c \in \\{0, 2\\}:$ return $P_u^{'-1}(v, w').$ + * If $c \in \\{1, 3\\}:$ return $P_u^{'-1}(-u-v, w').$ + +Note that $c$ now only ranges $[0,4)$, as the sign of $w'$ is decided based on that of $y$, rather than on $c.$ +This change makes some valid encodings unreachable: when $y = 0$ and $sign(Y) \neq sign(0)$. + +In the above logic, $sign$ can be implemented in several ways, such as parity of the integer representation +of the input field element (for prime-sized fields) or the quadratic residuosity (for fields where +$-1$ is not square). The choice does not matter, as long as it only takes on two possible values, and for $x \neq 0$ it holds that $sign(x) \neq sign(-x)$. + +### 4.1 Full *(x, y)* coordinates for `secp256k1` + +For $a=0$ curves, there is another option. Note that for those, +the $P_u(t)$ function translates negations of $t$ to negations of (both) $X$ and $Y.$ Thus, we can use $sign(t)$ to +encode the y-coordinate directly. Combined with the earlier remapping to guarantee all inputs land on the curve, we get +as decoder: + +**Define** *Decode(u, t)* as: +* Let $u'=u$ if $u \neq 0$; $1$ otherwise. +* Let $t'=t$ if $t \neq 0$; $1$ otherwise. +* Let $t''=t'$ if $u'^3 + b + t'^2 \neq 0$; $2t'$ otherwise. +* Let $X = \dfrac{u'^3 + b - t''^2}{2t''}.$ +* Let $Y = \dfrac{X + t''}{u'\sqrt{-3}}.$ +* Let $x$ be the first element of $(u' + 4Y^2, \frac{-X}{2Y} - \frac{u'}{2}, \frac{X}{2Y} - \frac{u'}{2})$ for which $g(x)$ is square. +* Let $y = \sqrt{g(x)}.$ +* Return $(x, y)$ if $sign(y) = sign(t)$; $(x, -y)$ otherwise. + +This is implemented in `secp256k1_ellswift_swiftec_var`. The used $sign(x)$ function is the parity of $x$ when represented as in integer in $[0,q).$ + +The corresponding encoder would invoke the x-only one, but negating the output $t$ if $sign(t) \neq sign(y).$ + +This is implemented in `secp256k1_ellswift_elligatorswift_var`. + +Note that this is only intended for encoding points where both the x-coordinate and y-coordinate are unpredictable. When encoding x-only points +where the y-coordinate is implicitly even (or implicitly square, or implicitly in $[0,q/2]$), the encoder in +[Section 3.5](#35-encoding-for-secp256k1) must be used, or a bias is reintroduced that undoes all the benefit of using ElligatorSwift +in the first place. diff --git a/doc/musig.md b/doc/musig.md new file mode 100644 index 0000000000..ae21f9b131 --- /dev/null +++ b/doc/musig.md @@ -0,0 +1,54 @@ +Notes on the musig module API +=========================== + +The following sections contain additional notes on the API of the musig module (`include/secp256k1_musig.h`). +A usage example can be found in `examples/musig.c`. + +## API misuse + +The musig API is designed with a focus on misuse resistance. +However, due to the interactive nature of the MuSig protocol, there are additional failure modes that are not present in regular (single-party) Schnorr signature creation. +While the results can be catastrophic (e.g. leaking of the secret key), it is unfortunately not possible for the musig implementation to prevent all such failure modes. + +Therefore, users of the musig module must take great care to make sure of the following: + +1. A unique nonce per signing session is generated in `secp256k1_musig_nonce_gen`. + See the corresponding comment in `include/secp256k1_musig.h` for how to ensure that. +2. The `secp256k1_musig_secnonce` structure is never copied or serialized. + See also the comment on `secp256k1_musig_secnonce` in `include/secp256k1_musig.h`. +3. Opaque data structures are never written to or read from directly. + Instead, only the provided accessor functions are used. + +## Key Aggregation and (Taproot) Tweaking + +Given a set of public keys, the aggregate public key is computed with `secp256k1_musig_pubkey_agg`. +A plain tweak can be added to the resulting public key with `secp256k1_ec_pubkey_tweak_add` by setting the `tweak32` argument to the hash defined in BIP 32. Similarly, a Taproot tweak can be added with `secp256k1_xonly_pubkey_tweak_add` by setting the `tweak32` argument to the TapTweak hash defined in BIP 341. +Both types of tweaking can be combined and invoked multiple times if the specific application requires it. + +## Signing + +This is covered by `examples/musig.c`. +Essentially, the protocol proceeds in the following steps: + +1. Generate a keypair with `secp256k1_keypair_create` and obtain the public key with `secp256k1_keypair_pub`. +2. Call `secp256k1_musig_pubkey_agg` with the pubkeys of all participants. +3. Optionally add a (Taproot) tweak with `secp256k1_musig_pubkey_xonly_tweak_add` and a plain tweak with `secp256k1_musig_pubkey_ec_tweak_add`. +4. Generate a pair of secret and public nonce with `secp256k1_musig_nonce_gen` and send the public nonce to the other signers. +5. Someone (not necessarily the signer) aggregates the public nonces with `secp256k1_musig_nonce_agg` and sends it to the signers. +6. Process the aggregate nonce with `secp256k1_musig_nonce_process`. +7. Create a partial signature with `secp256k1_musig_partial_sign`. +8. Verify the partial signatures (optional in some scenarios) with `secp256k1_musig_partial_sig_verify`. +9. Someone (not necessarily the signer) obtains all partial signatures and aggregates them into the final Schnorr signature using `secp256k1_musig_partial_sig_agg`. + +The aggregate signature can be verified with `secp256k1_schnorrsig_verify`. + +Steps 1 through 5 above can occur before or after the signers are aware of the message to be signed. +Whenever possible, it is recommended to generate the nonces only after the message is known. +This provides enhanced defense-in-depth measures, protecting against potential API misuse in certain scenarios. +However, it does require two rounds of communication during the signing process. +The alternative, generating the nonces in a pre-processing step before the message is known, eliminates these additional protective measures but allows for non-interactive signing. +Similarly, the API supports an alternative protocol flow where generating the aggregate key (steps 1 to 3) is allowed to happen after exchanging nonces (steps 4 to 5). + +## Verification + +A participant who wants to verify the partial signatures, but does not sign itself may do so using the above instructions except that the verifier skips steps 1, 4 and 7. diff --git a/doc/release-process.md b/doc/release-process.md index b522f89657..a64bae0f0d 100644 --- a/doc/release-process.md +++ b/doc/release-process.md @@ -1,4 +1,4 @@ -# Release Process +# Release process This document outlines the process for releasing versions of the form `$MAJOR.$MINOR.$PATCH`. @@ -12,41 +12,83 @@ It is best if the maintainers are present during the release, so they can help e This process also assumes that there will be no minor releases for old major releases. +We aim to cut a regular release every 3-4 months, approximately twice as frequent as major Bitcoin Core releases. Every second release should be published one month before the feature freeze of the next major Bitcoin Core release, allowing sufficient time to update the library in Core. + +## Sanity checks +Perform these checks when reviewing the release PR (see below): + +1. Ensure `make distcheck` doesn't fail. + ```shell + ./autogen.sh && ./configure --enable-dev-mode && make distcheck + ``` +2. Check installation with autotools: + ```shell + dir=$(mktemp -d) + ./autogen.sh && ./configure --prefix=$dir && make clean && make install && ls -RlAh $dir + gcc -o ecdsa examples/ecdsa.c $(PKG_CONFIG_PATH=$dir/lib/pkgconfig pkg-config --cflags --libs libsecp256k1) -Wl,-rpath,"$dir/lib" && ./ecdsa + ``` +3. Check installation with CMake: + ```shell + dir=$(mktemp -d) + build=$(mktemp -d) + cmake -B $build -DCMAKE_INSTALL_PREFIX=$dir && cmake --build $build && cmake --install $build && ls -RlAh $dir + gcc -o ecdsa examples/ecdsa.c -I $dir/include -L $dir/lib*/ -l secp256k1 -Wl,-rpath,"$dir/lib",-rpath,"$dir/lib64" && ./ecdsa + ``` +4. Use the [`check-abi.sh`](/tools/check-abi.sh) tool to verify that there are no unexpected ABI incompatibilities and that the version number and the release notes accurately reflect all potential ABI changes. To run this tool, the `abi-dumper` and `abi-compliance-checker` packages are required. + ```shell + tools/check-abi.sh + ``` + ## Regular release 1. Open a PR to the master branch with a commit (using message `"release: prepare for $MAJOR.$MINOR.$PATCH"`, for example) that - * finalizes the release notes in [CHANGELOG.md](../CHANGELOG.md) (make sure to include an entry for `### ABI Compatibility`) and - * updates `_PKG_VERSION_*`, `_LIB_VERSION_*`, and sets `_PKG_VERSION_IS_RELEASE` to `true` in `configure.ac`. -2. After the PR is merged, tag the commit and push it: + * finalizes the release notes in [CHANGELOG.md](../CHANGELOG.md) by + * adding a section for the release (make sure that the version number is a link to a diff between the previous and new version), + * removing the `[Unreleased]` section header, + * ensuring that the release notes are not missing entries (check the `needs-changelog` label on github), and + * including an entry for `### ABI Compatibility` if it doesn't exist, + * sets `_PKG_VERSION_IS_RELEASE` to `true` in `configure.ac`, and, + * if this is not a patch release, + * updates `_PKG_VERSION_*` and `_LIB_VERSION_*` in `configure.ac`, and + * updates `project(libsecp256k1 VERSION ...)` and `${PROJECT_NAME}_LIB_VERSION_*` in `CMakeLists.txt`. +2. Perform the [sanity checks](#sanity-checks) on the PR branch. +3. After the PR is merged, tag the commit, and push the tag: ``` RELEASE_COMMIT= git tag -s v$MAJOR.$MINOR.$PATCH -m "libsecp256k1 $MAJOR.$MINOR.$PATCH" $RELEASE_COMMIT git push git@github.com:bitcoin-core/secp256k1.git v$MAJOR.$MINOR.$PATCH ``` -3. Open a PR to the master branch with a commit (using message `"release cleanup: bump version after $MAJOR.$MINOR.$PATCH"`, for example) that sets `_PKG_VERSION_IS_RELEASE` to `false` and `_PKG_VERSION_PATCH` to `$PATCH + 1` and increases `_LIB_VERSION_REVISION`. If other maintainers are not present to approve the PR, it can be merged without ACKs. -4. Create a new GitHub release with a link to the corresponding entry in [CHANGELOG.md](../CHANGELOG.md). +4. Open a PR to the master branch with a commit (using message `"release cleanup: bump version after $MAJOR.$MINOR.$PATCH"`, for example) that + * sets `_PKG_VERSION_IS_RELEASE` to `false` and increments `_PKG_VERSION_PATCH` and `_LIB_VERSION_REVISION` in `configure.ac`, + * increments the `$PATCH` component of `project(libsecp256k1 VERSION ...)` and `${PROJECT_NAME}_LIB_VERSION_REVISION` in `CMakeLists.txt`, and + * adds an `[Unreleased]` section header to the [CHANGELOG.md](../CHANGELOG.md). + + If other maintainers are not present to approve the PR, it can be merged without ACKs. +5. Create a new GitHub release with a link to the corresponding entry in [CHANGELOG.md](../CHANGELOG.md). +6. Send an announcement email to the bitcoin-dev mailing list. ## Maintenance release -Note that bugfixes only need to be backported to releases for which no compatible release without the bug exists. +Note that bug fixes need to be backported only to releases for which no compatible release without the bug exists. -1. If `$PATCH = 1`, create maintenance branch `$MAJOR.$MINOR`: +1. If there's no maintenance branch `$MAJOR.$MINOR`, create one: ``` - git checkout -b $MAJOR.$MINOR v$MAJOR.$MINOR.0 + git checkout -b $MAJOR.$MINOR v$MAJOR.$MINOR.$((PATCH - 1)) git push git@github.com:bitcoin-core/secp256k1.git $MAJOR.$MINOR ``` 2. Open a pull request to the `$MAJOR.$MINOR` branch that - * includes the bugfixes, - * finalizes the release notes, - * bumps `_PKG_VERSION_PATCH` and `_LIB_VERSION_REVISION` in `configure.ac` (with commit message `"release: update PKG_ and LIB_VERSION for $MAJOR.$MINOR.$PATCH"`, for example). -3. After the PRs are merged, update the release branch and tag the commit: + * includes the bug fixes, + * finalizes the release notes similar to a regular release, + * increments `_PKG_VERSION_PATCH` and `_LIB_VERSION_REVISION` in `configure.ac` + and the `$PATCH` component of `project(libsecp256k1 VERSION ...)` and `${PROJECT_NAME}_LIB_VERSION_REVISION` in `CMakeLists.txt` + (with commit message `"release: bump versions for $MAJOR.$MINOR.$PATCH"`, for example). +3. Perform the [sanity checks](#sanity-checks) on the PR branch. +4. After the PRs are merged, update the release branch, tag the commit, and push the tag: ``` git checkout $MAJOR.$MINOR && git pull git tag -s v$MAJOR.$MINOR.$PATCH -m "libsecp256k1 $MAJOR.$MINOR.$PATCH" - ``` -4. Push tag: - ``` git push git@github.com:bitcoin-core/secp256k1.git v$MAJOR.$MINOR.$PATCH ``` -5. Create a new GitHub release with a link to the corresponding entry in [CHANGELOG.md](../CHANGELOG.md). -6. Open PR to the master branch that includes a commit (with commit message `"release notes: add $MAJOR.$MINOR.$PATCH"`, for example) that adds release notes to [CHANGELOG.md](../CHANGELOG.md). +6. Create a new GitHub release with a link to the corresponding entry in [CHANGELOG.md](../CHANGELOG.md). +7. Send an announcement email to the bitcoin-dev mailing list. +8. Open PR to the master branch that includes a commit (with commit message `"release notes: add $MAJOR.$MINOR.$PATCH"`, for example) that adds release notes to [CHANGELOG.md](../CHANGELOG.md). diff --git a/examples/CMakeLists.txt b/examples/CMakeLists.txt index 0884b645e0..c9da9de6be 100644 --- a/examples/CMakeLists.txt +++ b/examples/CMakeLists.txt @@ -1,34 +1,31 @@ -add_library(example INTERFACE) -target_include_directories(example INTERFACE - ${PROJECT_SOURCE_DIR}/include -) -target_compile_options(example INTERFACE - $<$:/wd4005> -) -target_link_libraries(example INTERFACE - $<$:bcrypt> -) -if(SECP256K1_BUILD_SHARED) - target_link_libraries(example INTERFACE secp256k1) -elseif(SECP256K1_BUILD_STATIC) - target_link_libraries(example INTERFACE secp256k1_static) - if(MSVC) - target_link_options(example INTERFACE /IGNORE:4217) - endif() -endif() +function(add_example name) + set(target_name ${name}_example) + add_executable(${target_name} ${name}.c) + target_include_directories(${target_name} PRIVATE + ${PROJECT_SOURCE_DIR}/include + ) + target_link_libraries(${target_name} + secp256k1 + $<$:bcrypt> + ) + set(test_name ${name}_example) + add_test(NAME secp256k1_${test_name} COMMAND ${target_name}) +endfunction() -add_executable(ecdsa_example ecdsa.c) -target_link_libraries(ecdsa_example example) -add_test(ecdsa_example ecdsa_example) +add_example(ecdsa) if(SECP256K1_ENABLE_MODULE_ECDH) - add_executable(ecdh_example ecdh.c) - target_link_libraries(ecdh_example example) - add_test(ecdh_example ecdh_example) + add_example(ecdh) endif() if(SECP256K1_ENABLE_MODULE_SCHNORRSIG) - add_executable(schnorr_example schnorr.c) - target_link_libraries(schnorr_example example) - add_test(schnorr_example schnorr_example) + add_example(schnorr) +endif() + +if(SECP256K1_ENABLE_MODULE_ELLSWIFT) + add_example(ellswift) +endif() + +if(SECP256K1_ENABLE_MODULE_MUSIG) + add_example(musig) endif() diff --git a/examples/ecdh.c b/examples/ecdh.c index 4b7b7d6154..67b8c2047a 100644 --- a/examples/ecdh.c +++ b/examples/ecdh.c @@ -8,6 +8,7 @@ *************************************************************************/ #include +#include #include #include @@ -33,7 +34,7 @@ int main(void) { secp256k1_context* ctx = secp256k1_context_create(SECP256K1_CONTEXT_NONE); if (!fill_random(randomize, sizeof(randomize))) { printf("Failed to generate randomness\n"); - return 1; + return EXIT_FAILURE; } /* Randomizing the context is recommended to protect against side-channel * leakage See `secp256k1_context_randomize` in secp256k1.h for more @@ -42,18 +43,16 @@ int main(void) { assert(return_val); /*** Key Generation ***/ - - /* If the secret key is zero or out of range (bigger than secp256k1's - * order), we try to sample a new key. Note that the probability of this - * happening is negligible. */ - while (1) { - if (!fill_random(seckey1, sizeof(seckey1)) || !fill_random(seckey2, sizeof(seckey2))) { - printf("Failed to generate randomness\n"); - return 1; - } - if (secp256k1_ec_seckey_verify(ctx, seckey1) && secp256k1_ec_seckey_verify(ctx, seckey2)) { - break; - } + if (!fill_random(seckey1, sizeof(seckey1)) || !fill_random(seckey2, sizeof(seckey2))) { + printf("Failed to generate randomness\n"); + return EXIT_FAILURE; + } + /* If the secret key is zero or out of range (greater than secp256k1's + * order), we fail. Note that the probability of this occurring is negligible + * with a properly functioning random number generator. */ + if (!secp256k1_ec_seckey_verify(ctx, seckey1) || !secp256k1_ec_seckey_verify(ctx, seckey2)) { + printf("Generated secret key is invalid. This indicates an issue with the random number generator.\n"); + return EXIT_FAILURE; } /* Public key creation using a valid context with a verified secret key should never fail */ @@ -108,7 +107,7 @@ int main(void) { /* It's best practice to try to clear secrets from memory after using them. * This is done because some bugs can allow an attacker to leak memory, for - * example through "out of bounds" array access (see Heartbleed), Or the OS + * example through "out of bounds" array access (see Heartbleed), or the OS * swapping them to disk. Hence, we overwrite the secret key buffer with zeros. * * Here we are preventing these writes from being optimized out, as any good compiler @@ -118,5 +117,5 @@ int main(void) { secure_erase(shared_secret1, sizeof(shared_secret1)); secure_erase(shared_secret2, sizeof(shared_secret2)); - return 0; + return EXIT_SUCCESS; } diff --git a/examples/ecdsa.c b/examples/ecdsa.c index d1d2b0e365..ae16c180dc 100644 --- a/examples/ecdsa.c +++ b/examples/ecdsa.c @@ -8,6 +8,7 @@ *************************************************************************/ #include +#include #include #include @@ -40,7 +41,7 @@ int main(void) { secp256k1_context* ctx = secp256k1_context_create(SECP256K1_CONTEXT_NONE); if (!fill_random(randomize, sizeof(randomize))) { printf("Failed to generate randomness\n"); - return 1; + return EXIT_FAILURE; } /* Randomizing the context is recommended to protect against side-channel * leakage See `secp256k1_context_randomize` in secp256k1.h for more @@ -49,18 +50,16 @@ int main(void) { assert(return_val); /*** Key Generation ***/ - - /* If the secret key is zero or out of range (bigger than secp256k1's - * order), we try to sample a new key. Note that the probability of this - * happening is negligible. */ - while (1) { - if (!fill_random(seckey, sizeof(seckey))) { - printf("Failed to generate randomness\n"); - return 1; - } - if (secp256k1_ec_seckey_verify(ctx, seckey)) { - break; - } + if (!fill_random(seckey, sizeof(seckey))) { + printf("Failed to generate randomness\n"); + return EXIT_FAILURE; + } + /* If the secret key is zero or out of range (greater than secp256k1's + * order), we fail. Note that the probability of this occurring is negligible + * with a properly functioning random number generator. */ + if (!secp256k1_ec_seckey_verify(ctx, seckey)) { + printf("Generated secret key is invalid. This indicates an issue with the random number generator.\n"); + return EXIT_FAILURE; } /* Public key creation using a valid context with a verified secret key should never fail */ @@ -94,13 +93,13 @@ int main(void) { /* Deserialize the signature. This will return 0 if the signature can't be parsed correctly. */ if (!secp256k1_ecdsa_signature_parse_compact(ctx, &sig, serialized_signature)) { printf("Failed parsing the signature\n"); - return 1; + return EXIT_FAILURE; } /* Deserialize the public key. This will return 0 if the public key can't be parsed correctly. */ if (!secp256k1_ec_pubkey_parse(ctx, &pubkey, compressed_pubkey, sizeof(compressed_pubkey))) { printf("Failed parsing the public key\n"); - return 1; + return EXIT_FAILURE; } /* Verify a signature. This will return 1 if it's valid and 0 if it's not. */ @@ -128,12 +127,12 @@ int main(void) { /* It's best practice to try to clear secrets from memory after using them. * This is done because some bugs can allow an attacker to leak memory, for - * example through "out of bounds" array access (see Heartbleed), Or the OS + * example through "out of bounds" array access (see Heartbleed), or the OS * swapping them to disk. Hence, we overwrite the secret key buffer with zeros. * * Here we are preventing these writes from being optimized out, as any good compiler * will remove any writes that aren't used. */ secure_erase(seckey, sizeof(seckey)); - return 0; + return EXIT_SUCCESS; } diff --git a/examples/ellswift.c b/examples/ellswift.c new file mode 100644 index 0000000000..d58e96b053 --- /dev/null +++ b/examples/ellswift.c @@ -0,0 +1,122 @@ +/************************************************************************* + * Written in 2024 by Sebastian Falbesoner * + * To the extent possible under law, the author(s) have dedicated all * + * copyright and related and neighboring rights to the software in this * + * file to the public domain worldwide. This software is distributed * + * without any warranty. For the CC0 Public Domain Dedication, see * + * EXAMPLES_COPYING or https://creativecommons.org/publicdomain/zero/1.0 * + *************************************************************************/ + +/** This file demonstrates how to use the ElligatorSwift module to perform + * a key exchange according to BIP 324. Additionally, see the documentation + * in include/secp256k1_ellswift.h and doc/ellswift.md. + */ + +#include +#include +#include +#include + +#include +#include + +#include "examples_util.h" + +int main(void) { + secp256k1_context* ctx; + unsigned char randomize[32]; + unsigned char auxrand1[32]; + unsigned char auxrand2[32]; + unsigned char seckey1[32]; + unsigned char seckey2[32]; + unsigned char ellswift_pubkey1[64]; + unsigned char ellswift_pubkey2[64]; + unsigned char shared_secret1[32]; + unsigned char shared_secret2[32]; + int return_val; + + /* Create a secp256k1 context */ + ctx = secp256k1_context_create(SECP256K1_CONTEXT_NONE); + if (!fill_random(randomize, sizeof(randomize))) { + printf("Failed to generate randomness\n"); + return EXIT_FAILURE; + } + /* Randomizing the context is recommended to protect against side-channel + * leakage. See `secp256k1_context_randomize` in secp256k1.h for more + * information about it. This should never fail. */ + return_val = secp256k1_context_randomize(ctx, randomize); + assert(return_val); + + /*** Generate secret keys ***/ + if (!fill_random(seckey1, sizeof(seckey1)) || !fill_random(seckey2, sizeof(seckey2))) { + printf("Failed to generate randomness\n"); + return EXIT_FAILURE; + } + /* If the secret key is zero or out of range (greater than secp256k1's + * order), we fail. Note that the probability of this occurring is negligible + * with a properly functioning random number generator. */ + if (!secp256k1_ec_seckey_verify(ctx, seckey1) || !secp256k1_ec_seckey_verify(ctx, seckey2)) { + printf("Generated secret key is invalid. This indicates an issue with the random number generator.\n"); + return EXIT_FAILURE; + } + + /* Generate ElligatorSwift public keys. This should never fail with valid context and + verified secret keys. Note that providing additional randomness (fourth parameter) is + optional, but recommended. */ + if (!fill_random(auxrand1, sizeof(auxrand1)) || !fill_random(auxrand2, sizeof(auxrand2))) { + printf("Failed to generate randomness\n"); + return EXIT_FAILURE; + } + return_val = secp256k1_ellswift_create(ctx, ellswift_pubkey1, seckey1, auxrand1); + assert(return_val); + return_val = secp256k1_ellswift_create(ctx, ellswift_pubkey2, seckey2, auxrand2); + assert(return_val); + + /*** Create the shared secret on each side ***/ + + /* Perform x-only ECDH with seckey1 and ellswift_pubkey2. Should never fail + * with a verified seckey and valid pubkey. Note that both parties pass both + * EllSwift pubkeys in the same order; the pubkey of the calling party is + * determined by the "party" boolean (sixth parameter). */ + return_val = secp256k1_ellswift_xdh(ctx, shared_secret1, ellswift_pubkey1, ellswift_pubkey2, + seckey1, 0, secp256k1_ellswift_xdh_hash_function_bip324, NULL); + assert(return_val); + + /* Perform x-only ECDH with seckey2 and ellswift_pubkey1. Should never fail + * with a verified seckey and valid pubkey. */ + return_val = secp256k1_ellswift_xdh(ctx, shared_secret2, ellswift_pubkey1, ellswift_pubkey2, + seckey2, 1, secp256k1_ellswift_xdh_hash_function_bip324, NULL); + assert(return_val); + + /* Both parties should end up with the same shared secret */ + return_val = memcmp(shared_secret1, shared_secret2, sizeof(shared_secret1)); + assert(return_val == 0); + + printf( " Secret Key1: "); + print_hex(seckey1, sizeof(seckey1)); + printf( "EllSwift Pubkey1: "); + print_hex(ellswift_pubkey1, sizeof(ellswift_pubkey1)); + printf("\n Secret Key2: "); + print_hex(seckey2, sizeof(seckey2)); + printf( "EllSwift Pubkey2: "); + print_hex(ellswift_pubkey2, sizeof(ellswift_pubkey2)); + printf("\n Shared Secret: "); + print_hex(shared_secret1, sizeof(shared_secret1)); + + /* This will clear everything from the context and free the memory */ + secp256k1_context_destroy(ctx); + + /* It's best practice to try to clear secrets from memory after using them. + * This is done because some bugs can allow an attacker to leak memory, for + * example through "out of bounds" array access (see Heartbleed), or the OS + * swapping them to disk. Hence, we overwrite the secret key buffer with zeros. + * + * Here we are preventing these writes from being optimized out, as any good compiler + * will remove any writes that aren't used. */ + secure_erase(seckey1, sizeof(seckey1)); + secure_erase(seckey2, sizeof(seckey2)); + secure_erase(shared_secret1, sizeof(shared_secret1)); + secure_erase(shared_secret2, sizeof(shared_secret2)); + + return EXIT_SUCCESS; +} diff --git a/examples/examples_util.h b/examples/examples_util.h index a52b1fa115..3293b64032 100644 --- a/examples/examples_util.h +++ b/examples/examples_util.h @@ -17,7 +17,13 @@ */ #if defined(_WIN32) +/* + * The defined WIN32_NO_STATUS macro disables return code definitions in + * windows.h, which avoids "macro redefinition" MSVC warnings in ntstatus.h. + */ +#define WIN32_NO_STATUS #include +#undef WIN32_NO_STATUS #include #include #elif defined(__linux__) || defined(__APPLE__) || defined(__FreeBSD__) @@ -77,7 +83,7 @@ static void print_hex(unsigned char* data, size_t size) { #include #endif /* Cleanses memory to prevent leaking sensitive info. Won't be optimized out. */ -static SECP256K1_INLINE void secure_erase(void *ptr, size_t len) { +static void secure_erase(void *ptr, size_t len) { #if defined(_MSC_VER) /* SecureZeroMemory is guaranteed not to be optimized out by MSVC. */ SecureZeroMemory(ptr, len); @@ -89,7 +95,7 @@ static SECP256K1_INLINE void secure_erase(void *ptr, size_t len) { * As best as we can tell, this is sufficient to break any optimisations that * might try to eliminate "superfluous" memsets. * This method used in memzero_explicit() the Linux kernel, too. Its advantage is that it is - * pretty efficient, because the compiler can still implement the memset() efficently, + * pretty efficient, because the compiler can still implement the memset() efficiently, * just not remove it entirely. See "Dead Store Elimination (Still) Considered Harmful" by * Yang et al. (USENIX Security 2017) for more background. */ diff --git a/examples/musig.c b/examples/musig.c new file mode 100644 index 0000000000..bdb8fced0c --- /dev/null +++ b/examples/musig.c @@ -0,0 +1,261 @@ +/************************************************************************* + * To the extent possible under law, the author(s) have dedicated all * + * copyright and related and neighboring rights to the software in this * + * file to the public domain worldwide. This software is distributed * + * without any warranty. For the CC0 Public Domain Dedication, see * + * EXAMPLES_COPYING or https://creativecommons.org/publicdomain/zero/1.0 * + *************************************************************************/ + +/** This file demonstrates how to use the MuSig module to create a + * 3-of-3 multisignature. Additionally, see the documentation in + * include/secp256k1_musig.h and doc/musig.md. + */ + +#include +#include +#include +#include + +#include +#include +#include +#include + +#include "examples_util.h" + +struct signer_secrets { + secp256k1_keypair keypair; + secp256k1_musig_secnonce secnonce; +}; + +struct signer { + secp256k1_pubkey pubkey; + secp256k1_musig_pubnonce pubnonce; + secp256k1_musig_partial_sig partial_sig; +}; + + /* Number of public keys involved in creating the aggregate signature */ +#define N_SIGNERS 3 +/* Create a key pair, store it in signer_secrets->keypair and signer->pubkey */ +static int create_keypair(const secp256k1_context* ctx, struct signer_secrets *signer_secrets, struct signer *signer) { + unsigned char seckey[32]; + + if (!fill_random(seckey, sizeof(seckey))) { + printf("Failed to generate randomness\n"); + return 0; + } + /* Try to create a keypair with a valid context. This only fails if the + * secret key is zero or out of range (greater than secp256k1's order). Note + * that the probability of this occurring is negligible with a properly + * functioning random number generator. */ + if (!secp256k1_keypair_create(ctx, &signer_secrets->keypair, seckey)) { + return 0; + } + if (!secp256k1_keypair_pub(ctx, &signer->pubkey, &signer_secrets->keypair)) { + return 0; + } + + secure_erase(seckey, sizeof(seckey)); + return 1; +} + +/* Tweak the pubkey corresponding to the provided keyagg cache, update the cache + * and return the tweaked aggregate pk. */ +static int tweak(const secp256k1_context* ctx, secp256k1_xonly_pubkey *agg_pk, secp256k1_musig_keyagg_cache *cache) { + secp256k1_pubkey output_pk; + /* For BIP 32 tweaking the plain_tweak is set to a hash as defined in BIP + * 32. */ + unsigned char plain_tweak[32] = "this could be a BIP32 tweak...."; + /* For Taproot tweaking the xonly_tweak is set to the TapTweak hash as + * defined in BIP 341 */ + unsigned char xonly_tweak[32] = "this could be a Taproot tweak.."; + + + /* Plain tweaking which, for example, allows deriving multiple child + * public keys from a single aggregate key using BIP32 */ + if (!secp256k1_musig_pubkey_ec_tweak_add(ctx, NULL, cache, plain_tweak)) { + return 0; + } + /* Note that we did not provide an output_pk argument, because the + * resulting pk is also saved in the cache and so if one is just interested + * in signing, the output_pk argument is unnecessary. On the other hand, if + * one is not interested in signing, the same output_pk can be obtained by + * calling `secp256k1_musig_pubkey_get` right after key aggregation to get + * the full pubkey and then call `secp256k1_ec_pubkey_tweak_add`. */ + + /* Xonly tweaking which, for example, allows creating Taproot commitments */ + if (!secp256k1_musig_pubkey_xonly_tweak_add(ctx, &output_pk, cache, xonly_tweak)) { + return 0; + } + /* Note that if we wouldn't care about signing, we can arrive at the same + * output_pk by providing the untweaked public key to + * `secp256k1_xonly_pubkey_tweak_add` (after converting it to an xonly pubkey + * if necessary with `secp256k1_xonly_pubkey_from_pubkey`). */ + + /* Now we convert the output_pk to an xonly pubkey to allow to later verify + * the Schnorr signature against it. For this purpose we can ignore the + * `pk_parity` output argument; we would need it if we would have to open + * the Taproot commitment. */ + if (!secp256k1_xonly_pubkey_from_pubkey(ctx, agg_pk, NULL, &output_pk)) { + return 0; + } + return 1; +} + +/* Sign a message hash with the given key pairs and store the result in sig */ +static int sign(const secp256k1_context* ctx, struct signer_secrets *signer_secrets, struct signer *signer, const secp256k1_musig_keyagg_cache *cache, const unsigned char *msg32, unsigned char *sig64) { + int i; + const secp256k1_musig_pubnonce *pubnonces[N_SIGNERS]; + const secp256k1_musig_partial_sig *partial_sigs[N_SIGNERS]; + /* The same for all signers */ + secp256k1_musig_session session; + secp256k1_musig_aggnonce agg_pubnonce; + + for (i = 0; i < N_SIGNERS; i++) { + unsigned char seckey[32]; + unsigned char session_secrand[32]; + /* Create random session ID. It is absolutely necessary that the session ID + * is unique for every call of secp256k1_musig_nonce_gen. Otherwise + * it's trivial for an attacker to extract the secret key! */ + if (!fill_random(session_secrand, sizeof(session_secrand))) { + return 0; + } + if (!secp256k1_keypair_sec(ctx, seckey, &signer_secrets[i].keypair)) { + return 0; + } + /* Initialize session and create secret nonce for signing and public + * nonce to send to the other signers. */ + if (!secp256k1_musig_nonce_gen(ctx, &signer_secrets[i].secnonce, &signer[i].pubnonce, session_secrand, seckey, &signer[i].pubkey, msg32, NULL, NULL)) { + return 0; + } + pubnonces[i] = &signer[i].pubnonce; + + secure_erase(seckey, sizeof(seckey)); + } + + /* Communication round 1: Every signer sends their pubnonce to the + * coordinator. The coordinator runs secp256k1_musig_nonce_agg and sends + * agg_pubnonce to each signer */ + if (!secp256k1_musig_nonce_agg(ctx, &agg_pubnonce, pubnonces, N_SIGNERS)) { + return 0; + } + + /* Every signer creates a partial signature */ + for (i = 0; i < N_SIGNERS; i++) { + /* Initialize the signing session by processing the aggregate nonce */ + if (!secp256k1_musig_nonce_process(ctx, &session, &agg_pubnonce, msg32, cache)) { + return 0; + } + /* partial_sign will clear the secnonce by setting it to 0. That's because + * you must _never_ reuse the secnonce (or use the same session_secrand to + * create a secnonce). If you do, you effectively reuse the nonce and + * leak the secret key. */ + if (!secp256k1_musig_partial_sign(ctx, &signer[i].partial_sig, &signer_secrets[i].secnonce, &signer_secrets[i].keypair, cache, &session)) { + return 0; + } + partial_sigs[i] = &signer[i].partial_sig; + } + /* Communication round 2: Every signer sends their partial signature to the + * coordinator, who verifies the partial signatures and aggregates them. */ + for (i = 0; i < N_SIGNERS; i++) { + /* To check whether signing was successful, it suffices to either verify + * the aggregate signature with the aggregate public key using + * secp256k1_schnorrsig_verify, or verify all partial signatures of all + * signers individually. Verifying the aggregate signature is cheaper but + * verifying the individual partial signatures has the advantage that it + * can be used to determine which of the partial signatures are invalid + * (if any), i.e., which of the partial signatures cause the aggregate + * signature to be invalid and thus the protocol run to fail. It's also + * fine to first verify the aggregate sig, and only verify the individual + * sigs if it does not work. + */ + if (!secp256k1_musig_partial_sig_verify(ctx, &signer[i].partial_sig, &signer[i].pubnonce, &signer[i].pubkey, cache, &session)) { + return 0; + } + } + return secp256k1_musig_partial_sig_agg(ctx, sig64, &session, partial_sigs, N_SIGNERS); +} + +int main(void) { + secp256k1_context* ctx; + int i; + struct signer_secrets signer_secrets[N_SIGNERS]; + struct signer signers[N_SIGNERS]; + const secp256k1_pubkey *pubkeys_ptr[N_SIGNERS]; + secp256k1_xonly_pubkey agg_pk; + secp256k1_musig_keyagg_cache cache; + unsigned char msg[32] = "this_could_be_the_hash_of_a_msg"; + unsigned char sig[64]; + + /* Create a secp256k1 context */ + ctx = secp256k1_context_create(SECP256K1_CONTEXT_NONE); + printf("Creating key pairs......"); + fflush(stdout); + for (i = 0; i < N_SIGNERS; i++) { + if (!create_keypair(ctx, &signer_secrets[i], &signers[i])) { + printf("FAILED\n"); + return EXIT_FAILURE; + } + pubkeys_ptr[i] = &signers[i].pubkey; + } + printf("ok\n"); + + /* The aggregate public key produced by secp256k1_musig_pubkey_agg depends + * on the order of the provided public keys. If there is no canonical order + * of the signers, the individual public keys can optionally be sorted with + * secp256k1_ec_pubkey_sort to ensure that the aggregate public key is + * independent of the order of signers. */ + printf("Sorting public keys....."); + fflush(stdout); + if (!secp256k1_ec_pubkey_sort(ctx, pubkeys_ptr, N_SIGNERS)) { + printf("FAILED\n"); + return EXIT_FAILURE; + } + printf("ok\n"); + + printf("Combining public keys..."); + fflush(stdout); + /* If you just want to aggregate and not sign, you can call + * secp256k1_musig_pubkey_agg with the keyagg_cache argument set to NULL + * while providing a non-NULL agg_pk argument. */ + if (!secp256k1_musig_pubkey_agg(ctx, NULL, &cache, pubkeys_ptr, N_SIGNERS)) { + printf("FAILED\n"); + return EXIT_FAILURE; + } + printf("ok\n"); + printf("Tweaking................"); + fflush(stdout); + /* Optionally tweak the aggregate key */ + if (!tweak(ctx, &agg_pk, &cache)) { + printf("FAILED\n"); + return EXIT_FAILURE; + } + printf("ok\n"); + printf("Signing message........."); + fflush(stdout); + if (!sign(ctx, signer_secrets, signers, &cache, msg, sig)) { + printf("FAILED\n"); + return EXIT_FAILURE; + } + printf("ok\n"); + printf("Verifying signature....."); + fflush(stdout); + if (!secp256k1_schnorrsig_verify(ctx, sig, msg, 32, &agg_pk)) { + printf("FAILED\n"); + return EXIT_FAILURE; + } + printf("ok\n"); + + /* It's best practice to try to clear secrets from memory after using them. + * This is done because some bugs can allow an attacker to leak memory, for + * example through "out of bounds" array access (see Heartbleed), or the OS + * swapping them to disk. Hence, we overwrite secret key material with zeros. + * + * Here we are preventing these writes from being optimized out, as any good compiler + * will remove any writes that aren't used. */ + for (i = 0; i < N_SIGNERS; i++) { + secure_erase(&signer_secrets[i], sizeof(signer_secrets[i])); + } + secp256k1_context_destroy(ctx); + return EXIT_SUCCESS; +} diff --git a/examples/schnorr.c b/examples/schnorr.c index 4c0dd1c1a9..49baed24be 100644 --- a/examples/schnorr.c +++ b/examples/schnorr.c @@ -8,6 +8,7 @@ *************************************************************************/ #include +#include #include #include @@ -18,9 +19,9 @@ #include "examples_util.h" int main(void) { - unsigned char msg[12] = "Hello World!"; + unsigned char msg[] = {'H', 'e', 'l', 'l', 'o', ' ', 'W', 'o', 'r', 'l', 'd', '!'}; unsigned char msg_hash[32]; - unsigned char tag[17] = "my_fancy_protocol"; + unsigned char tag[] = {'m', 'y', '_', 'f', 'a', 'n', 'c', 'y', '_', 'p', 'r', 'o', 't', 'o', 'c', 'o', 'l'}; unsigned char seckey[32]; unsigned char randomize[32]; unsigned char auxiliary_rand[32]; @@ -34,7 +35,7 @@ int main(void) { secp256k1_context* ctx = secp256k1_context_create(SECP256K1_CONTEXT_NONE); if (!fill_random(randomize, sizeof(randomize))) { printf("Failed to generate randomness\n"); - return 1; + return EXIT_FAILURE; } /* Randomizing the context is recommended to protect against side-channel * leakage See `secp256k1_context_randomize` in secp256k1.h for more @@ -43,20 +44,17 @@ int main(void) { assert(return_val); /*** Key Generation ***/ - - /* If the secret key is zero or out of range (bigger than secp256k1's - * order), we try to sample a new key. Note that the probability of this - * happening is negligible. */ - while (1) { - if (!fill_random(seckey, sizeof(seckey))) { - printf("Failed to generate randomness\n"); - return 1; - } - /* Try to create a keypair with a valid context, it should only fail if - * the secret key is zero or out of range. */ - if (secp256k1_keypair_create(ctx, &keypair, seckey)) { - break; - } + if (!fill_random(seckey, sizeof(seckey))) { + printf("Failed to generate randomness\n"); + return EXIT_FAILURE; + } + /* Try to create a keypair with a valid context. This only fails if the + * secret key is zero or out of range (greater than secp256k1's order). Note + * that the probability of this occurring is negligible with a properly + * functioning random number generator. */ + if (!secp256k1_keypair_create(ctx, &keypair, seckey)) { + printf("Generated secret key is invalid. This indicates an issue with the random number generator.\n"); + return EXIT_FAILURE; } /* Extract the X-only public key from the keypair. We pass NULL for @@ -93,7 +91,7 @@ int main(void) { /* Generate 32 bytes of randomness to use with BIP-340 schnorr signing. */ if (!fill_random(auxiliary_rand, sizeof(auxiliary_rand))) { printf("Failed to generate randomness\n"); - return 1; + return EXIT_FAILURE; } /* Generate a Schnorr signature. @@ -113,7 +111,7 @@ int main(void) { * be parsed correctly */ if (!secp256k1_xonly_pubkey_parse(ctx, &pubkey, serialized_pubkey)) { printf("Failed parsing the public key\n"); - return 1; + return EXIT_FAILURE; } /* Compute the tagged hash on the received messages using the same tag as the signer. */ @@ -146,11 +144,11 @@ int main(void) { /* It's best practice to try to clear secrets from memory after using them. * This is done because some bugs can allow an attacker to leak memory, for - * example through "out of bounds" array access (see Heartbleed), Or the OS + * example through "out of bounds" array access (see Heartbleed), or the OS * swapping them to disk. Hence, we overwrite the secret key buffer with zeros. * * Here we are preventing these writes from being optimized out, as any good compiler * will remove any writes that aren't used. */ secure_erase(seckey, sizeof(seckey)); - return 0; + return EXIT_SUCCESS; } diff --git a/include/secp256k1.h b/include/secp256k1.h index 325f35eb04..b0a13b144d 100644 --- a/include/secp256k1.h +++ b/include/secp256k1.h @@ -49,19 +49,6 @@ extern "C" { */ typedef struct secp256k1_context_struct secp256k1_context; -/** Opaque data structure that holds rewritable "scratch space" - * - * The purpose of this structure is to replace dynamic memory allocations, - * because we target architectures where this may not be available. It is - * essentially a resizable (within specified parameters) block of bytes, - * which is initially created either by memory allocation or TODO as a pointer - * into some fixed rewritable space. - * - * Unlike the context object, this cannot safely be shared between threads - * without additional synchronization logic. - */ -typedef struct secp256k1_scratch_space_struct secp256k1_scratch_space; - /** Opaque data structure that holds a parsed and valid public key. * * The exact representation of data inside is implementation defined and not @@ -71,11 +58,11 @@ typedef struct secp256k1_scratch_space_struct secp256k1_scratch_space; * use secp256k1_ec_pubkey_serialize and secp256k1_ec_pubkey_parse. To * compare keys, use secp256k1_ec_pubkey_cmp. */ -typedef struct { +typedef struct secp256k1_pubkey { unsigned char data[64]; } secp256k1_pubkey; -/** Opaque data structured that holds a parsed ECDSA signature. +/** Opaque data structure that holds a parsed ECDSA signature. * * The exact representation of data inside is implementation defined and not * guaranteed to be portable between different platforms or versions. It is @@ -84,7 +71,7 @@ typedef struct { * comparison, use the secp256k1_ecdsa_signature_serialize_* and * secp256k1_ecdsa_signature_parse_* functions. */ -typedef struct { +typedef struct secp256k1_ecdsa_signature { unsigned char data[64]; } secp256k1_ecdsa_signature; @@ -122,18 +109,6 @@ typedef int (*secp256k1_nonce_function)( # endif # endif -# if (!defined(__STDC_VERSION__) || (__STDC_VERSION__ < 199901L) ) -# if SECP256K1_GNUC_PREREQ(2,7) -# define SECP256K1_INLINE __inline__ -# elif (defined(_MSC_VER)) -# define SECP256K1_INLINE __inline -# else -# define SECP256K1_INLINE -# endif -# else -# define SECP256K1_INLINE inline -# endif - /* When this header is used at build-time the SECP256K1_BUILD define needs to be set * to correctly setup export attributes and nullness checks. This is normally done * by secp256k1.c but to guard against this header being included before secp256k1.c @@ -145,29 +120,58 @@ typedef int (*secp256k1_nonce_function)( # define SECP256K1_NO_BUILD #endif -/* Symbol visibility. See libtool manual, section "Windows DLLs". */ -#if defined(_WIN32) && !defined(__GNUC__) -# ifdef SECP256K1_BUILD -# ifdef DLL_EXPORT -# define SECP256K1_API __declspec (dllexport) -# define SECP256K1_API_VAR extern __declspec (dllexport) -# endif -# elif defined _MSC_VER -# define SECP256K1_API -# define SECP256K1_API_VAR extern __declspec (dllimport) -# elif defined DLL_EXPORT -# define SECP256K1_API __declspec (dllimport) -# define SECP256K1_API_VAR extern __declspec (dllimport) -# endif +/* Symbol visibility. */ +#if !defined(SECP256K1_API) && defined(SECP256K1_NO_API_VISIBILITY_ATTRIBUTES) + /* The user has requested that we don't specify visibility attributes in + * the public API. + * + * Since all our non-API declarations use the static qualifier, this means + * that the user can use -fvisibility= to set the visibility of the + * API symbols. For instance, -fvisibility=hidden can be useful *even for + * the API symbols*, e.g., when building a static library which is linked + * into a shared library, and the latter should not re-export the + * libsecp256k1 API. + * + * While visibility is a concept that applies only to shared libraries, + * setting visibility will still make a difference when building a static + * library: the visibility settings will be stored in the static library, + * solely for the potential case that the static library will be linked into + * a shared library. In that case, the stored visibility settings will + * resurface and be honored for the shared library. */ +# define SECP256K1_API extern #endif -#ifndef SECP256K1_API -# if defined(__GNUC__) && (__GNUC__ >= 4) && defined(SECP256K1_BUILD) -# define SECP256K1_API __attribute__ ((visibility ("default"))) -# define SECP256K1_API_VAR extern __attribute__ ((visibility ("default"))) -# else -# define SECP256K1_API -# define SECP256K1_API_VAR extern -# endif +#if !defined(SECP256K1_API) +# if defined(SECP256K1_BUILD) + /* On Windows, assume a shared library only if explicitly requested. + * 1. If using Libtool, it defines DLL_EXPORT automatically. + * 2. In other cases, SECP256K1_DLL_EXPORT must be defined. */ +# if defined(_WIN32) && (defined(SECP256K1_DLL_EXPORT) || defined(DLL_EXPORT)) + /* GCC for Windows (e.g., MinGW) accepts the __declspec syntax for + * MSVC compatibility. A __declspec declaration implies (but is not + * exactly equivalent to) __attribute__ ((visibility("default"))), + * and so we actually want __declspec even on GCC, see "Microsoft + * Windows Function Attributes" in the GCC manual and the + * recommendations in https://gcc.gnu.org/wiki/Visibility . */ +# define SECP256K1_API extern __declspec(dllexport) + /* Avoid __attribute__ ((visibility("default"))) on Windows to get rid + * of warnings when compiling with -flto due to a bug in GCC, see + * https://gcc.gnu.org/bugzilla/show_bug.cgi?id=116478 . */ +# elif !defined(_WIN32) && defined (__GNUC__) && (__GNUC__ >= 4) +# define SECP256K1_API extern __attribute__ ((visibility("default"))) +# else +# define SECP256K1_API extern +# endif +# else + /* On Windows, SECP256K1_STATIC must be defined when consuming + * libsecp256k1 as a static library. Note that SECP256K1_STATIC is a + * "consumer-only" macro, and it has no meaning when building + * libsecp256k1. */ +# if defined(_WIN32) && !defined(SECP256K1_STATIC) +# define SECP256K1_API extern __declspec(dllimport) +# else +# define SECP256K1_API extern +# endif +# endif #endif /* Warning attributes @@ -238,10 +242,10 @@ typedef int (*secp256k1_nonce_function)( * * It is highly recommended to call secp256k1_selftest before using this context. */ -SECP256K1_API_VAR const secp256k1_context *secp256k1_context_static; +SECP256K1_API const secp256k1_context * const secp256k1_context_static; /** Deprecated alias for secp256k1_context_static. */ -SECP256K1_API_VAR const secp256k1_context *secp256k1_context_no_precomp +SECP256K1_API const secp256k1_context * const secp256k1_context_no_precomp SECP256K1_DEPRECATED("Use secp256k1_context_static instead"); /** Perform basic self tests (to be used in conjunction with secp256k1_context_static) @@ -257,7 +261,7 @@ SECP256K1_DEPRECATED("Use secp256k1_context_static instead"); * secp256k1_context_create (or secp256k1_context_preallocated_create), which will * take care of performing the self tests. * - * If the tests fail, this function will call the default error handler to abort the + * If the tests fail, this function will call the default error callback to abort the * program (see secp256k1_context_set_error_callback). */ SECP256K1_API void secp256k1_selftest(void); @@ -270,7 +274,7 @@ SECP256K1_API void secp256k1_selftest(void); * memory allocation entirely, see secp256k1_context_static and the functions in * secp256k1_preallocated.h. * - * Returns: a newly created context object. + * Returns: pointer to a newly created context object. * In: flags: Always set to SECP256K1_CONTEXT_NONE (see below). * * The only valid non-deprecated flag in recent library versions is @@ -288,7 +292,7 @@ SECP256K1_API void secp256k1_selftest(void); * Do not create a new context object for each operation, as construction and * randomization can take non-negligible time. */ -SECP256K1_API secp256k1_context* secp256k1_context_create( +SECP256K1_API secp256k1_context *secp256k1_context_create( unsigned int flags ) SECP256K1_WARN_UNUSED_RESULT; @@ -301,11 +305,11 @@ SECP256K1_API secp256k1_context* secp256k1_context_create( * Cloning secp256k1_context_static is not possible, and should not be emulated by * the caller (e.g., using memcpy). Create a new context instead. * - * Returns: a newly created context object. - * Args: ctx: an existing context to copy (not secp256k1_context_static) + * Returns: pointer to a newly created context object. + * Args: ctx: pointer to a context to copy (not secp256k1_context_static). */ -SECP256K1_API secp256k1_context* secp256k1_context_clone( - const secp256k1_context* ctx +SECP256K1_API secp256k1_context *secp256k1_context_clone( + const secp256k1_context *ctx ) SECP256K1_ARG_NONNULL(1) SECP256K1_WARN_UNUSED_RESULT; /** Destroy a secp256k1 context object (created in dynamically allocated memory). @@ -318,55 +322,56 @@ SECP256K1_API secp256k1_context* secp256k1_context_clone( * behaviour is undefined. In that case, secp256k1_context_preallocated_destroy must * be used instead. * - * Args: ctx: an existing context to destroy, constructed using + * Args: ctx: pointer to a context to destroy, constructed using * secp256k1_context_create or secp256k1_context_clone * (i.e., not secp256k1_context_static). */ SECP256K1_API void secp256k1_context_destroy( - secp256k1_context* ctx + secp256k1_context *ctx ) SECP256K1_ARG_NONNULL(1); /** Set a callback function to be called when an illegal argument is passed to * an API call. It will only trigger for violations that are mentioned * explicitly in the header. * - * The philosophy is that these shouldn't be dealt with through a - * specific return value, as calling code should not have branches to deal with - * the case that this code itself is broken. + * The philosophy is that these shouldn't be dealt with through a specific + * return value, as calling code should not have branches to deal with the case + * that this code itself is broken. * * On the other hand, during debug stage, one would want to be informed about - * such mistakes, and the default (crashing) may be inadvisable. - * When this callback is triggered, the API function called is guaranteed not - * to cause a crash, though its return value and output arguments are - * undefined. - * - * When this function has not been called (or called with fn==NULL), then the - * default handler will be used. The library provides a default handler which - * writes the message to stderr and calls abort. This default handler can be + * such mistakes, and the default (crashing) may be inadvisable. Should this + * callback return instead of crashing, the return value and output arguments + * of the API function call are undefined. Moreover, the same API call may + * trigger the callback again in this case. + * + * When this function has not been called (or called with fun==NULL), then the + * default callback will be used. The library provides a default callback which + * writes the message to stderr and calls abort. This default callback can be * replaced at link time if the preprocessor macro * USE_EXTERNAL_DEFAULT_CALLBACKS is defined, which is the case if the build * has been configured with --enable-external-default-callbacks. Then the * following two symbols must be provided to link against: - * - void secp256k1_default_illegal_callback_fn(const char* message, void* data); - * - void secp256k1_default_error_callback_fn(const char* message, void* data); - * The library can call these default handlers even before a proper callback data + * - void secp256k1_default_illegal_callback_fn(const char *message, void *data); + * - void secp256k1_default_error_callback_fn(const char *message, void *data); + * The library may call a default callback even before a proper callback data * pointer could have been set using secp256k1_context_set_illegal_callback or * secp256k1_context_set_error_callback, e.g., when the creation of a context - * fails. In this case, the corresponding default handler will be called with + * fails. In this case, the corresponding default callback will be called with * the data pointer argument set to NULL. * - * Args: ctx: an existing context object. - * In: fun: a pointer to a function to call when an illegal argument is + * Args: ctx: pointer to a context object. + * In: fun: pointer to a function to call when an illegal argument is * passed to the API, taking a message and an opaque pointer. - * (NULL restores the default handler.) - * data: the opaque pointer to pass to fun above, must be NULL for the default handler. + * (NULL restores the default callback.) + * data: the opaque pointer to pass to fun above, must be NULL for the + * default callback. * * See also secp256k1_context_set_error_callback. */ SECP256K1_API void secp256k1_context_set_illegal_callback( - secp256k1_context* ctx, - void (*fun)(const char* message, void* data), - const void* data + secp256k1_context *ctx, + void (*fun)(const char *message, void *data), + const void *data ) SECP256K1_ARG_NONNULL(1); /** Set a callback function to be called when an internal consistency check @@ -376,55 +381,33 @@ SECP256K1_API void secp256k1_context_set_illegal_callback( * to abort the program. * * This can only trigger in case of a hardware failure, miscompilation, - * memory corruption, serious bug in the library, or other error would can - * otherwise result in undefined behaviour. It will not trigger due to mere + * memory corruption, serious bug in the library, or other error that would + * result in undefined behaviour. It will not trigger due to mere * incorrect usage of the API (see secp256k1_context_set_illegal_callback * for that). After this callback returns, anything may happen, including * crashing. * - * Args: ctx: an existing context object. - * In: fun: a pointer to a function to call when an internal error occurs, + * Args: ctx: pointer to a context object. + * In: fun: pointer to a function to call when an internal error occurs, * taking a message and an opaque pointer (NULL restores the - * default handler, see secp256k1_context_set_illegal_callback + * default callback, see secp256k1_context_set_illegal_callback * for details). - * data: the opaque pointer to pass to fun above, must be NULL for the default handler. + * data: the opaque pointer to pass to fun above, must be NULL for the + * default callback. * * See also secp256k1_context_set_illegal_callback. */ SECP256K1_API void secp256k1_context_set_error_callback( - secp256k1_context* ctx, - void (*fun)(const char* message, void* data), - const void* data -) SECP256K1_ARG_NONNULL(1); - -/** Create a secp256k1 scratch space object. - * - * Returns: a newly created scratch space. - * Args: ctx: an existing context object. - * In: size: amount of memory to be available as scratch space. Some extra - * (<100 bytes) will be allocated for extra accounting. - */ -SECP256K1_API SECP256K1_WARN_UNUSED_RESULT secp256k1_scratch_space* secp256k1_scratch_space_create( - const secp256k1_context* ctx, - size_t size -) SECP256K1_ARG_NONNULL(1); - -/** Destroy a secp256k1 scratch space. - * - * The pointer may not be used afterwards. - * Args: ctx: a secp256k1 context object. - * scratch: space to destroy - */ -SECP256K1_API void secp256k1_scratch_space_destroy( - const secp256k1_context* ctx, - secp256k1_scratch_space* scratch + secp256k1_context *ctx, + void (*fun)(const char *message, void *data), + const void *data ) SECP256K1_ARG_NONNULL(1); /** Parse a variable-length public key into the pubkey object. * * Returns: 1 if the public key was fully valid. * 0 if the public key could not be parsed or is invalid. - * Args: ctx: a secp256k1 context object. + * Args: ctx: pointer to a context object. * Out: pubkey: pointer to a pubkey object. If 1 is returned, it is set to a * parsed version of input. If not, its value is undefined. * In: input: pointer to a serialized public key @@ -435,8 +418,8 @@ SECP256K1_API void secp256k1_scratch_space_destroy( * byte 0x06 or 0x07) format public keys. */ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_pubkey_parse( - const secp256k1_context* ctx, - secp256k1_pubkey* pubkey, + const secp256k1_context *ctx, + secp256k1_pubkey *pubkey, const unsigned char *input, size_t inputlen ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3); @@ -444,23 +427,23 @@ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_pubkey_parse( /** Serialize a pubkey object into a serialized byte sequence. * * Returns: 1 always. - * Args: ctx: a secp256k1 context object. - * Out: output: a pointer to a 65-byte (if compressed==0) or 33-byte (if + * Args: ctx: pointer to a context object. + * Out: output: pointer to a 65-byte (if compressed==0) or 33-byte (if * compressed==1) byte array to place the serialized key * in. - * In/Out: outputlen: a pointer to an integer which is initially set to the + * In/Out: outputlen: pointer to an integer which is initially set to the * size of output, and is overwritten with the written * size. - * In: pubkey: a pointer to a secp256k1_pubkey containing an + * In: pubkey: pointer to a secp256k1_pubkey containing an * initialized public key. * flags: SECP256K1_EC_COMPRESSED if serialization should be in * compressed format, otherwise SECP256K1_EC_UNCOMPRESSED. */ SECP256K1_API int secp256k1_ec_pubkey_serialize( - const secp256k1_context* ctx, + const secp256k1_context *ctx, unsigned char *output, size_t *outputlen, - const secp256k1_pubkey* pubkey, + const secp256k1_pubkey *pubkey, unsigned int flags ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4); @@ -469,22 +452,36 @@ SECP256K1_API int secp256k1_ec_pubkey_serialize( * Returns: <0 if the first public key is less than the second * >0 if the first public key is greater than the second * 0 if the two public keys are equal - * Args: ctx: a secp256k1 context object. + * Args: ctx: pointer to a context object * In: pubkey1: first public key to compare * pubkey2: second public key to compare */ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_pubkey_cmp( - const secp256k1_context* ctx, - const secp256k1_pubkey* pubkey1, - const secp256k1_pubkey* pubkey2 + const secp256k1_context *ctx, + const secp256k1_pubkey *pubkey1, + const secp256k1_pubkey *pubkey2 ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3); +/** Sort public keys using lexicographic (of compressed serialization) order + * + * Returns: 0 if the arguments are invalid. 1 otherwise. + * + * Args: ctx: pointer to a context object + * In: pubkeys: array of pointers to pubkeys to sort + * n_pubkeys: number of elements in the pubkeys array + */ +SECP256K1_API int secp256k1_ec_pubkey_sort( + const secp256k1_context *ctx, + const secp256k1_pubkey **pubkeys, + size_t n_pubkeys +) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2); + /** Parse an ECDSA signature in compact (64 bytes) format. * * Returns: 1 when the signature could be parsed, 0 otherwise. - * Args: ctx: a secp256k1 context object - * Out: sig: a pointer to a signature object - * In: input64: a pointer to the 64-byte array to parse + * Args: ctx: pointer to a context object + * Out: sig: pointer to a signature object + * In: input64: pointer to the 64-byte array to parse * * The signature must consist of a 32-byte big endian R value, followed by a * 32-byte big endian S value. If R or S fall outside of [0..order-1], the @@ -495,17 +492,17 @@ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_pubkey_cmp( * any message and public key. */ SECP256K1_API int secp256k1_ecdsa_signature_parse_compact( - const secp256k1_context* ctx, - secp256k1_ecdsa_signature* sig, + const secp256k1_context *ctx, + secp256k1_ecdsa_signature *sig, const unsigned char *input64 ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3); /** Parse a DER ECDSA signature. * * Returns: 1 when the signature could be parsed, 0 otherwise. - * Args: ctx: a secp256k1 context object - * Out: sig: a pointer to a signature object - * In: input: a pointer to the signature to be parsed + * Args: ctx: pointer to a context object + * Out: sig: pointer to a signature object + * In: input: pointer to the signature to be parsed * inputlen: the length of the array pointed to be input * * This function will accept any valid DER encoded signature, even if the @@ -516,8 +513,8 @@ SECP256K1_API int secp256k1_ecdsa_signature_parse_compact( * guaranteed to fail for every message and public key. */ SECP256K1_API int secp256k1_ecdsa_signature_parse_der( - const secp256k1_context* ctx, - secp256k1_ecdsa_signature* sig, + const secp256k1_context *ctx, + secp256k1_ecdsa_signature *sig, const unsigned char *input, size_t inputlen ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3); @@ -525,41 +522,41 @@ SECP256K1_API int secp256k1_ecdsa_signature_parse_der( /** Serialize an ECDSA signature in DER format. * * Returns: 1 if enough space was available to serialize, 0 otherwise - * Args: ctx: a secp256k1 context object - * Out: output: a pointer to an array to store the DER serialization - * In/Out: outputlen: a pointer to a length integer. Initially, this integer + * Args: ctx: pointer to a context object + * Out: output: pointer to an array to store the DER serialization + * In/Out: outputlen: pointer to a length integer. Initially, this integer * should be set to the length of output. After the call * it will be set to the length of the serialization (even * if 0 was returned). - * In: sig: a pointer to an initialized signature object + * In: sig: pointer to an initialized signature object */ SECP256K1_API int secp256k1_ecdsa_signature_serialize_der( - const secp256k1_context* ctx, + const secp256k1_context *ctx, unsigned char *output, size_t *outputlen, - const secp256k1_ecdsa_signature* sig + const secp256k1_ecdsa_signature *sig ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4); /** Serialize an ECDSA signature in compact (64 byte) format. * * Returns: 1 - * Args: ctx: a secp256k1 context object - * Out: output64: a pointer to a 64-byte array to store the compact serialization - * In: sig: a pointer to an initialized signature object + * Args: ctx: pointer to a context object + * Out: output64: pointer to a 64-byte array to store the compact serialization + * In: sig: pointer to an initialized signature object * * See secp256k1_ecdsa_signature_parse_compact for details about the encoding. */ SECP256K1_API int secp256k1_ecdsa_signature_serialize_compact( - const secp256k1_context* ctx, + const secp256k1_context *ctx, unsigned char *output64, - const secp256k1_ecdsa_signature* sig + const secp256k1_ecdsa_signature *sig ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3); /** Verify an ECDSA signature. * * Returns: 1: correct signature * 0: incorrect or unparseable signature - * Args: ctx: a secp256k1 context object. + * Args: ctx: pointer to a context object * In: sig: the signature being verified. * msghash32: the 32-byte message hash being verified. * The verifier must make sure to apply a cryptographic @@ -581,7 +578,7 @@ SECP256K1_API int secp256k1_ecdsa_signature_serialize_compact( * For details, see the comments for that function. */ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ecdsa_verify( - const secp256k1_context* ctx, + const secp256k1_context *ctx, const secp256k1_ecdsa_signature *sig, const unsigned char *msghash32, const secp256k1_pubkey *pubkey @@ -590,12 +587,12 @@ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ecdsa_verify( /** Convert a signature to a normalized lower-S form. * * Returns: 1 if sigin was not normalized, 0 if it already was. - * Args: ctx: a secp256k1 context object - * Out: sigout: a pointer to a signature to fill with the normalized form, + * Args: ctx: pointer to a context object + * Out: sigout: pointer to a signature to fill with the normalized form, * or copy if the input was already normalized. (can be NULL if * you're only interested in whether the input was already * normalized). - * In: sigin: a pointer to a signature to check/normalize (can be identical to sigout) + * In: sigin: pointer to a signature to check/normalize (can be identical to sigout) * * With ECDSA a third-party can forge a second distinct signature of the same * message, given a single initial signature, but without knowing the key. This @@ -629,7 +626,7 @@ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ecdsa_verify( * secp256k1_ecdsa_signature_normalize must be called before verification. */ SECP256K1_API int secp256k1_ecdsa_signature_normalize( - const secp256k1_context* ctx, + const secp256k1_context *ctx, secp256k1_ecdsa_signature *sigout, const secp256k1_ecdsa_signature *sigin ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(3); @@ -638,10 +635,10 @@ SECP256K1_API int secp256k1_ecdsa_signature_normalize( * If a data pointer is passed, it is assumed to be a pointer to 32 bytes of * extra entropy. */ -SECP256K1_API_VAR const secp256k1_nonce_function secp256k1_nonce_function_rfc6979; +SECP256K1_API const secp256k1_nonce_function secp256k1_nonce_function_rfc6979; /** A default safe nonce generation function (currently equal to secp256k1_nonce_function_rfc6979). */ -SECP256K1_API_VAR const secp256k1_nonce_function secp256k1_nonce_function_default; +SECP256K1_API const secp256k1_nonce_function secp256k1_nonce_function_default; /** Create an ECDSA signature. * @@ -662,7 +659,7 @@ SECP256K1_API_VAR const secp256k1_nonce_function secp256k1_nonce_function_defaul * secp256k1_ecdsa_signature_normalize for more details. */ SECP256K1_API int secp256k1_ecdsa_sign( - const secp256k1_context* ctx, + const secp256k1_context *ctx, secp256k1_ecdsa_signature *sig, const unsigned char *msghash32, const unsigned char *seckey, @@ -670,12 +667,14 @@ SECP256K1_API int secp256k1_ecdsa_sign( const void *ndata ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4); -/** Verify an ECDSA secret key. +/** Verify an elliptic curve secret key. * * A secret key is valid if it is not 0 and less than the secp256k1 curve order * when interpreted as an integer (most significant byte first). The * probability of choosing a 32-byte string uniformly at random which is an - * invalid secret key is negligible. + * invalid secret key is negligible. However, if it does happen it should + * be assumed that the randomness source is severely broken and there should + * be no retry. * * Returns: 1: secret key is valid * 0: secret key is invalid @@ -683,7 +682,7 @@ SECP256K1_API int secp256k1_ecdsa_sign( * In: seckey: pointer to a 32-byte secret key. */ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_seckey_verify( - const secp256k1_context* ctx, + const secp256k1_context *ctx, const unsigned char *seckey ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2); @@ -696,7 +695,7 @@ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_seckey_verify( * In: seckey: pointer to a 32-byte secret key. */ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_pubkey_create( - const secp256k1_context* ctx, + const secp256k1_context *ctx, secp256k1_pubkey *pubkey, const unsigned char *seckey ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3); @@ -712,26 +711,18 @@ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_pubkey_create( * seckey will be set to some unspecified value. */ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_seckey_negate( - const secp256k1_context* ctx, + const secp256k1_context *ctx, unsigned char *seckey ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2); -/** Same as secp256k1_ec_seckey_negate, but DEPRECATED. Will be removed in - * future versions. */ -SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_privkey_negate( - const secp256k1_context* ctx, - unsigned char *seckey -) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) - SECP256K1_DEPRECATED("Use secp256k1_ec_seckey_negate instead"); - /** Negates a public key in place. * * Returns: 1 always * Args: ctx: pointer to a context object * In/Out: pubkey: pointer to the public key to be negated. */ -SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_pubkey_negate( - const secp256k1_context* ctx, +SECP256K1_API int secp256k1_ec_pubkey_negate( + const secp256k1_context *ctx, secp256k1_pubkey *pubkey ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2); @@ -745,26 +736,17 @@ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_pubkey_negate( * invalid according to secp256k1_ec_seckey_verify, this * function returns 0. seckey will be set to some unspecified * value if this function returns 0. - * In: tweak32: pointer to a 32-byte tweak. If the tweak is invalid according to - * secp256k1_ec_seckey_verify, this function returns 0. For - * uniformly random 32-byte arrays the chance of being invalid - * is negligible (around 1 in 2^128). + * In: tweak32: pointer to a 32-byte tweak, which must be valid according to + * secp256k1_ec_seckey_verify or 32 zero bytes. For uniformly + * random 32-byte tweaks, the chance of being invalid is + * negligible (around 1 in 2^128). */ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_seckey_tweak_add( - const secp256k1_context* ctx, + const secp256k1_context *ctx, unsigned char *seckey, const unsigned char *tweak32 ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3); -/** Same as secp256k1_ec_seckey_tweak_add, but DEPRECATED. Will be removed in - * future versions. */ -SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_privkey_tweak_add( - const secp256k1_context* ctx, - unsigned char *seckey, - const unsigned char *tweak32 -) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) - SECP256K1_DEPRECATED("Use secp256k1_ec_seckey_tweak_add instead"); - /** Tweak a public key by adding tweak times the generator to it. * * Returns: 0 if the arguments are invalid or the resulting public key would be @@ -773,13 +755,13 @@ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_privkey_tweak_add( * Args: ctx: pointer to a context object. * In/Out: pubkey: pointer to a public key object. pubkey will be set to an * invalid value if this function returns 0. - * In: tweak32: pointer to a 32-byte tweak. If the tweak is invalid according to - * secp256k1_ec_seckey_verify, this function returns 0. For - * uniformly random 32-byte arrays the chance of being invalid - * is negligible (around 1 in 2^128). + * In: tweak32: pointer to a 32-byte tweak, which must be valid according to + * secp256k1_ec_seckey_verify or 32 zero bytes. For uniformly + * random 32-byte tweaks, the chance of being invalid is + * negligible (around 1 in 2^128). */ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_pubkey_tweak_add( - const secp256k1_context* ctx, + const secp256k1_context *ctx, secp256k1_pubkey *pubkey, const unsigned char *tweak32 ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3); @@ -798,20 +780,11 @@ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_pubkey_tweak_add( * is negligible (around 1 in 2^128). */ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_seckey_tweak_mul( - const secp256k1_context* ctx, + const secp256k1_context *ctx, unsigned char *seckey, const unsigned char *tweak32 ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3); -/** Same as secp256k1_ec_seckey_tweak_mul, but DEPRECATED. Will be removed in - * future versions. */ -SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_privkey_tweak_mul( - const secp256k1_context* ctx, - unsigned char *seckey, - const unsigned char *tweak32 -) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) - SECP256K1_DEPRECATED("Use secp256k1_ec_seckey_tweak_mul instead"); - /** Tweak a public key by multiplying it by a tweak value. * * Returns: 0 if the arguments are invalid. 1 otherwise. @@ -824,7 +797,7 @@ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_privkey_tweak_mul( * is negligible (around 1 in 2^128). */ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_pubkey_tweak_mul( - const secp256k1_context* ctx, + const secp256k1_context *ctx, secp256k1_pubkey *pubkey, const unsigned char *tweak32 ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3); @@ -862,7 +835,7 @@ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_pubkey_tweak_mul( * enhanced protection against side-channel leakage currently. */ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_context_randomize( - secp256k1_context* ctx, + secp256k1_context *ctx, const unsigned char *seed32 ) SECP256K1_ARG_NONNULL(1); @@ -876,9 +849,9 @@ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_context_randomize( * n: the number of public keys to add together (must be at least 1). */ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_pubkey_combine( - const secp256k1_context* ctx, + const secp256k1_context *ctx, secp256k1_pubkey *out, - const secp256k1_pubkey * const * ins, + const secp256k1_pubkey * const *ins, size_t n ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3); @@ -898,8 +871,8 @@ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_pubkey_combine( * msg: pointer to an array containing the message * msglen: length of the message array */ -SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_tagged_sha256( - const secp256k1_context* ctx, +SECP256K1_API int secp256k1_tagged_sha256( + const secp256k1_context *ctx, unsigned char *hash32, const unsigned char *tag, size_t taglen, diff --git a/include/secp256k1_ecdh.h b/include/secp256k1_ecdh.h index 625061b282..4d9da3461d 100644 --- a/include/secp256k1_ecdh.h +++ b/include/secp256k1_ecdh.h @@ -27,11 +27,11 @@ typedef int (*secp256k1_ecdh_hash_function)( /** An implementation of SHA256 hash function that applies to compressed public key. * Populates the output parameter with 32 bytes. */ -SECP256K1_API_VAR const secp256k1_ecdh_hash_function secp256k1_ecdh_hash_function_sha256; +SECP256K1_API const secp256k1_ecdh_hash_function secp256k1_ecdh_hash_function_sha256; /** A default ECDH hash function (currently equal to secp256k1_ecdh_hash_function_sha256). * Populates the output parameter with 32 bytes. */ -SECP256K1_API_VAR const secp256k1_ecdh_hash_function secp256k1_ecdh_hash_function_default; +SECP256K1_API const secp256k1_ecdh_hash_function secp256k1_ecdh_hash_function_default; /** Compute an EC Diffie-Hellman secret in constant time * @@ -39,7 +39,7 @@ SECP256K1_API_VAR const secp256k1_ecdh_hash_function secp256k1_ecdh_hash_functio * 0: scalar was invalid (zero or overflow) or hashfp returned 0 * Args: ctx: pointer to a context object. * Out: output: pointer to an array to be filled by hashfp. - * In: pubkey: a pointer to a secp256k1_pubkey containing an initialized public key. + * In: pubkey: pointer to a secp256k1_pubkey containing an initialized public key. * seckey: a 32-byte scalar with which to multiply the point. * hashfp: pointer to a hash function. If NULL, * secp256k1_ecdh_hash_function_sha256 is used @@ -48,7 +48,7 @@ SECP256K1_API_VAR const secp256k1_ecdh_hash_function secp256k1_ecdh_hash_functio * (can be NULL for secp256k1_ecdh_hash_function_sha256). */ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ecdh( - const secp256k1_context* ctx, + const secp256k1_context *ctx, unsigned char *output, const secp256k1_pubkey *pubkey, const unsigned char *seckey, diff --git a/include/secp256k1_ellswift.h b/include/secp256k1_ellswift.h new file mode 100644 index 0000000000..4cda5d5ca0 --- /dev/null +++ b/include/secp256k1_ellswift.h @@ -0,0 +1,200 @@ +#ifndef SECP256K1_ELLSWIFT_H +#define SECP256K1_ELLSWIFT_H + +#include "secp256k1.h" + +#ifdef __cplusplus +extern "C" { +#endif + +/* This module provides an implementation of ElligatorSwift as well as a + * version of x-only ECDH using it (including compatibility with BIP324). + * + * ElligatorSwift is described in https://eprint.iacr.org/2022/759 by + * Chavez-Saab, Rodriguez-Henriquez, and Tibouchi. It permits encoding + * uniformly chosen public keys as 64-byte arrays which are indistinguishable + * from uniformly random arrays. + * + * Let f be the function from pairs of field elements to point X coordinates, + * defined as follows (all operations modulo p = 2^256 - 2^32 - 977) + * f(u,t): + * - Let C = 0xa2d2ba93507f1df233770c2a797962cc61f6d15da14ecd47d8d27ae1cd5f852, + * a square root of -3. + * - If u=0, set u=1 instead. + * - If t=0, set t=1 instead. + * - If u^3 + t^2 + 7 = 0, multiply t by 2. + * - Let X = (u^3 + 7 - t^2) / (2 * t) + * - Let Y = (X + t) / (C * u) + * - Return the first in [u + 4 * Y^2, (-X/Y - u) / 2, (X/Y - u) / 2] that is an + * X coordinate on the curve (at least one of them is, for any u and t). + * + * Then an ElligatorSwift encoding of x consists of the 32-byte big-endian + * encodings of field elements u and t concatenated, where f(u,t) = x. + * The encoding algorithm is described in the paper, and effectively picks a + * uniformly random pair (u,t) among those which encode x. + * + * If the Y coordinate is relevant, it is given the same parity as t. + * + * Changes w.r.t. the paper: + * - The u=0, t=0, and u^3+t^2+7=0 conditions result in decoding to the point + * at infinity in the paper. Here they are remapped to finite points. + * - The paper uses an additional encoding bit for the parity of y. Here the + * parity of t is used (negating t does not affect the decoded x coordinate, + * so this is possible). + * + * For mathematical background about the scheme, see the doc/ellswift.md file. + */ + +/** A pointer to a function used by secp256k1_ellswift_xdh to hash the shared X + * coordinate along with the encoded public keys to a uniform shared secret. + * + * Returns: 1 if a shared secret was successfully computed. + * 0 will cause secp256k1_ellswift_xdh to fail and return 0. + * Other return values are not allowed, and the behaviour of + * secp256k1_ellswift_xdh is undefined for other return values. + * Out: output: pointer to an array to be filled by the function + * In: x32: pointer to the 32-byte serialized X coordinate + * of the resulting shared point (will not be NULL) + * ell_a64: pointer to the 64-byte encoded public key of party A + * (will not be NULL) + * ell_b64: pointer to the 64-byte encoded public key of party B + * (will not be NULL) + * data: arbitrary data pointer that is passed through + */ +typedef int (*secp256k1_ellswift_xdh_hash_function)( + unsigned char *output, + const unsigned char *x32, + const unsigned char *ell_a64, + const unsigned char *ell_b64, + void *data +); + +/** An implementation of an secp256k1_ellswift_xdh_hash_function which uses + * SHA256(prefix64 || ell_a64 || ell_b64 || x32), where prefix64 is the 64-byte + * array pointed to by data. */ +SECP256K1_API const secp256k1_ellswift_xdh_hash_function secp256k1_ellswift_xdh_hash_function_prefix; + +/** An implementation of an secp256k1_ellswift_xdh_hash_function compatible with + * BIP324. It returns H_tag(ell_a64 || ell_b64 || x32), where H_tag is the + * BIP340 tagged hash function with tag "bip324_ellswift_xonly_ecdh". Equivalent + * to secp256k1_ellswift_xdh_hash_function_prefix with prefix64 set to + * SHA256("bip324_ellswift_xonly_ecdh")||SHA256("bip324_ellswift_xonly_ecdh"). + * The data argument is ignored. */ +SECP256K1_API const secp256k1_ellswift_xdh_hash_function secp256k1_ellswift_xdh_hash_function_bip324; + +/** Construct a 64-byte ElligatorSwift encoding of a given pubkey. + * + * Returns: 1 always. + * Args: ctx: pointer to a context object + * Out: ell64: pointer to a 64-byte array to be filled + * In: pubkey: pointer to a secp256k1_pubkey containing an + * initialized public key + * rnd32: pointer to 32 bytes of randomness + * + * It is recommended that rnd32 consists of 32 uniformly random bytes, not + * known to any adversary trying to detect whether public keys are being + * encoded, though 16 bytes of randomness (padded to an array of 32 bytes, + * e.g., with zeros) suffice to make the result indistinguishable from + * uniform. The randomness in rnd32 must not be a deterministic function of + * the pubkey (it can be derived from the private key, though). + * + * It is not guaranteed that the computed encoding is stable across versions + * of the library, even if all arguments to this function (including rnd32) + * are the same. + * + * This function runs in variable time. + */ +SECP256K1_API int secp256k1_ellswift_encode( + const secp256k1_context *ctx, + unsigned char *ell64, + const secp256k1_pubkey *pubkey, + const unsigned char *rnd32 +) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4); + +/** Decode a 64-bytes ElligatorSwift encoded public key. + * + * Returns: always 1 + * Args: ctx: pointer to a context object + * Out: pubkey: pointer to a secp256k1_pubkey that will be filled + * In: ell64: pointer to a 64-byte array to decode + * + * This function runs in variable time. + */ +SECP256K1_API int secp256k1_ellswift_decode( + const secp256k1_context *ctx, + secp256k1_pubkey *pubkey, + const unsigned char *ell64 +) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3); + +/** Compute an ElligatorSwift public key for a secret key. + * + * Returns: 1: secret was valid, public key was stored. + * 0: secret was invalid, try again. + * Args: ctx: pointer to a context object (not secp256k1_context_static) + * Out: ell64: pointer to a 64-byte array to receive the ElligatorSwift + * public key + * In: seckey32: pointer to a 32-byte secret key + * auxrnd32: (optional) pointer to 32 bytes of randomness + * + * Constant time in seckey and auxrnd32, but not in the resulting public key. + * + * It is recommended that auxrnd32 contains 32 uniformly random bytes, though + * it is optional (and does result in encodings that are indistinguishable from + * uniform even without any auxrnd32). It differs from the (mandatory) rnd32 + * argument to secp256k1_ellswift_encode in this regard. + * + * This function can be used instead of calling secp256k1_ec_pubkey_create + * followed by secp256k1_ellswift_encode. It is safer, as it uses the secret + * key as entropy for the encoding (supplemented with auxrnd32, if provided). + * + * Like secp256k1_ellswift_encode, this function does not guarantee that the + * computed encoding is stable across versions of the library, even if all + * arguments (including auxrnd32) are the same. + */ +SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ellswift_create( + const secp256k1_context *ctx, + unsigned char *ell64, + const unsigned char *seckey32, + const unsigned char *auxrnd32 +) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3); + +/** Given a private key, and ElligatorSwift public keys sent in both directions, + * compute a shared secret using x-only Elliptic Curve Diffie-Hellman (ECDH). + * + * Returns: 1: shared secret was successfully computed + * 0: secret was invalid or hashfp returned 0 + * Args: ctx: pointer to a context object. + * Out: output: pointer to an array to be filled by hashfp. + * In: ell_a64: pointer to the 64-byte encoded public key of party A + * (will not be NULL) + * ell_b64: pointer to the 64-byte encoded public key of party B + * (will not be NULL) + * seckey32: pointer to our 32-byte secret key + * party: boolean indicating which party we are: zero if we are + * party A, non-zero if we are party B. seckey32 must be + * the private key corresponding to that party's ell_?64. + * This correspondence is not checked. + * hashfp: pointer to a hash function. + * data: arbitrary data pointer passed through to hashfp. + * + * Constant time in seckey32. + * + * This function is more efficient than decoding the public keys, and performing + * ECDH on them. + */ +SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ellswift_xdh( + const secp256k1_context *ctx, + unsigned char *output, + const unsigned char *ell_a64, + const unsigned char *ell_b64, + const unsigned char *seckey32, + int party, + secp256k1_ellswift_xdh_hash_function hashfp, + void *data +) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4) SECP256K1_ARG_NONNULL(5) SECP256K1_ARG_NONNULL(7); + +#ifdef __cplusplus +} +#endif + +#endif /* SECP256K1_ELLSWIFT_H */ diff --git a/include/secp256k1_extrakeys.h b/include/secp256k1_extrakeys.h index 3591bc0012..1a517ded96 100644 --- a/include/secp256k1_extrakeys.h +++ b/include/secp256k1_extrakeys.h @@ -19,7 +19,7 @@ extern "C" { * use secp256k1_xonly_pubkey_serialize and secp256k1_xonly_pubkey_parse. To * compare keys, use secp256k1_xonly_pubkey_cmp. */ -typedef struct { +typedef struct secp256k1_xonly_pubkey { unsigned char data[64]; } secp256k1_xonly_pubkey; @@ -30,7 +30,7 @@ typedef struct { * guaranteed to be portable between different platforms or versions. It is * however guaranteed to be 96 bytes in size, and can be safely copied/moved. */ -typedef struct { +typedef struct secp256k1_keypair { unsigned char data[96]; } secp256k1_keypair; @@ -39,14 +39,14 @@ typedef struct { * Returns: 1 if the public key was fully valid. * 0 if the public key could not be parsed or is invalid. * - * Args: ctx: a secp256k1 context object. + * Args: ctx: pointer to a context object. * Out: pubkey: pointer to a pubkey object. If 1 is returned, it is set to a * parsed version of input. If not, it's set to an invalid value. * In: input32: pointer to a serialized xonly_pubkey. */ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_xonly_pubkey_parse( - const secp256k1_context* ctx, - secp256k1_xonly_pubkey* pubkey, + const secp256k1_context *ctx, + secp256k1_xonly_pubkey *pubkey, const unsigned char *input32 ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3); @@ -54,14 +54,14 @@ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_xonly_pubkey_parse( * * Returns: 1 always. * - * Args: ctx: a secp256k1 context object. - * Out: output32: a pointer to a 32-byte array to place the serialized key in. - * In: pubkey: a pointer to a secp256k1_xonly_pubkey containing an initialized public key. + * Args: ctx: pointer to a context object. + * Out: output32: pointer to a 32-byte array to place the serialized key in. + * In: pubkey: pointer to a secp256k1_xonly_pubkey containing an initialized public key. */ SECP256K1_API int secp256k1_xonly_pubkey_serialize( - const secp256k1_context* ctx, + const secp256k1_context *ctx, unsigned char *output32, - const secp256k1_xonly_pubkey* pubkey + const secp256k1_xonly_pubkey *pubkey ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3); /** Compare two x-only public keys using lexicographic order @@ -69,14 +69,14 @@ SECP256K1_API int secp256k1_xonly_pubkey_serialize( * Returns: <0 if the first public key is less than the second * >0 if the first public key is greater than the second * 0 if the two public keys are equal - * Args: ctx: a secp256k1 context object. + * Args: ctx: pointer to a context object. * In: pubkey1: first public key to compare * pubkey2: second public key to compare */ SECP256K1_API int secp256k1_xonly_pubkey_cmp( - const secp256k1_context* ctx, - const secp256k1_xonly_pubkey* pk1, - const secp256k1_xonly_pubkey* pk2 + const secp256k1_context *ctx, + const secp256k1_xonly_pubkey *pk1, + const secp256k1_xonly_pubkey *pk2 ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3); /** Converts a secp256k1_pubkey into a secp256k1_xonly_pubkey. @@ -90,8 +90,8 @@ SECP256K1_API int secp256k1_xonly_pubkey_cmp( * the negation of the pubkey and set to 0 otherwise. * In: pubkey: pointer to a public key that is converted. */ -SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_xonly_pubkey_from_pubkey( - const secp256k1_context* ctx, +SECP256K1_API int secp256k1_xonly_pubkey_from_pubkey( + const secp256k1_context *ctx, secp256k1_xonly_pubkey *xonly_pubkey, int *pk_parity, const secp256k1_pubkey *pubkey @@ -112,13 +112,13 @@ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_xonly_pubkey_from_pubke * Out: output_pubkey: pointer to a public key to store the result. Will be set * to an invalid value if this function returns 0. * In: internal_pubkey: pointer to an x-only pubkey to apply the tweak to. - * tweak32: pointer to a 32-byte tweak. If the tweak is invalid - * according to secp256k1_ec_seckey_verify, this function - * returns 0. For uniformly random 32-byte arrays the - * chance of being invalid is negligible (around 1 in 2^128). + * tweak32: pointer to a 32-byte tweak, which must be valid + * according to secp256k1_ec_seckey_verify or 32 zero + * bytes. For uniformly random 32-byte tweaks, the chance of + * being invalid is negligible (around 1 in 2^128). */ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_xonly_pubkey_tweak_add( - const secp256k1_context* ctx, + const secp256k1_context *ctx, secp256k1_pubkey *output_pubkey, const secp256k1_xonly_pubkey *internal_pubkey, const unsigned char *tweak32 @@ -148,23 +148,26 @@ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_xonly_pubkey_tweak_add( * tweak32: pointer to a 32-byte tweak. */ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_xonly_pubkey_tweak_add_check( - const secp256k1_context* ctx, + const secp256k1_context *ctx, const unsigned char *tweaked_pubkey32, int tweaked_pk_parity, const secp256k1_xonly_pubkey *internal_pubkey, const unsigned char *tweak32 ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(4) SECP256K1_ARG_NONNULL(5); -/** Compute the keypair for a secret key. +/** Compute the keypair for a valid secret key. * - * Returns: 1: secret was valid, keypair is ready to use - * 0: secret was invalid, try again with a different secret + * See the documentation of `secp256k1_ec_seckey_verify` for more information + * about the validity of secret keys. + * + * Returns: 1: secret key is valid + * 0: secret key is invalid * Args: ctx: pointer to a context object (not secp256k1_context_static). * Out: keypair: pointer to the created keypair. * In: seckey: pointer to a 32-byte secret key. */ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_keypair_create( - const secp256k1_context* ctx, + const secp256k1_context *ctx, secp256k1_keypair *keypair, const unsigned char *seckey ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3); @@ -176,8 +179,8 @@ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_keypair_create( * Out: seckey: pointer to a 32-byte buffer for the secret key. * In: keypair: pointer to a keypair. */ -SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_keypair_sec( - const secp256k1_context* ctx, +SECP256K1_API int secp256k1_keypair_sec( + const secp256k1_context *ctx, unsigned char *seckey, const secp256k1_keypair *keypair ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3); @@ -185,13 +188,12 @@ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_keypair_sec( /** Get the public key from a keypair. * * Returns: 1 always. - * Args: ctx: pointer to a context object. - * Out: pubkey: pointer to a pubkey object. If 1 is returned, it is set to - * the keypair public key. If not, it's set to an invalid value. + * Args: ctx: pointer to a context object. + * Out: pubkey: pointer to a pubkey object, set to the keypair public key. * In: keypair: pointer to a keypair. */ -SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_keypair_pub( - const secp256k1_context* ctx, +SECP256K1_API int secp256k1_keypair_pub( + const secp256k1_context *ctx, secp256k1_pubkey *pubkey, const secp256k1_keypair *keypair ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3); @@ -203,15 +205,14 @@ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_keypair_pub( * * Returns: 1 always. * Args: ctx: pointer to a context object. - * Out: pubkey: pointer to an xonly_pubkey object. If 1 is returned, it is set - * to the keypair public key after converting it to an - * xonly_pubkey. If not, it's set to an invalid value. + * Out: pubkey: pointer to an xonly_pubkey object, set to the keypair + * public key after converting it to an xonly_pubkey. * pk_parity: Ignored if NULL. Otherwise, pointer to an integer that will be set to the * pk_parity argument of secp256k1_xonly_pubkey_from_pubkey. * In: keypair: pointer to a keypair. */ -SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_keypair_xonly_pub( - const secp256k1_context* ctx, +SECP256K1_API int secp256k1_keypair_xonly_pub( + const secp256k1_context *ctx, secp256k1_xonly_pubkey *pubkey, int *pk_parity, const secp256k1_keypair *keypair @@ -231,13 +232,13 @@ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_keypair_xonly_pub( * Args: ctx: pointer to a context object. * In/Out: keypair: pointer to a keypair to apply the tweak to. Will be set to * an invalid value if this function returns 0. - * In: tweak32: pointer to a 32-byte tweak. If the tweak is invalid according - * to secp256k1_ec_seckey_verify, this function returns 0. For - * uniformly random 32-byte arrays the chance of being invalid - * is negligible (around 1 in 2^128). + * In: tweak32: pointer to a 32-byte tweak, which must be valid according to + * secp256k1_ec_seckey_verify or 32 zero bytes. For uniformly + * random 32-byte tweaks, the chance of being invalid is + * negligible (around 1 in 2^128). */ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_keypair_xonly_tweak_add( - const secp256k1_context* ctx, + const secp256k1_context *ctx, secp256k1_keypair *keypair, const unsigned char *tweak32 ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3); diff --git a/include/secp256k1_musig.h b/include/secp256k1_musig.h new file mode 100644 index 0000000000..11b8f08c88 --- /dev/null +++ b/include/secp256k1_musig.h @@ -0,0 +1,588 @@ +#ifndef SECP256K1_MUSIG_H +#define SECP256K1_MUSIG_H + +#include "secp256k1_extrakeys.h" + +#ifdef __cplusplus +extern "C" { +#endif + +#include +#include + +/** This module implements BIP 327 "MuSig2 for BIP340-compatible + * Multi-Signatures" + * (https://github.com/bitcoin/bips/blob/master/bip-0327.mediawiki) + * v1.0.0. You can find an example demonstrating the musig module in + * examples/musig.c. + * + * The module also supports BIP 341 ("Taproot") public key tweaking. + * + * It is recommended to read the documentation in this include file carefully. + * Further notes on API usage can be found in doc/musig.md + * + * Since the first version of MuSig is essentially replaced by MuSig2, we use + * MuSig, musig and MuSig2 synonymously unless noted otherwise. + */ + +/** Opaque data structures + * + * The exact representation of data inside the opaque data structures is + * implementation defined and not guaranteed to be portable between different + * platforms or versions. With the exception of `secp256k1_musig_secnonce`, the + * data structures can be safely copied/moved. If you need to convert to a + * format suitable for storage, transmission, or comparison, use the + * corresponding serialization and parsing functions. + */ + +/** Opaque data structure that caches information about public key aggregation. + * + * Guaranteed to be 197 bytes in size. No serialization and parsing functions + * (yet). + */ +typedef struct secp256k1_musig_keyagg_cache { + unsigned char data[197]; +} secp256k1_musig_keyagg_cache; + +/** Opaque data structure that holds a signer's _secret_ nonce. + * + * Guaranteed to be 132 bytes in size. + * + * WARNING: This structure MUST NOT be copied or read or written to directly. A + * signer who is online throughout the whole process and can keep this + * structure in memory can use the provided API functions for a safe standard + * workflow. + * + * Copying this data structure can result in nonce reuse which will leak the + * secret signing key. + */ +typedef struct secp256k1_musig_secnonce { + unsigned char data[132]; +} secp256k1_musig_secnonce; + +/** Opaque data structure that holds a signer's public nonce. + * + * Guaranteed to be 132 bytes in size. Serialized and parsed with + * `musig_pubnonce_serialize` and `musig_pubnonce_parse`. + */ +typedef struct secp256k1_musig_pubnonce { + unsigned char data[132]; +} secp256k1_musig_pubnonce; + +/** Opaque data structure that holds an aggregate public nonce. + * + * Guaranteed to be 132 bytes in size. Serialized and parsed with + * `musig_aggnonce_serialize` and `musig_aggnonce_parse`. + */ +typedef struct secp256k1_musig_aggnonce { + unsigned char data[132]; +} secp256k1_musig_aggnonce; + +/** Opaque data structure that holds a MuSig session. + * + * This structure is not required to be kept secret for the signing protocol to + * be secure. Guaranteed to be 133 bytes in size. No serialization and parsing + * functions (yet). + */ +typedef struct secp256k1_musig_session { + unsigned char data[133]; +} secp256k1_musig_session; + +/** Opaque data structure that holds a partial MuSig signature. + * + * Guaranteed to be 36 bytes in size. Serialized and parsed with + * `musig_partial_sig_serialize` and `musig_partial_sig_parse`. + */ +typedef struct secp256k1_musig_partial_sig { + unsigned char data[36]; +} secp256k1_musig_partial_sig; + +/** Parse a signer's public nonce. + * + * Returns: 1 when the nonce could be parsed, 0 otherwise. + * Args: ctx: pointer to a context object + * Out: nonce: pointer to a nonce object + * In: in66: pointer to the 66-byte nonce to be parsed + */ +SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_musig_pubnonce_parse( + const secp256k1_context *ctx, + secp256k1_musig_pubnonce *nonce, + const unsigned char *in66 +) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3); + +/** Serialize a signer's public nonce + * + * Returns: 1 always + * Args: ctx: pointer to a context object + * Out: out66: pointer to a 66-byte array to store the serialized nonce + * In: nonce: pointer to the nonce + */ +SECP256K1_API int secp256k1_musig_pubnonce_serialize( + const secp256k1_context *ctx, + unsigned char *out66, + const secp256k1_musig_pubnonce *nonce +) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3); + +/** Parse an aggregate public nonce. + * + * Returns: 1 when the nonce could be parsed, 0 otherwise. + * Args: ctx: pointer to a context object + * Out: nonce: pointer to a nonce object + * In: in66: pointer to the 66-byte nonce to be parsed + */ +SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_musig_aggnonce_parse( + const secp256k1_context *ctx, + secp256k1_musig_aggnonce *nonce, + const unsigned char *in66 +) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3); + +/** Serialize an aggregate public nonce + * + * Returns: 1 always + * Args: ctx: pointer to a context object + * Out: out66: pointer to a 66-byte array to store the serialized nonce + * In: nonce: pointer to the nonce + */ +SECP256K1_API int secp256k1_musig_aggnonce_serialize( + const secp256k1_context *ctx, + unsigned char *out66, + const secp256k1_musig_aggnonce *nonce +) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3); + +/** Parse a MuSig partial signature. + * + * Returns: 1 when the signature could be parsed, 0 otherwise. + * Args: ctx: pointer to a context object + * Out: sig: pointer to a signature object + * In: in32: pointer to the 32-byte signature to be parsed + */ +SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_musig_partial_sig_parse( + const secp256k1_context *ctx, + secp256k1_musig_partial_sig *sig, + const unsigned char *in32 +) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3); + +/** Serialize a MuSig partial signature + * + * Returns: 1 always + * Args: ctx: pointer to a context object + * Out: out32: pointer to a 32-byte array to store the serialized signature + * In: sig: pointer to the signature + */ +SECP256K1_API int secp256k1_musig_partial_sig_serialize( + const secp256k1_context *ctx, + unsigned char *out32, + const secp256k1_musig_partial_sig *sig +) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3); + +/** Computes an aggregate public key and uses it to initialize a keyagg_cache + * + * Different orders of `pubkeys` result in different `agg_pk`s. + * + * Before aggregating, the pubkeys can be sorted with `secp256k1_ec_pubkey_sort` + * which ensures the same `agg_pk` result for the same multiset of pubkeys. + * This is useful to do before `pubkey_agg`, such that the order of pubkeys + * does not affect the aggregate public key. + * + * Returns: 0 if the arguments are invalid, 1 otherwise + * Args: ctx: pointer to a context object + * Out: agg_pk: the MuSig-aggregated x-only public key. If you do not need it, + * this arg can be NULL. + * keyagg_cache: if non-NULL, pointer to a musig_keyagg_cache struct that + * is required for signing (or observing the signing session + * and verifying partial signatures). + * In: pubkeys: input array of pointers to public keys to aggregate. The order + * is important; a different order will result in a different + * aggregate public key. + * n_pubkeys: length of pubkeys array. Must be greater than 0. + */ +SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_musig_pubkey_agg( + const secp256k1_context *ctx, + secp256k1_xonly_pubkey *agg_pk, + secp256k1_musig_keyagg_cache *keyagg_cache, + const secp256k1_pubkey * const *pubkeys, + size_t n_pubkeys +) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(4); + +/** Obtain the aggregate public key from a keyagg_cache. + * + * This is only useful if you need the non-xonly public key, in particular for + * plain (non-xonly) tweaking or batch-verifying multiple key aggregations + * (not implemented). + * + * Returns: 0 if the arguments are invalid, 1 otherwise + * Args: ctx: pointer to a context object + * Out: agg_pk: the MuSig-aggregated public key. + * In: keyagg_cache: pointer to a `musig_keyagg_cache` struct initialized by + * `musig_pubkey_agg` + */ +SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_musig_pubkey_get( + const secp256k1_context *ctx, + secp256k1_pubkey *agg_pk, + const secp256k1_musig_keyagg_cache *keyagg_cache +) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3); + +/** Apply plain "EC" tweaking to a public key in a given keyagg_cache by adding + * the generator multiplied with `tweak32` to it. This is useful for deriving + * child keys from an aggregate public key via BIP 32 where `tweak32` is set to + * a hash as defined in BIP 32. + * + * Callers are responsible for deriving `tweak32` in a way that does not reduce + * the security of MuSig (for example, by following BIP 32). + * + * The tweaking method is the same as `secp256k1_ec_pubkey_tweak_add`. So after + * the following pseudocode buf and buf2 have identical contents (absent + * earlier failures). + * + * secp256k1_musig_pubkey_agg(..., keyagg_cache, pubkeys, ...) + * secp256k1_musig_pubkey_get(..., agg_pk, keyagg_cache) + * secp256k1_musig_pubkey_ec_tweak_add(..., output_pk, tweak32, keyagg_cache) + * secp256k1_ec_pubkey_serialize(..., buf, ..., output_pk, ...) + * secp256k1_ec_pubkey_tweak_add(..., agg_pk, tweak32) + * secp256k1_ec_pubkey_serialize(..., buf2, ..., agg_pk, ...) + * + * This function is required if you want to _sign_ for a tweaked aggregate key. + * If you are only computing a public key but not intending to create a + * signature for it, use `secp256k1_ec_pubkey_tweak_add` instead. + * + * Returns: 0 if the arguments are invalid, 1 otherwise + * Args: ctx: pointer to a context object + * Out: output_pubkey: pointer to a public key to store the result. Will be set + * to an invalid value if this function returns 0. If you + * do not need it, this arg can be NULL. + * In/Out: keyagg_cache: pointer to a `musig_keyagg_cache` struct initialized by + * `musig_pubkey_agg` + * In: tweak32: pointer to a 32-byte tweak. The tweak is valid if it passes + * `secp256k1_ec_seckey_verify` and is not equal to the + * secret key corresponding to the public key represented + * by keyagg_cache or its negation. For uniformly random + * 32-byte arrays the chance of being invalid is + * negligible (around 1 in 2^128). + */ +SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_musig_pubkey_ec_tweak_add( + const secp256k1_context *ctx, + secp256k1_pubkey *output_pubkey, + secp256k1_musig_keyagg_cache *keyagg_cache, + const unsigned char *tweak32 +) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4); + +/** Apply x-only tweaking to a public key in a given keyagg_cache by adding the + * generator multiplied with `tweak32` to it. This is useful for creating + * Taproot outputs where `tweak32` is set to a TapTweak hash as defined in BIP + * 341. + * + * Callers are responsible for deriving `tweak32` in a way that does not reduce + * the security of MuSig (for example, by following Taproot BIP 341). + * + * The tweaking method is the same as `secp256k1_xonly_pubkey_tweak_add`. So in + * the following pseudocode xonly_pubkey_tweak_add_check (absent earlier + * failures) returns 1. + * + * secp256k1_musig_pubkey_agg(..., agg_pk, keyagg_cache, pubkeys, ...) + * secp256k1_musig_pubkey_xonly_tweak_add(..., output_pk, keyagg_cache, tweak32) + * secp256k1_xonly_pubkey_serialize(..., buf, output_pk) + * secp256k1_xonly_pubkey_tweak_add_check(..., buf, ..., agg_pk, tweak32) + * + * This function is required if you want to _sign_ for a tweaked aggregate key. + * If you are only computing a public key but not intending to create a + * signature for it, use `secp256k1_xonly_pubkey_tweak_add` instead. + * + * Returns: 0 if the arguments are invalid, 1 otherwise + * Args: ctx: pointer to a context object + * Out: output_pubkey: pointer to a public key to store the result. Will be set + * to an invalid value if this function returns 0. If you + * do not need it, this arg can be NULL. + * In/Out: keyagg_cache: pointer to a `musig_keyagg_cache` struct initialized by + * `musig_pubkey_agg` + * In: tweak32: pointer to a 32-byte tweak. The tweak is valid if it passes + * `secp256k1_ec_seckey_verify` and is not equal to the + * secret key corresponding to the public key represented + * by keyagg_cache or its negation. For uniformly random + * 32-byte arrays the chance of being invalid is + * negligible (around 1 in 2^128). + */ +SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_musig_pubkey_xonly_tweak_add( + const secp256k1_context *ctx, + secp256k1_pubkey *output_pubkey, + secp256k1_musig_keyagg_cache *keyagg_cache, + const unsigned char *tweak32 +) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4); + +/** Starts a signing session by generating a nonce + * + * This function outputs a secret nonce that will be required for signing and a + * corresponding public nonce that is intended to be sent to other signers. + * + * MuSig differs from regular Schnorr signing in that implementers _must_ take + * special care to not reuse a nonce. This can be ensured by following these rules: + * + * 1. Each call to this function must have a UNIQUE session_secrand32 that must + * NOT BE REUSED in subsequent calls to this function and must be KEPT + * SECRET (even from other signers). + * 2. If you already know the seckey, message or aggregate public key + * cache, they can be optionally provided to derive the nonce and increase + * misuse-resistance. The extra_input32 argument can be used to provide + * additional data that does not repeat in normal scenarios, such as the + * current time. + * 3. Avoid copying (or serializing) the secnonce. This reduces the possibility + * that it is used more than once for signing. + * + * If you don't have access to good randomness for session_secrand32, but you + * have access to a non-repeating counter, then see + * secp256k1_musig_nonce_gen_counter. + * + * Remember that nonce reuse will leak the secret key! + * Note that using the same seckey for multiple MuSig sessions is fine. + * + * Returns: 0 if the arguments are invalid and 1 otherwise + * Args: ctx: pointer to a context object (not secp256k1_context_static) + * Out: secnonce: pointer to a structure to store the secret nonce + * pubnonce: pointer to a structure to store the public nonce + * In/Out: + * session_secrand32: a 32-byte session_secrand32 as explained above. Must be unique to this + * call to secp256k1_musig_nonce_gen and must be uniformly + * random. If the function call is successful, the + * session_secrand32 buffer is invalidated to prevent reuse. + * In: + * seckey: the 32-byte secret key that will later be used for signing, if + * already known (can be NULL) + * pubkey: public key of the signer creating the nonce. The secnonce + * output of this function cannot be used to sign for any + * other public key. While the public key should correspond + * to the provided seckey, a mismatch will not cause the + * function to return 0. + * msg32: the 32-byte message that will later be signed, if already known + * (can be NULL) + * keyagg_cache: pointer to the keyagg_cache that was used to create the aggregate + * (and potentially tweaked) public key if already known + * (can be NULL) + * extra_input32: an optional 32-byte array that is input to the nonce + * derivation function (can be NULL) + */ +SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_musig_nonce_gen( + const secp256k1_context *ctx, + secp256k1_musig_secnonce *secnonce, + secp256k1_musig_pubnonce *pubnonce, + unsigned char *session_secrand32, + const unsigned char *seckey, + const secp256k1_pubkey *pubkey, + const unsigned char *msg32, + const secp256k1_musig_keyagg_cache *keyagg_cache, + const unsigned char *extra_input32 +) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4) SECP256K1_ARG_NONNULL(6); + + +/** Alternative way to generate a nonce and start a signing session + * + * This function outputs a secret nonce that will be required for signing and a + * corresponding public nonce that is intended to be sent to other signers. + * + * This function differs from `secp256k1_musig_nonce_gen` by accepting a + * non-repeating counter value instead of a secret random value. This requires + * that a secret key is provided to `secp256k1_musig_nonce_gen_counter` + * (through the keypair argument), as opposed to `secp256k1_musig_nonce_gen` + * where the seckey argument is optional. + * + * MuSig differs from regular Schnorr signing in that implementers _must_ take + * special care to not reuse a nonce. This can be ensured by following these rules: + * + * 1. The nonrepeating_cnt argument must be a counter value that never repeats, + * i.e., you must never call `secp256k1_musig_nonce_gen_counter` twice with + * the same keypair and nonrepeating_cnt value. For example, this implies + * that if the same keypair is used with `secp256k1_musig_nonce_gen_counter` + * on multiple devices, none of the devices should have the same counter + * value as any other device. + * 2. If the seckey, message or aggregate public key cache is already available + * at this stage, any of these can be optionally provided, in which case + * they will be used in the derivation of the nonce and increase + * misuse-resistance. The extra_input32 argument can be used to provide + * additional data that does not repeat in normal scenarios, such as the + * current time. + * 3. Avoid copying (or serializing) the secnonce. This reduces the possibility + * that it is used more than once for signing. + * + * Remember that nonce reuse will leak the secret key! + * Note that using the same keypair for multiple MuSig sessions is fine. + * + * Returns: 0 if the arguments are invalid and 1 otherwise + * Args: ctx: pointer to a context object (not secp256k1_context_static) + * Out: secnonce: pointer to a structure to store the secret nonce + * pubnonce: pointer to a structure to store the public nonce + * In: + * nonrepeating_cnt: the value of a counter as explained above. Must be + * unique to this call to secp256k1_musig_nonce_gen. + * keypair: keypair of the signer creating the nonce. The secnonce + * output of this function cannot be used to sign for any + * other keypair. + * msg32: the 32-byte message that will later be signed, if already known + * (can be NULL) + * keyagg_cache: pointer to the keyagg_cache that was used to create the aggregate + * (and potentially tweaked) public key if already known + * (can be NULL) + * extra_input32: an optional 32-byte array that is input to the nonce + * derivation function (can be NULL) + */ +SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_musig_nonce_gen_counter( + const secp256k1_context *ctx, + secp256k1_musig_secnonce *secnonce, + secp256k1_musig_pubnonce *pubnonce, + uint64_t nonrepeating_cnt, + const secp256k1_keypair *keypair, + const unsigned char *msg32, + const secp256k1_musig_keyagg_cache *keyagg_cache, + const unsigned char *extra_input32 +) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(5); + +/** Aggregates the nonces of all signers into a single nonce + * + * This can be done by an untrusted party to reduce the communication + * between signers. Instead of everyone sending nonces to everyone else, there + * can be one party receiving all nonces, aggregating the nonces with this + * function and then sending only the aggregate nonce back to the signers. + * + * If the aggregator does not compute the aggregate nonce correctly, the final + * signature will be invalid. + * + * Returns: 0 if the arguments are invalid, 1 otherwise + * Args: ctx: pointer to a context object + * Out: aggnonce: pointer to an aggregate public nonce object for + * musig_nonce_process + * In: pubnonces: array of pointers to public nonces sent by the + * signers + * n_pubnonces: number of elements in the pubnonces array. Must be + * greater than 0. + */ +SECP256K1_API int secp256k1_musig_nonce_agg( + const secp256k1_context *ctx, + secp256k1_musig_aggnonce *aggnonce, + const secp256k1_musig_pubnonce * const *pubnonces, + size_t n_pubnonces +) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3); + +/** Takes the aggregate nonce and creates a session that is required for signing + * and verification of partial signatures. + * + * Returns: 0 if the arguments are invalid, 1 otherwise + * Args: ctx: pointer to a context object + * Out: session: pointer to a struct to store the session + * In: aggnonce: pointer to an aggregate public nonce object that is the + * output of musig_nonce_agg + * msg32: the 32-byte message to sign + * keyagg_cache: pointer to the keyagg_cache that was used to create the + * aggregate (and potentially tweaked) pubkey + */ +SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_musig_nonce_process( + const secp256k1_context *ctx, + secp256k1_musig_session *session, + const secp256k1_musig_aggnonce *aggnonce, + const unsigned char *msg32, + const secp256k1_musig_keyagg_cache *keyagg_cache +) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4) SECP256K1_ARG_NONNULL(5); + +/** Produces a partial signature + * + * This function overwrites the given secnonce with zeros and will abort if given a + * secnonce that is all zeros. This is a best effort attempt to protect against nonce + * reuse. However, this is of course easily defeated if the secnonce has been + * copied (or serialized). Remember that nonce reuse will leak the secret key! + * + * For signing to succeed, the secnonce provided to this function must have + * been generated for the provided keypair. This means that when signing for a + * keypair consisting of a seckey and pubkey, the secnonce must have been + * created by calling musig_nonce_gen with that pubkey. Otherwise, the + * illegal_callback is called. + * + * This function does not verify the output partial signature, deviating from + * the BIP 327 specification. It is recommended to verify the output partial + * signature with `secp256k1_musig_partial_sig_verify` to prevent random or + * adversarially provoked computation errors. + * + * Returns: 0 if the arguments are invalid or the provided secnonce has already + * been used for signing, 1 otherwise + * Args: ctx: pointer to a context object + * Out: partial_sig: pointer to struct to store the partial signature + * In/Out: secnonce: pointer to the secnonce struct created in + * musig_nonce_gen that has been never used in a + * partial_sign call before and has been created for the + * keypair + * In: keypair: pointer to keypair to sign the message with + * keyagg_cache: pointer to the keyagg_cache that was output when the + * aggregate public key for this session + * session: pointer to the session that was created with + * musig_nonce_process + */ +SECP256K1_API int secp256k1_musig_partial_sign( + const secp256k1_context *ctx, + secp256k1_musig_partial_sig *partial_sig, + secp256k1_musig_secnonce *secnonce, + const secp256k1_keypair *keypair, + const secp256k1_musig_keyagg_cache *keyagg_cache, + const secp256k1_musig_session *session +) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4) SECP256K1_ARG_NONNULL(5) SECP256K1_ARG_NONNULL(6); + +/** Verifies an individual signer's partial signature + * + * The signature is verified for a specific signing session. In order to avoid + * accidentally verifying a signature from a different or non-existing signing + * session, you must ensure the following: + * 1. The `keyagg_cache` argument is identical to the one used to create the + * `session` with `musig_nonce_process`. + * 2. The `pubkey` argument must be identical to the one sent by the signer + * before aggregating it with `musig_pubkey_agg` to create the + * `keyagg_cache`. + * 3. The `pubnonce` argument must be identical to the one sent by the signer + * before aggregating it with `musig_nonce_agg` and using the result to + * create the `session` with `musig_nonce_process`. + * + * It is not required to call this function in regular MuSig sessions, because + * if any partial signature does not verify, the final signature will not + * verify either, so the problem will be caught. However, this function + * provides the ability to identify which specific partial signature fails + * verification. + * + * Returns: 0 if the arguments are invalid or the partial signature does not + * verify, 1 otherwise + * Args ctx: pointer to a context object + * In: partial_sig: pointer to partial signature to verify, sent by + * the signer associated with `pubnonce` and `pubkey` + * pubnonce: public nonce of the signer in the signing session + * pubkey: public key of the signer in the signing session + * keyagg_cache: pointer to the keyagg_cache that was output when the + * aggregate public key for this signing session + * session: pointer to the session that was created with + * `musig_nonce_process` + */ +SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_musig_partial_sig_verify( + const secp256k1_context *ctx, + const secp256k1_musig_partial_sig *partial_sig, + const secp256k1_musig_pubnonce *pubnonce, + const secp256k1_pubkey *pubkey, + const secp256k1_musig_keyagg_cache *keyagg_cache, + const secp256k1_musig_session *session +) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4) SECP256K1_ARG_NONNULL(5) SECP256K1_ARG_NONNULL(6); + +/** Aggregates partial signatures + * + * Returns: 0 if the arguments are invalid, 1 otherwise (which does NOT mean + * the resulting signature verifies). + * Args: ctx: pointer to a context object + * Out: sig64: complete (but possibly invalid) Schnorr signature + * In: session: pointer to the session that was created with + * musig_nonce_process + * partial_sigs: array of pointers to partial signatures to aggregate + * n_sigs: number of elements in the partial_sigs array. Must be + * greater than 0. + */ +SECP256K1_API int secp256k1_musig_partial_sig_agg( + const secp256k1_context *ctx, + unsigned char *sig64, + const secp256k1_musig_session *session, + const secp256k1_musig_partial_sig * const *partial_sigs, + size_t n_sigs +) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4); + +#ifdef __cplusplus +} +#endif + +#endif diff --git a/include/secp256k1_preallocated.h b/include/secp256k1_preallocated.h index ffa96dd339..f2d95c245e 100644 --- a/include/secp256k1_preallocated.h +++ b/include/secp256k1_preallocated.h @@ -52,8 +52,8 @@ SECP256K1_API size_t secp256k1_context_preallocated_size( * in the memory. In simpler words, the prealloc pointer (or any pointer derived * from it) should not be used during the lifetime of the context object. * - * Returns: a newly created context object. - * In: prealloc: a pointer to a rewritable contiguous block of memory of + * Returns: pointer to newly created context object. + * In: prealloc: pointer to a rewritable contiguous block of memory of * size at least secp256k1_context_preallocated_size(flags) * bytes, as detailed above. * flags: which parts of the context to initialize. @@ -63,8 +63,8 @@ SECP256K1_API size_t secp256k1_context_preallocated_size( * See also secp256k1_context_randomize (in secp256k1.h) * and secp256k1_context_preallocated_destroy. */ -SECP256K1_API secp256k1_context* secp256k1_context_preallocated_create( - void* prealloc, +SECP256K1_API secp256k1_context *secp256k1_context_preallocated_create( + void *prealloc, unsigned int flags ) SECP256K1_ARG_NONNULL(1) SECP256K1_WARN_UNUSED_RESULT; @@ -72,10 +72,10 @@ SECP256K1_API secp256k1_context* secp256k1_context_preallocated_create( * caller-provided memory. * * Returns: the required size of the caller-provided memory block. - * In: ctx: an existing context to copy. + * In: ctx: pointer to a context to copy. */ SECP256K1_API size_t secp256k1_context_preallocated_clone_size( - const secp256k1_context* ctx + const secp256k1_context *ctx ) SECP256K1_ARG_NONNULL(1) SECP256K1_WARN_UNUSED_RESULT; /** Copy a secp256k1 context object into caller-provided memory. @@ -91,15 +91,15 @@ SECP256K1_API size_t secp256k1_context_preallocated_clone_size( * Cloning secp256k1_context_static is not possible, and should not be emulated by * the caller (e.g., using memcpy). Create a new context instead. * - * Returns: a newly created context object. - * Args: ctx: an existing context to copy (not secp256k1_context_static). - * In: prealloc: a pointer to a rewritable contiguous block of memory of + * Returns: pointer to a newly created context object. + * Args: ctx: pointer to a context to copy (not secp256k1_context_static). + * In: prealloc: pointer to a rewritable contiguous block of memory of * size at least secp256k1_context_preallocated_size(flags) * bytes, as detailed above. */ -SECP256K1_API secp256k1_context* secp256k1_context_preallocated_clone( - const secp256k1_context* ctx, - void* prealloc +SECP256K1_API secp256k1_context *secp256k1_context_preallocated_clone( + const secp256k1_context *ctx, + void *prealloc ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_WARN_UNUSED_RESULT; /** Destroy a secp256k1 context object that has been created in @@ -118,13 +118,13 @@ SECP256K1_API secp256k1_context* secp256k1_context_preallocated_clone( * preallocated pointer given to secp256k1_context_preallocated_create or * secp256k1_context_preallocated_clone. * - * Args: ctx: an existing context to destroy, constructed using + * Args: ctx: pointer to a context to destroy, constructed using * secp256k1_context_preallocated_create or * secp256k1_context_preallocated_clone * (i.e., not secp256k1_context_static). */ SECP256K1_API void secp256k1_context_preallocated_destroy( - secp256k1_context* ctx + secp256k1_context *ctx ) SECP256K1_ARG_NONNULL(1); #ifdef __cplusplus diff --git a/include/secp256k1_recovery.h b/include/secp256k1_recovery.h index 824c604025..2430f99397 100644 --- a/include/secp256k1_recovery.h +++ b/include/secp256k1_recovery.h @@ -7,7 +7,7 @@ extern "C" { #endif -/** Opaque data structured that holds a parsed ECDSA signature, +/** Opaque data structure that holds a parsed ECDSA signature, * supporting pubkey recovery. * * The exact representation of data inside is implementation defined and not @@ -21,21 +21,21 @@ extern "C" { * recoverability) will have identical representation, so they can be * memcmp'ed. */ -typedef struct { +typedef struct secp256k1_ecdsa_recoverable_signature { unsigned char data[65]; } secp256k1_ecdsa_recoverable_signature; /** Parse a compact ECDSA signature (64 bytes + recovery id). * * Returns: 1 when the signature could be parsed, 0 otherwise - * Args: ctx: a secp256k1 context object - * Out: sig: a pointer to a signature object - * In: input64: a pointer to a 64-byte compact signature + * Args: ctx: pointer to a context object + * Out: sig: pointer to a signature object + * In: input64: pointer to a 64-byte compact signature * recid: the recovery id (0, 1, 2 or 3) */ SECP256K1_API int secp256k1_ecdsa_recoverable_signature_parse_compact( - const secp256k1_context* ctx, - secp256k1_ecdsa_recoverable_signature* sig, + const secp256k1_context *ctx, + secp256k1_ecdsa_recoverable_signature *sig, const unsigned char *input64, int recid ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3); @@ -43,29 +43,29 @@ SECP256K1_API int secp256k1_ecdsa_recoverable_signature_parse_compact( /** Convert a recoverable signature into a normal signature. * * Returns: 1 - * Args: ctx: a secp256k1 context object. - * Out: sig: a pointer to a normal signature. - * In: sigin: a pointer to a recoverable signature. + * Args: ctx: pointer to a context object. + * Out: sig: pointer to a normal signature. + * In: sigin: pointer to a recoverable signature. */ SECP256K1_API int secp256k1_ecdsa_recoverable_signature_convert( - const secp256k1_context* ctx, - secp256k1_ecdsa_signature* sig, - const secp256k1_ecdsa_recoverable_signature* sigin + const secp256k1_context *ctx, + secp256k1_ecdsa_signature *sig, + const secp256k1_ecdsa_recoverable_signature *sigin ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3); /** Serialize an ECDSA signature in compact format (64 bytes + recovery id). * * Returns: 1 - * Args: ctx: a secp256k1 context object. - * Out: output64: a pointer to a 64-byte array of the compact signature. - * recid: a pointer to an integer to hold the recovery id. - * In: sig: a pointer to an initialized signature object. + * Args: ctx: pointer to a context object. + * Out: output64: pointer to a 64-byte array of the compact signature. + * recid: pointer to an integer to hold the recovery id. + * In: sig: pointer to an initialized signature object. */ SECP256K1_API int secp256k1_ecdsa_recoverable_signature_serialize_compact( - const secp256k1_context* ctx, + const secp256k1_context *ctx, unsigned char *output64, int *recid, - const secp256k1_ecdsa_recoverable_signature* sig + const secp256k1_ecdsa_recoverable_signature *sig ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4); /** Create a recoverable ECDSA signature. @@ -82,7 +82,7 @@ SECP256K1_API int secp256k1_ecdsa_recoverable_signature_serialize_compact( * (can be NULL for secp256k1_nonce_function_default). */ SECP256K1_API int secp256k1_ecdsa_sign_recoverable( - const secp256k1_context* ctx, + const secp256k1_context *ctx, secp256k1_ecdsa_recoverable_signature *sig, const unsigned char *msghash32, const unsigned char *seckey, @@ -92,7 +92,17 @@ SECP256K1_API int secp256k1_ecdsa_sign_recoverable( /** Recover an ECDSA public key from a signature. * - * Returns: 1: public key successfully recovered (which guarantees a correct signature). + * Successful public key recovery guarantees that the signature, after normalization, + * passes `secp256k1_ecdsa_verify`. Thus, explicit verification is not necessary. + * + * However, a recoverable signature that successfully passes `secp256k1_ecdsa_recover`, + * when converted to a non-recoverable signature (using + * `secp256k1_ecdsa_recoverable_signature_convert`), is not guaranteed to be + * normalized and thus not guaranteed to pass `secp256k1_ecdsa_verify`. If a + * normalized signature is required, call `secp256k1_ecdsa_signature_normalize` + * after `secp256k1_ecdsa_recoverable_signature_convert`. + * + * Returns: 1: public key successfully recovered * 0: otherwise. * Args: ctx: pointer to a context object. * Out: pubkey: pointer to the recovered public key. @@ -100,7 +110,7 @@ SECP256K1_API int secp256k1_ecdsa_sign_recoverable( * msghash32: the 32-byte message hash assumed to be signed. */ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ecdsa_recover( - const secp256k1_context* ctx, + const secp256k1_context *ctx, secp256k1_pubkey *pubkey, const secp256k1_ecdsa_recoverable_signature *sig, const unsigned char *msghash32 diff --git a/include/secp256k1_schnorrsig.h b/include/secp256k1_schnorrsig.h index 4cd2d98256..013d4ee73d 100644 --- a/include/secp256k1_schnorrsig.h +++ b/include/secp256k1_schnorrsig.h @@ -61,7 +61,7 @@ typedef int (*secp256k1_nonce_function_hardened)( * Therefore, to create BIP-340 compliant signatures, algo must be set to * "BIP0340/nonce" and algolen to 13. */ -SECP256K1_API_VAR const secp256k1_nonce_function_hardened secp256k1_nonce_function_bip340; +SECP256K1_API const secp256k1_nonce_function_hardened secp256k1_nonce_function_bip340; /** Data structure that contains additional arguments for schnorrsig_sign_custom. * @@ -79,10 +79,10 @@ SECP256K1_API_VAR const secp256k1_nonce_function_hardened secp256k1_nonce_functi * secp256k1_nonce_function_bip340 is used, then ndata must be a * pointer to 32-byte auxiliary randomness as per BIP-340. */ -typedef struct { +typedef struct secp256k1_schnorrsig_extraparams { unsigned char magic[4]; secp256k1_nonce_function_hardened noncefp; - void* ndata; + void *ndata; } secp256k1_schnorrsig_extraparams; #define SECP256K1_SCHNORRSIG_EXTRAPARAMS_MAGIC { 0xda, 0x6f, 0xb3, 0x8c } @@ -117,7 +117,7 @@ typedef struct { * argument and for guidance if randomness is expensive. */ SECP256K1_API int secp256k1_schnorrsig_sign32( - const secp256k1_context* ctx, + const secp256k1_context *ctx, unsigned char *sig64, const unsigned char *msg32, const secp256k1_keypair *keypair, @@ -127,7 +127,7 @@ SECP256K1_API int secp256k1_schnorrsig_sign32( /** Same as secp256k1_schnorrsig_sign32, but DEPRECATED. Will be removed in * future versions. */ SECP256K1_API int secp256k1_schnorrsig_sign( - const secp256k1_context* ctx, + const secp256k1_context *ctx, unsigned char *sig64, const unsigned char *msg32, const secp256k1_keypair *keypair, @@ -141,15 +141,23 @@ SECP256K1_API int secp256k1_schnorrsig_sign( * variable length messages and accepts a pointer to an extraparams object that * allows customizing signing by passing additional arguments. * - * Creates the same signatures as schnorrsig_sign if msglen is 32 and the - * extraparams.ndata is the same as aux_rand32. + * Equivalent to secp256k1_schnorrsig_sign32(..., aux_rand32) if msglen is 32 + * and extraparams is initialized as follows: + * ``` + * secp256k1_schnorrsig_extraparams extraparams = SECP256K1_SCHNORRSIG_EXTRAPARAMS_INIT; + * extraparams.ndata = (unsigned char*)aux_rand32; + * ``` * + * Returns 1 on success, 0 on failure. + * Args: ctx: pointer to a context object (not secp256k1_context_static). + * Out: sig64: pointer to a 64-byte array to store the serialized signature. * In: msg: the message being signed. Can only be NULL if msglen is 0. - * msglen: length of the message - * extraparams: pointer to a extraparams object (can be NULL) + * msglen: length of the message. + * keypair: pointer to an initialized keypair. + * extraparams: pointer to an extraparams object (can be NULL). */ SECP256K1_API int secp256k1_schnorrsig_sign_custom( - const secp256k1_context* ctx, + const secp256k1_context *ctx, unsigned char *sig64, const unsigned char *msg, size_t msglen, @@ -161,14 +169,14 @@ SECP256K1_API int secp256k1_schnorrsig_sign_custom( * * Returns: 1: correct signature * 0: incorrect signature - * Args: ctx: a secp256k1 context object. + * Args: ctx: pointer to a context object. * In: sig64: pointer to the 64-byte signature to verify. * msg: the message being verified. Can only be NULL if msglen is 0. * msglen: length of the message - * pubkey: pointer to an x-only public key to verify with (cannot be NULL) + * pubkey: pointer to an x-only public key to verify with */ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_schnorrsig_verify( - const secp256k1_context* ctx, + const secp256k1_context *ctx, const unsigned char *sig64, const unsigned char *msg, size_t msglen, diff --git a/sage/group_prover.sage b/sage/group_prover.sage index 9305c215d5..bb09295369 100644 --- a/sage/group_prover.sage +++ b/sage/group_prover.sage @@ -198,7 +198,7 @@ def normalize_factor(p): (8) * (-bx + ax)^3 ``` """ - # Assert p is not 0 and that its non-zero coeffients are coprime. + # Assert p is not 0 and that its non-zero coefficients are coprime. # (We could just work with the primitive part p/p.content() but we want to be # aware if factor() does not return a primitive part in future sage versions.) assert p.content() == 1 diff --git a/src/CMakeLists.txt b/src/CMakeLists.txt index 26272d0950..ecbbbbe8e9 100644 --- a/src/CMakeLists.txt +++ b/src/CMakeLists.txt @@ -1,151 +1,217 @@ -# Must be included before CMAKE_INSTALL_INCLUDEDIR is used. -include(GNUInstallDirs) -set(${PROJECT_NAME}_installables "") +add_library(secp256k1) -if(SECP256K1_ASM STREQUAL "arm") - add_library(common OBJECT - asm/field_10x26_arm.s - ) - set(common_obj "$") -else() - set(common_obj "") +set_property(TARGET secp256k1 PROPERTY PUBLIC_HEADER + ${PROJECT_SOURCE_DIR}/include/secp256k1.h + ${PROJECT_SOURCE_DIR}/include/secp256k1_preallocated.h +) + +# Processing must be done in a topological sorting of the dependency graph +# (dependent module first). +if(SECP256K1_ENABLE_MODULE_ELLSWIFT) + add_compile_definitions(ENABLE_MODULE_ELLSWIFT=1) + set_property(TARGET secp256k1 APPEND PROPERTY PUBLIC_HEADER ${PROJECT_SOURCE_DIR}/include/secp256k1_ellswift.h) +endif() + +if(SECP256K1_ENABLE_MODULE_MUSIG) + if(DEFINED SECP256K1_ENABLE_MODULE_SCHNORRSIG AND NOT SECP256K1_ENABLE_MODULE_SCHNORRSIG) + message(FATAL_ERROR "Module dependency error: You have disabled the schnorrsig module explicitly, but it is required by the musig module.") + endif() + set(SECP256K1_ENABLE_MODULE_SCHNORRSIG ON) + add_compile_definitions(ENABLE_MODULE_MUSIG=1) + set_property(TARGET secp256k1 APPEND PROPERTY PUBLIC_HEADER ${PROJECT_SOURCE_DIR}/include/secp256k1_musig.h) +endif() + +if(SECP256K1_ENABLE_MODULE_SCHNORRSIG) + if(DEFINED SECP256K1_ENABLE_MODULE_EXTRAKEYS AND NOT SECP256K1_ENABLE_MODULE_EXTRAKEYS) + message(FATAL_ERROR "Module dependency error: You have disabled the extrakeys module explicitly, but it is required by the schnorrsig module.") + endif() + set(SECP256K1_ENABLE_MODULE_EXTRAKEYS ON) + add_compile_definitions(ENABLE_MODULE_SCHNORRSIG=1) + set_property(TARGET secp256k1 APPEND PROPERTY PUBLIC_HEADER ${PROJECT_SOURCE_DIR}/include/secp256k1_schnorrsig.h) +endif() + +if(SECP256K1_ENABLE_MODULE_EXTRAKEYS) + add_compile_definitions(ENABLE_MODULE_EXTRAKEYS=1) + set_property(TARGET secp256k1 APPEND PROPERTY PUBLIC_HEADER ${PROJECT_SOURCE_DIR}/include/secp256k1_extrakeys.h) endif() -add_library(precomputed OBJECT +if(SECP256K1_ENABLE_MODULE_RECOVERY) + add_compile_definitions(ENABLE_MODULE_RECOVERY=1) + set_property(TARGET secp256k1 APPEND PROPERTY PUBLIC_HEADER ${PROJECT_SOURCE_DIR}/include/secp256k1_recovery.h) +endif() + +if(SECP256K1_ENABLE_MODULE_ECDH) + add_compile_definitions(ENABLE_MODULE_ECDH=1) + set_property(TARGET secp256k1 APPEND PROPERTY PUBLIC_HEADER ${PROJECT_SOURCE_DIR}/include/secp256k1_ecdh.h) +endif() + +add_library(secp256k1_precomputed OBJECT EXCLUDE_FROM_ALL precomputed_ecmult.c precomputed_ecmult_gen.c ) -set(internal_obj "$" "${common_obj}") -add_library(secp256k1 SHARED EXCLUDE_FROM_ALL - secp256k1.c - ${internal_obj} -) -target_include_directories(secp256k1 INTERFACE - $ -) -target_compile_definitions(secp256k1 PRIVATE - $<$:DLL_EXPORT> -) -set_target_properties(secp256k1 PROPERTIES - VERSION "${${PROJECT_NAME}_LIB_VERSION_CURRENT}.${${PROJECT_NAME}_LIB_VERSION_AGE}.${${PROJECT_NAME}_LIB_VERSION_REVISION}" - SOVERSION "${${PROJECT_NAME}_LIB_VERSION_CURRENT}" -) -if(SECP256K1_BUILD_SHARED) - get_target_property(use_pic secp256k1 POSITION_INDEPENDENT_CODE) - set_target_properties(precomputed PROPERTIES POSITION_INDEPENDENT_CODE ${use_pic}) - set_target_properties(secp256k1 PROPERTIES EXCLUDE_FROM_ALL FALSE) - list(APPEND ${PROJECT_NAME}_installables secp256k1) +# Add objects explicitly rather than linking to the object libs to keep them +# from being exported. +target_sources(secp256k1 PRIVATE secp256k1.c $) + +if(NOT SECP256K1_ENABLE_API_VISIBILITY_ATTRIBUTES) + target_compile_definitions(secp256k1 PRIVATE SECP256K1_NO_API_VISIBILITY_ATTRIBUTES) endif() -add_library(secp256k1_static STATIC EXCLUDE_FROM_ALL - secp256k1.c - ${internal_obj} -) -target_include_directories(secp256k1_static INTERFACE - $ -) -if(NOT MSVC) - set_target_properties(secp256k1_static PROPERTIES - OUTPUT_NAME secp256k1 +# Create a helper lib that parent projects can use to link secp256k1 into a +# static lib. +add_library(secp256k1_objs INTERFACE) +target_sources(secp256k1_objs INTERFACE $ $) + +add_library(secp256k1_asm INTERFACE) +if(SECP256K1_ASM STREQUAL "arm32") + add_library(secp256k1_asm_arm OBJECT EXCLUDE_FROM_ALL) + target_sources(secp256k1_asm_arm PUBLIC + asm/field_10x26_arm.s ) + target_sources(secp256k1 PRIVATE $) + target_sources(secp256k1_objs INTERFACE $) + target_link_libraries(secp256k1_asm INTERFACE secp256k1_asm_arm) endif() -if(SECP256K1_BUILD_STATIC) - set_target_properties(secp256k1_static PROPERTIES EXCLUDE_FROM_ALL FALSE) - list(APPEND ${PROJECT_NAME}_installables secp256k1_static) + +if(WIN32) + # Define our export symbol only for shared libs. + set_target_properties(secp256k1 PROPERTIES DEFINE_SYMBOL SECP256K1_DLL_EXPORT) + target_compile_definitions(secp256k1 INTERFACE $<$>:SECP256K1_STATIC>) endif() -add_library(binary_interface INTERFACE) -target_compile_definitions(binary_interface INTERFACE - $<$:_CRT_SECURE_NO_WARNINGS> +# Object libs don't know if they're being built for a shared or static lib. +# Grab the PIC property from secp256k1 which knows. +get_target_property(use_pic secp256k1 POSITION_INDEPENDENT_CODE) +set_target_properties(secp256k1_precomputed PROPERTIES POSITION_INDEPENDENT_CODE ${use_pic}) + +# Add the include path for parent projects so that they don't have to manually add it. +target_include_directories(secp256k1 INTERFACE + $>:${PROJECT_SOURCE_DIR}/include>> +) +set_target_properties(secp256k1_objs PROPERTIES + INTERFACE_COMPILE_DEFINITIONS "$" + INTERFACE_INCLUDE_DIRECTORIES "$" ) -add_library(link_library INTERFACE) -if(SECP256K1_BUILD_SHARED) - target_link_libraries(link_library INTERFACE secp256k1) -elseif(SECP256K1_BUILD_STATIC) - target_link_libraries(link_library INTERFACE secp256k1_static) +# This emulates Libtool to make sure Libtool and CMake agree on the ABI version, +# see below "Calculate the version variables" in build-aux/ltmain.sh. +math(EXPR ${PROJECT_NAME}_soversion "${${PROJECT_NAME}_LIB_VERSION_CURRENT} - ${${PROJECT_NAME}_LIB_VERSION_AGE}") +set_target_properties(secp256k1 PROPERTIES + SOVERSION ${${PROJECT_NAME}_soversion} +) +if(CMAKE_SYSTEM_NAME MATCHES "^(Linux|FreeBSD)$") + set_target_properties(secp256k1 PROPERTIES + VERSION ${${PROJECT_NAME}_soversion}.${${PROJECT_NAME}_LIB_VERSION_AGE}.${${PROJECT_NAME}_LIB_VERSION_REVISION} + ) +elseif(APPLE) + math(EXPR ${PROJECT_NAME}_compatibility_version "${${PROJECT_NAME}_LIB_VERSION_CURRENT} + 1") + set_target_properties(secp256k1 PROPERTIES + MACHO_COMPATIBILITY_VERSION ${${PROJECT_NAME}_compatibility_version} + MACHO_CURRENT_VERSION ${${PROJECT_NAME}_compatibility_version}.${${PROJECT_NAME}_LIB_VERSION_REVISION} + ) + unset(${PROJECT_NAME}_compatibility_version) +elseif(CMAKE_SYSTEM_NAME STREQUAL "Windows") + set(${PROJECT_NAME}_windows "secp256k1") + if(MSVC) + set(${PROJECT_NAME}_windows "${PROJECT_NAME}") + endif() + set_target_properties(secp256k1 PROPERTIES + ARCHIVE_OUTPUT_NAME "${${PROJECT_NAME}_windows}" + RUNTIME_OUTPUT_NAME "${${PROJECT_NAME}_windows}-${${PROJECT_NAME}_soversion}" + ) + unset(${PROJECT_NAME}_windows) endif() +unset(${PROJECT_NAME}_soversion) if(SECP256K1_BUILD_BENCHMARK) add_executable(bench bench.c) - target_link_libraries(bench binary_interface link_library) - add_executable(bench_internal bench_internal.c ${internal_obj}) - target_link_libraries(bench_internal binary_interface) - add_executable(bench_ecmult bench_ecmult.c ${internal_obj}) - target_link_libraries(bench_ecmult binary_interface) + target_link_libraries(bench secp256k1) + add_executable(bench_internal bench_internal.c) + target_link_libraries(bench_internal secp256k1_precomputed secp256k1_asm) + add_executable(bench_ecmult bench_ecmult.c) + target_link_libraries(bench_ecmult secp256k1_precomputed secp256k1_asm) endif() if(SECP256K1_BUILD_TESTS) - add_executable(noverify_tests tests.c ${internal_obj}) - target_link_libraries(noverify_tests binary_interface) - add_test(noverify_tests noverify_tests) + include(CheckIncludeFile) + check_include_file(sys/types.h HAVE_SYS_TYPES_H) + check_include_file(sys/wait.h HAVE_SYS_WAIT_H) + check_include_file(unistd.h HAVE_UNISTD_H) + + set(TEST_DEFINITIONS "") + if(HAVE_SYS_TYPES_H AND HAVE_SYS_WAIT_H AND HAVE_UNISTD_H) + list(APPEND TEST_DEFINITIONS SUPPORTS_CONCURRENCY=1) + endif() + + add_executable(noverify_tests tests.c) + target_link_libraries(noverify_tests secp256k1_precomputed secp256k1_asm) + target_compile_definitions(noverify_tests PRIVATE ${TEST_DEFINITIONS}) + add_test(NAME secp256k1_noverify_tests COMMAND noverify_tests) if(NOT CMAKE_BUILD_TYPE STREQUAL "Coverage") - add_executable(tests tests.c ${internal_obj}) - target_compile_definitions(tests PRIVATE VERIFY) - target_link_libraries(tests binary_interface) - add_test(tests tests) + add_executable(tests tests.c) + target_compile_definitions(tests PRIVATE VERIFY ${TEST_DEFINITIONS}) + target_link_libraries(tests secp256k1_precomputed secp256k1_asm) + add_test(NAME secp256k1_tests COMMAND tests) endif() + unset(TEST_DEFINITIONS) endif() if(SECP256K1_BUILD_EXHAUSTIVE_TESTS) - # Note: do not include $ in exhaustive_tests (it uses runtime-generated tables). - add_executable(exhaustive_tests tests_exhaustive.c ${common_obj}) + # Note: do not include secp256k1_precomputed in exhaustive_tests (it uses runtime-generated tables). + add_executable(exhaustive_tests tests_exhaustive.c) + target_link_libraries(exhaustive_tests secp256k1_asm) target_compile_definitions(exhaustive_tests PRIVATE $<$>:VERIFY>) - target_link_libraries(exhaustive_tests binary_interface) - add_test(exhaustive_tests exhaustive_tests) + add_test(NAME secp256k1_exhaustive_tests COMMAND exhaustive_tests) endif() if(SECP256K1_BUILD_CTIME_TESTS) add_executable(ctime_tests ctime_tests.c) - target_link_libraries(ctime_tests binary_interface link_library) + target_link_libraries(ctime_tests secp256k1) endif() -install(TARGETS ${${PROJECT_NAME}_installables} - EXPORT ${PROJECT_NAME}-targets - RUNTIME DESTINATION ${CMAKE_INSTALL_BINDIR} - LIBRARY DESTINATION ${CMAKE_INSTALL_LIBDIR} - ARCHIVE DESTINATION ${CMAKE_INSTALL_LIBDIR} -) -set(${PROJECT_NAME}_headers - "${PROJECT_SOURCE_DIR}/include/secp256k1.h" - "${PROJECT_SOURCE_DIR}/include/secp256k1_preallocated.h" -) -if(SECP256K1_ENABLE_MODULE_ECDH) - list(APPEND ${PROJECT_NAME}_headers "${PROJECT_SOURCE_DIR}/include/secp256k1_ecdh.h") -endif() -if(SECP256K1_ENABLE_MODULE_RECOVERY) - list(APPEND ${PROJECT_NAME}_headers "${PROJECT_SOURCE_DIR}/include/secp256k1_recovery.h") -endif() -if(SECP256K1_ENABLE_MODULE_EXTRAKEYS) - list(APPEND ${PROJECT_NAME}_headers "${PROJECT_SOURCE_DIR}/include/secp256k1_extrakeys.h") -endif() -if(SECP256K1_ENABLE_MODULE_SCHNORRSIG) - list(APPEND ${PROJECT_NAME}_headers "${PROJECT_SOURCE_DIR}/include/secp256k1_schnorrsig.h") -endif() -install(FILES ${${PROJECT_NAME}_headers} - DESTINATION ${CMAKE_INSTALL_INCLUDEDIR} -) +if(SECP256K1_INSTALL) + include(GNUInstallDirs) + target_include_directories(secp256k1 INTERFACE + $ + ) + install(TARGETS secp256k1 + EXPORT ${PROJECT_NAME}-targets + RUNTIME DESTINATION ${CMAKE_INSTALL_BINDIR} + LIBRARY DESTINATION ${CMAKE_INSTALL_LIBDIR} + ARCHIVE DESTINATION ${CMAKE_INSTALL_LIBDIR} + PUBLIC_HEADER DESTINATION ${CMAKE_INSTALL_INCLUDEDIR} + ) -install(EXPORT ${PROJECT_NAME}-targets - FILE ${PROJECT_NAME}-targets.cmake - NAMESPACE ${PROJECT_NAME}:: - DESTINATION ${CMAKE_INSTALL_LIBDIR}/cmake/${PROJECT_NAME} -) + install(EXPORT ${PROJECT_NAME}-targets + FILE ${PROJECT_NAME}-targets.cmake + NAMESPACE ${PROJECT_NAME}:: + DESTINATION ${CMAKE_INSTALL_LIBDIR}/cmake/${PROJECT_NAME} + ) -include(CMakePackageConfigHelpers) -configure_package_config_file( - ${PROJECT_SOURCE_DIR}/cmake/config.cmake.in - ${PROJECT_NAME}-config.cmake - INSTALL_DESTINATION ${CMAKE_INSTALL_LIBDIR}/cmake/${PROJECT_NAME} - NO_SET_AND_CHECK_MACRO -) -write_basic_package_version_file(${PROJECT_NAME}-config-version.cmake - COMPATIBILITY SameMajorVersion -) -install( - FILES - ${CMAKE_CURRENT_BINARY_DIR}/${PROJECT_NAME}-config.cmake - ${CMAKE_CURRENT_BINARY_DIR}/${PROJECT_NAME}-config-version.cmake - DESTINATION ${CMAKE_INSTALL_LIBDIR}/cmake/${PROJECT_NAME} -) + include(CMakePackageConfigHelpers) + configure_package_config_file( + ${PROJECT_SOURCE_DIR}/cmake/config.cmake.in + ${PROJECT_NAME}-config.cmake + INSTALL_DESTINATION ${CMAKE_INSTALL_LIBDIR}/cmake/${PROJECT_NAME} + NO_SET_AND_CHECK_MACRO + ) + write_basic_package_version_file(${PROJECT_NAME}-config-version.cmake + COMPATIBILITY SameMinorVersion + ) + + install( + FILES + ${CMAKE_CURRENT_BINARY_DIR}/${PROJECT_NAME}-config.cmake + ${CMAKE_CURRENT_BINARY_DIR}/${PROJECT_NAME}-config-version.cmake + DESTINATION ${CMAKE_INSTALL_LIBDIR}/cmake/${PROJECT_NAME} + ) + + include(GeneratePkgConfigFile) + generate_pkg_config_file(${PROJECT_SOURCE_DIR}/libsecp256k1.pc.in) + install( + FILES + ${CMAKE_CURRENT_BINARY_DIR}/${PROJECT_NAME}.pc + DESTINATION ${CMAKE_INSTALL_LIBDIR}/pkgconfig + ) +endif() diff --git a/src/asm/field_10x26_arm.s b/src/asm/field_10x26_arm.s index 5f68cefc46..664b921400 100644 --- a/src/asm/field_10x26_arm.s +++ b/src/asm/field_10x26_arm.s @@ -29,6 +29,7 @@ Note: .align 2 .global secp256k1_fe_mul_inner .type secp256k1_fe_mul_inner, %function + .hidden secp256k1_fe_mul_inner @ Arguments: @ r0 r Restrict: can overlap with a, not with b @ r1 a @@ -516,6 +517,7 @@ secp256k1_fe_mul_inner: .align 2 .global secp256k1_fe_sqr_inner .type secp256k1_fe_sqr_inner, %function + .hidden secp256k1_fe_sqr_inner @ Arguments: @ r0 r Can overlap with a @ r1 a @@ -911,3 +913,4 @@ secp256k1_fe_sqr_inner: ldmfd sp!, {r4, r5, r6, r7, r8, r9, r10, r11, pc} .size secp256k1_fe_sqr_inner, .-secp256k1_fe_sqr_inner + .section .note.GNU-stack,"",%progbits diff --git a/src/assumptions.h b/src/assumptions.h index 8ed04209e9..7961005350 100644 --- a/src/assumptions.h +++ b/src/assumptions.h @@ -19,65 +19,69 @@ reduce the odds of experiencing an unwelcome surprise. */ -struct secp256k1_assumption_checker { - /* This uses a trick to implement a static assertion in C89: a type with an array of negative size is not - allowed. */ - int dummy_array[( - /* Bytes are 8 bits. */ - (CHAR_BIT == 8) && +#if defined(__has_attribute) +# if __has_attribute(__unavailable__) +__attribute__((__unavailable__("Don't call this function. It only exists because STATIC_ASSERT cannot be used outside a function."))) +# endif +#endif +static void secp256k1_assumption_checker(void) { + /* Bytes are 8 bits. */ + STATIC_ASSERT(CHAR_BIT == 8); - /* No integer promotion for uint32_t. This ensures that we can multiply uintXX_t values where XX >= 32 - without signed overflow, which would be undefined behaviour. */ - (UINT_MAX <= UINT32_MAX) && + /* No integer promotion for uint32_t. This ensures that we can multiply uintXX_t values where XX >= 32 + without signed overflow, which would be undefined behaviour. */ + STATIC_ASSERT(UINT_MAX <= UINT32_MAX); - /* Conversions from unsigned to signed outside of the bounds of the signed type are - implementation-defined. Verify that they function as reinterpreting the lower - bits of the input in two's complement notation. Do this for conversions: - - from uint(N)_t to int(N)_t with negative result - - from uint(2N)_t to int(N)_t with negative result - - from int(2N)_t to int(N)_t with negative result - - from int(2N)_t to int(N)_t with positive result */ + /* Conversions from unsigned to signed outside of the bounds of the signed type are + implementation-defined. Verify that they function as reinterpreting the lower + bits of the input in two's complement notation. Do this for conversions: + - from uint(N)_t to int(N)_t with negative result + - from uint(2N)_t to int(N)_t with negative result + - from int(2N)_t to int(N)_t with negative result + - from int(2N)_t to int(N)_t with positive result */ - /* To int8_t. */ - ((int8_t)(uint8_t)0xAB == (int8_t)-(int8_t)0x55) && - ((int8_t)(uint16_t)0xABCD == (int8_t)-(int8_t)0x33) && - ((int8_t)(int16_t)(uint16_t)0xCDEF == (int8_t)(uint8_t)0xEF) && - ((int8_t)(int16_t)(uint16_t)0x9234 == (int8_t)(uint8_t)0x34) && + /* To int8_t. */ + STATIC_ASSERT(((int8_t)(uint8_t)0xAB == (int8_t)-(int8_t)0x55)); + STATIC_ASSERT((int8_t)(uint16_t)0xABCD == (int8_t)-(int8_t)0x33); + STATIC_ASSERT((int8_t)(int16_t)(uint16_t)0xCDEF == (int8_t)(uint8_t)0xEF); + STATIC_ASSERT((int8_t)(int16_t)(uint16_t)0x9234 == (int8_t)(uint8_t)0x34); - /* To int16_t. */ - ((int16_t)(uint16_t)0xBCDE == (int16_t)-(int16_t)0x4322) && - ((int16_t)(uint32_t)0xA1B2C3D4 == (int16_t)-(int16_t)0x3C2C) && - ((int16_t)(int32_t)(uint32_t)0xC1D2E3F4 == (int16_t)(uint16_t)0xE3F4) && - ((int16_t)(int32_t)(uint32_t)0x92345678 == (int16_t)(uint16_t)0x5678) && + /* To int16_t. */ + STATIC_ASSERT((int16_t)(uint16_t)0xBCDE == (int16_t)-(int16_t)0x4322); + STATIC_ASSERT((int16_t)(uint32_t)0xA1B2C3D4 == (int16_t)-(int16_t)0x3C2C); + STATIC_ASSERT((int16_t)(int32_t)(uint32_t)0xC1D2E3F4 == (int16_t)(uint16_t)0xE3F4); + STATIC_ASSERT((int16_t)(int32_t)(uint32_t)0x92345678 == (int16_t)(uint16_t)0x5678); - /* To int32_t. */ - ((int32_t)(uint32_t)0xB2C3D4E5 == (int32_t)-(int32_t)0x4D3C2B1B) && - ((int32_t)(uint64_t)0xA123B456C789D012ULL == (int32_t)-(int32_t)0x38762FEE) && - ((int32_t)(int64_t)(uint64_t)0xC1D2E3F4A5B6C7D8ULL == (int32_t)(uint32_t)0xA5B6C7D8) && - ((int32_t)(int64_t)(uint64_t)0xABCDEF0123456789ULL == (int32_t)(uint32_t)0x23456789) && + /* To int32_t. */ + STATIC_ASSERT((int32_t)(uint32_t)0xB2C3D4E5 == (int32_t)-(int32_t)0x4D3C2B1B); + STATIC_ASSERT((int32_t)(uint64_t)0xA123B456C789D012ULL == (int32_t)-(int32_t)0x38762FEE); + STATIC_ASSERT((int32_t)(int64_t)(uint64_t)0xC1D2E3F4A5B6C7D8ULL == (int32_t)(uint32_t)0xA5B6C7D8); + STATIC_ASSERT((int32_t)(int64_t)(uint64_t)0xABCDEF0123456789ULL == (int32_t)(uint32_t)0x23456789); - /* To int64_t. */ - ((int64_t)(uint64_t)0xB123C456D789E012ULL == (int64_t)-(int64_t)0x4EDC3BA928761FEEULL) && + /* To int64_t. */ + STATIC_ASSERT((int64_t)(uint64_t)0xB123C456D789E012ULL == (int64_t)-(int64_t)0x4EDC3BA928761FEEULL); #if defined(SECP256K1_INT128_NATIVE) - ((int64_t)(((uint128_t)0xA1234567B8901234ULL << 64) + 0xC5678901D2345678ULL) == (int64_t)-(int64_t)0x3A9876FE2DCBA988ULL) && - (((int64_t)(int128_t)(((uint128_t)0xB1C2D3E4F5A6B7C8ULL << 64) + 0xD9E0F1A2B3C4D5E6ULL)) == (int64_t)(uint64_t)0xD9E0F1A2B3C4D5E6ULL) && - (((int64_t)(int128_t)(((uint128_t)0xABCDEF0123456789ULL << 64) + 0x0123456789ABCDEFULL)) == (int64_t)(uint64_t)0x0123456789ABCDEFULL) && + STATIC_ASSERT((int64_t)(((uint128_t)0xA1234567B8901234ULL << 64) + 0xC5678901D2345678ULL) == (int64_t)-(int64_t)0x3A9876FE2DCBA988ULL); + STATIC_ASSERT(((int64_t)(int128_t)(((uint128_t)0xB1C2D3E4F5A6B7C8ULL << 64) + 0xD9E0F1A2B3C4D5E6ULL)) == (int64_t)(uint64_t)0xD9E0F1A2B3C4D5E6ULL); + STATIC_ASSERT(((int64_t)(int128_t)(((uint128_t)0xABCDEF0123456789ULL << 64) + 0x0123456789ABCDEFULL)) == (int64_t)(uint64_t)0x0123456789ABCDEFULL); - /* To int128_t. */ - ((int128_t)(((uint128_t)0xB1234567C8901234ULL << 64) + 0xD5678901E2345678ULL) == (int128_t)(-(int128_t)0x8E1648B3F50E80DCULL * 0x8E1648B3F50E80DDULL + 0x5EA688D5482F9464ULL)) && + /* To int128_t. */ + STATIC_ASSERT((int128_t)(((uint128_t)0xB1234567C8901234ULL << 64) + 0xD5678901E2345678ULL) == (int128_t)(-(int128_t)0x8E1648B3F50E80DCULL * 0x8E1648B3F50E80DDULL + 0x5EA688D5482F9464ULL)); #endif - /* Right shift on negative signed values is implementation defined. Verify that it - acts as a right shift in two's complement with sign extension (i.e duplicating - the top bit into newly added bits). */ - ((((int8_t)0xE8) >> 2) == (int8_t)(uint8_t)0xFA) && - ((((int16_t)0xE9AC) >> 4) == (int16_t)(uint16_t)0xFE9A) && - ((((int32_t)0x937C918A) >> 9) == (int32_t)(uint32_t)0xFFC9BE48) && - ((((int64_t)0xA8B72231DF9CF4B9ULL) >> 19) == (int64_t)(uint64_t)0xFFFFF516E4463BF3ULL) && + /* Right shift on negative signed values is implementation defined. Verify that it + acts as a right shift in two's complement with sign extension (i.e duplicating + the top bit into newly added bits). */ + STATIC_ASSERT((((int8_t)0xE8) >> 2) == (int8_t)(uint8_t)0xFA); + STATIC_ASSERT((((int16_t)0xE9AC) >> 4) == (int16_t)(uint16_t)0xFE9A); + STATIC_ASSERT((((int32_t)0x937C918A) >> 9) == (int32_t)(uint32_t)0xFFC9BE48); + STATIC_ASSERT((((int64_t)0xA8B72231DF9CF4B9ULL) >> 19) == (int64_t)(uint64_t)0xFFFFF516E4463BF3ULL); #if defined(SECP256K1_INT128_NATIVE) - ((((int128_t)(((uint128_t)0xCD833A65684A0DBCULL << 64) + 0xB349312F71EA7637ULL)) >> 39) == (int128_t)(((uint128_t)0xFFFFFFFFFF9B0674ULL << 64) + 0xCAD0941B79669262ULL)) && + STATIC_ASSERT((((int128_t)(((uint128_t)0xCD833A65684A0DBCULL << 64) + 0xB349312F71EA7637ULL)) >> 39) == (int128_t)(((uint128_t)0xFFFFFFFFFF9B0674ULL << 64) + 0xCAD0941B79669262ULL)); #endif - 1) * 2 - 1]; -}; + + /* This function is not supposed to be called. */ + VERIFY_CHECK(0); +} #endif /* SECP256K1_ASSUMPTIONS_H */ diff --git a/src/bench.c b/src/bench.c index 833f70718b..8ba7623a0e 100644 --- a/src/bench.c +++ b/src/bench.c @@ -5,6 +5,7 @@ ***********************************************************************/ #include +#include #include #include "../include/secp256k1.h" @@ -15,18 +16,22 @@ static void help(int default_iters) { printf("Benchmarks the following algorithms:\n"); printf(" - ECDSA signing/verification\n"); -#ifdef ENABLE_MODULE_ECDH - printf(" - ECDH key exchange (optional module)\n"); -#endif - #ifdef ENABLE_MODULE_RECOVERY printf(" - Public key recovery (optional module)\n"); #endif +#ifdef ENABLE_MODULE_ECDH + printf(" - ECDH key exchange (optional module)\n"); +#endif + #ifdef ENABLE_MODULE_SCHNORRSIG printf(" - Schnorr signatures (optional module)\n"); #endif +#ifdef ENABLE_MODULE_ELLSWIFT + printf(" - ElligatorSwift (optional module)\n"); +#endif + printf("\n"); printf("The default number of iterations for each benchmark is %d. This can be\n", default_iters); printf("customized using the SECP256K1_BENCH_ITERS environment variable.\n"); @@ -38,6 +43,8 @@ static void help(int default_iters) { printf(" ecdsa : all ECDSA algorithms--sign, verify, recovery (if enabled)\n"); printf(" ecdsa_sign : ECDSA siging algorithm\n"); printf(" ecdsa_verify : ECDSA verification algorithm\n"); + printf(" ec : all EC public key algorithms (keygen)\n"); + printf(" ec_keygen : EC public key generation\n"); #ifdef ENABLE_MODULE_RECOVERY printf(" ecdsa_recover : ECDSA public key recovery algorithm\n"); @@ -53,6 +60,14 @@ static void help(int default_iters) { printf(" schnorrsig_verify : Schnorr verification algorithm\n"); #endif +#ifdef ENABLE_MODULE_ELLSWIFT + printf(" ellswift : all ElligatorSwift benchmarks (encode, decode, keygen, ecdh)\n"); + printf(" ellswift_encode : ElligatorSwift encoding\n"); + printf(" ellswift_decode : ElligatorSwift decoding\n"); + printf(" ellswift_keygen : ElligatorSwift key generation\n"); + printf(" ellswift_ecdh : ECDH on ElligatorSwift keys\n"); +#endif + printf("\n"); } @@ -64,11 +79,11 @@ typedef struct { size_t siglen; unsigned char pubkey[33]; size_t pubkeylen; -} bench_verify_data; +} bench_data; static void bench_verify(void* arg, int iters) { int i; - bench_verify_data* data = (bench_verify_data*)arg; + bench_data* data = (bench_data*)arg; for (i = 0; i < iters; i++) { secp256k1_pubkey pubkey; @@ -85,15 +100,9 @@ static void bench_verify(void* arg, int iters) { } } -typedef struct { - secp256k1_context* ctx; - unsigned char msg[32]; - unsigned char key[32]; -} bench_sign_data; - static void bench_sign_setup(void* arg) { int i; - bench_sign_data *data = (bench_sign_data*)arg; + bench_data *data = (bench_data*)arg; for (i = 0; i < 32; i++) { data->msg[i] = i + 1; @@ -105,7 +114,7 @@ static void bench_sign_setup(void* arg) { static void bench_sign_run(void* arg, int iters) { int i; - bench_sign_data *data = (bench_sign_data*)arg; + bench_data *data = (bench_data*)arg; unsigned char sig[74]; for (i = 0; i < iters; i++) { @@ -121,6 +130,30 @@ static void bench_sign_run(void* arg, int iters) { } } +static void bench_keygen_setup(void* arg) { + int i; + bench_data *data = (bench_data*)arg; + + for (i = 0; i < 32; i++) { + data->key[i] = i + 65; + } +} + +static void bench_keygen_run(void *arg, int iters) { + int i; + bench_data *data = (bench_data*)arg; + + for (i = 0; i < iters; i++) { + unsigned char pub33[33]; + size_t len = 33; + secp256k1_pubkey pubkey; + CHECK(secp256k1_ec_pubkey_create(data->ctx, &pubkey, data->key)); + CHECK(secp256k1_ec_pubkey_serialize(data->ctx, pub33, &len, &pubkey, SECP256K1_EC_COMPRESSED)); + memcpy(data->key, pub33 + 1, 32); + } +} + + #ifdef ENABLE_MODULE_ECDH # include "modules/ecdh/bench_impl.h" #endif @@ -133,11 +166,15 @@ static void bench_sign_run(void* arg, int iters) { # include "modules/schnorrsig/bench_impl.h" #endif +#ifdef ENABLE_MODULE_ELLSWIFT +# include "modules/ellswift/bench_impl.h" +#endif + int main(int argc, char** argv) { int i; secp256k1_pubkey pubkey; secp256k1_ecdsa_signature sig; - bench_verify_data data; + bench_data data; int d = argc == 1; int default_iters = 20000; @@ -145,7 +182,9 @@ int main(int argc, char** argv) { /* Check for invalid user arguments */ char* valid_args[] = {"ecdsa", "verify", "ecdsa_verify", "sign", "ecdsa_sign", "ecdh", "recover", - "ecdsa_recover", "schnorrsig", "schnorrsig_verify", "schnorrsig_sign"}; + "ecdsa_recover", "schnorrsig", "schnorrsig_verify", "schnorrsig_sign", "ec", + "keygen", "ec_keygen", "ellswift", "encode", "ellswift_encode", "decode", + "ellswift_decode", "ellswift_keygen", "ellswift_ecdh"}; size_t valid_args_size = sizeof(valid_args)/sizeof(valid_args[0]); int invalid_args = have_invalid_args(argc, argv, valid_args, valid_args_size); @@ -154,11 +193,11 @@ int main(int argc, char** argv) { || have_flag(argc, argv, "--help") || have_flag(argc, argv, "help")) { help(default_iters); - return 0; + return EXIT_SUCCESS; } else if (invalid_args) { fprintf(stderr, "./bench: unrecognized argument.\n\n"); help(default_iters); - return 1; + return EXIT_FAILURE; } } @@ -167,7 +206,7 @@ int main(int argc, char** argv) { if (have_flag(argc, argv, "ecdh")) { fprintf(stderr, "./bench: ECDH module not enabled.\n"); fprintf(stderr, "Use ./configure --enable-module-ecdh.\n\n"); - return 1; + return EXIT_FAILURE; } #endif @@ -175,7 +214,7 @@ int main(int argc, char** argv) { if (have_flag(argc, argv, "recover") || have_flag(argc, argv, "ecdsa_recover")) { fprintf(stderr, "./bench: Public key recovery module not enabled.\n"); fprintf(stderr, "Use ./configure --enable-module-recovery.\n\n"); - return 1; + return EXIT_FAILURE; } #endif @@ -183,7 +222,17 @@ int main(int argc, char** argv) { if (have_flag(argc, argv, "schnorrsig") || have_flag(argc, argv, "schnorrsig_sign") || have_flag(argc, argv, "schnorrsig_verify")) { fprintf(stderr, "./bench: Schnorr signatures module not enabled.\n"); fprintf(stderr, "Use ./configure --enable-module-schnorrsig.\n\n"); - return 1; + return EXIT_FAILURE; + } +#endif + +#ifndef ENABLE_MODULE_ELLSWIFT + if (have_flag(argc, argv, "ellswift") || have_flag(argc, argv, "ellswift_encode") || have_flag(argc, argv, "ellswift_decode") || + have_flag(argc, argv, "encode") || have_flag(argc, argv, "decode") || have_flag(argc, argv, "ellswift_keygen") || + have_flag(argc, argv, "ellswift_ecdh")) { + fprintf(stderr, "./bench: ElligatorSwift module not enabled.\n"); + fprintf(stderr, "Use ./configure --enable-module-ellswift.\n\n"); + return EXIT_FAILURE; } #endif @@ -207,6 +256,7 @@ int main(int argc, char** argv) { if (d || have_flag(argc, argv, "ecdsa") || have_flag(argc, argv, "verify") || have_flag(argc, argv, "ecdsa_verify")) run_benchmark("ecdsa_verify", bench_verify, NULL, NULL, &data, 10, iters); if (d || have_flag(argc, argv, "ecdsa") || have_flag(argc, argv, "sign") || have_flag(argc, argv, "ecdsa_sign")) run_benchmark("ecdsa_sign", bench_sign_run, bench_sign_setup, NULL, &data, 10, iters); + if (d || have_flag(argc, argv, "ec") || have_flag(argc, argv, "keygen") || have_flag(argc, argv, "ec_keygen")) run_benchmark("ec_keygen", bench_keygen_run, bench_keygen_setup, NULL, &data, 10, iters); secp256k1_context_destroy(data.ctx); @@ -225,5 +275,10 @@ int main(int argc, char** argv) { run_schnorrsig_bench(iters, argc, argv); #endif - return 0; +#ifdef ENABLE_MODULE_ELLSWIFT + /* ElligatorSwift benchmarks */ + run_ellswift_bench(iters, argc, argv); +#endif + + return EXIT_SUCCESS; } diff --git a/src/bench.h b/src/bench.h index bf9a932ff4..4e8e961b67 100644 --- a/src/bench.h +++ b/src/bench.h @@ -12,27 +12,7 @@ #include #include -#if (defined(_MSC_VER) && _MSC_VER >= 1900) -# include -#else -# include "sys/time.h" -#endif - -static int64_t gettime_i64(void) { -#if (defined(_MSC_VER) && _MSC_VER >= 1900) - /* C11 way to get wallclock time */ - struct timespec tv; - if (!timespec_get(&tv, TIME_UTC)) { - fputs("timespec_get failed!", stderr); - exit(1); - } - return (int64_t)tv.tv_nsec / 1000 + (int64_t)tv.tv_sec * 1000000LL; -#else - struct timeval tv; - gettimeofday(&tv, NULL); - return (int64_t)tv.tv_usec + (int64_t)tv.tv_sec * 1000000LL; -#endif -} +#include "tests_common.h" #define FP_EXP (6) #define FP_MULT (1000000LL) diff --git a/src/bench_ecmult.c b/src/bench_ecmult.c index 98fb798d82..c9a1d90026 100644 --- a/src/bench_ecmult.c +++ b/src/bench_ecmult.c @@ -4,6 +4,7 @@ * file COPYING or https://www.opensource.org/licenses/mit-license.php.* ***********************************************************************/ #include +#include #include "secp256k1.c" #include "../include/secp256k1.h" @@ -55,6 +56,7 @@ typedef struct { /* Benchmark output. */ secp256k1_gej* output; + secp256k1_fe* output_xonly; } bench_data; /* Hashes x into [0, POINTS) twice and store the result in offset1 and offset2. */ @@ -71,7 +73,7 @@ static void bench_ecmult_teardown_helper(bench_data* data, size_t* seckey_offset secp256k1_scalar sum_scalars; secp256k1_gej_set_infinity(&sum_output); - secp256k1_scalar_clear(&sum_scalars); + secp256k1_scalar_set_int(&sum_scalars, 0); for (i = 0; i < iters; ++i) { secp256k1_gej_add_var(&sum_output, &sum_output, &data->output[i], NULL); if (scalar_gen_offset != NULL) { @@ -113,7 +115,7 @@ static void bench_ecmult_const(void* arg, int iters) { int i; for (i = 0; i < iters; ++i) { - secp256k1_ecmult_const(&data->output[i], &data->pubkeys[(data->offset1+i) % POINTS], &data->scalars[(data->offset2+i) % POINTS], 256); + secp256k1_ecmult_const(&data->output[i], &data->pubkeys[(data->offset1+i) % POINTS], &data->scalars[(data->offset2+i) % POINTS]); } } @@ -122,6 +124,32 @@ static void bench_ecmult_const_teardown(void* arg, int iters) { bench_ecmult_teardown_helper(data, &data->offset1, &data->offset2, NULL, iters); } +static void bench_ecmult_const_xonly(void* arg, int iters) { + bench_data* data = (bench_data*)arg; + int i; + + for (i = 0; i < iters; ++i) { + const secp256k1_ge* pubkey = &data->pubkeys[(data->offset1+i) % POINTS]; + const secp256k1_scalar* scalar = &data->scalars[(data->offset2+i) % POINTS]; + int known_on_curve = 1; + secp256k1_ecmult_const_xonly(&data->output_xonly[i], &pubkey->x, NULL, scalar, known_on_curve); + } +} + +static void bench_ecmult_const_xonly_teardown(void* arg, int iters) { + bench_data* data = (bench_data*)arg; + int i; + + /* verify by comparing with x coordinate of regular ecmult result */ + for (i = 0; i < iters; ++i) { + const secp256k1_gej* pubkey_gej = &data->pubkeys_gej[(data->offset1+i) % POINTS]; + const secp256k1_scalar* scalar = &data->scalars[(data->offset2+i) % POINTS]; + secp256k1_gej expected_gej; + secp256k1_ecmult(&expected_gej, pubkey_gej, scalar, NULL); + CHECK(secp256k1_gej_eq_x_var(&data->output_xonly[i], &expected_gej)); + } +} + static void bench_ecmult_1p(void* arg, int iters) { bench_data* data = (bench_data*)arg; int i; @@ -138,12 +166,10 @@ static void bench_ecmult_1p_teardown(void* arg, int iters) { static void bench_ecmult_0p_g(void* arg, int iters) { bench_data* data = (bench_data*)arg; - secp256k1_scalar zero; int i; - secp256k1_scalar_set_int(&zero, 0); for (i = 0; i < iters; ++i) { - secp256k1_ecmult(&data->output[i], NULL, &zero, &data->scalars[(data->offset1+i) % POINTS]); + secp256k1_ecmult(&data->output[i], NULL, &secp256k1_scalar_zero, &data->scalars[(data->offset1+i) % POINTS]); } } @@ -172,6 +198,8 @@ static void run_ecmult_bench(bench_data* data, int iters) { run_benchmark(str, bench_ecmult_gen, bench_ecmult_setup, bench_ecmult_gen_teardown, data, 10, iters); sprintf(str, "ecmult_const"); run_benchmark(str, bench_ecmult_const, bench_ecmult_setup, bench_ecmult_const_teardown, data, 10, iters); + sprintf(str, "ecmult_const_xonly"); + run_benchmark(str, bench_ecmult_const_xonly, bench_ecmult_setup, bench_ecmult_const_xonly_teardown, data, 10, iters); /* ecmult with non generator point */ sprintf(str, "ecmult_1p"); run_benchmark(str, bench_ecmult_1p, bench_ecmult_setup, bench_ecmult_1p_teardown, data, 10, iters); @@ -246,7 +274,6 @@ static void generate_scalar(uint32_t num, secp256k1_scalar* scalar) { static void run_ecmult_multi_bench(bench_data* data, size_t count, int includes_g, int num_iters) { char str[32]; - static const secp256k1_scalar zero = SECP256K1_SCALAR_CONST(0, 0, 0, 0, 0, 0, 0, 0); size_t iters = 1 + num_iters / count; size_t iter; @@ -264,7 +291,7 @@ static void run_ecmult_multi_bench(bench_data* data, size_t count, int includes_ secp256k1_scalar_add(&total, &total, &tmp); } secp256k1_scalar_negate(&total, &total); - secp256k1_ecmult(&data->expected_output[iter], NULL, &zero, &total); + secp256k1_ecmult(&data->expected_output[iter], NULL, &secp256k1_scalar_zero, &total); } /* Run the benchmark. */ @@ -290,7 +317,7 @@ int main(int argc, char **argv) { || have_flag(argc, argv, "--help") || have_flag(argc, argv, "help")) { help(argv); - return 0; + return EXIT_SUCCESS; } else if(have_flag(argc, argv, "pippenger_wnaf")) { printf("Using pippenger_wnaf:\n"); data.ecmult_multi = secp256k1_ecmult_pippenger_batch_single; @@ -302,12 +329,12 @@ int main(int argc, char **argv) { } else { fprintf(stderr, "%s: unrecognized argument '%s'.\n\n", argv[0], argv[1]); help(argv); - return 1; + return EXIT_FAILURE; } } data.ctx = secp256k1_context_create(SECP256K1_CONTEXT_NONE); - scratch_size = secp256k1_strauss_scratch_size(POINTS) + STRAUSS_SCRATCH_OBJECTS*16; + scratch_size = secp256k1_strauss_scratch_size(POINTS) + STRAUSS_SCRATCH_OBJECTS*ALIGNMENT; if (!have_flag(argc, argv, "simple")) { data.scratch = secp256k1_scratch_space_create(data.ctx, scratch_size); } else { @@ -321,6 +348,7 @@ int main(int argc, char **argv) { data.pubkeys_gej = malloc(sizeof(secp256k1_gej) * POINTS); data.expected_output = malloc(sizeof(secp256k1_gej) * (iters + 1)); data.output = malloc(sizeof(secp256k1_gej) * (iters + 1)); + data.output_xonly = malloc(sizeof(secp256k1_fe) * (iters + 1)); /* Generate a set of scalars, and private/public keypairs. */ secp256k1_gej_set_ge(&data.pubkeys_gej[0], &secp256k1_ge_const_g); @@ -363,8 +391,9 @@ int main(int argc, char **argv) { free(data.pubkeys); free(data.pubkeys_gej); free(data.seckeys); + free(data.output_xonly); free(data.output); free(data.expected_output); - return(0); + return EXIT_SUCCESS; } diff --git a/src/bench_internal.c b/src/bench_internal.c index c248ab8ebc..8688a4dc77 100644 --- a/src/bench_internal.c +++ b/src/bench_internal.c @@ -4,6 +4,7 @@ * file COPYING or https://www.opensource.org/licenses/mit-license.php.* ***********************************************************************/ #include +#include #include "secp256k1.c" #include "../include/secp256k1.h" @@ -14,10 +15,28 @@ #include "field_impl.h" #include "group_impl.h" #include "scalar_impl.h" -#include "ecmult_const_impl.h" #include "ecmult_impl.h" #include "bench.h" +static void help(int default_iters) { + printf("Benchmarks various internal routines.\n"); + printf("\n"); + printf("The default number of iterations for each benchmark is %d. This can be\n", default_iters); + printf("customized using the SECP256K1_BENCH_ITERS environment variable.\n"); + printf("\n"); + printf("Usage: ./bench_internal [args]\n"); + printf("By default, all benchmarks will be run.\n"); + printf("args:\n"); + printf(" help : display this help and exit\n"); + printf(" scalar : all scalar operations (add, half, inverse, mul, negate, split)\n"); + printf(" field : all field operations (half, inverse, issquare, mul, normalize, sqr, sqrt)\n"); + printf(" group : all group operations (add, double, to_affine)\n"); + printf(" ecmult : all point multiplication operations (ecmult_wnaf) \n"); + printf(" hash : all hash algorithms (hmac, rng6979, sha256)\n"); + printf(" context : all context object operations (context_create)\n"); + printf("\n"); +} + typedef struct { secp256k1_scalar scalar[2]; secp256k1_fe fe[4]; @@ -65,10 +84,10 @@ static void bench_setup(void* arg) { secp256k1_scalar_set_b32(&data->scalar[0], init[0], NULL); secp256k1_scalar_set_b32(&data->scalar[1], init[1], NULL); - secp256k1_fe_set_b32(&data->fe[0], init[0]); - secp256k1_fe_set_b32(&data->fe[1], init[1]); - secp256k1_fe_set_b32(&data->fe[2], init[2]); - secp256k1_fe_set_b32(&data->fe[3], init[3]); + secp256k1_fe_set_b32_limit(&data->fe[0], init[0]); + secp256k1_fe_set_b32_limit(&data->fe[1], init[1]); + secp256k1_fe_set_b32_limit(&data->fe[2], init[2]); + secp256k1_fe_set_b32_limit(&data->fe[3], init[3]); CHECK(secp256k1_ge_set_xo_var(&data->ge[0], &data->fe[0], 0)); CHECK(secp256k1_ge_set_xo_var(&data->ge[1], &data->fe[1], 1)); secp256k1_gej_set_ge(&data->gej[0], &data->ge[0]); @@ -98,6 +117,18 @@ static void bench_scalar_negate(void* arg, int iters) { } } +static void bench_scalar_half(void* arg, int iters) { + int i; + bench_inv *data = (bench_inv*)arg; + secp256k1_scalar s = data->scalar[0]; + + for (i = 0; i < iters; i++) { + secp256k1_scalar_half(&s, &s); + } + + data->scalar[0] = s; +} + static void bench_scalar_mul(void* arg, int iters) { int i; bench_inv *data = (bench_inv*)arg; @@ -309,18 +340,6 @@ static void bench_ecmult_wnaf(void* arg, int iters) { CHECK(bits <= 256*iters); } -static void bench_wnaf_const(void* arg, int iters) { - int i, bits = 0, overflow = 0; - bench_inv *data = (bench_inv*)arg; - - for (i = 0; i < iters; i++) { - bits += secp256k1_wnaf_const(data->wnaf, &data->scalar[0], WINDOW_A, 256); - overflow += secp256k1_scalar_add(&data->scalar[0], &data->scalar[0], &data->scalar[1]); - } - CHECK(overflow >= 0); - CHECK(bits <= 256*iters); -} - static void bench_sha256(void* arg, int iters) { int i; bench_inv *data = (bench_inv*)arg; @@ -366,10 +385,22 @@ static void bench_context(void* arg, int iters) { int main(int argc, char **argv) { bench_inv data; - int iters = get_iters(20000); + int default_iters = 20000; + int iters = get_iters(default_iters); int d = argc == 1; /* default */ + + if (argc > 1) { + if (have_flag(argc, argv, "-h") + || have_flag(argc, argv, "--help") + || have_flag(argc, argv, "help")) { + help(default_iters); + return EXIT_SUCCESS; + } + } + print_output_table_header_row(); + if (d || have_flag(argc, argv, "scalar") || have_flag(argc, argv, "half")) run_benchmark("scalar_half", bench_scalar_half, bench_setup, NULL, &data, 10, iters*100); if (d || have_flag(argc, argv, "scalar") || have_flag(argc, argv, "add")) run_benchmark("scalar_add", bench_scalar_add, bench_setup, NULL, &data, 10, iters*100); if (d || have_flag(argc, argv, "scalar") || have_flag(argc, argv, "negate")) run_benchmark("scalar_negate", bench_scalar_negate, bench_setup, NULL, &data, 10, iters*100); if (d || have_flag(argc, argv, "scalar") || have_flag(argc, argv, "mul")) run_benchmark("scalar_mul", bench_scalar_mul, bench_setup, NULL, &data, 10, iters*10); @@ -394,7 +425,6 @@ int main(int argc, char **argv) { if (d || have_flag(argc, argv, "group") || have_flag(argc, argv, "add")) run_benchmark("group_add_zinv_var", bench_group_add_zinv_var, bench_setup, NULL, &data, 10, iters*10); if (d || have_flag(argc, argv, "group") || have_flag(argc, argv, "to_affine")) run_benchmark("group_to_affine_var", bench_group_to_affine_var, bench_setup, NULL, &data, 10, iters); - if (d || have_flag(argc, argv, "ecmult") || have_flag(argc, argv, "wnaf")) run_benchmark("wnaf_const", bench_wnaf_const, bench_setup, NULL, &data, 10, iters); if (d || have_flag(argc, argv, "ecmult") || have_flag(argc, argv, "wnaf")) run_benchmark("ecmult_wnaf", bench_ecmult_wnaf, bench_setup, NULL, &data, 10, iters); if (d || have_flag(argc, argv, "hash") || have_flag(argc, argv, "sha256")) run_benchmark("hash_sha256", bench_sha256, bench_setup, NULL, &data, 10, iters); @@ -403,5 +433,5 @@ int main(int argc, char **argv) { if (d || have_flag(argc, argv, "context")) run_benchmark("context_create", bench_context, bench_setup, NULL, &data, 10, iters); - return 0; + return EXIT_SUCCESS; } diff --git a/src/checkmem.h b/src/checkmem.h index 571e4cc389..08eae47d78 100644 --- a/src/checkmem.h +++ b/src/checkmem.h @@ -30,6 +30,8 @@ * - SECP256K1_CHECKMEM_DEFINE(p, len): * - marks the len-byte memory pointed to by p as defined data (public data, in the * context of constant-time checking). + * - SECP256K1_CHECKMEM_MSAN_DEFINE(p, len): + * - Like SECP256K1_CHECKMEM_DEFINE, but applies only to memory_sanitizer. * */ @@ -46,19 +48,41 @@ # if __has_feature(memory_sanitizer) # include # define SECP256K1_CHECKMEM_ENABLED 1 -# define SECP256K1_CHECKMEM_UNDEFINE(p, len) __msan_allocated_memory((p), (len)) +# if defined(__clang__) && ((__clang_major__ == 21 && __clang_minor__ >= 1) || __clang_major__ >= 22) +# define SECP256K1_CHECKMEM_UNDEFINE(p, len) do { \ + /* Work around https://github.com/llvm/llvm-project/issues/160094 */ \ + _Pragma("clang diagnostic push") \ + _Pragma("clang diagnostic ignored \"-Wuninitialized-const-pointer\"") \ + __msan_allocated_memory((p), (len)); \ + _Pragma("clang diagnostic pop") \ + } while(0) +# else +# define SECP256K1_CHECKMEM_UNDEFINE(p, len) __msan_allocated_memory((p), (len)) +# endif # define SECP256K1_CHECKMEM_DEFINE(p, len) __msan_unpoison((p), (len)) +# define SECP256K1_CHECKMEM_MSAN_DEFINE(p, len) __msan_unpoison((p), (len)) # define SECP256K1_CHECKMEM_CHECK(p, len) __msan_check_mem_is_initialized((p), (len)) # define SECP256K1_CHECKMEM_RUNNING() (1) # endif #endif +#if !defined SECP256K1_CHECKMEM_MSAN_DEFINE +# define SECP256K1_CHECKMEM_MSAN_DEFINE(p, len) SECP256K1_CHECKMEM_NOOP((p), (len)) +#endif + /* If valgrind integration is desired (through the VALGRIND define), implement the * SECP256K1_CHECKMEM_* macros using valgrind. */ #if !defined SECP256K1_CHECKMEM_ENABLED # if defined VALGRIND # include +# if defined(__clang__) && defined(__APPLE__) +# pragma clang diagnostic push +# pragma clang diagnostic ignored "-Wreserved-identifier" +# endif # include +# if defined(__clang__) && defined(__APPLE__) +# pragma clang diagnostic pop +# endif # define SECP256K1_CHECKMEM_ENABLED 1 # define SECP256K1_CHECKMEM_UNDEFINE(p, len) VALGRIND_MAKE_MEM_UNDEFINED((p), (len)) # define SECP256K1_CHECKMEM_DEFINE(p, len) VALGRIND_MAKE_MEM_DEFINED((p), (len)) diff --git a/src/ctime_tests.c b/src/ctime_tests.c index 713eb427d3..f81bdb9228 100644 --- a/src/ctime_tests.c +++ b/src/ctime_tests.c @@ -5,6 +5,8 @@ ***********************************************************************/ #include +#include +#include #include "../include/secp256k1.h" #include "assumptions.h" @@ -30,6 +32,14 @@ #include "../include/secp256k1_schnorrsig.h" #endif +#ifdef ENABLE_MODULE_MUSIG +#include "../include/secp256k1_musig.h" +#endif + +#ifdef ENABLE_MODULE_ELLSWIFT +#include "../include/secp256k1_ellswift.h" +#endif + static void run_tests(secp256k1_context *ctx, unsigned char *key); int main(void) { @@ -40,7 +50,7 @@ int main(void) { if (!SECP256K1_CHECKMEM_RUNNING()) { fprintf(stderr, "This test can only usefully be run inside valgrind because it was not compiled under msan.\n"); fprintf(stderr, "Usage: libtool --mode=execute valgrind ./ctime_tests\n"); - return 1; + return EXIT_FAILURE; } ctx = secp256k1_context_create(SECP256K1_CONTEXT_DECLASSIFY); /** In theory, testing with a single secret input should be sufficient: @@ -60,7 +70,7 @@ int main(void) { CHECK(ret); secp256k1_context_destroy(ctx); - return 0; + return EXIT_SUCCESS; } static void run_tests(secp256k1_context *ctx, unsigned char *key) { @@ -80,6 +90,10 @@ static void run_tests(secp256k1_context *ctx, unsigned char *key) { #ifdef ENABLE_MODULE_EXTRAKEYS secp256k1_keypair keypair; #endif +#ifdef ENABLE_MODULE_ELLSWIFT + unsigned char ellswift[64]; + static const unsigned char prefix[64] = {'t', 'e', 's', 't'}; +#endif for (i = 0; i < 32; i++) { msg[i] = i + 1; @@ -171,4 +185,83 @@ static void run_tests(secp256k1_context *ctx, unsigned char *key) { SECP256K1_CHECKMEM_DEFINE(&ret, sizeof(ret)); CHECK(ret == 1); #endif + +#ifdef ENABLE_MODULE_MUSIG + { + secp256k1_pubkey pk; + const secp256k1_pubkey *pk_ptr[1]; + secp256k1_xonly_pubkey agg_pk; + unsigned char session_secrand[32]; + uint64_t nonrepeating_cnt = 0; + secp256k1_musig_secnonce secnonce; + secp256k1_musig_pubnonce pubnonce; + const secp256k1_musig_pubnonce *pubnonce_ptr[1]; + secp256k1_musig_aggnonce aggnonce; + secp256k1_musig_keyagg_cache cache; + secp256k1_musig_session session; + secp256k1_musig_partial_sig partial_sig; + unsigned char extra_input[32]; + + pk_ptr[0] = &pk; + pubnonce_ptr[0] = &pubnonce; + SECP256K1_CHECKMEM_DEFINE(key, 32); + memcpy(session_secrand, key, sizeof(session_secrand)); + session_secrand[0] = session_secrand[0] + 1; + memcpy(extra_input, key, sizeof(extra_input)); + extra_input[0] = extra_input[0] + 2; + + CHECK(secp256k1_keypair_create(ctx, &keypair, key)); + CHECK(secp256k1_keypair_pub(ctx, &pk, &keypair)); + CHECK(secp256k1_musig_pubkey_agg(ctx, &agg_pk, &cache, pk_ptr, 1)); + + SECP256K1_CHECKMEM_UNDEFINE(key, 32); + SECP256K1_CHECKMEM_UNDEFINE(session_secrand, sizeof(session_secrand)); + SECP256K1_CHECKMEM_UNDEFINE(extra_input, sizeof(extra_input)); + ret = secp256k1_musig_nonce_gen(ctx, &secnonce, &pubnonce, session_secrand, key, &pk, msg, &cache, extra_input); + SECP256K1_CHECKMEM_DEFINE(&ret, sizeof(ret)); + CHECK(ret == 1); + ret = secp256k1_musig_nonce_gen_counter(ctx, &secnonce, &pubnonce, nonrepeating_cnt, &keypair, msg, &cache, extra_input); + SECP256K1_CHECKMEM_DEFINE(&ret, sizeof(ret)); + CHECK(ret == 1); + + CHECK(secp256k1_musig_nonce_agg(ctx, &aggnonce, pubnonce_ptr, 1)); + /* Make sure that previous tests don't undefine msg. It's not used as a secret here. */ + SECP256K1_CHECKMEM_DEFINE(msg, sizeof(msg)); + CHECK(secp256k1_musig_nonce_process(ctx, &session, &aggnonce, msg, &cache) == 1); + + ret = secp256k1_keypair_create(ctx, &keypair, key); + SECP256K1_CHECKMEM_DEFINE(&ret, sizeof(ret)); + CHECK(ret == 1); + ret = secp256k1_musig_partial_sign(ctx, &partial_sig, &secnonce, &keypair, &cache, &session); + SECP256K1_CHECKMEM_DEFINE(&ret, sizeof(ret)); + CHECK(ret == 1); + } +#endif + +#ifdef ENABLE_MODULE_ELLSWIFT + SECP256K1_CHECKMEM_UNDEFINE(key, 32); + ret = secp256k1_ellswift_create(ctx, ellswift, key, NULL); + SECP256K1_CHECKMEM_DEFINE(&ret, sizeof(ret)); + CHECK(ret == 1); + + SECP256K1_CHECKMEM_UNDEFINE(key, 32); + ret = secp256k1_ellswift_create(ctx, ellswift, key, ellswift); + SECP256K1_CHECKMEM_DEFINE(&ret, sizeof(ret)); + CHECK(ret == 1); + + for (i = 0; i < 2; i++) { + SECP256K1_CHECKMEM_UNDEFINE(key, 32); + SECP256K1_CHECKMEM_DEFINE(&ellswift, sizeof(ellswift)); + ret = secp256k1_ellswift_xdh(ctx, msg, ellswift, ellswift, key, i, secp256k1_ellswift_xdh_hash_function_bip324, NULL); + SECP256K1_CHECKMEM_DEFINE(&ret, sizeof(ret)); + CHECK(ret == 1); + + SECP256K1_CHECKMEM_UNDEFINE(key, 32); + SECP256K1_CHECKMEM_DEFINE(&ellswift, sizeof(ellswift)); + ret = secp256k1_ellswift_xdh(ctx, msg, ellswift, ellswift, key, i, secp256k1_ellswift_xdh_hash_function_prefix, (void *)prefix); + SECP256K1_CHECKMEM_DEFINE(&ret, sizeof(ret)); + CHECK(ret == 1); + } + +#endif } diff --git a/src/ecdsa_impl.h b/src/ecdsa_impl.h index 90b4b22b77..ce36e85e6a 100644 --- a/src/ecdsa_impl.h +++ b/src/ecdsa_impl.h @@ -16,17 +16,8 @@ #include "ecdsa.h" /** Group order for secp256k1 defined as 'n' in "Standards for Efficient Cryptography" (SEC2) 2.7.1 - * sage: for t in xrange(1023, -1, -1): - * .. p = 2**256 - 2**32 - t - * .. if p.is_prime(): - * .. print '%x'%p - * .. break - * 'fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f' - * sage: a = 0 - * sage: b = 7 - * sage: F = FiniteField (p) - * sage: '%x' % (EllipticCurve ([F (a), F (b)]).order()) - * 'fffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd0364141' + * $ sage -c 'load("secp256k1_params.sage"); print(hex(N))' + * 0xfffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd0364141 */ static const secp256k1_fe secp256k1_ecdsa_const_order_as_fe = SECP256K1_FE_CONST( 0xFFFFFFFFUL, 0xFFFFFFFFUL, 0xFFFFFFFFUL, 0xFFFFFFFEUL, @@ -35,12 +26,8 @@ static const secp256k1_fe secp256k1_ecdsa_const_order_as_fe = SECP256K1_FE_CONST /** Difference between field and order, values 'p' and 'n' values defined in * "Standards for Efficient Cryptography" (SEC2) 2.7.1. - * sage: p = 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFC2F - * sage: a = 0 - * sage: b = 7 - * sage: F = FiniteField (p) - * sage: '%x' % (p - EllipticCurve ([F (a), F (b)]).order()) - * '14551231950b75fc4402da1722fc9baee' + * $ sage -c 'load("secp256k1_params.sage"); print(hex(P-N))' + * 0x14551231950b75fc4402da1722fc9baee */ static const secp256k1_fe secp256k1_ecdsa_const_p_minus_order = SECP256K1_FE_CONST( 0, 0, 0, 1, 0x45512319UL, 0x50B75FC4UL, 0x402DA172UL, 0x2FC9BAEEUL @@ -79,8 +66,7 @@ static int secp256k1_der_read_len(size_t *len, const unsigned char **sigp, const } if (lenleft > sizeof(size_t)) { /* The resulting length would exceed the range of a size_t, so - * certainly longer than the passed array size. - */ + * it is certainly longer than the passed array size. */ return 0; } while (lenleft > 0) { @@ -89,7 +75,9 @@ static int secp256k1_der_read_len(size_t *len, const unsigned char **sigp, const lenleft--; } if (*len > (size_t)(sigend - *sigp)) { - /* Result exceeds the length of the passed array. */ + /* Result exceeds the length of the passed array. + (Checking this is the responsibility of the caller but it + can't hurt do it here, too.) */ return 0; } if (*len < 128) { @@ -239,7 +227,8 @@ static int secp256k1_ecdsa_sig_verify(const secp256k1_scalar *sigr, const secp25 } #else secp256k1_scalar_get_b32(c, sigr); - secp256k1_fe_set_b32(&xr, c); + /* we can ignore the fe_set_b32_limit return value, because we know the input is in range */ + (void)secp256k1_fe_set_b32_limit(&xr, c); /** We now have the recomputed R point in pr, and its claimed x coordinate (modulo n) * in xr. Naively, we would extract the x coordinate from pr (requiring a inversion modulo p), diff --git a/src/eckey.h b/src/eckey.h index d54d44c997..c2bbc4703e 100644 --- a/src/eckey.h +++ b/src/eckey.h @@ -15,7 +15,10 @@ #include "ecmult_gen.h" static int secp256k1_eckey_pubkey_parse(secp256k1_ge *elem, const unsigned char *pub, size_t size); -static int secp256k1_eckey_pubkey_serialize(secp256k1_ge *elem, unsigned char *pub, size_t *size, int compressed); +/** Serialize a group element (that is not allowed to be infinity) to a compressed public key (33 bytes). */ +static void secp256k1_eckey_pubkey_serialize33(secp256k1_ge *elem, unsigned char *pub33); +/** Serialize a group element (that is not allowed to be infinity) to an uncompressed public key (65 bytes). */ +static void secp256k1_eckey_pubkey_serialize65(secp256k1_ge *elem, unsigned char *pub65); static int secp256k1_eckey_privkey_tweak_add(secp256k1_scalar *key, const secp256k1_scalar *tweak); static int secp256k1_eckey_pubkey_tweak_add(secp256k1_ge *key, const secp256k1_scalar *tweak); diff --git a/src/eckey_impl.h b/src/eckey_impl.h index e0506d3e2b..48745e8fe7 100644 --- a/src/eckey_impl.h +++ b/src/eckey_impl.h @@ -9,6 +9,7 @@ #include "eckey.h" +#include "util.h" #include "scalar.h" #include "field.h" #include "group.h" @@ -17,10 +18,10 @@ static int secp256k1_eckey_pubkey_parse(secp256k1_ge *elem, const unsigned char *pub, size_t size) { if (size == 33 && (pub[0] == SECP256K1_TAG_PUBKEY_EVEN || pub[0] == SECP256K1_TAG_PUBKEY_ODD)) { secp256k1_fe x; - return secp256k1_fe_set_b32(&x, pub+1) && secp256k1_ge_set_xo_var(elem, &x, pub[0] == SECP256K1_TAG_PUBKEY_ODD); + return secp256k1_fe_set_b32_limit(&x, pub+1) && secp256k1_ge_set_xo_var(elem, &x, pub[0] == SECP256K1_TAG_PUBKEY_ODD); } else if (size == 65 && (pub[0] == SECP256K1_TAG_PUBKEY_UNCOMPRESSED || pub[0] == SECP256K1_TAG_PUBKEY_HYBRID_EVEN || pub[0] == SECP256K1_TAG_PUBKEY_HYBRID_ODD)) { secp256k1_fe x, y; - if (!secp256k1_fe_set_b32(&x, pub+1) || !secp256k1_fe_set_b32(&y, pub+33)) { + if (!secp256k1_fe_set_b32_limit(&x, pub+1) || !secp256k1_fe_set_b32_limit(&y, pub+33)) { return 0; } secp256k1_ge_set_xy(elem, &x, &y); @@ -34,22 +35,23 @@ static int secp256k1_eckey_pubkey_parse(secp256k1_ge *elem, const unsigned char } } -static int secp256k1_eckey_pubkey_serialize(secp256k1_ge *elem, unsigned char *pub, size_t *size, int compressed) { - if (secp256k1_ge_is_infinity(elem)) { - return 0; - } +static void secp256k1_eckey_pubkey_serialize33(secp256k1_ge *elem, unsigned char *pub33) { + VERIFY_CHECK(!secp256k1_ge_is_infinity(elem)); + secp256k1_fe_normalize_var(&elem->x); secp256k1_fe_normalize_var(&elem->y); - secp256k1_fe_get_b32(&pub[1], &elem->x); - if (compressed) { - *size = 33; - pub[0] = secp256k1_fe_is_odd(&elem->y) ? SECP256K1_TAG_PUBKEY_ODD : SECP256K1_TAG_PUBKEY_EVEN; - } else { - *size = 65; - pub[0] = SECP256K1_TAG_PUBKEY_UNCOMPRESSED; - secp256k1_fe_get_b32(&pub[33], &elem->y); - } - return 1; + pub33[0] = secp256k1_fe_is_odd(&elem->y) ? SECP256K1_TAG_PUBKEY_ODD : SECP256K1_TAG_PUBKEY_EVEN; + secp256k1_fe_get_b32(&pub33[1], &elem->x); +} + +static void secp256k1_eckey_pubkey_serialize65(secp256k1_ge *elem, unsigned char *pub65) { + VERIFY_CHECK(!secp256k1_ge_is_infinity(elem)); + + secp256k1_fe_normalize_var(&elem->x); + secp256k1_fe_normalize_var(&elem->y); + pub65[0] = SECP256K1_TAG_PUBKEY_UNCOMPRESSED; + secp256k1_fe_get_b32(&pub65[1], &elem->x); + secp256k1_fe_get_b32(&pub65[33], &elem->y); } static int secp256k1_eckey_privkey_tweak_add(secp256k1_scalar *key, const secp256k1_scalar *tweak) { @@ -59,10 +61,8 @@ static int secp256k1_eckey_privkey_tweak_add(secp256k1_scalar *key, const secp25 static int secp256k1_eckey_pubkey_tweak_add(secp256k1_ge *key, const secp256k1_scalar *tweak) { secp256k1_gej pt; - secp256k1_scalar one; secp256k1_gej_set_ge(&pt, key); - secp256k1_scalar_set_int(&one, 1); - secp256k1_ecmult(&pt, &pt, &one, tweak); + secp256k1_ecmult(&pt, &pt, &secp256k1_scalar_one, tweak); if (secp256k1_gej_is_infinity(&pt)) { return 0; @@ -80,15 +80,13 @@ static int secp256k1_eckey_privkey_tweak_mul(secp256k1_scalar *key, const secp25 } static int secp256k1_eckey_pubkey_tweak_mul(secp256k1_ge *key, const secp256k1_scalar *tweak) { - secp256k1_scalar zero; secp256k1_gej pt; if (secp256k1_scalar_is_zero(tweak)) { return 0; } - secp256k1_scalar_set_int(&zero, 0); secp256k1_gej_set_ge(&pt, key); - secp256k1_ecmult(&pt, &pt, tweak, &zero); + secp256k1_ecmult(&pt, &pt, tweak, &secp256k1_scalar_zero); secp256k1_ge_set_gej(key, &pt); return 1; } diff --git a/src/ecmult.h b/src/ecmult.h index e28c602506..326a5eeb43 100644 --- a/src/ecmult.h +++ b/src/ecmult.h @@ -22,7 +22,7 @@ # pragma message DEBUG_CONFIG_DEF(ECMULT_WINDOW_SIZE) #endif -/* Noone will ever need more than a window size of 24. The code might +/* No one will ever need more than a window size of 24. The code might * be correct for larger values of ECMULT_WINDOW_SIZE but this is not * tested. * diff --git a/src/ecmult_const.h b/src/ecmult_const.h index f891f3f306..080e04bc88 100644 --- a/src/ecmult_const.h +++ b/src/ecmult_const.h @@ -11,11 +11,28 @@ #include "group.h" /** - * Multiply: R = q*A (in constant-time) - * Here `bits` should be set to the maximum bitlength of the _absolute value_ of `q`, plus - * one because we internally sometimes add 2 to the number during the WNAF conversion. - * A must not be infinity. + * Multiply: R = q*A (in constant-time for q) */ -static void secp256k1_ecmult_const(secp256k1_gej *r, const secp256k1_ge *a, const secp256k1_scalar *q, int bits); +static void secp256k1_ecmult_const(secp256k1_gej *r, const secp256k1_ge *a, const secp256k1_scalar *q); + +/** + * Same as secp256k1_ecmult_const, but takes in an x coordinate of the base point + * only, specified as fraction n/d (numerator/denominator). Only the x coordinate of the result is + * returned. + * + * If known_on_curve is 0, a verification is performed that n/d is a valid X + * coordinate, and 0 is returned if not. Otherwise, 1 is returned. + * + * d being NULL is interpreted as d=1. If non-NULL, d must not be zero. q must not be zero. + * + * Constant time in the value of q, but not any other inputs. + */ +static int secp256k1_ecmult_const_xonly( + secp256k1_fe *r, + const secp256k1_fe *n, + const secp256k1_fe *d, + const secp256k1_scalar *q, + int known_on_curve +); #endif /* SECP256K1_ECMULT_CONST_H */ diff --git a/src/ecmult_const_impl.h b/src/ecmult_const_impl.h index 12dbcc6c5b..4f66209105 100644 --- a/src/ecmult_const_impl.h +++ b/src/ecmult_const_impl.h @@ -1,5 +1,5 @@ /*********************************************************************** - * Copyright (c) 2015 Pieter Wuille, Andrew Poelstra * + * Copyright (c) 2015, 2022 Pieter Wuille, Andrew Poelstra * * Distributed under the MIT software license, see the accompanying * * file COPYING or https://www.opensource.org/licenses/mit-license.php.* ***********************************************************************/ @@ -12,220 +12,390 @@ #include "ecmult_const.h" #include "ecmult_impl.h" +#if defined(EXHAUSTIVE_TEST_ORDER) +/* We need 2^ECMULT_CONST_GROUP_SIZE - 1 to be less than EXHAUSTIVE_TEST_ORDER, because + * the tables cannot have infinities in them (this breaks the effective-affine technique's + * z-ratio tracking) */ +# if EXHAUSTIVE_TEST_ORDER == 199 +# define ECMULT_CONST_GROUP_SIZE 4 +# elif EXHAUSTIVE_TEST_ORDER == 13 +# define ECMULT_CONST_GROUP_SIZE 3 +# elif EXHAUSTIVE_TEST_ORDER == 7 +# define ECMULT_CONST_GROUP_SIZE 2 +# else +# error "Unknown EXHAUSTIVE_TEST_ORDER" +# endif +#else +/* Group size 4 or 5 appears optimal. */ +# define ECMULT_CONST_GROUP_SIZE 5 +#endif + +#define ECMULT_CONST_TABLE_SIZE (1L << (ECMULT_CONST_GROUP_SIZE - 1)) +#define ECMULT_CONST_GROUPS ((129 + ECMULT_CONST_GROUP_SIZE - 1) / ECMULT_CONST_GROUP_SIZE) +#define ECMULT_CONST_BITS (ECMULT_CONST_GROUPS * ECMULT_CONST_GROUP_SIZE) + /** Fill a table 'pre' with precomputed odd multiples of a. * * The resulting point set is brought to a single constant Z denominator, stores the X and Y - * coordinates as ge_storage points in pre, and stores the global Z in globalz. - * It only operates on tables sized for WINDOW_A wnaf multiples. + * coordinates as ge points in pre, and stores the global Z in globalz. + * + * 'pre' must be an array of size ECMULT_CONST_TABLE_SIZE. */ -static void secp256k1_ecmult_odd_multiples_table_globalz_windowa(secp256k1_ge *pre, secp256k1_fe *globalz, const secp256k1_gej *a) { - secp256k1_fe zr[ECMULT_TABLE_SIZE(WINDOW_A)]; +static void secp256k1_ecmult_const_odd_multiples_table_globalz(secp256k1_ge *pre, secp256k1_fe *globalz, const secp256k1_gej *a) { + secp256k1_fe zr[ECMULT_CONST_TABLE_SIZE]; - secp256k1_ecmult_odd_multiples_table(ECMULT_TABLE_SIZE(WINDOW_A), pre, zr, globalz, a); - secp256k1_ge_table_set_globalz(ECMULT_TABLE_SIZE(WINDOW_A), pre, zr); + secp256k1_ecmult_odd_multiples_table(ECMULT_CONST_TABLE_SIZE, pre, zr, globalz, a); + secp256k1_ge_table_set_globalz(ECMULT_CONST_TABLE_SIZE, pre, zr); } -/* This is like `ECMULT_TABLE_GET_GE` but is constant time */ -#define ECMULT_CONST_TABLE_GET_GE(r,pre,n,w) do { \ - int m = 0; \ - /* Extract the sign-bit for a constant time absolute-value. */ \ - int mask = (n) >> (sizeof(n) * CHAR_BIT - 1); \ - int abs_n = ((n) + mask) ^ mask; \ - int idx_n = abs_n >> 1; \ +/* Given a table 'pre' with odd multiples of a point, put in r the signed-bit multiplication of n with that point. + * + * For example, if ECMULT_CONST_GROUP_SIZE is 4, then pre is expected to contain 8 entries: + * [1*P, 3*P, 5*P, 7*P, 9*P, 11*P, 13*P, 15*P]. n is then expected to be a 4-bit integer (range 0-15), and its + * bits are interpreted as signs of powers of two to look up. + * + * For example, if n=4, which is 0100 in binary, which is interpreted as [- + - -], so the looked up value is + * [ -(2^3) + (2^2) - (2^1) - (2^0) ]*P = -7*P. Every valid n translates to an odd number in range [-15,15], + * which means we just need to look up one of the precomputed values, and optionally negate it. + */ +#define ECMULT_CONST_TABLE_GET_GE(r,pre,n) do { \ + unsigned int m = 0; \ + /* If the top bit of n is 0, we want the negation. */ \ + volatile unsigned int negative = ((n) >> (ECMULT_CONST_GROUP_SIZE - 1)) ^ 1; \ + /* Let n[i] be the i-th bit of n, then the index is + * sum(cnot(n[i]) * 2^i, i=0..l-2) + * where cnot(b) = b if n[l-1] = 1 and 1 - b otherwise. + * For example, if n = 4, in binary 0100, the index is 3, in binary 011. + * + * Proof: + * Let + * x = sum((2*n[i] - 1)*2^i, i=0..l-1) + * = 2*sum(n[i] * 2^i, i=0..l-1) - 2^l + 1 + * be the value represented by n. + * The index is (x - 1)/2 if x > 0 and -(x + 1)/2 otherwise. + * Case x > 0: + * n[l-1] = 1 + * index = sum(n[i] * 2^i, i=0..l-1) - 2^(l-1) + * = sum(n[i] * 2^i, i=0..l-2) + * Case x <= 0: + * n[l-1] = 0 + * index = -(2*sum(n[i] * 2^i, i=0..l-1) - 2^l + 2)/2 + * = 2^(l-1) - 1 - sum(n[i] * 2^i, i=0..l-1) + * = sum((1 - n[i]) * 2^i, i=0..l-2) + */ \ + unsigned int index = ((unsigned int)(-negative) ^ n) & ((1U << (ECMULT_CONST_GROUP_SIZE - 1)) - 1U); \ secp256k1_fe neg_y; \ - VERIFY_CHECK(((n) & 1) == 1); \ - VERIFY_CHECK((n) >= -((1 << ((w)-1)) - 1)); \ - VERIFY_CHECK((n) <= ((1 << ((w)-1)) - 1)); \ - VERIFY_SETUP(secp256k1_fe_clear(&(r)->x)); \ - VERIFY_SETUP(secp256k1_fe_clear(&(r)->y)); \ - /* Unconditionally set r->x = (pre)[m].x. r->y = (pre)[m].y. because it's either the correct one \ + VERIFY_CHECK((n) < (1U << ECMULT_CONST_GROUP_SIZE)); \ + VERIFY_CHECK(index < (1U << (ECMULT_CONST_GROUP_SIZE - 1))); \ + /* Unconditionally set r->x = (pre)[m].x. r->y = (pre)[m].y. because it's either the correct one * or will get replaced in the later iterations, this is needed to make sure `r` is initialized. */ \ (r)->x = (pre)[m].x; \ (r)->y = (pre)[m].y; \ - for (m = 1; m < ECMULT_TABLE_SIZE(w); m++) { \ + for (m = 1; m < ECMULT_CONST_TABLE_SIZE; m++) { \ /* This loop is used to avoid secret data in array indices. See * the comment in ecmult_gen_impl.h for rationale. */ \ - secp256k1_fe_cmov(&(r)->x, &(pre)[m].x, m == idx_n); \ - secp256k1_fe_cmov(&(r)->y, &(pre)[m].y, m == idx_n); \ + secp256k1_fe_cmov(&(r)->x, &(pre)[m].x, m == index); \ + secp256k1_fe_cmov(&(r)->y, &(pre)[m].y, m == index); \ } \ (r)->infinity = 0; \ secp256k1_fe_negate(&neg_y, &(r)->y, 1); \ - secp256k1_fe_cmov(&(r)->y, &neg_y, (n) != abs_n); \ + secp256k1_fe_cmov(&(r)->y, &neg_y, negative); \ } while(0) -/** Convert a number to WNAF notation. - * The number becomes represented by sum(2^{wi} * wnaf[i], i=0..WNAF_SIZE(w)+1) - return_val. - * It has the following guarantees: - * - each wnaf[i] an odd integer between -(1 << w) and (1 << w) - * - each wnaf[i] is nonzero - * - the number of words set is always WNAF_SIZE(w) + 1 - * - * Adapted from `The Width-w NAF Method Provides Small Memory and Fast Elliptic Scalar - * Multiplications Secure against Side Channel Attacks`, Okeya and Tagaki. M. Joye (Ed.) - * CT-RSA 2003, LNCS 2612, pp. 328-443, 2003. Springer-Verlag Berlin Heidelberg 2003 - * - * Numbers reference steps of `Algorithm SPA-resistant Width-w NAF with Odd Scalar` on pp. 335 - */ -static int secp256k1_wnaf_const(int *wnaf, const secp256k1_scalar *scalar, int w, int size) { - int global_sign; - int skew; - int word = 0; - - /* 1 2 3 */ - int u_last; - int u; - - int flip; - secp256k1_scalar s = *scalar; - - VERIFY_CHECK(w > 0); - VERIFY_CHECK(size > 0); - - /* Note that we cannot handle even numbers by negating them to be odd, as is - * done in other implementations, since if our scalars were specified to have - * width < 256 for performance reasons, their negations would have width 256 - * and we'd lose any performance benefit. Instead, we use a variation of a - * technique from Section 4.2 of the Okeya/Tagaki paper, which is to add 1 to the - * number we are encoding when it is even, returning a skew value indicating - * this, and having the caller compensate after doing the multiplication. - * - * In fact, we _do_ want to negate numbers to minimize their bit-lengths (and in - * particular, to ensure that the outputs from the endomorphism-split fit into - * 128 bits). If we negate, the parity of our number flips, affecting whether - * we want to add to the scalar to ensure that it's odd. */ - flip = secp256k1_scalar_is_high(&s); - skew = flip ^ secp256k1_scalar_is_even(&s); - secp256k1_scalar_cadd_bit(&s, 0, skew); - global_sign = secp256k1_scalar_cond_negate(&s, flip); - - /* 4 */ - u_last = secp256k1_scalar_shr_int(&s, w); - do { - int even; - - /* 4.1 4.4 */ - u = secp256k1_scalar_shr_int(&s, w); - /* 4.2 */ - even = ((u & 1) == 0); - /* In contrast to the original algorithm, u_last is always > 0 and - * therefore we do not need to check its sign. In particular, it's easy - * to see that u_last is never < 0 because u is never < 0. Moreover, - * u_last is never = 0 because u is never even after a loop - * iteration. The same holds analogously for the initial value of - * u_last (in the first loop iteration). */ - VERIFY_CHECK(u_last > 0); - VERIFY_CHECK((u_last & 1) == 1); - u += even; - u_last -= even * (1 << w); - - /* 4.3, adapted for global sign change */ - wnaf[word++] = u_last * global_sign; - - u_last = u; - } while (word * w < size); - wnaf[word] = u * global_sign; - - VERIFY_CHECK(secp256k1_scalar_is_zero(&s)); - VERIFY_CHECK(word == WNAF_SIZE_BITS(size, w)); - return skew; -} +/* For K as defined in the comment of secp256k1_ecmult_const, we have several precomputed + * formulas/constants. + * - in exhaustive test mode, we give an explicit expression to compute it at compile time: */ +#ifdef EXHAUSTIVE_TEST_ORDER +static const secp256k1_scalar secp256k1_ecmult_const_K = ((SECP256K1_SCALAR_CONST(0, 0, 0, (1U << (ECMULT_CONST_BITS - 128)) - 2U, 0, 0, 0, 0) + EXHAUSTIVE_TEST_ORDER - 1U) * (1U + EXHAUSTIVE_TEST_LAMBDA)) % EXHAUSTIVE_TEST_ORDER; +/* - for the real secp256k1 group we have constants for various ECMULT_CONST_BITS values. */ +#elif ECMULT_CONST_BITS == 129 +/* For GROUP_SIZE = 1,3. */ +static const secp256k1_scalar secp256k1_ecmult_const_K = SECP256K1_SCALAR_CONST(0xac9c52b3ul, 0x3fa3cf1ful, 0x5ad9e3fdul, 0x77ed9ba4ul, 0xa880b9fcul, 0x8ec739c2ul, 0xe0cfc810ul, 0xb51283ceul); +#elif ECMULT_CONST_BITS == 130 +/* For GROUP_SIZE = 2,5. */ +static const secp256k1_scalar secp256k1_ecmult_const_K = SECP256K1_SCALAR_CONST(0xa4e88a7dul, 0xcb13034eul, 0xc2bdd6bful, 0x7c118d6bul, 0x589ae848ul, 0x26ba29e4ul, 0xb5c2c1dcul, 0xde9798d9ul); +#elif ECMULT_CONST_BITS == 132 +/* For GROUP_SIZE = 4,6 */ +static const secp256k1_scalar secp256k1_ecmult_const_K = SECP256K1_SCALAR_CONST(0x76b1d93dul, 0x0fae3c6bul, 0x3215874bul, 0x94e93813ul, 0x7937fe0dul, 0xb66bcaaful, 0xb3749ca5ul, 0xd7b6171bul); +#else +# error "Unknown ECMULT_CONST_BITS" +#endif -static void secp256k1_ecmult_const(secp256k1_gej *r, const secp256k1_ge *a, const secp256k1_scalar *scalar, int size) { - secp256k1_ge pre_a[ECMULT_TABLE_SIZE(WINDOW_A)]; - secp256k1_ge tmpa; - secp256k1_fe Z; - - int skew_1; - secp256k1_ge pre_a_lam[ECMULT_TABLE_SIZE(WINDOW_A)]; - int wnaf_lam[1 + WNAF_SIZE(WINDOW_A - 1)]; - int skew_lam; - secp256k1_scalar q_1, q_lam; - int wnaf_1[1 + WNAF_SIZE(WINDOW_A - 1)]; - - int i; - - /* build wnaf representation for q. */ - int rsize = size; - if (size > 128) { - rsize = 128; - /* split q into q_1 and q_lam (where q = q_1 + q_lam*lambda, and q_1 and q_lam are ~128 bit) */ - secp256k1_scalar_split_lambda(&q_1, &q_lam, scalar); - skew_1 = secp256k1_wnaf_const(wnaf_1, &q_1, WINDOW_A - 1, 128); - skew_lam = secp256k1_wnaf_const(wnaf_lam, &q_lam, WINDOW_A - 1, 128); - } else - { - skew_1 = secp256k1_wnaf_const(wnaf_1, scalar, WINDOW_A - 1, size); - skew_lam = 0; +static void secp256k1_ecmult_const(secp256k1_gej *r, const secp256k1_ge *a, const secp256k1_scalar *q) { + /* The approach below combines the signed-digit logic from Mike Hamburg's + * "Fast and compact elliptic-curve cryptography" (https://eprint.iacr.org/2012/309) + * Section 3.3, with the GLV endomorphism. + * + * The idea there is to interpret the bits of a scalar as signs (1 = +, 0 = -), and compute a + * point multiplication in that fashion. Let v be an n-bit non-negative integer (0 <= v < 2^n), + * and v[i] its i'th bit (so v = sum(v[i] * 2^i, i=0..n-1)). Then define: + * + * C_l(v, A) = sum((2*v[i] - 1) * 2^i*A, i=0..l-1) + * + * Then it holds that C_l(v, A) = sum((2*v[i] - 1) * 2^i*A, i=0..l-1) + * = (2*sum(v[i] * 2^i, i=0..l-1) + 1 - 2^l) * A + * = (2*v + 1 - 2^l) * A + * + * Thus, one can compute q*A as C_256((q + 2^256 - 1) / 2, A). This is the basis for the + * paper's signed-digit multi-comb algorithm for multiplication using a precomputed table. + * + * It is appealing to try to combine this with the GLV optimization: the idea that a scalar + * s can be written as s1 + lambda*s2, where lambda is a curve-specific constant such that + * lambda*A is easy to compute, and where s1 and s2 are small. In particular we have the + * secp256k1_scalar_split_lambda function which performs such a split with the resulting s1 + * and s2 in range (-2^128, 2^128) mod n. This does work, but is uninteresting: + * + * To compute q*A: + * - Let s1, s2 = split_lambda(q) + * - Let R1 = C_256((s1 + 2^256 - 1) / 2, A) + * - Let R2 = C_256((s2 + 2^256 - 1) / 2, lambda*A) + * - Return R1 + R2 + * + * The issue is that while s1 and s2 are small-range numbers, (s1 + 2^256 - 1) / 2 (mod n) + * and (s2 + 2^256 - 1) / 2 (mod n) are not, undoing the benefit of the splitting. + * + * To make it work, we want to modify the input scalar q first, before splitting, and then only + * add a 2^128 offset of the split results (so that they end up in the single 129-bit range + * [0,2^129]). A slightly smaller offset would work due to the bounds on the split, but we pick + * 2^128 for simplicity. Let s be the scalar fed to split_lambda, and f(q) the function to + * compute it from q: + * + * To compute q*A: + * - Compute s = f(q) + * - Let s1, s2 = split_lambda(s) + * - Let v1 = s1 + 2^128 (mod n) + * - Let v2 = s2 + 2^128 (mod n) + * - Let R1 = C_l(v1, A) + * - Let R2 = C_l(v2, lambda*A) + * - Return R1 + R2 + * + * l will thus need to be at least 129, but we may overshoot by a few bits (see + * further), so keep it as a variable. + * + * To solve for s, we reason: + * q*A = R1 + R2 + * <=> q*A = C_l(s1 + 2^128, A) + C_l(s2 + 2^128, lambda*A) + * <=> q*A = (2*(s1 + 2^128) + 1 - 2^l) * A + (2*(s2 + 2^128) + 1 - 2^l) * lambda*A + * <=> q*A = (2*(s1 + s2*lambda) + (2^129 + 1 - 2^l) * (1 + lambda)) * A + * <=> q = 2*(s1 + s2*lambda) + (2^129 + 1 - 2^l) * (1 + lambda) (mod n) + * <=> q = 2*s + (2^129 + 1 - 2^l) * (1 + lambda) (mod n) + * <=> s = (q + (2^l - 2^129 - 1) * (1 + lambda)) / 2 (mod n) + * <=> f(q) = (q + K) / 2 (mod n) + * where K = (2^l - 2^129 - 1)*(1 + lambda) (mod n) + * + * We will process the computation of C_l(v1, A) and C_l(v2, lambda*A) in groups of + * ECMULT_CONST_GROUP_SIZE, so we set l to the smallest multiple of ECMULT_CONST_GROUP_SIZE + * that is not less than 129; this equals ECMULT_CONST_BITS. + */ + + /* The offset to add to s1 and s2 to make them non-negative. Equal to 2^128. */ + static const secp256k1_scalar S_OFFSET = SECP256K1_SCALAR_CONST(0, 0, 0, 1, 0, 0, 0, 0); + secp256k1_scalar s, v1, v2; + secp256k1_ge pre_a[ECMULT_CONST_TABLE_SIZE]; + secp256k1_ge pre_a_lam[ECMULT_CONST_TABLE_SIZE]; + secp256k1_fe global_z; + int group, i; + + /* We're allowed to be non-constant time in the point, and the code below (in particular, + * secp256k1_ecmult_const_odd_multiples_table_globalz) cannot deal with infinity in a + * constant-time manner anyway. */ + if (secp256k1_ge_is_infinity(a)) { + secp256k1_gej_set_infinity(r); + return; } - /* Calculate odd multiples of a. + /* Compute v1 and v2. */ + secp256k1_scalar_add(&s, q, &secp256k1_ecmult_const_K); + secp256k1_scalar_half(&s, &s); + secp256k1_scalar_split_lambda(&v1, &v2, &s); + secp256k1_scalar_add(&v1, &v1, &S_OFFSET); + secp256k1_scalar_add(&v2, &v2, &S_OFFSET); + +#ifdef VERIFY + /* Verify that v1 and v2 are in range [0, 2^129-1]. */ + for (i = 129; i < 256; ++i) { + VERIFY_CHECK(secp256k1_scalar_get_bits_limb32(&v1, i, 1) == 0); + VERIFY_CHECK(secp256k1_scalar_get_bits_limb32(&v2, i, 1) == 0); + } +#endif + + /* Calculate odd multiples of A and A*lambda. * All multiples are brought to the same Z 'denominator', which is stored - * in Z. Due to secp256k1' isomorphism we can do all operations pretending + * in global_z. Due to secp256k1' isomorphism we can do all operations pretending * that the Z coordinate was 1, use affine addition formulae, and correct * the Z coordinate of the result once at the end. */ - VERIFY_CHECK(!a->infinity); secp256k1_gej_set_ge(r, a); - secp256k1_ecmult_odd_multiples_table_globalz_windowa(pre_a, &Z, r); - for (i = 0; i < ECMULT_TABLE_SIZE(WINDOW_A); i++) { - secp256k1_fe_normalize_weak(&pre_a[i].y); - } - if (size > 128) { - for (i = 0; i < ECMULT_TABLE_SIZE(WINDOW_A); i++) { - secp256k1_ge_mul_lambda(&pre_a_lam[i], &pre_a[i]); - } - + secp256k1_ecmult_const_odd_multiples_table_globalz(pre_a, &global_z, r); + for (i = 0; i < ECMULT_CONST_TABLE_SIZE; i++) { + secp256k1_ge_mul_lambda(&pre_a_lam[i], &pre_a[i]); } - /* first loop iteration (separated out so we can directly set r, rather - * than having it start at infinity, get doubled several times, then have - * its new value added to it) */ - i = wnaf_1[WNAF_SIZE_BITS(rsize, WINDOW_A - 1)]; - VERIFY_CHECK(i != 0); - ECMULT_CONST_TABLE_GET_GE(&tmpa, pre_a, i, WINDOW_A); - secp256k1_gej_set_ge(r, &tmpa); - if (size > 128) { - i = wnaf_lam[WNAF_SIZE_BITS(rsize, WINDOW_A - 1)]; - VERIFY_CHECK(i != 0); - ECMULT_CONST_TABLE_GET_GE(&tmpa, pre_a_lam, i, WINDOW_A); - secp256k1_gej_add_ge(r, r, &tmpa); - } - /* remaining loop iterations */ - for (i = WNAF_SIZE_BITS(rsize, WINDOW_A - 1) - 1; i >= 0; i--) { - int n; + /* Next, we compute r = C_l(v1, A) + C_l(v2, lambda*A). + * + * We proceed in groups of ECMULT_CONST_GROUP_SIZE bits, operating on that many bits + * at a time, from high in v1, v2 to low. Call these bits1 (from v1) and bits2 (from v2). + * + * Now note that ECMULT_CONST_TABLE_GET_GE(&t, pre_a, bits1) loads into t a point equal + * to C_{ECMULT_CONST_GROUP_SIZE}(bits1, A), and analogously for pre_lam_a / bits2. + * This means that all we need to do is add these looked up values together, multiplied + * by 2^(ECMULT_GROUP_SIZE * group). + */ + for (group = ECMULT_CONST_GROUPS - 1; group >= 0; --group) { + /* Using the _var get_bits function is ok here, since it's only variable in offset and count, not in the scalar. */ + unsigned int bits1 = secp256k1_scalar_get_bits_var(&v1, group * ECMULT_CONST_GROUP_SIZE, ECMULT_CONST_GROUP_SIZE); + unsigned int bits2 = secp256k1_scalar_get_bits_var(&v2, group * ECMULT_CONST_GROUP_SIZE, ECMULT_CONST_GROUP_SIZE); + secp256k1_ge t; int j; - for (j = 0; j < WINDOW_A - 1; ++j) { - secp256k1_gej_double(r, r); - } - n = wnaf_1[i]; - ECMULT_CONST_TABLE_GET_GE(&tmpa, pre_a, n, WINDOW_A); - VERIFY_CHECK(n != 0); - secp256k1_gej_add_ge(r, r, &tmpa); - if (size > 128) { - n = wnaf_lam[i]; - ECMULT_CONST_TABLE_GET_GE(&tmpa, pre_a_lam, n, WINDOW_A); - VERIFY_CHECK(n != 0); - secp256k1_gej_add_ge(r, r, &tmpa); + ECMULT_CONST_TABLE_GET_GE(&t, pre_a, bits1); + if (group == ECMULT_CONST_GROUPS - 1) { + /* Directly set r in the first iteration. */ + secp256k1_gej_set_ge(r, &t); + } else { + /* Shift the result so far up. */ + for (j = 0; j < ECMULT_CONST_GROUP_SIZE; ++j) { + secp256k1_gej_double(r, r); + } + secp256k1_gej_add_ge(r, r, &t); } + ECMULT_CONST_TABLE_GET_GE(&t, pre_a_lam, bits2); + secp256k1_gej_add_ge(r, r, &t); } - { - /* Correct for wNAF skew */ - secp256k1_gej tmpj; + /* Map the result back to the secp256k1 curve from the isomorphic curve. */ + secp256k1_fe_mul(&r->z, &r->z, &global_z); +} - secp256k1_ge_neg(&tmpa, &pre_a[0]); - secp256k1_gej_add_ge(&tmpj, r, &tmpa); - secp256k1_gej_cmov(r, &tmpj, skew_1); +static int secp256k1_ecmult_const_xonly(secp256k1_fe* r, const secp256k1_fe *n, const secp256k1_fe *d, const secp256k1_scalar *q, int known_on_curve) { - if (size > 128) { - secp256k1_ge_neg(&tmpa, &pre_a_lam[0]); - secp256k1_gej_add_ge(&tmpj, r, &tmpa); - secp256k1_gej_cmov(r, &tmpj, skew_lam); + /* This algorithm is a generalization of Peter Dettman's technique for + * avoiding the square root in a random-basepoint x-only multiplication + * on a Weierstrass curve: + * https://mailarchive.ietf.org/arch/msg/cfrg/7DyYY6gg32wDgHAhgSb6XxMDlJA/ + * + * + * === Background: the effective affine technique === + * + * Let phi_u be the isomorphism that maps (x, y) on secp256k1 curve y^2 = x^3 + 7 to + * x' = u^2*x, y' = u^3*y on curve y'^2 = x'^3 + u^6*7. This new curve has the same order as + * the original (it is isomorphic), but moreover, has the same addition/doubling formulas, as + * the curve b=7 coefficient does not appear in those formulas (or at least does not appear in + * the formulas implemented in this codebase, both affine and Jacobian). See also Example 9.5.2 + * in https://www.math.auckland.ac.nz/~sgal018/crypto-book/ch9.pdf. + * + * This means any linear combination of secp256k1 points can be computed by applying phi_u + * (with non-zero u) on all input points (including the generator, if used), computing the + * linear combination on the isomorphic curve (using the same group laws), and then applying + * phi_u^{-1} to get back to secp256k1. + * + * Switching to Jacobian coordinates, note that phi_u applied to (X, Y, Z) is simply + * (X, Y, Z/u). Thus, if we want to compute (X1, Y1, Z) + (X2, Y2, Z), with identical Z + * coordinates, we can use phi_Z to transform it to (X1, Y1, 1) + (X2, Y2, 1) on an isomorphic + * curve where the affine addition formula can be used instead. + * If (X3, Y3, Z3) = (X1, Y1) + (X2, Y2) on that curve, then our answer on secp256k1 is + * (X3, Y3, Z3*Z). + * + * This is the effective affine technique: if we have a linear combination of group elements + * to compute, and all those group elements have the same Z coordinate, we can simply pretend + * that all those Z coordinates are 1, perform the computation that way, and then multiply the + * original Z coordinate back in. + * + * The technique works on any a=0 short Weierstrass curve. It is possible to generalize it to + * other curves too, but there the isomorphic curves will have different 'a' coefficients, + * which typically does affect the group laws. + * + * + * === Avoiding the square root for x-only point multiplication === + * + * In this function, we want to compute the X coordinate of q*(n/d, y), for + * y = sqrt((n/d)^3 + 7). Its negation would also be a valid Y coordinate, but by convention + * we pick whatever sqrt returns (which we assume to be a deterministic function). + * + * Let g = y^2*d^3 = n^3 + 7*d^3. This also means y = sqrt(g/d^3). + * Further let v = sqrt(d*g), which must exist as d*g = y^2*d^4 = (y*d^2)^2. + * + * The input point (n/d, y) also has Jacobian coordinates: + * + * (n/d, y, 1) + * = (n/d * v^2, y * v^3, v) + * = (n/d * d*g, y * sqrt(d^3*g^3), v) + * = (n/d * d*g, sqrt(y^2 * d^3*g^3), v) + * = (n*g, sqrt(g/d^3 * d^3*g^3), v) + * = (n*g, sqrt(g^4), v) + * = (n*g, g^2, v) + * + * It is easy to verify that both (n*g, g^2, v) and its negation (n*g, -g^2, v) have affine X + * coordinate n/d, and this holds even when the square root function doesn't have a + * deterministic sign. We choose the (n*g, g^2, v) version. + * + * Now switch to the effective affine curve using phi_v, where the input point has coordinates + * (n*g, g^2). Compute (X, Y, Z) = q * (n*g, g^2) there. + * + * Back on secp256k1, that means q * (n*g, g^2, v) = (X, Y, v*Z). This last point has affine X + * coordinate X / (v^2*Z^2) = X / (d*g*Z^2). Determining the affine Y coordinate would involve + * a square root, but as long as we only care about the resulting X coordinate, no square root + * is needed anywhere in this computation. + */ + + secp256k1_fe g, i; + secp256k1_ge p; + secp256k1_gej rj; + + /* Compute g = (n^3 + B*d^3). */ + secp256k1_fe_sqr(&g, n); + secp256k1_fe_mul(&g, &g, n); + if (d) { + secp256k1_fe b; + VERIFY_CHECK(!secp256k1_fe_normalizes_to_zero(d)); + secp256k1_fe_sqr(&b, d); + VERIFY_CHECK(SECP256K1_B <= 8); /* magnitude of b will be <= 8 after the next call */ + secp256k1_fe_mul_int(&b, SECP256K1_B); + secp256k1_fe_mul(&b, &b, d); + secp256k1_fe_add(&g, &b); + if (!known_on_curve) { + /* We need to determine whether (n/d)^3 + 7 is square. + * + * is_square((n/d)^3 + 7) + * <=> is_square(((n/d)^3 + 7) * d^4) + * <=> is_square((n^3 + 7*d^3) * d) + * <=> is_square(g * d) + */ + secp256k1_fe c; + secp256k1_fe_mul(&c, &g, d); + if (!secp256k1_fe_is_square_var(&c)) return 0; + } + } else { + secp256k1_fe_add_int(&g, SECP256K1_B); + if (!known_on_curve) { + /* g at this point equals x^3 + 7. Test if it is square. */ + if (!secp256k1_fe_is_square_var(&g)) return 0; } } - secp256k1_fe_mul(&r->z, &r->z, &Z); + SECP256K1_FE_VERIFY_MAGNITUDE(&g, 2); + + /* Compute base point P = (n*g, g^2), the effective affine version of (n*g, g^2, v), which has + * corresponding affine X coordinate n/d. */ + secp256k1_fe_mul(&p.x, &g, n); + secp256k1_fe_sqr(&p.y, &g); + p.infinity = 0; + + /* Perform x-only EC multiplication of P with q. */ + VERIFY_CHECK(!secp256k1_scalar_is_zero(q)); + secp256k1_ecmult_const(&rj, &p, q); + VERIFY_CHECK(!secp256k1_gej_is_infinity(&rj)); + + /* The resulting (X, Y, Z) point on the effective-affine isomorphic curve corresponds to + * (X, Y, Z*v) on the secp256k1 curve. The affine version of that has X coordinate + * (X / (Z^2*d*g)). */ + secp256k1_fe_sqr(&i, &rj.z); + secp256k1_fe_mul(&i, &i, &g); + if (d) secp256k1_fe_mul(&i, &i, d); + secp256k1_fe_inv(&i, &i); + secp256k1_fe_mul(r, &rj.x, &i); + + return 1; } #endif /* SECP256K1_ECMULT_CONST_IMPL_H */ diff --git a/src/ecmult_gen.h b/src/ecmult_gen.h index a430e8d5d9..43dd10c38d 100644 --- a/src/ecmult_gen.h +++ b/src/ecmult_gen.h @@ -1,5 +1,5 @@ /*********************************************************************** - * Copyright (c) 2013, 2014 Pieter Wuille * + * Copyright (c) Pieter Wuille, Peter Dettman * * Distributed under the MIT software license, see the accompanying * * file COPYING or https://www.opensource.org/licenses/mit-license.php.* ***********************************************************************/ @@ -10,31 +10,126 @@ #include "scalar.h" #include "group.h" -#ifndef ECMULT_GEN_PREC_BITS -# define ECMULT_GEN_PREC_BITS 4 + +/* Configuration parameters for the signed-digit multi-comb algorithm: + * + * - COMB_BLOCKS is the number of blocks the input is split into. Each + * has a corresponding table. + * - COMB_TEETH is the number of bits simultaneously covered by one table. + * - COMB_RANGE is the number of bits in supported scalars. For production + * purposes, only 256 is reasonable, but smaller numbers are supported for + * exhaustive test mode. + * + * The comb's spacing (COMB_SPACING), or the distance between the teeth, + * is defined as ceil(COMB_RANGE / (COMB_BLOCKS * COMB_TEETH)). Each block covers + * COMB_SPACING * COMB_TEETH consecutive bits in the input. + * + * The size of the precomputed table is COMB_BLOCKS * (1 << (COMB_TEETH - 1)) + * secp256k1_ge_storages. + * + * The number of point additions equals COMB_BLOCKS * COMB_SPACING. Each point + * addition involves a cmov from (1 << (COMB_TEETH - 1)) table entries and a + * conditional negation. + * + * The number of point doublings is COMB_SPACING - 1. */ + +#if defined(EXHAUSTIVE_TEST_ORDER) +/* We need to control these values for exhaustive tests because + * the table cannot have infinities in them (secp256k1_ge_storage + * doesn't support infinities) */ +# undef COMB_BLOCKS +# undef COMB_TEETH +# if EXHAUSTIVE_TEST_ORDER == 7 +# define COMB_RANGE 3 +# define COMB_BLOCKS 1 +# define COMB_TEETH 2 +# elif EXHAUSTIVE_TEST_ORDER == 13 +# define COMB_RANGE 4 +# define COMB_BLOCKS 1 +# define COMB_TEETH 2 +# elif EXHAUSTIVE_TEST_ORDER == 199 +# define COMB_RANGE 8 +# define COMB_BLOCKS 2 +# define COMB_TEETH 3 +# else +# error "Unknown exhaustive test order" +# endif +# if (COMB_RANGE >= 32) || ((EXHAUSTIVE_TEST_ORDER >> (COMB_RANGE - 1)) != 1) +# error "COMB_RANGE != ceil(log2(EXHAUSTIVE_TEST_ORDER+1))" +# endif +#else /* !defined(EXHAUSTIVE_TEST_ORDER) */ +# define COMB_RANGE 256 +#endif /* defined(EXHAUSTIVE_TEST_ORDER) */ + +/* Use (11, 6) as default configuration, which results in a 22 kB table. */ +#ifndef COMB_BLOCKS +# define COMB_BLOCKS 11 # ifdef DEBUG_CONFIG -# pragma message DEBUG_CONFIG_MSG("ECMULT_GEN_PREC_BITS undefined, assuming default value") +# pragma message DEBUG_CONFIG_MSG("COMB_BLOCKS undefined, assuming default value") # endif #endif +#ifndef COMB_TEETH +# define COMB_TEETH 6 +# ifdef DEBUG_CONFIG +# pragma message DEBUG_CONFIG_MSG("COMB_TEETH undefined, assuming default value") +# endif +#endif +/* Use ceil(COMB_RANGE / (COMB_BLOCKS * COMB_TEETH)) as COMB_SPACING. */ +#define COMB_SPACING CEIL_DIV(COMB_RANGE, COMB_BLOCKS * COMB_TEETH) -#ifdef DEBUG_CONFIG -# pragma message DEBUG_CONFIG_DEF(ECMULT_GEN_PREC_BITS) +/* Range checks on the parameters. */ + +/* The remaining COMB_* parameters are derived values, don't modify these. */ +/* - The number of bits covered by all the blocks; must be at least COMB_RANGE. */ +#define COMB_BITS (COMB_BLOCKS * COMB_TEETH * COMB_SPACING) +/* - The number of entries per table. */ +#define COMB_POINTS (1 << (COMB_TEETH - 1)) + +/* Sanity checks. */ +#if !(1 <= COMB_BLOCKS && COMB_BLOCKS <= 256) +# error "COMB_BLOCKS must be in the range [1, 256]" +#endif +#if !(1 <= COMB_TEETH && COMB_TEETH <= 8) +# error "COMB_TEETH must be in the range [1, 8]" +#endif +#if COMB_BITS < COMB_RANGE +# error "COMB_BLOCKS * COMB_TEETH * COMB_SPACING is too low" #endif -#if ECMULT_GEN_PREC_BITS != 2 && ECMULT_GEN_PREC_BITS != 4 && ECMULT_GEN_PREC_BITS != 8 -# error "Set ECMULT_GEN_PREC_BITS to 2, 4 or 8." +/* These last 2 checks are not strictly required, but prevent gratuitously inefficient + * configurations. Note that they compare with 256 rather than COMB_RANGE, so they do + * permit somewhat excessive values for the exhaustive test case, where testing with + * suboptimal parameters may be desirable. */ +#if (COMB_BLOCKS - 1) * COMB_TEETH * COMB_SPACING >= 256 +# error "COMB_BLOCKS can be reduced" +#endif +#if COMB_BLOCKS * (COMB_TEETH - 1) * COMB_SPACING >= 256 +# error "COMB_TEETH can be reduced" #endif -#define ECMULT_GEN_PREC_G(bits) (1 << bits) -#define ECMULT_GEN_PREC_N(bits) (256 / bits) +#ifdef DEBUG_CONFIG +# pragma message DEBUG_CONFIG_DEF(COMB_RANGE) +# pragma message DEBUG_CONFIG_DEF(COMB_BLOCKS) +# pragma message DEBUG_CONFIG_DEF(COMB_TEETH) +# pragma message DEBUG_CONFIG_DEF(COMB_SPACING) +#endif typedef struct { /* Whether the context has been built. */ int built; - /* Blinding values used when computing (n-b)G + bG. */ - secp256k1_scalar blind; /* -b */ - secp256k1_gej initial; /* bG */ + /* Values chosen such that + * + * n*G == comb(n + scalar_offset, G/2) + ge_offset. + * + * This expression lets us use scalar blinding and optimize the comb precomputation. See + * ecmult_gen_impl.h for more details. */ + secp256k1_scalar scalar_offset; + secp256k1_ge ge_offset; + + /* Factor used for projective blinding. This value is used to rescale the Z + * coordinate of the first table lookup. */ + secp256k1_fe proj_blind; } secp256k1_ecmult_gen_context; static void secp256k1_ecmult_gen_context_build(secp256k1_ecmult_gen_context* ctx); diff --git a/src/ecmult_gen_compute_table.h b/src/ecmult_gen_compute_table.h index e577158d92..bd41803a87 100644 --- a/src/ecmult_gen_compute_table.h +++ b/src/ecmult_gen_compute_table.h @@ -1,5 +1,5 @@ /*********************************************************************** - * Copyright (c) 2013, 2014, 2015 Pieter Wuille, Gregory Maxwell * + * Copyright (c) Pieter Wuille, Gregory Maxwell * * Distributed under the MIT software license, see the accompanying * * file COPYING or https://www.opensource.org/licenses/mit-license.php.* ***********************************************************************/ @@ -9,6 +9,6 @@ #include "ecmult_gen.h" -static void secp256k1_ecmult_gen_compute_table(secp256k1_ge_storage* table, const secp256k1_ge* gen, int bits); +static void secp256k1_ecmult_gen_compute_table(secp256k1_ge_storage* table, const secp256k1_ge* gen, int blocks, int teeth, int spacing); #endif /* SECP256K1_ECMULT_GEN_COMPUTE_TABLE_H */ diff --git a/src/ecmult_gen_compute_table_impl.h b/src/ecmult_gen_compute_table_impl.h index ff6a2992dc..6aa8d84082 100644 --- a/src/ecmult_gen_compute_table_impl.h +++ b/src/ecmult_gen_compute_table_impl.h @@ -1,5 +1,5 @@ /*********************************************************************** - * Copyright (c) 2013, 2014, 2015 Pieter Wuille, Gregory Maxwell * + * Copyright (c) Pieter Wuille, Gregory Maxwell, Peter Dettman * * Distributed under the MIT software license, see the accompanying * * file COPYING or https://www.opensource.org/licenses/mit-license.php.* ***********************************************************************/ @@ -10,71 +10,98 @@ #include "ecmult_gen_compute_table.h" #include "group_impl.h" #include "field_impl.h" +#include "scalar_impl.h" #include "ecmult_gen.h" #include "util.h" -static void secp256k1_ecmult_gen_compute_table(secp256k1_ge_storage* table, const secp256k1_ge* gen, int bits) { - int g = ECMULT_GEN_PREC_G(bits); - int n = ECMULT_GEN_PREC_N(bits); +static void secp256k1_ecmult_gen_compute_table(secp256k1_ge_storage* table, const secp256k1_ge* gen, int blocks, int teeth, int spacing) { + size_t points = ((size_t)1) << (teeth - 1); + size_t points_total = points * blocks; + secp256k1_ge* prec = checked_malloc(&default_error_callback, points_total * sizeof(*prec)); + secp256k1_gej* ds = checked_malloc(&default_error_callback, teeth * sizeof(*ds)); + secp256k1_gej* vs = checked_malloc(&default_error_callback, points_total * sizeof(*vs)); + secp256k1_gej u; + size_t vs_pos = 0; + secp256k1_scalar half; + int block, i; - secp256k1_ge* prec = checked_malloc(&default_error_callback, n * g * sizeof(*prec)); - secp256k1_gej gj; - secp256k1_gej nums_gej; - int i, j; + VERIFY_CHECK(points_total > 0); - /* get the generator */ - secp256k1_gej_set_ge(&gj, gen); - - /* Construct a group element with no known corresponding scalar (nothing up my sleeve). */ + /* u is the running power of two times gen we're working with, initially gen/2. */ + secp256k1_scalar_half(&half, &secp256k1_scalar_one); + secp256k1_gej_set_infinity(&u); + for (i = 255; i >= 0; --i) { + /* Use a very simple multiplication ladder to avoid dependency on ecmult. */ + secp256k1_gej_double_var(&u, &u, NULL); + if (secp256k1_scalar_get_bits_limb32(&half, i, 1)) { + secp256k1_gej_add_ge_var(&u, &u, gen, NULL); + } + } +#ifdef VERIFY { - static const unsigned char nums_b32[33] = "The scalar for this x is unknown"; - secp256k1_fe nums_x; - secp256k1_ge nums_ge; - int r; - r = secp256k1_fe_set_b32(&nums_x, nums_b32); - (void)r; - VERIFY_CHECK(r); - r = secp256k1_ge_set_xo_var(&nums_ge, &nums_x, 0); - (void)r; - VERIFY_CHECK(r); - secp256k1_gej_set_ge(&nums_gej, &nums_ge); - /* Add G to make the bits in x uniformly distributed. */ - secp256k1_gej_add_ge_var(&nums_gej, &nums_gej, gen, NULL); + /* Verify that u*2 = gen. */ + secp256k1_gej double_u; + secp256k1_gej_double_var(&double_u, &u, NULL); + VERIFY_CHECK(secp256k1_gej_eq_ge_var(&double_u, gen)); } +#endif - /* compute prec. */ - { - secp256k1_gej gbase; - secp256k1_gej numsbase; - secp256k1_gej* precj = checked_malloc(&default_error_callback, n * g * sizeof(*precj)); /* Jacobian versions of prec. */ - gbase = gj; /* PREC_G^j * G */ - numsbase = nums_gej; /* 2^j * nums. */ - for (j = 0; j < n; j++) { - /* Set precj[j*PREC_G .. j*PREC_G+(PREC_G-1)] to (numsbase, numsbase + gbase, ..., numsbase + (PREC_G-1)*gbase). */ - precj[j*g] = numsbase; - for (i = 1; i < g; i++) { - secp256k1_gej_add_var(&precj[j*g + i], &precj[j*g + i - 1], &gbase, NULL); - } - /* Multiply gbase by PREC_G. */ - for (i = 0; i < bits; i++) { - secp256k1_gej_double_var(&gbase, &gbase, NULL); + for (block = 0; block < blocks; ++block) { + int tooth; + /* Here u = 2^(block*teeth*spacing) * gen/2. */ + secp256k1_gej sum; + secp256k1_gej_set_infinity(&sum); + for (tooth = 0; tooth < teeth; ++tooth) { + /* Here u = 2^((block*teeth + tooth)*spacing) * gen/2. */ + /* Make sum = sum(2^((block*teeth + t)*spacing), t=0..tooth) * gen/2. */ + secp256k1_gej_add_var(&sum, &sum, &u, NULL); + /* Make u = 2^((block*teeth + tooth)*spacing + 1) * gen/2. */ + secp256k1_gej_double_var(&u, &u, NULL); + /* Make ds[tooth] = u = 2^((block*teeth + tooth)*spacing + 1) * gen/2. */ + ds[tooth] = u; + /* Make u = 2^((block*teeth + tooth + 1)*spacing) * gen/2, unless at the end. */ + if (block + tooth != blocks + teeth - 2) { + int bit_off; + for (bit_off = 1; bit_off < spacing; ++bit_off) { + secp256k1_gej_double_var(&u, &u, NULL); + } } - /* Multiply numbase by 2. */ - secp256k1_gej_double_var(&numsbase, &numsbase, NULL); - if (j == n - 2) { - /* In the last iteration, numsbase is (1 - 2^j) * nums instead. */ - secp256k1_gej_neg(&numsbase, &numsbase); - secp256k1_gej_add_var(&numsbase, &numsbase, &nums_gej, NULL); + } + /* Now u = 2^((block*teeth + teeth)*spacing) * gen/2 + * = 2^((block+1)*teeth*spacing) * gen/2 */ + + /* Next, compute the table entries for block number block in Jacobian coordinates. + * The entries will occupy vs[block*points + i] for i=0..points-1. + * We start by computing the first (i=0) value corresponding to all summed + * powers of two times G being negative. */ + secp256k1_gej_neg(&vs[vs_pos++], &sum); + /* And then teeth-1 times "double" the range of i values for which the table + * is computed: in each iteration, double the table by taking an existing + * table entry and adding ds[tooth]. */ + for (tooth = 0; tooth < teeth - 1; ++tooth) { + size_t stride = ((size_t)1) << tooth; + size_t index; + for (index = 0; index < stride; ++index, ++vs_pos) { + secp256k1_gej_add_var(&vs[vs_pos], &vs[vs_pos - stride], &ds[tooth], NULL); } } - secp256k1_ge_set_all_gej_var(prec, precj, n * g); - free(precj); } - for (j = 0; j < n; j++) { - for (i = 0; i < g; i++) { - secp256k1_ge_to_storage(&table[j*g + i], &prec[j*g + i]); + VERIFY_CHECK(vs_pos == points_total); + + /* Convert all points simultaneously from secp256k1_gej to secp256k1_ge. */ + secp256k1_ge_set_all_gej_var(prec, vs, points_total); + /* Convert all points from secp256k1_ge to secp256k1_ge_storage output. */ + for (block = 0; block < blocks; ++block) { + size_t index; + for (index = 0; index < points; ++index) { + VERIFY_CHECK(!secp256k1_ge_is_infinity(&prec[block * points + index])); + secp256k1_ge_to_storage(&table[block * points + index], &prec[block * points + index]); } } + + /* Free memory. */ + free(vs); + free(ds); free(prec); } diff --git a/src/ecmult_gen_impl.h b/src/ecmult_gen_impl.h index 4f5ea9f3c0..2159eed5e1 100644 --- a/src/ecmult_gen_impl.h +++ b/src/ecmult_gen_impl.h @@ -1,5 +1,5 @@ /*********************************************************************** - * Copyright (c) 2013, 2014, 2015 Pieter Wuille, Gregory Maxwell * + * Copyright (c) Pieter Wuille, Gregory Maxwell, Peter Dettman * * Distributed under the MIT software license, see the accompanying * * file COPYING or https://www.opensource.org/licenses/mit-license.php.* ***********************************************************************/ @@ -25,41 +25,215 @@ static int secp256k1_ecmult_gen_context_is_built(const secp256k1_ecmult_gen_cont static void secp256k1_ecmult_gen_context_clear(secp256k1_ecmult_gen_context *ctx) { ctx->built = 0; - secp256k1_scalar_clear(&ctx->blind); - secp256k1_gej_clear(&ctx->initial); + secp256k1_scalar_clear(&ctx->scalar_offset); + secp256k1_ge_clear(&ctx->ge_offset); + secp256k1_fe_clear(&ctx->proj_blind); } -/* For accelerating the computation of a*G: - * To harden against timing attacks, use the following mechanism: - * * Break up the multiplicand into groups of PREC_BITS bits, called n_0, n_1, n_2, ..., n_(PREC_N-1). - * * Compute sum(n_i * (PREC_G)^i * G + U_i, i=0 ... PREC_N-1), where: - * * U_i = U * 2^i, for i=0 ... PREC_N-2 - * * U_i = U * (1-2^(PREC_N-1)), for i=PREC_N-1 - * where U is a point with no known corresponding scalar. Note that sum(U_i, i=0 ... PREC_N-1) = 0. - * For each i, and each of the PREC_G possible values of n_i, (n_i * (PREC_G)^i * G + U_i) is - * precomputed (call it prec(i, n_i)). The formula now becomes sum(prec(i, n_i), i=0 ... PREC_N-1). - * None of the resulting prec group elements have a known scalar, and neither do any of - * the intermediate sums while computing a*G. - * The prec values are stored in secp256k1_ecmult_gen_prec_table[i][n_i] = n_i * (PREC_G)^i * G + U_i. - */ -static void secp256k1_ecmult_gen(const secp256k1_ecmult_gen_context *ctx, secp256k1_gej *r, const secp256k1_scalar *gn) { - int bits = ECMULT_GEN_PREC_BITS; - int g = ECMULT_GEN_PREC_G(bits); - int n = ECMULT_GEN_PREC_N(bits); +/* Compute the scalar (2^COMB_BITS - 1) / 2, the difference between the gn argument to + * secp256k1_ecmult_gen, and the scalar whose encoding the table lookup bits are drawn + * from (before applying blinding). */ +static void secp256k1_ecmult_gen_scalar_diff(secp256k1_scalar* diff) { + int i; + + /* Compute scalar -1/2. */ + secp256k1_scalar neghalf; + secp256k1_scalar_half(&neghalf, &secp256k1_scalar_one); + secp256k1_scalar_negate(&neghalf, &neghalf); + + /* Compute offset = 2^(COMB_BITS - 1). */ + *diff = secp256k1_scalar_one; + for (i = 0; i < COMB_BITS - 1; ++i) { + secp256k1_scalar_add(diff, diff, diff); + } + /* The result is the sum 2^(COMB_BITS - 1) + (-1/2). */ + secp256k1_scalar_add(diff, diff, &neghalf); +} + +static void secp256k1_ecmult_gen(const secp256k1_ecmult_gen_context *ctx, secp256k1_gej *r, const secp256k1_scalar *gn) { + uint32_t comb_off; secp256k1_ge add; + secp256k1_fe neg; secp256k1_ge_storage adds; - secp256k1_scalar gnb; - int i, j, n_i; - + secp256k1_scalar d; + /* Array of uint32_t values large enough to store COMB_BITS bits. Only the bottom + * 8 are ever nonzero, but having the zero padding at the end if COMB_BITS>256 + * avoids the need to deal with out-of-bounds reads from a scalar. */ + uint32_t recoded[(COMB_BITS + 31) >> 5] = {0}; + int first = 1, i; + memset(&adds, 0, sizeof(adds)); - *r = ctx->initial; - /* Blind scalar/point multiplication by computing (n-b)G + bG instead of nG. */ - secp256k1_scalar_add(&gnb, gn, &ctx->blind); - add.infinity = 0; - for (i = 0; i < n; i++) { - n_i = secp256k1_scalar_get_bits(&gnb, i * bits, bits); - for (j = 0; j < g; j++) { + + /* We want to compute R = gn*G. + * + * To blind the scalar used in the computation, we rewrite this to be + * R = (gn - b)*G + b*G, with a blinding value b determined by the context. + * + * The multiplication (gn-b)*G will be performed using a signed-digit multi-comb (see Section + * 3.3 of "Fast and compact elliptic-curve cryptography" by Mike Hamburg, + * https://eprint.iacr.org/2012/309). + * + * Let comb(s, P) = sum((2*s[i]-1)*2^i*P for i=0..COMB_BITS-1), where s[i] is the i'th bit of + * the binary representation of scalar s. So the s[i] values determine whether -2^i*P (s[i]=0) + * or +2^i*P (s[i]=1) are added together. COMB_BITS is at least 256, so all bits of s are + * covered. By manipulating: + * + * comb(s, P) = sum((2*s[i]-1)*2^i*P for i=0..COMB_BITS-1) + * <=> comb(s, P) = sum((2*s[i]-1)*2^i for i=0..COMB_BITS-1) * P + * <=> comb(s, P) = (2*sum(s[i]*2^i for i=0..COMB_BITS-1) - sum(2^i for i=0..COMB_BITS-1)) * P + * <=> comb(s, P) = (2*s - (2^COMB_BITS - 1)) * P + * + * If we wanted to compute (gn-b)*G as comb(s, G), it would need to hold that + * + * (gn - b) * G = (2*s - (2^COMB_BITS - 1)) * G + * <=> s = (gn - b + (2^COMB_BITS - 1))/2 (mod order) + * + * We use an alternative here that avoids the modular division by two: instead we compute + * (gn-b)*G as comb(d, G/2). For that to hold it must be the case that + * + * (gn - b) * G = (2*d - (2^COMB_BITS - 1)) * (G/2) + * <=> d = gn - b + (2^COMB_BITS - 1)/2 (mod order) + * + * Adding precomputation, our final equations become: + * + * ctx->scalar_offset = (2^COMB_BITS - 1)/2 - b (mod order) + * ctx->ge_offset = b*G + * d = gn + ctx->scalar_offset (mod order) + * R = comb(d, G/2) + ctx->ge_offset + * + * comb(d, G/2) function is then computed by summing + or - 2^(i-1)*G, for i=0..COMB_BITS-1, + * depending on the value of the bits d[i] of the binary representation of scalar d. + */ + + /* Compute the scalar d = (gn + ctx->scalar_offset). */ + secp256k1_scalar_add(&d, &ctx->scalar_offset, gn); + /* Convert to recoded array. */ + for (i = 0; i < 8 && i < ((COMB_BITS + 31) >> 5); ++i) { + recoded[i] = secp256k1_scalar_get_bits_limb32(&d, 32 * i, 32); + } + secp256k1_scalar_clear(&d); + + /* In secp256k1_ecmult_gen_prec_table we have precomputed sums of the + * (2*d[i]-1) * 2^(i-1) * G points, for various combinations of i positions. + * We rewrite our equation in terms of these table entries. + * + * Let mask(b) = sum(2^((b*COMB_TEETH + t)*COMB_SPACING) for t=0..COMB_TEETH-1), + * with b ranging from 0 to COMB_BLOCKS-1. So for example with COMB_BLOCKS=11, + * COMB_TEETH=6, COMB_SPACING=4, we would have: + * mask(0) = 2^0 + 2^4 + 2^8 + 2^12 + 2^16 + 2^20, + * mask(1) = 2^24 + 2^28 + 2^32 + 2^36 + 2^40 + 2^44, + * mask(2) = 2^48 + 2^52 + 2^56 + 2^60 + 2^64 + 2^68, + * ... + * mask(10) = 2^240 + 2^244 + 2^248 + 2^252 + 2^256 + 2^260 + * + * We will split up the bits d[i] using these masks. Specifically, each mask is + * used COMB_SPACING times, with different shifts: + * + * d = (d & mask(0)<<0) + (d & mask(1)<<0) + ... + (d & mask(COMB_BLOCKS-1)<<0) + + * (d & mask(0)<<1) + (d & mask(1)<<1) + ... + (d & mask(COMB_BLOCKS-1)<<1) + + * ... + * (d & mask(0)<<(COMB_SPACING-1)) + ... + * + * Now define table(b, m) = (m - mask(b)/2) * G, and we will precompute these values for + * b=0..COMB_BLOCKS-1, and for all values m which (d & mask(b)) can take (so m can take on + * 2^COMB_TEETH distinct values). + * + * If m=(d & mask(b)), then table(b, m) is the sum of 2^i * (2*d[i]-1) * G/2, with i + * iterating over the set bits in mask(b). In our example, table(2, 2^48 + 2^56 + 2^68) + * would equal (2^48 - 2^52 + 2^56 - 2^60 - 2^64 + 2^68) * G/2. + * + * With that, we can rewrite comb(d, G/2) as: + * + * 2^0 * (table(0, d>>0 & mask(0)) + ... + table(COMB_BLOCKS-1, d>>0 & mask(COMP_BLOCKS-1))) + * + 2^1 * (table(0, d>>1 & mask(0)) + ... + table(COMB_BLOCKS-1, d>>1 & mask(COMP_BLOCKS-1))) + * + 2^2 * (table(0, d>>2 & mask(0)) + ... + table(COMB_BLOCKS-1, d>>2 & mask(COMP_BLOCKS-1))) + * + ... + * + 2^(COMB_SPACING-1) * (table(0, d>>(COMB_SPACING-1) & mask(0)) + ...) + * + * Or more generically as + * + * sum(2^i * sum(table(b, d>>i & mask(b)), b=0..COMB_BLOCKS-1), i=0..COMB_SPACING-1) + * + * This is implemented using an outer loop that runs in reverse order over the lines of this + * equation, which in each iteration runs an inner loop that adds the terms of that line and + * then doubles the result before proceeding to the next line. + * + * In pseudocode: + * c = infinity + * for comb_off in range(COMB_SPACING - 1, -1, -1): + * for block in range(COMB_BLOCKS): + * c += table(block, (d >> comb_off) & mask(block)) + * if comb_off > 0: + * c = 2*c + * return c + * + * This computes c = comb(d, G/2), and thus finally R = c + ctx->ge_offset. Note that it would + * be possible to apply an initial offset instead of a final offset (moving ge_offset to take + * the place of infinity above), but the chosen approach allows using (in a future improvement) + * an incomplete addition formula for most of the multiplication. + * + * The last question is how to implement the table(b, m) function. For any value of b, + * m=(d & mask(b)) can only take on at most 2^COMB_TEETH possible values (the last one may have + * fewer as there mask(b) may exceed the curve order). So we could create COMB_BLOCK tables + * which contain a value for each such m value. + * + * Now note that if m=(d & mask(b)), then flipping the relevant bits of m results in negating + * the result of table(b, m). This is because table(b,m XOR mask(b)) = table(b, mask(b) - m) = + * (mask(b) - m - mask(b)/2)*G = (-m + mask(b)/2)*G = -(m - mask(b)/2)*G = -table(b, m). + * Because of this it suffices to only store the first half of the m values for every b. If an + * entry from the second half is needed, we look up its bit-flipped version instead, and negate + * it. + * + * secp256k1_ecmult_gen_prec_table[b][index] stores the table(b, m) entries. Index + * is the relevant mask(b) bits of m packed together without gaps. */ + + /* Outer loop: iterate over comb_off from COMB_SPACING - 1 down to 0. */ + comb_off = COMB_SPACING - 1; + while (1) { + uint32_t block; + uint32_t bit_pos = comb_off; + /* Inner loop: for each block, add table entries to the result. */ + for (block = 0; block < COMB_BLOCKS; ++block) { + /* Gather the mask(block)-selected bits of d into bits. They're packed: + * bits[tooth] = d[(block*COMB_TEETH + tooth)*COMB_SPACING + comb_off]. */ + uint32_t bits = 0, sign, abs, index, tooth; + /* Instead of reading individual bits here to construct the bits variable, + * build up the result by xoring rotated reads together. In every iteration, + * one additional bit is made correct, starting at the bottom. The bits + * above that contain junk. This reduces leakage by avoiding computations + * on variables that can have only a low number of possible values (e.g., + * just two values when reading a single bit into a variable.) See: + * https://www.usenix.org/system/files/conference/usenixsecurity18/sec18-alam.pdf + */ + for (tooth = 0; tooth < COMB_TEETH; ++tooth) { + /* Construct bitdata s.t. the bottom bit is the bit we'd like to read. + * + * We could just set bitdata = recoded[bit_pos >> 5] >> (bit_pos & 0x1f) + * but this would simply discard the bits that fall off at the bottom, + * and thus, for example, bitdata could still have only two values if we + * happen to shift by exactly 31 positions. We use a rotation instead, + * which ensures that bitdata doesn't lose entropy. This relies on the + * rotation being atomic, i.e., the compiler emitting an actual rot + * instruction. */ + uint32_t bitdata = secp256k1_rotr32(recoded[bit_pos >> 5], bit_pos & 0x1f); + + /* Clear the bit at position tooth, but sssh, don't tell clang. */ + uint32_t volatile vmask = ~(1 << tooth); + bits &= vmask; + + /* Write the bit into position tooth (and junk into higher bits). */ + bits ^= bitdata << tooth; + bit_pos += COMB_SPACING; + } + + /* If the top bit of bits is 1, flip them all (corresponding to looking up + * the negated table value), and remember to negate the result in sign. */ + sign = (bits >> (COMB_TEETH - 1)) & 1; + abs = (bits ^ -sign) & (COMB_POINTS - 1); + VERIFY_CHECK(sign == 0 || sign == 1); + VERIFY_CHECK(abs < COMB_POINTS); + /** This uses a conditional move to avoid any secret data in array indexes. * _Any_ use of secret indexes has been demonstrated to result in timing * sidechannels, even when the cache-line access patterns are uniform. @@ -68,36 +242,67 @@ static void secp256k1_ecmult_gen(const secp256k1_ecmult_gen_context *ctx, secp25 * (https://cryptojedi.org/peter/data/chesrump-20130822.pdf) and * "Cache Attacks and Countermeasures: the Case of AES", RSA 2006, * by Dag Arne Osvik, Adi Shamir, and Eran Tromer - * (https://www.tau.ac.il/~tromer/papers/cache.pdf) + * (https://eprint.iacr.org/2005/271.pdf) */ - secp256k1_ge_storage_cmov(&adds, &secp256k1_ecmult_gen_prec_table[i][j], j == n_i); + for (index = 0; index < COMB_POINTS; ++index) { + secp256k1_ge_storage_cmov(&adds, &secp256k1_ecmult_gen_prec_table[block][index], index == abs); + } + + /* Set add=adds or add=-adds, in constant time, based on sign. */ + secp256k1_ge_from_storage(&add, &adds); + secp256k1_fe_negate(&neg, &add.y, 1); + secp256k1_fe_cmov(&add.y, &neg, sign); + + /* Add the looked up and conditionally negated value to r. */ + if (EXPECT(first, 0)) { + /* If this is the first table lookup, we can skip addition. */ + secp256k1_gej_set_ge(r, &add); + /* Give the entry a random Z coordinate to blind intermediary results. */ + secp256k1_gej_rescale(r, &ctx->proj_blind); + first = 0; + } else { + secp256k1_gej_add_ge(r, r, &add); + } } - secp256k1_ge_from_storage(&add, &adds); - secp256k1_gej_add_ge(r, r, &add); + + /* Double the result, except in the last iteration. */ + if (comb_off-- == 0) break; + secp256k1_gej_double(r, r); } - n_i = 0; + + /* Correct for the scalar_offset added at the start (ge_offset = b*G, while b was + * subtracted from the input scalar gn). */ + secp256k1_gej_add_ge(r, r, &ctx->ge_offset); + + /* Cleanup. */ + secp256k1_fe_clear(&neg); secp256k1_ge_clear(&add); - secp256k1_scalar_clear(&gnb); + secp256k1_memclear_explicit(&adds, sizeof(adds)); + secp256k1_memclear_explicit(&recoded, sizeof(recoded)); } /* Setup blinding values for secp256k1_ecmult_gen. */ static void secp256k1_ecmult_gen_blind(secp256k1_ecmult_gen_context *ctx, const unsigned char *seed32) { secp256k1_scalar b; + secp256k1_scalar diff; secp256k1_gej gb; - secp256k1_fe s; + secp256k1_fe f; unsigned char nonce32[32]; secp256k1_rfc6979_hmac_sha256 rng; - int overflow; unsigned char keydata[64]; + + /* Compute the (2^COMB_BITS - 1)/2 term once. */ + secp256k1_ecmult_gen_scalar_diff(&diff); + if (seed32 == NULL) { - /* When seed is NULL, reset the initial point and blinding value. */ - secp256k1_gej_set_ge(&ctx->initial, &secp256k1_ge_const_g); - secp256k1_gej_neg(&ctx->initial, &ctx->initial); - secp256k1_scalar_set_int(&ctx->blind, 1); + /* When seed is NULL, reset the final point and blinding value. */ + secp256k1_ge_neg(&ctx->ge_offset, &secp256k1_ge_const_g); + secp256k1_scalar_add(&ctx->scalar_offset, &secp256k1_scalar_one, &diff); + ctx->proj_blind = secp256k1_fe_one; return; } /* The prior blinding value (if not reset) is chained forward by including it in the hash. */ - secp256k1_scalar_get_b32(keydata, &ctx->blind); + secp256k1_scalar_get_b32(keydata, &ctx->scalar_offset); /** Using a CSPRNG allows a failure free interface, avoids needing large amounts of random data, * and guards against weak or adversarial seeds. This is a simpler and safer interface than * asking the caller for blinding values directly and expecting them to retry on failure. @@ -105,29 +310,32 @@ static void secp256k1_ecmult_gen_blind(secp256k1_ecmult_gen_context *ctx, const VERIFY_CHECK(seed32 != NULL); memcpy(keydata + 32, seed32, 32); secp256k1_rfc6979_hmac_sha256_initialize(&rng, keydata, 64); - memset(keydata, 0, sizeof(keydata)); - /* Accept unobservably small non-uniformity. */ + secp256k1_memclear_explicit(keydata, sizeof(keydata)); + + /* Compute projective blinding factor (cannot be 0). */ secp256k1_rfc6979_hmac_sha256_generate(&rng, nonce32, 32); - overflow = !secp256k1_fe_set_b32(&s, nonce32); - overflow |= secp256k1_fe_is_zero(&s); - secp256k1_fe_cmov(&s, &secp256k1_fe_one, overflow); - /* Randomize the projection to defend against multiplier sidechannels. - Do this before our own call to secp256k1_ecmult_gen below. */ - secp256k1_gej_rescale(&ctx->initial, &s); - secp256k1_fe_clear(&s); + secp256k1_fe_set_b32_mod(&f, nonce32); + secp256k1_fe_cmov(&f, &secp256k1_fe_one, secp256k1_fe_normalizes_to_zero(&f)); + ctx->proj_blind = f; + + /* For a random blinding value b, set scalar_offset=diff-b, ge_offset=bG */ secp256k1_rfc6979_hmac_sha256_generate(&rng, nonce32, 32); secp256k1_scalar_set_b32(&b, nonce32, NULL); - /* A blinding value of 0 works, but would undermine the projection hardening. */ + /* The blinding value cannot be zero, as that would mean ge_offset = infinity, + * which secp256k1_gej_add_ge cannot handle. */ secp256k1_scalar_cmov(&b, &secp256k1_scalar_one, secp256k1_scalar_is_zero(&b)); secp256k1_rfc6979_hmac_sha256_finalize(&rng); - memset(nonce32, 0, 32); - /* The random projection in ctx->initial ensures that gb will have a random projection. */ secp256k1_ecmult_gen(ctx, &gb, &b); secp256k1_scalar_negate(&b, &b); - ctx->blind = b; - ctx->initial = gb; + secp256k1_scalar_add(&ctx->scalar_offset, &b, &diff); + secp256k1_ge_set_gej(&ctx->ge_offset, &gb); + + /* Clean up. */ + secp256k1_memclear_explicit(nonce32, sizeof(nonce32)); secp256k1_scalar_clear(&b); secp256k1_gej_clear(&gb); + secp256k1_fe_clear(&f); + secp256k1_rfc6979_hmac_sha256_clear(&rng); } #endif /* SECP256K1_ECMULT_GEN_IMPL_H */ diff --git a/src/ecmult_impl.h b/src/ecmult_impl.h index 3776fe73fc..29f02f547f 100644 --- a/src/ecmult_impl.h +++ b/src/ecmult_impl.h @@ -42,7 +42,7 @@ #endif #define WNAF_BITS 128 -#define WNAF_SIZE_BITS(bits, w) (((bits) + (w) - 1) / (w)) +#define WNAF_SIZE_BITS(bits, w) CEIL_DIV(bits, w) #define WNAF_SIZE(w) WNAF_SIZE_BITS(WNAF_BITS, w) /* The number of objects allocated on the scratch space for ecmult_multi algorithms */ @@ -97,7 +97,7 @@ static void secp256k1_ecmult_odd_multiples_table(int n, secp256k1_ge *pre_a, sec secp256k1_gej_set_ge(&ai, &pre_a[0]); ai.z = a->z; - /* pre_a[0] is the point (a.x*C^2, a.y*C^3, a.z*C) which is equvalent to a. + /* pre_a[0] is the point (a.x*C^2, a.y*C^3, a.z*C) which is equivalent to a. * Set zr[0] to C, which is the ratio between the omitted z(pre_a[0]) value and a.z. */ zr[0] = d.z; @@ -114,13 +114,16 @@ static void secp256k1_ecmult_odd_multiples_table(int n, secp256k1_ge *pre_a, sec secp256k1_fe_mul(z, &ai.z, &d.z); } -#define SECP256K1_ECMULT_TABLE_VERIFY(n,w) \ - VERIFY_CHECK(((n) & 1) == 1); \ - VERIFY_CHECK((n) >= -((1 << ((w)-1)) - 1)); \ +SECP256K1_INLINE static void secp256k1_ecmult_table_verify(int n, int w) { + (void)n; + (void)w; + VERIFY_CHECK(((n) & 1) == 1); + VERIFY_CHECK((n) >= -((1 << ((w)-1)) - 1)); VERIFY_CHECK((n) <= ((1 << ((w)-1)) - 1)); +} SECP256K1_INLINE static void secp256k1_ecmult_table_get_ge(secp256k1_ge *r, const secp256k1_ge *pre, int n, int w) { - SECP256K1_ECMULT_TABLE_VERIFY(n,w) + secp256k1_ecmult_table_verify(n,w); if (n > 0) { *r = pre[(n-1)/2]; } else { @@ -130,7 +133,7 @@ SECP256K1_INLINE static void secp256k1_ecmult_table_get_ge(secp256k1_ge *r, cons } SECP256K1_INLINE static void secp256k1_ecmult_table_get_ge_lambda(secp256k1_ge *r, const secp256k1_ge *pre, const secp256k1_fe *x, int n, int w) { - SECP256K1_ECMULT_TABLE_VERIFY(n,w) + secp256k1_ecmult_table_verify(n,w); if (n > 0) { secp256k1_ge_set_xy(r, &x[(n-1)/2], &pre[(n-1)/2].y); } else { @@ -140,7 +143,7 @@ SECP256K1_INLINE static void secp256k1_ecmult_table_get_ge_lambda(secp256k1_ge * } SECP256K1_INLINE static void secp256k1_ecmult_table_get_ge_storage(secp256k1_ge *r, const secp256k1_ge_storage *pre, int n, int w) { - SECP256K1_ECMULT_TABLE_VERIFY(n,w) + secp256k1_ecmult_table_verify(n,w); if (n > 0) { secp256k1_ge_from_storage(r, &pre[(n-1)/2]); } else { @@ -168,18 +171,21 @@ static int secp256k1_ecmult_wnaf(int *wnaf, int len, const secp256k1_scalar *a, VERIFY_CHECK(a != NULL); VERIFY_CHECK(2 <= w && w <= 31); - memset(wnaf, 0, len * sizeof(wnaf[0])); + for (bit = 0; bit < len; bit++) { + wnaf[bit] = 0; + } s = *a; - if (secp256k1_scalar_get_bits(&s, 255, 1)) { + if (secp256k1_scalar_get_bits_limb32(&s, 255, 1)) { secp256k1_scalar_negate(&s, &s); sign = -1; } + bit = 0; while (bit < len) { int now; int word; - if (secp256k1_scalar_get_bits(&s, bit, 1) == (unsigned int)carry) { + if (secp256k1_scalar_get_bits_limb32(&s, bit, 1) == (unsigned int)carry) { bit++; continue; } @@ -206,7 +212,7 @@ static int secp256k1_ecmult_wnaf(int *wnaf, int len, const secp256k1_scalar *a, VERIFY_CHECK(carry == 0); while (verify_bit < 256) { - VERIFY_CHECK(secp256k1_scalar_get_bits(&s, verify_bit, 1) == 0); + VERIFY_CHECK(secp256k1_scalar_get_bits_limb32(&s, verify_bit, 1) == 0); verify_bit++; } } @@ -214,9 +220,24 @@ static int secp256k1_ecmult_wnaf(int *wnaf, int len, const secp256k1_scalar *a, return last_set_bit + 1; } +/* Same as secp256k1_ecmult_wnaf, but stores to int8_t array. Requires w <= 8. */ +static int secp256k1_ecmult_wnaf_small(int8_t *wnaf, int len, const secp256k1_scalar *a, int w) { + int wnaf_tmp[256]; + int ret, i; + + VERIFY_CHECK(2 <= w && w <= 8); + ret = secp256k1_ecmult_wnaf(wnaf_tmp, len, a, w); + + for (i = 0; i < len; i++) { + wnaf[i] = (int8_t)wnaf_tmp[i]; + } + + return ret; +} + struct secp256k1_strauss_point_state { - int wnaf_na_1[129]; - int wnaf_na_lam[129]; + int8_t wnaf_na_1[129]; + int8_t wnaf_na_lam[129]; int bits_na_1; int bits_na_lam; }; @@ -253,8 +274,8 @@ static void secp256k1_ecmult_strauss_wnaf(const struct secp256k1_strauss_state * secp256k1_scalar_split_lambda(&na_1, &na_lam, &na[np]); /* build wnaf representation for na_1 and na_lam. */ - state->ps[no].bits_na_1 = secp256k1_ecmult_wnaf(state->ps[no].wnaf_na_1, 129, &na_1, WINDOW_A); - state->ps[no].bits_na_lam = secp256k1_ecmult_wnaf(state->ps[no].wnaf_na_lam, 129, &na_lam, WINDOW_A); + state->ps[no].bits_na_1 = secp256k1_ecmult_wnaf_small(state->ps[no].wnaf_na_1, 129, &na_1, WINDOW_A); + state->ps[no].bits_na_lam = secp256k1_ecmult_wnaf_small(state->ps[no].wnaf_na_lam, 129, &na_lam, WINDOW_A); VERIFY_CHECK(state->ps[no].bits_na_1 <= 129); VERIFY_CHECK(state->ps[no].bits_na_lam <= 129); if (state->ps[no].bits_na_1 > bits) { @@ -276,9 +297,6 @@ static void secp256k1_ecmult_strauss_wnaf(const struct secp256k1_strauss_state * */ tmp = a[np]; if (no) { -#ifdef VERIFY - secp256k1_fe_normalize_var(&Z); -#endif secp256k1_gej_rescale(&tmp, &Z); } secp256k1_ecmult_odd_multiples_table(ECMULT_TABLE_SIZE(WINDOW_A), state->pre_a + no * ECMULT_TABLE_SIZE(WINDOW_A), state->aux + no * ECMULT_TABLE_SIZE(WINDOW_A), &Z, &tmp); @@ -288,7 +306,9 @@ static void secp256k1_ecmult_strauss_wnaf(const struct secp256k1_strauss_state * } /* Bring them to the same Z denominator. */ - secp256k1_ge_table_set_globalz(ECMULT_TABLE_SIZE(WINDOW_A) * no, state->pre_a, state->aux); + if (no) { + secp256k1_ge_table_set_globalz(ECMULT_TABLE_SIZE(WINDOW_A) * no, state->pre_a, state->aux); + } for (np = 0; np < no; ++np) { for (i = 0; i < ECMULT_TABLE_SIZE(WINDOW_A); i++) { @@ -658,7 +678,6 @@ static int secp256k1_ecmult_pippenger_batch(const secp256k1_callback* error_call struct secp256k1_pippenger_state *state_space; size_t idx = 0; size_t point_idx = 0; - int i, j; int bucket_window; secp256k1_gej_set_infinity(r); @@ -680,7 +699,7 @@ static int secp256k1_ecmult_pippenger_batch(const secp256k1_callback* error_call } state_space->ps = (struct secp256k1_pippenger_point_state *) secp256k1_scratch_alloc(error_callback, scratch, entries * sizeof(*state_space->ps)); state_space->wnaf_na = (int *) secp256k1_scratch_alloc(error_callback, scratch, entries*(WNAF_SIZE(bucket_window+1)) * sizeof(int)); - buckets = (secp256k1_gej *) secp256k1_scratch_alloc(error_callback, scratch, (1<ps == NULL || state_space->wnaf_na == NULL || buckets == NULL) { secp256k1_scratch_apply_checkpoint(error_callback, scratch, scratch_checkpoint); return 0; @@ -706,18 +725,6 @@ static int secp256k1_ecmult_pippenger_batch(const secp256k1_callback* error_call } secp256k1_ecmult_pippenger_wnaf(buckets, bucket_window, state_space, r, scalars, points, idx); - - /* Clear data */ - for(i = 0; (size_t)i < idx; i++) { - secp256k1_scalar_clear(&scalars[i]); - state_space->ps[i].skew_na = 0; - for(j = 0; j < WNAF_SIZE(bucket_window+1); j++) { - state_space->wnaf_na[i * WNAF_SIZE(bucket_window+1) + j] = 0; - } - } - for(i = 0; i < 1<= 0xfffffc2f))))) +#else +#define SECP256K1_FE_VERIFY_CONST(d7, d6, d5, d4, d3, d2, d1, d0) +#endif + +/** This expands to an initializer for a secp256k1_fe valued sum((i*32) * d_i, i=0..7) mod p. + * + * It has magnitude 1, unless d_i are all 0, in which case the magnitude is 0. + * It is normalized, unless sum(2^(i*32) * d_i, i=0..7) >= p. + * + * SECP256K1_FE_CONST_INNER is provided by the implementation. + */ +#define SECP256K1_FE_CONST(d7, d6, d5, d4, d3, d2, d1, d0) {SECP256K1_FE_CONST_INNER((d7), (d6), (d5), (d4), (d3), (d2), (d1), (d0)) SECP256K1_FE_VERIFY_CONST((d7), (d6), (d5), (d4), (d3), (d2), (d1), (d0)) } + static const secp256k1_fe secp256k1_fe_one = SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 1); static const secp256k1_fe secp256k1_const_beta = SECP256K1_FE_CONST( 0x7ae96a2bul, 0x657c0710ul, 0x6e64479eul, 0xac3434e9ul, 0x9cf04975ul, 0x12f58995ul, 0xc1396c28ul, 0x719501eeul ); -/** Normalize a field element. This brings the field element to a canonical representation, reduces - * its magnitude to 1, and reduces it modulo field size `p`. +#ifndef VERIFY +/* In non-VERIFY mode, we #define the fe operations to be identical to their + * internal field implementation, to avoid the potential overhead of a + * function call (even though presumably inlinable). */ +# define secp256k1_fe_normalize secp256k1_fe_impl_normalize +# define secp256k1_fe_normalize_weak secp256k1_fe_impl_normalize_weak +# define secp256k1_fe_normalize_var secp256k1_fe_impl_normalize_var +# define secp256k1_fe_normalizes_to_zero secp256k1_fe_impl_normalizes_to_zero +# define secp256k1_fe_normalizes_to_zero_var secp256k1_fe_impl_normalizes_to_zero_var +# define secp256k1_fe_set_int secp256k1_fe_impl_set_int +# define secp256k1_fe_is_zero secp256k1_fe_impl_is_zero +# define secp256k1_fe_is_odd secp256k1_fe_impl_is_odd +# define secp256k1_fe_cmp_var secp256k1_fe_impl_cmp_var +# define secp256k1_fe_set_b32_mod secp256k1_fe_impl_set_b32_mod +# define secp256k1_fe_set_b32_limit secp256k1_fe_impl_set_b32_limit +# define secp256k1_fe_get_b32 secp256k1_fe_impl_get_b32 +# define secp256k1_fe_negate_unchecked secp256k1_fe_impl_negate_unchecked +# define secp256k1_fe_mul_int_unchecked secp256k1_fe_impl_mul_int_unchecked +# define secp256k1_fe_add secp256k1_fe_impl_add +# define secp256k1_fe_mul secp256k1_fe_impl_mul +# define secp256k1_fe_sqr secp256k1_fe_impl_sqr +# define secp256k1_fe_cmov secp256k1_fe_impl_cmov +# define secp256k1_fe_to_storage secp256k1_fe_impl_to_storage +# define secp256k1_fe_from_storage secp256k1_fe_impl_from_storage +# define secp256k1_fe_inv secp256k1_fe_impl_inv +# define secp256k1_fe_inv_var secp256k1_fe_impl_inv_var +# define secp256k1_fe_get_bounds secp256k1_fe_impl_get_bounds +# define secp256k1_fe_half secp256k1_fe_impl_half +# define secp256k1_fe_add_int secp256k1_fe_impl_add_int +# define secp256k1_fe_is_square_var secp256k1_fe_impl_is_square_var +#endif /* !defined(VERIFY) */ + +/** Normalize a field element. + * + * On input, r must be a valid field element. + * On output, r represents the same value but has normalized=1 and magnitude=1. */ static void secp256k1_fe_normalize(secp256k1_fe *r); -/** Weakly normalize a field element: reduce its magnitude to 1, but don't fully normalize. */ +/** Give a field element magnitude 1. + * + * On input, r must be a valid field element. + * On output, r represents the same value but has magnitude=1. Normalized is unchanged. + */ static void secp256k1_fe_normalize_weak(secp256k1_fe *r); -/** Normalize a field element, without constant-time guarantee. */ +/** Normalize a field element, without constant-time guarantee. + * + * Identical in behavior to secp256k1_fe_normalize, but not constant time in r. + */ static void secp256k1_fe_normalize_var(secp256k1_fe *r); -/** Verify whether a field element represents zero i.e. would normalize to a zero value. */ +/** Determine whether r represents field element 0. + * + * On input, r must be a valid field element. + * Returns whether r = 0 (mod p). + */ static int secp256k1_fe_normalizes_to_zero(const secp256k1_fe *r); -/** Verify whether a field element represents zero i.e. would normalize to a zero value, - * without constant-time guarantee. */ +/** Determine whether r represents field element 0, without constant-time guarantee. + * + * Identical in behavior to secp256k1_normalizes_to_zero, but not constant time in r. + */ static int secp256k1_fe_normalizes_to_zero_var(const secp256k1_fe *r); -/** Set a field element equal to a small (not greater than 0x7FFF), non-negative integer. - * Resulting field element is normalized; it has magnitude 0 if a == 0, and magnitude 1 otherwise. +/** Set a field element to an integer in range [0,0x7FFF]. + * + * On input, r does not need to be initialized, a must be in [0,0x7FFF]. + * On output, r represents value a, is normalized and has magnitude (a!=0). */ static void secp256k1_fe_set_int(secp256k1_fe *r, int a); -/** Sets a field element equal to zero, initializing all fields. */ +/** Clear a field element to prevent leaking sensitive information. */ static void secp256k1_fe_clear(secp256k1_fe *a); -/** Verify whether a field element is zero. Requires the input to be normalized. */ +/** Determine whether a represents field element 0. + * + * On input, a must be a valid normalized field element. + * Returns whether a = 0 (mod p). + * + * This behaves identical to secp256k1_normalizes_to_zero{,_var}, but requires + * normalized input (and is much faster). + */ static int secp256k1_fe_is_zero(const secp256k1_fe *a); -/** Check the "oddness" of a field element. Requires the input to be normalized. */ +/** Determine whether a (mod p) is odd. + * + * On input, a must be a valid normalized field element. + * Returns (int(a) mod p) & 1. + */ static int secp256k1_fe_is_odd(const secp256k1_fe *a); -/** Compare two field elements. Requires magnitude-1 inputs. */ +/** Determine whether two field elements are equal. + * + * On input, a and b must be valid field elements with magnitudes not exceeding + * 1 and 31, respectively. + * Returns a = b (mod p). + */ static int secp256k1_fe_equal(const secp256k1_fe *a, const secp256k1_fe *b); -/** Same as secp256k1_fe_equal, but may be variable time. */ -static int secp256k1_fe_equal_var(const secp256k1_fe *a, const secp256k1_fe *b); - -/** Compare two field elements. Requires both inputs to be normalized */ +/** Compare the values represented by 2 field elements, without constant-time guarantee. + * + * On input, a and b must be valid normalized field elements. + * Returns 1 if a > b, -1 if a < b, and 0 if a = b (comparisons are done as integers + * in range 0..p-1). + */ static int secp256k1_fe_cmp_var(const secp256k1_fe *a, const secp256k1_fe *b); -/** Set a field element equal to 32-byte big endian value. If successful, the resulting field element is normalized. */ -static int secp256k1_fe_set_b32(secp256k1_fe *r, const unsigned char *a); +/** Set a field element equal to the element represented by a provided 32-byte big endian value + * interpreted modulo p. + * + * On input, r does not need to be initialized. a must be a pointer to an initialized 32-byte array. + * On output, r = a (mod p). It will have magnitude 1, and not be normalized. + */ +static void secp256k1_fe_set_b32_mod(secp256k1_fe *r, const unsigned char *a); -/** Convert a field element to a 32-byte big endian value. Requires the input to be normalized */ +/** Set a field element equal to a provided 32-byte big endian value, checking for overflow. + * + * On input, r does not need to be initialized. a must be a pointer to an initialized 32-byte array. + * On output, r = a if (a < p), it will be normalized with magnitude 1, and 1 is returned. + * If a >= p, 0 is returned, and r will be made invalid (and must not be used without overwriting). + */ +static int secp256k1_fe_set_b32_limit(secp256k1_fe *r, const unsigned char *a); + +/** Convert a field element to 32-byte big endian byte array. + * On input, a must be a valid normalized field element, and r a pointer to a 32-byte array. + * On output, r = a (mod p). + */ static void secp256k1_fe_get_b32(unsigned char *r, const secp256k1_fe *a); -/** Set a field element equal to the additive inverse of another. Takes a maximum magnitude of the input - * as an argument. The magnitude of the output is one higher. */ -static void secp256k1_fe_negate(secp256k1_fe *r, const secp256k1_fe *a, int m); +/** Negate a field element. + * + * On input, r does not need to be initialized. a must be a valid field element with + * magnitude not exceeding m. m must be an integer constant expression in [0,31]. + * Performs {r = -a}. + * On output, r will not be normalized, and will have magnitude m+1. + */ +#define secp256k1_fe_negate(r, a, m) ASSERT_INT_CONST_AND_DO(m, secp256k1_fe_negate_unchecked(r, a, m)) + +/** Like secp256k1_fe_negate_unchecked but m is not checked to be an integer constant expression. + * + * Should not be called directly outside of tests. + */ +static void secp256k1_fe_negate_unchecked(secp256k1_fe *r, const secp256k1_fe *a, int m); -/** Adds a small integer (up to 0x7FFF) to r. The resulting magnitude increases by one. */ +/** Add a small integer to a field element. + * + * Performs {r += a}. The magnitude of r increases by 1, and normalized is cleared. + * a must be in range [0,0x7FFF]. + */ static void secp256k1_fe_add_int(secp256k1_fe *r, int a); -/** Multiplies the passed field element with a small integer constant. Multiplies the magnitude by that - * small integer. */ -static void secp256k1_fe_mul_int(secp256k1_fe *r, int a); +/** Multiply a field element with a small integer. + * + * On input, r must be a valid field element. a must be an integer constant expression in [0,32]. + * The magnitude of r times a must not exceed 32. + * Performs {r *= a}. + * On output, r's magnitude is multiplied by a, and r will not be normalized. + */ +#define secp256k1_fe_mul_int(r, a) ASSERT_INT_CONST_AND_DO(a, secp256k1_fe_mul_int_unchecked(r, a)) + +/** Like secp256k1_fe_mul_int but a is not checked to be an integer constant expression. + * + * Should not be called directly outside of tests. + */ +static void secp256k1_fe_mul_int_unchecked(secp256k1_fe *r, int a); -/** Adds a field element to another. The result has the sum of the inputs' magnitudes as magnitude. */ +/** Increment a field element by another. + * + * On input, r and a must be valid field elements, not necessarily normalized. + * The sum of their magnitudes must not exceed 32. + * Performs {r += a}. + * On output, r will not be normalized, and will have magnitude incremented by a's. + */ static void secp256k1_fe_add(secp256k1_fe *r, const secp256k1_fe *a); -/** Sets a field element to be the product of two others. Requires the inputs' magnitudes to be at most 8. - * The output magnitude is 1 (but not guaranteed to be normalized). */ +/** Multiply two field elements. + * + * On input, a and b must be valid field elements; r does not need to be initialized. + * r and a may point to the same object, but neither may point to the object pointed + * to by b. The magnitudes of a and b must not exceed 8. + * Performs {r = a * b} + * On output, r will have magnitude 1, but won't be normalized. + */ static void secp256k1_fe_mul(secp256k1_fe *r, const secp256k1_fe *a, const secp256k1_fe * SECP256K1_RESTRICT b); -/** Sets a field element to be the square of another. Requires the input's magnitude to be at most 8. - * The output magnitude is 1 (but not guaranteed to be normalized). */ +/** Square a field element. + * + * On input, a must be a valid field element; r does not need to be initialized. The magnitude + * of a must not exceed 8. + * Performs {r = a**2} + * On output, r will have magnitude 1, but won't be normalized. + */ static void secp256k1_fe_sqr(secp256k1_fe *r, const secp256k1_fe *a); -/** If a has a square root, it is computed in r and 1 is returned. If a does not - * have a square root, the root of its negation is computed and 0 is returned. - * The input's magnitude can be at most 8. The output magnitude is 1 (but not - * guaranteed to be normalized). The result in r will always be a square - * itself. */ -static int secp256k1_fe_sqrt(secp256k1_fe *r, const secp256k1_fe *a); +/** Compute a square root of a field element. + * + * On input, a must be a valid field element with magnitude<=8; r need not be initialized. + * If sqrt(a) exists, performs {r = sqrt(a)} and returns 1. + * Otherwise, sqrt(-a) exists. The function performs {r = sqrt(-a)} and returns 0. + * The resulting value represented by r will be a square itself. + * Variables r and a must not point to the same object. + * On output, r will have magnitude 1 but will not be normalized. + */ +static int secp256k1_fe_sqrt(secp256k1_fe * SECP256K1_RESTRICT r, const secp256k1_fe * SECP256K1_RESTRICT a); -/** Sets a field element to be the (modular) inverse of another. Requires the input's magnitude to be - * at most 8. The output magnitude is 1 (but not guaranteed to be normalized). */ +/** Compute the modular inverse of a field element. + * + * On input, a must be a valid field element; r need not be initialized. + * Performs {r = a**(p-2)} (which maps 0 to 0, and every other element to its + * inverse). + * On output, r will have magnitude (a.magnitude != 0) and be normalized. + */ static void secp256k1_fe_inv(secp256k1_fe *r, const secp256k1_fe *a); -/** Potentially faster version of secp256k1_fe_inv, without constant-time guarantee. */ +/** Compute the modular inverse of a field element, without constant-time guarantee. + * + * Behaves identically to secp256k1_fe_inv, but is not constant-time in a. + */ static void secp256k1_fe_inv_var(secp256k1_fe *r, const secp256k1_fe *a); -/** Convert a field element to the storage type. */ +/** Convert a field element to secp256k1_fe_storage. + * + * On input, a must be a valid normalized field element. + * Performs {r = a}. + */ static void secp256k1_fe_to_storage(secp256k1_fe_storage *r, const secp256k1_fe *a); -/** Convert a field element back from the storage type. */ +/** Convert a field element back from secp256k1_fe_storage. + * + * On input, r need not be initialized. + * Performs {r = a}. + * On output, r will be normalized and will have magnitude 1. + */ static void secp256k1_fe_from_storage(secp256k1_fe *r, const secp256k1_fe_storage *a); /** If flag is true, set *r equal to *a; otherwise leave it. Constant-time. Both *r and *a must be initialized.*/ static void secp256k1_fe_storage_cmov(secp256k1_fe_storage *r, const secp256k1_fe_storage *a, int flag); -/** If flag is true, set *r equal to *a; otherwise leave it. Constant-time. Both *r and *a must be initialized.*/ +/** Conditionally move a field element in constant time. + * + * On input, both r and a must be valid field elements. Flag must be 0 or 1. + * Performs {r = flag ? a : r}. + * + * On output, r's magnitude will be the maximum of both input magnitudes. + * It will be normalized if and only if both inputs were normalized. + */ static void secp256k1_fe_cmov(secp256k1_fe *r, const secp256k1_fe *a, int flag); -/** Halves the value of a field element modulo the field prime. Constant-time. - * For an input magnitude 'm', the output magnitude is set to 'floor(m/2) + 1'. - * The output is not guaranteed to be normalized, regardless of the input. */ +/** Halve the value of a field element modulo the field prime in constant-time. + * + * On input, r must be a valid field element. + * On output, r will be normalized and have magnitude floor(m/2) + 1 where m is + * the magnitude of r on input. + */ static void secp256k1_fe_half(secp256k1_fe *r); -/** Sets each limb of 'r' to its upper bound at magnitude 'm'. The output will also have its - * magnitude set to 'm' and is normalized if (and only if) 'm' is zero. */ +/** Sets r to a field element with magnitude m, normalized if (and only if) m==0. + * The value is chosen so that it is likely to trigger edge cases related to + * internal overflows. */ static void secp256k1_fe_get_bounds(secp256k1_fe *r, int m); -/** Determine whether a is a square (modulo p). */ +/** Determine whether a is a square (modulo p). + * + * On input, a must be a valid field element. + */ static int secp256k1_fe_is_square_var(const secp256k1_fe *a); +/** Check invariants on a field element (no-op unless VERIFY is enabled). */ +static void secp256k1_fe_verify(const secp256k1_fe *a); +#define SECP256K1_FE_VERIFY(a) secp256k1_fe_verify(a) + +/** Check that magnitude of a is at most m (no-op unless VERIFY is enabled). */ +static void secp256k1_fe_verify_magnitude(const secp256k1_fe *a, int m); +#define SECP256K1_FE_VERIFY_MAGNITUDE(a, m) secp256k1_fe_verify_magnitude(a, m) + #endif /* SECP256K1_FIELD_H */ diff --git a/src/field_10x26.h b/src/field_10x26.h index 9eb65607f1..203c10167c 100644 --- a/src/field_10x26.h +++ b/src/field_10x26.h @@ -9,15 +9,28 @@ #include +/** This field implementation represents the value as 10 uint32_t limbs in base + * 2^26. */ typedef struct { - /* X = sum(i=0..9, n[i]*2^(i*26)) mod p - * where p = 2^256 - 0x1000003D1 - */ + /* A field element f represents the sum(i=0..9, f.n[i] << (i*26)) mod p, + * where p is the field modulus, 2^256 - 2^32 - 977. + * + * The individual limbs f.n[i] can exceed 2^26; the field's magnitude roughly + * corresponds to how much excess is allowed. The value + * sum(i=0..9, f.n[i] << (i*26)) may exceed p, unless the field element is + * normalized. */ uint32_t n[10]; -#ifdef VERIFY - int magnitude; - int normalized; -#endif + /* + * Magnitude m requires: + * n[i] <= 2 * m * (2^26 - 1) for i=0..8 + * n[9] <= 2 * m * (2^22 - 1) + * + * Normalized requires: + * n[i] <= (2^26 - 1) for i=0..8 + * sum(i=0..9, n[i] << (i*26)) < p + * (together these imply n[9] <= 2^22 - 1) + */ + SECP256K1_FE_VERIFY_FIELDS } secp256k1_fe; /* Unpacks a constant into a overlapping multi-limbed FE element. */ @@ -34,12 +47,6 @@ typedef struct { (((uint32_t)d7) >> 10) \ } -#ifdef VERIFY -#define SECP256K1_FE_CONST(d7, d6, d5, d4, d3, d2, d1, d0) {SECP256K1_FE_CONST_INNER((d7), (d6), (d5), (d4), (d3), (d2), (d1), (d0)), 1, 1} -#else -#define SECP256K1_FE_CONST(d7, d6, d5, d4, d3, d2, d1, d0) {SECP256K1_FE_CONST_INNER((d7), (d6), (d5), (d4), (d3), (d2), (d1), (d0))} -#endif - typedef struct { uint32_t n[8]; } secp256k1_fe_storage; diff --git a/src/field_10x26_impl.h b/src/field_10x26_impl.h index 46b72ce78d..ea14c27318 100644 --- a/src/field_10x26_impl.h +++ b/src/field_10x26_impl.h @@ -12,47 +12,32 @@ #include "field.h" #include "modinv32_impl.h" -/** See the comment at the top of field_5x52_impl.h for more details. - * - * Here, we represent field elements as 10 uint32_t's in base 2^26, least significant first, - * where limbs can contain >26 bits. - * A magnitude M means: - * - 2*M*(2^22-1) is the max (inclusive) of the most significant limb - * - 2*M*(2^26-1) is the max (inclusive) of the remaining limbs - */ - #ifdef VERIFY -static void secp256k1_fe_verify(const secp256k1_fe *a) { +static void secp256k1_fe_impl_verify(const secp256k1_fe *a) { const uint32_t *d = a->n; - int m = a->normalized ? 1 : 2 * a->magnitude, r = 1; - r &= (d[0] <= 0x3FFFFFFUL * m); - r &= (d[1] <= 0x3FFFFFFUL * m); - r &= (d[2] <= 0x3FFFFFFUL * m); - r &= (d[3] <= 0x3FFFFFFUL * m); - r &= (d[4] <= 0x3FFFFFFUL * m); - r &= (d[5] <= 0x3FFFFFFUL * m); - r &= (d[6] <= 0x3FFFFFFUL * m); - r &= (d[7] <= 0x3FFFFFFUL * m); - r &= (d[8] <= 0x3FFFFFFUL * m); - r &= (d[9] <= 0x03FFFFFUL * m); - r &= (a->magnitude >= 0); - r &= (a->magnitude <= 32); + int m = a->normalized ? 1 : 2 * a->magnitude; + VERIFY_CHECK(d[0] <= 0x3FFFFFFUL * m); + VERIFY_CHECK(d[1] <= 0x3FFFFFFUL * m); + VERIFY_CHECK(d[2] <= 0x3FFFFFFUL * m); + VERIFY_CHECK(d[3] <= 0x3FFFFFFUL * m); + VERIFY_CHECK(d[4] <= 0x3FFFFFFUL * m); + VERIFY_CHECK(d[5] <= 0x3FFFFFFUL * m); + VERIFY_CHECK(d[6] <= 0x3FFFFFFUL * m); + VERIFY_CHECK(d[7] <= 0x3FFFFFFUL * m); + VERIFY_CHECK(d[8] <= 0x3FFFFFFUL * m); + VERIFY_CHECK(d[9] <= 0x03FFFFFUL * m); if (a->normalized) { - r &= (a->magnitude <= 1); - if (r && (d[9] == 0x03FFFFFUL)) { + if (d[9] == 0x03FFFFFUL) { uint32_t mid = d[8] & d[7] & d[6] & d[5] & d[4] & d[3] & d[2]; if (mid == 0x3FFFFFFUL) { - r &= ((d[1] + 0x40UL + ((d[0] + 0x3D1UL) >> 26)) <= 0x3FFFFFFUL); + VERIFY_CHECK((d[1] + 0x40UL + ((d[0] + 0x3D1UL) >> 26)) <= 0x3FFFFFFUL); } } } - VERIFY_CHECK(r == 1); } #endif -static void secp256k1_fe_get_bounds(secp256k1_fe *r, int m) { - VERIFY_CHECK(m >= 0); - VERIFY_CHECK(m <= 2048); +static void secp256k1_fe_impl_get_bounds(secp256k1_fe *r, int m) { r->n[0] = 0x3FFFFFFUL * 2 * m; r->n[1] = 0x3FFFFFFUL * 2 * m; r->n[2] = 0x3FFFFFFUL * 2 * m; @@ -63,14 +48,9 @@ static void secp256k1_fe_get_bounds(secp256k1_fe *r, int m) { r->n[7] = 0x3FFFFFFUL * 2 * m; r->n[8] = 0x3FFFFFFUL * 2 * m; r->n[9] = 0x03FFFFFUL * 2 * m; -#ifdef VERIFY - r->magnitude = m; - r->normalized = (m == 0); - secp256k1_fe_verify(r); -#endif } -static void secp256k1_fe_normalize(secp256k1_fe *r) { +static void secp256k1_fe_impl_normalize(secp256k1_fe *r) { uint32_t t0 = r->n[0], t1 = r->n[1], t2 = r->n[2], t3 = r->n[3], t4 = r->n[4], t5 = r->n[5], t6 = r->n[6], t7 = r->n[7], t8 = r->n[8], t9 = r->n[9]; @@ -117,15 +97,9 @@ static void secp256k1_fe_normalize(secp256k1_fe *r) { r->n[0] = t0; r->n[1] = t1; r->n[2] = t2; r->n[3] = t3; r->n[4] = t4; r->n[5] = t5; r->n[6] = t6; r->n[7] = t7; r->n[8] = t8; r->n[9] = t9; - -#ifdef VERIFY - r->magnitude = 1; - r->normalized = 1; - secp256k1_fe_verify(r); -#endif } -static void secp256k1_fe_normalize_weak(secp256k1_fe *r) { +static void secp256k1_fe_impl_normalize_weak(secp256k1_fe *r) { uint32_t t0 = r->n[0], t1 = r->n[1], t2 = r->n[2], t3 = r->n[3], t4 = r->n[4], t5 = r->n[5], t6 = r->n[6], t7 = r->n[7], t8 = r->n[8], t9 = r->n[9]; @@ -149,14 +123,9 @@ static void secp256k1_fe_normalize_weak(secp256k1_fe *r) { r->n[0] = t0; r->n[1] = t1; r->n[2] = t2; r->n[3] = t3; r->n[4] = t4; r->n[5] = t5; r->n[6] = t6; r->n[7] = t7; r->n[8] = t8; r->n[9] = t9; - -#ifdef VERIFY - r->magnitude = 1; - secp256k1_fe_verify(r); -#endif } -static void secp256k1_fe_normalize_var(secp256k1_fe *r) { +static void secp256k1_fe_impl_normalize_var(secp256k1_fe *r) { uint32_t t0 = r->n[0], t1 = r->n[1], t2 = r->n[2], t3 = r->n[3], t4 = r->n[4], t5 = r->n[5], t6 = r->n[6], t7 = r->n[7], t8 = r->n[8], t9 = r->n[9]; @@ -204,15 +173,9 @@ static void secp256k1_fe_normalize_var(secp256k1_fe *r) { r->n[0] = t0; r->n[1] = t1; r->n[2] = t2; r->n[3] = t3; r->n[4] = t4; r->n[5] = t5; r->n[6] = t6; r->n[7] = t7; r->n[8] = t8; r->n[9] = t9; - -#ifdef VERIFY - r->magnitude = 1; - r->normalized = 1; - secp256k1_fe_verify(r); -#endif } -static int secp256k1_fe_normalizes_to_zero(const secp256k1_fe *r) { +static int secp256k1_fe_impl_normalizes_to_zero(const secp256k1_fe *r) { uint32_t t0 = r->n[0], t1 = r->n[1], t2 = r->n[2], t3 = r->n[3], t4 = r->n[4], t5 = r->n[5], t6 = r->n[6], t7 = r->n[7], t8 = r->n[8], t9 = r->n[9]; @@ -241,7 +204,7 @@ static int secp256k1_fe_normalizes_to_zero(const secp256k1_fe *r) { return (z0 == 0) | (z1 == 0x3FFFFFFUL); } -static int secp256k1_fe_normalizes_to_zero_var(const secp256k1_fe *r) { +static int secp256k1_fe_impl_normalizes_to_zero_var(const secp256k1_fe *r) { uint32_t t0, t1, t2, t3, t4, t5, t6, t7, t8, t9; uint32_t z0, z1; uint32_t x; @@ -293,53 +256,22 @@ static int secp256k1_fe_normalizes_to_zero_var(const secp256k1_fe *r) { return (z0 == 0) | (z1 == 0x3FFFFFFUL); } -SECP256K1_INLINE static void secp256k1_fe_set_int(secp256k1_fe *r, int a) { - VERIFY_CHECK(0 <= a && a <= 0x7FFF); +SECP256K1_INLINE static void secp256k1_fe_impl_set_int(secp256k1_fe *r, int a) { r->n[0] = a; r->n[1] = r->n[2] = r->n[3] = r->n[4] = r->n[5] = r->n[6] = r->n[7] = r->n[8] = r->n[9] = 0; -#ifdef VERIFY - r->magnitude = (a != 0); - r->normalized = 1; - secp256k1_fe_verify(r); -#endif } -SECP256K1_INLINE static int secp256k1_fe_is_zero(const secp256k1_fe *a) { +SECP256K1_INLINE static int secp256k1_fe_impl_is_zero(const secp256k1_fe *a) { const uint32_t *t = a->n; -#ifdef VERIFY - VERIFY_CHECK(a->normalized); - secp256k1_fe_verify(a); -#endif return (t[0] | t[1] | t[2] | t[3] | t[4] | t[5] | t[6] | t[7] | t[8] | t[9]) == 0; } -SECP256K1_INLINE static int secp256k1_fe_is_odd(const secp256k1_fe *a) { -#ifdef VERIFY - VERIFY_CHECK(a->normalized); - secp256k1_fe_verify(a); -#endif +SECP256K1_INLINE static int secp256k1_fe_impl_is_odd(const secp256k1_fe *a) { return a->n[0] & 1; } -SECP256K1_INLINE static void secp256k1_fe_clear(secp256k1_fe *a) { +static int secp256k1_fe_impl_cmp_var(const secp256k1_fe *a, const secp256k1_fe *b) { int i; -#ifdef VERIFY - a->magnitude = 0; - a->normalized = 1; -#endif - for (i=0; i<10; i++) { - a->n[i] = 0; - } -} - -static int secp256k1_fe_cmp_var(const secp256k1_fe *a, const secp256k1_fe *b) { - int i; -#ifdef VERIFY - VERIFY_CHECK(a->normalized); - VERIFY_CHECK(b->normalized); - secp256k1_fe_verify(a); - secp256k1_fe_verify(b); -#endif for (i = 9; i >= 0; i--) { if (a->n[i] > b->n[i]) { return 1; @@ -351,8 +283,7 @@ static int secp256k1_fe_cmp_var(const secp256k1_fe *a, const secp256k1_fe *b) { return 0; } -static int secp256k1_fe_set_b32(secp256k1_fe *r, const unsigned char *a) { - int ret; +static void secp256k1_fe_impl_set_b32_mod(secp256k1_fe *r, const unsigned char *a) { r->n[0] = (uint32_t)a[31] | ((uint32_t)a[30] << 8) | ((uint32_t)a[29] << 16) | ((uint32_t)(a[28] & 0x3) << 24); r->n[1] = (uint32_t)((a[28] >> 2) & 0x3f) | ((uint32_t)a[27] << 6) | ((uint32_t)a[26] << 14) | ((uint32_t)(a[25] & 0xf) << 22); r->n[2] = (uint32_t)((a[25] >> 4) & 0xf) | ((uint32_t)a[24] << 4) | ((uint32_t)a[23] << 12) | ((uint32_t)(a[22] & 0x3f) << 20); @@ -363,26 +294,15 @@ static int secp256k1_fe_set_b32(secp256k1_fe *r, const unsigned char *a) { r->n[7] = (uint32_t)((a[9] >> 6) & 0x3) | ((uint32_t)a[8] << 2) | ((uint32_t)a[7] << 10) | ((uint32_t)a[6] << 18); r->n[8] = (uint32_t)a[5] | ((uint32_t)a[4] << 8) | ((uint32_t)a[3] << 16) | ((uint32_t)(a[2] & 0x3) << 24); r->n[9] = (uint32_t)((a[2] >> 2) & 0x3f) | ((uint32_t)a[1] << 6) | ((uint32_t)a[0] << 14); +} - ret = !((r->n[9] == 0x3FFFFFUL) & ((r->n[8] & r->n[7] & r->n[6] & r->n[5] & r->n[4] & r->n[3] & r->n[2]) == 0x3FFFFFFUL) & ((r->n[1] + 0x40UL + ((r->n[0] + 0x3D1UL) >> 26)) > 0x3FFFFFFUL)); -#ifdef VERIFY - r->magnitude = 1; - if (ret) { - r->normalized = 1; - secp256k1_fe_verify(r); - } else { - r->normalized = 0; - } -#endif - return ret; +static int secp256k1_fe_impl_set_b32_limit(secp256k1_fe *r, const unsigned char *a) { + secp256k1_fe_impl_set_b32_mod(r, a); + return !((r->n[9] == 0x3FFFFFUL) & ((r->n[8] & r->n[7] & r->n[6] & r->n[5] & r->n[4] & r->n[3] & r->n[2]) == 0x3FFFFFFUL) & ((r->n[1] + 0x40UL + ((r->n[0] + 0x3D1UL) >> 26)) > 0x3FFFFFFUL)); } /** Convert a field element to a 32-byte big endian value. Requires the input to be normalized */ -static void secp256k1_fe_get_b32(unsigned char *r, const secp256k1_fe *a) { -#ifdef VERIFY - VERIFY_CHECK(a->normalized); - secp256k1_fe_verify(a); -#endif +static void secp256k1_fe_impl_get_b32(unsigned char *r, const secp256k1_fe *a) { r[0] = (a->n[9] >> 14) & 0xff; r[1] = (a->n[9] >> 6) & 0xff; r[2] = ((a->n[9] & 0x3F) << 2) | ((a->n[8] >> 24) & 0x3); @@ -417,15 +337,15 @@ static void secp256k1_fe_get_b32(unsigned char *r, const secp256k1_fe *a) { r[31] = a->n[0] & 0xff; } -SECP256K1_INLINE static void secp256k1_fe_negate(secp256k1_fe *r, const secp256k1_fe *a, int m) { -#ifdef VERIFY - VERIFY_CHECK(a->magnitude <= m); - secp256k1_fe_verify(a); +SECP256K1_INLINE static void secp256k1_fe_impl_negate_unchecked(secp256k1_fe *r, const secp256k1_fe *a, int m) { + /* For all legal values of m (0..31), the following properties hold: */ VERIFY_CHECK(0x3FFFC2FUL * 2 * (m + 1) >= 0x3FFFFFFUL * 2 * m); VERIFY_CHECK(0x3FFFFBFUL * 2 * (m + 1) >= 0x3FFFFFFUL * 2 * m); VERIFY_CHECK(0x3FFFFFFUL * 2 * (m + 1) >= 0x3FFFFFFUL * 2 * m); VERIFY_CHECK(0x03FFFFFUL * 2 * (m + 1) >= 0x03FFFFFUL * 2 * m); -#endif + + /* Due to the properties above, the left hand in the subtractions below is never less than + * the right hand. */ r->n[0] = 0x3FFFC2FUL * 2 * (m + 1) - a->n[0]; r->n[1] = 0x3FFFFBFUL * 2 * (m + 1) - a->n[1]; r->n[2] = 0x3FFFFFFUL * 2 * (m + 1) - a->n[2]; @@ -436,14 +356,9 @@ SECP256K1_INLINE static void secp256k1_fe_negate(secp256k1_fe *r, const secp256k r->n[7] = 0x3FFFFFFUL * 2 * (m + 1) - a->n[7]; r->n[8] = 0x3FFFFFFUL * 2 * (m + 1) - a->n[8]; r->n[9] = 0x03FFFFFUL * 2 * (m + 1) - a->n[9]; -#ifdef VERIFY - r->magnitude = m + 1; - r->normalized = 0; - secp256k1_fe_verify(r); -#endif } -SECP256K1_INLINE static void secp256k1_fe_mul_int(secp256k1_fe *r, int a) { +SECP256K1_INLINE static void secp256k1_fe_impl_mul_int_unchecked(secp256k1_fe *r, int a) { r->n[0] *= a; r->n[1] *= a; r->n[2] *= a; @@ -454,17 +369,9 @@ SECP256K1_INLINE static void secp256k1_fe_mul_int(secp256k1_fe *r, int a) { r->n[7] *= a; r->n[8] *= a; r->n[9] *= a; -#ifdef VERIFY - r->magnitude *= a; - r->normalized = 0; - secp256k1_fe_verify(r); -#endif } -SECP256K1_INLINE static void secp256k1_fe_add(secp256k1_fe *r, const secp256k1_fe *a) { -#ifdef VERIFY - secp256k1_fe_verify(a); -#endif +SECP256K1_INLINE static void secp256k1_fe_impl_add(secp256k1_fe *r, const secp256k1_fe *a) { r->n[0] += a->n[0]; r->n[1] += a->n[1]; r->n[2] += a->n[2]; @@ -475,25 +382,10 @@ SECP256K1_INLINE static void secp256k1_fe_add(secp256k1_fe *r, const secp256k1_f r->n[7] += a->n[7]; r->n[8] += a->n[8]; r->n[9] += a->n[9]; -#ifdef VERIFY - r->magnitude += a->magnitude; - r->normalized = 0; - secp256k1_fe_verify(r); -#endif } -SECP256K1_INLINE static void secp256k1_fe_add_int(secp256k1_fe *r, int a) { -#ifdef VERIFY - secp256k1_fe_verify(r); - VERIFY_CHECK(a >= 0); - VERIFY_CHECK(a <= 0x7FFF); -#endif +SECP256K1_INLINE static void secp256k1_fe_impl_add_int(secp256k1_fe *r, int a) { r->n[0] += a; -#ifdef VERIFY - r->magnitude += 1; - r->normalized = 0; - secp256k1_fe_verify(r); -#endif } #if defined(USE_EXTERNAL_ASM) @@ -504,11 +396,7 @@ void secp256k1_fe_sqr_inner(uint32_t *r, const uint32_t *a); #else -#ifdef VERIFY #define VERIFY_BITS(x, n) VERIFY_CHECK(((x) >> (n)) == 0) -#else -#define VERIFY_BITS(x, n) do { } while(0) -#endif SECP256K1_INLINE static void secp256k1_fe_mul_inner(uint32_t *r, const uint32_t *a, const uint32_t * SECP256K1_RESTRICT b) { uint64_t c, d; @@ -1115,40 +1003,19 @@ SECP256K1_INLINE static void secp256k1_fe_sqr_inner(uint32_t *r, const uint32_t } #endif -static void secp256k1_fe_mul(secp256k1_fe *r, const secp256k1_fe *a, const secp256k1_fe * SECP256K1_RESTRICT b) { -#ifdef VERIFY - VERIFY_CHECK(a->magnitude <= 8); - VERIFY_CHECK(b->magnitude <= 8); - secp256k1_fe_verify(a); - secp256k1_fe_verify(b); - VERIFY_CHECK(r != b); - VERIFY_CHECK(a != b); -#endif +SECP256K1_INLINE static void secp256k1_fe_impl_mul(secp256k1_fe *r, const secp256k1_fe *a, const secp256k1_fe * SECP256K1_RESTRICT b) { secp256k1_fe_mul_inner(r->n, a->n, b->n); -#ifdef VERIFY - r->magnitude = 1; - r->normalized = 0; - secp256k1_fe_verify(r); -#endif } -static void secp256k1_fe_sqr(secp256k1_fe *r, const secp256k1_fe *a) { -#ifdef VERIFY - VERIFY_CHECK(a->magnitude <= 8); - secp256k1_fe_verify(a); -#endif +SECP256K1_INLINE static void secp256k1_fe_impl_sqr(secp256k1_fe *r, const secp256k1_fe *a) { secp256k1_fe_sqr_inner(r->n, a->n); -#ifdef VERIFY - r->magnitude = 1; - r->normalized = 0; - secp256k1_fe_verify(r); -#endif } -static SECP256K1_INLINE void secp256k1_fe_cmov(secp256k1_fe *r, const secp256k1_fe *a, int flag) { +SECP256K1_INLINE static void secp256k1_fe_impl_cmov(secp256k1_fe *r, const secp256k1_fe *a, int flag) { uint32_t mask0, mask1; + volatile int vflag = flag; SECP256K1_CHECKMEM_CHECK_VERIFY(r->n, sizeof(r->n)); - mask0 = flag + ~((uint32_t)0); + mask0 = vflag + ~((uint32_t)0); mask1 = ~mask0; r->n[0] = (r->n[0] & mask0) | (a->n[0] & mask1); r->n[1] = (r->n[1] & mask0) | (a->n[1] & mask1); @@ -1160,25 +1027,14 @@ static SECP256K1_INLINE void secp256k1_fe_cmov(secp256k1_fe *r, const secp256k1_ r->n[7] = (r->n[7] & mask0) | (a->n[7] & mask1); r->n[8] = (r->n[8] & mask0) | (a->n[8] & mask1); r->n[9] = (r->n[9] & mask0) | (a->n[9] & mask1); -#ifdef VERIFY - if (flag) { - r->magnitude = a->magnitude; - r->normalized = a->normalized; - } -#endif } -static SECP256K1_INLINE void secp256k1_fe_half(secp256k1_fe *r) { +static SECP256K1_INLINE void secp256k1_fe_impl_half(secp256k1_fe *r) { uint32_t t0 = r->n[0], t1 = r->n[1], t2 = r->n[2], t3 = r->n[3], t4 = r->n[4], t5 = r->n[5], t6 = r->n[6], t7 = r->n[7], t8 = r->n[8], t9 = r->n[9]; uint32_t one = (uint32_t)1; uint32_t mask = -(t0 & one) >> 6; -#ifdef VERIFY - secp256k1_fe_verify(r); - VERIFY_CHECK(r->magnitude < 32); -#endif - /* Bounds analysis (over the rationals). * * Let m = r->magnitude @@ -1225,10 +1081,8 @@ static SECP256K1_INLINE void secp256k1_fe_half(secp256k1_fe *r) { * * Current bounds: t0..t8 <= C * (m/2 + 1/2) * t9 <= D * (m/2 + 1/4) - */ - -#ifdef VERIFY - /* Therefore the output magnitude (M) has to be set such that: + * + * Therefore the output magnitude (M) has to be set such that: * t0..t8: C * M >= C * (m/2 + 1/2) * t9: D * M >= D * (m/2 + 1/4) * @@ -1238,16 +1092,13 @@ static SECP256K1_INLINE void secp256k1_fe_half(secp256k1_fe *r) { * and since we want the smallest such integer value for M: * M == floor(m/2) + 1 */ - r->magnitude = (r->magnitude >> 1) + 1; - r->normalized = 0; - secp256k1_fe_verify(r); -#endif } static SECP256K1_INLINE void secp256k1_fe_storage_cmov(secp256k1_fe_storage *r, const secp256k1_fe_storage *a, int flag) { uint32_t mask0, mask1; + volatile int vflag = flag; SECP256K1_CHECKMEM_CHECK_VERIFY(r->n, sizeof(r->n)); - mask0 = flag + ~((uint32_t)0); + mask0 = vflag + ~((uint32_t)0); mask1 = ~mask0; r->n[0] = (r->n[0] & mask0) | (a->n[0] & mask1); r->n[1] = (r->n[1] & mask0) | (a->n[1] & mask1); @@ -1259,10 +1110,7 @@ static SECP256K1_INLINE void secp256k1_fe_storage_cmov(secp256k1_fe_storage *r, r->n[7] = (r->n[7] & mask0) | (a->n[7] & mask1); } -static void secp256k1_fe_to_storage(secp256k1_fe_storage *r, const secp256k1_fe *a) { -#ifdef VERIFY - VERIFY_CHECK(a->normalized); -#endif +static void secp256k1_fe_impl_to_storage(secp256k1_fe_storage *r, const secp256k1_fe *a) { r->n[0] = a->n[0] | a->n[1] << 26; r->n[1] = a->n[1] >> 6 | a->n[2] << 20; r->n[2] = a->n[2] >> 12 | a->n[3] << 14; @@ -1273,7 +1121,7 @@ static void secp256k1_fe_to_storage(secp256k1_fe_storage *r, const secp256k1_fe r->n[7] = a->n[8] >> 16 | a->n[9] << 10; } -static SECP256K1_INLINE void secp256k1_fe_from_storage(secp256k1_fe *r, const secp256k1_fe_storage *a) { +static SECP256K1_INLINE void secp256k1_fe_impl_from_storage(secp256k1_fe *r, const secp256k1_fe_storage *a) { r->n[0] = a->n[0] & 0x3FFFFFFUL; r->n[1] = a->n[0] >> 26 | ((a->n[1] << 6) & 0x3FFFFFFUL); r->n[2] = a->n[1] >> 20 | ((a->n[2] << 12) & 0x3FFFFFFUL); @@ -1284,11 +1132,6 @@ static SECP256K1_INLINE void secp256k1_fe_from_storage(secp256k1_fe *r, const se r->n[7] = a->n[5] >> 22 | ((a->n[6] << 10) & 0x3FFFFFFUL); r->n[8] = a->n[6] >> 16 | ((a->n[7] << 16) & 0x3FFFFFFUL); r->n[9] = a->n[7] >> 10; -#ifdef VERIFY - r->magnitude = 1; - r->normalized = 1; - secp256k1_fe_verify(r); -#endif } static void secp256k1_fe_from_signed30(secp256k1_fe *r, const secp256k1_modinv32_signed30 *a) { @@ -1319,12 +1162,6 @@ static void secp256k1_fe_from_signed30(secp256k1_fe *r, const secp256k1_modinv32 r->n[7] = (a6 >> 2 ) & M26; r->n[8] = (a6 >> 28 | a7 << 2) & M26; r->n[9] = (a7 >> 24 | a8 << 6); - -#ifdef VERIFY - r->magnitude = 1; - r->normalized = 1; - secp256k1_fe_verify(r); -#endif } static void secp256k1_fe_to_signed30(secp256k1_modinv32_signed30 *r, const secp256k1_fe *a) { @@ -1332,10 +1169,6 @@ static void secp256k1_fe_to_signed30(secp256k1_modinv32_signed30 *r, const secp2 const uint64_t a0 = a->n[0], a1 = a->n[1], a2 = a->n[2], a3 = a->n[3], a4 = a->n[4], a5 = a->n[5], a6 = a->n[6], a7 = a->n[7], a8 = a->n[8], a9 = a->n[9]; -#ifdef VERIFY - VERIFY_CHECK(a->normalized); -#endif - r->v[0] = (a0 | a1 << 26) & M30; r->v[1] = (a1 >> 4 | a2 << 22) & M30; r->v[2] = (a2 >> 8 | a3 << 18) & M30; @@ -1353,33 +1186,27 @@ static const secp256k1_modinv32_modinfo secp256k1_const_modinfo_fe = { 0x2DDACACFL }; -static void secp256k1_fe_inv(secp256k1_fe *r, const secp256k1_fe *x) { - secp256k1_fe tmp; +static void secp256k1_fe_impl_inv(secp256k1_fe *r, const secp256k1_fe *x) { + secp256k1_fe tmp = *x; secp256k1_modinv32_signed30 s; - tmp = *x; secp256k1_fe_normalize(&tmp); secp256k1_fe_to_signed30(&s, &tmp); secp256k1_modinv32(&s, &secp256k1_const_modinfo_fe); secp256k1_fe_from_signed30(r, &s); - - VERIFY_CHECK(secp256k1_fe_normalizes_to_zero(r) == secp256k1_fe_normalizes_to_zero(&tmp)); } -static void secp256k1_fe_inv_var(secp256k1_fe *r, const secp256k1_fe *x) { - secp256k1_fe tmp; +static void secp256k1_fe_impl_inv_var(secp256k1_fe *r, const secp256k1_fe *x) { + secp256k1_fe tmp = *x; secp256k1_modinv32_signed30 s; - tmp = *x; secp256k1_fe_normalize_var(&tmp); secp256k1_fe_to_signed30(&s, &tmp); secp256k1_modinv32_var(&s, &secp256k1_const_modinfo_fe); secp256k1_fe_from_signed30(r, &s); - - VERIFY_CHECK(secp256k1_fe_normalizes_to_zero(r) == secp256k1_fe_normalizes_to_zero(&tmp)); } -static int secp256k1_fe_is_square_var(const secp256k1_fe *x) { +static int secp256k1_fe_impl_is_square_var(const secp256k1_fe *x) { secp256k1_fe tmp; secp256k1_modinv32_signed30 s; int jac, ret; @@ -1397,10 +1224,6 @@ static int secp256k1_fe_is_square_var(const secp256k1_fe *x) { secp256k1_fe dummy; ret = secp256k1_fe_sqrt(&dummy, &tmp); } else { -#ifdef VERIFY - secp256k1_fe dummy; - VERIFY_CHECK(jac == 2*secp256k1_fe_sqrt(&dummy, &tmp) - 1); -#endif ret = jac >= 0; } return ret; diff --git a/src/field_5x52.h b/src/field_5x52.h index 50ee3f9ec9..f20c246fdd 100644 --- a/src/field_5x52.h +++ b/src/field_5x52.h @@ -9,15 +9,28 @@ #include +/** This field implementation represents the value as 5 uint64_t limbs in base + * 2^52. */ typedef struct { - /* X = sum(i=0..4, n[i]*2^(i*52)) mod p - * where p = 2^256 - 0x1000003D1 - */ + /* A field element f represents the sum(i=0..4, f.n[i] << (i*52)) mod p, + * where p is the field modulus, 2^256 - 2^32 - 977. + * + * The individual limbs f.n[i] can exceed 2^52; the field's magnitude roughly + * corresponds to how much excess is allowed. The value + * sum(i=0..4, f.n[i] << (i*52)) may exceed p, unless the field element is + * normalized. */ uint64_t n[5]; -#ifdef VERIFY - int magnitude; - int normalized; -#endif + /* + * Magnitude m requires: + * n[i] <= 2 * m * (2^52 - 1) for i=0..3 + * n[4] <= 2 * m * (2^48 - 1) + * + * Normalized requires: + * n[i] <= (2^52 - 1) for i=0..3 + * sum(i=0..4, n[i] << (i*52)) < p + * (together these imply n[4] <= 2^48 - 1) + */ + SECP256K1_FE_VERIFY_FIELDS } secp256k1_fe; /* Unpacks a constant into a overlapping multi-limbed FE element. */ @@ -29,12 +42,6 @@ typedef struct { ((uint64_t)(d6) >> 16) | (((uint64_t)(d7)) << 16) \ } -#ifdef VERIFY -#define SECP256K1_FE_CONST(d7, d6, d5, d4, d3, d2, d1, d0) {SECP256K1_FE_CONST_INNER((d7), (d6), (d5), (d4), (d3), (d2), (d1), (d0)), 1, 1} -#else -#define SECP256K1_FE_CONST(d7, d6, d5, d4, d3, d2, d1, d0) {SECP256K1_FE_CONST_INNER((d7), (d6), (d5), (d4), (d3), (d2), (d1), (d0))} -#endif - typedef struct { uint64_t n[4]; } secp256k1_fe_storage; diff --git a/src/field_5x52_asm_impl.h b/src/field_5x52_asm_impl.h deleted file mode 100644 index a2118044ab..0000000000 --- a/src/field_5x52_asm_impl.h +++ /dev/null @@ -1,502 +0,0 @@ -/*********************************************************************** - * Copyright (c) 2013-2014 Diederik Huys, Pieter Wuille * - * Distributed under the MIT software license, see the accompanying * - * file COPYING or https://www.opensource.org/licenses/mit-license.php.* - ***********************************************************************/ - -/** - * Changelog: - * - March 2013, Diederik Huys: original version - * - November 2014, Pieter Wuille: updated to use Peter Dettman's parallel multiplication algorithm - * - December 2014, Pieter Wuille: converted from YASM to GCC inline assembly - */ - -#ifndef SECP256K1_FIELD_INNER5X52_IMPL_H -#define SECP256K1_FIELD_INNER5X52_IMPL_H - -SECP256K1_INLINE static void secp256k1_fe_mul_inner(uint64_t *r, const uint64_t *a, const uint64_t * SECP256K1_RESTRICT b) { -/** - * Registers: rdx:rax = multiplication accumulator - * r9:r8 = c - * r15:rcx = d - * r10-r14 = a0-a4 - * rbx = b - * rdi = r - * rsi = a / t? - */ - uint64_t tmp1, tmp2, tmp3; -__asm__ __volatile__( - "movq 0(%%rsi),%%r10\n" - "movq 8(%%rsi),%%r11\n" - "movq 16(%%rsi),%%r12\n" - "movq 24(%%rsi),%%r13\n" - "movq 32(%%rsi),%%r14\n" - - /* d += a3 * b0 */ - "movq 0(%%rbx),%%rax\n" - "mulq %%r13\n" - "movq %%rax,%%rcx\n" - "movq %%rdx,%%r15\n" - /* d += a2 * b1 */ - "movq 8(%%rbx),%%rax\n" - "mulq %%r12\n" - "addq %%rax,%%rcx\n" - "adcq %%rdx,%%r15\n" - /* d += a1 * b2 */ - "movq 16(%%rbx),%%rax\n" - "mulq %%r11\n" - "addq %%rax,%%rcx\n" - "adcq %%rdx,%%r15\n" - /* d = a0 * b3 */ - "movq 24(%%rbx),%%rax\n" - "mulq %%r10\n" - "addq %%rax,%%rcx\n" - "adcq %%rdx,%%r15\n" - /* c = a4 * b4 */ - "movq 32(%%rbx),%%rax\n" - "mulq %%r14\n" - "movq %%rax,%%r8\n" - "movq %%rdx,%%r9\n" - /* d += (c & M) * R */ - "movq $0xfffffffffffff,%%rdx\n" - "andq %%rdx,%%rax\n" - "movq $0x1000003d10,%%rdx\n" - "mulq %%rdx\n" - "addq %%rax,%%rcx\n" - "adcq %%rdx,%%r15\n" - /* c >>= 52 (%%r8 only) */ - "shrdq $52,%%r9,%%r8\n" - /* t3 (tmp1) = d & M */ - "movq %%rcx,%%rsi\n" - "movq $0xfffffffffffff,%%rdx\n" - "andq %%rdx,%%rsi\n" - "movq %%rsi,%q1\n" - /* d >>= 52 */ - "shrdq $52,%%r15,%%rcx\n" - "xorq %%r15,%%r15\n" - /* d += a4 * b0 */ - "movq 0(%%rbx),%%rax\n" - "mulq %%r14\n" - "addq %%rax,%%rcx\n" - "adcq %%rdx,%%r15\n" - /* d += a3 * b1 */ - "movq 8(%%rbx),%%rax\n" - "mulq %%r13\n" - "addq %%rax,%%rcx\n" - "adcq %%rdx,%%r15\n" - /* d += a2 * b2 */ - "movq 16(%%rbx),%%rax\n" - "mulq %%r12\n" - "addq %%rax,%%rcx\n" - "adcq %%rdx,%%r15\n" - /* d += a1 * b3 */ - "movq 24(%%rbx),%%rax\n" - "mulq %%r11\n" - "addq %%rax,%%rcx\n" - "adcq %%rdx,%%r15\n" - /* d += a0 * b4 */ - "movq 32(%%rbx),%%rax\n" - "mulq %%r10\n" - "addq %%rax,%%rcx\n" - "adcq %%rdx,%%r15\n" - /* d += c * R */ - "movq %%r8,%%rax\n" - "movq $0x1000003d10,%%rdx\n" - "mulq %%rdx\n" - "addq %%rax,%%rcx\n" - "adcq %%rdx,%%r15\n" - /* t4 = d & M (%%rsi) */ - "movq %%rcx,%%rsi\n" - "movq $0xfffffffffffff,%%rdx\n" - "andq %%rdx,%%rsi\n" - /* d >>= 52 */ - "shrdq $52,%%r15,%%rcx\n" - "xorq %%r15,%%r15\n" - /* tx = t4 >> 48 (tmp3) */ - "movq %%rsi,%%rax\n" - "shrq $48,%%rax\n" - "movq %%rax,%q3\n" - /* t4 &= (M >> 4) (tmp2) */ - "movq $0xffffffffffff,%%rax\n" - "andq %%rax,%%rsi\n" - "movq %%rsi,%q2\n" - /* c = a0 * b0 */ - "movq 0(%%rbx),%%rax\n" - "mulq %%r10\n" - "movq %%rax,%%r8\n" - "movq %%rdx,%%r9\n" - /* d += a4 * b1 */ - "movq 8(%%rbx),%%rax\n" - "mulq %%r14\n" - "addq %%rax,%%rcx\n" - "adcq %%rdx,%%r15\n" - /* d += a3 * b2 */ - "movq 16(%%rbx),%%rax\n" - "mulq %%r13\n" - "addq %%rax,%%rcx\n" - "adcq %%rdx,%%r15\n" - /* d += a2 * b3 */ - "movq 24(%%rbx),%%rax\n" - "mulq %%r12\n" - "addq %%rax,%%rcx\n" - "adcq %%rdx,%%r15\n" - /* d += a1 * b4 */ - "movq 32(%%rbx),%%rax\n" - "mulq %%r11\n" - "addq %%rax,%%rcx\n" - "adcq %%rdx,%%r15\n" - /* u0 = d & M (%%rsi) */ - "movq %%rcx,%%rsi\n" - "movq $0xfffffffffffff,%%rdx\n" - "andq %%rdx,%%rsi\n" - /* d >>= 52 */ - "shrdq $52,%%r15,%%rcx\n" - "xorq %%r15,%%r15\n" - /* u0 = (u0 << 4) | tx (%%rsi) */ - "shlq $4,%%rsi\n" - "movq %q3,%%rax\n" - "orq %%rax,%%rsi\n" - /* c += u0 * (R >> 4) */ - "movq $0x1000003d1,%%rax\n" - "mulq %%rsi\n" - "addq %%rax,%%r8\n" - "adcq %%rdx,%%r9\n" - /* r[0] = c & M */ - "movq %%r8,%%rax\n" - "movq $0xfffffffffffff,%%rdx\n" - "andq %%rdx,%%rax\n" - "movq %%rax,0(%%rdi)\n" - /* c >>= 52 */ - "shrdq $52,%%r9,%%r8\n" - "xorq %%r9,%%r9\n" - /* c += a1 * b0 */ - "movq 0(%%rbx),%%rax\n" - "mulq %%r11\n" - "addq %%rax,%%r8\n" - "adcq %%rdx,%%r9\n" - /* c += a0 * b1 */ - "movq 8(%%rbx),%%rax\n" - "mulq %%r10\n" - "addq %%rax,%%r8\n" - "adcq %%rdx,%%r9\n" - /* d += a4 * b2 */ - "movq 16(%%rbx),%%rax\n" - "mulq %%r14\n" - "addq %%rax,%%rcx\n" - "adcq %%rdx,%%r15\n" - /* d += a3 * b3 */ - "movq 24(%%rbx),%%rax\n" - "mulq %%r13\n" - "addq %%rax,%%rcx\n" - "adcq %%rdx,%%r15\n" - /* d += a2 * b4 */ - "movq 32(%%rbx),%%rax\n" - "mulq %%r12\n" - "addq %%rax,%%rcx\n" - "adcq %%rdx,%%r15\n" - /* c += (d & M) * R */ - "movq %%rcx,%%rax\n" - "movq $0xfffffffffffff,%%rdx\n" - "andq %%rdx,%%rax\n" - "movq $0x1000003d10,%%rdx\n" - "mulq %%rdx\n" - "addq %%rax,%%r8\n" - "adcq %%rdx,%%r9\n" - /* d >>= 52 */ - "shrdq $52,%%r15,%%rcx\n" - "xorq %%r15,%%r15\n" - /* r[1] = c & M */ - "movq %%r8,%%rax\n" - "movq $0xfffffffffffff,%%rdx\n" - "andq %%rdx,%%rax\n" - "movq %%rax,8(%%rdi)\n" - /* c >>= 52 */ - "shrdq $52,%%r9,%%r8\n" - "xorq %%r9,%%r9\n" - /* c += a2 * b0 */ - "movq 0(%%rbx),%%rax\n" - "mulq %%r12\n" - "addq %%rax,%%r8\n" - "adcq %%rdx,%%r9\n" - /* c += a1 * b1 */ - "movq 8(%%rbx),%%rax\n" - "mulq %%r11\n" - "addq %%rax,%%r8\n" - "adcq %%rdx,%%r9\n" - /* c += a0 * b2 (last use of %%r10 = a0) */ - "movq 16(%%rbx),%%rax\n" - "mulq %%r10\n" - "addq %%rax,%%r8\n" - "adcq %%rdx,%%r9\n" - /* fetch t3 (%%r10, overwrites a0), t4 (%%rsi) */ - "movq %q2,%%rsi\n" - "movq %q1,%%r10\n" - /* d += a4 * b3 */ - "movq 24(%%rbx),%%rax\n" - "mulq %%r14\n" - "addq %%rax,%%rcx\n" - "adcq %%rdx,%%r15\n" - /* d += a3 * b4 */ - "movq 32(%%rbx),%%rax\n" - "mulq %%r13\n" - "addq %%rax,%%rcx\n" - "adcq %%rdx,%%r15\n" - /* c += (d & M) * R */ - "movq %%rcx,%%rax\n" - "movq $0xfffffffffffff,%%rdx\n" - "andq %%rdx,%%rax\n" - "movq $0x1000003d10,%%rdx\n" - "mulq %%rdx\n" - "addq %%rax,%%r8\n" - "adcq %%rdx,%%r9\n" - /* d >>= 52 (%%rcx only) */ - "shrdq $52,%%r15,%%rcx\n" - /* r[2] = c & M */ - "movq %%r8,%%rax\n" - "movq $0xfffffffffffff,%%rdx\n" - "andq %%rdx,%%rax\n" - "movq %%rax,16(%%rdi)\n" - /* c >>= 52 */ - "shrdq $52,%%r9,%%r8\n" - "xorq %%r9,%%r9\n" - /* c += t3 */ - "addq %%r10,%%r8\n" - /* c += d * R */ - "movq %%rcx,%%rax\n" - "movq $0x1000003d10,%%rdx\n" - "mulq %%rdx\n" - "addq %%rax,%%r8\n" - "adcq %%rdx,%%r9\n" - /* r[3] = c & M */ - "movq %%r8,%%rax\n" - "movq $0xfffffffffffff,%%rdx\n" - "andq %%rdx,%%rax\n" - "movq %%rax,24(%%rdi)\n" - /* c >>= 52 (%%r8 only) */ - "shrdq $52,%%r9,%%r8\n" - /* c += t4 (%%r8 only) */ - "addq %%rsi,%%r8\n" - /* r[4] = c */ - "movq %%r8,32(%%rdi)\n" -: "+S"(a), "=m"(tmp1), "=m"(tmp2), "=m"(tmp3) -: "b"(b), "D"(r) -: "%rax", "%rcx", "%rdx", "%r8", "%r9", "%r10", "%r11", "%r12", "%r13", "%r14", "%r15", "cc", "memory" -); -} - -SECP256K1_INLINE static void secp256k1_fe_sqr_inner(uint64_t *r, const uint64_t *a) { -/** - * Registers: rdx:rax = multiplication accumulator - * r9:r8 = c - * rcx:rbx = d - * r10-r14 = a0-a4 - * r15 = M (0xfffffffffffff) - * rdi = r - * rsi = a / t? - */ - uint64_t tmp1, tmp2, tmp3; -__asm__ __volatile__( - "movq 0(%%rsi),%%r10\n" - "movq 8(%%rsi),%%r11\n" - "movq 16(%%rsi),%%r12\n" - "movq 24(%%rsi),%%r13\n" - "movq 32(%%rsi),%%r14\n" - "movq $0xfffffffffffff,%%r15\n" - - /* d = (a0*2) * a3 */ - "leaq (%%r10,%%r10,1),%%rax\n" - "mulq %%r13\n" - "movq %%rax,%%rbx\n" - "movq %%rdx,%%rcx\n" - /* d += (a1*2) * a2 */ - "leaq (%%r11,%%r11,1),%%rax\n" - "mulq %%r12\n" - "addq %%rax,%%rbx\n" - "adcq %%rdx,%%rcx\n" - /* c = a4 * a4 */ - "movq %%r14,%%rax\n" - "mulq %%r14\n" - "movq %%rax,%%r8\n" - "movq %%rdx,%%r9\n" - /* d += (c & M) * R */ - "andq %%r15,%%rax\n" - "movq $0x1000003d10,%%rdx\n" - "mulq %%rdx\n" - "addq %%rax,%%rbx\n" - "adcq %%rdx,%%rcx\n" - /* c >>= 52 (%%r8 only) */ - "shrdq $52,%%r9,%%r8\n" - /* t3 (tmp1) = d & M */ - "movq %%rbx,%%rsi\n" - "andq %%r15,%%rsi\n" - "movq %%rsi,%q1\n" - /* d >>= 52 */ - "shrdq $52,%%rcx,%%rbx\n" - "xorq %%rcx,%%rcx\n" - /* a4 *= 2 */ - "addq %%r14,%%r14\n" - /* d += a0 * a4 */ - "movq %%r10,%%rax\n" - "mulq %%r14\n" - "addq %%rax,%%rbx\n" - "adcq %%rdx,%%rcx\n" - /* d+= (a1*2) * a3 */ - "leaq (%%r11,%%r11,1),%%rax\n" - "mulq %%r13\n" - "addq %%rax,%%rbx\n" - "adcq %%rdx,%%rcx\n" - /* d += a2 * a2 */ - "movq %%r12,%%rax\n" - "mulq %%r12\n" - "addq %%rax,%%rbx\n" - "adcq %%rdx,%%rcx\n" - /* d += c * R */ - "movq %%r8,%%rax\n" - "movq $0x1000003d10,%%rdx\n" - "mulq %%rdx\n" - "addq %%rax,%%rbx\n" - "adcq %%rdx,%%rcx\n" - /* t4 = d & M (%%rsi) */ - "movq %%rbx,%%rsi\n" - "andq %%r15,%%rsi\n" - /* d >>= 52 */ - "shrdq $52,%%rcx,%%rbx\n" - "xorq %%rcx,%%rcx\n" - /* tx = t4 >> 48 (tmp3) */ - "movq %%rsi,%%rax\n" - "shrq $48,%%rax\n" - "movq %%rax,%q3\n" - /* t4 &= (M >> 4) (tmp2) */ - "movq $0xffffffffffff,%%rax\n" - "andq %%rax,%%rsi\n" - "movq %%rsi,%q2\n" - /* c = a0 * a0 */ - "movq %%r10,%%rax\n" - "mulq %%r10\n" - "movq %%rax,%%r8\n" - "movq %%rdx,%%r9\n" - /* d += a1 * a4 */ - "movq %%r11,%%rax\n" - "mulq %%r14\n" - "addq %%rax,%%rbx\n" - "adcq %%rdx,%%rcx\n" - /* d += (a2*2) * a3 */ - "leaq (%%r12,%%r12,1),%%rax\n" - "mulq %%r13\n" - "addq %%rax,%%rbx\n" - "adcq %%rdx,%%rcx\n" - /* u0 = d & M (%%rsi) */ - "movq %%rbx,%%rsi\n" - "andq %%r15,%%rsi\n" - /* d >>= 52 */ - "shrdq $52,%%rcx,%%rbx\n" - "xorq %%rcx,%%rcx\n" - /* u0 = (u0 << 4) | tx (%%rsi) */ - "shlq $4,%%rsi\n" - "movq %q3,%%rax\n" - "orq %%rax,%%rsi\n" - /* c += u0 * (R >> 4) */ - "movq $0x1000003d1,%%rax\n" - "mulq %%rsi\n" - "addq %%rax,%%r8\n" - "adcq %%rdx,%%r9\n" - /* r[0] = c & M */ - "movq %%r8,%%rax\n" - "andq %%r15,%%rax\n" - "movq %%rax,0(%%rdi)\n" - /* c >>= 52 */ - "shrdq $52,%%r9,%%r8\n" - "xorq %%r9,%%r9\n" - /* a0 *= 2 */ - "addq %%r10,%%r10\n" - /* c += a0 * a1 */ - "movq %%r10,%%rax\n" - "mulq %%r11\n" - "addq %%rax,%%r8\n" - "adcq %%rdx,%%r9\n" - /* d += a2 * a4 */ - "movq %%r12,%%rax\n" - "mulq %%r14\n" - "addq %%rax,%%rbx\n" - "adcq %%rdx,%%rcx\n" - /* d += a3 * a3 */ - "movq %%r13,%%rax\n" - "mulq %%r13\n" - "addq %%rax,%%rbx\n" - "adcq %%rdx,%%rcx\n" - /* c += (d & M) * R */ - "movq %%rbx,%%rax\n" - "andq %%r15,%%rax\n" - "movq $0x1000003d10,%%rdx\n" - "mulq %%rdx\n" - "addq %%rax,%%r8\n" - "adcq %%rdx,%%r9\n" - /* d >>= 52 */ - "shrdq $52,%%rcx,%%rbx\n" - "xorq %%rcx,%%rcx\n" - /* r[1] = c & M */ - "movq %%r8,%%rax\n" - "andq %%r15,%%rax\n" - "movq %%rax,8(%%rdi)\n" - /* c >>= 52 */ - "shrdq $52,%%r9,%%r8\n" - "xorq %%r9,%%r9\n" - /* c += a0 * a2 (last use of %%r10) */ - "movq %%r10,%%rax\n" - "mulq %%r12\n" - "addq %%rax,%%r8\n" - "adcq %%rdx,%%r9\n" - /* fetch t3 (%%r10, overwrites a0),t4 (%%rsi) */ - "movq %q2,%%rsi\n" - "movq %q1,%%r10\n" - /* c += a1 * a1 */ - "movq %%r11,%%rax\n" - "mulq %%r11\n" - "addq %%rax,%%r8\n" - "adcq %%rdx,%%r9\n" - /* d += a3 * a4 */ - "movq %%r13,%%rax\n" - "mulq %%r14\n" - "addq %%rax,%%rbx\n" - "adcq %%rdx,%%rcx\n" - /* c += (d & M) * R */ - "movq %%rbx,%%rax\n" - "andq %%r15,%%rax\n" - "movq $0x1000003d10,%%rdx\n" - "mulq %%rdx\n" - "addq %%rax,%%r8\n" - "adcq %%rdx,%%r9\n" - /* d >>= 52 (%%rbx only) */ - "shrdq $52,%%rcx,%%rbx\n" - /* r[2] = c & M */ - "movq %%r8,%%rax\n" - "andq %%r15,%%rax\n" - "movq %%rax,16(%%rdi)\n" - /* c >>= 52 */ - "shrdq $52,%%r9,%%r8\n" - "xorq %%r9,%%r9\n" - /* c += t3 */ - "addq %%r10,%%r8\n" - /* c += d * R */ - "movq %%rbx,%%rax\n" - "movq $0x1000003d10,%%rdx\n" - "mulq %%rdx\n" - "addq %%rax,%%r8\n" - "adcq %%rdx,%%r9\n" - /* r[3] = c & M */ - "movq %%r8,%%rax\n" - "andq %%r15,%%rax\n" - "movq %%rax,24(%%rdi)\n" - /* c >>= 52 (%%r8 only) */ - "shrdq $52,%%r9,%%r8\n" - /* c += t4 (%%r8 only) */ - "addq %%rsi,%%r8\n" - /* r[4] = c */ - "movq %%r8,32(%%rdi)\n" -: "+S"(a), "=m"(tmp1), "=m"(tmp2), "=m"(tmp3) -: "D"(r) -: "%rax", "%rbx", "%rcx", "%rdx", "%r8", "%r9", "%r10", "%r11", "%r12", "%r13", "%r14", "%r15", "cc", "memory" -); -} - -#endif /* SECP256K1_FIELD_INNER5X52_IMPL_H */ diff --git a/src/field_5x52_impl.h b/src/field_5x52_impl.h index 4c4466eceb..46dca6b981 100644 --- a/src/field_5x52_impl.h +++ b/src/field_5x52_impl.h @@ -12,65 +12,35 @@ #include "field.h" #include "modinv64_impl.h" -#if defined(USE_ASM_X86_64) -#include "field_5x52_asm_impl.h" -#else #include "field_5x52_int128_impl.h" -#endif - -/** Implements arithmetic modulo FFFFFFFF FFFFFFFF FFFFFFFF FFFFFFFF FFFFFFFF FFFFFFFF FFFFFFFE FFFFFC2F, - * represented as 5 uint64_t's in base 2^52, least significant first. Note that the limbs are allowed to - * contain >52 bits each. - * - * Each field element has a 'magnitude' associated with it. Internally, a magnitude M means: - * - 2*M*(2^48-1) is the max (inclusive) of the most significant limb - * - 2*M*(2^52-1) is the max (inclusive) of the remaining limbs - * - * Operations have different rules for propagating magnitude to their outputs. If an operation takes a - * magnitude M as a parameter, that means the magnitude of input field elements can be at most M (inclusive). - * - * Each field element also has a 'normalized' flag. A field element is normalized if its magnitude is either - * 0 or 1, and its value is already reduced modulo the order of the field. - */ #ifdef VERIFY -static void secp256k1_fe_verify(const secp256k1_fe *a) { +static void secp256k1_fe_impl_verify(const secp256k1_fe *a) { const uint64_t *d = a->n; - int m = a->normalized ? 1 : 2 * a->magnitude, r = 1; + int m = a->normalized ? 1 : 2 * a->magnitude; /* secp256k1 'p' value defined in "Standards for Efficient Cryptography" (SEC2) 2.7.1. */ - r &= (d[0] <= 0xFFFFFFFFFFFFFULL * m); - r &= (d[1] <= 0xFFFFFFFFFFFFFULL * m); - r &= (d[2] <= 0xFFFFFFFFFFFFFULL * m); - r &= (d[3] <= 0xFFFFFFFFFFFFFULL * m); - r &= (d[4] <= 0x0FFFFFFFFFFFFULL * m); - r &= (a->magnitude >= 0); - r &= (a->magnitude <= 2048); + VERIFY_CHECK(d[0] <= 0xFFFFFFFFFFFFFULL * m); + VERIFY_CHECK(d[1] <= 0xFFFFFFFFFFFFFULL * m); + VERIFY_CHECK(d[2] <= 0xFFFFFFFFFFFFFULL * m); + VERIFY_CHECK(d[3] <= 0xFFFFFFFFFFFFFULL * m); + VERIFY_CHECK(d[4] <= 0x0FFFFFFFFFFFFULL * m); if (a->normalized) { - r &= (a->magnitude <= 1); - if (r && (d[4] == 0x0FFFFFFFFFFFFULL) && ((d[3] & d[2] & d[1]) == 0xFFFFFFFFFFFFFULL)) { - r &= (d[0] < 0xFFFFEFFFFFC2FULL); + if ((d[4] == 0x0FFFFFFFFFFFFULL) && ((d[3] & d[2] & d[1]) == 0xFFFFFFFFFFFFFULL)) { + VERIFY_CHECK(d[0] < 0xFFFFEFFFFFC2FULL); } } - VERIFY_CHECK(r == 1); } #endif -static void secp256k1_fe_get_bounds(secp256k1_fe *r, int m) { - VERIFY_CHECK(m >= 0); - VERIFY_CHECK(m <= 2048); +static void secp256k1_fe_impl_get_bounds(secp256k1_fe *r, int m) { r->n[0] = 0xFFFFFFFFFFFFFULL * 2 * m; r->n[1] = 0xFFFFFFFFFFFFFULL * 2 * m; r->n[2] = 0xFFFFFFFFFFFFFULL * 2 * m; r->n[3] = 0xFFFFFFFFFFFFFULL * 2 * m; r->n[4] = 0x0FFFFFFFFFFFFULL * 2 * m; -#ifdef VERIFY - r->magnitude = m; - r->normalized = (m == 0); - secp256k1_fe_verify(r); -#endif } -static void secp256k1_fe_normalize(secp256k1_fe *r) { +static void secp256k1_fe_impl_normalize(secp256k1_fe *r) { uint64_t t0 = r->n[0], t1 = r->n[1], t2 = r->n[2], t3 = r->n[3], t4 = r->n[4]; /* Reduce t4 at the start so there will be at most a single carry from the first pass */ @@ -105,15 +75,9 @@ static void secp256k1_fe_normalize(secp256k1_fe *r) { t4 &= 0x0FFFFFFFFFFFFULL; r->n[0] = t0; r->n[1] = t1; r->n[2] = t2; r->n[3] = t3; r->n[4] = t4; - -#ifdef VERIFY - r->magnitude = 1; - r->normalized = 1; - secp256k1_fe_verify(r); -#endif } -static void secp256k1_fe_normalize_weak(secp256k1_fe *r) { +static void secp256k1_fe_impl_normalize_weak(secp256k1_fe *r) { uint64_t t0 = r->n[0], t1 = r->n[1], t2 = r->n[2], t3 = r->n[3], t4 = r->n[4]; /* Reduce t4 at the start so there will be at most a single carry from the first pass */ @@ -130,14 +94,9 @@ static void secp256k1_fe_normalize_weak(secp256k1_fe *r) { VERIFY_CHECK(t4 >> 49 == 0); r->n[0] = t0; r->n[1] = t1; r->n[2] = t2; r->n[3] = t3; r->n[4] = t4; - -#ifdef VERIFY - r->magnitude = 1; - secp256k1_fe_verify(r); -#endif } -static void secp256k1_fe_normalize_var(secp256k1_fe *r) { +static void secp256k1_fe_impl_normalize_var(secp256k1_fe *r) { uint64_t t0 = r->n[0], t1 = r->n[1], t2 = r->n[2], t3 = r->n[3], t4 = r->n[4]; /* Reduce t4 at the start so there will be at most a single carry from the first pass */ @@ -173,15 +132,9 @@ static void secp256k1_fe_normalize_var(secp256k1_fe *r) { } r->n[0] = t0; r->n[1] = t1; r->n[2] = t2; r->n[3] = t3; r->n[4] = t4; - -#ifdef VERIFY - r->magnitude = 1; - r->normalized = 1; - secp256k1_fe_verify(r); -#endif } -static int secp256k1_fe_normalizes_to_zero(const secp256k1_fe *r) { +static int secp256k1_fe_impl_normalizes_to_zero(const secp256k1_fe *r) { uint64_t t0 = r->n[0], t1 = r->n[1], t2 = r->n[2], t3 = r->n[3], t4 = r->n[4]; /* z0 tracks a possible raw value of 0, z1 tracks a possible raw value of P */ @@ -204,7 +157,7 @@ static int secp256k1_fe_normalizes_to_zero(const secp256k1_fe *r) { return (z0 == 0) | (z1 == 0xFFFFFFFFFFFFFULL); } -static int secp256k1_fe_normalizes_to_zero_var(const secp256k1_fe *r) { +static int secp256k1_fe_impl_normalizes_to_zero_var(const secp256k1_fe *r) { uint64_t t0, t1, t2, t3, t4; uint64_t z0, z1; uint64_t x; @@ -245,53 +198,22 @@ static int secp256k1_fe_normalizes_to_zero_var(const secp256k1_fe *r) { return (z0 == 0) | (z1 == 0xFFFFFFFFFFFFFULL); } -SECP256K1_INLINE static void secp256k1_fe_set_int(secp256k1_fe *r, int a) { - VERIFY_CHECK(0 <= a && a <= 0x7FFF); +SECP256K1_INLINE static void secp256k1_fe_impl_set_int(secp256k1_fe *r, int a) { r->n[0] = a; r->n[1] = r->n[2] = r->n[3] = r->n[4] = 0; -#ifdef VERIFY - r->magnitude = (a != 0); - r->normalized = 1; - secp256k1_fe_verify(r); -#endif } -SECP256K1_INLINE static int secp256k1_fe_is_zero(const secp256k1_fe *a) { +SECP256K1_INLINE static int secp256k1_fe_impl_is_zero(const secp256k1_fe *a) { const uint64_t *t = a->n; -#ifdef VERIFY - VERIFY_CHECK(a->normalized); - secp256k1_fe_verify(a); -#endif return (t[0] | t[1] | t[2] | t[3] | t[4]) == 0; } -SECP256K1_INLINE static int secp256k1_fe_is_odd(const secp256k1_fe *a) { -#ifdef VERIFY - VERIFY_CHECK(a->normalized); - secp256k1_fe_verify(a); -#endif +SECP256K1_INLINE static int secp256k1_fe_impl_is_odd(const secp256k1_fe *a) { return a->n[0] & 1; } -SECP256K1_INLINE static void secp256k1_fe_clear(secp256k1_fe *a) { +static int secp256k1_fe_impl_cmp_var(const secp256k1_fe *a, const secp256k1_fe *b) { int i; -#ifdef VERIFY - a->magnitude = 0; - a->normalized = 1; -#endif - for (i=0; i<5; i++) { - a->n[i] = 0; - } -} - -static int secp256k1_fe_cmp_var(const secp256k1_fe *a, const secp256k1_fe *b) { - int i; -#ifdef VERIFY - VERIFY_CHECK(a->normalized); - VERIFY_CHECK(b->normalized); - secp256k1_fe_verify(a); - secp256k1_fe_verify(b); -#endif for (i = 4; i >= 0; i--) { if (a->n[i] > b->n[i]) { return 1; @@ -303,8 +225,7 @@ static int secp256k1_fe_cmp_var(const secp256k1_fe *a, const secp256k1_fe *b) { return 0; } -static int secp256k1_fe_set_b32(secp256k1_fe *r, const unsigned char *a) { - int ret; +static void secp256k1_fe_impl_set_b32_mod(secp256k1_fe *r, const unsigned char *a) { r->n[0] = (uint64_t)a[31] | ((uint64_t)a[30] << 8) | ((uint64_t)a[29] << 16) @@ -339,25 +260,15 @@ static int secp256k1_fe_set_b32(secp256k1_fe *r, const unsigned char *a) { | ((uint64_t)a[2] << 24) | ((uint64_t)a[1] << 32) | ((uint64_t)a[0] << 40); - ret = !((r->n[4] == 0x0FFFFFFFFFFFFULL) & ((r->n[3] & r->n[2] & r->n[1]) == 0xFFFFFFFFFFFFFULL) & (r->n[0] >= 0xFFFFEFFFFFC2FULL)); -#ifdef VERIFY - r->magnitude = 1; - if (ret) { - r->normalized = 1; - secp256k1_fe_verify(r); - } else { - r->normalized = 0; - } -#endif - return ret; +} + +static int secp256k1_fe_impl_set_b32_limit(secp256k1_fe *r, const unsigned char *a) { + secp256k1_fe_impl_set_b32_mod(r, a); + return !((r->n[4] == 0x0FFFFFFFFFFFFULL) & ((r->n[3] & r->n[2] & r->n[1]) == 0xFFFFFFFFFFFFFULL) & (r->n[0] >= 0xFFFFEFFFFFC2FULL)); } /** Convert a field element to a 32-byte big endian value. Requires the input to be normalized */ -static void secp256k1_fe_get_b32(unsigned char *r, const secp256k1_fe *a) { -#ifdef VERIFY - VERIFY_CHECK(a->normalized); - secp256k1_fe_verify(a); -#endif +static void secp256k1_fe_impl_get_b32(unsigned char *r, const secp256k1_fe *a) { r[0] = (a->n[4] >> 40) & 0xFF; r[1] = (a->n[4] >> 32) & 0xFF; r[2] = (a->n[4] >> 24) & 0xFF; @@ -392,127 +303,67 @@ static void secp256k1_fe_get_b32(unsigned char *r, const secp256k1_fe *a) { r[31] = a->n[0] & 0xFF; } -SECP256K1_INLINE static void secp256k1_fe_negate(secp256k1_fe *r, const secp256k1_fe *a, int m) { -#ifdef VERIFY - VERIFY_CHECK(a->magnitude <= m); - secp256k1_fe_verify(a); +SECP256K1_INLINE static void secp256k1_fe_impl_negate_unchecked(secp256k1_fe *r, const secp256k1_fe *a, int m) { + /* For all legal values of m (0..31), the following properties hold: */ VERIFY_CHECK(0xFFFFEFFFFFC2FULL * 2 * (m + 1) >= 0xFFFFFFFFFFFFFULL * 2 * m); VERIFY_CHECK(0xFFFFFFFFFFFFFULL * 2 * (m + 1) >= 0xFFFFFFFFFFFFFULL * 2 * m); VERIFY_CHECK(0x0FFFFFFFFFFFFULL * 2 * (m + 1) >= 0x0FFFFFFFFFFFFULL * 2 * m); -#endif + + /* Due to the properties above, the left hand in the subtractions below is never less than + * the right hand. */ r->n[0] = 0xFFFFEFFFFFC2FULL * 2 * (m + 1) - a->n[0]; r->n[1] = 0xFFFFFFFFFFFFFULL * 2 * (m + 1) - a->n[1]; r->n[2] = 0xFFFFFFFFFFFFFULL * 2 * (m + 1) - a->n[2]; r->n[3] = 0xFFFFFFFFFFFFFULL * 2 * (m + 1) - a->n[3]; r->n[4] = 0x0FFFFFFFFFFFFULL * 2 * (m + 1) - a->n[4]; -#ifdef VERIFY - r->magnitude = m + 1; - r->normalized = 0; - secp256k1_fe_verify(r); -#endif } -SECP256K1_INLINE static void secp256k1_fe_mul_int(secp256k1_fe *r, int a) { +SECP256K1_INLINE static void secp256k1_fe_impl_mul_int_unchecked(secp256k1_fe *r, int a) { r->n[0] *= a; r->n[1] *= a; r->n[2] *= a; r->n[3] *= a; r->n[4] *= a; -#ifdef VERIFY - r->magnitude *= a; - r->normalized = 0; - secp256k1_fe_verify(r); -#endif } -SECP256K1_INLINE static void secp256k1_fe_add_int(secp256k1_fe *r, int a) { -#ifdef VERIFY - secp256k1_fe_verify(r); - VERIFY_CHECK(a >= 0); - VERIFY_CHECK(a <= 0x7FFF); -#endif +SECP256K1_INLINE static void secp256k1_fe_impl_add_int(secp256k1_fe *r, int a) { r->n[0] += a; -#ifdef VERIFY - r->magnitude += 1; - r->normalized = 0; - secp256k1_fe_verify(r); -#endif } -SECP256K1_INLINE static void secp256k1_fe_add(secp256k1_fe *r, const secp256k1_fe *a) { -#ifdef VERIFY - secp256k1_fe_verify(a); -#endif +SECP256K1_INLINE static void secp256k1_fe_impl_add(secp256k1_fe *r, const secp256k1_fe *a) { r->n[0] += a->n[0]; r->n[1] += a->n[1]; r->n[2] += a->n[2]; r->n[3] += a->n[3]; r->n[4] += a->n[4]; -#ifdef VERIFY - r->magnitude += a->magnitude; - r->normalized = 0; - secp256k1_fe_verify(r); -#endif } -static void secp256k1_fe_mul(secp256k1_fe *r, const secp256k1_fe *a, const secp256k1_fe * SECP256K1_RESTRICT b) { -#ifdef VERIFY - VERIFY_CHECK(a->magnitude <= 8); - VERIFY_CHECK(b->magnitude <= 8); - secp256k1_fe_verify(a); - secp256k1_fe_verify(b); - VERIFY_CHECK(r != b); - VERIFY_CHECK(a != b); -#endif +SECP256K1_INLINE static void secp256k1_fe_impl_mul(secp256k1_fe *r, const secp256k1_fe *a, const secp256k1_fe * SECP256K1_RESTRICT b) { secp256k1_fe_mul_inner(r->n, a->n, b->n); -#ifdef VERIFY - r->magnitude = 1; - r->normalized = 0; - secp256k1_fe_verify(r); -#endif } -static void secp256k1_fe_sqr(secp256k1_fe *r, const secp256k1_fe *a) { -#ifdef VERIFY - VERIFY_CHECK(a->magnitude <= 8); - secp256k1_fe_verify(a); -#endif +SECP256K1_INLINE static void secp256k1_fe_impl_sqr(secp256k1_fe *r, const secp256k1_fe *a) { secp256k1_fe_sqr_inner(r->n, a->n); -#ifdef VERIFY - r->magnitude = 1; - r->normalized = 0; - secp256k1_fe_verify(r); -#endif } -static SECP256K1_INLINE void secp256k1_fe_cmov(secp256k1_fe *r, const secp256k1_fe *a, int flag) { +SECP256K1_INLINE static void secp256k1_fe_impl_cmov(secp256k1_fe *r, const secp256k1_fe *a, int flag) { uint64_t mask0, mask1; + volatile int vflag = flag; SECP256K1_CHECKMEM_CHECK_VERIFY(r->n, sizeof(r->n)); - mask0 = flag + ~((uint64_t)0); + mask0 = vflag + ~((uint64_t)0); mask1 = ~mask0; r->n[0] = (r->n[0] & mask0) | (a->n[0] & mask1); r->n[1] = (r->n[1] & mask0) | (a->n[1] & mask1); r->n[2] = (r->n[2] & mask0) | (a->n[2] & mask1); r->n[3] = (r->n[3] & mask0) | (a->n[3] & mask1); r->n[4] = (r->n[4] & mask0) | (a->n[4] & mask1); -#ifdef VERIFY - if (flag) { - r->magnitude = a->magnitude; - r->normalized = a->normalized; - } -#endif } -static SECP256K1_INLINE void secp256k1_fe_half(secp256k1_fe *r) { +static SECP256K1_INLINE void secp256k1_fe_impl_half(secp256k1_fe *r) { uint64_t t0 = r->n[0], t1 = r->n[1], t2 = r->n[2], t3 = r->n[3], t4 = r->n[4]; uint64_t one = (uint64_t)1; uint64_t mask = -(t0 & one) >> 12; -#ifdef VERIFY - secp256k1_fe_verify(r); - VERIFY_CHECK(r->magnitude < 32); -#endif - /* Bounds analysis (over the rationals). * * Let m = r->magnitude @@ -549,10 +400,8 @@ static SECP256K1_INLINE void secp256k1_fe_half(secp256k1_fe *r) { * * Current bounds: t0..t3 <= C * (m/2 + 1/2) * t4 <= D * (m/2 + 1/4) - */ - -#ifdef VERIFY - /* Therefore the output magnitude (M) has to be set such that: + * + * Therefore the output magnitude (M) has to be set such that: * t0..t3: C * M >= C * (m/2 + 1/2) * t4: D * M >= D * (m/2 + 1/4) * @@ -562,16 +411,13 @@ static SECP256K1_INLINE void secp256k1_fe_half(secp256k1_fe *r) { * and since we want the smallest such integer value for M: * M == floor(m/2) + 1 */ - r->magnitude = (r->magnitude >> 1) + 1; - r->normalized = 0; - secp256k1_fe_verify(r); -#endif } static SECP256K1_INLINE void secp256k1_fe_storage_cmov(secp256k1_fe_storage *r, const secp256k1_fe_storage *a, int flag) { uint64_t mask0, mask1; + volatile int vflag = flag; SECP256K1_CHECKMEM_CHECK_VERIFY(r->n, sizeof(r->n)); - mask0 = flag + ~((uint64_t)0); + mask0 = vflag + ~((uint64_t)0); mask1 = ~mask0; r->n[0] = (r->n[0] & mask0) | (a->n[0] & mask1); r->n[1] = (r->n[1] & mask0) | (a->n[1] & mask1); @@ -579,27 +425,19 @@ static SECP256K1_INLINE void secp256k1_fe_storage_cmov(secp256k1_fe_storage *r, r->n[3] = (r->n[3] & mask0) | (a->n[3] & mask1); } -static void secp256k1_fe_to_storage(secp256k1_fe_storage *r, const secp256k1_fe *a) { -#ifdef VERIFY - VERIFY_CHECK(a->normalized); -#endif +static void secp256k1_fe_impl_to_storage(secp256k1_fe_storage *r, const secp256k1_fe *a) { r->n[0] = a->n[0] | a->n[1] << 52; r->n[1] = a->n[1] >> 12 | a->n[2] << 40; r->n[2] = a->n[2] >> 24 | a->n[3] << 28; r->n[3] = a->n[3] >> 36 | a->n[4] << 16; } -static SECP256K1_INLINE void secp256k1_fe_from_storage(secp256k1_fe *r, const secp256k1_fe_storage *a) { +static SECP256K1_INLINE void secp256k1_fe_impl_from_storage(secp256k1_fe *r, const secp256k1_fe_storage *a) { r->n[0] = a->n[0] & 0xFFFFFFFFFFFFFULL; r->n[1] = a->n[0] >> 52 | ((a->n[1] << 12) & 0xFFFFFFFFFFFFFULL); r->n[2] = a->n[1] >> 40 | ((a->n[2] << 24) & 0xFFFFFFFFFFFFFULL); r->n[3] = a->n[2] >> 28 | ((a->n[3] << 36) & 0xFFFFFFFFFFFFFULL); r->n[4] = a->n[3] >> 16; -#ifdef VERIFY - r->magnitude = 1; - r->normalized = 1; - secp256k1_fe_verify(r); -#endif } static void secp256k1_fe_from_signed62(secp256k1_fe *r, const secp256k1_modinv64_signed62 *a) { @@ -620,22 +458,12 @@ static void secp256k1_fe_from_signed62(secp256k1_fe *r, const secp256k1_modinv64 r->n[2] = (a1 >> 42 | a2 << 20) & M52; r->n[3] = (a2 >> 32 | a3 << 30) & M52; r->n[4] = (a3 >> 22 | a4 << 40); - -#ifdef VERIFY - r->magnitude = 1; - r->normalized = 1; - secp256k1_fe_verify(r); -#endif } static void secp256k1_fe_to_signed62(secp256k1_modinv64_signed62 *r, const secp256k1_fe *a) { const uint64_t M62 = UINT64_MAX >> 2; const uint64_t a0 = a->n[0], a1 = a->n[1], a2 = a->n[2], a3 = a->n[3], a4 = a->n[4]; -#ifdef VERIFY - VERIFY_CHECK(a->normalized); -#endif - r->v[0] = (a0 | a1 << 52) & M62; r->v[1] = (a1 >> 10 | a2 << 42) & M62; r->v[2] = (a2 >> 20 | a3 << 32) & M62; @@ -648,37 +476,27 @@ static const secp256k1_modinv64_modinfo secp256k1_const_modinfo_fe = { 0x27C7F6E22DDACACFLL }; -static void secp256k1_fe_inv(secp256k1_fe *r, const secp256k1_fe *x) { - secp256k1_fe tmp; +static void secp256k1_fe_impl_inv(secp256k1_fe *r, const secp256k1_fe *x) { + secp256k1_fe tmp = *x; secp256k1_modinv64_signed62 s; - tmp = *x; secp256k1_fe_normalize(&tmp); secp256k1_fe_to_signed62(&s, &tmp); secp256k1_modinv64(&s, &secp256k1_const_modinfo_fe); secp256k1_fe_from_signed62(r, &s); - -#ifdef VERIFY - VERIFY_CHECK(secp256k1_fe_normalizes_to_zero(r) == secp256k1_fe_normalizes_to_zero(&tmp)); -#endif } -static void secp256k1_fe_inv_var(secp256k1_fe *r, const secp256k1_fe *x) { - secp256k1_fe tmp; +static void secp256k1_fe_impl_inv_var(secp256k1_fe *r, const secp256k1_fe *x) { + secp256k1_fe tmp = *x; secp256k1_modinv64_signed62 s; - tmp = *x; secp256k1_fe_normalize_var(&tmp); secp256k1_fe_to_signed62(&s, &tmp); secp256k1_modinv64_var(&s, &secp256k1_const_modinfo_fe); secp256k1_fe_from_signed62(r, &s); - -#ifdef VERIFY - VERIFY_CHECK(secp256k1_fe_normalizes_to_zero(r) == secp256k1_fe_normalizes_to_zero(&tmp)); -#endif } -static int secp256k1_fe_is_square_var(const secp256k1_fe *x) { +static int secp256k1_fe_impl_is_square_var(const secp256k1_fe *x) { secp256k1_fe tmp; secp256k1_modinv64_signed62 s; int jac, ret; @@ -696,10 +514,6 @@ static int secp256k1_fe_is_square_var(const secp256k1_fe *x) { secp256k1_fe dummy; ret = secp256k1_fe_sqrt(&dummy, &tmp); } else { -#ifdef VERIFY - secp256k1_fe dummy; - VERIFY_CHECK(jac == 2*secp256k1_fe_sqrt(&dummy, &tmp) - 1); -#endif ret = jac >= 0; } return ret; diff --git a/src/field_5x52_int128_impl.h b/src/field_5x52_int128_impl.h index 18567b95f3..f23f8ee1c4 100644 --- a/src/field_5x52_int128_impl.h +++ b/src/field_5x52_int128_impl.h @@ -10,14 +10,10 @@ #include #include "int128.h" +#include "util.h" -#ifdef VERIFY #define VERIFY_BITS(x, n) VERIFY_CHECK(((x) >> (n)) == 0) #define VERIFY_BITS_128(x, n) VERIFY_CHECK(secp256k1_u128_check_bits((x), (n))) -#else -#define VERIFY_BITS(x, n) do { } while(0) -#define VERIFY_BITS_128(x, n) do { } while(0) -#endif SECP256K1_INLINE static void secp256k1_fe_mul_inner(uint64_t *r, const uint64_t *a, const uint64_t * SECP256K1_RESTRICT b) { secp256k1_uint128 c, d; @@ -88,18 +84,18 @@ SECP256K1_INLINE static void secp256k1_fe_mul_inner(uint64_t *r, const uint64_t secp256k1_u128_accum_mul(&d, a2, b[3]); secp256k1_u128_accum_mul(&d, a3, b[2]); secp256k1_u128_accum_mul(&d, a4, b[1]); - VERIFY_BITS_128(&d, 115); + VERIFY_BITS_128(&d, 114); /* [d t4+(tx<<48) t3 0 0 c] = [p8 0 0 p5 p4 p3 0 0 p0] */ u0 = secp256k1_u128_to_u64(&d) & M; secp256k1_u128_rshift(&d, 52); VERIFY_BITS(u0, 52); - VERIFY_BITS_128(&d, 63); + VERIFY_BITS_128(&d, 62); /* [d u0 t4+(tx<<48) t3 0 0 c] = [p8 0 0 p5 p4 p3 0 0 p0] */ /* [d 0 t4+(tx<<48)+(u0<<52) t3 0 0 c] = [p8 0 0 p5 p4 p3 0 0 p0] */ u0 = (u0 << 4) | tx; VERIFY_BITS(u0, 56); /* [d 0 t4+(u0<<48) t3 0 0 c] = [p8 0 0 p5 p4 p3 0 0 p0] */ secp256k1_u128_accum_mul(&c, u0, R >> 4); - VERIFY_BITS_128(&c, 115); + VERIFY_BITS_128(&c, 113); /* [d 0 t4 t3 0 0 c] = [p8 0 0 p5 p4 p3 0 0 p0] */ r[0] = secp256k1_u128_to_u64(&c) & M; secp256k1_u128_rshift(&c, 52); VERIFY_BITS(r[0], 52); @@ -158,7 +154,7 @@ SECP256K1_INLINE static void secp256k1_fe_mul_inner(uint64_t *r, const uint64_t SECP256K1_INLINE static void secp256k1_fe_sqr_inner(uint64_t *r, const uint64_t *a) { secp256k1_uint128 c, d; uint64_t a0 = a[0], a1 = a[1], a2 = a[2], a3 = a[3], a4 = a[4]; - int64_t t3, t4, tx, u0; + uint64_t t3, t4, tx, u0; const uint64_t M = 0xFFFFFFFFFFFFFULL, R = 0x1000003D10ULL; VERIFY_BITS(a[0], 56); diff --git a/src/field_impl.h b/src/field_impl.h index 0a03076bbc..7aa7de431a 100644 --- a/src/field_impl.h +++ b/src/field_impl.h @@ -7,6 +7,7 @@ #ifndef SECP256K1_FIELD_IMPL_H #define SECP256K1_FIELD_IMPL_H +#include "field.h" #include "util.h" #if defined(SECP256K1_WIDEMUL_INT128) @@ -17,21 +18,23 @@ #error "Please select wide multiplication implementation" #endif -SECP256K1_INLINE static int secp256k1_fe_equal(const secp256k1_fe *a, const secp256k1_fe *b) { - secp256k1_fe na; - secp256k1_fe_negate(&na, a, 1); - secp256k1_fe_add(&na, b); - return secp256k1_fe_normalizes_to_zero(&na); +SECP256K1_INLINE static void secp256k1_fe_clear(secp256k1_fe *a) { + secp256k1_memclear_explicit(a, sizeof(secp256k1_fe)); } -SECP256K1_INLINE static int secp256k1_fe_equal_var(const secp256k1_fe *a, const secp256k1_fe *b) { +SECP256K1_INLINE static int secp256k1_fe_equal(const secp256k1_fe *a, const secp256k1_fe *b) { secp256k1_fe na; + SECP256K1_FE_VERIFY(a); + SECP256K1_FE_VERIFY(b); + SECP256K1_FE_VERIFY_MAGNITUDE(a, 1); + SECP256K1_FE_VERIFY_MAGNITUDE(b, 31); + secp256k1_fe_negate(&na, a, 1); secp256k1_fe_add(&na, b); - return secp256k1_fe_normalizes_to_zero_var(&na); + return secp256k1_fe_normalizes_to_zero(&na); } -static int secp256k1_fe_sqrt(secp256k1_fe *r, const secp256k1_fe *a) { +static int secp256k1_fe_sqrt(secp256k1_fe * SECP256K1_RESTRICT r, const secp256k1_fe * SECP256K1_RESTRICT a) { /** Given that p is congruent to 3 mod 4, we can compute the square root of * a mod p as the (p+1)/4'th power of a. * @@ -42,9 +45,11 @@ static int secp256k1_fe_sqrt(secp256k1_fe *r, const secp256k1_fe *a) { * itself always a square (a ** ((p+1)/4) is the square of a ** ((p+1)/8)). */ secp256k1_fe x2, x3, x6, x9, x11, x22, x44, x88, x176, x220, x223, t1; - int j; + int j, ret; VERIFY_CHECK(r != a); + SECP256K1_FE_VERIFY(a); + SECP256K1_FE_VERIFY_MAGNITUDE(a, 8); /** The binary representation of (p + 1)/4 has 3 blocks of 1s, with lengths in * { 2, 22, 223 }. Use an addition chain to calculate 2^n - 1 for each block: @@ -128,7 +133,325 @@ static int secp256k1_fe_sqrt(secp256k1_fe *r, const secp256k1_fe *a) { /* Check that a square root was actually calculated */ secp256k1_fe_sqr(&t1, r); - return secp256k1_fe_equal(&t1, a); + ret = secp256k1_fe_equal(&t1, a); + +#ifdef VERIFY + if (!ret) { + secp256k1_fe_negate(&t1, &t1, 1); + secp256k1_fe_normalize_var(&t1); + VERIFY_CHECK(secp256k1_fe_equal(&t1, a)); + } +#endif + return ret; +} + +#ifndef VERIFY +static void secp256k1_fe_verify(const secp256k1_fe *a) { (void)a; } +static void secp256k1_fe_verify_magnitude(const secp256k1_fe *a, int m) { (void)a; (void)m; } +#else +static void secp256k1_fe_impl_verify(const secp256k1_fe *a); +static void secp256k1_fe_verify(const secp256k1_fe *a) { + /* Magnitude between 0 and 32. */ + SECP256K1_FE_VERIFY_MAGNITUDE(a, 32); + /* Normalized is 0 or 1. */ + VERIFY_CHECK((a->normalized == 0) || (a->normalized == 1)); + /* If normalized, magnitude must be 0 or 1. */ + if (a->normalized) SECP256K1_FE_VERIFY_MAGNITUDE(a, 1); + /* Invoke implementation-specific checks. */ + secp256k1_fe_impl_verify(a); +} + +static void secp256k1_fe_verify_magnitude(const secp256k1_fe *a, int m) { + VERIFY_CHECK(m >= 0); + VERIFY_CHECK(m <= 32); + VERIFY_CHECK(a->magnitude <= m); +} + +static void secp256k1_fe_impl_normalize(secp256k1_fe *r); +SECP256K1_INLINE static void secp256k1_fe_normalize(secp256k1_fe *r) { + SECP256K1_FE_VERIFY(r); + + secp256k1_fe_impl_normalize(r); + r->magnitude = 1; + r->normalized = 1; + + SECP256K1_FE_VERIFY(r); +} + +static void secp256k1_fe_impl_normalize_weak(secp256k1_fe *r); +SECP256K1_INLINE static void secp256k1_fe_normalize_weak(secp256k1_fe *r) { + SECP256K1_FE_VERIFY(r); + + secp256k1_fe_impl_normalize_weak(r); + r->magnitude = 1; + + SECP256K1_FE_VERIFY(r); +} + +static void secp256k1_fe_impl_normalize_var(secp256k1_fe *r); +SECP256K1_INLINE static void secp256k1_fe_normalize_var(secp256k1_fe *r) { + SECP256K1_FE_VERIFY(r); + + secp256k1_fe_impl_normalize_var(r); + r->magnitude = 1; + r->normalized = 1; + + SECP256K1_FE_VERIFY(r); +} + +static int secp256k1_fe_impl_normalizes_to_zero(const secp256k1_fe *r); +SECP256K1_INLINE static int secp256k1_fe_normalizes_to_zero(const secp256k1_fe *r) { + SECP256K1_FE_VERIFY(r); + + return secp256k1_fe_impl_normalizes_to_zero(r); +} + +static int secp256k1_fe_impl_normalizes_to_zero_var(const secp256k1_fe *r); +SECP256K1_INLINE static int secp256k1_fe_normalizes_to_zero_var(const secp256k1_fe *r) { + SECP256K1_FE_VERIFY(r); + + return secp256k1_fe_impl_normalizes_to_zero_var(r); +} + +static void secp256k1_fe_impl_set_int(secp256k1_fe *r, int a); +SECP256K1_INLINE static void secp256k1_fe_set_int(secp256k1_fe *r, int a) { + VERIFY_CHECK(0 <= a && a <= 0x7FFF); + + secp256k1_fe_impl_set_int(r, a); + r->magnitude = (a != 0); + r->normalized = 1; + + SECP256K1_FE_VERIFY(r); +} + +static void secp256k1_fe_impl_add_int(secp256k1_fe *r, int a); +SECP256K1_INLINE static void secp256k1_fe_add_int(secp256k1_fe *r, int a) { + VERIFY_CHECK(0 <= a && a <= 0x7FFF); + SECP256K1_FE_VERIFY(r); + + secp256k1_fe_impl_add_int(r, a); + r->magnitude += 1; + r->normalized = 0; + + SECP256K1_FE_VERIFY(r); +} + +static int secp256k1_fe_impl_is_zero(const secp256k1_fe *a); +SECP256K1_INLINE static int secp256k1_fe_is_zero(const secp256k1_fe *a) { + SECP256K1_FE_VERIFY(a); + VERIFY_CHECK(a->normalized); + + return secp256k1_fe_impl_is_zero(a); +} + +static int secp256k1_fe_impl_is_odd(const secp256k1_fe *a); +SECP256K1_INLINE static int secp256k1_fe_is_odd(const secp256k1_fe *a) { + SECP256K1_FE_VERIFY(a); + VERIFY_CHECK(a->normalized); + + return secp256k1_fe_impl_is_odd(a); +} + +static int secp256k1_fe_impl_cmp_var(const secp256k1_fe *a, const secp256k1_fe *b); +SECP256K1_INLINE static int secp256k1_fe_cmp_var(const secp256k1_fe *a, const secp256k1_fe *b) { + SECP256K1_FE_VERIFY(a); + SECP256K1_FE_VERIFY(b); + VERIFY_CHECK(a->normalized); + VERIFY_CHECK(b->normalized); + + return secp256k1_fe_impl_cmp_var(a, b); +} + +static void secp256k1_fe_impl_set_b32_mod(secp256k1_fe *r, const unsigned char *a); +SECP256K1_INLINE static void secp256k1_fe_set_b32_mod(secp256k1_fe *r, const unsigned char *a) { + secp256k1_fe_impl_set_b32_mod(r, a); + r->magnitude = 1; + r->normalized = 0; + + SECP256K1_FE_VERIFY(r); +} + +static int secp256k1_fe_impl_set_b32_limit(secp256k1_fe *r, const unsigned char *a); +SECP256K1_INLINE static int secp256k1_fe_set_b32_limit(secp256k1_fe *r, const unsigned char *a) { + if (secp256k1_fe_impl_set_b32_limit(r, a)) { + r->magnitude = 1; + r->normalized = 1; + SECP256K1_FE_VERIFY(r); + return 1; + } else { + /* Mark the output field element as invalid. */ + r->magnitude = -1; + return 0; + } +} + +static void secp256k1_fe_impl_get_b32(unsigned char *r, const secp256k1_fe *a); +SECP256K1_INLINE static void secp256k1_fe_get_b32(unsigned char *r, const secp256k1_fe *a) { + SECP256K1_FE_VERIFY(a); + VERIFY_CHECK(a->normalized); + + secp256k1_fe_impl_get_b32(r, a); +} + +static void secp256k1_fe_impl_negate_unchecked(secp256k1_fe *r, const secp256k1_fe *a, int m); +SECP256K1_INLINE static void secp256k1_fe_negate_unchecked(secp256k1_fe *r, const secp256k1_fe *a, int m) { + SECP256K1_FE_VERIFY(a); + VERIFY_CHECK(m >= 0 && m <= 31); + SECP256K1_FE_VERIFY_MAGNITUDE(a, m); + + secp256k1_fe_impl_negate_unchecked(r, a, m); + r->magnitude = m + 1; + r->normalized = 0; + + SECP256K1_FE_VERIFY(r); +} + +static void secp256k1_fe_impl_mul_int_unchecked(secp256k1_fe *r, int a); +SECP256K1_INLINE static void secp256k1_fe_mul_int_unchecked(secp256k1_fe *r, int a) { + SECP256K1_FE_VERIFY(r); + + VERIFY_CHECK(a >= 0 && a <= 32); + VERIFY_CHECK(a*r->magnitude <= 32); + secp256k1_fe_impl_mul_int_unchecked(r, a); + r->magnitude *= a; + r->normalized = 0; + + SECP256K1_FE_VERIFY(r); +} + +static void secp256k1_fe_impl_add(secp256k1_fe *r, const secp256k1_fe *a); +SECP256K1_INLINE static void secp256k1_fe_add(secp256k1_fe *r, const secp256k1_fe *a) { + SECP256K1_FE_VERIFY(r); + SECP256K1_FE_VERIFY(a); + VERIFY_CHECK(r->magnitude + a->magnitude <= 32); + + secp256k1_fe_impl_add(r, a); + r->magnitude += a->magnitude; + r->normalized = 0; + + SECP256K1_FE_VERIFY(r); +} + +static void secp256k1_fe_impl_mul(secp256k1_fe *r, const secp256k1_fe *a, const secp256k1_fe * SECP256K1_RESTRICT b); +SECP256K1_INLINE static void secp256k1_fe_mul(secp256k1_fe *r, const secp256k1_fe *a, const secp256k1_fe * SECP256K1_RESTRICT b) { + SECP256K1_FE_VERIFY(a); + SECP256K1_FE_VERIFY(b); + SECP256K1_FE_VERIFY_MAGNITUDE(a, 8); + SECP256K1_FE_VERIFY_MAGNITUDE(b, 8); + VERIFY_CHECK(r != b); + VERIFY_CHECK(a != b); + + secp256k1_fe_impl_mul(r, a, b); + r->magnitude = 1; + r->normalized = 0; + + SECP256K1_FE_VERIFY(r); } +static void secp256k1_fe_impl_sqr(secp256k1_fe *r, const secp256k1_fe *a); +SECP256K1_INLINE static void secp256k1_fe_sqr(secp256k1_fe *r, const secp256k1_fe *a) { + SECP256K1_FE_VERIFY(a); + SECP256K1_FE_VERIFY_MAGNITUDE(a, 8); + + secp256k1_fe_impl_sqr(r, a); + r->magnitude = 1; + r->normalized = 0; + + SECP256K1_FE_VERIFY(r); +} + +static void secp256k1_fe_impl_cmov(secp256k1_fe *r, const secp256k1_fe *a, int flag); +SECP256K1_INLINE static void secp256k1_fe_cmov(secp256k1_fe *r, const secp256k1_fe *a, int flag) { + VERIFY_CHECK(flag == 0 || flag == 1); + SECP256K1_FE_VERIFY(a); + SECP256K1_FE_VERIFY(r); + + secp256k1_fe_impl_cmov(r, a, flag); + if (a->magnitude > r->magnitude) r->magnitude = a->magnitude; + if (!a->normalized) r->normalized = 0; + + SECP256K1_FE_VERIFY(r); +} + +static void secp256k1_fe_impl_to_storage(secp256k1_fe_storage *r, const secp256k1_fe *a); +SECP256K1_INLINE static void secp256k1_fe_to_storage(secp256k1_fe_storage *r, const secp256k1_fe *a) { + SECP256K1_FE_VERIFY(a); + VERIFY_CHECK(a->normalized); + + secp256k1_fe_impl_to_storage(r, a); +} + +static void secp256k1_fe_impl_from_storage(secp256k1_fe *r, const secp256k1_fe_storage *a); +SECP256K1_INLINE static void secp256k1_fe_from_storage(secp256k1_fe *r, const secp256k1_fe_storage *a) { + secp256k1_fe_impl_from_storage(r, a); + r->magnitude = 1; + r->normalized = 1; + + SECP256K1_FE_VERIFY(r); +} + +static void secp256k1_fe_impl_inv(secp256k1_fe *r, const secp256k1_fe *x); +SECP256K1_INLINE static void secp256k1_fe_inv(secp256k1_fe *r, const secp256k1_fe *x) { + int input_is_zero = secp256k1_fe_normalizes_to_zero(x); + SECP256K1_FE_VERIFY(x); + + secp256k1_fe_impl_inv(r, x); + r->magnitude = x->magnitude > 0; + r->normalized = 1; + + VERIFY_CHECK(secp256k1_fe_normalizes_to_zero(r) == input_is_zero); + SECP256K1_FE_VERIFY(r); +} + +static void secp256k1_fe_impl_inv_var(secp256k1_fe *r, const secp256k1_fe *x); +SECP256K1_INLINE static void secp256k1_fe_inv_var(secp256k1_fe *r, const secp256k1_fe *x) { + int input_is_zero = secp256k1_fe_normalizes_to_zero(x); + SECP256K1_FE_VERIFY(x); + + secp256k1_fe_impl_inv_var(r, x); + r->magnitude = x->magnitude > 0; + r->normalized = 1; + + VERIFY_CHECK(secp256k1_fe_normalizes_to_zero(r) == input_is_zero); + SECP256K1_FE_VERIFY(r); +} + +static int secp256k1_fe_impl_is_square_var(const secp256k1_fe *x); +SECP256K1_INLINE static int secp256k1_fe_is_square_var(const secp256k1_fe *x) { + int ret; + secp256k1_fe tmp = *x, sqrt; + SECP256K1_FE_VERIFY(x); + + ret = secp256k1_fe_impl_is_square_var(x); + secp256k1_fe_normalize_weak(&tmp); + VERIFY_CHECK(ret == secp256k1_fe_sqrt(&sqrt, &tmp)); + return ret; +} + +static void secp256k1_fe_impl_get_bounds(secp256k1_fe* r, int m); +SECP256K1_INLINE static void secp256k1_fe_get_bounds(secp256k1_fe* r, int m) { + VERIFY_CHECK(m >= 0); + VERIFY_CHECK(m <= 32); + + secp256k1_fe_impl_get_bounds(r, m); + r->magnitude = m; + r->normalized = (m == 0); + + SECP256K1_FE_VERIFY(r); +} + +static void secp256k1_fe_impl_half(secp256k1_fe *r); +SECP256K1_INLINE static void secp256k1_fe_half(secp256k1_fe *r) { + SECP256K1_FE_VERIFY(r); + SECP256K1_FE_VERIFY_MAGNITUDE(r, 31); + + secp256k1_fe_impl_half(r); + r->magnitude = (r->magnitude >> 1) + 1; + r->normalized = 0; + + SECP256K1_FE_VERIFY(r); +} + +#endif /* defined(VERIFY) */ + #endif /* SECP256K1_FIELD_IMPL_H */ diff --git a/src/group.h b/src/group.h index b79ba597db..05ae0d203c 100644 --- a/src/group.h +++ b/src/group.h @@ -44,6 +44,14 @@ typedef struct { #define SECP256K1_GE_STORAGE_CONST_GET(t) SECP256K1_FE_STORAGE_CONST_GET(t.x), SECP256K1_FE_STORAGE_CONST_GET(t.y) +/** Maximum allowed magnitudes for group element coordinates + * in affine (x, y) and jacobian (x, y, z) representation. */ +#define SECP256K1_GE_X_MAGNITUDE_MAX 4 +#define SECP256K1_GE_Y_MAGNITUDE_MAX 3 +#define SECP256K1_GEJ_X_MAGNITUDE_MAX 4 +#define SECP256K1_GEJ_Y_MAGNITUDE_MAX 4 +#define SECP256K1_GEJ_Z_MAGNITUDE_MAX 1 + /** Set a group element equal to the point with given X and Y coordinates */ static void secp256k1_ge_set_xy(secp256k1_ge *r, const secp256k1_fe *x, const secp256k1_fe *y); @@ -51,6 +59,12 @@ static void secp256k1_ge_set_xy(secp256k1_ge *r, const secp256k1_fe *x, const se * for Y. Return value indicates whether the result is valid. */ static int secp256k1_ge_set_xo_var(secp256k1_ge *r, const secp256k1_fe *x, int odd); +/** Determine whether x is a valid X coordinate on the curve. */ +static int secp256k1_ge_x_on_curve_var(const secp256k1_fe *x); + +/** Determine whether fraction xn/xd is a valid X coordinate on the curve (xd != 0). */ +static int secp256k1_ge_x_frac_on_curve_var(const secp256k1_fe *xn, const secp256k1_fe *xd); + /** Check whether a group element is the point at infinity. */ static int secp256k1_ge_is_infinity(const secp256k1_ge *a); @@ -66,7 +80,11 @@ static void secp256k1_ge_set_gej(secp256k1_ge *r, secp256k1_gej *a); /** Set a group element equal to another which is given in jacobian coordinates. */ static void secp256k1_ge_set_gej_var(secp256k1_ge *r, secp256k1_gej *a); -/** Set a batch of group elements equal to the inputs given in jacobian coordinates */ +/** Set group elements r[0:len] (affine) equal to group elements a[0:len] (jacobian). + * None of the group elements in a[0:len] may be infinity. Constant time. */ +static void secp256k1_ge_set_all_gej(secp256k1_ge *r, const secp256k1_gej *a, size_t len); + +/** Set group elements r[0:len] (affine) equal to group elements a[0:len] (jacobian). */ static void secp256k1_ge_set_all_gej_var(secp256k1_ge *r, const secp256k1_gej *a, size_t len); /** Bring a batch of inputs to the same global z "denominator", based on ratios between @@ -88,6 +106,9 @@ static void secp256k1_ge_set_all_gej_var(secp256k1_ge *r, const secp256k1_gej *a */ static void secp256k1_ge_table_set_globalz(size_t len, secp256k1_ge *a, const secp256k1_fe *zr); +/** Check two group elements (affine) for equality in variable time. */ +static int secp256k1_ge_eq_var(const secp256k1_ge *a, const secp256k1_ge *b); + /** Set a group element (affine) equal to the point at infinity. */ static void secp256k1_ge_set_infinity(secp256k1_ge *r); @@ -100,7 +121,11 @@ static void secp256k1_gej_set_ge(secp256k1_gej *r, const secp256k1_ge *a); /** Check two group elements (jacobian) for equality in variable time. */ static int secp256k1_gej_eq_var(const secp256k1_gej *a, const secp256k1_gej *b); -/** Compare the X coordinate of a group element (jacobian). */ +/** Check two group elements (jacobian and affine) for equality in variable time. */ +static int secp256k1_gej_eq_ge_var(const secp256k1_gej *a, const secp256k1_ge *b); + +/** Compare the X coordinate of a group element (jacobian). + * The magnitude of the group element's X coordinate must not exceed 31. */ static int secp256k1_gej_eq_x_var(const secp256k1_fe *x, const secp256k1_gej *a); /** Set r equal to the inverse of a (i.e., mirrored around the X axis) */ @@ -153,6 +178,22 @@ static void secp256k1_ge_storage_cmov(secp256k1_ge_storage *r, const secp256k1_g /** Rescale a jacobian point by b which must be non-zero. Constant-time. */ static void secp256k1_gej_rescale(secp256k1_gej *r, const secp256k1_fe *b); +/** Convert a group element that is not infinity to a 64-byte array. The output + * array is platform-dependent. */ +static void secp256k1_ge_to_bytes(unsigned char *buf, const secp256k1_ge *a); + +/** Convert a 64-byte array into group element. This function assumes that the + * provided buffer correctly encodes a group element. */ +static void secp256k1_ge_from_bytes(secp256k1_ge *r, const unsigned char *buf); + +/** Convert a group element (that is allowed to be infinity) to a 64-byte + * array. The output array is platform-dependent. */ +static void secp256k1_ge_to_bytes_ext(unsigned char *data, const secp256k1_ge *ge); + +/** Convert a 64-byte array into a group element. This function assumes that the + * provided buffer is the output of secp256k1_ge_to_bytes_ext. */ +static void secp256k1_ge_from_bytes_ext(secp256k1_ge *ge, const unsigned char *data); + /** Determine if a point (which is assumed to be on the curve) is in the correct (sub)group of the curve. * * In normal mode, the used group is secp256k1, which has cofactor=1 meaning that every point on the curve is in the @@ -164,4 +205,12 @@ static void secp256k1_gej_rescale(secp256k1_gej *r, const secp256k1_fe *b); */ static int secp256k1_ge_is_in_correct_subgroup(const secp256k1_ge* ge); +/** Check invariants on an affine group element (no-op unless VERIFY is enabled). */ +static void secp256k1_ge_verify(const secp256k1_ge *a); +#define SECP256K1_GE_VERIFY(a) secp256k1_ge_verify(a) + +/** Check invariants on a Jacobian group element (no-op unless VERIFY is enabled). */ +static void secp256k1_gej_verify(const secp256k1_gej *a); +#define SECP256K1_GEJ_VERIFY(a) secp256k1_gej_verify(a) + #endif /* SECP256K1_GROUP_H */ diff --git a/src/group_impl.h b/src/group_impl.h index 82ce3f8d8b..81a24b9d5b 100644 --- a/src/group_impl.h +++ b/src/group_impl.h @@ -7,8 +7,11 @@ #ifndef SECP256K1_GROUP_IMPL_H #define SECP256K1_GROUP_IMPL_H +#include + #include "field.h" #include "group.h" +#include "util.h" /* Begin of section generated by sage/gen_exhaustive_groups.sage. */ #define SECP256K1_G_ORDER_7 SECP256K1_GE_CONST(\ @@ -72,37 +75,91 @@ static const secp256k1_ge secp256k1_ge_const_g = SECP256K1_G; #endif /* End of section generated by sage/gen_exhaustive_groups.sage. */ -static const secp256k1_fe secp256k1_fe_const_b = SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, SECP256K1_B); +static void secp256k1_ge_verify(const secp256k1_ge *a) { + SECP256K1_FE_VERIFY(&a->x); + SECP256K1_FE_VERIFY(&a->y); + SECP256K1_FE_VERIFY_MAGNITUDE(&a->x, SECP256K1_GE_X_MAGNITUDE_MAX); + SECP256K1_FE_VERIFY_MAGNITUDE(&a->y, SECP256K1_GE_Y_MAGNITUDE_MAX); + VERIFY_CHECK(a->infinity == 0 || a->infinity == 1); + (void)a; +} +static void secp256k1_gej_verify(const secp256k1_gej *a) { + SECP256K1_FE_VERIFY(&a->x); + SECP256K1_FE_VERIFY(&a->y); + SECP256K1_FE_VERIFY(&a->z); + SECP256K1_FE_VERIFY_MAGNITUDE(&a->x, SECP256K1_GEJ_X_MAGNITUDE_MAX); + SECP256K1_FE_VERIFY_MAGNITUDE(&a->y, SECP256K1_GEJ_Y_MAGNITUDE_MAX); + SECP256K1_FE_VERIFY_MAGNITUDE(&a->z, SECP256K1_GEJ_Z_MAGNITUDE_MAX); + VERIFY_CHECK(a->infinity == 0 || a->infinity == 1); + (void)a; +} + +/* Set r to the affine coordinates of Jacobian point (a.x, a.y, 1/zi). */ static void secp256k1_ge_set_gej_zinv(secp256k1_ge *r, const secp256k1_gej *a, const secp256k1_fe *zi) { secp256k1_fe zi2; secp256k1_fe zi3; + SECP256K1_GEJ_VERIFY(a); + SECP256K1_FE_VERIFY(zi); + VERIFY_CHECK(!a->infinity); + + secp256k1_fe_sqr(&zi2, zi); + secp256k1_fe_mul(&zi3, &zi2, zi); + secp256k1_fe_mul(&r->x, &a->x, &zi2); + secp256k1_fe_mul(&r->y, &a->y, &zi3); + r->infinity = a->infinity; + + SECP256K1_GE_VERIFY(r); +} + +/* Set r to the affine coordinates of Jacobian point (a.x, a.y, 1/zi). */ +static void secp256k1_ge_set_ge_zinv(secp256k1_ge *r, const secp256k1_ge *a, const secp256k1_fe *zi) { + secp256k1_fe zi2; + secp256k1_fe zi3; + SECP256K1_GE_VERIFY(a); + SECP256K1_FE_VERIFY(zi); VERIFY_CHECK(!a->infinity); + secp256k1_fe_sqr(&zi2, zi); secp256k1_fe_mul(&zi3, &zi2, zi); secp256k1_fe_mul(&r->x, &a->x, &zi2); secp256k1_fe_mul(&r->y, &a->y, &zi3); r->infinity = a->infinity; + + SECP256K1_GE_VERIFY(r); } static void secp256k1_ge_set_xy(secp256k1_ge *r, const secp256k1_fe *x, const secp256k1_fe *y) { + SECP256K1_FE_VERIFY(x); + SECP256K1_FE_VERIFY(y); + r->infinity = 0; r->x = *x; r->y = *y; + + SECP256K1_GE_VERIFY(r); } static int secp256k1_ge_is_infinity(const secp256k1_ge *a) { + SECP256K1_GE_VERIFY(a); + return a->infinity; } static void secp256k1_ge_neg(secp256k1_ge *r, const secp256k1_ge *a) { + SECP256K1_GE_VERIFY(a); + *r = *a; secp256k1_fe_normalize_weak(&r->y); secp256k1_fe_negate(&r->y, &r->y, 1); + + SECP256K1_GE_VERIFY(r); } static void secp256k1_ge_set_gej(secp256k1_ge *r, secp256k1_gej *a) { secp256k1_fe z2, z3; + SECP256K1_GEJ_VERIFY(a); + r->infinity = a->infinity; secp256k1_fe_inv(&a->z, &a->z); secp256k1_fe_sqr(&z2, &a->z); @@ -112,14 +169,20 @@ static void secp256k1_ge_set_gej(secp256k1_ge *r, secp256k1_gej *a) { secp256k1_fe_set_int(&a->z, 1); r->x = a->x; r->y = a->y; + + SECP256K1_GEJ_VERIFY(a); + SECP256K1_GE_VERIFY(r); } static void secp256k1_ge_set_gej_var(secp256k1_ge *r, secp256k1_gej *a) { secp256k1_fe z2, z3; - if (a->infinity) { + SECP256K1_GEJ_VERIFY(a); + + if (secp256k1_gej_is_infinity(a)) { secp256k1_ge_set_infinity(r); return; } + r->infinity = 0; secp256k1_fe_inv_var(&a->z, &a->z); secp256k1_fe_sqr(&z2, &a->z); secp256k1_fe_mul(&z3, &a->z, &z2); @@ -127,12 +190,58 @@ static void secp256k1_ge_set_gej_var(secp256k1_ge *r, secp256k1_gej *a) { secp256k1_fe_mul(&a->y, &a->y, &z3); secp256k1_fe_set_int(&a->z, 1); secp256k1_ge_set_xy(r, &a->x, &a->y); + + SECP256K1_GEJ_VERIFY(a); + SECP256K1_GE_VERIFY(r); +} + +static void secp256k1_ge_set_all_gej(secp256k1_ge *r, const secp256k1_gej *a, size_t len) { + secp256k1_fe u; + size_t i; +#ifdef VERIFY + for (i = 0; i < len; i++) { + SECP256K1_GEJ_VERIFY(&a[i]); + VERIFY_CHECK(!secp256k1_gej_is_infinity(&a[i])); + } +#endif + + if (len == 0) { + return; + } + + /* Use destination's x coordinates as scratch space */ + r[0].x = a[0].z; + for (i = 1; i < len; i++) { + secp256k1_fe_mul(&r[i].x, &r[i - 1].x, &a[i].z); + } + secp256k1_fe_inv(&u, &r[len - 1].x); + + for (i = len - 1; i > 0; i--) { + secp256k1_fe_mul(&r[i].x, &r[i - 1].x, &u); + secp256k1_fe_mul(&u, &u, &a[i].z); + } + r[0].x = u; + + for (i = 0; i < len; i++) { + secp256k1_ge_set_gej_zinv(&r[i], &a[i], &r[i].x); + } + +#ifdef VERIFY + for (i = 0; i < len; i++) { + SECP256K1_GE_VERIFY(&r[i]); + } +#endif } static void secp256k1_ge_set_all_gej_var(secp256k1_ge *r, const secp256k1_gej *a, size_t len) { secp256k1_fe u; size_t i; size_t last_i = SIZE_MAX; +#ifdef VERIFY + for (i = 0; i < len; i++) { + SECP256K1_GEJ_VERIFY(&a[i]); + } +#endif for (i = 0; i < len; i++) { if (a[i].infinity) { @@ -169,113 +278,175 @@ static void secp256k1_ge_set_all_gej_var(secp256k1_ge *r, const secp256k1_gej *a secp256k1_ge_set_gej_zinv(&r[i], &a[i], &r[i].x); } } + +#ifdef VERIFY + for (i = 0; i < len; i++) { + SECP256K1_GE_VERIFY(&r[i]); + } +#endif } static void secp256k1_ge_table_set_globalz(size_t len, secp256k1_ge *a, const secp256k1_fe *zr) { - size_t i = len - 1; + size_t i; secp256k1_fe zs; +#ifdef VERIFY + for (i = 0; i < len; i++) { + SECP256K1_GE_VERIFY(&a[i]); + SECP256K1_FE_VERIFY(&zr[i]); + } +#endif if (len > 0) { + i = len - 1; /* Ensure all y values are in weak normal form for fast negation of points */ secp256k1_fe_normalize_weak(&a[i].y); zs = zr[i]; /* Work our way backwards, using the z-ratios to scale the x/y values. */ while (i > 0) { - secp256k1_gej tmpa; if (i != len - 1) { secp256k1_fe_mul(&zs, &zs, &zr[i]); } i--; - tmpa.x = a[i].x; - tmpa.y = a[i].y; - tmpa.infinity = 0; - secp256k1_ge_set_gej_zinv(&a[i], &tmpa, &zs); + secp256k1_ge_set_ge_zinv(&a[i], &a[i], &zs); } } + +#ifdef VERIFY + for (i = 0; i < len; i++) { + SECP256K1_GE_VERIFY(&a[i]); + } +#endif } static void secp256k1_gej_set_infinity(secp256k1_gej *r) { r->infinity = 1; - secp256k1_fe_clear(&r->x); - secp256k1_fe_clear(&r->y); - secp256k1_fe_clear(&r->z); + secp256k1_fe_set_int(&r->x, 0); + secp256k1_fe_set_int(&r->y, 0); + secp256k1_fe_set_int(&r->z, 0); + + SECP256K1_GEJ_VERIFY(r); } static void secp256k1_ge_set_infinity(secp256k1_ge *r) { r->infinity = 1; - secp256k1_fe_clear(&r->x); - secp256k1_fe_clear(&r->y); + secp256k1_fe_set_int(&r->x, 0); + secp256k1_fe_set_int(&r->y, 0); + + SECP256K1_GE_VERIFY(r); } static void secp256k1_gej_clear(secp256k1_gej *r) { - r->infinity = 0; - secp256k1_fe_clear(&r->x); - secp256k1_fe_clear(&r->y); - secp256k1_fe_clear(&r->z); + secp256k1_memclear_explicit(r, sizeof(secp256k1_gej)); } static void secp256k1_ge_clear(secp256k1_ge *r) { - r->infinity = 0; - secp256k1_fe_clear(&r->x); - secp256k1_fe_clear(&r->y); + secp256k1_memclear_explicit(r, sizeof(secp256k1_ge)); } static int secp256k1_ge_set_xo_var(secp256k1_ge *r, const secp256k1_fe *x, int odd) { secp256k1_fe x2, x3; + int ret; + SECP256K1_FE_VERIFY(x); + r->x = *x; secp256k1_fe_sqr(&x2, x); secp256k1_fe_mul(&x3, x, &x2); r->infinity = 0; secp256k1_fe_add_int(&x3, SECP256K1_B); - if (!secp256k1_fe_sqrt(&r->y, &x3)) { - return 0; - } + ret = secp256k1_fe_sqrt(&r->y, &x3); secp256k1_fe_normalize_var(&r->y); if (secp256k1_fe_is_odd(&r->y) != odd) { secp256k1_fe_negate(&r->y, &r->y, 1); } - return 1; + SECP256K1_GE_VERIFY(r); + return ret; } static void secp256k1_gej_set_ge(secp256k1_gej *r, const secp256k1_ge *a) { + SECP256K1_GE_VERIFY(a); + r->infinity = a->infinity; r->x = a->x; r->y = a->y; secp256k1_fe_set_int(&r->z, 1); + + SECP256K1_GEJ_VERIFY(r); } static int secp256k1_gej_eq_var(const secp256k1_gej *a, const secp256k1_gej *b) { secp256k1_gej tmp; + SECP256K1_GEJ_VERIFY(b); + SECP256K1_GEJ_VERIFY(a); + secp256k1_gej_neg(&tmp, a); secp256k1_gej_add_var(&tmp, &tmp, b, NULL); return secp256k1_gej_is_infinity(&tmp); } +static int secp256k1_gej_eq_ge_var(const secp256k1_gej *a, const secp256k1_ge *b) { + secp256k1_gej tmp; + SECP256K1_GEJ_VERIFY(a); + SECP256K1_GE_VERIFY(b); + + secp256k1_gej_neg(&tmp, a); + secp256k1_gej_add_ge_var(&tmp, &tmp, b, NULL); + return secp256k1_gej_is_infinity(&tmp); +} + +static int secp256k1_ge_eq_var(const secp256k1_ge *a, const secp256k1_ge *b) { + secp256k1_fe tmp; + SECP256K1_GE_VERIFY(a); + SECP256K1_GE_VERIFY(b); + + if (a->infinity != b->infinity) return 0; + if (a->infinity) return 1; + + tmp = a->x; + secp256k1_fe_normalize_weak(&tmp); + if (!secp256k1_fe_equal(&tmp, &b->x)) return 0; + + tmp = a->y; + secp256k1_fe_normalize_weak(&tmp); + if (!secp256k1_fe_equal(&tmp, &b->y)) return 0; + + return 1; +} + static int secp256k1_gej_eq_x_var(const secp256k1_fe *x, const secp256k1_gej *a) { - secp256k1_fe r, r2; + secp256k1_fe r; + SECP256K1_FE_VERIFY(x); + SECP256K1_GEJ_VERIFY(a); VERIFY_CHECK(!a->infinity); + secp256k1_fe_sqr(&r, &a->z); secp256k1_fe_mul(&r, &r, x); - r2 = a->x; secp256k1_fe_normalize_weak(&r2); - return secp256k1_fe_equal_var(&r, &r2); + return secp256k1_fe_equal(&r, &a->x); } static void secp256k1_gej_neg(secp256k1_gej *r, const secp256k1_gej *a) { + SECP256K1_GEJ_VERIFY(a); + r->infinity = a->infinity; r->x = a->x; r->y = a->y; r->z = a->z; secp256k1_fe_normalize_weak(&r->y); secp256k1_fe_negate(&r->y, &r->y, 1); + + SECP256K1_GEJ_VERIFY(r); } static int secp256k1_gej_is_infinity(const secp256k1_gej *a) { + SECP256K1_GEJ_VERIFY(a); + return a->infinity; } static int secp256k1_ge_is_valid_var(const secp256k1_ge *a) { secp256k1_fe y2, x3; + SECP256K1_GE_VERIFY(a); + if (a->infinity) { return 0; } @@ -283,13 +454,13 @@ static int secp256k1_ge_is_valid_var(const secp256k1_ge *a) { secp256k1_fe_sqr(&y2, &a->y); secp256k1_fe_sqr(&x3, &a->x); secp256k1_fe_mul(&x3, &x3, &a->x); secp256k1_fe_add_int(&x3, SECP256K1_B); - secp256k1_fe_normalize_weak(&x3); - return secp256k1_fe_equal_var(&y2, &x3); + return secp256k1_fe_equal(&y2, &x3); } static SECP256K1_INLINE void secp256k1_gej_double(secp256k1_gej *r, const secp256k1_gej *a) { /* Operations: 3 mul, 4 sqr, 8 add/half/mul_int/negate */ secp256k1_fe l, s, t; + SECP256K1_GEJ_VERIFY(a); r->infinity = a->infinity; @@ -317,9 +488,13 @@ static SECP256K1_INLINE void secp256k1_gej_double(secp256k1_gej *r, const secp25 secp256k1_fe_mul(&r->y, &t, &l); /* Y3 = L*(X3 + T) (1) */ secp256k1_fe_add(&r->y, &s); /* Y3 = L*(X3 + T) + S^2 (2) */ secp256k1_fe_negate(&r->y, &r->y, 2); /* Y3 = -(L*(X3 + T) + S^2) (3) */ + + SECP256K1_GEJ_VERIFY(r); } static void secp256k1_gej_double_var(secp256k1_gej *r, const secp256k1_gej *a, secp256k1_fe *rzr) { + SECP256K1_GEJ_VERIFY(a); + /** For secp256k1, 2Q is infinity if and only if Q is infinity. This is because if 2Q = infinity, * Q must equal -Q, or that Q.y == -(Q.y), or Q.y is 0. For a point on y^2 = x^3 + 7 to have * y=0, x^3 must be -7 mod p. However, -7 has no cube root mod p. @@ -344,11 +519,15 @@ static void secp256k1_gej_double_var(secp256k1_gej *r, const secp256k1_gej *a, s } secp256k1_gej_double(r, a); + + SECP256K1_GEJ_VERIFY(r); } static void secp256k1_gej_add_var(secp256k1_gej *r, const secp256k1_gej *a, const secp256k1_gej *b, secp256k1_fe *rzr) { /* 12 mul, 4 sqr, 11 add/negate/normalizes_to_zero (ignoring special cases) */ secp256k1_fe z22, z12, u1, u2, s1, s2, h, i, h2, h3, t; + SECP256K1_GEJ_VERIFY(a); + SECP256K1_GEJ_VERIFY(b); if (a->infinity) { VERIFY_CHECK(rzr == NULL); @@ -404,11 +583,16 @@ static void secp256k1_gej_add_var(secp256k1_gej *r, const secp256k1_gej *a, cons secp256k1_fe_mul(&r->y, &t, &i); secp256k1_fe_mul(&h3, &h3, &s1); secp256k1_fe_add(&r->y, &h3); + + SECP256K1_GEJ_VERIFY(r); } static void secp256k1_gej_add_ge_var(secp256k1_gej *r, const secp256k1_gej *a, const secp256k1_ge *b, secp256k1_fe *rzr) { - /* 8 mul, 3 sqr, 13 add/negate/normalize_weak/normalizes_to_zero (ignoring special cases) */ + /* Operations: 8 mul, 3 sqr, 11 add/negate/normalizes_to_zero (ignoring special cases) */ secp256k1_fe z12, u1, u2, s1, s2, h, i, h2, h3, t; + SECP256K1_GEJ_VERIFY(a); + SECP256K1_GE_VERIFY(b); + if (a->infinity) { VERIFY_CHECK(rzr == NULL); secp256k1_gej_set_ge(r, b); @@ -423,11 +607,11 @@ static void secp256k1_gej_add_ge_var(secp256k1_gej *r, const secp256k1_gej *a, c } secp256k1_fe_sqr(&z12, &a->z); - u1 = a->x; secp256k1_fe_normalize_weak(&u1); + u1 = a->x; secp256k1_fe_mul(&u2, &b->x, &z12); - s1 = a->y; secp256k1_fe_normalize_weak(&s1); + s1 = a->y; secp256k1_fe_mul(&s2, &b->y, &z12); secp256k1_fe_mul(&s2, &s2, &a->z); - secp256k1_fe_negate(&h, &u1, 1); secp256k1_fe_add(&h, &u2); + secp256k1_fe_negate(&h, &u1, SECP256K1_GEJ_X_MAGNITUDE_MAX); secp256k1_fe_add(&h, &u2); secp256k1_fe_negate(&i, &s2, 1); secp256k1_fe_add(&i, &s1); if (secp256k1_fe_normalizes_to_zero_var(&h)) { if (secp256k1_fe_normalizes_to_zero_var(&i)) { @@ -461,11 +645,17 @@ static void secp256k1_gej_add_ge_var(secp256k1_gej *r, const secp256k1_gej *a, c secp256k1_fe_mul(&r->y, &t, &i); secp256k1_fe_mul(&h3, &h3, &s1); secp256k1_fe_add(&r->y, &h3); + + SECP256K1_GEJ_VERIFY(r); + if (rzr != NULL) SECP256K1_FE_VERIFY(rzr); } static void secp256k1_gej_add_zinv_var(secp256k1_gej *r, const secp256k1_gej *a, const secp256k1_ge *b, const secp256k1_fe *bzinv) { - /* 9 mul, 3 sqr, 13 add/negate/normalize_weak/normalizes_to_zero (ignoring special cases) */ + /* Operations: 9 mul, 3 sqr, 11 add/negate/normalizes_to_zero (ignoring special cases) */ secp256k1_fe az, z12, u1, u2, s1, s2, h, i, h2, h3, t; + SECP256K1_GEJ_VERIFY(a); + SECP256K1_GE_VERIFY(b); + SECP256K1_FE_VERIFY(bzinv); if (a->infinity) { secp256k1_fe bzinv2, bzinv3; @@ -475,6 +665,7 @@ static void secp256k1_gej_add_zinv_var(secp256k1_gej *r, const secp256k1_gej *a, secp256k1_fe_mul(&r->x, &b->x, &bzinv2); secp256k1_fe_mul(&r->y, &b->y, &bzinv3); secp256k1_fe_set_int(&r->z, 1); + SECP256K1_GEJ_VERIFY(r); return; } if (b->infinity) { @@ -493,11 +684,11 @@ static void secp256k1_gej_add_zinv_var(secp256k1_gej *r, const secp256k1_gej *a, secp256k1_fe_mul(&az, &a->z, bzinv); secp256k1_fe_sqr(&z12, &az); - u1 = a->x; secp256k1_fe_normalize_weak(&u1); + u1 = a->x; secp256k1_fe_mul(&u2, &b->x, &z12); - s1 = a->y; secp256k1_fe_normalize_weak(&s1); + s1 = a->y; secp256k1_fe_mul(&s2, &b->y, &z12); secp256k1_fe_mul(&s2, &s2, &az); - secp256k1_fe_negate(&h, &u1, 1); secp256k1_fe_add(&h, &u2); + secp256k1_fe_negate(&h, &u1, SECP256K1_GEJ_X_MAGNITUDE_MAX); secp256k1_fe_add(&h, &u2); secp256k1_fe_negate(&i, &s2, 1); secp256k1_fe_add(&i, &s1); if (secp256k1_fe_normalizes_to_zero_var(&h)) { if (secp256k1_fe_normalizes_to_zero_var(&i)) { @@ -525,16 +716,19 @@ static void secp256k1_gej_add_zinv_var(secp256k1_gej *r, const secp256k1_gej *a, secp256k1_fe_mul(&r->y, &t, &i); secp256k1_fe_mul(&h3, &h3, &s1); secp256k1_fe_add(&r->y, &h3); + + SECP256K1_GEJ_VERIFY(r); } static void secp256k1_gej_add_ge(secp256k1_gej *r, const secp256k1_gej *a, const secp256k1_ge *b) { - /* Operations: 7 mul, 5 sqr, 24 add/cmov/half/mul_int/negate/normalize_weak/normalizes_to_zero */ + /* Operations: 7 mul, 5 sqr, 21 add/cmov/half/mul_int/negate/normalizes_to_zero */ secp256k1_fe zz, u1, u2, s1, s2, t, tt, m, n, q, rr; secp256k1_fe m_alt, rr_alt; int degenerate; + SECP256K1_GEJ_VERIFY(a); + SECP256K1_GE_VERIFY(b); VERIFY_CHECK(!b->infinity); - VERIFY_CHECK(a->infinity == 0 || a->infinity == 1); /* In: * Eric Brier and Marc Joye, Weierstrass Elliptic Curves and Side-Channel Attacks. @@ -587,17 +781,17 @@ static void secp256k1_gej_add_ge(secp256k1_gej *r, const secp256k1_gej *a, const */ secp256k1_fe_sqr(&zz, &a->z); /* z = Z1^2 */ - u1 = a->x; secp256k1_fe_normalize_weak(&u1); /* u1 = U1 = X1*Z2^2 (1) */ + u1 = a->x; /* u1 = U1 = X1*Z2^2 (GEJ_X_M) */ secp256k1_fe_mul(&u2, &b->x, &zz); /* u2 = U2 = X2*Z1^2 (1) */ - s1 = a->y; secp256k1_fe_normalize_weak(&s1); /* s1 = S1 = Y1*Z2^3 (1) */ + s1 = a->y; /* s1 = S1 = Y1*Z2^3 (GEJ_Y_M) */ secp256k1_fe_mul(&s2, &b->y, &zz); /* s2 = Y2*Z1^2 (1) */ secp256k1_fe_mul(&s2, &s2, &a->z); /* s2 = S2 = Y2*Z1^3 (1) */ - t = u1; secp256k1_fe_add(&t, &u2); /* t = T = U1+U2 (2) */ - m = s1; secp256k1_fe_add(&m, &s2); /* m = M = S1+S2 (2) */ + t = u1; secp256k1_fe_add(&t, &u2); /* t = T = U1+U2 (GEJ_X_M+1) */ + m = s1; secp256k1_fe_add(&m, &s2); /* m = M = S1+S2 (GEJ_Y_M+1) */ secp256k1_fe_sqr(&rr, &t); /* rr = T^2 (1) */ - secp256k1_fe_negate(&m_alt, &u2, 1); /* Malt = -X2*Z1^2 */ - secp256k1_fe_mul(&tt, &u1, &m_alt); /* tt = -U1*U2 (2) */ - secp256k1_fe_add(&rr, &tt); /* rr = R = T^2-U1*U2 (3) */ + secp256k1_fe_negate(&m_alt, &u2, 1); /* Malt = -X2*Z1^2 (2) */ + secp256k1_fe_mul(&tt, &u1, &m_alt); /* tt = -U1*U2 (1) */ + secp256k1_fe_add(&rr, &tt); /* rr = R = T^2-U1*U2 (2) */ /* If lambda = R/M = R/0 we have a problem (except in the "trivial" * case that Z = z1z2 = 0, and this is special-cased later on). */ degenerate = secp256k1_fe_normalizes_to_zero(&m); @@ -607,24 +801,25 @@ static void secp256k1_gej_add_ge(secp256k1_gej *r, const secp256k1_gej *a, const * non-indeterminate expression for lambda is (y1 - y2)/(x1 - x2), * so we set R/M equal to this. */ rr_alt = s1; - secp256k1_fe_mul_int(&rr_alt, 2); /* rr = Y1*Z2^3 - Y2*Z1^3 (2) */ - secp256k1_fe_add(&m_alt, &u1); /* Malt = X1*Z2^2 - X2*Z1^2 */ + secp256k1_fe_mul_int(&rr_alt, 2); /* rr_alt = Y1*Z2^3 - Y2*Z1^3 (GEJ_Y_M*2) */ + secp256k1_fe_add(&m_alt, &u1); /* Malt = X1*Z2^2 - X2*Z1^2 (GEJ_X_M+2) */ - secp256k1_fe_cmov(&rr_alt, &rr, !degenerate); - secp256k1_fe_cmov(&m_alt, &m, !degenerate); + secp256k1_fe_cmov(&rr_alt, &rr, !degenerate); /* rr_alt (GEJ_Y_M*2) */ + secp256k1_fe_cmov(&m_alt, &m, !degenerate); /* m_alt (GEJ_X_M+2) */ /* Now Ralt / Malt = lambda and is guaranteed not to be Ralt / 0. * From here on out Ralt and Malt represent the numerator * and denominator of lambda; R and M represent the explicit * expressions x1^2 + x2^2 + x1x2 and y1 + y2. */ secp256k1_fe_sqr(&n, &m_alt); /* n = Malt^2 (1) */ - secp256k1_fe_negate(&q, &t, 2); /* q = -T (3) */ + secp256k1_fe_negate(&q, &t, + SECP256K1_GEJ_X_MAGNITUDE_MAX + 1); /* q = -T (GEJ_X_M+2) */ secp256k1_fe_mul(&q, &q, &n); /* q = Q = -T*Malt^2 (1) */ /* These two lines use the observation that either M == Malt or M == 0, * so M^3 * Malt is either Malt^4 (which is computed by squaring), or * zero (which is "computed" by cmov). So the cost is one squaring * versus two multiplications. */ - secp256k1_fe_sqr(&n, &n); - secp256k1_fe_cmov(&n, &m, degenerate); /* n = M^3 * Malt (2) */ + secp256k1_fe_sqr(&n, &n); /* n = Malt^4 (1) */ + secp256k1_fe_cmov(&n, &m, degenerate); /* n = M^3 * Malt (GEJ_Y_M+1) */ secp256k1_fe_sqr(&t, &rr_alt); /* t = Ralt^2 (1) */ secp256k1_fe_mul(&r->z, &a->z, &m_alt); /* r->z = Z3 = Malt*Z (1) */ secp256k1_fe_add(&t, &q); /* t = Ralt^2 + Q (2) */ @@ -632,9 +827,10 @@ static void secp256k1_gej_add_ge(secp256k1_gej *r, const secp256k1_gej *a, const secp256k1_fe_mul_int(&t, 2); /* t = 2*X3 (4) */ secp256k1_fe_add(&t, &q); /* t = 2*X3 + Q (5) */ secp256k1_fe_mul(&t, &t, &rr_alt); /* t = Ralt*(2*X3 + Q) (1) */ - secp256k1_fe_add(&t, &n); /* t = Ralt*(2*X3 + Q) + M^3*Malt (3) */ - secp256k1_fe_negate(&r->y, &t, 3); /* r->y = -(Ralt*(2*X3 + Q) + M^3*Malt) (4) */ - secp256k1_fe_half(&r->y); /* r->y = Y3 = -(Ralt*(2*X3 + Q) + M^3*Malt)/2 (3) */ + secp256k1_fe_add(&t, &n); /* t = Ralt*(2*X3 + Q) + M^3*Malt (GEJ_Y_M+2) */ + secp256k1_fe_negate(&r->y, &t, + SECP256K1_GEJ_Y_MAGNITUDE_MAX + 2); /* r->y = -(Ralt*(2*X3 + Q) + M^3*Malt) (GEJ_Y_M+3) */ + secp256k1_fe_half(&r->y); /* r->y = Y3 = -(Ralt*(2*X3 + Q) + M^3*Malt)/2 ((GEJ_Y_M+3)/2 + 1) */ /* In case a->infinity == 1, replace r with (b->x, b->y, 1). */ secp256k1_fe_cmov(&r->x, &b->x, a->infinity); @@ -658,22 +854,31 @@ static void secp256k1_gej_add_ge(secp256k1_gej *r, const secp256k1_gej *a, const * We have degenerate = false, r->z = (y1 + y2) * Z. * Then r->infinity = ((y1 + y2)Z == 0) = (y1 == -y2) = false. */ r->infinity = secp256k1_fe_normalizes_to_zero(&r->z); + + SECP256K1_GEJ_VERIFY(r); } static void secp256k1_gej_rescale(secp256k1_gej *r, const secp256k1_fe *s) { /* Operations: 4 mul, 1 sqr */ secp256k1_fe zz; - VERIFY_CHECK(!secp256k1_fe_is_zero(s)); + SECP256K1_GEJ_VERIFY(r); + SECP256K1_FE_VERIFY(s); + VERIFY_CHECK(!secp256k1_fe_normalizes_to_zero_var(s)); + secp256k1_fe_sqr(&zz, s); secp256k1_fe_mul(&r->x, &r->x, &zz); /* r->x *= s^2 */ secp256k1_fe_mul(&r->y, &r->y, &zz); secp256k1_fe_mul(&r->y, &r->y, s); /* r->y *= s^3 */ secp256k1_fe_mul(&r->z, &r->z, s); /* r->z *= s */ + + SECP256K1_GEJ_VERIFY(r); } static void secp256k1_ge_to_storage(secp256k1_ge_storage *r, const secp256k1_ge *a) { secp256k1_fe x, y; + SECP256K1_GE_VERIFY(a); VERIFY_CHECK(!a->infinity); + x = a->x; secp256k1_fe_normalize(&x); y = a->y; @@ -686,14 +891,20 @@ static void secp256k1_ge_from_storage(secp256k1_ge *r, const secp256k1_ge_storag secp256k1_fe_from_storage(&r->x, &a->x); secp256k1_fe_from_storage(&r->y, &a->y); r->infinity = 0; + + SECP256K1_GE_VERIFY(r); } static SECP256K1_INLINE void secp256k1_gej_cmov(secp256k1_gej *r, const secp256k1_gej *a, int flag) { + SECP256K1_GEJ_VERIFY(r); + SECP256K1_GEJ_VERIFY(a); + secp256k1_fe_cmov(&r->x, &a->x, flag); secp256k1_fe_cmov(&r->y, &a->y, flag); secp256k1_fe_cmov(&r->z, &a->z, flag); - r->infinity ^= (r->infinity ^ a->infinity) & flag; + + SECP256K1_GEJ_VERIFY(r); } static SECP256K1_INLINE void secp256k1_ge_storage_cmov(secp256k1_ge_storage *r, const secp256k1_ge_storage *a, int flag) { @@ -702,14 +913,19 @@ static SECP256K1_INLINE void secp256k1_ge_storage_cmov(secp256k1_ge_storage *r, } static void secp256k1_ge_mul_lambda(secp256k1_ge *r, const secp256k1_ge *a) { + SECP256K1_GE_VERIFY(a); + *r = *a; secp256k1_fe_mul(&r->x, &r->x, &secp256k1_const_beta); + + SECP256K1_GE_VERIFY(r); } static int secp256k1_ge_is_in_correct_subgroup(const secp256k1_ge* ge) { #ifdef EXHAUSTIVE_TEST_ORDER secp256k1_gej out; int i; + SECP256K1_GE_VERIFY(ge); /* A very simple EC multiplication ladder that avoids a dependency on ecmult. */ secp256k1_gej_set_infinity(&out); @@ -721,10 +937,76 @@ static int secp256k1_ge_is_in_correct_subgroup(const secp256k1_ge* ge) { } return secp256k1_gej_is_infinity(&out); #else + SECP256K1_GE_VERIFY(ge); + (void)ge; /* The real secp256k1 group has cofactor 1, so the subgroup is the entire curve. */ return 1; #endif } +static int secp256k1_ge_x_on_curve_var(const secp256k1_fe *x) { + secp256k1_fe c; + secp256k1_fe_sqr(&c, x); + secp256k1_fe_mul(&c, &c, x); + secp256k1_fe_add_int(&c, SECP256K1_B); + return secp256k1_fe_is_square_var(&c); +} + +static int secp256k1_ge_x_frac_on_curve_var(const secp256k1_fe *xn, const secp256k1_fe *xd) { + /* We want to determine whether (xn/xd) is on the curve. + * + * (xn/xd)^3 + 7 is square <=> xd*xn^3 + 7*xd^4 is square (multiplying by xd^4, a square). + */ + secp256k1_fe r, t; + VERIFY_CHECK(!secp256k1_fe_normalizes_to_zero_var(xd)); + + secp256k1_fe_mul(&r, xd, xn); /* r = xd*xn */ + secp256k1_fe_sqr(&t, xn); /* t = xn^2 */ + secp256k1_fe_mul(&r, &r, &t); /* r = xd*xn^3 */ + secp256k1_fe_sqr(&t, xd); /* t = xd^2 */ + secp256k1_fe_sqr(&t, &t); /* t = xd^4 */ + VERIFY_CHECK(SECP256K1_B <= 31); + secp256k1_fe_mul_int(&t, SECP256K1_B); /* t = 7*xd^4 */ + secp256k1_fe_add(&r, &t); /* r = xd*xn^3 + 7*xd^4 */ + return secp256k1_fe_is_square_var(&r); +} + +static void secp256k1_ge_to_bytes(unsigned char *buf, const secp256k1_ge *a) { + secp256k1_ge_storage s; + + /* We require that the secp256k1_ge_storage type is exactly 64 bytes. + * This is formally not guaranteed by the C standard, but should hold on any + * sane compiler in the real world. */ + STATIC_ASSERT(sizeof(secp256k1_ge_storage) == 64); + VERIFY_CHECK(!secp256k1_ge_is_infinity(a)); + secp256k1_ge_to_storage(&s, a); + memcpy(buf, &s, 64); +} + +static void secp256k1_ge_from_bytes(secp256k1_ge *r, const unsigned char *buf) { + secp256k1_ge_storage s; + + STATIC_ASSERT(sizeof(secp256k1_ge_storage) == 64); + memcpy(&s, buf, 64); + secp256k1_ge_from_storage(r, &s); +} + +static void secp256k1_ge_to_bytes_ext(unsigned char *data, const secp256k1_ge *ge) { + if (secp256k1_ge_is_infinity(ge)) { + memset(data, 0, 64); + } else { + secp256k1_ge_to_bytes(data, ge); + } +} + +static void secp256k1_ge_from_bytes_ext(secp256k1_ge *ge, const unsigned char *data) { + static const unsigned char zeros[64] = { 0 }; + if (secp256k1_memcmp_var(data, zeros, sizeof(zeros)) == 0) { + secp256k1_ge_set_infinity(ge); + } else { + secp256k1_ge_from_bytes(ge, data); + } +} + #endif /* SECP256K1_GROUP_IMPL_H */ diff --git a/src/hash.h b/src/hash.h index 4e0384cfbf..6d903ca7e0 100644 --- a/src/hash.h +++ b/src/hash.h @@ -19,6 +19,7 @@ typedef struct { static void secp256k1_sha256_initialize(secp256k1_sha256 *hash); static void secp256k1_sha256_write(secp256k1_sha256 *hash, const unsigned char *data, size_t size); static void secp256k1_sha256_finalize(secp256k1_sha256 *hash, unsigned char *out32); +static void secp256k1_sha256_clear(secp256k1_sha256 *hash); typedef struct { secp256k1_sha256 inner, outer; @@ -27,6 +28,7 @@ typedef struct { static void secp256k1_hmac_sha256_initialize(secp256k1_hmac_sha256 *hash, const unsigned char *key, size_t size); static void secp256k1_hmac_sha256_write(secp256k1_hmac_sha256 *hash, const unsigned char *data, size_t size); static void secp256k1_hmac_sha256_finalize(secp256k1_hmac_sha256 *hash, unsigned char *out32); +static void secp256k1_hmac_sha256_clear(secp256k1_hmac_sha256 *hash); typedef struct { unsigned char v[32]; @@ -37,5 +39,6 @@ typedef struct { static void secp256k1_rfc6979_hmac_sha256_initialize(secp256k1_rfc6979_hmac_sha256 *rng, const unsigned char *key, size_t keylen); static void secp256k1_rfc6979_hmac_sha256_generate(secp256k1_rfc6979_hmac_sha256 *rng, unsigned char *out, size_t outlen); static void secp256k1_rfc6979_hmac_sha256_finalize(secp256k1_rfc6979_hmac_sha256 *rng); +static void secp256k1_rfc6979_hmac_sha256_clear(secp256k1_rfc6979_hmac_sha256 *rng); #endif /* SECP256K1_HASH_H */ diff --git a/src/hash_impl.h b/src/hash_impl.h index 0991fe7838..4341917773 100644 --- a/src/hash_impl.h +++ b/src/hash_impl.h @@ -138,7 +138,7 @@ static void secp256k1_sha256_write(secp256k1_sha256 *hash, const unsigned char * } if (len) { /* Fill the buffer with what remains. */ - memcpy(((unsigned char*)hash->buf) + bufsize, data, len); + memcpy(hash->buf + bufsize, data, len); } } @@ -171,6 +171,10 @@ static void secp256k1_sha256_initialize_tagged(secp256k1_sha256 *hash, const uns secp256k1_sha256_write(hash, buf, 32); } +static void secp256k1_sha256_clear(secp256k1_sha256 *hash) { + secp256k1_memclear_explicit(hash, sizeof(*hash)); +} + static void secp256k1_hmac_sha256_initialize(secp256k1_hmac_sha256 *hash, const unsigned char *key, size_t keylen) { size_t n; unsigned char rkey[64]; @@ -196,7 +200,7 @@ static void secp256k1_hmac_sha256_initialize(secp256k1_hmac_sha256 *hash, const rkey[n] ^= 0x5c ^ 0x36; } secp256k1_sha256_write(&hash->inner, rkey, sizeof(rkey)); - memset(rkey, 0, sizeof(rkey)); + secp256k1_memclear_explicit(rkey, sizeof(rkey)); } static void secp256k1_hmac_sha256_write(secp256k1_hmac_sha256 *hash, const unsigned char *data, size_t size) { @@ -207,10 +211,13 @@ static void secp256k1_hmac_sha256_finalize(secp256k1_hmac_sha256 *hash, unsigned unsigned char temp[32]; secp256k1_sha256_finalize(&hash->inner, temp); secp256k1_sha256_write(&hash->outer, temp, 32); - memset(temp, 0, 32); + secp256k1_memclear_explicit(temp, sizeof(temp)); secp256k1_sha256_finalize(&hash->outer, out32); } +static void secp256k1_hmac_sha256_clear(secp256k1_hmac_sha256 *hash) { + secp256k1_memclear_explicit(hash, sizeof(*hash)); +} static void secp256k1_rfc6979_hmac_sha256_initialize(secp256k1_rfc6979_hmac_sha256 *rng, const unsigned char *key, size_t keylen) { secp256k1_hmac_sha256 hmac; @@ -258,7 +265,7 @@ static void secp256k1_rfc6979_hmac_sha256_generate(secp256k1_rfc6979_hmac_sha256 while (outlen > 0) { secp256k1_hmac_sha256 hmac; - int now = outlen; + size_t now = outlen; secp256k1_hmac_sha256_initialize(&hmac, rng->k, 32); secp256k1_hmac_sha256_write(&hmac, rng->v, 32); secp256k1_hmac_sha256_finalize(&hmac, rng->v); @@ -274,9 +281,11 @@ static void secp256k1_rfc6979_hmac_sha256_generate(secp256k1_rfc6979_hmac_sha256 } static void secp256k1_rfc6979_hmac_sha256_finalize(secp256k1_rfc6979_hmac_sha256 *rng) { - memset(rng->k, 0, 32); - memset(rng->v, 0, 32); - rng->retry = 0; + (void) rng; +} + +static void secp256k1_rfc6979_hmac_sha256_clear(secp256k1_rfc6979_hmac_sha256 *rng) { + secp256k1_memclear_explicit(rng, sizeof(*rng)); } #undef Round diff --git a/src/hsort.h b/src/hsort.h new file mode 100644 index 0000000000..d54995caad --- /dev/null +++ b/src/hsort.h @@ -0,0 +1,33 @@ +/*********************************************************************** + * Copyright (c) 2021 Russell O'Connor, Jonas Nick * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ + +#ifndef SECP256K1_HSORT_H +#define SECP256K1_HSORT_H + +#include +#include + +/* In-place, iterative heapsort with an interface matching glibc's qsort_r. This + * is preferred over standard library implementations because they generally + * make no guarantee about being fast for malicious inputs. + * Remember that heapsort is unstable. + * + * In/Out: ptr: pointer to the array to sort. The contents of the array are + * sorted in ascending order according to the comparison function. + * In: count: number of elements in the array. + * size: size in bytes of each element. + * cmp: pointer to a comparison function that is called with two + * arguments that point to the objects being compared. The cmp_data + * argument of secp256k1_hsort is passed as third argument. The + * function must return an integer less than, equal to, or greater + * than zero if the first argument is considered to be respectively + * less than, equal to, or greater than the second. + * cmp_data: pointer passed as third argument to cmp. + */ +static void secp256k1_hsort(void *ptr, size_t count, size_t size, + int (*cmp)(const void *, const void *, void *), + void *cmp_data); +#endif diff --git a/src/hsort_impl.h b/src/hsort_impl.h new file mode 100644 index 0000000000..1c674ff1c4 --- /dev/null +++ b/src/hsort_impl.h @@ -0,0 +1,125 @@ +/*********************************************************************** + * Copyright (c) 2021 Russell O'Connor, Jonas Nick * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ + +#ifndef SECP256K1_HSORT_IMPL_H +#define SECP256K1_HSORT_IMPL_H + +#include "hsort.h" + +/* An array is a heap when, for all non-zero indexes i, the element at index i + * compares as less than or equal to the element at index parent(i) = (i-1)/2. + */ + +static SECP256K1_INLINE size_t secp256k1_heap_child1(size_t i) { + VERIFY_CHECK(i <= (SIZE_MAX - 1)/2); + return 2*i + 1; +} + +static SECP256K1_INLINE size_t secp256k1_heap_child2(size_t i) { + VERIFY_CHECK(i <= SIZE_MAX/2 - 1); + return secp256k1_heap_child1(i)+1; +} + +static SECP256K1_INLINE void secp256k1_heap_swap64(unsigned char *a, unsigned char *b, size_t len) { + unsigned char tmp[64]; + VERIFY_CHECK(len <= 64); + memcpy(tmp, a, len); + memmove(a, b, len); + memcpy(b, tmp, len); +} + +static SECP256K1_INLINE void secp256k1_heap_swap(unsigned char *arr, size_t i, size_t j, size_t stride) { + unsigned char *a = arr + i*stride; + unsigned char *b = arr + j*stride; + size_t len = stride; + while (64 < len) { + secp256k1_heap_swap64(a + (len - 64), b + (len - 64), 64); + len -= 64; + } + secp256k1_heap_swap64(a, b, len); +} + +/* This function accepts an array arr containing heap_size elements, each of + * size stride. The elements in the array at indices >i satisfy the max-heap + * property, i.e., for any element at index j (where j > i), all of its children + * are smaller than the element itself. The purpose of the function is to update + * the array so that all elements at indices >=i satisfy the max-heap + * property. */ +static SECP256K1_INLINE void secp256k1_heap_down(unsigned char *arr, size_t i, size_t heap_size, size_t stride, + int (*cmp)(const void *, const void *, void *), void *cmp_data) { + while (i < heap_size/2) { + VERIFY_CHECK(i <= SIZE_MAX/2 - 1); + /* Proof: + * i < heap_size/2 + * i + 1 <= heap_size/2 + * 2*i + 2 <= heap_size <= SIZE_MAX + * 2*i <= SIZE_MAX - 2 + */ + + VERIFY_CHECK(secp256k1_heap_child1(i) < heap_size); + /* Proof: + * i < heap_size/2 + * i + 1 <= heap_size/2 + * 2*i + 2 <= heap_size + * 2*i + 1 < heap_size + * child1(i) < heap_size + */ + + /* Let [x] be notation for the contents at arr[x*stride]. + * + * If [child1(i)] > [i] and [child2(i)] > [i], + * swap [i] with the larger child to ensure the new parent is larger + * than both children. When [child1(i)] == [child2(i)], swap [i] with + * [child2(i)]. + * Else if [child1(i)] > [i], swap [i] with [child1(i)]. + * Else if [child2(i)] > [i], swap [i] with [child2(i)]. + */ + if (secp256k1_heap_child2(i) < heap_size + && 0 <= cmp(arr + secp256k1_heap_child2(i)*stride, arr + secp256k1_heap_child1(i)*stride, cmp_data)) { + if (0 < cmp(arr + secp256k1_heap_child2(i)*stride, arr + i*stride, cmp_data)) { + secp256k1_heap_swap(arr, i, secp256k1_heap_child2(i), stride); + i = secp256k1_heap_child2(i); + } else { + /* At this point we have [child2(i)] >= [child1(i)] and we have + * [child2(i)] <= [i], and thus [child1(i)] <= [i] which means + * that the next comparison can be skipped. */ + return; + } + } else if (0 < cmp(arr + secp256k1_heap_child1(i)*stride, arr + i*stride, cmp_data)) { + secp256k1_heap_swap(arr, i, secp256k1_heap_child1(i), stride); + i = secp256k1_heap_child1(i); + } else { + return; + } + } + /* heap_size/2 <= i + * heap_size/2 < i + 1 + * heap_size < 2*i + 2 + * heap_size <= 2*i + 1 + * heap_size <= child1(i) + * Thus child1(i) and child2(i) are now out of bounds and we are at a leaf. + */ +} + +/* In-place heap sort. */ +static void secp256k1_hsort(void *ptr, size_t count, size_t size, + int (*cmp)(const void *, const void *, void *), + void *cmp_data) { + size_t i; + + for (i = count/2; 0 < i; --i) { + secp256k1_heap_down(ptr, i-1, count, size, cmp, cmp_data); + } + for (i = count; 1 < i; --i) { + /* Extract the largest value from the heap */ + secp256k1_heap_swap(ptr, 0, i-1, size); + + /* Repair the heap condition */ + secp256k1_heap_down(ptr, 0, i-1, size, cmp, cmp_data); + } +} + +#endif diff --git a/src/int128_native_impl.h b/src/int128_native_impl.h index 996e542cf9..7f02e1590b 100644 --- a/src/int128_native_impl.h +++ b/src/int128_native_impl.h @@ -2,6 +2,7 @@ #define SECP256K1_INT128_NATIVE_IMPL_H #include "int128.h" +#include "util.h" static SECP256K1_INLINE void secp256k1_u128_load(secp256k1_uint128 *r, uint64_t hi, uint64_t lo) { *r = (((uint128_t)hi) << 64) + lo; diff --git a/src/int128_struct_impl.h b/src/int128_struct_impl.h index 2eb337cb54..962a71d13b 100644 --- a/src/int128_struct_impl.h +++ b/src/int128_struct_impl.h @@ -2,6 +2,7 @@ #define SECP256K1_INT128_STRUCT_IMPL_H #include "int128.h" +#include "util.h" #if defined(_MSC_VER) && (defined(_M_X64) || defined(_M_ARM64)) /* MSVC */ # include @@ -79,7 +80,12 @@ static SECP256K1_INLINE void secp256k1_u128_rshift(secp256k1_uint128 *r, unsigne r->lo = r->hi >> (n-64); r->hi = 0; } else if (n > 0) { +#if defined(_MSC_VER) && defined(_M_X64) + VERIFY_CHECK(n < 64); + r->lo = __shiftright128(r->lo, r->hi, n); +#else r->lo = ((1U * r->hi) << (64-n)) | r->lo >> n; +#endif r->hi >>= n; } } @@ -193,7 +199,7 @@ static SECP256K1_INLINE int secp256k1_i128_check_pow2(const secp256k1_int128 *r, VERIFY_CHECK(n < 127); VERIFY_CHECK(sign == 1 || sign == -1); return n >= 64 ? r->hi == (uint64_t)sign << (n - 64) && r->lo == 0 - : r->hi == (uint64_t)((sign - 1) >> 1) && r->lo == (uint64_t)sign << n; + : r->hi == (uint64_t)(sign >> 1) && r->lo == (uint64_t)sign << n; } #endif diff --git a/src/modinv32_impl.h b/src/modinv32_impl.h index 643750560e..981d2abc6d 100644 --- a/src/modinv32_impl.h +++ b/src/modinv32_impl.h @@ -64,7 +64,7 @@ static void secp256k1_modinv32_normalize_30(secp256k1_modinv32_signed30 *r, int3 const int32_t M30 = (int32_t)(UINT32_MAX >> 2); int32_t r0 = r->v[0], r1 = r->v[1], r2 = r->v[2], r3 = r->v[3], r4 = r->v[4], r5 = r->v[5], r6 = r->v[6], r7 = r->v[7], r8 = r->v[8]; - int32_t cond_add, cond_negate; + volatile int32_t cond_add, cond_negate; #ifdef VERIFY /* Verify that all limbs are in range (-2^30,2^30). */ @@ -144,7 +144,6 @@ static void secp256k1_modinv32_normalize_30(secp256k1_modinv32_signed30 *r, int3 r->v[7] = r7; r->v[8] = r8; -#ifdef VERIFY VERIFY_CHECK(r0 >> 30 == 0); VERIFY_CHECK(r1 >> 30 == 0); VERIFY_CHECK(r2 >> 30 == 0); @@ -156,7 +155,6 @@ static void secp256k1_modinv32_normalize_30(secp256k1_modinv32_signed30 *r, int3 VERIFY_CHECK(r8 >> 30 == 0); VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(r, 9, &modinfo->modulus, 0) >= 0); /* r >= 0 */ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(r, 9, &modinfo->modulus, 1) < 0); /* r < modulus */ -#endif } /* Data type for transition matrices (see section 3 of explanation). @@ -186,7 +184,8 @@ static int32_t secp256k1_modinv32_divsteps_30(int32_t zeta, uint32_t f0, uint32_ * being inside [-2^31,2^31) means that casting to signed works correctly. */ uint32_t u = 1, v = 0, q = 0, r = 1; - uint32_t c1, c2, f = f0, g = g0, x, y, z; + volatile uint32_t c1, c2; + uint32_t mask1, mask2, f = f0, g = g0, x, y, z; int i; for (i = 0; i < 30; ++i) { @@ -195,23 +194,25 @@ static int32_t secp256k1_modinv32_divsteps_30(int32_t zeta, uint32_t f0, uint32_ VERIFY_CHECK((q * f0 + r * g0) == g << i); /* Compute conditional masks for (zeta < 0) and for (g & 1). */ c1 = zeta >> 31; - c2 = -(g & 1); + mask1 = c1; + c2 = g & 1; + mask2 = -c2; /* Compute x,y,z, conditionally negated versions of f,u,v. */ - x = (f ^ c1) - c1; - y = (u ^ c1) - c1; - z = (v ^ c1) - c1; + x = (f ^ mask1) - mask1; + y = (u ^ mask1) - mask1; + z = (v ^ mask1) - mask1; /* Conditionally add x,y,z to g,q,r. */ - g += x & c2; - q += y & c2; - r += z & c2; - /* In what follows, c1 is a condition mask for (zeta < 0) and (g & 1). */ - c1 &= c2; + g += x & mask2; + q += y & mask2; + r += z & mask2; + /* In what follows, mask1 is a condition mask for (zeta < 0) and (g & 1). */ + mask1 &= mask2; /* Conditionally change zeta into -zeta-2 or zeta-1. */ - zeta = (zeta ^ c1) - 1; + zeta = (zeta ^ mask1) - 1; /* Conditionally add g,q,r to f,u,v. */ - f += g & c1; - u += q & c1; - v += r & c1; + f += g & mask1; + u += q & mask1; + v += r & mask1; /* Shifts */ g >>= 1; u <<= 1; @@ -232,7 +233,7 @@ static int32_t secp256k1_modinv32_divsteps_30(int32_t zeta, uint32_t f0, uint32_ return zeta; } -/* inv256[i] = -(2*i+1)^-1 (mod 256) */ +/* secp256k1_modinv32_inv256[i] = -(2*i+1)^-1 (mod 256) */ static const uint8_t secp256k1_modinv32_inv256[128] = { 0xFF, 0x55, 0x33, 0x49, 0xC7, 0x5D, 0x3B, 0x11, 0x0F, 0xE5, 0xC3, 0x59, 0xD7, 0xED, 0xCB, 0x21, 0x1F, 0x75, 0x53, 0x69, 0xE7, 0x7D, 0x5B, 0x31, @@ -410,14 +411,13 @@ static void secp256k1_modinv32_update_de_30(secp256k1_modinv32_signed30 *d, secp int32_t di, ei, md, me, sd, se; int64_t cd, ce; int i; -#ifdef VERIFY VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(d, 9, &modinfo->modulus, -2) > 0); /* d > -2*modulus */ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(d, 9, &modinfo->modulus, 1) < 0); /* d < modulus */ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(e, 9, &modinfo->modulus, -2) > 0); /* e > -2*modulus */ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(e, 9, &modinfo->modulus, 1) < 0); /* e < modulus */ VERIFY_CHECK(labs(u) <= (M30 + 1 - labs(v))); /* |u|+|v| <= 2^30 */ VERIFY_CHECK(labs(q) <= (M30 + 1 - labs(r))); /* |q|+|r| <= 2^30 */ -#endif + /* [md,me] start as zero; plus [u,q] if d is negative; plus [v,r] if e is negative. */ sd = d->v[8] >> 31; se = e->v[8] >> 31; @@ -452,12 +452,11 @@ static void secp256k1_modinv32_update_de_30(secp256k1_modinv32_signed30 *d, secp /* What remains is limb 9 of t*[d,e]+modulus*[md,me]; store it as output limb 8. */ d->v[8] = (int32_t)cd; e->v[8] = (int32_t)ce; -#ifdef VERIFY + VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(d, 9, &modinfo->modulus, -2) > 0); /* d > -2*modulus */ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(d, 9, &modinfo->modulus, 1) < 0); /* d < modulus */ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(e, 9, &modinfo->modulus, -2) > 0); /* e > -2*modulus */ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(e, 9, &modinfo->modulus, 1) < 0); /* e < modulus */ -#endif } /* Compute (t/2^30) * [f, g], where t is a transition matrix for 30 divsteps. @@ -547,35 +546,31 @@ static void secp256k1_modinv32(secp256k1_modinv32_signed30 *x, const secp256k1_m /* Update d,e using that transition matrix. */ secp256k1_modinv32_update_de_30(&d, &e, &t, modinfo); /* Update f,g using that transition matrix. */ -#ifdef VERIFY VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&f, 9, &modinfo->modulus, -1) > 0); /* f > -modulus */ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&f, 9, &modinfo->modulus, 1) <= 0); /* f <= modulus */ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&g, 9, &modinfo->modulus, -1) > 0); /* g > -modulus */ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&g, 9, &modinfo->modulus, 1) < 0); /* g < modulus */ -#endif + secp256k1_modinv32_update_fg_30(&f, &g, &t); -#ifdef VERIFY + VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&f, 9, &modinfo->modulus, -1) > 0); /* f > -modulus */ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&f, 9, &modinfo->modulus, 1) <= 0); /* f <= modulus */ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&g, 9, &modinfo->modulus, -1) > 0); /* g > -modulus */ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&g, 9, &modinfo->modulus, 1) < 0); /* g < modulus */ -#endif } /* At this point sufficient iterations have been performed that g must have reached 0 * and (if g was not originally 0) f must now equal +/- GCD of the initial f, g * values i.e. +/- 1, and d now contains +/- the modular inverse. */ -#ifdef VERIFY + /* g == 0 */ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&g, 9, &SECP256K1_SIGNED30_ONE, 0) == 0); - /* |f| == 1, or (x == 0 and d == 0 and |f|=modulus) */ + /* |f| == 1, or (x == 0 and d == 0 and f == modulus) */ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&f, 9, &SECP256K1_SIGNED30_ONE, -1) == 0 || secp256k1_modinv32_mul_cmp_30(&f, 9, &SECP256K1_SIGNED30_ONE, 1) == 0 || (secp256k1_modinv32_mul_cmp_30(x, 9, &SECP256K1_SIGNED30_ONE, 0) == 0 && secp256k1_modinv32_mul_cmp_30(&d, 9, &SECP256K1_SIGNED30_ONE, 0) == 0 && - (secp256k1_modinv32_mul_cmp_30(&f, 9, &modinfo->modulus, 1) == 0 || - secp256k1_modinv32_mul_cmp_30(&f, 9, &modinfo->modulus, -1) == 0))); -#endif + secp256k1_modinv32_mul_cmp_30(&f, 9, &modinfo->modulus, 1) == 0)); /* Optionally negate d, normalize to [0,modulus), and return it. */ secp256k1_modinv32_normalize_30(&d, f.v[8], modinfo); @@ -604,12 +599,12 @@ static void secp256k1_modinv32_var(secp256k1_modinv32_signed30 *x, const secp256 /* Update d,e using that transition matrix. */ secp256k1_modinv32_update_de_30(&d, &e, &t, modinfo); /* Update f,g using that transition matrix. */ -#ifdef VERIFY + VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&f, len, &modinfo->modulus, -1) > 0); /* f > -modulus */ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&f, len, &modinfo->modulus, 1) <= 0); /* f <= modulus */ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&g, len, &modinfo->modulus, -1) > 0); /* g > -modulus */ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&g, len, &modinfo->modulus, 1) < 0); /* g < modulus */ -#endif + secp256k1_modinv32_update_fg_30_var(len, &f, &g, &t); /* If the bottom limb of g is 0, there is a chance g=0. */ if (g.v[0] == 0) { @@ -634,28 +629,25 @@ static void secp256k1_modinv32_var(secp256k1_modinv32_signed30 *x, const secp256 g.v[len - 2] |= (uint32_t)gn << 30; --len; } -#ifdef VERIFY + VERIFY_CHECK(++i < 25); /* We should never need more than 25*30 = 750 divsteps */ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&f, len, &modinfo->modulus, -1) > 0); /* f > -modulus */ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&f, len, &modinfo->modulus, 1) <= 0); /* f <= modulus */ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&g, len, &modinfo->modulus, -1) > 0); /* g > -modulus */ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&g, len, &modinfo->modulus, 1) < 0); /* g < modulus */ -#endif } /* At this point g is 0 and (if g was not originally 0) f must now equal +/- GCD of * the initial f, g values i.e. +/- 1, and d now contains +/- the modular inverse. */ -#ifdef VERIFY + /* g == 0 */ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&g, len, &SECP256K1_SIGNED30_ONE, 0) == 0); - /* |f| == 1, or (x == 0 and d == 0 and |f|=modulus) */ + /* |f| == 1, or (x == 0 and d == 0 and f == modulus) */ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&f, len, &SECP256K1_SIGNED30_ONE, -1) == 0 || secp256k1_modinv32_mul_cmp_30(&f, len, &SECP256K1_SIGNED30_ONE, 1) == 0 || (secp256k1_modinv32_mul_cmp_30(x, 9, &SECP256K1_SIGNED30_ONE, 0) == 0 && secp256k1_modinv32_mul_cmp_30(&d, 9, &SECP256K1_SIGNED30_ONE, 0) == 0 && - (secp256k1_modinv32_mul_cmp_30(&f, len, &modinfo->modulus, 1) == 0 || - secp256k1_modinv32_mul_cmp_30(&f, len, &modinfo->modulus, -1) == 0))); -#endif + secp256k1_modinv32_mul_cmp_30(&f, len, &modinfo->modulus, 1) == 0)); /* Optionally negate d, normalize to [0,modulus), and return it. */ secp256k1_modinv32_normalize_30(&d, f.v[len - 1], modinfo); @@ -694,12 +686,11 @@ static int secp256k1_jacobi32_maybe_var(const secp256k1_modinv32_signed30 *x, co secp256k1_modinv32_trans2x2 t; eta = secp256k1_modinv32_posdivsteps_30_var(eta, f.v[0] | ((uint32_t)f.v[1] << 30), g.v[0] | ((uint32_t)g.v[1] << 30), &t, &jac); /* Update f,g using that transition matrix. */ -#ifdef VERIFY VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&f, len, &modinfo->modulus, 0) > 0); /* f > 0 */ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&f, len, &modinfo->modulus, 1) <= 0); /* f <= modulus */ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&g, len, &modinfo->modulus, 0) > 0); /* g > 0 */ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&g, len, &modinfo->modulus, 1) < 0); /* g < modulus */ -#endif + secp256k1_modinv32_update_fg_30_var(len, &f, &g, &t); /* If the bottom limb of f is 1, there is a chance that f=1. */ if (f.v[0] == 1) { @@ -720,12 +711,11 @@ static int secp256k1_jacobi32_maybe_var(const secp256k1_modinv32_signed30 *x, co cond |= gn; /* If so, reduce length. */ if (cond == 0) --len; -#ifdef VERIFY + VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&f, len, &modinfo->modulus, 0) > 0); /* f > 0 */ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&f, len, &modinfo->modulus, 1) <= 0); /* f <= modulus */ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&g, len, &modinfo->modulus, 0) > 0); /* g > 0 */ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&g, len, &modinfo->modulus, 1) < 0); /* g < modulus */ -#endif } /* The loop failed to converge to f=g after 1500 iterations. Return 0, indicating unknown result. */ diff --git a/src/modinv64_impl.h b/src/modinv64_impl.h index e33727d385..548787bedf 100644 --- a/src/modinv64_impl.h +++ b/src/modinv64_impl.h @@ -88,7 +88,7 @@ static int secp256k1_modinv64_det_check_pow2(const secp256k1_modinv64_trans2x2 * static void secp256k1_modinv64_normalize_62(secp256k1_modinv64_signed62 *r, int64_t sign, const secp256k1_modinv64_modinfo *modinfo) { const int64_t M62 = (int64_t)(UINT64_MAX >> 2); int64_t r0 = r->v[0], r1 = r->v[1], r2 = r->v[2], r3 = r->v[3], r4 = r->v[4]; - int64_t cond_add, cond_negate; + volatile int64_t cond_add, cond_negate; #ifdef VERIFY /* Verify that all limbs are in range (-2^62,2^62). */ @@ -144,7 +144,6 @@ static void secp256k1_modinv64_normalize_62(secp256k1_modinv64_signed62 *r, int6 r->v[3] = r3; r->v[4] = r4; -#ifdef VERIFY VERIFY_CHECK(r0 >> 62 == 0); VERIFY_CHECK(r1 >> 62 == 0); VERIFY_CHECK(r2 >> 62 == 0); @@ -152,7 +151,6 @@ static void secp256k1_modinv64_normalize_62(secp256k1_modinv64_signed62 *r, int6 VERIFY_CHECK(r4 >> 62 == 0); VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(r, 5, &modinfo->modulus, 0) >= 0); /* r >= 0 */ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(r, 5, &modinfo->modulus, 1) < 0); /* r < modulus */ -#endif } /* Compute the transition matrix and eta for 59 divsteps (where zeta=-(delta+1/2)). @@ -175,7 +173,8 @@ static int64_t secp256k1_modinv64_divsteps_59(int64_t zeta, uint64_t f0, uint64_ * being inside [-2^63,2^63) means that casting to signed works correctly. */ uint64_t u = 8, v = 0, q = 0, r = 8; - uint64_t c1, c2, f = f0, g = g0, x, y, z; + volatile uint64_t c1, c2; + uint64_t mask1, mask2, f = f0, g = g0, x, y, z; int i; for (i = 3; i < 62; ++i) { @@ -184,23 +183,25 @@ static int64_t secp256k1_modinv64_divsteps_59(int64_t zeta, uint64_t f0, uint64_ VERIFY_CHECK((q * f0 + r * g0) == g << i); /* Compute conditional masks for (zeta < 0) and for (g & 1). */ c1 = zeta >> 63; - c2 = -(g & 1); + mask1 = c1; + c2 = g & 1; + mask2 = -c2; /* Compute x,y,z, conditionally negated versions of f,u,v. */ - x = (f ^ c1) - c1; - y = (u ^ c1) - c1; - z = (v ^ c1) - c1; + x = (f ^ mask1) - mask1; + y = (u ^ mask1) - mask1; + z = (v ^ mask1) - mask1; /* Conditionally add x,y,z to g,q,r. */ - g += x & c2; - q += y & c2; - r += z & c2; + g += x & mask2; + q += y & mask2; + r += z & mask2; /* In what follows, c1 is a condition mask for (zeta < 0) and (g & 1). */ - c1 &= c2; + mask1 &= mask2; /* Conditionally change zeta into -zeta-2 or zeta-1. */ - zeta = (zeta ^ c1) - 1; + zeta = (zeta ^ mask1) - 1; /* Conditionally add g,q,r to f,u,v. */ - f += g & c1; - u += q & c1; - v += r & c1; + f += g & mask1; + u += q & mask1; + v += r & mask1; /* Shifts */ g >>= 1; u <<= 1; @@ -213,7 +214,7 @@ static int64_t secp256k1_modinv64_divsteps_59(int64_t zeta, uint64_t f0, uint64_ t->v = (int64_t)v; t->q = (int64_t)q; t->r = (int64_t)r; -#ifdef VERIFY + /* The determinant of t must be a power of two. This guarantees that multiplication with t * does not change the gcd of f and g, apart from adding a power-of-2 factor to it (which * will be divided out again). As each divstep's individual matrix has determinant 2, the @@ -221,7 +222,7 @@ static int64_t secp256k1_modinv64_divsteps_59(int64_t zeta, uint64_t f0, uint64_ * 8*identity (which has determinant 2^6) means the overall outputs has determinant * 2^65. */ VERIFY_CHECK(secp256k1_modinv64_det_check_pow2(t, 65, 0)); -#endif + return zeta; } @@ -298,13 +299,13 @@ static int64_t secp256k1_modinv64_divsteps_62_var(int64_t eta, uint64_t f0, uint t->v = (int64_t)v; t->q = (int64_t)q; t->r = (int64_t)r; -#ifdef VERIFY + /* The determinant of t must be a power of two. This guarantees that multiplication with t * does not change the gcd of f and g, apart from adding a power-of-2 factor to it (which * will be divided out again). As each divstep's individual matrix has determinant 2, the * aggregate of 62 of them will have determinant 2^62. */ VERIFY_CHECK(secp256k1_modinv64_det_check_pow2(t, 62, 0)); -#endif + return eta; } @@ -389,13 +390,13 @@ static int64_t secp256k1_modinv64_posdivsteps_62_var(int64_t eta, uint64_t f0, u t->v = (int64_t)v; t->q = (int64_t)q; t->r = (int64_t)r; -#ifdef VERIFY + /* The determinant of t must be a power of two. This guarantees that multiplication with t * does not change the gcd of f and g, apart from adding a power-of-2 factor to it (which * will be divided out again). As each divstep's individual matrix has determinant 2 or -2, * the aggregate of 62 of them will have determinant 2^62 or -2^62. */ VERIFY_CHECK(secp256k1_modinv64_det_check_pow2(t, 62, 1)); -#endif + *jacp = jac; return eta; } @@ -414,14 +415,13 @@ static void secp256k1_modinv64_update_de_62(secp256k1_modinv64_signed62 *d, secp const int64_t u = t->u, v = t->v, q = t->q, r = t->r; int64_t md, me, sd, se; secp256k1_int128 cd, ce; -#ifdef VERIFY VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(d, 5, &modinfo->modulus, -2) > 0); /* d > -2*modulus */ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(d, 5, &modinfo->modulus, 1) < 0); /* d < modulus */ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(e, 5, &modinfo->modulus, -2) > 0); /* e > -2*modulus */ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(e, 5, &modinfo->modulus, 1) < 0); /* e < modulus */ VERIFY_CHECK(secp256k1_modinv64_abs(u) <= (((int64_t)1 << 62) - secp256k1_modinv64_abs(v))); /* |u|+|v| <= 2^62 */ VERIFY_CHECK(secp256k1_modinv64_abs(q) <= (((int64_t)1 << 62) - secp256k1_modinv64_abs(r))); /* |q|+|r| <= 2^62 */ -#endif + /* [md,me] start as zero; plus [u,q] if d is negative; plus [v,r] if e is negative. */ sd = d4 >> 63; se = e4 >> 63; @@ -486,12 +486,11 @@ static void secp256k1_modinv64_update_de_62(secp256k1_modinv64_signed62 *d, secp /* What remains is limb 5 of t*[d,e]+modulus*[md,me]; store it as output limb 4. */ d->v[4] = secp256k1_i128_to_i64(&cd); e->v[4] = secp256k1_i128_to_i64(&ce); -#ifdef VERIFY + VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(d, 5, &modinfo->modulus, -2) > 0); /* d > -2*modulus */ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(d, 5, &modinfo->modulus, 1) < 0); /* d < modulus */ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(e, 5, &modinfo->modulus, -2) > 0); /* e > -2*modulus */ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(e, 5, &modinfo->modulus, 1) < 0); /* e < modulus */ -#endif } /* Compute (t/2^62) * [f, g], where t is a transition matrix scaled by 2^62. @@ -603,35 +602,31 @@ static void secp256k1_modinv64(secp256k1_modinv64_signed62 *x, const secp256k1_m /* Update d,e using that transition matrix. */ secp256k1_modinv64_update_de_62(&d, &e, &t, modinfo); /* Update f,g using that transition matrix. */ -#ifdef VERIFY VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&f, 5, &modinfo->modulus, -1) > 0); /* f > -modulus */ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&f, 5, &modinfo->modulus, 1) <= 0); /* f <= modulus */ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&g, 5, &modinfo->modulus, -1) > 0); /* g > -modulus */ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&g, 5, &modinfo->modulus, 1) < 0); /* g < modulus */ -#endif + secp256k1_modinv64_update_fg_62(&f, &g, &t); -#ifdef VERIFY + VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&f, 5, &modinfo->modulus, -1) > 0); /* f > -modulus */ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&f, 5, &modinfo->modulus, 1) <= 0); /* f <= modulus */ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&g, 5, &modinfo->modulus, -1) > 0); /* g > -modulus */ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&g, 5, &modinfo->modulus, 1) < 0); /* g < modulus */ -#endif } /* At this point sufficient iterations have been performed that g must have reached 0 * and (if g was not originally 0) f must now equal +/- GCD of the initial f, g * values i.e. +/- 1, and d now contains +/- the modular inverse. */ -#ifdef VERIFY + /* g == 0 */ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&g, 5, &SECP256K1_SIGNED62_ONE, 0) == 0); - /* |f| == 1, or (x == 0 and d == 0 and |f|=modulus) */ + /* |f| == 1, or (x == 0 and d == 0 and f == modulus) */ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&f, 5, &SECP256K1_SIGNED62_ONE, -1) == 0 || secp256k1_modinv64_mul_cmp_62(&f, 5, &SECP256K1_SIGNED62_ONE, 1) == 0 || (secp256k1_modinv64_mul_cmp_62(x, 5, &SECP256K1_SIGNED62_ONE, 0) == 0 && secp256k1_modinv64_mul_cmp_62(&d, 5, &SECP256K1_SIGNED62_ONE, 0) == 0 && - (secp256k1_modinv64_mul_cmp_62(&f, 5, &modinfo->modulus, 1) == 0 || - secp256k1_modinv64_mul_cmp_62(&f, 5, &modinfo->modulus, -1) == 0))); -#endif + secp256k1_modinv64_mul_cmp_62(&f, 5, &modinfo->modulus, 1) == 0)); /* Optionally negate d, normalize to [0,modulus), and return it. */ secp256k1_modinv64_normalize_62(&d, f.v[4], modinfo); @@ -660,12 +655,11 @@ static void secp256k1_modinv64_var(secp256k1_modinv64_signed62 *x, const secp256 /* Update d,e using that transition matrix. */ secp256k1_modinv64_update_de_62(&d, &e, &t, modinfo); /* Update f,g using that transition matrix. */ -#ifdef VERIFY VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&f, len, &modinfo->modulus, -1) > 0); /* f > -modulus */ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&f, len, &modinfo->modulus, 1) <= 0); /* f <= modulus */ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&g, len, &modinfo->modulus, -1) > 0); /* g > -modulus */ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&g, len, &modinfo->modulus, 1) < 0); /* g < modulus */ -#endif + secp256k1_modinv64_update_fg_62_var(len, &f, &g, &t); /* If the bottom limb of g is zero, there is a chance that g=0. */ if (g.v[0] == 0) { @@ -690,28 +684,25 @@ static void secp256k1_modinv64_var(secp256k1_modinv64_signed62 *x, const secp256 g.v[len - 2] |= (uint64_t)gn << 62; --len; } -#ifdef VERIFY + VERIFY_CHECK(++i < 12); /* We should never need more than 12*62 = 744 divsteps */ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&f, len, &modinfo->modulus, -1) > 0); /* f > -modulus */ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&f, len, &modinfo->modulus, 1) <= 0); /* f <= modulus */ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&g, len, &modinfo->modulus, -1) > 0); /* g > -modulus */ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&g, len, &modinfo->modulus, 1) < 0); /* g < modulus */ -#endif } /* At this point g is 0 and (if g was not originally 0) f must now equal +/- GCD of * the initial f, g values i.e. +/- 1, and d now contains +/- the modular inverse. */ -#ifdef VERIFY + /* g == 0 */ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&g, len, &SECP256K1_SIGNED62_ONE, 0) == 0); - /* |f| == 1, or (x == 0 and d == 0 and |f|=modulus) */ + /* |f| == 1, or (x == 0 and d == 0 and f == modulus) */ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&f, len, &SECP256K1_SIGNED62_ONE, -1) == 0 || secp256k1_modinv64_mul_cmp_62(&f, len, &SECP256K1_SIGNED62_ONE, 1) == 0 || (secp256k1_modinv64_mul_cmp_62(x, 5, &SECP256K1_SIGNED62_ONE, 0) == 0 && secp256k1_modinv64_mul_cmp_62(&d, 5, &SECP256K1_SIGNED62_ONE, 0) == 0 && - (secp256k1_modinv64_mul_cmp_62(&f, len, &modinfo->modulus, 1) == 0 || - secp256k1_modinv64_mul_cmp_62(&f, len, &modinfo->modulus, -1) == 0))); -#endif + secp256k1_modinv64_mul_cmp_62(&f, len, &modinfo->modulus, 1) == 0)); /* Optionally negate d, normalize to [0,modulus), and return it. */ secp256k1_modinv64_normalize_62(&d, f.v[len - 1], modinfo); @@ -750,12 +741,11 @@ static int secp256k1_jacobi64_maybe_var(const secp256k1_modinv64_signed62 *x, co secp256k1_modinv64_trans2x2 t; eta = secp256k1_modinv64_posdivsteps_62_var(eta, f.v[0] | ((uint64_t)f.v[1] << 62), g.v[0] | ((uint64_t)g.v[1] << 62), &t, &jac); /* Update f,g using that transition matrix. */ -#ifdef VERIFY VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&f, len, &modinfo->modulus, 0) > 0); /* f > 0 */ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&f, len, &modinfo->modulus, 1) <= 0); /* f <= modulus */ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&g, len, &modinfo->modulus, 0) > 0); /* g > 0 */ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&g, len, &modinfo->modulus, 1) < 0); /* g < modulus */ -#endif + secp256k1_modinv64_update_fg_62_var(len, &f, &g, &t); /* If the bottom limb of f is 1, there is a chance that f=1. */ if (f.v[0] == 1) { @@ -776,12 +766,11 @@ static int secp256k1_jacobi64_maybe_var(const secp256k1_modinv64_signed62 *x, co cond |= gn; /* If so, reduce length. */ if (cond == 0) --len; -#ifdef VERIFY + VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&f, len, &modinfo->modulus, 0) > 0); /* f > 0 */ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&f, len, &modinfo->modulus, 1) <= 0); /* f <= modulus */ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&g, len, &modinfo->modulus, 0) > 0); /* g > 0 */ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&g, len, &modinfo->modulus, 1) < 0); /* g < modulus */ -#endif } /* The loop failed to converge to f=g after 1550 iterations. Return 0, indicating unknown result. */ diff --git a/src/modules/ecdh/Makefile.am.include b/src/modules/ecdh/Makefile.am.include index 7f7f95f1fd..1866053529 100644 --- a/src/modules/ecdh/Makefile.am.include +++ b/src/modules/ecdh/Makefile.am.include @@ -2,3 +2,4 @@ include_HEADERS += include/secp256k1_ecdh.h noinst_HEADERS += src/modules/ecdh/main_impl.h noinst_HEADERS += src/modules/ecdh/tests_impl.h noinst_HEADERS += src/modules/ecdh/bench_impl.h +noinst_HEADERS += src/wycheproof/ecdh_secp256k1_test.h diff --git a/src/modules/ecdh/bench_impl.h b/src/modules/ecdh/bench_impl.h index c23aaa94d1..8924e1fabe 100644 --- a/src/modules/ecdh/bench_impl.h +++ b/src/modules/ecdh/bench_impl.h @@ -10,7 +10,7 @@ #include "../../../include/secp256k1_ecdh.h" typedef struct { - secp256k1_context *ctx; + const secp256k1_context *ctx; secp256k1_pubkey point; unsigned char scalar[32]; } bench_ecdh_data; @@ -46,12 +46,9 @@ static void run_ecdh_bench(int iters, int argc, char** argv) { bench_ecdh_data data; int d = argc == 1; - /* create a context with no capabilities */ - data.ctx = secp256k1_context_create(SECP256K1_FLAGS_TYPE_CONTEXT); + data.ctx = secp256k1_context_static; if (d || have_flag(argc, argv, "ecdh")) run_benchmark("ecdh", bench_ecdh, bench_ecdh_setup, NULL, &data, 10, iters); - - secp256k1_context_destroy(data.ctx); } #endif /* SECP256K1_MODULE_ECDH_BENCH_H */ diff --git a/src/modules/ecdh/main_impl.h b/src/modules/ecdh/main_impl.h index 5408c9de70..9f2dfdd56a 100644 --- a/src/modules/ecdh/main_impl.h +++ b/src/modules/ecdh/main_impl.h @@ -19,6 +19,7 @@ static int ecdh_hash_function_sha256(unsigned char *output, const unsigned char secp256k1_sha256_write(&sha, &version, 1); secp256k1_sha256_write(&sha, x32, 32); secp256k1_sha256_finalize(&sha, output); + secp256k1_sha256_clear(&sha); return 1; } @@ -50,7 +51,7 @@ int secp256k1_ecdh(const secp256k1_context* ctx, unsigned char *output, const se overflow |= secp256k1_scalar_is_zero(&s); secp256k1_scalar_cmov(&s, &secp256k1_scalar_one, overflow); - secp256k1_ecmult_const(&res, &pt, &s, 256); + secp256k1_ecmult_const(&res, &pt, &s); secp256k1_ge_set_gej(&pt, &res); /* Compute a hash of the point */ @@ -61,9 +62,11 @@ int secp256k1_ecdh(const secp256k1_context* ctx, unsigned char *output, const se ret = hashfp(output, x, y, data); - memset(x, 0, 32); - memset(y, 0, 32); + secp256k1_memclear_explicit(x, sizeof(x)); + secp256k1_memclear_explicit(y, sizeof(y)); secp256k1_scalar_clear(&s); + secp256k1_ge_clear(&pt); + secp256k1_gej_clear(&res); return !!ret & !overflow; } diff --git a/src/modules/ecdh/tests_impl.h b/src/modules/ecdh/tests_impl.h index fa6f232227..cb1d953d2a 100644 --- a/src/modules/ecdh/tests_impl.h +++ b/src/modules/ecdh/tests_impl.h @@ -7,6 +7,15 @@ #ifndef SECP256K1_MODULE_ECDH_TESTS_H #define SECP256K1_MODULE_ECDH_TESTS_H +#include "../../unit_test.h" + +static int ecdh_hash_function_test_xpassthru(unsigned char *output, const unsigned char *x, const unsigned char *y, void *data) { + (void)y; + (void)data; + memcpy(output, x, 32); + return 1; +} + static int ecdh_hash_function_test_fail(unsigned char *output, const unsigned char *x, const unsigned char *y, void *data) { (void)output; (void)x; @@ -25,32 +34,19 @@ static int ecdh_hash_function_custom(unsigned char *output, const unsigned char } static void test_ecdh_api(void) { - /* Setup context that just counts errors */ - secp256k1_context *tctx = secp256k1_context_create(SECP256K1_CONTEXT_NONE); secp256k1_pubkey point; unsigned char res[32]; unsigned char s_one[32] = { 0 }; - int32_t ecount = 0; s_one[31] = 1; - secp256k1_context_set_error_callback(tctx, counting_illegal_callback_fn, &ecount); - secp256k1_context_set_illegal_callback(tctx, counting_illegal_callback_fn, &ecount); - CHECK(secp256k1_ec_pubkey_create(tctx, &point, s_one) == 1); + CHECK(secp256k1_ec_pubkey_create(CTX, &point, s_one) == 1); /* Check all NULLs are detected */ - CHECK(secp256k1_ecdh(tctx, res, &point, s_one, NULL, NULL) == 1); - CHECK(ecount == 0); - CHECK(secp256k1_ecdh(tctx, NULL, &point, s_one, NULL, NULL) == 0); - CHECK(ecount == 1); - CHECK(secp256k1_ecdh(tctx, res, NULL, s_one, NULL, NULL) == 0); - CHECK(ecount == 2); - CHECK(secp256k1_ecdh(tctx, res, &point, NULL, NULL, NULL) == 0); - CHECK(ecount == 3); - CHECK(secp256k1_ecdh(tctx, res, &point, s_one, NULL, NULL) == 1); - CHECK(ecount == 3); - - /* Cleanup */ - secp256k1_context_destroy(tctx); + CHECK(secp256k1_ecdh(CTX, res, &point, s_one, NULL, NULL) == 1); + CHECK_ILLEGAL(CTX, secp256k1_ecdh(CTX, NULL, &point, s_one, NULL, NULL)); + CHECK_ILLEGAL(CTX, secp256k1_ecdh(CTX, res, NULL, s_one, NULL, NULL)); + CHECK_ILLEGAL(CTX, secp256k1_ecdh(CTX, res, &point, NULL, NULL, NULL)); + CHECK(secp256k1_ecdh(CTX, res, &point, s_one, NULL, NULL) == 1); } static void test_ecdh_generator_basepoint(void) { @@ -69,7 +65,7 @@ static void test_ecdh_generator_basepoint(void) { size_t point_ser_len = sizeof(point_ser); secp256k1_scalar s; - random_scalar_order(&s); + testutil_random_scalar_order(&s); secp256k1_scalar_get_b32(s_b32, &s); CHECK(secp256k1_ec_pubkey_create(CTX, &point[0], s_one) == 1); @@ -96,23 +92,19 @@ static void test_ecdh_generator_basepoint(void) { static void test_bad_scalar(void) { unsigned char s_zero[32] = { 0 }; - unsigned char s_overflow[32] = { - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, - 0xba, 0xae, 0xdc, 0xe6, 0xaf, 0x48, 0xa0, 0x3b, - 0xbf, 0xd2, 0x5e, 0x8c, 0xd0, 0x36, 0x41, 0x41 - }; + unsigned char s_overflow[32] = { 0 }; unsigned char s_rand[32] = { 0 }; unsigned char output[32]; secp256k1_scalar rand; secp256k1_pubkey point; /* Create random point */ - random_scalar_order(&rand); + testutil_random_scalar_order(&rand); secp256k1_scalar_get_b32(s_rand, &rand); CHECK(secp256k1_ec_pubkey_create(CTX, &point, s_rand) == 1); /* Try to multiply it by bad values */ + memcpy(s_overflow, secp256k1_group_order_bytes, 32); CHECK(secp256k1_ecdh(CTX, output, &point, s_zero, NULL, NULL) == 0); CHECK(secp256k1_ecdh(CTX, output, &point, s_overflow, NULL, NULL) == 0); /* ...and a good one */ @@ -140,7 +132,7 @@ static void test_result_basepoint(void) { CHECK(secp256k1_ecdh(CTX, out_base, &point, s_one, NULL, NULL) == 1); for (i = 0; i < 2 * COUNT; i++) { - random_scalar_order(&rand); + testutil_random_scalar_order(&rand); secp256k1_scalar_get_b32(s, &rand); secp256k1_scalar_inverse(&rand, &rand); secp256k1_scalar_get_b32(s_inv, &rand); @@ -155,11 +147,46 @@ static void test_result_basepoint(void) { } } -static void run_ecdh_tests(void) { - test_ecdh_api(); - test_ecdh_generator_basepoint(); - test_bad_scalar(); - test_result_basepoint(); +static void test_ecdh_wycheproof(void) { +#include "../../wycheproof/ecdh_secp256k1_test.h" + int t; + for (t = 0; t < SECP256K1_ECDH_WYCHEPROOF_NUMBER_TESTVECTORS; t++) { + int parsed_ok; + secp256k1_pubkey point; + const unsigned char *pk; + const unsigned char *sk; + const unsigned char *expected_shared_secret; + unsigned char output_ecdh[65] = { 0 }; + + int expected_result; + + memset(&point, 0, sizeof(point)); + pk = &wycheproof_ecdh_public_keys[testvectors[t].pk_offset]; + parsed_ok = secp256k1_ec_pubkey_parse(CTX, &point, pk, testvectors[t].pk_len); + + expected_result = testvectors[t].expected_result; + CHECK(parsed_ok == expected_result); + if (!parsed_ok) { + continue; + } + + sk = &wycheproof_ecdh_private_keys[testvectors[t].sk_offset]; + CHECK(testvectors[t].sk_len == 32); + + CHECK(secp256k1_ecdh(CTX, output_ecdh, &point, sk, ecdh_hash_function_test_xpassthru, NULL) == 1); + expected_shared_secret = &wycheproof_ecdh_shared_secrets[testvectors[t].shared_offset]; + + CHECK(secp256k1_memcmp_var(output_ecdh, expected_shared_secret, testvectors[t].shared_len) == 0); + } } +/* --- Test registry --- */ +static const struct tf_test_entry tests_ecdh[] = { + CASE1(test_ecdh_api), + CASE1(test_ecdh_generator_basepoint), + CASE1(test_bad_scalar), + CASE1(test_result_basepoint), + CASE1(test_ecdh_wycheproof), +}; + #endif /* SECP256K1_MODULE_ECDH_TESTS_H */ diff --git a/src/modules/ellswift/Makefile.am.include b/src/modules/ellswift/Makefile.am.include new file mode 100644 index 0000000000..8251231ea3 --- /dev/null +++ b/src/modules/ellswift/Makefile.am.include @@ -0,0 +1,5 @@ +include_HEADERS += include/secp256k1_ellswift.h +noinst_HEADERS += src/modules/ellswift/bench_impl.h +noinst_HEADERS += src/modules/ellswift/main_impl.h +noinst_HEADERS += src/modules/ellswift/tests_impl.h +noinst_HEADERS += src/modules/ellswift/tests_exhaustive_impl.h diff --git a/src/modules/ellswift/bench_impl.h b/src/modules/ellswift/bench_impl.h new file mode 100644 index 0000000000..b16a3a3687 --- /dev/null +++ b/src/modules/ellswift/bench_impl.h @@ -0,0 +1,106 @@ +/*********************************************************************** + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ + +#ifndef SECP256K1_MODULE_ELLSWIFT_BENCH_H +#define SECP256K1_MODULE_ELLSWIFT_BENCH_H + +#include "../../../include/secp256k1_ellswift.h" + +typedef struct { + secp256k1_context *ctx; + secp256k1_pubkey point[256]; + unsigned char rnd64[64]; +} bench_ellswift_data; + +static void bench_ellswift_setup(void *arg) { + int i; + bench_ellswift_data *data = (bench_ellswift_data*)arg; + static const unsigned char init[64] = { + 0x78, 0x1f, 0xb7, 0xd4, 0x67, 0x7f, 0x08, 0x68, + 0xdb, 0xe3, 0x1d, 0x7f, 0x1b, 0xb0, 0xf6, 0x9e, + 0x0a, 0x64, 0xca, 0x32, 0x9e, 0xc6, 0x20, 0x79, + 0x03, 0xf3, 0xd0, 0x46, 0x7a, 0x0f, 0xd2, 0x21, + 0xb0, 0x2c, 0x46, 0xd8, 0xba, 0xca, 0x26, 0x4f, + 0x8f, 0x8c, 0xd4, 0xdd, 0x2d, 0x04, 0xbe, 0x30, + 0x48, 0x51, 0x1e, 0xd4, 0x16, 0xfd, 0x42, 0x85, + 0x62, 0xc9, 0x02, 0xf9, 0x89, 0x84, 0xff, 0xdc + }; + memcpy(data->rnd64, init, 64); + for (i = 0; i < 256; ++i) { + int j; + CHECK(secp256k1_ellswift_decode(data->ctx, &data->point[i], data->rnd64)); + for (j = 0; j < 64; ++j) { + data->rnd64[j] += 1; + } + } + CHECK(secp256k1_ellswift_encode(data->ctx, data->rnd64, &data->point[255], init + 16)); +} + +static void bench_ellswift_encode(void *arg, int iters) { + int i; + bench_ellswift_data *data = (bench_ellswift_data*)arg; + + for (i = 0; i < iters; i++) { + CHECK(secp256k1_ellswift_encode(data->ctx, data->rnd64, &data->point[i & 255], data->rnd64 + 16)); + } +} + +static void bench_ellswift_create(void *arg, int iters) { + int i; + bench_ellswift_data *data = (bench_ellswift_data*)arg; + + for (i = 0; i < iters; i++) { + unsigned char buf[64]; + CHECK(secp256k1_ellswift_create(data->ctx, buf, data->rnd64, data->rnd64 + 32)); + memcpy(data->rnd64, buf, 64); + } +} + +static void bench_ellswift_decode(void *arg, int iters) { + int i; + secp256k1_pubkey out; + size_t len; + bench_ellswift_data *data = (bench_ellswift_data*)arg; + + for (i = 0; i < iters; i++) { + CHECK(secp256k1_ellswift_decode(data->ctx, &out, data->rnd64) == 1); + len = 33; + CHECK(secp256k1_ec_pubkey_serialize(data->ctx, data->rnd64 + (i % 32), &len, &out, SECP256K1_EC_COMPRESSED)); + } +} + +static void bench_ellswift_xdh(void *arg, int iters) { + int i; + bench_ellswift_data *data = (bench_ellswift_data*)arg; + + for (i = 0; i < iters; i++) { + int party = i & 1; + CHECK(secp256k1_ellswift_xdh(data->ctx, + data->rnd64 + (i % 33), + data->rnd64, + data->rnd64, + data->rnd64 + ((i + 16) % 33), + party, + secp256k1_ellswift_xdh_hash_function_bip324, + NULL) == 1); + } +} + +void run_ellswift_bench(int iters, int argc, char **argv) { + bench_ellswift_data data; + int d = argc == 1; + + /* create a context with signing capabilities */ + data.ctx = secp256k1_context_create(SECP256K1_CONTEXT_NONE); + + if (d || have_flag(argc, argv, "ellswift") || have_flag(argc, argv, "encode") || have_flag(argc, argv, "ellswift_encode")) run_benchmark("ellswift_encode", bench_ellswift_encode, bench_ellswift_setup, NULL, &data, 10, iters); + if (d || have_flag(argc, argv, "ellswift") || have_flag(argc, argv, "decode") || have_flag(argc, argv, "ellswift_decode")) run_benchmark("ellswift_decode", bench_ellswift_decode, bench_ellswift_setup, NULL, &data, 10, iters); + if (d || have_flag(argc, argv, "ellswift") || have_flag(argc, argv, "keygen") || have_flag(argc, argv, "ellswift_keygen")) run_benchmark("ellswift_keygen", bench_ellswift_create, bench_ellswift_setup, NULL, &data, 10, iters); + if (d || have_flag(argc, argv, "ellswift") || have_flag(argc, argv, "ecdh") || have_flag(argc, argv, "ellswift_ecdh")) run_benchmark("ellswift_ecdh", bench_ellswift_xdh, bench_ellswift_setup, NULL, &data, 10, iters); + + secp256k1_context_destroy(data.ctx); +} + +#endif diff --git a/src/modules/ellswift/main_impl.h b/src/modules/ellswift/main_impl.h new file mode 100644 index 0000000000..096f4a3c71 --- /dev/null +++ b/src/modules/ellswift/main_impl.h @@ -0,0 +1,585 @@ +/*********************************************************************** + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ + +#ifndef SECP256K1_MODULE_ELLSWIFT_MAIN_H +#define SECP256K1_MODULE_ELLSWIFT_MAIN_H + +#include "../../../include/secp256k1.h" +#include "../../../include/secp256k1_ellswift.h" +#include "../../eckey.h" +#include "../../hash.h" + +/** c1 = (sqrt(-3)-1)/2 */ +static const secp256k1_fe secp256k1_ellswift_c1 = SECP256K1_FE_CONST(0x851695d4, 0x9a83f8ef, 0x919bb861, 0x53cbcb16, 0x630fb68a, 0xed0a766a, 0x3ec693d6, 0x8e6afa40); +/** c2 = (-sqrt(-3)-1)/2 = -(c1+1) */ +static const secp256k1_fe secp256k1_ellswift_c2 = SECP256K1_FE_CONST(0x7ae96a2b, 0x657c0710, 0x6e64479e, 0xac3434e9, 0x9cf04975, 0x12f58995, 0xc1396c28, 0x719501ee); +/** c3 = (-sqrt(-3)+1)/2 = -c1 = c2+1 */ +static const secp256k1_fe secp256k1_ellswift_c3 = SECP256K1_FE_CONST(0x7ae96a2b, 0x657c0710, 0x6e64479e, 0xac3434e9, 0x9cf04975, 0x12f58995, 0xc1396c28, 0x719501ef); +/** c4 = (sqrt(-3)+1)/2 = -c2 = c1+1 */ +static const secp256k1_fe secp256k1_ellswift_c4 = SECP256K1_FE_CONST(0x851695d4, 0x9a83f8ef, 0x919bb861, 0x53cbcb16, 0x630fb68a, 0xed0a766a, 0x3ec693d6, 0x8e6afa41); + +/** Decode ElligatorSwift encoding (u, t) to a fraction xn/xd representing a curve X coordinate. */ +static void secp256k1_ellswift_xswiftec_frac_var(secp256k1_fe *xn, secp256k1_fe *xd, const secp256k1_fe *u, const secp256k1_fe *t) { + /* The implemented algorithm is the following (all operations in GF(p)): + * + * - Let c0 = sqrt(-3) = 0xa2d2ba93507f1df233770c2a797962cc61f6d15da14ecd47d8d27ae1cd5f852. + * - If u = 0, set u = 1. + * - If t = 0, set t = 1. + * - If u^3+7+t^2 = 0, set t = 2*t. + * - Let X = (u^3+7-t^2)/(2*t). + * - Let Y = (X+t)/(c0*u). + * - If x3 = u+4*Y^2 is a valid x coordinate, return it. + * - If x2 = (-X/Y-u)/2 is a valid x coordinate, return it. + * - Return x1 = (X/Y-u)/2 (which is now guaranteed to be a valid x coordinate). + * + * Introducing s=t^2, g=u^3+7, and simplifying x1=-(x2+u) we get: + * + * - Let c0 = ... + * - If u = 0, set u = 1. + * - If t = 0, set t = 1. + * - Let s = t^2 + * - Let g = u^3+7 + * - If g+s = 0, set t = 2*t, s = 4*s + * - Let X = (g-s)/(2*t). + * - Let Y = (X+t)/(c0*u) = (g+s)/(2*c0*t*u). + * - If x3 = u+4*Y^2 is a valid x coordinate, return it. + * - If x2 = (-X/Y-u)/2 is a valid x coordinate, return it. + * - Return x1 = -(x2+u). + * + * Now substitute Y^2 = -(g+s)^2/(12*s*u^2) and X/Y = c0*u*(g-s)/(g+s). This + * means X and Y do not need to be evaluated explicitly anymore. + * + * - ... + * - If g+s = 0, set s = 4*s. + * - If x3 = u-(g+s)^2/(3*s*u^2) is a valid x coordinate, return it. + * - If x2 = (-c0*u*(g-s)/(g+s)-u)/2 is a valid x coordinate, return it. + * - Return x1 = -(x2+u). + * + * Simplifying x2 using 2 additional constants: + * + * - Let c1 = (c0-1)/2 = 0x851695d49a83f8ef919bb86153cbcb16630fb68aed0a766a3ec693d68e6afa40. + * - Let c2 = (-c0-1)/2 = 0x7ae96a2b657c07106e64479eac3434e99cf0497512f58995c1396c28719501ee. + * - ... + * - If x2 = u*(c1*s+c2*g)/(g+s) is a valid x coordinate, return it. + * - ... + * + * Writing x3 as a fraction: + * + * - ... + * - If x3 = (3*s*u^3-(g+s)^2)/(3*s*u^2) ... + * - ... + + * Overall, we get: + * + * - Let c1 = 0x851695d49a83f8ef919bb86153cbcb16630fb68aed0a766a3ec693d68e6afa40. + * - Let c2 = 0x7ae96a2b657c07106e64479eac3434e99cf0497512f58995c1396c28719501ee. + * - If u = 0, set u = 1. + * - If t = 0, set s = 1, else set s = t^2. + * - Let g = u^3+7. + * - If g+s = 0, set s = 4*s. + * - If x3 = (3*s*u^3-(g+s)^2)/(3*s*u^2) is a valid x coordinate, return it. + * - If x2 = u*(c1*s+c2*g)/(g+s) is a valid x coordinate, return it. + * - Return x1 = -(x2+u). + */ + secp256k1_fe u1, s, g, p, d, n, l; + u1 = *u; + if (EXPECT(secp256k1_fe_normalizes_to_zero_var(&u1), 0)) u1 = secp256k1_fe_one; + secp256k1_fe_sqr(&s, t); + if (EXPECT(secp256k1_fe_normalizes_to_zero_var(t), 0)) s = secp256k1_fe_one; + secp256k1_fe_sqr(&l, &u1); /* l = u^2 */ + secp256k1_fe_mul(&g, &l, &u1); /* g = u^3 */ + secp256k1_fe_add_int(&g, SECP256K1_B); /* g = u^3 + 7 */ + p = g; /* p = g */ + secp256k1_fe_add(&p, &s); /* p = g+s */ + if (EXPECT(secp256k1_fe_normalizes_to_zero_var(&p), 0)) { + secp256k1_fe_mul_int(&s, 4); + /* Recompute p = g+s */ + p = g; /* p = g */ + secp256k1_fe_add(&p, &s); /* p = g+s */ + } + secp256k1_fe_mul(&d, &s, &l); /* d = s*u^2 */ + secp256k1_fe_mul_int(&d, 3); /* d = 3*s*u^2 */ + secp256k1_fe_sqr(&l, &p); /* l = (g+s)^2 */ + secp256k1_fe_negate(&l, &l, 1); /* l = -(g+s)^2 */ + secp256k1_fe_mul(&n, &d, &u1); /* n = 3*s*u^3 */ + secp256k1_fe_add(&n, &l); /* n = 3*s*u^3-(g+s)^2 */ + if (secp256k1_ge_x_frac_on_curve_var(&n, &d)) { + /* Return x3 = n/d = (3*s*u^3-(g+s)^2)/(3*s*u^2) */ + *xn = n; + *xd = d; + return; + } + *xd = p; + secp256k1_fe_mul(&l, &secp256k1_ellswift_c1, &s); /* l = c1*s */ + secp256k1_fe_mul(&n, &secp256k1_ellswift_c2, &g); /* n = c2*g */ + secp256k1_fe_add(&n, &l); /* n = c1*s+c2*g */ + secp256k1_fe_mul(&n, &n, &u1); /* n = u*(c1*s+c2*g) */ + /* Possible optimization: in the invocation below, p^2 = (g+s)^2 is computed, + * which we already have computed above. This could be deduplicated. */ + if (secp256k1_ge_x_frac_on_curve_var(&n, &p)) { + /* Return x2 = n/p = u*(c1*s+c2*g)/(g+s) */ + *xn = n; + return; + } + secp256k1_fe_mul(&l, &p, &u1); /* l = u*(g+s) */ + secp256k1_fe_add(&n, &l); /* n = u*(c1*s+c2*g)+u*(g+s) */ + secp256k1_fe_negate(xn, &n, 2); /* n = -u*(c1*s+c2*g)-u*(g+s) */ + + VERIFY_CHECK(secp256k1_ge_x_frac_on_curve_var(xn, &p)); + /* Return x3 = n/p = -(u*(c1*s+c2*g)/(g+s)+u) */ +} + +/** Decode ElligatorSwift encoding (u, t) to X coordinate. */ +static void secp256k1_ellswift_xswiftec_var(secp256k1_fe *x, const secp256k1_fe *u, const secp256k1_fe *t) { + secp256k1_fe xn, xd; + secp256k1_ellswift_xswiftec_frac_var(&xn, &xd, u, t); + secp256k1_fe_inv_var(&xd, &xd); + secp256k1_fe_mul(x, &xn, &xd); +} + +/** Decode ElligatorSwift encoding (u, t) to point P. */ +static void secp256k1_ellswift_swiftec_var(secp256k1_ge *p, const secp256k1_fe *u, const secp256k1_fe *t) { + secp256k1_fe x; + secp256k1_ellswift_xswiftec_var(&x, u, t); + secp256k1_ge_set_xo_var(p, &x, secp256k1_fe_is_odd(t)); +} + +/* Try to complete an ElligatorSwift encoding (u, t) for X coordinate x, given u and x. + * + * There may be up to 8 distinct t values such that (u, t) decodes back to x, but also + * fewer, or none at all. Each such partial inverse can be accessed individually using a + * distinct input argument c (in range 0-7), and some or all of these may return failure. + * The following guarantees exist: + * - Given (x, u), no two distinct c values give the same successful result t. + * - Every successful result maps back to x through secp256k1_ellswift_xswiftec_var. + * - Given (x, u), all t values that map back to x can be reached by combining the + * successful results from this function over all c values, with the exception of: + * - this function cannot be called with u=0 + * - no result with t=0 will be returned + * - no result for which u^3 + t^2 + 7 = 0 will be returned. + * + * The rather unusual encoding of bits in c (a large "if" based on the middle bit, and then + * using the low and high bits to pick signs of square roots) is to match the paper's + * encoding more closely: c=0 through c=3 match branches 1..4 in the paper, while c=4 through + * c=7 are copies of those with an additional negation of sqrt(w). + */ +static int secp256k1_ellswift_xswiftec_inv_var(secp256k1_fe *t, const secp256k1_fe *x_in, const secp256k1_fe *u_in, int c) { + /* The implemented algorithm is this (all arithmetic, except involving c, is mod p): + * + * - If (c & 2) = 0: + * - If (-x-u) is a valid X coordinate, fail. + * - Let s=-(u^3+7)/(u^2+u*x+x^2). + * - If s is not square, fail. + * - Let v=x. + * - If (c & 2) = 2: + * - Let s=x-u. + * - If s is not square, fail. + * - Let r=sqrt(-s*(4*(u^3+7)+3*u^2*s)); fail if it doesn't exist. + * - If (c & 1) = 1 and r = 0, fail. + * - If s=0, fail. + * - Let v=(r/s-u)/2. + * - Let w=sqrt(s). + * - If (c & 5) = 0: return -w*(c3*u + v). + * - If (c & 5) = 1: return w*(c4*u + v). + * - If (c & 5) = 4: return w*(c3*u + v). + * - If (c & 5) = 5: return -w*(c4*u + v). + */ + secp256k1_fe x = *x_in, u = *u_in, g, v, s, m, r, q; + int ret; + + secp256k1_fe_normalize_weak(&x); + secp256k1_fe_normalize_weak(&u); + + VERIFY_CHECK(c >= 0 && c < 8); + VERIFY_CHECK(secp256k1_ge_x_on_curve_var(&x)); + + if (!(c & 2)) { + /* c is in {0, 1, 4, 5}. In this case we look for an inverse under the x1 (if c=0 or + * c=4) formula, or x2 (if c=1 or c=5) formula. */ + + /* If -u-x is a valid X coordinate, fail. This would yield an encoding that roundtrips + * back under the x3 formula instead (which has priority over x1 and x2, so the decoding + * would not match x). */ + m = x; /* m = x */ + secp256k1_fe_add(&m, &u); /* m = u+x */ + secp256k1_fe_negate(&m, &m, 2); /* m = -u-x */ + /* Test if (-u-x) is a valid X coordinate. If so, fail. */ + if (secp256k1_ge_x_on_curve_var(&m)) return 0; + + /* Let s = -(u^3 + 7)/(u^2 + u*x + x^2) [first part] */ + secp256k1_fe_sqr(&s, &m); /* s = (u+x)^2 */ + secp256k1_fe_negate(&s, &s, 1); /* s = -(u+x)^2 */ + secp256k1_fe_mul(&m, &u, &x); /* m = u*x */ + secp256k1_fe_add(&s, &m); /* s = -(u^2 + u*x + x^2) */ + + /* Note that at this point, s = 0 is impossible. If it were the case: + * s = -(u^2 + u*x + x^2) = 0 + * => u^2 + u*x + x^2 = 0 + * => (u + 2*x) * (u^2 + u*x + x^2) = 0 + * => 2*x^3 + 3*x^2*u + 3*x*u^2 + u^3 = 0 + * => (x + u)^3 + x^3 = 0 + * => x^3 = -(x + u)^3 + * => x^3 + B = (-u - x)^3 + B + * + * However, we know x^3 + B is square (because x is on the curve) and + * that (-u-x)^3 + B is not square (the secp256k1_ge_x_on_curve_var(&m) + * test above would have failed). This is a contradiction, and thus the + * assumption s=0 is false. */ + VERIFY_CHECK(!secp256k1_fe_normalizes_to_zero_var(&s)); + + /* If s is not square, fail. We have not fully computed s yet, but s is square iff + * -(u^3+7)*(u^2+u*x+x^2) is square (because a/b is square iff a*b is square and b is + * nonzero). */ + secp256k1_fe_sqr(&g, &u); /* g = u^2 */ + secp256k1_fe_mul(&g, &g, &u); /* g = u^3 */ + secp256k1_fe_add_int(&g, SECP256K1_B); /* g = u^3+7 */ + secp256k1_fe_mul(&m, &s, &g); /* m = -(u^3 + 7)*(u^2 + u*x + x^2) */ + if (!secp256k1_fe_is_square_var(&m)) return 0; + + /* Let s = -(u^3 + 7)/(u^2 + u*x + x^2) [second part] */ + secp256k1_fe_inv_var(&s, &s); /* s = -1/(u^2 + u*x + x^2) [no div by 0] */ + secp256k1_fe_mul(&s, &s, &g); /* s = -(u^3 + 7)/(u^2 + u*x + x^2) */ + + /* Let v = x. */ + v = x; + } else { + /* c is in {2, 3, 6, 7}. In this case we look for an inverse under the x3 formula. */ + + /* Let s = x-u. */ + secp256k1_fe_negate(&m, &u, 1); /* m = -u */ + s = m; /* s = -u */ + secp256k1_fe_add(&s, &x); /* s = x-u */ + + /* If s is not square, fail. */ + if (!secp256k1_fe_is_square_var(&s)) return 0; + + /* Let r = sqrt(-s*(4*(u^3+7)+3*u^2*s)); fail if it doesn't exist. */ + secp256k1_fe_sqr(&g, &u); /* g = u^2 */ + secp256k1_fe_mul(&q, &s, &g); /* q = s*u^2 */ + secp256k1_fe_mul_int(&q, 3); /* q = 3*s*u^2 */ + secp256k1_fe_mul(&g, &g, &u); /* g = u^3 */ + secp256k1_fe_mul_int(&g, 4); /* g = 4*u^3 */ + secp256k1_fe_add_int(&g, 4 * SECP256K1_B); /* g = 4*(u^3+7) */ + secp256k1_fe_add(&q, &g); /* q = 4*(u^3+7)+3*s*u^2 */ + secp256k1_fe_mul(&q, &q, &s); /* q = s*(4*(u^3+7)+3*u^2*s) */ + secp256k1_fe_negate(&q, &q, 1); /* q = -s*(4*(u^3+7)+3*u^2*s) */ + if (!secp256k1_fe_is_square_var(&q)) return 0; + ret = secp256k1_fe_sqrt(&r, &q); /* r = sqrt(-s*(4*(u^3+7)+3*u^2*s)) */ +#ifdef VERIFY + VERIFY_CHECK(ret); +#else + (void)ret; +#endif + + /* If (c & 1) = 1 and r = 0, fail. */ + if (EXPECT((c & 1) && secp256k1_fe_normalizes_to_zero_var(&r), 0)) return 0; + + /* If s = 0, fail. */ + if (EXPECT(secp256k1_fe_normalizes_to_zero_var(&s), 0)) return 0; + + /* Let v = (r/s-u)/2. */ + secp256k1_fe_inv_var(&v, &s); /* v = 1/s [no div by 0] */ + secp256k1_fe_mul(&v, &v, &r); /* v = r/s */ + secp256k1_fe_add(&v, &m); /* v = r/s-u */ + secp256k1_fe_half(&v); /* v = (r/s-u)/2 */ + } + + /* Let w = sqrt(s). */ + ret = secp256k1_fe_sqrt(&m, &s); /* m = sqrt(s) = w */ + VERIFY_CHECK(ret); + + /* Return logic. */ + if ((c & 5) == 0 || (c & 5) == 5) { + secp256k1_fe_negate(&m, &m, 1); /* m = -w */ + } + /* Now m = {-w if c&5=0 or c&5=5; w otherwise}. */ + secp256k1_fe_mul(&u, &u, c&1 ? &secp256k1_ellswift_c4 : &secp256k1_ellswift_c3); + /* u = {c4 if c&1=1; c3 otherwise}*u */ + secp256k1_fe_add(&u, &v); /* u = {c4 if c&1=1; c3 otherwise}*u + v */ + secp256k1_fe_mul(t, &m, &u); + return 1; +} + +/** Use SHA256 as a PRNG, returning SHA256(hasher || cnt). + * + * hasher is a SHA256 object to which an incrementing 4-byte counter is written to generate randomness. + * Writing 13 bytes (4 bytes for counter, plus 9 bytes for the SHA256 padding) cannot cross a + * 64-byte block size boundary (to make sure it only triggers a single SHA256 compression). */ +static void secp256k1_ellswift_prng(unsigned char* out32, const secp256k1_sha256 *hasher, uint32_t cnt) { + secp256k1_sha256 hash = *hasher; + unsigned char buf4[4]; +#ifdef VERIFY + size_t blocks = hash.bytes >> 6; +#endif + buf4[0] = cnt; + buf4[1] = cnt >> 8; + buf4[2] = cnt >> 16; + buf4[3] = cnt >> 24; + secp256k1_sha256_write(&hash, buf4, 4); + secp256k1_sha256_finalize(&hash, out32); + + /* Writing and finalizing together should trigger exactly one SHA256 compression. */ + VERIFY_CHECK(((hash.bytes) >> 6) == (blocks + 1)); +} + +/** Find an ElligatorSwift encoding (u, t) for X coordinate x, and random Y coordinate. + * + * u32 is the 32-byte big endian encoding of u; t is the output field element t that still + * needs encoding. + * + * hasher is a hasher in the secp256k1_ellswift_prng sense, with the same restrictions. */ +static void secp256k1_ellswift_xelligatorswift_var(unsigned char *u32, secp256k1_fe *t, const secp256k1_fe *x, const secp256k1_sha256 *hasher) { + /* Pool of 3-bit branch values. */ + unsigned char branch_hash[32]; + /* Number of 3-bit values in branch_hash left. */ + int branches_left = 0; + /* Field elements u and branch values are extracted from RNG based on hasher for consecutive + * values of cnt. cnt==0 is first used to populate a pool of 64 4-bit branch values. The 64 + * cnt values that follow are used to generate field elements u. cnt==65 (and multiples + * thereof) are used to repopulate the pool and start over, if that were ever necessary. + * On average, 4 iterations are needed. */ + uint32_t cnt = 0; + while (1) { + int branch; + secp256k1_fe u; + /* If the pool of branch values is empty, populate it. */ + if (branches_left == 0) { + secp256k1_ellswift_prng(branch_hash, hasher, cnt++); + branches_left = 64; + } + /* Take a 3-bit branch value from the branch pool (top bit is discarded). */ + --branches_left; + branch = (branch_hash[branches_left >> 1] >> ((branches_left & 1) << 2)) & 7; + /* Compute a new u value by hashing. */ + secp256k1_ellswift_prng(u32, hasher, cnt++); + /* overflow is not a problem (we prefer uniform u32 over uniform u). */ + secp256k1_fe_set_b32_mod(&u, u32); + /* Since u is the output of a hash, it should practically never be 0. We could apply the + * u=0 to u=1 correction here too to deal with that case still, but it's such a low + * probability event that we do not bother. */ + VERIFY_CHECK(!secp256k1_fe_normalizes_to_zero_var(&u)); + + /* Find a remainder t, and return it if found. */ + if (EXPECT(secp256k1_ellswift_xswiftec_inv_var(t, x, &u, branch), 0)) break; + } +} + +/** Find an ElligatorSwift encoding (u, t) for point P. + * + * This is similar secp256k1_ellswift_xelligatorswift_var, except it takes a full group element p + * as input, and returns an encoding that matches the provided Y coordinate rather than a random + * one. + */ +static void secp256k1_ellswift_elligatorswift_var(unsigned char *u32, secp256k1_fe *t, const secp256k1_ge *p, const secp256k1_sha256 *hasher) { + secp256k1_ellswift_xelligatorswift_var(u32, t, &p->x, hasher); + secp256k1_fe_normalize_var(t); + if (secp256k1_fe_is_odd(t) != secp256k1_fe_is_odd(&p->y)) { + secp256k1_fe_negate(t, t, 1); + secp256k1_fe_normalize_var(t); + } +} + +/** Set hash state to the BIP340 tagged hash midstate for "secp256k1_ellswift_encode". */ +static void secp256k1_ellswift_sha256_init_encode(secp256k1_sha256* hash) { + secp256k1_sha256_initialize(hash); + hash->s[0] = 0xd1a6524bul; + hash->s[1] = 0x028594b3ul; + hash->s[2] = 0x96e42f4eul; + hash->s[3] = 0x1037a177ul; + hash->s[4] = 0x1b8fcb8bul; + hash->s[5] = 0x56023885ul; + hash->s[6] = 0x2560ede1ul; + hash->s[7] = 0xd626b715ul; + + hash->bytes = 64; +} + +int secp256k1_ellswift_encode(const secp256k1_context *ctx, unsigned char *ell64, const secp256k1_pubkey *pubkey, const unsigned char *rnd32) { + secp256k1_ge p; + VERIFY_CHECK(ctx != NULL); + ARG_CHECK(ell64 != NULL); + ARG_CHECK(pubkey != NULL); + ARG_CHECK(rnd32 != NULL); + + if (secp256k1_pubkey_load(ctx, &p, pubkey)) { + secp256k1_fe t; + unsigned char p64[64] = {0}; + secp256k1_sha256 hash; + + /* Set up hasher state; the used RNG is H(pubkey || "\x00"*31 || rnd32 || cnt++), using + * BIP340 tagged hash with tag "secp256k1_ellswift_encode". */ + secp256k1_ellswift_sha256_init_encode(&hash); + secp256k1_eckey_pubkey_serialize33(&p, p64); + secp256k1_sha256_write(&hash, p64, sizeof(p64)); + secp256k1_sha256_write(&hash, rnd32, 32); + + /* Compute ElligatorSwift encoding and construct output. */ + secp256k1_ellswift_elligatorswift_var(ell64, &t, &p, &hash); /* puts u in ell64[0..32] */ + secp256k1_fe_get_b32(ell64 + 32, &t); /* puts t in ell64[32..64] */ + return 1; + } + /* Only reached in case the provided pubkey is invalid. */ + memset(ell64, 0, 64); + return 0; +} + +/** Set hash state to the BIP340 tagged hash midstate for "secp256k1_ellswift_create". */ +static void secp256k1_ellswift_sha256_init_create(secp256k1_sha256* hash) { + secp256k1_sha256_initialize(hash); + hash->s[0] = 0xd29e1bf5ul; + hash->s[1] = 0xf7025f42ul; + hash->s[2] = 0x9b024773ul; + hash->s[3] = 0x094cb7d5ul; + hash->s[4] = 0xe59ed789ul; + hash->s[5] = 0x03bc9786ul; + hash->s[6] = 0x68335b35ul; + hash->s[7] = 0x4e363b53ul; + + hash->bytes = 64; +} + +int secp256k1_ellswift_create(const secp256k1_context *ctx, unsigned char *ell64, const unsigned char *seckey32, const unsigned char *auxrnd32) { + secp256k1_ge p; + secp256k1_fe t; + secp256k1_sha256 hash; + secp256k1_scalar seckey_scalar; + int ret; + static const unsigned char zero32[32] = {0}; + + /* Sanity check inputs. */ + VERIFY_CHECK(ctx != NULL); + ARG_CHECK(ell64 != NULL); + memset(ell64, 0, 64); + ARG_CHECK(secp256k1_ecmult_gen_context_is_built(&ctx->ecmult_gen_ctx)); + ARG_CHECK(seckey32 != NULL); + + /* Compute (affine) public key */ + ret = secp256k1_ec_pubkey_create_helper(&ctx->ecmult_gen_ctx, &seckey_scalar, &p, seckey32); + secp256k1_declassify(ctx, &p, sizeof(p)); /* not constant time in produced pubkey */ + secp256k1_fe_normalize_var(&p.x); + secp256k1_fe_normalize_var(&p.y); + + /* Set up hasher state. The used RNG is H(privkey || "\x00"*32 [|| auxrnd32] || cnt++), + * using BIP340 tagged hash with tag "secp256k1_ellswift_create". */ + secp256k1_ellswift_sha256_init_create(&hash); + secp256k1_sha256_write(&hash, seckey32, 32); + secp256k1_sha256_write(&hash, zero32, sizeof(zero32)); + secp256k1_declassify(ctx, &hash, sizeof(hash)); /* private key is hashed now */ + if (auxrnd32) secp256k1_sha256_write(&hash, auxrnd32, 32); + + /* Compute ElligatorSwift encoding and construct output. */ + secp256k1_ellswift_elligatorswift_var(ell64, &t, &p, &hash); /* puts u in ell64[0..32] */ + secp256k1_fe_get_b32(ell64 + 32, &t); /* puts t in ell64[32..64] */ + + secp256k1_memczero(ell64, 64, !ret); + secp256k1_scalar_clear(&seckey_scalar); + + return ret; +} + +int secp256k1_ellswift_decode(const secp256k1_context *ctx, secp256k1_pubkey *pubkey, const unsigned char *ell64) { + secp256k1_fe u, t; + secp256k1_ge p; + VERIFY_CHECK(ctx != NULL); + ARG_CHECK(pubkey != NULL); + ARG_CHECK(ell64 != NULL); + + secp256k1_fe_set_b32_mod(&u, ell64); + secp256k1_fe_set_b32_mod(&t, ell64 + 32); + secp256k1_fe_normalize_var(&t); + secp256k1_ellswift_swiftec_var(&p, &u, &t); + secp256k1_pubkey_save(pubkey, &p); + return 1; +} + +static int ellswift_xdh_hash_function_prefix(unsigned char *output, const unsigned char *x32, const unsigned char *ell_a64, const unsigned char *ell_b64, void *data) { + secp256k1_sha256 sha; + + secp256k1_sha256_initialize(&sha); + secp256k1_sha256_write(&sha, data, 64); + secp256k1_sha256_write(&sha, ell_a64, 64); + secp256k1_sha256_write(&sha, ell_b64, 64); + secp256k1_sha256_write(&sha, x32, 32); + secp256k1_sha256_finalize(&sha, output); + secp256k1_sha256_clear(&sha); + + return 1; +} + +/** Set hash state to the BIP340 tagged hash midstate for "bip324_ellswift_xonly_ecdh". */ +static void secp256k1_ellswift_sha256_init_bip324(secp256k1_sha256* hash) { + secp256k1_sha256_initialize(hash); + hash->s[0] = 0x8c12d730ul; + hash->s[1] = 0x827bd392ul; + hash->s[2] = 0x9e4fb2eeul; + hash->s[3] = 0x207b373eul; + hash->s[4] = 0x2292bd7aul; + hash->s[5] = 0xaa5441bcul; + hash->s[6] = 0x15c3779ful; + hash->s[7] = 0xcfb52549ul; + + hash->bytes = 64; +} + +static int ellswift_xdh_hash_function_bip324(unsigned char* output, const unsigned char *x32, const unsigned char *ell_a64, const unsigned char *ell_b64, void *data) { + secp256k1_sha256 sha; + + (void)data; + + secp256k1_ellswift_sha256_init_bip324(&sha); + secp256k1_sha256_write(&sha, ell_a64, 64); + secp256k1_sha256_write(&sha, ell_b64, 64); + secp256k1_sha256_write(&sha, x32, 32); + secp256k1_sha256_finalize(&sha, output); + secp256k1_sha256_clear(&sha); + + return 1; +} + +const secp256k1_ellswift_xdh_hash_function secp256k1_ellswift_xdh_hash_function_prefix = ellswift_xdh_hash_function_prefix; +const secp256k1_ellswift_xdh_hash_function secp256k1_ellswift_xdh_hash_function_bip324 = ellswift_xdh_hash_function_bip324; + +int secp256k1_ellswift_xdh(const secp256k1_context *ctx, unsigned char *output, const unsigned char *ell_a64, const unsigned char *ell_b64, const unsigned char *seckey32, int party, secp256k1_ellswift_xdh_hash_function hashfp, void *data) { + int ret = 0; + int overflow; + secp256k1_scalar s; + secp256k1_fe xn, xd, px, u, t; + unsigned char sx[32]; + const unsigned char* theirs64; + + VERIFY_CHECK(ctx != NULL); + ARG_CHECK(output != NULL); + ARG_CHECK(ell_a64 != NULL); + ARG_CHECK(ell_b64 != NULL); + ARG_CHECK(seckey32 != NULL); + ARG_CHECK(hashfp != NULL); + + /* Load remote public key (as fraction). */ + theirs64 = party ? ell_a64 : ell_b64; + secp256k1_fe_set_b32_mod(&u, theirs64); + secp256k1_fe_set_b32_mod(&t, theirs64 + 32); + secp256k1_ellswift_xswiftec_frac_var(&xn, &xd, &u, &t); + + /* Load private key (using one if invalid). */ + secp256k1_scalar_set_b32(&s, seckey32, &overflow); + overflow = secp256k1_scalar_is_zero(&s); + secp256k1_scalar_cmov(&s, &secp256k1_scalar_one, overflow); + + /* Compute shared X coordinate. */ + secp256k1_ecmult_const_xonly(&px, &xn, &xd, &s, 1); + secp256k1_fe_normalize(&px); + secp256k1_fe_get_b32(sx, &px); + + /* Invoke hasher */ + ret = hashfp(output, sx, ell_a64, ell_b64, data); + + secp256k1_memclear_explicit(sx, sizeof(sx)); + secp256k1_fe_clear(&px); + secp256k1_scalar_clear(&s); + + return !!ret & !overflow; +} + +#endif diff --git a/src/modules/ellswift/tests_exhaustive_impl.h b/src/modules/ellswift/tests_exhaustive_impl.h new file mode 100644 index 0000000000..839c24aee4 --- /dev/null +++ b/src/modules/ellswift/tests_exhaustive_impl.h @@ -0,0 +1,39 @@ +/*********************************************************************** + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ + +#ifndef SECP256K1_MODULE_ELLSWIFT_TESTS_EXHAUSTIVE_H +#define SECP256K1_MODULE_ELLSWIFT_TESTS_EXHAUSTIVE_H + +#include "../../../include/secp256k1_ellswift.h" +#include "main_impl.h" + +static void test_exhaustive_ellswift(const secp256k1_context *ctx, const secp256k1_ge *group) { + int i; + + /* Note that SwiftEC/ElligatorSwift are inherently curve operations, not + * group operations, and this test only checks the curve points which are in + * a tiny subgroup. In that sense it can't be really seen as exhaustive as + * it doesn't (and for computational reasons obviously cannot) test the + * entire domain ellswift operates under. */ + for (i = 1; i < EXHAUSTIVE_TEST_ORDER; i++) { + secp256k1_scalar scalar_i; + unsigned char sec32[32]; + unsigned char ell64[64]; + secp256k1_pubkey pub_decoded; + secp256k1_ge ge_decoded; + + /* Construct ellswift pubkey from exhaustive loop scalar i. */ + secp256k1_scalar_set_int(&scalar_i, i); + secp256k1_scalar_get_b32(sec32, &scalar_i); + CHECK(secp256k1_ellswift_create(ctx, ell64, sec32, NULL)); + + /* Decode ellswift pubkey and check that it matches the precomputed group element. */ + secp256k1_ellswift_decode(ctx, &pub_decoded, ell64); + secp256k1_pubkey_load(ctx, &ge_decoded, &pub_decoded); + CHECK(secp256k1_ge_eq_var(&ge_decoded, &group[i])); + } +} + +#endif diff --git a/src/modules/ellswift/tests_impl.h b/src/modules/ellswift/tests_impl.h new file mode 100644 index 0000000000..63c36e7ff1 --- /dev/null +++ b/src/modules/ellswift/tests_impl.h @@ -0,0 +1,443 @@ +/*********************************************************************** + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ + +#ifndef SECP256K1_MODULE_ELLSWIFT_TESTS_H +#define SECP256K1_MODULE_ELLSWIFT_TESTS_H + +#include "../../../include/secp256k1_ellswift.h" +#include "../../unit_test.h" + +struct ellswift_xswiftec_inv_test { + int enc_bitmap; + secp256k1_fe u; + secp256k1_fe x; + secp256k1_fe encs[8]; +}; + +struct ellswift_decode_test { + unsigned char enc[64]; + secp256k1_fe x; + int odd_y; +}; + +struct ellswift_xdh_test { + unsigned char priv_ours[32]; + unsigned char ellswift_ours[64]; + unsigned char ellswift_theirs[64]; + int initiating; + unsigned char shared_secret[32]; +}; + +/* Set of (point, encodings) test vectors, selected to maximize branch coverage, part of the BIP324 + * test vectors. Created using an independent implementation, and tested decoding against paper + * authors' code. */ +static const struct ellswift_xswiftec_inv_test ellswift_xswiftec_inv_tests[] = { + {0xcc, SECP256K1_FE_CONST(0x05ff6bda, 0xd900fc32, 0x61bc7fe3, 0x4e2fb0f5, 0x69f06e09, 0x1ae437d3, 0xa52e9da0, 0xcbfb9590), SECP256K1_FE_CONST(0x80cdf637, 0x74ec7022, 0xc89a5a85, 0x58e373a2, 0x79170285, 0xe0ab2741, 0x2dbce510, 0xbdfe23fc), {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0x45654798, 0xece071ba, 0x79286d04, 0xf7f3eb1c, 0x3f1d17dd, 0x883610f2, 0xad2efd82, 0xa287466b), SECP256K1_FE_CONST(0x0aeaa886, 0xf6b76c71, 0x58452418, 0xcbf5033a, 0xdc5747e9, 0xe9b5d3b2, 0x303db969, 0x36528557), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0xba9ab867, 0x131f8e45, 0x86d792fb, 0x080c14e3, 0xc0e2e822, 0x77c9ef0d, 0x52d1027c, 0x5d78b5c4), SECP256K1_FE_CONST(0xf5155779, 0x0948938e, 0xa7badbe7, 0x340afcc5, 0x23a8b816, 0x164a2c4d, 0xcfc24695, 0xc9ad76d8)}}, + {0x33, SECP256K1_FE_CONST(0x1737a85f, 0x4c8d146c, 0xec96e3ff, 0xdca76d99, 0x03dcf3bd, 0x53061868, 0xd478c78c, 0x63c2aa9e), SECP256K1_FE_CONST(0x39e48dd1, 0x50d2f429, 0xbe088dfd, 0x5b61882e, 0x7e840748, 0x3702ae9a, 0x5ab35927, 0xb15f85ea), {SECP256K1_FE_CONST(0x1be8cc0b, 0x04be0c68, 0x1d0c6a68, 0xf733f82c, 0x6c896e0c, 0x8a262fcd, 0x392918e3, 0x03a7abf4), SECP256K1_FE_CONST(0x605b5814, 0xbf9b8cb0, 0x66667c9e, 0x5480d22d, 0xc5b6c92f, 0x14b4af3e, 0xe0a9eb83, 0xb03685e3), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0xe41733f4, 0xfb41f397, 0xe2f39597, 0x08cc07d3, 0x937691f3, 0x75d9d032, 0xc6d6e71b, 0xfc58503b), SECP256K1_FE_CONST(0x9fa4a7eb, 0x4064734f, 0x99998361, 0xab7f2dd2, 0x3a4936d0, 0xeb4b50c1, 0x1f56147b, 0x4fc9764c), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0)}}, + {0x00, SECP256K1_FE_CONST(0x1aaa1cce, 0xbf9c7241, 0x91033df3, 0x66b36f69, 0x1c4d902c, 0x228033ff, 0x4516d122, 0xb2564f68), SECP256K1_FE_CONST(0xc7554125, 0x9d3ba98f, 0x207eaa30, 0xc69634d1, 0x87d0b6da, 0x594e719e, 0x420f4898, 0x638fc5b0), {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0)}}, + {0x33, SECP256K1_FE_CONST(0x2323a1d0, 0x79b0fd72, 0xfc8bb62e, 0xc34230a8, 0x15cb0596, 0xc2bfac99, 0x8bd6b842, 0x60f5dc26), SECP256K1_FE_CONST(0x239342df, 0xb675500a, 0x34a19631, 0x0b8d87d5, 0x4f49dcac, 0x9da50c17, 0x43ceab41, 0xa7b249ff), {SECP256K1_FE_CONST(0xf63580b8, 0xaa49c484, 0x6de56e39, 0xe1b3e73f, 0x171e881e, 0xba8c66f6, 0x14e67e5c, 0x975dfc07), SECP256K1_FE_CONST(0xb6307b33, 0x2e699f1c, 0xf77841d9, 0x0af25365, 0x404deb7f, 0xed5edb30, 0x90db49e6, 0x42a156b6), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0x09ca7f47, 0x55b63b7b, 0x921a91c6, 0x1e4c18c0, 0xe8e177e1, 0x45739909, 0xeb1981a2, 0x68a20028), SECP256K1_FE_CONST(0x49cf84cc, 0xd19660e3, 0x0887be26, 0xf50dac9a, 0xbfb21480, 0x12a124cf, 0x6f24b618, 0xbd5ea579), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0)}}, + {0x33, SECP256K1_FE_CONST(0x2dc90e64, 0x0cb646ae, 0x9164c0b5, 0xa9ef0169, 0xfebe34dc, 0x4437d6e4, 0x6acb0e27, 0xe219d1e8), SECP256K1_FE_CONST(0xd236f19b, 0xf349b951, 0x6e9b3f4a, 0x5610fe96, 0x0141cb23, 0xbbc8291b, 0x9534f1d7, 0x1de62a47), {SECP256K1_FE_CONST(0xe69df7d9, 0xc026c366, 0x00ebdf58, 0x80726758, 0x47c0c431, 0xc8eb7306, 0x82533e96, 0x4b6252c9), SECP256K1_FE_CONST(0x4f18bbdf, 0x7c2d6c5f, 0x818c1880, 0x2fa35cd0, 0x69eaa79f, 0xff74e4fc, 0x837c80d9, 0x3fece2f8), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0x19620826, 0x3fd93c99, 0xff1420a7, 0x7f8d98a7, 0xb83f3bce, 0x37148cf9, 0x7dacc168, 0xb49da966), SECP256K1_FE_CONST(0xb0e74420, 0x83d293a0, 0x7e73e77f, 0xd05ca32f, 0x96155860, 0x008b1b03, 0x7c837f25, 0xc0131937), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0)}}, + {0xcc, SECP256K1_FE_CONST(0x3edd7b39, 0x80e2f2f3, 0x4d1409a2, 0x07069f88, 0x1fda5f96, 0xf08027ac, 0x4465b63d, 0xc278d672), SECP256K1_FE_CONST(0x053a98de, 0x4a27b196, 0x1155822b, 0x3a3121f0, 0x3b2a1445, 0x8bd80eb4, 0xa560c4c7, 0xa85c149c), {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0xb3dae4b7, 0xdcf858e4, 0xc6968057, 0xcef2b156, 0x46543152, 0x6538199c, 0xf52dc1b2, 0xd62fda30), SECP256K1_FE_CONST(0x4aa77dd5, 0x5d6b6d3c, 0xfa10cc9d, 0x0fe42f79, 0x232e4575, 0x661049ae, 0x36779c1d, 0x0c666d88), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0x4c251b48, 0x2307a71b, 0x39697fa8, 0x310d4ea9, 0xb9abcead, 0x9ac7e663, 0x0ad23e4c, 0x29d021ff), SECP256K1_FE_CONST(0xb558822a, 0xa29492c3, 0x05ef3362, 0xf01bd086, 0xdcd1ba8a, 0x99efb651, 0xc98863e1, 0xf3998ea7)}}, + {0x00, SECP256K1_FE_CONST(0x4295737e, 0xfcb1da6f, 0xb1d96b9c, 0xa7dcd1e3, 0x20024b37, 0xa736c494, 0x8b625981, 0x73069f70), SECP256K1_FE_CONST(0xfa7ffe4f, 0x25f88362, 0x831c087a, 0xfe2e8a9b, 0x0713e2ca, 0xc1ddca6a, 0x383205a2, 0x66f14307), {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0)}}, + {0xff, SECP256K1_FE_CONST(0x587c1a0c, 0xee91939e, 0x7f784d23, 0xb963004a, 0x3bf44f5d, 0x4e32a008, 0x1995ba20, 0xb0fca59e), SECP256K1_FE_CONST(0x2ea98853, 0x0715e8d1, 0x0363907f, 0xf2512452, 0x4d471ba2, 0x454d5ce3, 0xbe3f0419, 0x4dfd3a3c), {SECP256K1_FE_CONST(0xcfd5a094, 0xaa0b9b88, 0x91b76c6a, 0xb9438f66, 0xaa1c095a, 0x65f9f701, 0x35e81712, 0x92245e74), SECP256K1_FE_CONST(0xa89057d7, 0xc6563f0d, 0x6efa19ae, 0x84412b8a, 0x7b47e791, 0xa191ecdf, 0xdf2af84f, 0xd97bc339), SECP256K1_FE_CONST(0x475d0ae9, 0xef46920d, 0xf07b3411, 0x7be5a081, 0x7de1023e, 0x3cc32689, 0xe9be145b, 0x406b0aef), SECP256K1_FE_CONST(0xa0759178, 0xad802324, 0x54f827ef, 0x05ea3e72, 0xad8d7541, 0x8e6d4cc1, 0xcd4f5306, 0xc5e7c453), SECP256K1_FE_CONST(0x302a5f6b, 0x55f46477, 0x6e489395, 0x46bc7099, 0x55e3f6a5, 0x9a0608fe, 0xca17e8ec, 0x6ddb9dbb), SECP256K1_FE_CONST(0x576fa828, 0x39a9c0f2, 0x9105e651, 0x7bbed475, 0x84b8186e, 0x5e6e1320, 0x20d507af, 0x268438f6), SECP256K1_FE_CONST(0xb8a2f516, 0x10b96df2, 0x0f84cbee, 0x841a5f7e, 0x821efdc1, 0xc33cd976, 0x1641eba3, 0xbf94f140), SECP256K1_FE_CONST(0x5f8a6e87, 0x527fdcdb, 0xab07d810, 0xfa15c18d, 0x52728abe, 0x7192b33e, 0x32b0acf8, 0x3a1837dc)}}, + {0xcc, SECP256K1_FE_CONST(0x5fa88b33, 0x65a635cb, 0xbcee003c, 0xce9ef51d, 0xd1a310de, 0x277e441a, 0xbccdb7be, 0x1e4ba249), SECP256K1_FE_CONST(0x79461ff6, 0x2bfcbcac, 0x4249ba84, 0xdd040f2c, 0xec3c63f7, 0x25204dc7, 0xf464c16b, 0xf0ff3170), {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0x6bb700e1, 0xf4d7e236, 0xe8d193ff, 0x4a76c1b3, 0xbcd4e2b2, 0x5acac3d5, 0x1c8dac65, 0x3fe909a0), SECP256K1_FE_CONST(0xf4c73410, 0x633da7f6, 0x3a4f1d55, 0xaec6dd32, 0xc4c6d89e, 0xe74075ed, 0xb5515ed9, 0x0da9e683), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0x9448ff1e, 0x0b281dc9, 0x172e6c00, 0xb5893e4c, 0x432b1d4d, 0xa5353c2a, 0xe3725399, 0xc016f28f), SECP256K1_FE_CONST(0x0b38cbef, 0x9cc25809, 0xc5b0e2aa, 0x513922cd, 0x3b392761, 0x18bf8a12, 0x4aaea125, 0xf25615ac)}}, + {0xcc, SECP256K1_FE_CONST(0x6fb31c75, 0x31f03130, 0xb42b155b, 0x952779ef, 0xbb46087d, 0xd9807d24, 0x1a48eac6, 0x3c3d96d6), SECP256K1_FE_CONST(0x56f81be7, 0x53e8d4ae, 0x4940ea6f, 0x46f6ec9f, 0xda66a6f9, 0x6cc95f50, 0x6cb2b574, 0x90e94260), {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0x59059774, 0x795bdb7a, 0x837fbe11, 0x40a5fa59, 0x984f48af, 0x8df95d57, 0xdd6d1c05, 0x437dcec1), SECP256K1_FE_CONST(0x22a644db, 0x79376ad4, 0xe7b3a009, 0xe58b3f13, 0x137c54fd, 0xf911122c, 0xc93667c4, 0x7077d784), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0xa6fa688b, 0x86a42485, 0x7c8041ee, 0xbf5a05a6, 0x67b0b750, 0x7206a2a8, 0x2292e3f9, 0xbc822d6e), SECP256K1_FE_CONST(0xdd59bb24, 0x86c8952b, 0x184c5ff6, 0x1a74c0ec, 0xec83ab02, 0x06eeedd3, 0x36c9983a, 0x8f8824ab)}}, + {0x00, SECP256K1_FE_CONST(0x704cd226, 0xe71cb682, 0x6a590e80, 0xdac90f2d, 0x2f5830f0, 0xfdf135a3, 0xeae3965b, 0xff25ff12), SECP256K1_FE_CONST(0x138e0afa, 0x68936ee6, 0x70bd2b8d, 0xb53aedbb, 0x7bea2a85, 0x97388b24, 0xd0518edd, 0x22ad66ec), {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0)}}, + {0x33, SECP256K1_FE_CONST(0x725e9147, 0x92cb8c89, 0x49e7e116, 0x8b7cdd8a, 0x8094c91c, 0x6ec2202c, 0xcd53a6a1, 0x8771edeb), SECP256K1_FE_CONST(0x8da16eb8, 0x6d347376, 0xb6181ee9, 0x74832275, 0x7f6b36e3, 0x913ddfd3, 0x32ac595d, 0x788e0e44), {SECP256K1_FE_CONST(0xdd357786, 0xb9f68733, 0x30391aa5, 0x62580965, 0x4e43116e, 0x82a5a5d8, 0x2ffd1d66, 0x24101fc4), SECP256K1_FE_CONST(0xa0b7efca, 0x01814594, 0xc59c9aae, 0x8e497001, 0x86ca5d95, 0xe88bcc80, 0x399044d9, 0xc2d8613d), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0x22ca8879, 0x460978cc, 0xcfc6e55a, 0x9da7f69a, 0xb1bcee91, 0x7d5a5a27, 0xd002e298, 0xdbefdc6b), SECP256K1_FE_CONST(0x5f481035, 0xfe7eba6b, 0x3a636551, 0x71b68ffe, 0x7935a26a, 0x1774337f, 0xc66fbb25, 0x3d279af2), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0)}}, + {0x00, SECP256K1_FE_CONST(0x78fe6b71, 0x7f2ea4a3, 0x2708d79c, 0x151bf503, 0xa5312a18, 0xc0963437, 0xe865cc6e, 0xd3f6ae97), SECP256K1_FE_CONST(0x8701948e, 0x80d15b5c, 0xd8f72863, 0xeae40afc, 0x5aced5e7, 0x3f69cbc8, 0x179a3390, 0x2c094d98), {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0)}}, + {0x44, SECP256K1_FE_CONST(0x7c37bb9c, 0x5061dc07, 0x413f11ac, 0xd5a34006, 0xe64c5c45, 0x7fdb9a43, 0x8f217255, 0xa961f50d), SECP256K1_FE_CONST(0x5c1a76b4, 0x4568eb59, 0xd6789a74, 0x42d9ed7c, 0xdc6226b7, 0x752b4ff8, 0xeaf8e1a9, 0x5736e507), {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0xb94d30cd, 0x7dbff60b, 0x64620c17, 0xca0fafaa, 0x40b3d1f5, 0x2d077a60, 0xa2e0cafd, 0x145086c2), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0x46b2cf32, 0x824009f4, 0x9b9df3e8, 0x35f05055, 0xbf4c2e0a, 0xd2f8859f, 0x5d1f3501, 0xebaf756d), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0)}}, + {0x00, SECP256K1_FE_CONST(0x82388888, 0x967f82a6, 0xb444438a, 0x7d44838e, 0x13c0d478, 0xb9ca060d, 0xa95a41fb, 0x94303de6), SECP256K1_FE_CONST(0x29e96541, 0x70628fec, 0x8b497289, 0x8b113cf9, 0x8807f460, 0x9274f4f3, 0x140d0674, 0x157c90a0), {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0)}}, + {0x33, SECP256K1_FE_CONST(0x91298f57, 0x70af7a27, 0xf0a47188, 0xd24c3b7b, 0xf98ab299, 0x0d84b0b8, 0x98507e3c, 0x561d6472), SECP256K1_FE_CONST(0x144f4ccb, 0xd9a74698, 0xa88cbf6f, 0xd00ad886, 0xd339d29e, 0xa19448f2, 0xc572cac0, 0xa07d5562), {SECP256K1_FE_CONST(0xe6a0ffa3, 0x807f09da, 0xdbe71e0f, 0x4be4725f, 0x2832e76c, 0xad8dc1d9, 0x43ce8393, 0x75eff248), SECP256K1_FE_CONST(0x837b8e68, 0xd4917544, 0x764ad090, 0x3cb11f86, 0x15d2823c, 0xefbb06d8, 0x9049dbab, 0xc69befda), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0x195f005c, 0x7f80f625, 0x2418e1f0, 0xb41b8da0, 0xd7cd1893, 0x52723e26, 0xbc317c6b, 0x8a1009e7), SECP256K1_FE_CONST(0x7c847197, 0x2b6e8abb, 0x89b52f6f, 0xc34ee079, 0xea2d7dc3, 0x1044f927, 0x6fb62453, 0x39640c55), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0)}}, + {0x00, SECP256K1_FE_CONST(0xb682f3d0, 0x3bbb5dee, 0x4f54b5eb, 0xfba931b4, 0xf52f6a19, 0x1e5c2f48, 0x3c73c66e, 0x9ace97e1), SECP256K1_FE_CONST(0x904717bf, 0x0bc0cb78, 0x73fcdc38, 0xaa97f19e, 0x3a626309, 0x72acff92, 0xb24cc6dd, 0xa197cb96), {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0)}}, + {0x77, SECP256K1_FE_CONST(0xc17ec69e, 0x665f0fb0, 0xdbab48d9, 0xc2f94d12, 0xec8a9d7e, 0xacb58084, 0x83309180, 0x1eb0b80b), SECP256K1_FE_CONST(0x147756e6, 0x6d96e31c, 0x426d3cc8, 0x5ed0c4cf, 0xbef6341d, 0xd8b28558, 0x5aa574ea, 0x0204b55e), {SECP256K1_FE_CONST(0x6f4aea43, 0x1a0043bd, 0xd03134d6, 0xd9159119, 0xce034b88, 0xc32e50e8, 0xe36c4ee4, 0x5eac7ae9), SECP256K1_FE_CONST(0xfd5be16d, 0x4ffa2690, 0x126c67c3, 0xef7cb9d2, 0x9b74d397, 0xc78b06b3, 0x605fda34, 0xdc9696a6), SECP256K1_FE_CONST(0x5e9c6079, 0x2a2f000e, 0x45c6250f, 0x296f875e, 0x174efc0e, 0x9703e628, 0x706103a9, 0xdd2d82c7), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0x90b515bc, 0xe5ffbc42, 0x2fcecb29, 0x26ea6ee6, 0x31fcb477, 0x3cd1af17, 0x1c93b11a, 0xa1538146), SECP256K1_FE_CONST(0x02a41e92, 0xb005d96f, 0xed93983c, 0x1083462d, 0x648b2c68, 0x3874f94c, 0x9fa025ca, 0x23696589), SECP256K1_FE_CONST(0xa1639f86, 0xd5d0fff1, 0xba39daf0, 0xd69078a1, 0xe8b103f1, 0x68fc19d7, 0x8f9efc55, 0x22d27968), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0)}}, + {0xcc, SECP256K1_FE_CONST(0xc25172fc, 0x3f29b6fc, 0x4a1155b8, 0x57523315, 0x5486b274, 0x64b74b8b, 0x260b499a, 0x3f53cb14), SECP256K1_FE_CONST(0x1ea9cbdb, 0x35cf6e03, 0x29aa31b0, 0xbb0a702a, 0x65123ed0, 0x08655a93, 0xb7dcd528, 0x0e52e1ab), {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0x7422edc7, 0x843136af, 0x0053bb88, 0x54448a82, 0x99994f9d, 0xdcefd3a9, 0xa92d4546, 0x2c59298a), SECP256K1_FE_CONST(0x78c7774a, 0x266f8b97, 0xea23d05d, 0x064f033c, 0x77319f92, 0x3f6b78bc, 0xe4e20bf0, 0x5fa5398d), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0x8bdd1238, 0x7bcec950, 0xffac4477, 0xabbb757d, 0x6666b062, 0x23102c56, 0x56d2bab8, 0xd3a6d2a5), SECP256K1_FE_CONST(0x873888b5, 0xd9907468, 0x15dc2fa2, 0xf9b0fcc3, 0x88ce606d, 0xc0948743, 0x1b1df40e, 0xa05ac2a2)}}, + {0x00, SECP256K1_FE_CONST(0xcab6626f, 0x832a4b12, 0x80ba7add, 0x2fc5322f, 0xf011caed, 0xedf7ff4d, 0xb6735d50, 0x26dc0367), SECP256K1_FE_CONST(0x2b2bef08, 0x52c6f7c9, 0x5d72ac99, 0xa23802b8, 0x75029cd5, 0x73b248d1, 0xf1b3fc80, 0x33788eb6), {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0)}}, + {0x33, SECP256K1_FE_CONST(0xd8621b4f, 0xfc85b9ed, 0x56e99d8d, 0xd1dd24ae, 0xdcecb147, 0x63b861a1, 0x7112dc77, 0x1a104fd2), SECP256K1_FE_CONST(0x812cabe9, 0x72a22aa6, 0x7c7da0c9, 0x4d8a9362, 0x96eb9949, 0xd70c37cb, 0x2b248757, 0x4cb3ce58), {SECP256K1_FE_CONST(0xfbc5febc, 0x6fdbc9ae, 0x3eb88a93, 0xb982196e, 0x8b6275a6, 0xd5a73c17, 0x387e000c, 0x711bd0e3), SECP256K1_FE_CONST(0x8724c96b, 0xd4e5527f, 0x2dd195a5, 0x1c468d2d, 0x211ba2fa, 0xc7cbe0b4, 0xb3434253, 0x409fb42d), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0x043a0143, 0x90243651, 0xc147756c, 0x467de691, 0x749d8a59, 0x2a58c3e8, 0xc781fff2, 0x8ee42b4c), SECP256K1_FE_CONST(0x78db3694, 0x2b1aad80, 0xd22e6a5a, 0xe3b972d2, 0xdee45d05, 0x38341f4b, 0x4cbcbdab, 0xbf604802), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0)}}, + {0x00, SECP256K1_FE_CONST(0xda463164, 0xc6f4bf71, 0x29ee5f0e, 0xc00f65a6, 0x75a8adf1, 0xbd931b39, 0xb64806af, 0xdcda9a22), SECP256K1_FE_CONST(0x25b9ce9b, 0x390b408e, 0xd611a0f1, 0x3ff09a59, 0x8a57520e, 0x426ce4c6, 0x49b7f94f, 0x2325620d), {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0)}}, + {0xcc, SECP256K1_FE_CONST(0xdafc971e, 0x4a3a7b6d, 0xcfb42a08, 0xd9692d82, 0xad9e7838, 0x523fcbda, 0x1d4827e1, 0x4481ae2d), SECP256K1_FE_CONST(0x250368e1, 0xb5c58492, 0x304bd5f7, 0x2696d27d, 0x526187c7, 0xadc03425, 0xe2b7d81d, 0xbb7e4e02), {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0x370c28f1, 0xbe665efa, 0xcde6aa43, 0x6bf86fe2, 0x1e6e314c, 0x1e53dd04, 0x0e6c73a4, 0x6b4c8c49), SECP256K1_FE_CONST(0xcd8acee9, 0x8ffe5653, 0x1a84d7eb, 0x3e48fa40, 0x34206ce8, 0x25ace907, 0xd0edf0ea, 0xeb5e9ca2), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0xc8f3d70e, 0x4199a105, 0x321955bc, 0x9407901d, 0xe191ceb3, 0xe1ac22fb, 0xf1938c5a, 0x94b36fe6), SECP256K1_FE_CONST(0x32753116, 0x7001a9ac, 0xe57b2814, 0xc1b705bf, 0xcbdf9317, 0xda5316f8, 0x2f120f14, 0x14a15f8d)}}, + {0x44, SECP256K1_FE_CONST(0xe0294c8b, 0xc1a36b41, 0x66ee92bf, 0xa70a5c34, 0x976fa982, 0x9405efea, 0x8f9cd54d, 0xcb29b99e), SECP256K1_FE_CONST(0xae9690d1, 0x3b8d20a0, 0xfbbf37be, 0xd8474f67, 0xa04e142f, 0x56efd787, 0x70a76b35, 0x9165d8a1), {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0xdcd45d93, 0x5613916a, 0xf167b029, 0x058ba3a7, 0x00d37150, 0xb9df3472, 0x8cb05412, 0xc16d4182), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0x232ba26c, 0xa9ec6e95, 0x0e984fd6, 0xfa745c58, 0xff2c8eaf, 0x4620cb8d, 0x734fabec, 0x3e92baad), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0)}}, + {0x00, SECP256K1_FE_CONST(0xe148441c, 0xd7b92b8b, 0x0e4fa3bd, 0x68712cfd, 0x0d709ad1, 0x98cace61, 0x1493c10e, 0x97f5394e), SECP256K1_FE_CONST(0x164a6397, 0x94d74c53, 0xafc4d329, 0x4e79cdb3, 0xcd25f99f, 0x6df45c00, 0x0f758aba, 0x54d699c0), {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0)}}, + {0xff, SECP256K1_FE_CONST(0xe4b00ec9, 0x7aadcca9, 0x7644d3b0, 0xc8a931b1, 0x4ce7bcf7, 0xbc877954, 0x6d6e35aa, 0x5937381c), SECP256K1_FE_CONST(0x94e9588d, 0x41647b3f, 0xcc772dc8, 0xd83c67ce, 0x3be00353, 0x8517c834, 0x103d2cd4, 0x9d62ef4d), {SECP256K1_FE_CONST(0xc88d25f4, 0x1407376b, 0xb2c03a7f, 0xffeb3ec7, 0x811cc434, 0x91a0c3aa, 0xc0378cdc, 0x78357bee), SECP256K1_FE_CONST(0x51c02636, 0xce00c234, 0x5ecd89ad, 0xb6089fe4, 0xd5e18ac9, 0x24e3145e, 0x6669501c, 0xd37a00d4), SECP256K1_FE_CONST(0x205b3512, 0xdb40521c, 0xb200952e, 0x67b46f67, 0xe09e7839, 0xe0de4400, 0x4138329e, 0xbd9138c5), SECP256K1_FE_CONST(0x58aab390, 0xab6fb55c, 0x1d1b8089, 0x7a207ce9, 0x4a78fa5b, 0x4aa61a33, 0x398bcae9, 0xadb20d3e), SECP256K1_FE_CONST(0x3772da0b, 0xebf8c894, 0x4d3fc580, 0x0014c138, 0x7ee33bcb, 0x6e5f3c55, 0x3fc87322, 0x87ca8041), SECP256K1_FE_CONST(0xae3fd9c9, 0x31ff3dcb, 0xa1327652, 0x49f7601b, 0x2a1e7536, 0xdb1ceba1, 0x9996afe2, 0x2c85fb5b), SECP256K1_FE_CONST(0xdfa4caed, 0x24bfade3, 0x4dff6ad1, 0x984b9098, 0x1f6187c6, 0x1f21bbff, 0xbec7cd60, 0x426ec36a), SECP256K1_FE_CONST(0xa7554c6f, 0x54904aa3, 0xe2e47f76, 0x85df8316, 0xb58705a4, 0xb559e5cc, 0xc6743515, 0x524deef1)}}, + {0x00, SECP256K1_FE_CONST(0xe5bbb9ef, 0x360d0a50, 0x1618f006, 0x7d36dceb, 0x75f5be9a, 0x620232aa, 0x9fd5139d, 0x0863fde5), SECP256K1_FE_CONST(0xe5bbb9ef, 0x360d0a50, 0x1618f006, 0x7d36dceb, 0x75f5be9a, 0x620232aa, 0x9fd5139d, 0x0863fde5), {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0)}}, + {0xff, SECP256K1_FE_CONST(0xe6bcb5c3, 0xd63467d4, 0x90bfa54f, 0xbbc6092a, 0x7248c25e, 0x11b248dc, 0x2964a6e1, 0x5edb1457), SECP256K1_FE_CONST(0x19434a3c, 0x29cb982b, 0x6f405ab0, 0x4439f6d5, 0x8db73da1, 0xee4db723, 0xd69b591d, 0xa124e7d8), {SECP256K1_FE_CONST(0x67119877, 0x832ab8f4, 0x59a82165, 0x6d8261f5, 0x44a553b8, 0x9ae4f25c, 0x52a97134, 0xb70f3426), SECP256K1_FE_CONST(0xffee02f5, 0xe649c07f, 0x0560eff1, 0x867ec7b3, 0x2d0e595e, 0x9b1c0ea6, 0xe2a4fc70, 0xc97cd71f), SECP256K1_FE_CONST(0xb5e0c189, 0xeb5b4bac, 0xd025b744, 0x4d74178b, 0xe8d5246c, 0xfa4a9a20, 0x7964a057, 0xee969992), SECP256K1_FE_CONST(0x5746e459, 0x1bf7f4c3, 0x044609ea, 0x372e9086, 0x03975d27, 0x9fdef834, 0x9f0b08d3, 0x2f07619d), SECP256K1_FE_CONST(0x98ee6788, 0x7cd5470b, 0xa657de9a, 0x927d9e0a, 0xbb5aac47, 0x651b0da3, 0xad568eca, 0x48f0c809), SECP256K1_FE_CONST(0x0011fd0a, 0x19b63f80, 0xfa9f100e, 0x7981384c, 0xd2f1a6a1, 0x64e3f159, 0x1d5b038e, 0x36832510), SECP256K1_FE_CONST(0x4a1f3e76, 0x14a4b453, 0x2fda48bb, 0xb28be874, 0x172adb93, 0x05b565df, 0x869b5fa7, 0x1169629d), SECP256K1_FE_CONST(0xa8b91ba6, 0xe4080b3c, 0xfbb9f615, 0xc8d16f79, 0xfc68a2d8, 0x602107cb, 0x60f4f72b, 0xd0f89a92)}}, + {0x33, SECP256K1_FE_CONST(0xf28fba64, 0xaf766845, 0xeb2f4302, 0x456e2b9f, 0x8d80affe, 0x57e7aae4, 0x2738d7cd, 0xdb1c2ce6), SECP256K1_FE_CONST(0xf28fba64, 0xaf766845, 0xeb2f4302, 0x456e2b9f, 0x8d80affe, 0x57e7aae4, 0x2738d7cd, 0xdb1c2ce6), {SECP256K1_FE_CONST(0x4f867ad8, 0xbb3d8404, 0x09d26b67, 0x307e6210, 0x0153273f, 0x72fa4b74, 0x84becfa1, 0x4ebe7408), SECP256K1_FE_CONST(0x5bbc4f59, 0xe452cc5f, 0x22a99144, 0xb10ce898, 0x9a89a995, 0xec3cea1c, 0x91ae10e8, 0xf721bb5d), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0xb0798527, 0x44c27bfb, 0xf62d9498, 0xcf819def, 0xfeacd8c0, 0x8d05b48b, 0x7b41305d, 0xb1418827), SECP256K1_FE_CONST(0xa443b0a6, 0x1bad33a0, 0xdd566ebb, 0x4ef31767, 0x6576566a, 0x13c315e3, 0x6e51ef16, 0x08de40d2), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0)}}, + {0xcc, SECP256K1_FE_CONST(0xf455605b, 0xc85bf48e, 0x3a908c31, 0x023faf98, 0x381504c6, 0xc6d3aeb9, 0xede55f8d, 0xd528924d), SECP256K1_FE_CONST(0xd31fbcd5, 0xcdb798f6, 0xc00db669, 0x2f8fe896, 0x7fa9c79d, 0xd10958f4, 0xa194f013, 0x74905e99), {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0x0c00c571, 0x5b56fe63, 0x2d814ad8, 0xa77f8e66, 0x628ea47a, 0x6116834f, 0x8c1218f3, 0xa03cbd50), SECP256K1_FE_CONST(0xdf88e44f, 0xac84fa52, 0xdf4d59f4, 0x8819f18f, 0x6a8cd415, 0x1d162afa, 0xf773166f, 0x57c7ff46), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0xf3ff3a8e, 0xa4a9019c, 0xd27eb527, 0x58807199, 0x9d715b85, 0x9ee97cb0, 0x73ede70b, 0x5fc33edf), SECP256K1_FE_CONST(0x20771bb0, 0x537b05ad, 0x20b2a60b, 0x77e60e70, 0x95732bea, 0xe2e9d505, 0x088ce98f, 0xa837fce9)}}, + {0xff, SECP256K1_FE_CONST(0xf58cd4d9, 0x830bad32, 0x2699035e, 0x8246007d, 0x4be27e19, 0xb6f53621, 0x317b4f30, 0x9b3daa9d), SECP256K1_FE_CONST(0x78ec2b3d, 0xc0948de5, 0x60148bbc, 0x7c6dc963, 0x3ad5df70, 0xa5a5750c, 0xbed72180, 0x4f082a3b), {SECP256K1_FE_CONST(0x6c4c580b, 0x76c75940, 0x43569f9d, 0xae16dc28, 0x01c16a1f, 0xbe128608, 0x81b75f8e, 0xf929bce5), SECP256K1_FE_CONST(0x94231355, 0xe7385c5f, 0x25ca436a, 0xa6419147, 0x1aea4393, 0xd6e86ab7, 0xa35fe2af, 0xacaefd0d), SECP256K1_FE_CONST(0xdff2a195, 0x1ada6db5, 0x74df8340, 0x48149da3, 0x397a75b8, 0x29abf58c, 0x7e69db1b, 0x41ac0989), SECP256K1_FE_CONST(0xa52b66d3, 0xc9070355, 0x48028bf8, 0x04711bf4, 0x22aba95f, 0x1a666fc8, 0x6f4648e0, 0x5f29caae), SECP256K1_FE_CONST(0x93b3a7f4, 0x8938a6bf, 0xbca96062, 0x51e923d7, 0xfe3e95e0, 0x41ed79f7, 0x7e48a070, 0x06d63f4a), SECP256K1_FE_CONST(0x6bdcecaa, 0x18c7a3a0, 0xda35bc95, 0x59be6eb8, 0xe515bc6c, 0x29179548, 0x5ca01d4f, 0x5350ff22), SECP256K1_FE_CONST(0x200d5e6a, 0xe525924a, 0x8b207cbf, 0xb7eb625c, 0xc6858a47, 0xd6540a73, 0x819624e3, 0xbe53f2a6), SECP256K1_FE_CONST(0x5ad4992c, 0x36f8fcaa, 0xb7fd7407, 0xfb8ee40b, 0xdd5456a0, 0xe5999037, 0x90b9b71e, 0xa0d63181)}}, + {0x00, SECP256K1_FE_CONST(0xfd7d912a, 0x40f182a3, 0x588800d6, 0x9ebfb504, 0x8766da20, 0x6fd7ebc8, 0xd2436c81, 0xcbef6421), SECP256K1_FE_CONST(0x8d37c862, 0x054debe7, 0x31694536, 0xff46b273, 0xec122b35, 0xa9bf1445, 0xac3c4ff9, 0xf262c952), {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0)}}, +}; + +/* Set of (encoding, xcoord) test vectors, selected to maximize branch coverage, part of the BIP324 + * test vectors. Created using an independent implementation, and tested decoding against the paper + * authors' code. */ +static const struct ellswift_decode_test ellswift_decode_tests[] = { + {{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}, SECP256K1_FE_CONST(0xedd1fd3e, 0x327ce90c, 0xc7a35426, 0x14289aee, 0x9682003e, 0x9cf7dcc9, 0xcf2ca974, 0x3be5aa0c), 0}, + {{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01, 0xd3, 0x47, 0x5b, 0xf7, 0x65, 0x5b, 0x0f, 0xb2, 0xd8, 0x52, 0x92, 0x10, 0x35, 0xb2, 0xef, 0x60, 0x7f, 0x49, 0x06, 0x9b, 0x97, 0x45, 0x4e, 0x67, 0x95, 0x25, 0x10, 0x62, 0x74, 0x17, 0x71}, SECP256K1_FE_CONST(0xb5da00b7, 0x3cd65605, 0x20e7c364, 0x086e7cd2, 0x3a34bf60, 0xd0e707be, 0x9fc34d4c, 0xd5fdfa2c), 1}, + {{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x82, 0x27, 0x7c, 0x4a, 0x71, 0xf9, 0xd2, 0x2e, 0x66, 0xec, 0xe5, 0x23, 0xf8, 0xfa, 0x08, 0x74, 0x1a, 0x7c, 0x09, 0x12, 0xc6, 0x6a, 0x69, 0xce, 0x68, 0x51, 0x4b, 0xfd, 0x35, 0x15, 0xb4, 0x9f}, SECP256K1_FE_CONST(0xf482f2e2, 0x41753ad0, 0xfb89150d, 0x8491dc1e, 0x34ff0b8a, 0xcfbb442c, 0xfe999e2e, 0x5e6fd1d2), 1}, + {{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x84, 0x21, 0xcc, 0x93, 0x0e, 0x77, 0xc9, 0xf5, 0x14, 0xb6, 0x91, 0x5c, 0x3d, 0xbe, 0x2a, 0x94, 0xc6, 0xd8, 0xf6, 0x90, 0xb5, 0xb7, 0x39, 0x86, 0x4b, 0xa6, 0x78, 0x9f, 0xb8, 0xa5, 0x5d, 0xd0}, SECP256K1_FE_CONST(0x9f59c402, 0x75f5085a, 0x006f05da, 0xe77eb98c, 0x6fd0db1a, 0xb4a72ac4, 0x7eae90a4, 0xfc9e57e0), 0}, + {{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xbd, 0xe7, 0x0d, 0xf5, 0x19, 0x39, 0xb9, 0x4c, 0x9c, 0x24, 0x97, 0x9f, 0xa7, 0xdd, 0x04, 0xeb, 0xd9, 0xb3, 0x57, 0x2d, 0xa7, 0x80, 0x22, 0x90, 0x43, 0x8a, 0xf2, 0xa6, 0x81, 0x89, 0x54, 0x41}, SECP256K1_FE_CONST(0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaa9, 0xfffffd6b), 1}, + {{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xd1, 0x9c, 0x18, 0x2d, 0x27, 0x59, 0xcd, 0x99, 0x82, 0x42, 0x28, 0xd9, 0x47, 0x99, 0xf8, 0xc6, 0x55, 0x7c, 0x38, 0xa1, 0xc0, 0xd6, 0x77, 0x9b, 0x9d, 0x4b, 0x72, 0x9c, 0x6f, 0x1c, 0xcc, 0x42}, SECP256K1_FE_CONST(0x70720db7, 0xe238d041, 0x21f5b1af, 0xd8cc5ad9, 0xd18944c6, 0xbdc94881, 0xf502b7a3, 0xaf3aecff), 0}, + {{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x2f}, SECP256K1_FE_CONST(0xedd1fd3e, 0x327ce90c, 0xc7a35426, 0x14289aee, 0x9682003e, 0x9cf7dcc9, 0xcf2ca974, 0x3be5aa0c), 0}, + {{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x26, 0x64, 0xbb, 0xd5}, SECP256K1_FE_CONST(0x50873db3, 0x1badcc71, 0x890e4f67, 0x753a6575, 0x7f97aaa7, 0xdd5f1e82, 0xb753ace3, 0x2219064b), 0}, + {{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x70, 0x28, 0xde, 0x7d}, SECP256K1_FE_CONST(0x1eea9cc5, 0x9cfcf2fa, 0x151ac6c2, 0x74eea411, 0x0feb4f7b, 0x68c59657, 0x32e9992e, 0x976ef68e), 0}, + {{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xcb, 0xcf, 0xb7, 0xe7}, SECP256K1_FE_CONST(0x12303941, 0xaedc2088, 0x80735b1f, 0x1795c8e5, 0x5be520ea, 0x93e10335, 0x7b5d2adb, 0x7ed59b8e), 0}, + {{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xf3, 0x11, 0x3a, 0xd9}, SECP256K1_FE_CONST(0x7eed6b70, 0xe7b0767c, 0x7d7feac0, 0x4e57aa2a, 0x12fef5e0, 0xf48f878f, 0xcbb88b3b, 0x6b5e0783), 0}, + {{0x0a, 0x2d, 0x2b, 0xa9, 0x35, 0x07, 0xf1, 0xdf, 0x23, 0x37, 0x70, 0xc2, 0xa7, 0x97, 0x96, 0x2c, 0xc6, 0x1f, 0x6d, 0x15, 0xda, 0x14, 0xec, 0xd4, 0x7d, 0x8d, 0x27, 0xae, 0x1c, 0xd5, 0xf8, 0x53, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}, SECP256K1_FE_CONST(0x532167c1, 0x1200b08c, 0x0e84a354, 0xe74dcc40, 0xf8b25f4f, 0xe686e308, 0x69526366, 0x278a0688), 0}, + {{0x0a, 0x2d, 0x2b, 0xa9, 0x35, 0x07, 0xf1, 0xdf, 0x23, 0x37, 0x70, 0xc2, 0xa7, 0x97, 0x96, 0x2c, 0xc6, 0x1f, 0x6d, 0x15, 0xda, 0x14, 0xec, 0xd4, 0x7d, 0x8d, 0x27, 0xae, 0x1c, 0xd5, 0xf8, 0x53, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x2f}, SECP256K1_FE_CONST(0x532167c1, 0x1200b08c, 0x0e84a354, 0xe74dcc40, 0xf8b25f4f, 0xe686e308, 0x69526366, 0x278a0688), 0}, + {{0x0f, 0xfd, 0xe9, 0xca, 0x81, 0xd7, 0x51, 0xe9, 0xcd, 0xaf, 0xfc, 0x1a, 0x50, 0x77, 0x92, 0x45, 0x32, 0x0b, 0x28, 0x99, 0x6d, 0xba, 0xf3, 0x2f, 0x82, 0x2f, 0x20, 0x11, 0x7c, 0x22, 0xfb, 0xd6, 0xc7, 0x4d, 0x99, 0xef, 0xce, 0xaa, 0x55, 0x0f, 0x1a, 0xd1, 0xc0, 0xf4, 0x3f, 0x46, 0xe7, 0xff, 0x1e, 0xe3, 0xbd, 0x01, 0x62, 0xb7, 0xbf, 0x55, 0xf2, 0x96, 0x5d, 0xa9, 0xc3, 0x45, 0x06, 0x46}, SECP256K1_FE_CONST(0x74e880b3, 0xffd18fe3, 0xcddf7902, 0x522551dd, 0xf97fa4a3, 0x5a3cfda8, 0x197f9470, 0x81a57b8f), 0}, + {{0x0f, 0xfd, 0xe9, 0xca, 0x81, 0xd7, 0x51, 0xe9, 0xcd, 0xaf, 0xfc, 0x1a, 0x50, 0x77, 0x92, 0x45, 0x32, 0x0b, 0x28, 0x99, 0x6d, 0xba, 0xf3, 0x2f, 0x82, 0x2f, 0x20, 0x11, 0x7c, 0x22, 0xfb, 0xd6, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x15, 0x6c, 0xa8, 0x96}, SECP256K1_FE_CONST(0x377b643f, 0xce2271f6, 0x4e5c8101, 0x566107c1, 0xbe498074, 0x50917838, 0x04f65478, 0x1ac9217c), 1}, + {{0x12, 0x36, 0x58, 0x44, 0x4f, 0x32, 0xbe, 0x8f, 0x02, 0xea, 0x20, 0x34, 0xaf, 0xa7, 0xef, 0x4b, 0xbe, 0x8a, 0xdc, 0x91, 0x8c, 0xeb, 0x49, 0xb1, 0x27, 0x73, 0xb6, 0x25, 0xf4, 0x90, 0xb3, 0x68, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x8d, 0xc5, 0xfe, 0x11}, SECP256K1_FE_CONST(0xed16d65c, 0xf3a9538f, 0xcb2c139f, 0x1ecbc143, 0xee148271, 0x20cbc265, 0x9e667256, 0x800b8142), 0}, + {{0x14, 0x6f, 0x92, 0x46, 0x4d, 0x15, 0xd3, 0x6e, 0x35, 0x38, 0x2b, 0xd3, 0xca, 0x5b, 0x0f, 0x97, 0x6c, 0x95, 0xcb, 0x08, 0xac, 0xdc, 0xf2, 0xd5, 0xb3, 0x57, 0x06, 0x17, 0x99, 0x08, 0x39, 0xd7, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x31, 0x45, 0xe9, 0x3b}, SECP256K1_FE_CONST(0x0d5cd840, 0x427f941f, 0x65193079, 0xab8e2e83, 0x024ef2ee, 0x7ca558d8, 0x8879ffd8, 0x79fb6657), 0}, + {{0x15, 0xfd, 0xf5, 0xcf, 0x09, 0xc9, 0x07, 0x59, 0xad, 0xd2, 0x27, 0x2d, 0x57, 0x4d, 0x2b, 0xb5, 0xfe, 0x14, 0x29, 0xf9, 0xf3, 0xc1, 0x4c, 0x65, 0xe3, 0x19, 0x4b, 0xf6, 0x1b, 0x82, 0xaa, 0x73, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x04, 0xcf, 0xd9, 0x06}, SECP256K1_FE_CONST(0x16d0e439, 0x46aec93f, 0x62d57eb8, 0xcde68951, 0xaf136cf4, 0xb307938d, 0xd1447411, 0xe07bffe1), 1}, + {{0x1f, 0x67, 0xed, 0xf7, 0x79, 0xa8, 0xa6, 0x49, 0xd6, 0xde, 0xf6, 0x00, 0x35, 0xf2, 0xfa, 0x22, 0xd0, 0x22, 0xdd, 0x35, 0x90, 0x79, 0xa1, 0xa1, 0x44, 0x07, 0x3d, 0x84, 0xf1, 0x9b, 0x92, 0xd5, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}, SECP256K1_FE_CONST(0x025661f9, 0xaba9d15c, 0x3118456b, 0xbe980e3e, 0x1b8ba2e0, 0x47c737a4, 0xeb48a040, 0xbb566f6c), 0}, + {{0x1f, 0x67, 0xed, 0xf7, 0x79, 0xa8, 0xa6, 0x49, 0xd6, 0xde, 0xf6, 0x00, 0x35, 0xf2, 0xfa, 0x22, 0xd0, 0x22, 0xdd, 0x35, 0x90, 0x79, 0xa1, 0xa1, 0x44, 0x07, 0x3d, 0x84, 0xf1, 0x9b, 0x92, 0xd5, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x2f}, SECP256K1_FE_CONST(0x025661f9, 0xaba9d15c, 0x3118456b, 0xbe980e3e, 0x1b8ba2e0, 0x47c737a4, 0xeb48a040, 0xbb566f6c), 0}, + {{0x1f, 0xe1, 0xe5, 0xef, 0x3f, 0xce, 0xb5, 0xc1, 0x35, 0xab, 0x77, 0x41, 0x33, 0x3c, 0xe5, 0xa6, 0xe8, 0x0d, 0x68, 0x16, 0x76, 0x53, 0xf6, 0xb2, 0xb2, 0x4b, 0xcb, 0xcf, 0xaa, 0xaf, 0xf5, 0x07, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x2f}, SECP256K1_FE_CONST(0x98bec3b2, 0xa351fa96, 0xcfd191c1, 0x77835193, 0x1b9e9ba9, 0xad1149f6, 0xd9eadca8, 0x0981b801), 0}, + {{0x40, 0x56, 0xa3, 0x4a, 0x21, 0x0e, 0xec, 0x78, 0x92, 0xe8, 0x82, 0x06, 0x75, 0xc8, 0x60, 0x09, 0x9f, 0x85, 0x7b, 0x26, 0xaa, 0xd8, 0x54, 0x70, 0xee, 0x6d, 0x3c, 0xf1, 0x30, 0x4a, 0x9d, 0xcf, 0x37, 0x5e, 0x70, 0x37, 0x42, 0x71, 0xf2, 0x0b, 0x13, 0xc9, 0x98, 0x6e, 0xd7, 0xd3, 0xc1, 0x77, 0x99, 0x69, 0x8c, 0xfc, 0x43, 0x5d, 0xbe, 0xd3, 0xa9, 0xf3, 0x4b, 0x38, 0xc8, 0x23, 0xc2, 0xb4}, SECP256K1_FE_CONST(0x868aac20, 0x03b29dbc, 0xad1a3e80, 0x3855e078, 0xa89d1654, 0x3ac64392, 0xd1224172, 0x98cec76e), 0}, + {{0x41, 0x97, 0xec, 0x37, 0x23, 0xc6, 0x54, 0xcf, 0xdd, 0x32, 0xab, 0x07, 0x55, 0x06, 0x64, 0x8b, 0x2f, 0xf5, 0x07, 0x03, 0x62, 0xd0, 0x1a, 0x4f, 0xff, 0x14, 0xb3, 0x36, 0xb7, 0x8f, 0x96, 0x3f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xb3, 0xab, 0x1e, 0x95}, SECP256K1_FE_CONST(0xba5a6314, 0x502a8952, 0xb8f456e0, 0x85928105, 0xf665377a, 0x8ce27726, 0xa5b0eb7e, 0xc1ac0286), 0}, + {{0x47, 0xeb, 0x3e, 0x20, 0x8f, 0xed, 0xcd, 0xf8, 0x23, 0x4c, 0x94, 0x21, 0xe9, 0xcd, 0x9a, 0x7a, 0xe8, 0x73, 0xbf, 0xbd, 0xbc, 0x39, 0x37, 0x23, 0xd1, 0xba, 0x1e, 0x1e, 0x6a, 0x8e, 0x6b, 0x24, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x7c, 0xd1, 0x2c, 0xb1}, SECP256K1_FE_CONST(0xd192d520, 0x07e541c9, 0x807006ed, 0x0468df77, 0xfd214af0, 0xa795fe11, 0x9359666f, 0xdcf08f7c), 0}, + {{0x5e, 0xb9, 0x69, 0x6a, 0x23, 0x36, 0xfe, 0x2c, 0x3c, 0x66, 0x6b, 0x02, 0xc7, 0x55, 0xdb, 0x4c, 0x0c, 0xfd, 0x62, 0x82, 0x5c, 0x7b, 0x58, 0x9a, 0x7b, 0x7b, 0xb4, 0x42, 0xe1, 0x41, 0xc1, 0xd6, 0x93, 0x41, 0x3f, 0x00, 0x52, 0xd4, 0x9e, 0x64, 0xab, 0xec, 0x6d, 0x58, 0x31, 0xd6, 0x6c, 0x43, 0x61, 0x28, 0x30, 0xa1, 0x7d, 0xf1, 0xfe, 0x43, 0x83, 0xdb, 0x89, 0x64, 0x68, 0x10, 0x02, 0x21}, SECP256K1_FE_CONST(0xef6e1da6, 0xd6c7627e, 0x80f7a723, 0x4cb08a02, 0x2c1ee1cf, 0x29e4d0f9, 0x642ae924, 0xcef9eb38), 1}, + {{0x7b, 0xf9, 0x6b, 0x7b, 0x6d, 0xa1, 0x5d, 0x34, 0x76, 0xa2, 0xb1, 0x95, 0x93, 0x4b, 0x69, 0x0a, 0x3a, 0x3d, 0xe3, 0xe8, 0xab, 0x84, 0x74, 0x85, 0x68, 0x63, 0xb0, 0xde, 0x3a, 0xf9, 0x0b, 0x0e, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}, SECP256K1_FE_CONST(0x50851dfc, 0x9f418c31, 0x4a437295, 0xb24feeea, 0x27af3d0c, 0xd2308348, 0xfda6e21c, 0x463e46ff), 0}, + {{0x7b, 0xf9, 0x6b, 0x7b, 0x6d, 0xa1, 0x5d, 0x34, 0x76, 0xa2, 0xb1, 0x95, 0x93, 0x4b, 0x69, 0x0a, 0x3a, 0x3d, 0xe3, 0xe8, 0xab, 0x84, 0x74, 0x85, 0x68, 0x63, 0xb0, 0xde, 0x3a, 0xf9, 0x0b, 0x0e, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x2f}, SECP256K1_FE_CONST(0x50851dfc, 0x9f418c31, 0x4a437295, 0xb24feeea, 0x27af3d0c, 0xd2308348, 0xfda6e21c, 0x463e46ff), 0}, + {{0x85, 0x1b, 0x1c, 0xa9, 0x45, 0x49, 0x37, 0x1c, 0x4f, 0x1f, 0x71, 0x87, 0x32, 0x1d, 0x39, 0xbf, 0x51, 0xc6, 0xb7, 0xfb, 0x61, 0xf7, 0xcb, 0xf0, 0x27, 0xc9, 0xda, 0x62, 0x02, 0x1b, 0x7a, 0x65, 0xfc, 0x54, 0xc9, 0x68, 0x37, 0xfb, 0x22, 0xb3, 0x62, 0xed, 0xa6, 0x3e, 0xc5, 0x2e, 0xc8, 0x3d, 0x81, 0xbe, 0xdd, 0x16, 0x0c, 0x11, 0xb2, 0x2d, 0x96, 0x5d, 0x9f, 0x4a, 0x6d, 0x64, 0xd2, 0x51}, SECP256K1_FE_CONST(0x3e731051, 0xe12d3323, 0x7eb324f2, 0xaa5b16bb, 0x868eb49a, 0x1aa1fadc, 0x19b6e876, 0x1b5a5f7b), 1}, + {{0x94, 0x3c, 0x2f, 0x77, 0x51, 0x08, 0xb7, 0x37, 0xfe, 0x65, 0xa9, 0x53, 0x1e, 0x19, 0xf2, 0xfc, 0x2a, 0x19, 0x7f, 0x56, 0x03, 0xe3, 0xa2, 0x88, 0x1d, 0x1d, 0x83, 0xe4, 0x00, 0x8f, 0x91, 0x25, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}, SECP256K1_FE_CONST(0x311c61f0, 0xab2f32b7, 0xb1f0223f, 0xa72f0a78, 0x752b8146, 0xe46107f8, 0x876dd9c4, 0xf92b2942), 0}, + {{0x94, 0x3c, 0x2f, 0x77, 0x51, 0x08, 0xb7, 0x37, 0xfe, 0x65, 0xa9, 0x53, 0x1e, 0x19, 0xf2, 0xfc, 0x2a, 0x19, 0x7f, 0x56, 0x03, 0xe3, 0xa2, 0x88, 0x1d, 0x1d, 0x83, 0xe4, 0x00, 0x8f, 0x91, 0x25, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x2f}, SECP256K1_FE_CONST(0x311c61f0, 0xab2f32b7, 0xb1f0223f, 0xa72f0a78, 0x752b8146, 0xe46107f8, 0x876dd9c4, 0xf92b2942), 0}, + {{0xa0, 0xf1, 0x84, 0x92, 0x18, 0x3e, 0x61, 0xe8, 0x06, 0x3e, 0x57, 0x36, 0x06, 0x59, 0x14, 0x21, 0xb0, 0x6b, 0xc3, 0x51, 0x36, 0x31, 0x57, 0x8a, 0x73, 0xa3, 0x9c, 0x1c, 0x33, 0x06, 0x23, 0x9f, 0x2f, 0x32, 0x90, 0x4f, 0x0d, 0x2a, 0x33, 0xec, 0xca, 0x8a, 0x54, 0x51, 0x70, 0x5b, 0xb5, 0x37, 0xd3, 0xbf, 0x44, 0xe0, 0x71, 0x22, 0x60, 0x25, 0xcd, 0xbf, 0xd2, 0x49, 0xfe, 0x0f, 0x7a, 0xd6}, SECP256K1_FE_CONST(0x97a09cf1, 0xa2eae7c4, 0x94df3c6f, 0x8a9445bf, 0xb8c09d60, 0x832f9b0b, 0x9d5eabe2, 0x5fbd14b9), 0}, + {{0xa1, 0xed, 0x0a, 0x0b, 0xd7, 0x9d, 0x8a, 0x23, 0xcf, 0xe4, 0xec, 0x5f, 0xef, 0x5b, 0xa5, 0xcc, 0xcf, 0xd8, 0x44, 0xe4, 0xff, 0x5c, 0xb4, 0xb0, 0xf2, 0xe7, 0x16, 0x27, 0x34, 0x1f, 0x1c, 0x5b, 0x17, 0xc4, 0x99, 0x24, 0x9e, 0x0a, 0xc0, 0x8d, 0x5d, 0x11, 0xea, 0x1c, 0x2c, 0x8c, 0xa7, 0x00, 0x16, 0x16, 0x55, 0x9a, 0x79, 0x94, 0xea, 0xde, 0xc9, 0xca, 0x10, 0xfb, 0x4b, 0x85, 0x16, 0xdc}, SECP256K1_FE_CONST(0x65a89640, 0x744192cd, 0xac64b2d2, 0x1ddf989c, 0xdac75007, 0x25b645be, 0xf8e2200a, 0xe39691f2), 0}, + {{0xba, 0x94, 0x59, 0x4a, 0x43, 0x27, 0x21, 0xaa, 0x35, 0x80, 0xb8, 0x4c, 0x16, 0x1d, 0x0d, 0x13, 0x4b, 0xc3, 0x54, 0xb6, 0x90, 0x40, 0x4d, 0x7c, 0xd4, 0xec, 0x57, 0xc1, 0x6d, 0x3f, 0xbe, 0x98, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xea, 0x50, 0x7d, 0xd7}, SECP256K1_FE_CONST(0x5e0d7656, 0x4aae92cb, 0x347e01a6, 0x2afd389a, 0x9aa401c7, 0x6c8dd227, 0x543dc9cd, 0x0efe685a), 0}, + {{0xbc, 0xaf, 0x72, 0x19, 0xf2, 0xf6, 0xfb, 0xf5, 0x5f, 0xe5, 0xe0, 0x62, 0xdc, 0xe0, 0xe4, 0x8c, 0x18, 0xf6, 0x81, 0x03, 0xf1, 0x0b, 0x81, 0x98, 0xe9, 0x74, 0xc1, 0x84, 0x75, 0x0e, 0x1b, 0xe3, 0x93, 0x20, 0x16, 0xcb, 0xf6, 0x9c, 0x44, 0x71, 0xbd, 0x1f, 0x65, 0x6c, 0x6a, 0x10, 0x7f, 0x19, 0x73, 0xde, 0x4a, 0xf7, 0x08, 0x6d, 0xb8, 0x97, 0x27, 0x70, 0x60, 0xe2, 0x56, 0x77, 0xf1, 0x9a}, SECP256K1_FE_CONST(0x2d97f96c, 0xac882dfe, 0x73dc44db, 0x6ce0f1d3, 0x1d624135, 0x8dd5d74e, 0xb3d3b500, 0x03d24c2b), 0}, + {{0xbc, 0xaf, 0x72, 0x19, 0xf2, 0xf6, 0xfb, 0xf5, 0x5f, 0xe5, 0xe0, 0x62, 0xdc, 0xe0, 0xe4, 0x8c, 0x18, 0xf6, 0x81, 0x03, 0xf1, 0x0b, 0x81, 0x98, 0xe9, 0x74, 0xc1, 0x84, 0x75, 0x0e, 0x1b, 0xe3, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x65, 0x07, 0xd0, 0x9a}, SECP256K1_FE_CONST(0xe7008afe, 0x6e8cbd50, 0x55df120b, 0xd748757c, 0x686dadb4, 0x1cce75e4, 0xaddcc5e0, 0x2ec02b44), 1}, + {{0xc5, 0x98, 0x1b, 0xae, 0x27, 0xfd, 0x84, 0x40, 0x1c, 0x72, 0xa1, 0x55, 0xe5, 0x70, 0x7f, 0xbb, 0x81, 0x1b, 0x2b, 0x62, 0x06, 0x45, 0xd1, 0x02, 0x8e, 0xa2, 0x70, 0xcb, 0xe0, 0xee, 0x22, 0x5d, 0x4b, 0x62, 0xaa, 0x4d, 0xca, 0x65, 0x06, 0xc1, 0xac, 0xdb, 0xec, 0xc0, 0x55, 0x25, 0x69, 0xb4, 0xb2, 0x14, 0x36, 0xa5, 0x69, 0x2e, 0x25, 0xd9, 0x0d, 0x3b, 0xc2, 0xeb, 0x7c, 0xe2, 0x40, 0x78}, SECP256K1_FE_CONST(0x948b40e7, 0x181713bc, 0x018ec170, 0x2d3d054d, 0x15746c59, 0xa7020730, 0xdd13ecf9, 0x85a010d7), 0}, + {{0xc8, 0x94, 0xce, 0x48, 0xbf, 0xec, 0x43, 0x30, 0x14, 0xb9, 0x31, 0xa6, 0xad, 0x42, 0x26, 0xd7, 0xdb, 0xd8, 0xea, 0xa7, 0xb6, 0xe3, 0xfa, 0xa8, 0xd0, 0xef, 0x94, 0x05, 0x2b, 0xcf, 0x8c, 0xff, 0x33, 0x6e, 0xeb, 0x39, 0x19, 0xe2, 0xb4, 0xef, 0xb7, 0x46, 0xc7, 0xf7, 0x1b, 0xbc, 0xa7, 0xe9, 0x38, 0x32, 0x30, 0xfb, 0xbc, 0x48, 0xff, 0xaf, 0xe7, 0x7e, 0x8b, 0xcc, 0x69, 0x54, 0x24, 0x71}, SECP256K1_FE_CONST(0xf1c91acd, 0xc2525330, 0xf9b53158, 0x434a4d43, 0xa1c547cf, 0xf29f1550, 0x6f5da4eb, 0x4fe8fa5a), 1}, + {{0xcb, 0xb0, 0xde, 0xab, 0x12, 0x57, 0x54, 0xf1, 0xfd, 0xb2, 0x03, 0x8b, 0x04, 0x34, 0xed, 0x9c, 0xb3, 0xfb, 0x53, 0xab, 0x73, 0x53, 0x91, 0x12, 0x99, 0x94, 0xa5, 0x35, 0xd9, 0x25, 0xf6, 0x73, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}, SECP256K1_FE_CONST(0x872d81ed, 0x8831d999, 0x8b67cb71, 0x05243edb, 0xf86c10ed, 0xfebb786c, 0x110b02d0, 0x7b2e67cd), 0}, + {{0xd9, 0x17, 0xb7, 0x86, 0xda, 0xc3, 0x56, 0x70, 0xc3, 0x30, 0xc9, 0xc5, 0xae, 0x59, 0x71, 0xdf, 0xb4, 0x95, 0xc8, 0xae, 0x52, 0x3e, 0xd9, 0x7e, 0xe2, 0x42, 0x01, 0x17, 0xb1, 0x71, 0xf4, 0x1e, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x20, 0x01, 0xf6, 0xf6}, SECP256K1_FE_CONST(0xe45b71e1, 0x10b831f2, 0xbdad8651, 0x994526e5, 0x8393fde4, 0x328b1ec0, 0x4d598971, 0x42584691), 1}, + {{0xe2, 0x8b, 0xd8, 0xf5, 0x92, 0x9b, 0x46, 0x7e, 0xb7, 0x0e, 0x04, 0x33, 0x23, 0x74, 0xff, 0xb7, 0xe7, 0x18, 0x02, 0x18, 0xad, 0x16, 0xea, 0xa4, 0x6b, 0x71, 0x61, 0xaa, 0x67, 0x9e, 0xb4, 0x26, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}, SECP256K1_FE_CONST(0x66b8c980, 0xa75c72e5, 0x98d383a3, 0x5a62879f, 0x844242ad, 0x1e73ff12, 0xedaa59f4, 0xe58632b5), 0}, + {{0xe2, 0x8b, 0xd8, 0xf5, 0x92, 0x9b, 0x46, 0x7e, 0xb7, 0x0e, 0x04, 0x33, 0x23, 0x74, 0xff, 0xb7, 0xe7, 0x18, 0x02, 0x18, 0xad, 0x16, 0xea, 0xa4, 0x6b, 0x71, 0x61, 0xaa, 0x67, 0x9e, 0xb4, 0x26, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x2f}, SECP256K1_FE_CONST(0x66b8c980, 0xa75c72e5, 0x98d383a3, 0x5a62879f, 0x844242ad, 0x1e73ff12, 0xedaa59f4, 0xe58632b5), 0}, + {{0xe7, 0xee, 0x58, 0x14, 0xc1, 0x70, 0x6b, 0xf8, 0xa8, 0x93, 0x96, 0xa9, 0xb0, 0x32, 0xbc, 0x01, 0x4c, 0x2c, 0xac, 0x9c, 0x12, 0x11, 0x27, 0xdb, 0xf6, 0xc9, 0x92, 0x78, 0xf8, 0xbb, 0x53, 0xd1, 0xdf, 0xd0, 0x4d, 0xbc, 0xda, 0x8e, 0x35, 0x24, 0x66, 0xb6, 0xfc, 0xd5, 0xf2, 0xde, 0xa3, 0xe1, 0x7d, 0x5e, 0x13, 0x31, 0x15, 0x88, 0x6e, 0xda, 0x20, 0xdb, 0x8a, 0x12, 0xb5, 0x4d, 0xe7, 0x1b}, SECP256K1_FE_CONST(0xe842c6e3, 0x529b2342, 0x70a5e977, 0x44edc34a, 0x04d7ba94, 0xe44b6d25, 0x23c9cf01, 0x95730a50), 1}, + {{0xf2, 0x92, 0xe4, 0x68, 0x25, 0xf9, 0x22, 0x5a, 0xd2, 0x3d, 0xc0, 0x57, 0xc1, 0xd9, 0x1c, 0x4f, 0x57, 0xfc, 0xb1, 0x38, 0x6f, 0x29, 0xef, 0x10, 0x48, 0x1c, 0xb1, 0xd2, 0x25, 0x18, 0x59, 0x3f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x70, 0x11, 0xc9, 0x89}, SECP256K1_FE_CONST(0x3cea2c53, 0xb8b01701, 0x66ac7da6, 0x7194694a, 0xdacc84d5, 0x6389225e, 0x330134da, 0xb85a4d55), 0}, + {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x2f, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}, SECP256K1_FE_CONST(0xedd1fd3e, 0x327ce90c, 0xc7a35426, 0x14289aee, 0x9682003e, 0x9cf7dcc9, 0xcf2ca974, 0x3be5aa0c), 0}, + {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x2f, 0x01, 0xd3, 0x47, 0x5b, 0xf7, 0x65, 0x5b, 0x0f, 0xb2, 0xd8, 0x52, 0x92, 0x10, 0x35, 0xb2, 0xef, 0x60, 0x7f, 0x49, 0x06, 0x9b, 0x97, 0x45, 0x4e, 0x67, 0x95, 0x25, 0x10, 0x62, 0x74, 0x17, 0x71}, SECP256K1_FE_CONST(0xb5da00b7, 0x3cd65605, 0x20e7c364, 0x086e7cd2, 0x3a34bf60, 0xd0e707be, 0x9fc34d4c, 0xd5fdfa2c), 1}, + {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x2f, 0x42, 0x18, 0xf2, 0x0a, 0xe6, 0xc6, 0x46, 0xb3, 0x63, 0xdb, 0x68, 0x60, 0x58, 0x22, 0xfb, 0x14, 0x26, 0x4c, 0xa8, 0xd2, 0x58, 0x7f, 0xdd, 0x6f, 0xbc, 0x75, 0x0d, 0x58, 0x7e, 0x76, 0xa7, 0xee}, SECP256K1_FE_CONST(0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaa9, 0xfffffd6b), 0}, + {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x2f, 0x82, 0x27, 0x7c, 0x4a, 0x71, 0xf9, 0xd2, 0x2e, 0x66, 0xec, 0xe5, 0x23, 0xf8, 0xfa, 0x08, 0x74, 0x1a, 0x7c, 0x09, 0x12, 0xc6, 0x6a, 0x69, 0xce, 0x68, 0x51, 0x4b, 0xfd, 0x35, 0x15, 0xb4, 0x9f}, SECP256K1_FE_CONST(0xf482f2e2, 0x41753ad0, 0xfb89150d, 0x8491dc1e, 0x34ff0b8a, 0xcfbb442c, 0xfe999e2e, 0x5e6fd1d2), 1}, + {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x2f, 0x84, 0x21, 0xcc, 0x93, 0x0e, 0x77, 0xc9, 0xf5, 0x14, 0xb6, 0x91, 0x5c, 0x3d, 0xbe, 0x2a, 0x94, 0xc6, 0xd8, 0xf6, 0x90, 0xb5, 0xb7, 0x39, 0x86, 0x4b, 0xa6, 0x78, 0x9f, 0xb8, 0xa5, 0x5d, 0xd0}, SECP256K1_FE_CONST(0x9f59c402, 0x75f5085a, 0x006f05da, 0xe77eb98c, 0x6fd0db1a, 0xb4a72ac4, 0x7eae90a4, 0xfc9e57e0), 0}, + {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x2f, 0xd1, 0x9c, 0x18, 0x2d, 0x27, 0x59, 0xcd, 0x99, 0x82, 0x42, 0x28, 0xd9, 0x47, 0x99, 0xf8, 0xc6, 0x55, 0x7c, 0x38, 0xa1, 0xc0, 0xd6, 0x77, 0x9b, 0x9d, 0x4b, 0x72, 0x9c, 0x6f, 0x1c, 0xcc, 0x42}, SECP256K1_FE_CONST(0x70720db7, 0xe238d041, 0x21f5b1af, 0xd8cc5ad9, 0xd18944c6, 0xbdc94881, 0xf502b7a3, 0xaf3aecff), 0}, + {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x2f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x2f}, SECP256K1_FE_CONST(0xedd1fd3e, 0x327ce90c, 0xc7a35426, 0x14289aee, 0x9682003e, 0x9cf7dcc9, 0xcf2ca974, 0x3be5aa0c), 0}, + {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x2f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x26, 0x64, 0xbb, 0xd5}, SECP256K1_FE_CONST(0x50873db3, 0x1badcc71, 0x890e4f67, 0x753a6575, 0x7f97aaa7, 0xdd5f1e82, 0xb753ace3, 0x2219064b), 0}, + {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x2f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x70, 0x28, 0xde, 0x7d}, SECP256K1_FE_CONST(0x1eea9cc5, 0x9cfcf2fa, 0x151ac6c2, 0x74eea411, 0x0feb4f7b, 0x68c59657, 0x32e9992e, 0x976ef68e), 0}, + {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x2f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xcb, 0xcf, 0xb7, 0xe7}, SECP256K1_FE_CONST(0x12303941, 0xaedc2088, 0x80735b1f, 0x1795c8e5, 0x5be520ea, 0x93e10335, 0x7b5d2adb, 0x7ed59b8e), 0}, + {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x2f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xf3, 0x11, 0x3a, 0xd9}, SECP256K1_FE_CONST(0x7eed6b70, 0xe7b0767c, 0x7d7feac0, 0x4e57aa2a, 0x12fef5e0, 0xf48f878f, 0xcbb88b3b, 0x6b5e0783), 0}, + {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x13, 0xce, 0xa4, 0xa7, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}, SECP256K1_FE_CONST(0x64998443, 0x5b62b4a2, 0x5d40c613, 0x3e8d9ab8, 0xc53d4b05, 0x9ee8a154, 0xa3be0fcf, 0x4e892edb), 0}, + {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x13, 0xce, 0xa4, 0xa7, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x2f}, SECP256K1_FE_CONST(0x64998443, 0x5b62b4a2, 0x5d40c613, 0x3e8d9ab8, 0xc53d4b05, 0x9ee8a154, 0xa3be0fcf, 0x4e892edb), 0}, + {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x15, 0x02, 0x8c, 0x59, 0x00, 0x63, 0xf6, 0x4d, 0x5a, 0x7f, 0x1c, 0x14, 0x91, 0x5c, 0xd6, 0x1e, 0xac, 0x88, 0x6a, 0xb2, 0x95, 0xbe, 0xbd, 0x91, 0x99, 0x25, 0x04, 0xcf, 0x77, 0xed, 0xb0, 0x28, 0xbd, 0xd6, 0x26, 0x7f}, SECP256K1_FE_CONST(0x3fde5713, 0xf8282eea, 0xd7d39d42, 0x01f44a7c, 0x85a5ac8a, 0x0681f35e, 0x54085c6b, 0x69543374), 1}, + {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x27, 0x15, 0xde, 0x86, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}, SECP256K1_FE_CONST(0x3524f77f, 0xa3a6eb43, 0x89c3cb5d, 0x27f1f914, 0x62086429, 0xcd6c0cb0, 0xdf43ea8f, 0x1e7b3fb4), 0}, + {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x27, 0x15, 0xde, 0x86, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x2f}, SECP256K1_FE_CONST(0x3524f77f, 0xa3a6eb43, 0x89c3cb5d, 0x27f1f914, 0x62086429, 0xcd6c0cb0, 0xdf43ea8f, 0x1e7b3fb4), 0}, + {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x2c, 0x2c, 0x57, 0x09, 0xe7, 0x15, 0x6c, 0x41, 0x77, 0x17, 0xf2, 0xfe, 0xab, 0x14, 0x71, 0x41, 0xec, 0x3d, 0xa1, 0x9f, 0xb7, 0x59, 0x57, 0x5c, 0xc6, 0xe3, 0x7b, 0x2e, 0xa5, 0xac, 0x93, 0x09, 0xf2, 0x6f, 0x0f, 0x66}, SECP256K1_FE_CONST(0xd2469ab3, 0xe04acbb2, 0x1c65a180, 0x9f39caaf, 0xe7a77c13, 0xd10f9dd3, 0x8f391c01, 0xdc499c52), 0}, + {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x3a, 0x08, 0xcc, 0x1e, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xf7, 0x60, 0xe9, 0xf0}, SECP256K1_FE_CONST(0x38e2a5ce, 0x6a93e795, 0xe16d2c39, 0x8bc99f03, 0x69202ce2, 0x1e8f09d5, 0x6777b40f, 0xc512bccc), 1}, + {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x3e, 0x91, 0x25, 0x7d, 0x93, 0x20, 0x16, 0xcb, 0xf6, 0x9c, 0x44, 0x71, 0xbd, 0x1f, 0x65, 0x6c, 0x6a, 0x10, 0x7f, 0x19, 0x73, 0xde, 0x4a, 0xf7, 0x08, 0x6d, 0xb8, 0x97, 0x27, 0x70, 0x60, 0xe2, 0x56, 0x77, 0xf1, 0x9a}, SECP256K1_FE_CONST(0x864b3dc9, 0x02c37670, 0x9c10a93a, 0xd4bbe29f, 0xce0012f3, 0xdc8672c6, 0x286bba28, 0xd7d6d6fc), 0}, + {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x79, 0x5d, 0x6c, 0x1c, 0x32, 0x2c, 0xad, 0xf5, 0x99, 0xdb, 0xb8, 0x64, 0x81, 0x52, 0x2b, 0x3c, 0xc5, 0x5f, 0x15, 0xa6, 0x79, 0x32, 0xdb, 0x2a, 0xfa, 0x01, 0x11, 0xd9, 0xed, 0x69, 0x81, 0xbc, 0xd1, 0x24, 0xbf, 0x44}, SECP256K1_FE_CONST(0x766dfe4a, 0x700d9bee, 0x288b903a, 0xd58870e3, 0xd4fe2f0e, 0xf780bcac, 0x5c823f32, 0x0d9a9bef), 0}, + {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x8e, 0x42, 0x6f, 0x03, 0x92, 0x38, 0x90, 0x78, 0xc1, 0x2b, 0x1a, 0x89, 0xe9, 0x54, 0x2f, 0x05, 0x93, 0xbc, 0x96, 0xb6, 0xbf, 0xde, 0x82, 0x24, 0xf8, 0x65, 0x4e, 0xf5, 0xd5, 0xcd, 0xa9, 0x35, 0xa3, 0x58, 0x21, 0x94}, SECP256K1_FE_CONST(0xfaec7bc1, 0x987b6323, 0x3fbc5f95, 0x6edbf37d, 0x54404e74, 0x61c58ab8, 0x631bc68e, 0x451a0478), 0}, + {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x91, 0x19, 0x21, 0x39, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x45, 0xf0, 0xf1, 0xeb}, SECP256K1_FE_CONST(0xec29a50b, 0xae138dbf, 0x7d8e2482, 0x5006bb5f, 0xc1a2cc12, 0x43ba335b, 0xc6116fb9, 0xe498ec1f), 0}, + {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x98, 0xeb, 0x9a, 0xb7, 0x6e, 0x84, 0x49, 0x9c, 0x48, 0x3b, 0x3b, 0xf0, 0x62, 0x14, 0xab, 0xfe, 0x06, 0x5d, 0xdd, 0xf4, 0x3b, 0x86, 0x01, 0xde, 0x59, 0x6d, 0x63, 0xb9, 0xe4, 0x5a, 0x16, 0x6a, 0x58, 0x05, 0x41, 0xfe}, SECP256K1_FE_CONST(0x1e0ff2de, 0xe9b09b13, 0x6292a9e9, 0x10f0d6ac, 0x3e552a64, 0x4bba39e6, 0x4e9dd3e3, 0xbbd3d4d4), 0}, + {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x9b, 0x77, 0xb7, 0xf2, 0xc7, 0x4d, 0x99, 0xef, 0xce, 0xaa, 0x55, 0x0f, 0x1a, 0xd1, 0xc0, 0xf4, 0x3f, 0x46, 0xe7, 0xff, 0x1e, 0xe3, 0xbd, 0x01, 0x62, 0xb7, 0xbf, 0x55, 0xf2, 0x96, 0x5d, 0xa9, 0xc3, 0x45, 0x06, 0x46}, SECP256K1_FE_CONST(0x8b7dd5c3, 0xedba9ee9, 0x7b70eff4, 0x38f22dca, 0x9849c825, 0x4a2f3345, 0xa0a572ff, 0xeaae0928), 0}, + {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x9b, 0x77, 0xb7, 0xf2, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x15, 0x6c, 0xa8, 0x96}, SECP256K1_FE_CONST(0x0881950c, 0x8f51d6b9, 0xa6387465, 0xd5f12609, 0xef1bb254, 0x12a08a74, 0xcb2dfb20, 0x0c74bfbf), 1}, + {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xa2, 0xf5, 0xcd, 0x83, 0x88, 0x16, 0xc1, 0x6c, 0x4f, 0xe8, 0xa1, 0x66, 0x1d, 0x60, 0x6f, 0xdb, 0x13, 0xcf, 0x9a, 0xf0, 0x4b, 0x97, 0x9a, 0x2e, 0x15, 0x9a, 0x09, 0x40, 0x9e, 0xbc, 0x86, 0x45, 0xd5, 0x8f, 0xde, 0x02}, SECP256K1_FE_CONST(0x2f083207, 0xb9fd9b55, 0x0063c31c, 0xd62b8746, 0xbd543bdc, 0x5bbf10e3, 0xa35563e9, 0x27f440c8), 0}, + {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xb1, 0x3f, 0x75, 0xc0, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}, SECP256K1_FE_CONST(0x4f51e0be, 0x078e0cdd, 0xab274215, 0x6adba7e7, 0xa148e731, 0x57072fd6, 0x18cd6094, 0x2b146bd0), 0}, + {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xb1, 0x3f, 0x75, 0xc0, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x2f}, SECP256K1_FE_CONST(0x4f51e0be, 0x078e0cdd, 0xab274215, 0x6adba7e7, 0xa148e731, 0x57072fd6, 0x18cd6094, 0x2b146bd0), 0}, + {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xe7, 0xbc, 0x1f, 0x8d, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}, SECP256K1_FE_CONST(0x16c2ccb5, 0x4352ff4b, 0xd794f6ef, 0xd613c721, 0x97ab7082, 0xda5b563b, 0xdf9cb3ed, 0xaafe74c2), 0}, + {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xe7, 0xbc, 0x1f, 0x8d, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x2f}, SECP256K1_FE_CONST(0x16c2ccb5, 0x4352ff4b, 0xd794f6ef, 0xd613c721, 0x97ab7082, 0xda5b563b, 0xdf9cb3ed, 0xaafe74c2), 0}, + {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xef, 0x64, 0xd1, 0x62, 0x75, 0x05, 0x46, 0xce, 0x42, 0xb0, 0x43, 0x13, 0x61, 0xe5, 0x2d, 0x4f, 0x52, 0x42, 0xd8, 0xf2, 0x4f, 0x33, 0xe6, 0xb1, 0xf9, 0x9b, 0x59, 0x16, 0x47, 0xcb, 0xc8, 0x08, 0xf4, 0x62, 0xaf, 0x51}, SECP256K1_FE_CONST(0xd41244d1, 0x1ca4f652, 0x40687759, 0xf95ca9ef, 0xbab767ed, 0xedb38fd1, 0x8c36e18c, 0xd3b6f6a9), 1}, + {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xf0, 0xe5, 0xbe, 0x52, 0x37, 0x2d, 0xd6, 0xe8, 0x94, 0xb2, 0xa3, 0x26, 0xfc, 0x36, 0x05, 0xa6, 0xe8, 0xf3, 0xc6, 0x9c, 0x71, 0x0b, 0xf2, 0x7d, 0x63, 0x0d, 0xfe, 0x20, 0x04, 0x98, 0x8b, 0x78, 0xeb, 0x6e, 0xab, 0x36}, SECP256K1_FE_CONST(0x64bf84dd, 0x5e03670f, 0xdb24c0f5, 0xd3c2c365, 0x736f51db, 0x6c92d950, 0x10716ad2, 0xd36134c8), 0}, + {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xfb, 0xb9, 0x82, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xf6, 0xd6, 0xdb, 0x1f}, SECP256K1_FE_CONST(0x1c92ccdf, 0xcf4ac550, 0xc28db57c, 0xff0c8515, 0xcb26936c, 0x786584a7, 0x0114008d, 0x6c33a34b), 0}, +}; + +/* Set of expected ellswift_xdh BIP324 shared secrets, given private key, encodings, initiating, + * taken from the BIP324 test vectors. Created using an independent implementation, and tested + * against the paper authors' decoding code. */ +static const struct ellswift_xdh_test ellswift_xdh_tests_bip324[] = { + {{0x61, 0x06, 0x2e, 0xa5, 0x07, 0x1d, 0x80, 0x0b, 0xbf, 0xd5, 0x9e, 0x2e, 0x8b, 0x53, 0xd4, 0x7d, 0x19, 0x4b, 0x09, 0x5a, 0xe5, 0xa4, 0xdf, 0x04, 0x93, 0x6b, 0x49, 0x77, 0x2e, 0xf0, 0xd4, 0xd7}, {0xec, 0x0a, 0xdf, 0xf2, 0x57, 0xbb, 0xfe, 0x50, 0x0c, 0x18, 0x8c, 0x80, 0xb4, 0xfd, 0xd6, 0x40, 0xf6, 0xb4, 0x5a, 0x48, 0x2b, 0xbc, 0x15, 0xfc, 0x7c, 0xef, 0x59, 0x31, 0xde, 0xff, 0x0a, 0xa1, 0x86, 0xf6, 0xeb, 0x9b, 0xba, 0x7b, 0x85, 0xdc, 0x4d, 0xcc, 0x28, 0xb2, 0x87, 0x22, 0xde, 0x1e, 0x3d, 0x91, 0x08, 0xb9, 0x85, 0xe2, 0x96, 0x70, 0x45, 0x66, 0x8f, 0x66, 0x09, 0x8e, 0x47, 0x5b}, {0xa4, 0xa9, 0x4d, 0xfc, 0xe6, 0x9b, 0x4a, 0x2a, 0x0a, 0x09, 0x93, 0x13, 0xd1, 0x0f, 0x9f, 0x7e, 0x7d, 0x64, 0x9d, 0x60, 0x50, 0x1c, 0x9e, 0x1d, 0x27, 0x4c, 0x30, 0x0e, 0x0d, 0x89, 0xaa, 0xfa, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x8f, 0xaf, 0x88, 0xd5}, 1, {0xc6, 0x99, 0x2a, 0x11, 0x7f, 0x5e, 0xdb, 0xea, 0x70, 0xc3, 0xf5, 0x11, 0xd3, 0x2d, 0x26, 0xb9, 0x79, 0x8b, 0xe4, 0xb8, 0x1a, 0x62, 0xea, 0xee, 0x1a, 0x5a, 0xca, 0xa8, 0x45, 0x9a, 0x35, 0x92}}, + {{0x1f, 0x9c, 0x58, 0x1b, 0x35, 0x23, 0x18, 0x38, 0xf0, 0xf1, 0x7c, 0xf0, 0xc9, 0x79, 0x83, 0x5b, 0xac, 0xcb, 0x7f, 0x3a, 0xbb, 0xbb, 0x96, 0xff, 0xcc, 0x31, 0x8a, 0xb7, 0x1e, 0x6e, 0x12, 0x6f}, {0xa1, 0x85, 0x5e, 0x10, 0xe9, 0x4e, 0x00, 0xba, 0xa2, 0x30, 0x41, 0xd9, 0x16, 0xe2, 0x59, 0xf7, 0x04, 0x4e, 0x49, 0x1d, 0xa6, 0x17, 0x12, 0x69, 0x69, 0x47, 0x63, 0xf0, 0x18, 0xc7, 0xe6, 0x36, 0x93, 0xd2, 0x95, 0x75, 0xdc, 0xb4, 0x64, 0xac, 0x81, 0x6b, 0xaa, 0x1b, 0xe3, 0x53, 0xba, 0x12, 0xe3, 0x87, 0x6c, 0xba, 0x76, 0x28, 0xbd, 0x0b, 0xd8, 0xe7, 0x55, 0xe7, 0x21, 0xeb, 0x01, 0x40}, {0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x2f, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}, 0, {0xa0, 0x13, 0x8f, 0x56, 0x4f, 0x74, 0xd0, 0xad, 0x70, 0xbc, 0x33, 0x7d, 0xac, 0xc9, 0xd0, 0xbf, 0x1d, 0x23, 0x49, 0x36, 0x4c, 0xaf, 0x11, 0x88, 0xa1, 0xe6, 0xe8, 0xdd, 0xb3, 0xb7, 0xb1, 0x84}}, + {{0x02, 0x86, 0xc4, 0x1c, 0xd3, 0x09, 0x13, 0xdb, 0x0f, 0xdf, 0xf7, 0xa6, 0x4e, 0xbd, 0xa5, 0xc8, 0xe3, 0xe7, 0xce, 0xf1, 0x0f, 0x2a, 0xeb, 0xc0, 0x0a, 0x76, 0x50, 0x44, 0x3c, 0xf4, 0xc6, 0x0d}, {0xd1, 0xee, 0x8a, 0x93, 0xa0, 0x11, 0x30, 0xcb, 0xf2, 0x99, 0x24, 0x9a, 0x25, 0x8f, 0x94, 0xfe, 0xb5, 0xf4, 0x69, 0xe7, 0xd0, 0xf2, 0xf2, 0x8f, 0x69, 0xee, 0x5e, 0x9a, 0xa8, 0xf9, 0xb5, 0x4a, 0x60, 0xf2, 0xc3, 0xff, 0x2d, 0x02, 0x36, 0x34, 0xec, 0x7f, 0x41, 0x27, 0xa9, 0x6c, 0xc1, 0x16, 0x62, 0xe4, 0x02, 0x89, 0x4c, 0xf1, 0xf6, 0x94, 0xfb, 0x9a, 0x7e, 0xaa, 0x5f, 0x1d, 0x92, 0x44}, {0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x22, 0xd5, 0xe4, 0x41, 0x52, 0x4d, 0x57, 0x1a, 0x52, 0xb3, 0xde, 0xf1, 0x26, 0x18, 0x9d, 0x3f, 0x41, 0x68, 0x90, 0xa9, 0x9d, 0x4d, 0xa6, 0xed, 0xe2, 0xb0, 0xcd, 0xe1, 0x76, 0x0c, 0xe2, 0xc3, 0xf9, 0x84, 0x57, 0xae}, 1, {0x25, 0x0b, 0x93, 0x57, 0x0d, 0x41, 0x11, 0x49, 0x10, 0x5a, 0xb8, 0xcb, 0x0b, 0xc5, 0x07, 0x99, 0x14, 0x90, 0x63, 0x06, 0x36, 0x8c, 0x23, 0xe9, 0xd7, 0x7c, 0x2a, 0x33, 0x26, 0x5b, 0x99, 0x4c}}, + {{0x6c, 0x77, 0x43, 0x2d, 0x1f, 0xda, 0x31, 0xe9, 0xf9, 0x42, 0xf8, 0xaf, 0x44, 0x60, 0x7e, 0x10, 0xf3, 0xad, 0x38, 0xa6, 0x5f, 0x8a, 0x4b, 0xdd, 0xae, 0x82, 0x3e, 0x5e, 0xff, 0x90, 0xdc, 0x38}, {0xd2, 0x68, 0x50, 0x70, 0xc1, 0xe6, 0x37, 0x6e, 0x63, 0x3e, 0x82, 0x52, 0x96, 0x63, 0x4f, 0xd4, 0x61, 0xfa, 0x9e, 0x5b, 0xdf, 0x21, 0x09, 0xbc, 0xeb, 0xd7, 0x35, 0xe5, 0xa9, 0x1f, 0x3e, 0x58, 0x7c, 0x5c, 0xb7, 0x82, 0xab, 0xb7, 0x97, 0xfb, 0xf6, 0xbb, 0x50, 0x74, 0xfd, 0x15, 0x42, 0xa4, 0x74, 0xf2, 0xa4, 0x5b, 0x67, 0x37, 0x63, 0xec, 0x2d, 0xb7, 0xfb, 0x99, 0xb7, 0x37, 0xbb, 0xb9}, {0x56, 0xbd, 0x0c, 0x06, 0xf1, 0x03, 0x52, 0xc3, 0xa1, 0xa9, 0xf4, 0xb4, 0xc9, 0x2f, 0x6f, 0xa2, 0xb2, 0x6d, 0xf1, 0x24, 0xb5, 0x78, 0x78, 0x35, 0x3c, 0x1f, 0xc6, 0x91, 0xc5, 0x1a, 0xbe, 0xa7, 0x7c, 0x88, 0x17, 0xda, 0xee, 0xb9, 0xfa, 0x54, 0x6b, 0x77, 0xc8, 0xda, 0xf7, 0x9d, 0x89, 0xb2, 0x2b, 0x0e, 0x1b, 0x87, 0x57, 0x4e, 0xce, 0x42, 0x37, 0x1f, 0x00, 0x23, 0x7a, 0xa9, 0xd8, 0x3a}, 0, {0x19, 0x18, 0xb7, 0x41, 0xef, 0x5f, 0x9d, 0x1d, 0x76, 0x70, 0xb0, 0x50, 0xc1, 0x52, 0xb4, 0xa4, 0xea, 0xd2, 0xc3, 0x1b, 0xe9, 0xae, 0xcb, 0x06, 0x81, 0xc0, 0xcd, 0x43, 0x24, 0x15, 0x08, 0x53}}, + {{0xa6, 0xec, 0x25, 0x12, 0x7c, 0xa1, 0xaa, 0x4c, 0xf1, 0x6b, 0x20, 0x08, 0x4b, 0xa1, 0xe6, 0x51, 0x6b, 0xaa, 0xe4, 0xd3, 0x24, 0x22, 0x28, 0x8e, 0x9b, 0x36, 0xd8, 0xbd, 0xdd, 0x2d, 0xe3, 0x5a}, {0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x05, 0x3d, 0x7e, 0xcc, 0xa5, 0x3e, 0x33, 0xe1, 0x85, 0xa8, 0xb9, 0xbe, 0x4e, 0x76, 0x99, 0xa9, 0x7c, 0x6f, 0xf4, 0xc7, 0x95, 0x52, 0x2e, 0x59, 0x18, 0xab, 0x7c, 0xd6, 0xb6, 0x88, 0x4f, 0x67, 0xe6, 0x83, 0xf3, 0xdc}, {0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xa7, 0x73, 0x0b, 0xe3, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}, 1, {0xdd, 0x21, 0x0a, 0xa6, 0x62, 0x9f, 0x20, 0xbb, 0x32, 0x8e, 0x5d, 0x89, 0xda, 0xa6, 0xeb, 0x2a, 0xc3, 0xd1, 0xc6, 0x58, 0xa7, 0x25, 0x53, 0x6f, 0xf1, 0x54, 0xf3, 0x1b, 0x53, 0x6c, 0x23, 0xb2}}, + {{0x0a, 0xf9, 0x52, 0x65, 0x9e, 0xd7, 0x6f, 0x80, 0xf5, 0x85, 0x96, 0x6b, 0x95, 0xab, 0x6e, 0x6f, 0xd6, 0x86, 0x54, 0x67, 0x28, 0x27, 0x87, 0x86, 0x84, 0xc8, 0xb5, 0x47, 0xb1, 0xb9, 0x4f, 0x5a}, {0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xc8, 0x10, 0x17, 0xfd, 0x92, 0xfd, 0x31, 0x63, 0x7c, 0x26, 0xc9, 0x06, 0xb4, 0x20, 0x92, 0xe1, 0x1c, 0xc0, 0xd3, 0xaf, 0xae, 0x8d, 0x90, 0x19, 0xd2, 0x57, 0x8a, 0xf2, 0x27, 0x35, 0xce, 0x7b, 0xc4, 0x69, 0xc7, 0x2d}, {0x96, 0x52, 0xd7, 0x8b, 0xae, 0xfc, 0x02, 0x8c, 0xd3, 0x7a, 0x6a, 0x92, 0x62, 0x5b, 0x8b, 0x8f, 0x85, 0xfd, 0xe1, 0xe4, 0xc9, 0x44, 0xad, 0x3f, 0x20, 0xe1, 0x98, 0xbe, 0xf8, 0xc0, 0x2f, 0x19, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xf2, 0xe9, 0x18, 0x70}, 0, {0x35, 0x68, 0xf2, 0xae, 0xa2, 0xe1, 0x4e, 0xf4, 0xee, 0x4a, 0x3c, 0x2a, 0x8b, 0x8d, 0x31, 0xbc, 0x5e, 0x31, 0x87, 0xba, 0x86, 0xdb, 0x10, 0x73, 0x9b, 0x4f, 0xf8, 0xec, 0x92, 0xff, 0x66, 0x55}}, + {{0xf9, 0x0e, 0x08, 0x0c, 0x64, 0xb0, 0x58, 0x24, 0xc5, 0xa2, 0x4b, 0x25, 0x01, 0xd5, 0xae, 0xaf, 0x08, 0xaf, 0x38, 0x72, 0xee, 0x86, 0x0a, 0xa8, 0x0b, 0xdc, 0xd4, 0x30, 0xf7, 0xb6, 0x34, 0x94}, {0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x11, 0x51, 0x73, 0x76, 0x5d, 0xc2, 0x02, 0xcf, 0x02, 0x9a, 0xd3, 0xf1, 0x54, 0x79, 0x73, 0x5d, 0x57, 0x69, 0x7a, 0xf1, 0x2b, 0x01, 0x31, 0xdd, 0x21, 0x43, 0x0d, 0x57, 0x72, 0xe4, 0xef, 0x11, 0x47, 0x4d, 0x58, 0xb9}, {0x12, 0xa5, 0x0f, 0x3f, 0xaf, 0xea, 0x7c, 0x1e, 0xea, 0xda, 0x4c, 0xf8, 0xd3, 0x37, 0x77, 0x70, 0x4b, 0x77, 0x36, 0x14, 0x53, 0xaf, 0xc8, 0x3b, 0xda, 0x91, 0xee, 0xf3, 0x49, 0xae, 0x04, 0x4d, 0x20, 0x12, 0x6c, 0x62, 0x00, 0x54, 0x7e, 0xa5, 0xa6, 0x91, 0x17, 0x76, 0xc0, 0x5d, 0xee, 0x2a, 0x7f, 0x1a, 0x9b, 0xa7, 0xdf, 0xba, 0xbb, 0xbd, 0x27, 0x3c, 0x3e, 0xf2, 0x9e, 0xf4, 0x6e, 0x46}, 1, {0xe2, 0x54, 0x61, 0xfb, 0x0e, 0x4c, 0x16, 0x2e, 0x18, 0x12, 0x3e, 0xcd, 0xe8, 0x83, 0x42, 0xd5, 0x4d, 0x44, 0x96, 0x31, 0xe9, 0xb7, 0x5a, 0x26, 0x6f, 0xd9, 0x26, 0x0c, 0x2b, 0xb2, 0xf4, 0x1d}}, +}; + +/** This is a hasher for ellswift_xdh which just returns the shared X coordinate. + * + * This is generally a bad idea as it means changes to the encoding of the + * exchanged public keys do not affect the shared secret. However, it's used here + * in tests to be able to verify the X coordinate through other means. + */ +static int ellswift_xdh_hash_x32(unsigned char *output, const unsigned char *x32, const unsigned char *ell_a64, const unsigned char *ell_b64, void *data) { + (void)ell_a64; + (void)ell_b64; + (void)data; + memcpy(output, x32, 32); + return 1; +} + +void run_ellswift_tests(void) { + int i = 0; + /* Test vectors. */ + for (i = 0; (unsigned)i < sizeof(ellswift_xswiftec_inv_tests) / sizeof(ellswift_xswiftec_inv_tests[0]); ++i) { + const struct ellswift_xswiftec_inv_test *testcase = &ellswift_xswiftec_inv_tests[i]; + int c; + for (c = 0; c < 8; ++c) { + secp256k1_fe t; + int ret = secp256k1_ellswift_xswiftec_inv_var(&t, &testcase->x, &testcase->u, c); + CHECK(ret == ((testcase->enc_bitmap >> c) & 1)); + if (ret) { + secp256k1_fe x2; + CHECK(fe_equal(&t, &testcase->encs[c])); + secp256k1_ellswift_xswiftec_var(&x2, &testcase->u, &testcase->encs[c]); + CHECK(fe_equal(&testcase->x, &x2)); + } + } + } + for (i = 0; (unsigned)i < sizeof(ellswift_decode_tests) / sizeof(ellswift_decode_tests[0]); ++i) { + const struct ellswift_decode_test *testcase = &ellswift_decode_tests[i]; + secp256k1_pubkey pubkey; + secp256k1_ge ge; + int ret; + ret = secp256k1_ellswift_decode(CTX, &pubkey, testcase->enc); + CHECK(ret); + ret = secp256k1_pubkey_load(CTX, &ge, &pubkey); + CHECK(ret); + CHECK(fe_equal(&testcase->x, &ge.x)); + CHECK(secp256k1_fe_is_odd(&ge.y) == testcase->odd_y); + } + for (i = 0; (unsigned)i < sizeof(ellswift_xdh_tests_bip324) / sizeof(ellswift_xdh_tests_bip324[0]); ++i) { + const struct ellswift_xdh_test *test = &ellswift_xdh_tests_bip324[i]; + unsigned char shared_secret[32]; + int ret; + int party = !test->initiating; + const unsigned char* ell_a64 = party ? test->ellswift_theirs : test->ellswift_ours; + const unsigned char* ell_b64 = party ? test->ellswift_ours : test->ellswift_theirs; + ret = secp256k1_ellswift_xdh(CTX, shared_secret, + ell_a64, ell_b64, + test->priv_ours, + party, + secp256k1_ellswift_xdh_hash_function_bip324, + NULL); + CHECK(ret); + CHECK(secp256k1_memcmp_var(shared_secret, test->shared_secret, 32) == 0); + } + /* Verify that secp256k1_ellswift_encode + decode roundtrips. */ + for (i = 0; i < 1000 * COUNT; i++) { + unsigned char rnd32[32]; + unsigned char ell64[64]; + secp256k1_ge g, g2; + secp256k1_pubkey pubkey, pubkey2; + /* Generate random public key and random randomizer. */ + testutil_random_ge_test(&g); + secp256k1_pubkey_save(&pubkey, &g); + testrand256(rnd32); + /* Convert the public key to ElligatorSwift and back. */ + secp256k1_ellswift_encode(CTX, ell64, &pubkey, rnd32); + secp256k1_ellswift_decode(CTX, &pubkey2, ell64); + secp256k1_pubkey_load(CTX, &g2, &pubkey2); + /* Compare with original. */ + CHECK(secp256k1_ge_eq_var(&g, &g2)); + } + /* Verify the behavior of secp256k1_ellswift_create */ + for (i = 0; i < 400 * COUNT; i++) { + unsigned char auxrnd32[32], sec32[32]; + secp256k1_scalar sec; + secp256k1_gej res; + secp256k1_ge dec; + secp256k1_pubkey pub; + unsigned char ell64[64]; + int ret; + /* Generate random secret key and random randomizer. */ + if (i & 1) testrand256_test(auxrnd32); + testutil_random_scalar_order_test(&sec); + secp256k1_scalar_get_b32(sec32, &sec); + /* Construct ElligatorSwift-encoded public keys for that key. */ + ret = secp256k1_ellswift_create(CTX, ell64, sec32, (i & 1) ? auxrnd32 : NULL); + CHECK(ret); + /* Decode it, and compare with traditionally-computed public key. */ + secp256k1_ellswift_decode(CTX, &pub, ell64); + secp256k1_pubkey_load(CTX, &dec, &pub); + secp256k1_ecmult(&res, NULL, &secp256k1_scalar_zero, &sec); + CHECK(secp256k1_gej_eq_ge_var(&res, &dec)); + } + /* Verify that secp256k1_ellswift_xdh computes the right shared X coordinate. */ + for (i = 0; i < 800 * COUNT; i++) { + unsigned char ell64[64], sec32[32], share32[32]; + secp256k1_scalar sec; + secp256k1_ge dec, res; + secp256k1_fe share_x; + secp256k1_gej decj, resj; + secp256k1_pubkey pub; + int ret; + /* Generate random secret key. */ + testutil_random_scalar_order_test(&sec); + secp256k1_scalar_get_b32(sec32, &sec); + /* Generate random ElligatorSwift encoding for the remote key and decode it. */ + testrand256_test(ell64); + testrand256_test(ell64 + 32); + secp256k1_ellswift_decode(CTX, &pub, ell64); + secp256k1_pubkey_load(CTX, &dec, &pub); + secp256k1_gej_set_ge(&decj, &dec); + /* Compute the X coordinate of seckey*pubkey using ellswift_xdh. Note that we + * pass ell64 as claimed (but incorrect) encoding for sec32 here; this works + * because the "hasher" function we use here ignores the ell64 arguments. */ + ret = secp256k1_ellswift_xdh(CTX, share32, ell64, ell64, sec32, i & 1, &ellswift_xdh_hash_x32, NULL); + CHECK(ret); + (void)secp256k1_fe_set_b32_limit(&share_x, share32); /* no overflow is possible */ + SECP256K1_FE_VERIFY(&share_x); + /* Compute seckey*pubkey directly. */ + secp256k1_ecmult(&resj, &decj, &sec, NULL); + secp256k1_ge_set_gej(&res, &resj); + /* Compare. */ + CHECK(fe_equal(&res.x, &share_x)); + } + /* Verify the joint behavior of secp256k1_ellswift_xdh */ + for (i = 0; i < 200 * COUNT; i++) { + unsigned char auxrnd32a[32], auxrnd32b[32], auxrnd32a_bad[32], auxrnd32b_bad[32]; + unsigned char sec32a[32], sec32b[32], sec32a_bad[32], sec32b_bad[32]; + secp256k1_scalar seca, secb; + unsigned char ell64a[64], ell64b[64], ell64a_bad[64], ell64b_bad[64]; + unsigned char share32a[32], share32b[32], share32_bad[32]; + unsigned char prefix64[64]; + secp256k1_ellswift_xdh_hash_function hash_function; + void* data; + int ret; + + /* Pick hasher to use. */ + if ((i % 3) == 0) { + hash_function = ellswift_xdh_hash_x32; + data = NULL; + } else if ((i % 3) == 1) { + hash_function = secp256k1_ellswift_xdh_hash_function_bip324; + data = NULL; + } else { + hash_function = secp256k1_ellswift_xdh_hash_function_prefix; + testrand256_test(prefix64); + testrand256_test(prefix64 + 32); + data = prefix64; + } + + /* Generate random secret keys and random randomizers. */ + testrand256_test(auxrnd32a); + testrand256_test(auxrnd32b); + testutil_random_scalar_order_test(&seca); + /* Draw secb uniformly at random to make sure that the secret keys + * differ */ + testutil_random_scalar_order(&secb); + secp256k1_scalar_get_b32(sec32a, &seca); + secp256k1_scalar_get_b32(sec32b, &secb); + + /* Construct ElligatorSwift-encoded public keys for those keys. */ + /* For A: */ + ret = secp256k1_ellswift_create(CTX, ell64a, sec32a, auxrnd32a); + CHECK(ret); + /* For B: */ + ret = secp256k1_ellswift_create(CTX, ell64b, sec32b, auxrnd32b); + CHECK(ret); + + /* Compute the shared secret both ways and compare with each other. */ + /* For A: */ + ret = secp256k1_ellswift_xdh(CTX, share32a, ell64a, ell64b, sec32a, 0, hash_function, data); + CHECK(ret); + /* For B: */ + ret = secp256k1_ellswift_xdh(CTX, share32b, ell64a, ell64b, sec32b, 1, hash_function, data); + CHECK(ret); + /* And compare: */ + CHECK(secp256k1_memcmp_var(share32a, share32b, 32) == 0); + + /* Verify that the shared secret doesn't match if other side's public key is incorrect. */ + /* For A (using a bad public key for B): */ + memcpy(ell64b_bad, ell64b, sizeof(ell64a_bad)); + testrand_flip(ell64b_bad, sizeof(ell64b_bad)); + ret = secp256k1_ellswift_xdh(CTX, share32_bad, ell64a, ell64b_bad, sec32a, 0, hash_function, data); + CHECK(ret); /* Mismatching encodings don't get detected by secp256k1_ellswift_xdh. */ + CHECK(secp256k1_memcmp_var(share32_bad, share32a, 32) != 0); + /* For B (using a bad public key for A): */ + memcpy(ell64a_bad, ell64a, sizeof(ell64a_bad)); + testrand_flip(ell64a_bad, sizeof(ell64a_bad)); + ret = secp256k1_ellswift_xdh(CTX, share32_bad, ell64a_bad, ell64b, sec32b, 1, hash_function, data); + CHECK(ret); + CHECK(secp256k1_memcmp_var(share32_bad, share32b, 32) != 0); + + /* Verify that the shared secret doesn't match if the private key is incorrect. */ + /* For A: */ + memcpy(sec32a_bad, sec32a, sizeof(sec32a_bad)); + testrand_flip(sec32a_bad, sizeof(sec32a_bad)); + ret = secp256k1_ellswift_xdh(CTX, share32_bad, ell64a, ell64b, sec32a_bad, 0, hash_function, data); + CHECK(!ret || secp256k1_memcmp_var(share32_bad, share32a, 32) != 0); + /* For B: */ + memcpy(sec32b_bad, sec32b, sizeof(sec32b_bad)); + testrand_flip(sec32b_bad, sizeof(sec32b_bad)); + ret = secp256k1_ellswift_xdh(CTX, share32_bad, ell64a, ell64b, sec32b_bad, 1, hash_function, data); + CHECK(!ret || secp256k1_memcmp_var(share32_bad, share32b, 32) != 0); + + if (hash_function != ellswift_xdh_hash_x32) { + /* Verify that the shared secret doesn't match when a different encoding of the same public key is used. */ + /* For A (changing B's public key): */ + memcpy(auxrnd32b_bad, auxrnd32b, sizeof(auxrnd32b_bad)); + testrand_flip(auxrnd32b_bad, sizeof(auxrnd32b_bad)); + ret = secp256k1_ellswift_create(CTX, ell64b_bad, sec32b, auxrnd32b_bad); + CHECK(ret); + ret = secp256k1_ellswift_xdh(CTX, share32_bad, ell64a, ell64b_bad, sec32a, 0, hash_function, data); + CHECK(ret); + CHECK(secp256k1_memcmp_var(share32_bad, share32a, 32) != 0); + /* For B (changing A's public key): */ + memcpy(auxrnd32a_bad, auxrnd32a, sizeof(auxrnd32a_bad)); + testrand_flip(auxrnd32a_bad, sizeof(auxrnd32a_bad)); + ret = secp256k1_ellswift_create(CTX, ell64a_bad, sec32a, auxrnd32a_bad); + CHECK(ret); + ret = secp256k1_ellswift_xdh(CTX, share32_bad, ell64a_bad, ell64b, sec32b, 1, hash_function, data); + CHECK(ret); + CHECK(secp256k1_memcmp_var(share32_bad, share32b, 32) != 0); + + /* Verify that swapping sides changes the shared secret. */ + /* For A (claiming to be B): */ + ret = secp256k1_ellswift_xdh(CTX, share32_bad, ell64a, ell64b, sec32a, 1, hash_function, data); + CHECK(ret); + CHECK(secp256k1_memcmp_var(share32_bad, share32a, 32) != 0); + /* For B (claiming to be A): */ + ret = secp256k1_ellswift_xdh(CTX, share32_bad, ell64a, ell64b, sec32b, 0, hash_function, data); + CHECK(ret); + CHECK(secp256k1_memcmp_var(share32_bad, share32b, 32) != 0); + } + } + + /* Test hash initializers. */ + { + secp256k1_sha256 sha_optimized; + /* "secp256k1_ellswift_encode" */ + static const unsigned char encode_tag[] = {'s', 'e', 'c', 'p', '2', '5', '6', 'k', '1', '_', 'e', 'l', 'l', 's', 'w', 'i', 'f', 't', '_', 'e', 'n', 'c', 'o', 'd', 'e'}; + /* "secp256k1_ellswift_create" */ + static const unsigned char create_tag[] = {'s', 'e', 'c', 'p', '2', '5', '6', 'k', '1', '_', 'e', 'l', 'l', 's', 'w', 'i', 'f', 't', '_', 'c', 'r', 'e', 'a', 't', 'e'}; + /* "bip324_ellswift_xonly_ecdh" */ + static const unsigned char bip324_tag[] = {'b', 'i', 'p', '3', '2', '4', '_', 'e', 'l', 'l', 's', 'w', 'i', 'f', 't', '_', 'x', 'o', 'n', 'l', 'y', '_', 'e', 'c', 'd', 'h'}; + + /* Check that hash initialized by + * secp256k1_ellswift_sha256_init_encode has the expected + * state. */ + secp256k1_ellswift_sha256_init_encode(&sha_optimized); + test_sha256_tag_midstate(&sha_optimized, encode_tag, sizeof(encode_tag)); + + /* Check that hash initialized by + * secp256k1_ellswift_sha256_init_create has the expected + * state. */ + secp256k1_ellswift_sha256_init_create(&sha_optimized); + test_sha256_tag_midstate(&sha_optimized, create_tag, sizeof(create_tag)); + + /* Check that hash initialized by + * secp256k1_ellswift_sha256_init_bip324 has the expected + * state. */ + secp256k1_ellswift_sha256_init_bip324(&sha_optimized); + test_sha256_tag_midstate(&sha_optimized, bip324_tag, sizeof(bip324_tag)); + } +} + +/* --- Test registry --- */ +/* TODO: subdivide test in cases */ +static const struct tf_test_entry tests_ellswift[] = { + CASE(ellswift_tests), +}; + +#endif diff --git a/src/modules/extrakeys/main_impl.h b/src/modules/extrakeys/main_impl.h index e1003052f4..0c7e266777 100644 --- a/src/modules/extrakeys/main_impl.h +++ b/src/modules/extrakeys/main_impl.h @@ -9,6 +9,7 @@ #include "../../../include/secp256k1.h" #include "../../../include/secp256k1_extrakeys.h" +#include "../../util.h" static SECP256K1_INLINE int secp256k1_xonly_pubkey_load(const secp256k1_context* ctx, secp256k1_ge *ge, const secp256k1_xonly_pubkey *pubkey) { return secp256k1_pubkey_load(ctx, ge, (const secp256k1_pubkey *) pubkey); @@ -27,7 +28,7 @@ int secp256k1_xonly_pubkey_parse(const secp256k1_context* ctx, secp256k1_xonly_p memset(pubkey, 0, sizeof(*pubkey)); ARG_CHECK(input32 != NULL); - if (!secp256k1_fe_set_b32(&x, input32)) { + if (!secp256k1_fe_set_b32_limit(&x, input32)) { return 0; } if (!secp256k1_ge_set_xo_var(&pk, &x, 0)) { diff --git a/src/modules/extrakeys/tests_exhaustive_impl.h b/src/modules/extrakeys/tests_exhaustive_impl.h index 5ecc90d50f..645bae2d47 100644 --- a/src/modules/extrakeys/tests_exhaustive_impl.h +++ b/src/modules/extrakeys/tests_exhaustive_impl.h @@ -47,8 +47,8 @@ static void test_exhaustive_extrakeys(const secp256k1_context *ctx, const secp25 CHECK(secp256k1_memcmp_var(xonly_pubkey_bytes[i - 1], buf, 32) == 0); /* Compare the xonly_pubkey bytes against the precomputed group. */ - secp256k1_fe_set_b32(&fe, xonly_pubkey_bytes[i - 1]); - CHECK(secp256k1_fe_equal_var(&fe, &group[i].x)); + secp256k1_fe_set_b32_mod(&fe, xonly_pubkey_bytes[i - 1]); + CHECK(secp256k1_fe_equal(&fe, &group[i].x)); /* Check the parity against the precomputed group. */ fe = group[i].y; diff --git a/src/modules/extrakeys/tests_impl.h b/src/modules/extrakeys/tests_impl.h index ae1655923b..abebd1106b 100644 --- a/src/modules/extrakeys/tests_impl.h +++ b/src/modules/extrakeys/tests_impl.h @@ -8,11 +8,7 @@ #define SECP256K1_MODULE_EXTRAKEYS_TESTS_H #include "../../../include/secp256k1_extrakeys.h" - -static void set_counting_callbacks(secp256k1_context *ctx0, int *ecount) { - secp256k1_context_set_error_callback(ctx0, counting_illegal_callback_fn, ecount); - secp256k1_context_set_illegal_callback(ctx0, counting_illegal_callback_fn, ecount); -} +#include "../../unit_test.h" static void test_xonly_pubkey(void) { secp256k1_pubkey pk; @@ -28,27 +24,19 @@ static void test_xonly_pubkey(void) { int pk_parity; int i; - int ecount; - - set_counting_callbacks(CTX, &ecount); - - secp256k1_testrand256(sk); + testrand256(sk); memset(ones32, 0xFF, 32); - secp256k1_testrand256(xy_sk); + testrand256(xy_sk); CHECK(secp256k1_ec_pubkey_create(CTX, &pk, sk) == 1); CHECK(secp256k1_xonly_pubkey_from_pubkey(CTX, &xonly_pk, &pk_parity, &pk) == 1); /* Test xonly_pubkey_from_pubkey */ - ecount = 0; CHECK(secp256k1_xonly_pubkey_from_pubkey(CTX, &xonly_pk, &pk_parity, &pk) == 1); - CHECK(secp256k1_xonly_pubkey_from_pubkey(CTX, NULL, &pk_parity, &pk) == 0); - CHECK(ecount == 1); + CHECK_ILLEGAL(CTX, secp256k1_xonly_pubkey_from_pubkey(CTX, NULL, &pk_parity, &pk)); CHECK(secp256k1_xonly_pubkey_from_pubkey(CTX, &xonly_pk, NULL, &pk) == 1); - CHECK(secp256k1_xonly_pubkey_from_pubkey(CTX, &xonly_pk, &pk_parity, NULL) == 0); - CHECK(ecount == 2); + CHECK_ILLEGAL(CTX, secp256k1_xonly_pubkey_from_pubkey(CTX, &xonly_pk, &pk_parity, NULL)); memset(&pk, 0, sizeof(pk)); - CHECK(secp256k1_xonly_pubkey_from_pubkey(CTX, &xonly_pk, &pk_parity, &pk) == 0); - CHECK(ecount == 3); + CHECK_ILLEGAL(CTX, secp256k1_xonly_pubkey_from_pubkey(CTX, &xonly_pk, &pk_parity, &pk)); /* Choose a secret key such that the resulting pubkey and xonly_pubkey match. */ memset(sk, 0, sizeof(sk)); @@ -72,28 +60,21 @@ static void test_xonly_pubkey(void) { CHECK(secp256k1_fe_equal(&pk1.y, &y) == 1); /* Test xonly_pubkey_serialize and xonly_pubkey_parse */ - ecount = 0; - CHECK(secp256k1_xonly_pubkey_serialize(CTX, NULL, &xonly_pk) == 0); - CHECK(ecount == 1); - CHECK(secp256k1_xonly_pubkey_serialize(CTX, buf32, NULL) == 0); + CHECK_ILLEGAL(CTX, secp256k1_xonly_pubkey_serialize(CTX, NULL, &xonly_pk)); + CHECK_ILLEGAL(CTX, secp256k1_xonly_pubkey_serialize(CTX, buf32, NULL)); CHECK(secp256k1_memcmp_var(buf32, zeros64, 32) == 0); - CHECK(ecount == 2); { /* A pubkey filled with 0s will fail to serialize due to pubkey_load * special casing. */ secp256k1_xonly_pubkey pk_tmp; memset(&pk_tmp, 0, sizeof(pk_tmp)); - CHECK(secp256k1_xonly_pubkey_serialize(CTX, buf32, &pk_tmp) == 0); + /* pubkey_load calls illegal callback */ + CHECK_ILLEGAL(CTX, secp256k1_xonly_pubkey_serialize(CTX, buf32, &pk_tmp)); } - /* pubkey_load called illegal callback */ - CHECK(ecount == 3); CHECK(secp256k1_xonly_pubkey_serialize(CTX, buf32, &xonly_pk) == 1); - ecount = 0; - CHECK(secp256k1_xonly_pubkey_parse(CTX, NULL, buf32) == 0); - CHECK(ecount == 1); - CHECK(secp256k1_xonly_pubkey_parse(CTX, &xonly_pk, NULL) == 0); - CHECK(ecount == 2); + CHECK_ILLEGAL(CTX, secp256k1_xonly_pubkey_parse(CTX, NULL, buf32)); + CHECK_ILLEGAL(CTX, secp256k1_xonly_pubkey_parse(CTX, &xonly_pk, NULL)); /* Serialization and parse roundtrip */ CHECK(secp256k1_xonly_pubkey_from_pubkey(CTX, &xonly_pk, NULL, &pk) == 1); @@ -115,7 +96,7 @@ static void test_xonly_pubkey(void) { * the curve) then xonly_pubkey_parse should fail as well. */ for (i = 0; i < COUNT; i++) { unsigned char rand33[33]; - secp256k1_testrand256(&rand33[1]); + testrand256(&rand33[1]); rand33[0] = SECP256K1_TAG_PUBKEY_EVEN; if (!secp256k1_ec_pubkey_parse(CTX, &pk, rand33, 33)) { memset(&xonly_pk, 1, sizeof(xonly_pk)); @@ -125,7 +106,6 @@ static void test_xonly_pubkey(void) { CHECK(secp256k1_xonly_pubkey_parse(CTX, &xonly_pk, &rand33[1]) == 1); } } - CHECK(ecount == 2); } static void test_xonly_pubkey_comparison(void) { @@ -139,29 +119,26 @@ static void test_xonly_pubkey_comparison(void) { }; secp256k1_xonly_pubkey pk1; secp256k1_xonly_pubkey pk2; - int ecount = 0; - - set_counting_callbacks(CTX, &ecount); CHECK(secp256k1_xonly_pubkey_parse(CTX, &pk1, pk1_ser) == 1); CHECK(secp256k1_xonly_pubkey_parse(CTX, &pk2, pk2_ser) == 1); - CHECK(secp256k1_xonly_pubkey_cmp(CTX, NULL, &pk2) < 0); - CHECK(ecount == 1); - CHECK(secp256k1_xonly_pubkey_cmp(CTX, &pk1, NULL) > 0); - CHECK(ecount == 2); + CHECK_ILLEGAL_VOID(CTX, CHECK(secp256k1_xonly_pubkey_cmp(CTX, NULL, &pk2) < 0)); + CHECK_ILLEGAL_VOID(CTX, CHECK(secp256k1_xonly_pubkey_cmp(CTX, &pk1, NULL) > 0)); CHECK(secp256k1_xonly_pubkey_cmp(CTX, &pk1, &pk2) < 0); CHECK(secp256k1_xonly_pubkey_cmp(CTX, &pk2, &pk1) > 0); CHECK(secp256k1_xonly_pubkey_cmp(CTX, &pk1, &pk1) == 0); CHECK(secp256k1_xonly_pubkey_cmp(CTX, &pk2, &pk2) == 0); - CHECK(ecount == 2); memset(&pk1, 0, sizeof(pk1)); /* illegal pubkey */ - CHECK(secp256k1_xonly_pubkey_cmp(CTX, &pk1, &pk2) < 0); - CHECK(ecount == 3); - CHECK(secp256k1_xonly_pubkey_cmp(CTX, &pk1, &pk1) == 0); - CHECK(ecount == 5); - CHECK(secp256k1_xonly_pubkey_cmp(CTX, &pk2, &pk1) > 0); - CHECK(ecount == 6); + CHECK_ILLEGAL_VOID(CTX, CHECK(secp256k1_xonly_pubkey_cmp(CTX, &pk1, &pk2) < 0)); + { + int32_t ecount = 0; + secp256k1_context_set_illegal_callback(CTX, counting_callback_fn, &ecount); + CHECK(secp256k1_xonly_pubkey_cmp(CTX, &pk1, &pk1) == 0); + CHECK(ecount == 2); + secp256k1_context_set_illegal_callback(CTX, NULL, NULL); + } + CHECK_ILLEGAL_VOID(CTX, CHECK(secp256k1_xonly_pubkey_cmp(CTX, &pk2, &pk1) > 0)); } static void test_xonly_pubkey_tweak(void) { @@ -175,30 +152,20 @@ static void test_xonly_pubkey_tweak(void) { unsigned char tweak[32]; int i; - int ecount; - - set_counting_callbacks(CTX, &ecount); - memset(overflows, 0xff, sizeof(overflows)); - secp256k1_testrand256(tweak); - secp256k1_testrand256(sk); + testrand256(tweak); + testrand256(sk); CHECK(secp256k1_ec_pubkey_create(CTX, &internal_pk, sk) == 1); CHECK(secp256k1_xonly_pubkey_from_pubkey(CTX, &internal_xonly_pk, &pk_parity, &internal_pk) == 1); - ecount = 0; CHECK(secp256k1_xonly_pubkey_tweak_add(CTX, &output_pk, &internal_xonly_pk, tweak) == 1); - CHECK(ecount == 0); CHECK(secp256k1_xonly_pubkey_tweak_add(CTX, &output_pk, &internal_xonly_pk, tweak) == 1); - CHECK(ecount == 0); CHECK(secp256k1_xonly_pubkey_tweak_add(CTX, &output_pk, &internal_xonly_pk, tweak) == 1); - CHECK(secp256k1_xonly_pubkey_tweak_add(CTX, NULL, &internal_xonly_pk, tweak) == 0); - CHECK(ecount == 1); - CHECK(secp256k1_xonly_pubkey_tweak_add(CTX, &output_pk, NULL, tweak) == 0); - CHECK(ecount == 2); + CHECK_ILLEGAL(CTX, secp256k1_xonly_pubkey_tweak_add(CTX, NULL, &internal_xonly_pk, tweak)); + CHECK_ILLEGAL(CTX, secp256k1_xonly_pubkey_tweak_add(CTX, &output_pk, NULL, tweak)); /* NULL internal_xonly_pk zeroes the output_pk */ CHECK(secp256k1_memcmp_var(&output_pk, zeros64, sizeof(output_pk)) == 0); - CHECK(secp256k1_xonly_pubkey_tweak_add(CTX, &output_pk, &internal_xonly_pk, NULL) == 0); - CHECK(ecount == 3); + CHECK_ILLEGAL(CTX, secp256k1_xonly_pubkey_tweak_add(CTX, &output_pk, &internal_xonly_pk, NULL)); /* NULL tweak zeroes the output_pk */ CHECK(secp256k1_memcmp_var(&output_pk, zeros64, sizeof(output_pk)) == 0); @@ -224,10 +191,8 @@ static void test_xonly_pubkey_tweak(void) { /* Invalid pk with a valid tweak */ memset(&internal_xonly_pk, 0, sizeof(internal_xonly_pk)); - secp256k1_testrand256(tweak); - ecount = 0; - CHECK(secp256k1_xonly_pubkey_tweak_add(CTX, &output_pk, &internal_xonly_pk, tweak) == 0); - CHECK(ecount == 1); + testrand256(tweak); + CHECK_ILLEGAL(CTX, secp256k1_xonly_pubkey_tweak_add(CTX, &output_pk, &internal_xonly_pk, tweak)); CHECK(secp256k1_memcmp_var(&output_pk, zeros64, sizeof(output_pk)) == 0); } @@ -244,34 +209,23 @@ static void test_xonly_pubkey_tweak_check(void) { int pk_parity; unsigned char tweak[32]; - int ecount; - - set_counting_callbacks(CTX, &ecount); - memset(overflows, 0xff, sizeof(overflows)); - secp256k1_testrand256(tweak); - secp256k1_testrand256(sk); + testrand256(tweak); + testrand256(sk); CHECK(secp256k1_ec_pubkey_create(CTX, &internal_pk, sk) == 1); CHECK(secp256k1_xonly_pubkey_from_pubkey(CTX, &internal_xonly_pk, &pk_parity, &internal_pk) == 1); - ecount = 0; CHECK(secp256k1_xonly_pubkey_tweak_add(CTX, &output_pk, &internal_xonly_pk, tweak) == 1); CHECK(secp256k1_xonly_pubkey_from_pubkey(CTX, &output_xonly_pk, &pk_parity, &output_pk) == 1); CHECK(secp256k1_xonly_pubkey_serialize(CTX, buf32, &output_xonly_pk) == 1); CHECK(secp256k1_xonly_pubkey_tweak_add_check(CTX, buf32, pk_parity, &internal_xonly_pk, tweak) == 1); - CHECK(ecount == 0); CHECK(secp256k1_xonly_pubkey_tweak_add_check(CTX, buf32, pk_parity, &internal_xonly_pk, tweak) == 1); - CHECK(ecount == 0); CHECK(secp256k1_xonly_pubkey_tweak_add_check(CTX, buf32, pk_parity, &internal_xonly_pk, tweak) == 1); - CHECK(secp256k1_xonly_pubkey_tweak_add_check(CTX, NULL, pk_parity, &internal_xonly_pk, tweak) == 0); - CHECK(ecount == 1); + CHECK_ILLEGAL(CTX, secp256k1_xonly_pubkey_tweak_add_check(CTX, NULL, pk_parity, &internal_xonly_pk, tweak)); /* invalid pk_parity value */ CHECK(secp256k1_xonly_pubkey_tweak_add_check(CTX, buf32, 2, &internal_xonly_pk, tweak) == 0); - CHECK(ecount == 1); - CHECK(secp256k1_xonly_pubkey_tweak_add_check(CTX, buf32, pk_parity, NULL, tweak) == 0); - CHECK(ecount == 2); - CHECK(secp256k1_xonly_pubkey_tweak_add_check(CTX, buf32, pk_parity, &internal_xonly_pk, NULL) == 0); - CHECK(ecount == 3); + CHECK_ILLEGAL(CTX, secp256k1_xonly_pubkey_tweak_add_check(CTX, buf32, pk_parity, NULL, tweak)); + CHECK_ILLEGAL(CTX, secp256k1_xonly_pubkey_tweak_add_check(CTX, buf32, pk_parity, &internal_xonly_pk, NULL)); memset(tweak, 1, sizeof(tweak)); CHECK(secp256k1_xonly_pubkey_from_pubkey(CTX, &internal_xonly_pk, NULL, &internal_pk) == 1); @@ -290,7 +244,6 @@ static void test_xonly_pubkey_tweak_check(void) { CHECK(secp256k1_xonly_pubkey_tweak_add_check(CTX, output_pk32, pk_parity, &internal_xonly_pk, overflows) == 0); CHECK(secp256k1_xonly_pubkey_tweak_add(CTX, &output_pk, &internal_xonly_pk, overflows) == 0); CHECK(secp256k1_memcmp_var(&output_pk, zeros64, sizeof(output_pk)) == 0); - CHECK(ecount == 3); } /* Starts with an initial pubkey and recursively creates N_PUBKEYS - 1 @@ -304,7 +257,7 @@ static void test_xonly_pubkey_tweak_recursive(void) { unsigned char tweak[N_PUBKEYS - 1][32]; int i; - secp256k1_testrand256(sk); + testrand256(sk); CHECK(secp256k1_ec_pubkey_create(CTX, &pk[0], sk) == 1); /* Add tweaks */ for (i = 0; i < N_PUBKEYS - 1; i++) { @@ -335,33 +288,22 @@ static void test_keypair(void) { secp256k1_pubkey pk, pk_tmp; secp256k1_xonly_pubkey xonly_pk, xonly_pk_tmp; int pk_parity, pk_parity_tmp; - int ecount; - - set_counting_callbacks(CTX, &ecount); - set_counting_callbacks(STATIC_CTX, &ecount); CHECK(sizeof(zeros96) == sizeof(keypair)); memset(overflows, 0xFF, sizeof(overflows)); /* Test keypair_create */ - ecount = 0; - secp256k1_testrand256(sk); + testrand256(sk); CHECK(secp256k1_keypair_create(CTX, &keypair, sk) == 1); CHECK(secp256k1_memcmp_var(zeros96, &keypair, sizeof(keypair)) != 0); - CHECK(ecount == 0); CHECK(secp256k1_keypair_create(CTX, &keypair, sk) == 1); CHECK(secp256k1_memcmp_var(zeros96, &keypair, sizeof(keypair)) != 0); - CHECK(ecount == 0); - CHECK(secp256k1_keypair_create(CTX, NULL, sk) == 0); - CHECK(ecount == 1); - CHECK(secp256k1_keypair_create(CTX, &keypair, NULL) == 0); + CHECK_ILLEGAL(CTX, secp256k1_keypair_create(CTX, NULL, sk)); + CHECK_ILLEGAL(CTX, secp256k1_keypair_create(CTX, &keypair, NULL)); CHECK(secp256k1_memcmp_var(zeros96, &keypair, sizeof(keypair)) == 0); - CHECK(ecount == 2); CHECK(secp256k1_keypair_create(CTX, &keypair, sk) == 1); - CHECK(ecount == 2); - CHECK(secp256k1_keypair_create(STATIC_CTX, &keypair, sk) == 0); + CHECK_ILLEGAL(STATIC_CTX, secp256k1_keypair_create(STATIC_CTX, &keypair, sk)); CHECK(secp256k1_memcmp_var(zeros96, &keypair, sizeof(keypair)) == 0); - CHECK(ecount == 3); /* Invalid secret key */ CHECK(secp256k1_keypair_create(CTX, &keypair, zeros96) == 0); @@ -370,14 +312,11 @@ static void test_keypair(void) { CHECK(secp256k1_memcmp_var(zeros96, &keypair, sizeof(keypair)) == 0); /* Test keypair_pub */ - ecount = 0; - secp256k1_testrand256(sk); + testrand256(sk); CHECK(secp256k1_keypair_create(CTX, &keypair, sk) == 1); CHECK(secp256k1_keypair_pub(CTX, &pk, &keypair) == 1); - CHECK(secp256k1_keypair_pub(CTX, NULL, &keypair) == 0); - CHECK(ecount == 1); - CHECK(secp256k1_keypair_pub(CTX, &pk, NULL) == 0); - CHECK(ecount == 2); + CHECK_ILLEGAL(CTX, secp256k1_keypair_pub(CTX, NULL, &keypair)); + CHECK_ILLEGAL(CTX, secp256k1_keypair_pub(CTX, &pk, NULL)); CHECK(secp256k1_memcmp_var(zeros96, &pk, sizeof(pk)) == 0); /* Using an invalid keypair is fine for keypair_pub */ @@ -392,23 +331,19 @@ static void test_keypair(void) { CHECK(secp256k1_memcmp_var(&pk, &pk_tmp, sizeof(pk)) == 0); /** Test keypair_xonly_pub **/ - ecount = 0; - secp256k1_testrand256(sk); + testrand256(sk); CHECK(secp256k1_keypair_create(CTX, &keypair, sk) == 1); CHECK(secp256k1_keypair_xonly_pub(CTX, &xonly_pk, &pk_parity, &keypair) == 1); - CHECK(secp256k1_keypair_xonly_pub(CTX, NULL, &pk_parity, &keypair) == 0); - CHECK(ecount == 1); + CHECK_ILLEGAL(CTX, secp256k1_keypair_xonly_pub(CTX, NULL, &pk_parity, &keypair)); CHECK(secp256k1_keypair_xonly_pub(CTX, &xonly_pk, NULL, &keypair) == 1); - CHECK(secp256k1_keypair_xonly_pub(CTX, &xonly_pk, &pk_parity, NULL) == 0); - CHECK(ecount == 2); + CHECK_ILLEGAL(CTX, secp256k1_keypair_xonly_pub(CTX, &xonly_pk, &pk_parity, NULL)); CHECK(secp256k1_memcmp_var(zeros96, &xonly_pk, sizeof(xonly_pk)) == 0); /* Using an invalid keypair will set the xonly_pk to 0 (first reset * xonly_pk). */ CHECK(secp256k1_keypair_xonly_pub(CTX, &xonly_pk, &pk_parity, &keypair) == 1); memset(&keypair, 0, sizeof(keypair)); - CHECK(secp256k1_keypair_xonly_pub(CTX, &xonly_pk, &pk_parity, &keypair) == 0); + CHECK_ILLEGAL(CTX, secp256k1_keypair_xonly_pub(CTX, &xonly_pk, &pk_parity, &keypair)); CHECK(secp256k1_memcmp_var(zeros96, &xonly_pk, sizeof(xonly_pk)) == 0); - CHECK(ecount == 3); /** keypair holds the same xonly pubkey as pubkey_create **/ CHECK(secp256k1_ec_pubkey_create(CTX, &pk, sk) == 1); @@ -419,14 +354,11 @@ static void test_keypair(void) { CHECK(pk_parity == pk_parity_tmp); /* Test keypair_seckey */ - ecount = 0; - secp256k1_testrand256(sk); + testrand256(sk); CHECK(secp256k1_keypair_create(CTX, &keypair, sk) == 1); CHECK(secp256k1_keypair_sec(CTX, sk_tmp, &keypair) == 1); - CHECK(secp256k1_keypair_sec(CTX, NULL, &keypair) == 0); - CHECK(ecount == 1); - CHECK(secp256k1_keypair_sec(CTX, sk_tmp, NULL) == 0); - CHECK(ecount == 2); + CHECK_ILLEGAL(CTX, secp256k1_keypair_sec(CTX, NULL, &keypair)); + CHECK_ILLEGAL(CTX, secp256k1_keypair_sec(CTX, sk_tmp, NULL)); CHECK(secp256k1_memcmp_var(zeros96, sk_tmp, sizeof(sk_tmp)) == 0); /* keypair returns the same seckey it got */ @@ -439,9 +371,6 @@ static void test_keypair(void) { memset(&keypair, 0, sizeof(keypair)); CHECK(secp256k1_keypair_sec(CTX, sk_tmp, &keypair) == 1); CHECK(secp256k1_memcmp_var(zeros96, sk_tmp, sizeof(sk_tmp)) == 0); - - secp256k1_context_set_error_callback(STATIC_CTX, NULL, NULL); - secp256k1_context_set_illegal_callback(STATIC_CTX, NULL, NULL); } static void test_keypair_add(void) { @@ -451,25 +380,18 @@ static void test_keypair_add(void) { unsigned char zeros96[96] = { 0 }; unsigned char tweak[32]; int i; - int ecount = 0; - - set_counting_callbacks(CTX, &ecount); CHECK(sizeof(zeros96) == sizeof(keypair)); - secp256k1_testrand256(sk); - secp256k1_testrand256(tweak); + testrand256(sk); + testrand256(tweak); memset(overflows, 0xFF, 32); CHECK(secp256k1_keypair_create(CTX, &keypair, sk) == 1); CHECK(secp256k1_keypair_xonly_tweak_add(CTX, &keypair, tweak) == 1); - CHECK(ecount == 0); CHECK(secp256k1_keypair_xonly_tweak_add(CTX, &keypair, tweak) == 1); - CHECK(ecount == 0); CHECK(secp256k1_keypair_xonly_tweak_add(CTX, &keypair, tweak) == 1); - CHECK(secp256k1_keypair_xonly_tweak_add(CTX, NULL, tweak) == 0); - CHECK(ecount == 1); - CHECK(secp256k1_keypair_xonly_tweak_add(CTX, &keypair, NULL) == 0); - CHECK(ecount == 2); + CHECK_ILLEGAL(CTX, secp256k1_keypair_xonly_tweak_add(CTX, NULL, tweak)); + CHECK_ILLEGAL(CTX, secp256k1_keypair_xonly_tweak_add(CTX, &keypair, NULL)); /* This does not set the keypair to zeroes */ CHECK(secp256k1_memcmp_var(&keypair, zeros96, sizeof(keypair)) != 0); @@ -486,7 +408,7 @@ static void test_keypair_add(void) { for (i = 0; i < COUNT; i++) { secp256k1_scalar scalar_tweak; secp256k1_keypair keypair_tmp; - secp256k1_testrand256(sk); + testrand256(sk); CHECK(secp256k1_keypair_create(CTX, &keypair, sk) == 1); memcpy(&keypair_tmp, &keypair, sizeof(keypair)); /* Because sk may be negated before adding, we need to try with tweak = @@ -502,21 +424,17 @@ static void test_keypair_add(void) { /* Invalid keypair with a valid tweak */ memset(&keypair, 0, sizeof(keypair)); - secp256k1_testrand256(tweak); - ecount = 0; - CHECK(secp256k1_keypair_xonly_tweak_add(CTX, &keypair, tweak) == 0); - CHECK(ecount == 1); + testrand256(tweak); + CHECK_ILLEGAL(CTX, secp256k1_keypair_xonly_tweak_add(CTX, &keypair, tweak)); CHECK(secp256k1_memcmp_var(&keypair, zeros96, sizeof(keypair)) == 0); /* Only seckey part of keypair invalid */ CHECK(secp256k1_keypair_create(CTX, &keypair, sk) == 1); memset(&keypair, 0, 32); - CHECK(secp256k1_keypair_xonly_tweak_add(CTX, &keypair, tweak) == 0); - CHECK(ecount == 2); + CHECK_ILLEGAL(CTX, secp256k1_keypair_xonly_tweak_add(CTX, &keypair, tweak)); /* Only pubkey part of keypair invalid */ CHECK(secp256k1_keypair_create(CTX, &keypair, sk) == 1); memset(&keypair.data[32], 0, 64); - CHECK(secp256k1_keypair_xonly_tweak_add(CTX, &keypair, tweak) == 0); - CHECK(ecount == 3); + CHECK_ILLEGAL(CTX, secp256k1_keypair_xonly_tweak_add(CTX, &keypair, tweak)); /* Check that the keypair_tweak_add implementation is correct */ CHECK(secp256k1_keypair_create(CTX, &keypair, sk) == 1); @@ -529,7 +447,7 @@ static void test_keypair_add(void) { unsigned char sk32[32]; int pk_parity; - secp256k1_testrand256(tweak); + testrand256(tweak); CHECK(secp256k1_keypair_xonly_pub(CTX, &internal_pk, NULL, &keypair) == 1); CHECK(secp256k1_keypair_xonly_tweak_add(CTX, &keypair, tweak) == 1); CHECK(secp256k1_keypair_xonly_pub(CTX, &output_pk, &pk_parity, &keypair) == 1); @@ -550,17 +468,17 @@ static void test_keypair_add(void) { } } -static void run_extrakeys_tests(void) { +/* --- Test registry --- */ +static const struct tf_test_entry tests_extrakeys[] = { /* xonly key test cases */ - test_xonly_pubkey(); - test_xonly_pubkey_tweak(); - test_xonly_pubkey_tweak_check(); - test_xonly_pubkey_tweak_recursive(); - test_xonly_pubkey_comparison(); - + CASE1(test_xonly_pubkey), + CASE1(test_xonly_pubkey_tweak), + CASE1(test_xonly_pubkey_tweak_check), + CASE1(test_xonly_pubkey_tweak_recursive), + CASE1(test_xonly_pubkey_comparison), /* keypair tests */ - test_keypair(); - test_keypair_add(); -} + CASE1(test_keypair), + CASE1(test_keypair_add), +}; #endif diff --git a/src/modules/musig/Makefile.am.include b/src/modules/musig/Makefile.am.include new file mode 100644 index 0000000000..796443c93b --- /dev/null +++ b/src/modules/musig/Makefile.am.include @@ -0,0 +1,8 @@ +include_HEADERS += include/secp256k1_musig.h +noinst_HEADERS += src/modules/musig/main_impl.h +noinst_HEADERS += src/modules/musig/keyagg.h +noinst_HEADERS += src/modules/musig/keyagg_impl.h +noinst_HEADERS += src/modules/musig/session.h +noinst_HEADERS += src/modules/musig/session_impl.h +noinst_HEADERS += src/modules/musig/tests_impl.h +noinst_HEADERS += src/modules/musig/vectors.h diff --git a/src/modules/musig/keyagg.h b/src/modules/musig/keyagg.h new file mode 100644 index 0000000000..a0b37252f8 --- /dev/null +++ b/src/modules/musig/keyagg.h @@ -0,0 +1,32 @@ +/*********************************************************************** + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ + +#ifndef SECP256K1_MODULE_MUSIG_KEYAGG_H +#define SECP256K1_MODULE_MUSIG_KEYAGG_H + +#include "../../../include/secp256k1.h" +#include "../../../include/secp256k1_musig.h" + +#include "../../group.h" +#include "../../scalar.h" + +typedef struct { + secp256k1_ge pk; + /* If there is no "second" public key, second_pk is set to the point at + * infinity */ + secp256k1_ge second_pk; + unsigned char pks_hash[32]; + /* tweak is identical to value tacc[v] in the specification. */ + secp256k1_scalar tweak; + /* parity_acc corresponds to (1 - gacc[v])/2 in the spec. So if gacc[v] is + * -1, parity_acc is 1. Otherwise, parity_acc is 0. */ + int parity_acc; +} secp256k1_keyagg_cache_internal; + +static int secp256k1_keyagg_cache_load(const secp256k1_context* ctx, secp256k1_keyagg_cache_internal *cache_i, const secp256k1_musig_keyagg_cache *cache); + +static void secp256k1_musig_keyaggcoef(secp256k1_scalar *r, const secp256k1_keyagg_cache_internal *cache_i, secp256k1_ge *pk); + +#endif diff --git a/src/modules/musig/keyagg_impl.h b/src/modules/musig/keyagg_impl.h new file mode 100644 index 0000000000..e412a27eca --- /dev/null +++ b/src/modules/musig/keyagg_impl.h @@ -0,0 +1,287 @@ +/*********************************************************************** + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ + +#ifndef SECP256K1_MODULE_MUSIG_KEYAGG_IMPL_H +#define SECP256K1_MODULE_MUSIG_KEYAGG_IMPL_H + +#include + +#include "keyagg.h" +#include "../../eckey.h" +#include "../../ecmult.h" +#include "../../field.h" +#include "../../group.h" +#include "../../hash.h" +#include "../../util.h" + +static const unsigned char secp256k1_musig_keyagg_cache_magic[4] = { 0xf4, 0xad, 0xbb, 0xdf }; + +/* A keyagg cache consists of + * - 4 byte magic set during initialization to allow detecting an uninitialized + * object. + * - 64 byte aggregate (and potentially tweaked) public key + * - 64 byte "second" public key (set to the point at infinity if not present) + * - 32 byte hash of all public keys + * - 1 byte the parity of the internal key (if tweaked, otherwise 0) + * - 32 byte tweak + */ +/* Requires that cache_i->pk is not infinity. */ +static void secp256k1_keyagg_cache_save(secp256k1_musig_keyagg_cache *cache, const secp256k1_keyagg_cache_internal *cache_i) { + unsigned char *ptr = cache->data; + memcpy(ptr, secp256k1_musig_keyagg_cache_magic, 4); + ptr += 4; + secp256k1_ge_to_bytes(ptr, &cache_i->pk); + ptr += 64; + secp256k1_ge_to_bytes_ext(ptr, &cache_i->second_pk); + ptr += 64; + memcpy(ptr, cache_i->pks_hash, 32); + ptr += 32; + *ptr = cache_i->parity_acc; + ptr += 1; + secp256k1_scalar_get_b32(ptr, &cache_i->tweak); +} + +static int secp256k1_keyagg_cache_load(const secp256k1_context* ctx, secp256k1_keyagg_cache_internal *cache_i, const secp256k1_musig_keyagg_cache *cache) { + const unsigned char *ptr = cache->data; + ARG_CHECK(secp256k1_memcmp_var(ptr, secp256k1_musig_keyagg_cache_magic, 4) == 0); + ptr += 4; + secp256k1_ge_from_bytes(&cache_i->pk, ptr); + ptr += 64; + secp256k1_ge_from_bytes_ext(&cache_i->second_pk, ptr); + ptr += 64; + memcpy(cache_i->pks_hash, ptr, 32); + ptr += 32; + cache_i->parity_acc = *ptr & 1; + ptr += 1; + secp256k1_scalar_set_b32(&cache_i->tweak, ptr, NULL); + return 1; +} + +/* Initializes SHA256 with fixed midstate. This midstate was computed by applying + * SHA256 to SHA256("KeyAgg list")||SHA256("KeyAgg list"). */ +static void secp256k1_musig_keyagglist_sha256(secp256k1_sha256 *sha) { + secp256k1_sha256_initialize(sha); + + sha->s[0] = 0xb399d5e0ul; + sha->s[1] = 0xc8fff302ul; + sha->s[2] = 0x6badac71ul; + sha->s[3] = 0x07c5b7f1ul; + sha->s[4] = 0x9701e2eful; + sha->s[5] = 0x2a72ecf8ul; + sha->s[6] = 0x201a4c7bul; + sha->s[7] = 0xab148a38ul; + sha->bytes = 64; +} + +/* Computes pks_hash = tagged_hash(pk[0], ..., pk[np-1]) */ +static int secp256k1_musig_compute_pks_hash(const secp256k1_context *ctx, unsigned char *pks_hash, const secp256k1_pubkey * const* pks, size_t np) { + secp256k1_sha256 sha; + size_t i; + + secp256k1_musig_keyagglist_sha256(&sha); + for (i = 0; i < np; i++) { + unsigned char ser[33]; + size_t ser_len = sizeof(ser); + if (!secp256k1_ec_pubkey_serialize(ctx, ser, &ser_len, pks[i], SECP256K1_EC_COMPRESSED)) { + return 0; + } + VERIFY_CHECK(ser_len == sizeof(ser)); + secp256k1_sha256_write(&sha, ser, sizeof(ser)); + } + secp256k1_sha256_finalize(&sha, pks_hash); + return 1; +} + +/* Initializes SHA256 with fixed midstate. This midstate was computed by applying + * SHA256 to SHA256("KeyAgg coefficient")||SHA256("KeyAgg coefficient"). */ +static void secp256k1_musig_keyaggcoef_sha256(secp256k1_sha256 *sha) { + secp256k1_sha256_initialize(sha); + + sha->s[0] = 0x6ef02c5aul; + sha->s[1] = 0x06a480deul; + sha->s[2] = 0x1f298665ul; + sha->s[3] = 0x1d1134f2ul; + sha->s[4] = 0x56a0b063ul; + sha->s[5] = 0x52da4147ul; + sha->s[6] = 0xf280d9d4ul; + sha->s[7] = 0x4484be15ul; + sha->bytes = 64; +} + +/* Compute KeyAgg coefficient which is constant 1 for the second pubkey and + * otherwise tagged_hash(pks_hash, pk) where pks_hash is the hash of public keys. + * second_pk is the point at infinity in case there is no second_pk. Assumes + * that pk is not the point at infinity and that the Y-coordinates of pk and + * second_pk are normalized. */ +static void secp256k1_musig_keyaggcoef_internal(secp256k1_scalar *r, const unsigned char *pks_hash, secp256k1_ge *pk, const secp256k1_ge *second_pk) { + VERIFY_CHECK(!secp256k1_ge_is_infinity(pk)); + + if (!secp256k1_ge_is_infinity(second_pk) + && secp256k1_ge_eq_var(pk, second_pk)) { + secp256k1_scalar_set_int(r, 1); + } else { + secp256k1_sha256 sha; + unsigned char buf[33]; + secp256k1_musig_keyaggcoef_sha256(&sha); + secp256k1_sha256_write(&sha, pks_hash, 32); + /* Serialization does not fail since the pk is not the point at infinity + * (according to this function's precondition). */ + secp256k1_eckey_pubkey_serialize33(pk, buf); + secp256k1_sha256_write(&sha, buf, sizeof(buf)); + secp256k1_sha256_finalize(&sha, buf); + secp256k1_scalar_set_b32(r, buf, NULL); + } +} + +/* Assumes that pk is not the point at infinity and that the Y-coordinates of pk + * and cache_i->second_pk are normalized. */ +static void secp256k1_musig_keyaggcoef(secp256k1_scalar *r, const secp256k1_keyagg_cache_internal *cache_i, secp256k1_ge *pk) { + secp256k1_musig_keyaggcoef_internal(r, cache_i->pks_hash, pk, &cache_i->second_pk); +} + +typedef struct { + const secp256k1_context *ctx; + /* pks_hash is the hash of the public keys */ + unsigned char pks_hash[32]; + const secp256k1_pubkey * const* pks; + secp256k1_ge second_pk; +} secp256k1_musig_pubkey_agg_ecmult_data; + +/* Callback for batch EC multiplication to compute keyaggcoef_0*P0 + keyaggcoef_1*P1 + ... */ +static int secp256k1_musig_pubkey_agg_callback(secp256k1_scalar *sc, secp256k1_ge *pt, size_t idx, void *data) { + secp256k1_musig_pubkey_agg_ecmult_data *ctx = (secp256k1_musig_pubkey_agg_ecmult_data *) data; + int ret; + ret = secp256k1_pubkey_load(ctx->ctx, pt, ctx->pks[idx]); +#ifdef VERIFY + /* pubkey_load can't fail because the same pks have already been loaded in + * `musig_compute_pks_hash` (and we test this). */ + VERIFY_CHECK(ret); +#else + (void) ret; +#endif + secp256k1_musig_keyaggcoef_internal(sc, ctx->pks_hash, pt, &ctx->second_pk); + return 1; +} + +int secp256k1_musig_pubkey_agg(const secp256k1_context* ctx, secp256k1_xonly_pubkey *agg_pk, secp256k1_musig_keyagg_cache *keyagg_cache, const secp256k1_pubkey * const* pubkeys, size_t n_pubkeys) { + secp256k1_musig_pubkey_agg_ecmult_data ecmult_data; + secp256k1_gej pkj; + secp256k1_ge pkp; + size_t i; + + VERIFY_CHECK(ctx != NULL); + if (agg_pk != NULL) { + memset(agg_pk, 0, sizeof(*agg_pk)); + } + ARG_CHECK(pubkeys != NULL); + ARG_CHECK(n_pubkeys > 0); + for (i = 0; i < n_pubkeys; i++) { + ARG_CHECK(pubkeys[i] != NULL); + } + + ecmult_data.ctx = ctx; + ecmult_data.pks = pubkeys; + + secp256k1_ge_set_infinity(&ecmult_data.second_pk); + for (i = 1; i < n_pubkeys; i++) { + if (secp256k1_memcmp_var(pubkeys[0], pubkeys[i], sizeof(*pubkeys[0])) != 0) { + secp256k1_ge pk; + if (!secp256k1_pubkey_load(ctx, &pk, pubkeys[i])) { + return 0; + } + ecmult_data.second_pk = pk; + break; + } + } + + if (!secp256k1_musig_compute_pks_hash(ctx, ecmult_data.pks_hash, pubkeys, n_pubkeys)) { + return 0; + } + /* TODO: actually use optimized ecmult_multi algorithms by providing a + * scratch space */ + if (!secp256k1_ecmult_multi_var(&ctx->error_callback, NULL, &pkj, NULL, secp256k1_musig_pubkey_agg_callback, (void *) &ecmult_data, n_pubkeys)) { + /* In order to reach this line with the current implementation of + * ecmult_multi_var one would need to provide a callback that can + * fail. */ + return 0; + } + secp256k1_ge_set_gej(&pkp, &pkj); + secp256k1_fe_normalize_var(&pkp.y); + /* The resulting public key is infinity with negligible probability */ + VERIFY_CHECK(!secp256k1_ge_is_infinity(&pkp)); + if (keyagg_cache != NULL) { + secp256k1_keyagg_cache_internal cache_i = { 0 }; + cache_i.pk = pkp; + cache_i.second_pk = ecmult_data.second_pk; + memcpy(cache_i.pks_hash, ecmult_data.pks_hash, sizeof(cache_i.pks_hash)); + secp256k1_keyagg_cache_save(keyagg_cache, &cache_i); + } + + if (agg_pk != NULL) { + secp256k1_extrakeys_ge_even_y(&pkp); + secp256k1_xonly_pubkey_save(agg_pk, &pkp); + } + return 1; +} + +int secp256k1_musig_pubkey_get(const secp256k1_context* ctx, secp256k1_pubkey *agg_pk, const secp256k1_musig_keyagg_cache *keyagg_cache) { + secp256k1_keyagg_cache_internal cache_i; + VERIFY_CHECK(ctx != NULL); + ARG_CHECK(agg_pk != NULL); + memset(agg_pk, 0, sizeof(*agg_pk)); + ARG_CHECK(keyagg_cache != NULL); + + if (!secp256k1_keyagg_cache_load(ctx, &cache_i, keyagg_cache)) { + return 0; + } + secp256k1_pubkey_save(agg_pk, &cache_i.pk); + return 1; +} + +static int secp256k1_musig_pubkey_tweak_add_internal(const secp256k1_context* ctx, secp256k1_pubkey *output_pubkey, secp256k1_musig_keyagg_cache *keyagg_cache, const unsigned char *tweak32, int xonly) { + secp256k1_keyagg_cache_internal cache_i; + int overflow = 0; + secp256k1_scalar tweak; + + VERIFY_CHECK(ctx != NULL); + if (output_pubkey != NULL) { + memset(output_pubkey, 0, sizeof(*output_pubkey)); + } + ARG_CHECK(keyagg_cache != NULL); + ARG_CHECK(tweak32 != NULL); + + if (!secp256k1_keyagg_cache_load(ctx, &cache_i, keyagg_cache)) { + return 0; + } + secp256k1_scalar_set_b32(&tweak, tweak32, &overflow); + if (overflow) { + return 0; + } + if (xonly && secp256k1_extrakeys_ge_even_y(&cache_i.pk)) { + cache_i.parity_acc ^= 1; + secp256k1_scalar_negate(&cache_i.tweak, &cache_i.tweak); + } + secp256k1_scalar_add(&cache_i.tweak, &cache_i.tweak, &tweak); + if (!secp256k1_eckey_pubkey_tweak_add(&cache_i.pk, &tweak)) { + return 0; + } + /* eckey_pubkey_tweak_add fails if cache_i.pk is infinity */ + VERIFY_CHECK(!secp256k1_ge_is_infinity(&cache_i.pk)); + secp256k1_keyagg_cache_save(keyagg_cache, &cache_i); + if (output_pubkey != NULL) { + secp256k1_pubkey_save(output_pubkey, &cache_i.pk); + } + return 1; +} + +int secp256k1_musig_pubkey_ec_tweak_add(const secp256k1_context* ctx, secp256k1_pubkey *output_pubkey, secp256k1_musig_keyagg_cache *keyagg_cache, const unsigned char *tweak32) { + return secp256k1_musig_pubkey_tweak_add_internal(ctx, output_pubkey, keyagg_cache, tweak32, 0); +} + +int secp256k1_musig_pubkey_xonly_tweak_add(const secp256k1_context* ctx, secp256k1_pubkey *output_pubkey, secp256k1_musig_keyagg_cache *keyagg_cache, const unsigned char *tweak32) { + return secp256k1_musig_pubkey_tweak_add_internal(ctx, output_pubkey, keyagg_cache, tweak32, 1); +} + +#endif diff --git a/src/modules/musig/main_impl.h b/src/modules/musig/main_impl.h new file mode 100644 index 0000000000..a1311e4191 --- /dev/null +++ b/src/modules/musig/main_impl.h @@ -0,0 +1,12 @@ +/********************************************************************** + * Distributed under the MIT software license, see the accompanying * + * file COPYING or http://www.opensource.org/licenses/mit-license.php.* + **********************************************************************/ + +#ifndef SECP256K1_MODULE_MUSIG_MAIN_H +#define SECP256K1_MODULE_MUSIG_MAIN_H + +#include "keyagg_impl.h" +#include "session_impl.h" + +#endif diff --git a/src/modules/musig/session.h b/src/modules/musig/session.h new file mode 100644 index 0000000000..d6d76bc6c1 --- /dev/null +++ b/src/modules/musig/session.h @@ -0,0 +1,24 @@ +/*********************************************************************** + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ + +#ifndef SECP256K1_MODULE_MUSIG_SESSION_H +#define SECP256K1_MODULE_MUSIG_SESSION_H + +#include "../../../include/secp256k1.h" +#include "../../../include/secp256k1_musig.h" + +#include "../../scalar.h" + +typedef struct { + int fin_nonce_parity; + unsigned char fin_nonce[32]; + secp256k1_scalar noncecoef; + secp256k1_scalar challenge; + secp256k1_scalar s_part; +} secp256k1_musig_session_internal; + +static int secp256k1_musig_session_load(const secp256k1_context* ctx, secp256k1_musig_session_internal *session_i, const secp256k1_musig_session *session); + +#endif diff --git a/src/modules/musig/session_impl.h b/src/modules/musig/session_impl.h new file mode 100644 index 0000000000..4a245ada5f --- /dev/null +++ b/src/modules/musig/session_impl.h @@ -0,0 +1,809 @@ +/*********************************************************************** + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ + +#ifndef SECP256K1_MODULE_MUSIG_SESSION_IMPL_H +#define SECP256K1_MODULE_MUSIG_SESSION_IMPL_H + +#include + +#include "../../../include/secp256k1.h" +#include "../../../include/secp256k1_extrakeys.h" +#include "../../../include/secp256k1_musig.h" + +#include "keyagg.h" +#include "session.h" +#include "../../eckey.h" +#include "../../hash.h" +#include "../../scalar.h" +#include "../../util.h" + +/* Outputs 33 zero bytes if the given group element is the point at infinity and + * otherwise outputs the compressed serialization */ +static void secp256k1_musig_ge_serialize_ext(unsigned char *out33, secp256k1_ge* ge) { + if (secp256k1_ge_is_infinity(ge)) { + memset(out33, 0, 33); + } else { + /* Serialize must succeed because the point is not at infinity */ + secp256k1_eckey_pubkey_serialize33(ge, out33); + } +} + +/* Outputs the point at infinity if the given byte array is all zero, otherwise + * attempts to parse compressed point serialization. */ +static int secp256k1_musig_ge_parse_ext(secp256k1_ge* ge, const unsigned char *in33) { + unsigned char zeros[33] = { 0 }; + + if (secp256k1_memcmp_var(in33, zeros, sizeof(zeros)) == 0) { + secp256k1_ge_set_infinity(ge); + return 1; + } + if (!secp256k1_eckey_pubkey_parse(ge, in33, 33)) { + return 0; + } + return secp256k1_ge_is_in_correct_subgroup(ge); +} + +static const unsigned char secp256k1_musig_secnonce_magic[4] = { 0x22, 0x0e, 0xdc, 0xf1 }; + +static void secp256k1_musig_secnonce_save(secp256k1_musig_secnonce *secnonce, const secp256k1_scalar *k, const secp256k1_ge *pk) { + memcpy(&secnonce->data[0], secp256k1_musig_secnonce_magic, 4); + secp256k1_scalar_get_b32(&secnonce->data[4], &k[0]); + secp256k1_scalar_get_b32(&secnonce->data[36], &k[1]); + secp256k1_ge_to_bytes(&secnonce->data[68], pk); +} + +static int secp256k1_musig_secnonce_load(const secp256k1_context* ctx, secp256k1_scalar *k, secp256k1_ge *pk, const secp256k1_musig_secnonce *secnonce) { + int is_zero; + ARG_CHECK(secp256k1_memcmp_var(&secnonce->data[0], secp256k1_musig_secnonce_magic, 4) == 0); + /* We make very sure that the nonce isn't invalidated by checking the values + * in addition to the magic. */ + is_zero = secp256k1_is_zero_array(&secnonce->data[4], 2 * 32); + secp256k1_declassify(ctx, &is_zero, sizeof(is_zero)); + ARG_CHECK(!is_zero); + + secp256k1_scalar_set_b32(&k[0], &secnonce->data[4], NULL); + secp256k1_scalar_set_b32(&k[1], &secnonce->data[36], NULL); + secp256k1_ge_from_bytes(pk, &secnonce->data[68]); + return 1; +} + +/* If flag is true, invalidate the secnonce; otherwise leave it. Constant-time. */ +static void secp256k1_musig_secnonce_invalidate(const secp256k1_context* ctx, secp256k1_musig_secnonce *secnonce, int flag) { + secp256k1_memczero(secnonce->data, sizeof(secnonce->data), flag); + /* The flag argument is usually classified. So, the line above makes the + * magic and public key classified. However, we need both to be + * declassified. Note that we don't declassify the entire object, because if + * flag is 0, then k[0] and k[1] have not been zeroed. */ + secp256k1_declassify(ctx, secnonce->data, sizeof(secp256k1_musig_secnonce_magic)); + secp256k1_declassify(ctx, &secnonce->data[68], 64); +} + +static const unsigned char secp256k1_musig_pubnonce_magic[4] = { 0xf5, 0x7a, 0x3d, 0xa0 }; + +/* Saves two group elements into a pubnonce. Requires that none of the provided + * group elements is infinity. */ +static void secp256k1_musig_pubnonce_save(secp256k1_musig_pubnonce* nonce, const secp256k1_ge* ges) { + int i; + memcpy(&nonce->data[0], secp256k1_musig_pubnonce_magic, 4); + for (i = 0; i < 2; i++) { + secp256k1_ge_to_bytes(nonce->data + 4+64*i, &ges[i]); + } +} + +/* Loads two group elements from a pubnonce. Returns 1 unless the nonce wasn't + * properly initialized */ +static int secp256k1_musig_pubnonce_load(const secp256k1_context* ctx, secp256k1_ge* ges, const secp256k1_musig_pubnonce* nonce) { + int i; + + ARG_CHECK(secp256k1_memcmp_var(&nonce->data[0], secp256k1_musig_pubnonce_magic, 4) == 0); + for (i = 0; i < 2; i++) { + secp256k1_ge_from_bytes(&ges[i], nonce->data + 4 + 64*i); + } + return 1; +} + +static const unsigned char secp256k1_musig_aggnonce_magic[4] = { 0xa8, 0xb7, 0xe4, 0x67 }; + +static void secp256k1_musig_aggnonce_save(secp256k1_musig_aggnonce* nonce, const secp256k1_ge* ges) { + int i; + memcpy(&nonce->data[0], secp256k1_musig_aggnonce_magic, 4); + for (i = 0; i < 2; i++) { + secp256k1_ge_to_bytes_ext(&nonce->data[4 + 64*i], &ges[i]); + } +} + +static int secp256k1_musig_aggnonce_load(const secp256k1_context* ctx, secp256k1_ge* ges, const secp256k1_musig_aggnonce* nonce) { + int i; + + ARG_CHECK(secp256k1_memcmp_var(&nonce->data[0], secp256k1_musig_aggnonce_magic, 4) == 0); + for (i = 0; i < 2; i++) { + secp256k1_ge_from_bytes_ext(&ges[i], &nonce->data[4 + 64*i]); + } + return 1; +} + +static const unsigned char secp256k1_musig_session_cache_magic[4] = { 0x9d, 0xed, 0xe9, 0x17 }; + +/* A session consists of + * - 4 byte session cache magic + * - 1 byte the parity of the final nonce + * - 32 byte serialized x-only final nonce + * - 32 byte nonce coefficient b + * - 32 byte signature challenge hash e + * - 32 byte scalar s that is added to the partial signatures of the signers + */ +static void secp256k1_musig_session_save(secp256k1_musig_session *session, const secp256k1_musig_session_internal *session_i) { + unsigned char *ptr = session->data; + + memcpy(ptr, secp256k1_musig_session_cache_magic, 4); + ptr += 4; + *ptr = session_i->fin_nonce_parity; + ptr += 1; + memcpy(ptr, session_i->fin_nonce, 32); + ptr += 32; + secp256k1_scalar_get_b32(ptr, &session_i->noncecoef); + ptr += 32; + secp256k1_scalar_get_b32(ptr, &session_i->challenge); + ptr += 32; + secp256k1_scalar_get_b32(ptr, &session_i->s_part); +} + +static int secp256k1_musig_session_load(const secp256k1_context* ctx, secp256k1_musig_session_internal *session_i, const secp256k1_musig_session *session) { + const unsigned char *ptr = session->data; + + ARG_CHECK(secp256k1_memcmp_var(ptr, secp256k1_musig_session_cache_magic, 4) == 0); + ptr += 4; + session_i->fin_nonce_parity = *ptr; + ptr += 1; + memcpy(session_i->fin_nonce, ptr, 32); + ptr += 32; + secp256k1_scalar_set_b32(&session_i->noncecoef, ptr, NULL); + ptr += 32; + secp256k1_scalar_set_b32(&session_i->challenge, ptr, NULL); + ptr += 32; + secp256k1_scalar_set_b32(&session_i->s_part, ptr, NULL); + return 1; +} + +static const unsigned char secp256k1_musig_partial_sig_magic[4] = { 0xeb, 0xfb, 0x1a, 0x32 }; + +static void secp256k1_musig_partial_sig_save(secp256k1_musig_partial_sig* sig, secp256k1_scalar *s) { + memcpy(&sig->data[0], secp256k1_musig_partial_sig_magic, 4); + secp256k1_scalar_get_b32(&sig->data[4], s); +} + +static int secp256k1_musig_partial_sig_load(const secp256k1_context* ctx, secp256k1_scalar *s, const secp256k1_musig_partial_sig* sig) { + int overflow; + + ARG_CHECK(secp256k1_memcmp_var(&sig->data[0], secp256k1_musig_partial_sig_magic, 4) == 0); + secp256k1_scalar_set_b32(s, &sig->data[4], &overflow); + /* Parsed signatures can not overflow */ + VERIFY_CHECK(!overflow); + return 1; +} + +int secp256k1_musig_pubnonce_parse(const secp256k1_context* ctx, secp256k1_musig_pubnonce* nonce, const unsigned char *in66) { + secp256k1_ge ges[2]; + int i; + + VERIFY_CHECK(ctx != NULL); + ARG_CHECK(nonce != NULL); + ARG_CHECK(in66 != NULL); + + for (i = 0; i < 2; i++) { + if (!secp256k1_eckey_pubkey_parse(&ges[i], &in66[33*i], 33)) { + return 0; + } + if (!secp256k1_ge_is_in_correct_subgroup(&ges[i])) { + return 0; + } + } + secp256k1_musig_pubnonce_save(nonce, ges); + return 1; +} + +int secp256k1_musig_pubnonce_serialize(const secp256k1_context* ctx, unsigned char *out66, const secp256k1_musig_pubnonce* nonce) { + secp256k1_ge ges[2]; + int i; + + VERIFY_CHECK(ctx != NULL); + ARG_CHECK(out66 != NULL); + memset(out66, 0, 66); + ARG_CHECK(nonce != NULL); + + if (!secp256k1_musig_pubnonce_load(ctx, ges, nonce)) { + return 0; + } + for (i = 0; i < 2; i++) { + /* serialize must succeed because the point was just loaded */ + secp256k1_eckey_pubkey_serialize33(&ges[i], &out66[33*i]); + } + return 1; +} + +int secp256k1_musig_aggnonce_parse(const secp256k1_context* ctx, secp256k1_musig_aggnonce* nonce, const unsigned char *in66) { + secp256k1_ge ges[2]; + int i; + + VERIFY_CHECK(ctx != NULL); + ARG_CHECK(nonce != NULL); + ARG_CHECK(in66 != NULL); + + for (i = 0; i < 2; i++) { + if (!secp256k1_musig_ge_parse_ext(&ges[i], &in66[33*i])) { + return 0; + } + } + secp256k1_musig_aggnonce_save(nonce, ges); + return 1; +} + +int secp256k1_musig_aggnonce_serialize(const secp256k1_context* ctx, unsigned char *out66, const secp256k1_musig_aggnonce* nonce) { + secp256k1_ge ges[2]; + int i; + + VERIFY_CHECK(ctx != NULL); + ARG_CHECK(out66 != NULL); + memset(out66, 0, 66); + ARG_CHECK(nonce != NULL); + + if (!secp256k1_musig_aggnonce_load(ctx, ges, nonce)) { + return 0; + } + for (i = 0; i < 2; i++) { + secp256k1_musig_ge_serialize_ext(&out66[33*i], &ges[i]); + } + return 1; +} + +int secp256k1_musig_partial_sig_parse(const secp256k1_context* ctx, secp256k1_musig_partial_sig* sig, const unsigned char *in32) { + secp256k1_scalar tmp; + int overflow; + VERIFY_CHECK(ctx != NULL); + ARG_CHECK(sig != NULL); + ARG_CHECK(in32 != NULL); + + /* Ensure that using the signature will fail if parsing fails (and the user + * doesn't check the return value). */ + memset(sig, 0, sizeof(*sig)); + + secp256k1_scalar_set_b32(&tmp, in32, &overflow); + if (overflow) { + return 0; + } + secp256k1_musig_partial_sig_save(sig, &tmp); + return 1; +} + +int secp256k1_musig_partial_sig_serialize(const secp256k1_context* ctx, unsigned char *out32, const secp256k1_musig_partial_sig* sig) { + VERIFY_CHECK(ctx != NULL); + ARG_CHECK(out32 != NULL); + ARG_CHECK(sig != NULL); + ARG_CHECK(secp256k1_memcmp_var(&sig->data[0], secp256k1_musig_partial_sig_magic, 4) == 0); + + memcpy(out32, &sig->data[4], 32); + return 1; +} + +/* Write optional inputs into the hash */ +static void secp256k1_nonce_function_musig_helper(secp256k1_sha256 *sha, unsigned int prefix_size, const unsigned char *data, unsigned char len) { + unsigned char zero[7] = { 0 }; + /* The spec requires length prefixes to be between 1 and 8 bytes + * (inclusive) */ + VERIFY_CHECK(prefix_size >= 1 && prefix_size <= 8); + /* Since the length of all input data fits in a byte, we can always pad the + * length prefix with prefix_size - 1 zero bytes. */ + secp256k1_sha256_write(sha, zero, prefix_size - 1); + if (data != NULL) { + secp256k1_sha256_write(sha, &len, 1); + secp256k1_sha256_write(sha, data, len); + } else { + len = 0; + secp256k1_sha256_write(sha, &len, 1); + } +} + +/* Initializes SHA256 with fixed midstate. This midstate was computed by applying + * SHA256 to SHA256("MuSig/aux")||SHA256("MuSig/aux"). */ +static void secp256k1_nonce_function_musig_sha256_tagged_aux(secp256k1_sha256 *sha) { + secp256k1_sha256_initialize(sha); + sha->s[0] = 0xa19e884bul; + sha->s[1] = 0xf463fe7eul; + sha->s[2] = 0x2f18f9a2ul; + sha->s[3] = 0xbeb0f9fful; + sha->s[4] = 0x0f37e8b0ul; + sha->s[5] = 0x06ebd26ful; + sha->s[6] = 0xe3b243d2ul; + sha->s[7] = 0x522fb150ul; + sha->bytes = 64; +} + +/* Initializes SHA256 with fixed midstate. This midstate was computed by applying + * SHA256 to SHA256("MuSig/nonce")||SHA256("MuSig/nonce"). */ +static void secp256k1_nonce_function_musig_sha256_tagged(secp256k1_sha256 *sha) { + secp256k1_sha256_initialize(sha); + sha->s[0] = 0x07101b64ul; + sha->s[1] = 0x18003414ul; + sha->s[2] = 0x0391bc43ul; + sha->s[3] = 0x0e6258eeul; + sha->s[4] = 0x29d26b72ul; + sha->s[5] = 0x8343937eul; + sha->s[6] = 0xb7a0a4fbul; + sha->s[7] = 0xff568a30ul; + sha->bytes = 64; +} + +static void secp256k1_nonce_function_musig(secp256k1_scalar *k, const unsigned char *session_secrand, const unsigned char *msg32, const unsigned char *seckey32, const unsigned char *pk33, const unsigned char *agg_pk32, const unsigned char *extra_input32) { + secp256k1_sha256 sha; + unsigned char rand[32]; + unsigned char i; + unsigned char msg_present; + + if (seckey32 != NULL) { + secp256k1_nonce_function_musig_sha256_tagged_aux(&sha); + secp256k1_sha256_write(&sha, session_secrand, 32); + secp256k1_sha256_finalize(&sha, rand); + for (i = 0; i < 32; i++) { + rand[i] ^= seckey32[i]; + } + } else { + memcpy(rand, session_secrand, sizeof(rand)); + } + + secp256k1_nonce_function_musig_sha256_tagged(&sha); + secp256k1_sha256_write(&sha, rand, sizeof(rand)); + secp256k1_nonce_function_musig_helper(&sha, 1, pk33, 33); + secp256k1_nonce_function_musig_helper(&sha, 1, agg_pk32, 32); + msg_present = msg32 != NULL; + secp256k1_sha256_write(&sha, &msg_present, 1); + if (msg_present) { + secp256k1_nonce_function_musig_helper(&sha, 8, msg32, 32); + } + secp256k1_nonce_function_musig_helper(&sha, 4, extra_input32, 32); + + for (i = 0; i < 2; i++) { + unsigned char buf[32]; + secp256k1_sha256 sha_tmp = sha; + secp256k1_sha256_write(&sha_tmp, &i, 1); + secp256k1_sha256_finalize(&sha_tmp, buf); + secp256k1_scalar_set_b32(&k[i], buf, NULL); + + /* Attempt to erase secret data */ + secp256k1_memclear_explicit(buf, sizeof(buf)); + secp256k1_sha256_clear(&sha_tmp); + } + secp256k1_memclear_explicit(rand, sizeof(rand)); + secp256k1_sha256_clear(&sha); +} + +static int secp256k1_musig_nonce_gen_internal(const secp256k1_context* ctx, secp256k1_musig_secnonce *secnonce, secp256k1_musig_pubnonce *pubnonce, const unsigned char *input_nonce, const unsigned char *seckey, const secp256k1_pubkey *pubkey, const unsigned char *msg32, const secp256k1_musig_keyagg_cache *keyagg_cache, const unsigned char *extra_input32) { + secp256k1_scalar k[2]; + secp256k1_ge nonce_pts[2]; + secp256k1_gej nonce_ptj[2]; + int i; + unsigned char pk_ser[33]; + unsigned char aggpk_ser[32]; + unsigned char *aggpk_ser_ptr = NULL; + secp256k1_ge pk; + int ret = 1; + + ARG_CHECK(pubnonce != NULL); + memset(pubnonce, 0, sizeof(*pubnonce)); + ARG_CHECK(pubkey != NULL); + ARG_CHECK(secp256k1_ecmult_gen_context_is_built(&ctx->ecmult_gen_ctx)); + + /* Check that the seckey is valid to be able to sign for it later. */ + if (seckey != NULL) { + secp256k1_scalar sk; + ret &= secp256k1_scalar_set_b32_seckey(&sk, seckey); + secp256k1_scalar_clear(&sk); + } + + if (keyagg_cache != NULL) { + secp256k1_keyagg_cache_internal cache_i; + if (!secp256k1_keyagg_cache_load(ctx, &cache_i, keyagg_cache)) { + return 0; + } + /* The loaded point cache_i.pk can not be the point at infinity. */ + secp256k1_fe_get_b32(aggpk_ser, &cache_i.pk.x); + aggpk_ser_ptr = aggpk_ser; + } + if (!secp256k1_pubkey_load(ctx, &pk, pubkey)) { + return 0; + } + /* A pubkey cannot be the point at infinity */ + secp256k1_eckey_pubkey_serialize33(&pk, pk_ser); + + secp256k1_nonce_function_musig(k, input_nonce, msg32, seckey, pk_ser, aggpk_ser_ptr, extra_input32); + VERIFY_CHECK(!secp256k1_scalar_is_zero(&k[0])); + VERIFY_CHECK(!secp256k1_scalar_is_zero(&k[1])); + secp256k1_musig_secnonce_save(secnonce, k, &pk); + secp256k1_musig_secnonce_invalidate(ctx, secnonce, !ret); + + /* Compute pubnonce as two gejs */ + for (i = 0; i < 2; i++) { + secp256k1_ecmult_gen(&ctx->ecmult_gen_ctx, &nonce_ptj[i], &k[i]); + secp256k1_scalar_clear(&k[i]); + } + + /* Batch convert to two public ges */ + secp256k1_ge_set_all_gej(nonce_pts, nonce_ptj, 2); + for (i = 0; i < 2; i++) { + secp256k1_gej_clear(&nonce_ptj[i]); + } + + for (i = 0; i < 2; i++) { + secp256k1_declassify(ctx, &nonce_pts[i], sizeof(nonce_pts[i])); + } + /* None of the nonce_pts will be infinity because k != 0 with overwhelming + * probability */ + secp256k1_musig_pubnonce_save(pubnonce, nonce_pts); + return ret; +} + +int secp256k1_musig_nonce_gen(const secp256k1_context* ctx, secp256k1_musig_secnonce *secnonce, secp256k1_musig_pubnonce *pubnonce, unsigned char *session_secrand32, const unsigned char *seckey, const secp256k1_pubkey *pubkey, const unsigned char *msg32, const secp256k1_musig_keyagg_cache *keyagg_cache, const unsigned char *extra_input32) { + int ret = 1; + + VERIFY_CHECK(ctx != NULL); + ARG_CHECK(secnonce != NULL); + memset(secnonce, 0, sizeof(*secnonce)); + ARG_CHECK(session_secrand32 != NULL); + + /* Check in constant time that the session_secrand32 is not 0 as a + * defense-in-depth measure that may protect against a faulty RNG. */ + ret &= !secp256k1_is_zero_array(session_secrand32, 32); + + /* We can declassify because branching on ret is only relevant when this + * function called with an invalid session_secrand32 argument */ + secp256k1_declassify(ctx, &ret, sizeof(ret)); + if (ret == 0) { + secp256k1_musig_secnonce_invalidate(ctx, secnonce, 1); + return 0; + } + + ret &= secp256k1_musig_nonce_gen_internal(ctx, secnonce, pubnonce, session_secrand32, seckey, pubkey, msg32, keyagg_cache, extra_input32); + + /* Set the session_secrand32 buffer to zero to prevent the caller from using + * nonce_gen multiple times with the same buffer. */ + secp256k1_memczero(session_secrand32, 32, ret); + return ret; +} + +int secp256k1_musig_nonce_gen_counter(const secp256k1_context* ctx, secp256k1_musig_secnonce *secnonce, secp256k1_musig_pubnonce *pubnonce, uint64_t nonrepeating_cnt, const secp256k1_keypair *keypair, const unsigned char *msg32, const secp256k1_musig_keyagg_cache *keyagg_cache, const unsigned char *extra_input32) { + unsigned char buf[32] = { 0 }; + unsigned char seckey[32]; + secp256k1_pubkey pubkey; + int ret; + + VERIFY_CHECK(ctx != NULL); + ARG_CHECK(secnonce != NULL); + memset(secnonce, 0, sizeof(*secnonce)); + ARG_CHECK(keypair != NULL); + + secp256k1_write_be64(buf, nonrepeating_cnt); + /* keypair_sec and keypair_pub do not fail if the arguments are not NULL */ + ret = secp256k1_keypair_sec(ctx, seckey, keypair); + VERIFY_CHECK(ret); + ret = secp256k1_keypair_pub(ctx, &pubkey, keypair); + VERIFY_CHECK(ret); +#ifndef VERIFY + (void) ret; +#endif + + if (!secp256k1_musig_nonce_gen_internal(ctx, secnonce, pubnonce, buf, seckey, &pubkey, msg32, keyagg_cache, extra_input32)) { + return 0; + } + secp256k1_memclear_explicit(seckey, sizeof(seckey)); + return 1; +} + +static int secp256k1_musig_sum_pubnonces(const secp256k1_context* ctx, secp256k1_gej *summed_pubnonces, const secp256k1_musig_pubnonce * const* pubnonces, size_t n_pubnonces) { + size_t i; + int j; + + secp256k1_gej_set_infinity(&summed_pubnonces[0]); + secp256k1_gej_set_infinity(&summed_pubnonces[1]); + + for (i = 0; i < n_pubnonces; i++) { + secp256k1_ge nonce_pts[2]; + if (!secp256k1_musig_pubnonce_load(ctx, nonce_pts, pubnonces[i])) { + return 0; + } + for (j = 0; j < 2; j++) { + secp256k1_gej_add_ge_var(&summed_pubnonces[j], &summed_pubnonces[j], &nonce_pts[j], NULL); + } + } + return 1; +} + +int secp256k1_musig_nonce_agg(const secp256k1_context* ctx, secp256k1_musig_aggnonce *aggnonce, const secp256k1_musig_pubnonce * const* pubnonces, size_t n_pubnonces) { + secp256k1_gej aggnonce_ptsj[2]; + secp256k1_ge aggnonce_pts[2]; + size_t i; + + VERIFY_CHECK(ctx != NULL); + ARG_CHECK(aggnonce != NULL); + ARG_CHECK(pubnonces != NULL); + ARG_CHECK(n_pubnonces > 0); + for (i = 0; i < n_pubnonces; i++) { + ARG_CHECK(pubnonces[i] != NULL); + } + + if (!secp256k1_musig_sum_pubnonces(ctx, aggnonce_ptsj, pubnonces, n_pubnonces)) { + return 0; + } + secp256k1_ge_set_all_gej_var(aggnonce_pts, aggnonce_ptsj, 2); + secp256k1_musig_aggnonce_save(aggnonce, aggnonce_pts); + return 1; +} + +/* Initializes SHA256 with fixed midstate. This midstate was computed by applying + * SHA256 to SHA256("MuSig/noncecoef")||SHA256("MuSig/noncecoef"). */ +static void secp256k1_musig_compute_noncehash_sha256_tagged(secp256k1_sha256 *sha) { + secp256k1_sha256_initialize(sha); + sha->s[0] = 0x2c7d5a45ul; + sha->s[1] = 0x06bf7e53ul; + sha->s[2] = 0x89be68a6ul; + sha->s[3] = 0x971254c0ul; + sha->s[4] = 0x60ac12d2ul; + sha->s[5] = 0x72846dcdul; + sha->s[6] = 0x6c81212ful; + sha->s[7] = 0xde7a2500ul; + sha->bytes = 64; +} + +/* tagged_hash(aggnonce[0], aggnonce[1], agg_pk, msg) */ +static void secp256k1_musig_compute_noncehash(unsigned char *noncehash, secp256k1_ge *aggnonce, const unsigned char *agg_pk32, const unsigned char *msg) { + unsigned char buf[33]; + secp256k1_sha256 sha; + int i; + + secp256k1_musig_compute_noncehash_sha256_tagged(&sha); + for (i = 0; i < 2; i++) { + secp256k1_musig_ge_serialize_ext(buf, &aggnonce[i]); + secp256k1_sha256_write(&sha, buf, sizeof(buf)); + } + secp256k1_sha256_write(&sha, agg_pk32, 32); + secp256k1_sha256_write(&sha, msg, 32); + secp256k1_sha256_finalize(&sha, noncehash); +} + +/* out_nonce = nonce_pts[0] + b*nonce_pts[1] */ +static void secp256k1_effective_nonce(secp256k1_gej *out_nonce, const secp256k1_ge *nonce_pts, const secp256k1_scalar *b) { + secp256k1_gej tmp; + + secp256k1_gej_set_ge(&tmp, &nonce_pts[1]); + secp256k1_ecmult(out_nonce, &tmp, b, NULL); + secp256k1_gej_add_ge_var(out_nonce, out_nonce, &nonce_pts[0], NULL); +} + +static void secp256k1_musig_nonce_process_internal(int *fin_nonce_parity, unsigned char *fin_nonce, secp256k1_scalar *b, secp256k1_ge *aggnonce_pts, const unsigned char *agg_pk32, const unsigned char *msg) { + unsigned char noncehash[32]; + secp256k1_ge fin_nonce_pt; + secp256k1_gej fin_nonce_ptj; + + secp256k1_musig_compute_noncehash(noncehash, aggnonce_pts, agg_pk32, msg); + secp256k1_scalar_set_b32(b, noncehash, NULL); + /* fin_nonce = aggnonce_pts[0] + b*aggnonce_pts[1] */ + secp256k1_effective_nonce(&fin_nonce_ptj, aggnonce_pts, b); + secp256k1_ge_set_gej(&fin_nonce_pt, &fin_nonce_ptj); + if (secp256k1_ge_is_infinity(&fin_nonce_pt)) { + fin_nonce_pt = secp256k1_ge_const_g; + } + /* fin_nonce_pt is not the point at infinity */ + secp256k1_fe_normalize_var(&fin_nonce_pt.x); + secp256k1_fe_get_b32(fin_nonce, &fin_nonce_pt.x); + secp256k1_fe_normalize_var(&fin_nonce_pt.y); + *fin_nonce_parity = secp256k1_fe_is_odd(&fin_nonce_pt.y); +} + +int secp256k1_musig_nonce_process(const secp256k1_context* ctx, secp256k1_musig_session *session, const secp256k1_musig_aggnonce *aggnonce, const unsigned char *msg32, const secp256k1_musig_keyagg_cache *keyagg_cache) { + secp256k1_keyagg_cache_internal cache_i; + secp256k1_ge aggnonce_pts[2]; + unsigned char fin_nonce[32]; + secp256k1_musig_session_internal session_i; + unsigned char agg_pk32[32]; + + VERIFY_CHECK(ctx != NULL); + ARG_CHECK(session != NULL); + ARG_CHECK(aggnonce != NULL); + ARG_CHECK(msg32 != NULL); + ARG_CHECK(keyagg_cache != NULL); + + if (!secp256k1_keyagg_cache_load(ctx, &cache_i, keyagg_cache)) { + return 0; + } + secp256k1_fe_get_b32(agg_pk32, &cache_i.pk.x); + + if (!secp256k1_musig_aggnonce_load(ctx, aggnonce_pts, aggnonce)) { + return 0; + } + + secp256k1_musig_nonce_process_internal(&session_i.fin_nonce_parity, fin_nonce, &session_i.noncecoef, aggnonce_pts, agg_pk32, msg32); + secp256k1_schnorrsig_challenge(&session_i.challenge, fin_nonce, msg32, 32, agg_pk32); + + /* If there is a tweak then set `challenge` times `tweak` to the `s`-part.*/ + secp256k1_scalar_set_int(&session_i.s_part, 0); + if (!secp256k1_scalar_is_zero(&cache_i.tweak)) { + secp256k1_scalar e_tmp; + secp256k1_scalar_mul(&e_tmp, &session_i.challenge, &cache_i.tweak); + if (secp256k1_fe_is_odd(&cache_i.pk.y)) { + secp256k1_scalar_negate(&e_tmp, &e_tmp); + } + session_i.s_part = e_tmp; + } + memcpy(session_i.fin_nonce, fin_nonce, sizeof(session_i.fin_nonce)); + secp256k1_musig_session_save(session, &session_i); + return 1; +} + +static void secp256k1_musig_partial_sign_clear(secp256k1_scalar *sk, secp256k1_scalar *k) { + secp256k1_scalar_clear(sk); + secp256k1_scalar_clear(&k[0]); + secp256k1_scalar_clear(&k[1]); +} + +int secp256k1_musig_partial_sign(const secp256k1_context* ctx, secp256k1_musig_partial_sig *partial_sig, secp256k1_musig_secnonce *secnonce, const secp256k1_keypair *keypair, const secp256k1_musig_keyagg_cache *keyagg_cache, const secp256k1_musig_session *session) { + secp256k1_scalar sk; + secp256k1_ge pk, keypair_pk; + secp256k1_scalar k[2]; + secp256k1_scalar mu, s; + secp256k1_keyagg_cache_internal cache_i; + secp256k1_musig_session_internal session_i; + int ret; + + VERIFY_CHECK(ctx != NULL); + + ARG_CHECK(secnonce != NULL); + /* Fails if the magic doesn't match */ + ret = secp256k1_musig_secnonce_load(ctx, k, &pk, secnonce); + /* Set nonce to zero to avoid nonce reuse. This will cause subsequent calls + * of this function to fail */ + secp256k1_memzero_explicit(secnonce, sizeof(*secnonce)); + if (!ret) { + secp256k1_musig_partial_sign_clear(&sk, k); + return 0; + } + + ARG_CHECK(partial_sig != NULL); + ARG_CHECK(keypair != NULL); + ARG_CHECK(keyagg_cache != NULL); + ARG_CHECK(session != NULL); + + if (!secp256k1_keypair_load(ctx, &sk, &keypair_pk, keypair)) { + secp256k1_musig_partial_sign_clear(&sk, k); + return 0; + } + ARG_CHECK(secp256k1_fe_equal(&pk.x, &keypair_pk.x) + && secp256k1_fe_equal(&pk.y, &keypair_pk.y)); + if (!secp256k1_keyagg_cache_load(ctx, &cache_i, keyagg_cache)) { + secp256k1_musig_partial_sign_clear(&sk, k); + return 0; + } + + /* Negate sk if secp256k1_fe_is_odd(&cache_i.pk.y)) XOR cache_i.parity_acc. + * This corresponds to the line "Let d = g⋅gacc⋅d' mod n" in the + * specification. */ + if ((secp256k1_fe_is_odd(&cache_i.pk.y) + != cache_i.parity_acc)) { + secp256k1_scalar_negate(&sk, &sk); + } + + /* Multiply KeyAgg coefficient */ + secp256k1_musig_keyaggcoef(&mu, &cache_i, &pk); + secp256k1_scalar_mul(&sk, &sk, &mu); + + if (!secp256k1_musig_session_load(ctx, &session_i, session)) { + secp256k1_musig_partial_sign_clear(&sk, k); + return 0; + } + + if (session_i.fin_nonce_parity) { + secp256k1_scalar_negate(&k[0], &k[0]); + secp256k1_scalar_negate(&k[1], &k[1]); + } + + /* Sign */ + secp256k1_scalar_mul(&s, &session_i.challenge, &sk); + secp256k1_scalar_mul(&k[1], &session_i.noncecoef, &k[1]); + secp256k1_scalar_add(&k[0], &k[0], &k[1]); + secp256k1_scalar_add(&s, &s, &k[0]); + secp256k1_musig_partial_sig_save(partial_sig, &s); + secp256k1_musig_partial_sign_clear(&sk, k); + return 1; +} + +int secp256k1_musig_partial_sig_verify(const secp256k1_context* ctx, const secp256k1_musig_partial_sig *partial_sig, const secp256k1_musig_pubnonce *pubnonce, const secp256k1_pubkey *pubkey, const secp256k1_musig_keyagg_cache *keyagg_cache, const secp256k1_musig_session *session) { + secp256k1_keyagg_cache_internal cache_i; + secp256k1_musig_session_internal session_i; + secp256k1_scalar mu, e, s; + secp256k1_gej pkj; + secp256k1_ge nonce_pts[2]; + secp256k1_gej rj; + secp256k1_gej tmp; + secp256k1_ge pkp; + + VERIFY_CHECK(ctx != NULL); + ARG_CHECK(partial_sig != NULL); + ARG_CHECK(pubnonce != NULL); + ARG_CHECK(pubkey != NULL); + ARG_CHECK(keyagg_cache != NULL); + ARG_CHECK(session != NULL); + + if (!secp256k1_musig_session_load(ctx, &session_i, session)) { + return 0; + } + + if (!secp256k1_musig_pubnonce_load(ctx, nonce_pts, pubnonce)) { + return 0; + } + /* Compute "effective" nonce rj = nonce_pts[0] + b*nonce_pts[1] */ + /* TODO: use multiexp to compute -s*G + e*mu*pubkey + nonce_pts[0] + b*nonce_pts[1] */ + secp256k1_effective_nonce(&rj, nonce_pts, &session_i.noncecoef); + + if (!secp256k1_pubkey_load(ctx, &pkp, pubkey)) { + return 0; + } + if (!secp256k1_keyagg_cache_load(ctx, &cache_i, keyagg_cache)) { + return 0; + } + /* Multiplying the challenge by the KeyAgg coefficient is equivalent + * to multiplying the signer's public key by the coefficient, except + * much easier to do. */ + secp256k1_musig_keyaggcoef(&mu, &cache_i, &pkp); + secp256k1_scalar_mul(&e, &session_i.challenge, &mu); + + /* Negate e if secp256k1_fe_is_odd(&cache_i.pk.y)) XOR cache_i.parity_acc. + * This corresponds to the line "Let g' = g⋅gacc mod n" and the multiplication "g'⋅e" + * in the specification. */ + if (secp256k1_fe_is_odd(&cache_i.pk.y) + != cache_i.parity_acc) { + secp256k1_scalar_negate(&e, &e); + } + + if (!secp256k1_musig_partial_sig_load(ctx, &s, partial_sig)) { + return 0; + } + /* Compute -s*G + e*pkj + rj (e already includes the keyagg coefficient mu) */ + secp256k1_scalar_negate(&s, &s); + secp256k1_gej_set_ge(&pkj, &pkp); + secp256k1_ecmult(&tmp, &pkj, &e, &s); + if (session_i.fin_nonce_parity) { + secp256k1_gej_neg(&rj, &rj); + } + secp256k1_gej_add_var(&tmp, &tmp, &rj, NULL); + + return secp256k1_gej_is_infinity(&tmp); +} + +int secp256k1_musig_partial_sig_agg(const secp256k1_context* ctx, unsigned char *sig64, const secp256k1_musig_session *session, const secp256k1_musig_partial_sig * const* partial_sigs, size_t n_sigs) { + size_t i; + secp256k1_musig_session_internal session_i; + + VERIFY_CHECK(ctx != NULL); + ARG_CHECK(sig64 != NULL); + ARG_CHECK(session != NULL); + ARG_CHECK(partial_sigs != NULL); + ARG_CHECK(n_sigs > 0); + for (i = 0; i < n_sigs; i++) { + ARG_CHECK(partial_sigs[i] != NULL); + } + + if (!secp256k1_musig_session_load(ctx, &session_i, session)) { + return 0; + } + for (i = 0; i < n_sigs; i++) { + secp256k1_scalar term; + if (!secp256k1_musig_partial_sig_load(ctx, &term, partial_sigs[i])) { + return 0; + } + secp256k1_scalar_add(&session_i.s_part, &session_i.s_part, &term); + } + secp256k1_scalar_get_b32(&sig64[32], &session_i.s_part); + memcpy(&sig64[0], session_i.fin_nonce, 32); + return 1; +} + +#endif diff --git a/src/modules/musig/tests_impl.h b/src/modules/musig/tests_impl.h new file mode 100644 index 0000000000..de09c5e280 --- /dev/null +++ b/src/modules/musig/tests_impl.h @@ -0,0 +1,1159 @@ +/*********************************************************************** + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ + +#ifndef SECP256K1_MODULE_MUSIG_TESTS_IMPL_H +#define SECP256K1_MODULE_MUSIG_TESTS_IMPL_H + +#include +#include + +#include "../../../include/secp256k1.h" +#include "../../../include/secp256k1_extrakeys.h" +#include "../../../include/secp256k1_musig.h" + +#include "session.h" +#include "keyagg.h" +#include "../../scalar.h" +#include "../../field.h" +#include "../../group.h" +#include "../../hash.h" +#include "../../util.h" +#include "../../unit_test.h" + +#include "vectors.h" + +static int create_keypair_and_pk(secp256k1_keypair *keypair, secp256k1_pubkey *pk, const unsigned char *sk) { + int ret; + secp256k1_keypair keypair_tmp; + ret = secp256k1_keypair_create(CTX, &keypair_tmp, sk); + ret &= secp256k1_keypair_pub(CTX, pk, &keypair_tmp); + if (keypair != NULL) { + *keypair = keypair_tmp; + } + return ret; +} + +/* Just a simple (non-tweaked) 2-of-2 MuSig aggregate, sign, verify + * test. */ +static void musig_simple_test_internal(void) { + unsigned char sk[2][32]; + secp256k1_keypair keypair[2]; + secp256k1_musig_pubnonce pubnonce[2]; + const secp256k1_musig_pubnonce *pubnonce_ptr[2]; + secp256k1_musig_aggnonce aggnonce; + unsigned char msg[32]; + secp256k1_xonly_pubkey agg_pk; + secp256k1_musig_keyagg_cache keyagg_cache; + unsigned char session_secrand[2][32]; + secp256k1_musig_secnonce secnonce[2]; + secp256k1_pubkey pk[2]; + const secp256k1_pubkey *pk_ptr[2]; + secp256k1_musig_partial_sig partial_sig[2]; + const secp256k1_musig_partial_sig *partial_sig_ptr[2]; + unsigned char final_sig[64]; + secp256k1_musig_session session; + int i; + + testrand256(msg); + for (i = 0; i < 2; i++) { + testrand256(sk[i]); + pk_ptr[i] = &pk[i]; + pubnonce_ptr[i] = &pubnonce[i]; + partial_sig_ptr[i] = &partial_sig[i]; + + CHECK(create_keypair_and_pk(&keypair[i], &pk[i], sk[i])); + if (i == 0) { + testrand256(session_secrand[i]); + CHECK(secp256k1_musig_nonce_gen(CTX, &secnonce[i], &pubnonce[i], session_secrand[i], sk[i], &pk[i], NULL, NULL, NULL) == 1); + } else { + uint64_t nonrepeating_cnt = 0; + CHECK(secp256k1_musig_nonce_gen_counter(CTX, &secnonce[i], &pubnonce[i], nonrepeating_cnt, &keypair[i], NULL, NULL, NULL) == 1); + } + } + + CHECK(secp256k1_musig_pubkey_agg(CTX, &agg_pk, &keyagg_cache, pk_ptr, 2) == 1); + CHECK(secp256k1_musig_nonce_agg(CTX, &aggnonce, pubnonce_ptr, 2) == 1); + CHECK(secp256k1_musig_nonce_process(CTX, &session, &aggnonce, msg, &keyagg_cache) == 1); + + for (i = 0; i < 2; i++) { + CHECK(secp256k1_musig_partial_sign(CTX, &partial_sig[i], &secnonce[i], &keypair[i], &keyagg_cache, &session) == 1); + CHECK(secp256k1_musig_partial_sig_verify(CTX, &partial_sig[i], &pubnonce[i], &pk[i], &keyagg_cache, &session) == 1); + } + + CHECK(secp256k1_musig_partial_sig_agg(CTX, final_sig, &session, partial_sig_ptr, 2) == 1); + CHECK(secp256k1_schnorrsig_verify(CTX, final_sig, msg, sizeof(msg), &agg_pk) == 1); +} + +/* Generate two pubnonces such that both group elements of their sum (calculated + * with secp256k1_musig_sum_pubnonces) are infinity. */ +static void pubnonce_summing_to_inf(secp256k1_musig_pubnonce *pubnonce) { + secp256k1_ge ge[2]; + int i; + secp256k1_gej summed_pubnonces[2]; + const secp256k1_musig_pubnonce *pubnonce_ptr[2]; + + testutil_random_ge_test(&ge[0]); + testutil_random_ge_test(&ge[1]); + + for (i = 0; i < 2; i++) { + secp256k1_musig_pubnonce_save(&pubnonce[i], ge); + pubnonce_ptr[i] = &pubnonce[i]; + secp256k1_ge_neg(&ge[0], &ge[0]); + secp256k1_ge_neg(&ge[1], &ge[1]); + } + + secp256k1_musig_sum_pubnonces(CTX, summed_pubnonces, pubnonce_ptr, 2); + CHECK(secp256k1_gej_is_infinity(&summed_pubnonces[0])); + CHECK(secp256k1_gej_is_infinity(&summed_pubnonces[1])); +} + +int memcmp_and_randomize(unsigned char *value, const unsigned char *expected, size_t len) { + int ret; + size_t i; + ret = secp256k1_memcmp_var(value, expected, len); + for (i = 0; i < len; i++) { + value[i] = testrand_bits(8); + } + return ret; +} + +static void musig_api_tests(void) { + secp256k1_musig_partial_sig partial_sig[2]; + const secp256k1_musig_partial_sig *partial_sig_ptr[2]; + secp256k1_musig_partial_sig invalid_partial_sig; + const secp256k1_musig_partial_sig *invalid_partial_sig_ptr[2]; + unsigned char pre_sig[64]; + unsigned char buf[32]; + unsigned char sk[2][32]; + secp256k1_keypair keypair[2]; + secp256k1_keypair invalid_keypair; + unsigned char max64[64]; + unsigned char zeros132[132] = { 0 }; + unsigned char session_secrand[2][32]; + unsigned char nonrepeating_cnt = 0; + secp256k1_musig_secnonce secnonce[2]; + secp256k1_musig_secnonce secnonce_tmp; + secp256k1_musig_secnonce invalid_secnonce; + secp256k1_musig_pubnonce pubnonce[2]; + const secp256k1_musig_pubnonce *pubnonce_ptr[2]; + unsigned char pubnonce_ser[66]; + secp256k1_musig_pubnonce inf_pubnonce[2]; + const secp256k1_musig_pubnonce *inf_pubnonce_ptr[2]; + secp256k1_musig_pubnonce invalid_pubnonce; + const secp256k1_musig_pubnonce *invalid_pubnonce_ptr[1]; + secp256k1_musig_aggnonce aggnonce; + unsigned char aggnonce_ser[66]; + unsigned char msg[32]; + secp256k1_xonly_pubkey agg_pk; + secp256k1_pubkey full_agg_pk; + secp256k1_musig_keyagg_cache keyagg_cache; + secp256k1_musig_keyagg_cache invalid_keyagg_cache; + secp256k1_musig_session session; + secp256k1_musig_session invalid_session; + secp256k1_pubkey pk[2]; + const secp256k1_pubkey *pk_ptr[2]; + secp256k1_pubkey invalid_pk; + const secp256k1_pubkey *invalid_pk_ptr2[2]; + const secp256k1_pubkey *invalid_pk_ptr3[3]; + unsigned char tweak[32]; + int i; + + /** setup **/ + memset(max64, 0xff, sizeof(max64)); + memset(&invalid_keypair, 0, sizeof(invalid_keypair)); + memset(&invalid_pk, 0, sizeof(invalid_pk)); + memset(&invalid_secnonce, 0, sizeof(invalid_secnonce)); + memset(&invalid_partial_sig, 0, sizeof(invalid_partial_sig)); + pubnonce_summing_to_inf(inf_pubnonce); + /* Simulate structs being uninitialized by setting it to 0s. We don't want + * to produce undefined behavior by actually providing uninitialized + * structs. */ + memset(&invalid_keyagg_cache, 0, sizeof(invalid_keyagg_cache)); + memset(&invalid_pk, 0, sizeof(invalid_pk)); + memset(&invalid_pubnonce, 0, sizeof(invalid_pubnonce)); + memset(&invalid_session, 0, sizeof(invalid_session)); + + testrand256(msg); + testrand256(tweak); + for (i = 0; i < 2; i++) { + pk_ptr[i] = &pk[i]; + invalid_pk_ptr2[i] = &invalid_pk; + invalid_pk_ptr3[i] = &pk[i]; + pubnonce_ptr[i] = &pubnonce[i]; + inf_pubnonce_ptr[i] = &inf_pubnonce[i]; + partial_sig_ptr[i] = &partial_sig[i]; + invalid_partial_sig_ptr[i] = &partial_sig[i]; + testrand256(session_secrand[i]); + testrand256(sk[i]); + CHECK(create_keypair_and_pk(&keypair[i], &pk[i], sk[i])); + } + invalid_pubnonce_ptr[0] = &invalid_pubnonce; + invalid_partial_sig_ptr[0] = &invalid_partial_sig; + /* invalid_pk_ptr3 has two valid, one invalid pk, which is important to test + * musig_pubkey_agg */ + invalid_pk_ptr3[2] = &invalid_pk; + + /** main test body **/ + + /** Key aggregation **/ + CHECK(secp256k1_musig_pubkey_agg(CTX, &agg_pk, &keyagg_cache, pk_ptr, 2) == 1); + CHECK(secp256k1_musig_pubkey_agg(CTX, NULL, &keyagg_cache, pk_ptr, 2) == 1); + CHECK(secp256k1_musig_pubkey_agg(CTX, &agg_pk, NULL, pk_ptr, 2) == 1); + /* check that NULL in array of public key pointers is not allowed */ + for (i = 0; i < 2; i++) { + const secp256k1_pubkey *original_ptr = pk_ptr[i]; + pk_ptr[i] = NULL; + CHECK_ILLEGAL(CTX, secp256k1_musig_pubkey_agg(CTX, &agg_pk, NULL, pk_ptr, 2)); + pk_ptr[i] = original_ptr; + } + CHECK_ILLEGAL(CTX, secp256k1_musig_pubkey_agg(CTX, &agg_pk, &keyagg_cache, NULL, 2)); + CHECK(memcmp_and_randomize(agg_pk.data, zeros132, sizeof(agg_pk.data)) == 0); + CHECK_ILLEGAL(CTX, secp256k1_musig_pubkey_agg(CTX, &agg_pk, &keyagg_cache, invalid_pk_ptr2, 2)); + CHECK(memcmp_and_randomize(agg_pk.data, zeros132, sizeof(agg_pk.data)) == 0); + CHECK_ILLEGAL(CTX, secp256k1_musig_pubkey_agg(CTX, &agg_pk, &keyagg_cache, invalid_pk_ptr3, 3)); + CHECK(memcmp_and_randomize(agg_pk.data, zeros132, sizeof(agg_pk.data)) == 0); + CHECK_ILLEGAL(CTX, secp256k1_musig_pubkey_agg(CTX, &agg_pk, &keyagg_cache, pk_ptr, 0)); + CHECK(memcmp_and_randomize(agg_pk.data, zeros132, sizeof(agg_pk.data)) == 0); + CHECK_ILLEGAL(CTX, secp256k1_musig_pubkey_agg(CTX, &agg_pk, &keyagg_cache, NULL, 0)); + CHECK(memcmp_and_randomize(agg_pk.data, zeros132, sizeof(agg_pk.data)) == 0); + + CHECK(secp256k1_musig_pubkey_agg(CTX, &agg_pk, &keyagg_cache, pk_ptr, 2) == 1); + + /* pubkey_get */ + CHECK(secp256k1_musig_pubkey_get(CTX, &full_agg_pk, &keyagg_cache) == 1); + CHECK_ILLEGAL(CTX, secp256k1_musig_pubkey_get(CTX, NULL, &keyagg_cache)); + CHECK_ILLEGAL(CTX, secp256k1_musig_pubkey_get(CTX, &full_agg_pk, NULL)); + CHECK(secp256k1_memcmp_var(&full_agg_pk, zeros132, sizeof(full_agg_pk)) == 0); + + /** Tweaking **/ + { + int (*tweak_func[2]) (const secp256k1_context* ctx, secp256k1_pubkey *output_pubkey, secp256k1_musig_keyagg_cache *keyagg_cache, const unsigned char *tweak32); + tweak_func[0] = secp256k1_musig_pubkey_ec_tweak_add; + tweak_func[1] = secp256k1_musig_pubkey_xonly_tweak_add; + for (i = 0; i < 2; i++) { + secp256k1_pubkey tmp_output_pk; + secp256k1_musig_keyagg_cache tmp_keyagg_cache = keyagg_cache; + CHECK((*tweak_func[i])(CTX, &tmp_output_pk, &tmp_keyagg_cache, tweak) == 1); + /* Reset keyagg_cache */ + tmp_keyagg_cache = keyagg_cache; + CHECK((*tweak_func[i])(CTX, NULL, &tmp_keyagg_cache, tweak) == 1); + tmp_keyagg_cache = keyagg_cache; + CHECK_ILLEGAL(CTX, (*tweak_func[i])(CTX, &tmp_output_pk, NULL, tweak)); + CHECK(memcmp_and_randomize(tmp_output_pk.data, zeros132, sizeof(tmp_output_pk.data)) == 0); + tmp_keyagg_cache = keyagg_cache; + CHECK_ILLEGAL(CTX, (*tweak_func[i])(CTX, &tmp_output_pk, &tmp_keyagg_cache, NULL)); + CHECK(memcmp_and_randomize(tmp_output_pk.data, zeros132, sizeof(tmp_output_pk.data)) == 0); + tmp_keyagg_cache = keyagg_cache; + CHECK((*tweak_func[i])(CTX, &tmp_output_pk, &tmp_keyagg_cache, max64) == 0); + CHECK(memcmp_and_randomize(tmp_output_pk.data, zeros132, sizeof(tmp_output_pk.data)) == 0); + tmp_keyagg_cache = keyagg_cache; + /* Uninitialized keyagg_cache */ + CHECK_ILLEGAL(CTX, (*tweak_func[i])(CTX, &tmp_output_pk, &invalid_keyagg_cache, tweak)); + CHECK(memcmp_and_randomize(tmp_output_pk.data, zeros132, sizeof(tmp_output_pk.data)) == 0); + } + } + + /** Session creation with nonce_gen **/ + CHECK(secp256k1_musig_nonce_gen(CTX, &secnonce[0], &pubnonce[0], session_secrand[0], sk[0], &pk[0], msg, &keyagg_cache, max64) == 1); + /* nonce_gen, if successful, sets session_secrand to the zero array, which + * makes subsequent nonce_gen calls with the same session_secrand fail. So + * check that session_secrand is indeed the zero array and fill it with + * random values again. */ + CHECK(memcmp_and_randomize(session_secrand[0], zeros132, sizeof(session_secrand[0])) == 0); + + CHECK_ILLEGAL(STATIC_CTX, secp256k1_musig_nonce_gen(STATIC_CTX, &secnonce[0], &pubnonce[0], session_secrand[0], sk[0], &pk[0], msg, &keyagg_cache, max64)); + CHECK(memcmp_and_randomize(secnonce[0].data, zeros132, sizeof(secnonce[0].data)) == 0); + + CHECK_ILLEGAL(CTX, secp256k1_musig_nonce_gen(CTX, NULL, &pubnonce[0], session_secrand[0], sk[0], &pk[0], msg, &keyagg_cache, max64)); + + CHECK_ILLEGAL(CTX, secp256k1_musig_nonce_gen(CTX, &secnonce[0], NULL, session_secrand[0], sk[0], &pk[0], msg, &keyagg_cache, max64)); + CHECK(memcmp_and_randomize(secnonce[0].data, zeros132, sizeof(secnonce[0].data)) == 0); + + CHECK_ILLEGAL(CTX, secp256k1_musig_nonce_gen(CTX, &secnonce[0], &pubnonce[0], NULL, sk[0], &pk[0], msg, &keyagg_cache, max64)); + CHECK(memcmp_and_randomize(secnonce[0].data, zeros132, sizeof(secnonce[0].data)) == 0); + + /* session_secrand = 0 is disallowed because it indicates a faulty RNG */ + memcpy(&session_secrand[0], zeros132, sizeof(session_secrand[0])); + CHECK(secp256k1_musig_nonce_gen(CTX, &secnonce[0], &pubnonce[0], zeros132, sk[0], &pk[0], msg, &keyagg_cache, max64) == 0); + CHECK(memcmp_and_randomize(session_secrand[0], zeros132, sizeof(session_secrand[0])) == 0); + CHECK(memcmp_and_randomize(secnonce[0].data, zeros132, sizeof(secnonce[0].data)) == 0); + + CHECK(secp256k1_musig_nonce_gen(CTX, &secnonce[0], &pubnonce[0], session_secrand[0], NULL, &pk[0], msg, &keyagg_cache, max64) == 1); + CHECK(memcmp_and_randomize(session_secrand[0], zeros132, sizeof(session_secrand[0])) == 0); + + /* invalid seckey */ + CHECK(secp256k1_musig_nonce_gen(CTX, &secnonce[0], &pubnonce[0], session_secrand[0], max64, &pk[0], msg, &keyagg_cache, max64) == 0); + CHECK(memcmp_and_randomize(secnonce[0].data, zeros132, sizeof(secnonce[0].data)) == 0); + + CHECK_ILLEGAL(CTX, secp256k1_musig_nonce_gen(CTX, &secnonce[0], &pubnonce[0], session_secrand[0], sk[0], NULL, msg, &keyagg_cache, max64)); + CHECK(memcmp_and_randomize(secnonce[0].data, zeros132, sizeof(secnonce[0].data)) == 0); + + CHECK_ILLEGAL(CTX, secp256k1_musig_nonce_gen(CTX, &secnonce[0], &pubnonce[0], session_secrand[0], sk[0], &invalid_pk, msg, &keyagg_cache, max64)); + CHECK(memcmp_and_randomize(secnonce[0].data, zeros132, sizeof(secnonce[0].data)) == 0); + + CHECK(secp256k1_musig_nonce_gen(CTX, &secnonce[0], &pubnonce[0], session_secrand[0], sk[0], &pk[0], NULL, &keyagg_cache, max64) == 1); + CHECK(memcmp_and_randomize(session_secrand[0], zeros132, sizeof(session_secrand[0])) == 0); + + CHECK(secp256k1_musig_nonce_gen(CTX, &secnonce[0], &pubnonce[0], session_secrand[0], sk[0], &pk[0], msg, NULL, max64) == 1); + CHECK(memcmp_and_randomize(session_secrand[0], zeros132, sizeof(session_secrand[0])) == 0); + + CHECK_ILLEGAL(CTX, secp256k1_musig_nonce_gen(CTX, &secnonce[0], &pubnonce[0], session_secrand[0], sk[0], &pk[0], msg, &invalid_keyagg_cache, max64)); + CHECK(memcmp_and_randomize(secnonce[0].data, zeros132, sizeof(secnonce[0].data)) == 0); + + CHECK(secp256k1_musig_nonce_gen(CTX, &secnonce[0], &pubnonce[0], session_secrand[0], sk[0], &pk[0], msg, &keyagg_cache, NULL) == 1); + CHECK(memcmp_and_randomize(session_secrand[0], zeros132, sizeof(session_secrand[0])) == 0); + + /* Every in-argument except session_secrand and pubkey can be NULL */ + CHECK(secp256k1_musig_nonce_gen(CTX, &secnonce[0], &pubnonce[0], session_secrand[0], NULL, &pk[0], NULL, NULL, NULL) == 1); + CHECK(secp256k1_musig_nonce_gen(CTX, &secnonce[1], &pubnonce[1], session_secrand[1], sk[1], &pk[1], NULL, NULL, NULL) == 1); + + /** Session creation with nonce_gen_counter **/ + CHECK(secp256k1_musig_nonce_gen_counter(CTX, &secnonce[0], &pubnonce[0], nonrepeating_cnt, &keypair[0], msg, &keyagg_cache, max64) == 1); + CHECK_ILLEGAL(STATIC_CTX, secp256k1_musig_nonce_gen_counter(STATIC_CTX, &secnonce[0], &pubnonce[0], nonrepeating_cnt, &keypair[0], msg, &keyagg_cache, max64)); + CHECK(memcmp_and_randomize(secnonce[0].data, zeros132, sizeof(secnonce[0].data)) == 0); + CHECK_ILLEGAL(CTX, secp256k1_musig_nonce_gen_counter(CTX, NULL, &pubnonce[0], nonrepeating_cnt, &keypair[0], msg, &keyagg_cache, max64)); + CHECK_ILLEGAL(CTX, secp256k1_musig_nonce_gen_counter(CTX, &secnonce[0], NULL, nonrepeating_cnt, &keypair[0], msg, &keyagg_cache, max64)); + CHECK(memcmp_and_randomize(secnonce[0].data, zeros132, sizeof(secnonce[0].data)) == 0); + /* using nonce_gen_counter requires keypair */ + CHECK_ILLEGAL(CTX, secp256k1_musig_nonce_gen_counter(CTX, &secnonce[0], &pubnonce[0], nonrepeating_cnt, NULL, msg, &keyagg_cache, max64)); + CHECK(memcmp_and_randomize(secnonce[0].data, zeros132, sizeof(secnonce[0].data)) == 0); + /* invalid keypair */ + CHECK_ILLEGAL(CTX, secp256k1_musig_nonce_gen_counter(CTX, &secnonce[0], &pubnonce[0], nonrepeating_cnt, &invalid_keypair, msg, &keyagg_cache, max64)); + CHECK(memcmp_and_randomize(secnonce[0].data, zeros132, sizeof(secnonce[0].data)) == 0); + CHECK(secp256k1_musig_nonce_gen_counter(CTX, &secnonce[0], &pubnonce[0], nonrepeating_cnt, &keypair[0], NULL, &keyagg_cache, max64) == 1); + CHECK(secp256k1_musig_nonce_gen_counter(CTX, &secnonce[0], &pubnonce[0], nonrepeating_cnt, &keypair[0], msg, NULL, max64) == 1); + CHECK_ILLEGAL(CTX, secp256k1_musig_nonce_gen_counter(CTX, &secnonce[0], &pubnonce[0], nonrepeating_cnt, &keypair[0], msg, &invalid_keyagg_cache, max64)); + CHECK(memcmp_and_randomize(secnonce[0].data, zeros132, sizeof(secnonce[0].data)) == 0); + CHECK(secp256k1_musig_nonce_gen_counter(CTX, &secnonce[0], &pubnonce[0], nonrepeating_cnt,&keypair[0], msg, &keyagg_cache, NULL) == 1); + + /* Every in-argument except nonrepeating_cnt and keypair can be NULL */ + CHECK(secp256k1_musig_nonce_gen_counter(CTX, &secnonce[0], &pubnonce[0], nonrepeating_cnt, &keypair[0], NULL, NULL, NULL) == 1); + CHECK(secp256k1_musig_nonce_gen_counter(CTX, &secnonce[1], &pubnonce[1], nonrepeating_cnt, &keypair[1], NULL, NULL, NULL) == 1); + + + /** Serialize and parse public nonces **/ + CHECK_ILLEGAL(CTX, secp256k1_musig_pubnonce_serialize(CTX, NULL, &pubnonce[0])); + CHECK_ILLEGAL(CTX, secp256k1_musig_pubnonce_serialize(CTX, pubnonce_ser, NULL)); + CHECK(memcmp_and_randomize(pubnonce_ser, zeros132, sizeof(pubnonce_ser)) == 0); + CHECK_ILLEGAL(CTX, secp256k1_musig_pubnonce_serialize(CTX, pubnonce_ser, &invalid_pubnonce)); + CHECK(memcmp_and_randomize(pubnonce_ser, zeros132, sizeof(pubnonce_ser)) == 0); + CHECK(secp256k1_musig_pubnonce_serialize(CTX, pubnonce_ser, &pubnonce[0]) == 1); + + CHECK(secp256k1_musig_pubnonce_parse(CTX, &pubnonce[0], pubnonce_ser) == 1); + CHECK_ILLEGAL(CTX, secp256k1_musig_pubnonce_parse(CTX, NULL, pubnonce_ser)); + CHECK_ILLEGAL(CTX, secp256k1_musig_pubnonce_parse(CTX, &pubnonce[0], NULL)); + CHECK(secp256k1_musig_pubnonce_parse(CTX, &pubnonce[0], zeros132) == 0); + CHECK(secp256k1_musig_pubnonce_parse(CTX, &pubnonce[0], pubnonce_ser) == 1); + + { + /* Check that serialize and parse results in the same value */ + secp256k1_musig_pubnonce tmp; + CHECK(secp256k1_musig_pubnonce_serialize(CTX, pubnonce_ser, &pubnonce[0]) == 1); + CHECK(secp256k1_musig_pubnonce_parse(CTX, &tmp, pubnonce_ser) == 1); + CHECK(secp256k1_memcmp_var(&tmp, &pubnonce[0], sizeof(tmp)) == 0); + } + + /** Receive nonces and aggregate **/ + CHECK(secp256k1_musig_nonce_agg(CTX, &aggnonce, pubnonce_ptr, 2) == 1); + /* check that NULL in array of public nonce pointers is not allowed */ + for (i = 0; i < 2; i++) { + const secp256k1_musig_pubnonce *original_ptr = pubnonce_ptr[i]; + pubnonce_ptr[i] = NULL; + CHECK_ILLEGAL(CTX, secp256k1_musig_nonce_agg(CTX, &aggnonce, pubnonce_ptr, 2)); + pubnonce_ptr[i] = original_ptr; + } + CHECK_ILLEGAL(CTX, secp256k1_musig_nonce_agg(CTX, NULL, pubnonce_ptr, 2)); + CHECK_ILLEGAL(CTX, secp256k1_musig_nonce_agg(CTX, &aggnonce, NULL, 2)); + CHECK_ILLEGAL(CTX, secp256k1_musig_nonce_agg(CTX, &aggnonce, pubnonce_ptr, 0)); + CHECK_ILLEGAL(CTX, secp256k1_musig_nonce_agg(CTX, &aggnonce, invalid_pubnonce_ptr, 1)); + CHECK(secp256k1_musig_nonce_agg(CTX, &aggnonce, inf_pubnonce_ptr, 2) == 1); + { + /* Check that the aggnonce encodes two points at infinity */ + secp256k1_ge aggnonce_pt[2]; + secp256k1_musig_aggnonce_load(CTX, aggnonce_pt, &aggnonce); + for (i = 0; i < 2; i++) { + secp256k1_ge_is_infinity(&aggnonce_pt[i]); + } + } + CHECK(secp256k1_musig_nonce_agg(CTX, &aggnonce, pubnonce_ptr, 2) == 1); + + /** Serialize and parse aggregate nonces **/ + CHECK(secp256k1_musig_aggnonce_serialize(CTX, aggnonce_ser, &aggnonce) == 1); + CHECK_ILLEGAL(CTX, secp256k1_musig_aggnonce_serialize(CTX, NULL, &aggnonce)); + CHECK_ILLEGAL(CTX, secp256k1_musig_aggnonce_serialize(CTX, aggnonce_ser, NULL)); + CHECK(memcmp_and_randomize(aggnonce_ser, zeros132, sizeof(aggnonce_ser)) == 0); + CHECK_ILLEGAL(CTX, secp256k1_musig_aggnonce_serialize(CTX, aggnonce_ser, (secp256k1_musig_aggnonce*) &invalid_pubnonce)); + CHECK(memcmp_and_randomize(aggnonce_ser, zeros132, sizeof(aggnonce_ser)) == 0); + CHECK(secp256k1_musig_aggnonce_serialize(CTX, aggnonce_ser, &aggnonce) == 1); + + CHECK(secp256k1_musig_aggnonce_parse(CTX, &aggnonce, aggnonce_ser) == 1); + CHECK_ILLEGAL(CTX, secp256k1_musig_aggnonce_parse(CTX, NULL, aggnonce_ser)); + CHECK_ILLEGAL(CTX, secp256k1_musig_aggnonce_parse(CTX, &aggnonce, NULL)); + CHECK(secp256k1_musig_aggnonce_parse(CTX, &aggnonce, zeros132) == 1); + CHECK(secp256k1_musig_aggnonce_parse(CTX, &aggnonce, aggnonce_ser) == 1); + + { + /* Check that serialize and parse results in the same value */ + secp256k1_musig_aggnonce tmp; + CHECK(secp256k1_musig_aggnonce_serialize(CTX, aggnonce_ser, &aggnonce) == 1); + CHECK(secp256k1_musig_aggnonce_parse(CTX, &tmp, aggnonce_ser) == 1); + CHECK(secp256k1_memcmp_var(&tmp, &aggnonce, sizeof(tmp)) == 0); + } + + /** Process nonces **/ + CHECK(secp256k1_musig_nonce_process(CTX, &session, &aggnonce, msg, &keyagg_cache) == 1); + CHECK_ILLEGAL(CTX, secp256k1_musig_nonce_process(CTX, NULL, &aggnonce, msg, &keyagg_cache)); + CHECK_ILLEGAL(CTX, secp256k1_musig_nonce_process(CTX, &session, NULL, msg, &keyagg_cache)); + CHECK_ILLEGAL(CTX, secp256k1_musig_nonce_process(CTX, &session, (secp256k1_musig_aggnonce*) &invalid_pubnonce, msg, &keyagg_cache)); + CHECK_ILLEGAL(CTX, secp256k1_musig_nonce_process(CTX, &session, &aggnonce, NULL, &keyagg_cache)); + CHECK_ILLEGAL(CTX, secp256k1_musig_nonce_process(CTX, &session, &aggnonce, msg, NULL)); + CHECK_ILLEGAL(CTX, secp256k1_musig_nonce_process(CTX, &session, &aggnonce, msg, &invalid_keyagg_cache)); + + CHECK(secp256k1_musig_nonce_process(CTX, &session, &aggnonce, msg, &keyagg_cache) == 1); + + memcpy(&secnonce_tmp, &secnonce[0], sizeof(secnonce_tmp)); + CHECK(secp256k1_musig_partial_sign(CTX, &partial_sig[0], &secnonce_tmp, &keypair[0], &keyagg_cache, &session) == 1); + /* The secnonce is set to 0 and subsequent signing attempts fail */ + CHECK(secp256k1_memcmp_var(&secnonce_tmp, zeros132, sizeof(secnonce_tmp)) == 0); + CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sign(CTX, &partial_sig[0], &secnonce_tmp, &keypair[0], &keyagg_cache, &session)); + memcpy(&secnonce_tmp, &secnonce[0], sizeof(secnonce_tmp)); + CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sign(CTX, NULL, &secnonce_tmp, &keypair[0], &keyagg_cache, &session)); + memcpy(&secnonce_tmp, &secnonce[0], sizeof(secnonce_tmp)); + CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sign(CTX, &partial_sig[0], NULL, &keypair[0], &keyagg_cache, &session)); + CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sign(CTX, &partial_sig[0], &invalid_secnonce, &keypair[0], &keyagg_cache, &session)); + CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sign(CTX, &partial_sig[0], &secnonce_tmp, NULL, &keyagg_cache, &session)); + memcpy(&secnonce_tmp, &secnonce[0], sizeof(secnonce_tmp)); + CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sign(CTX, &partial_sig[0], &secnonce_tmp, &invalid_keypair, &keyagg_cache, &session)); + memcpy(&secnonce_tmp, &secnonce[0], sizeof(secnonce_tmp)); + { + unsigned char sk_tmp[32]; + secp256k1_keypair keypair_tmp; + testrand256(sk_tmp); + CHECK(secp256k1_keypair_create(CTX, &keypair_tmp, sk_tmp)); + CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sign(CTX, &partial_sig[0], &secnonce_tmp, &keypair_tmp, &keyagg_cache, &session)); + memcpy(&secnonce_tmp, &secnonce[0], sizeof(secnonce_tmp)); + } + CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sign(CTX, &partial_sig[0], &secnonce_tmp, &keypair[0], NULL, &session)); + memcpy(&secnonce_tmp, &secnonce[0], sizeof(secnonce_tmp)); + CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sign(CTX, &partial_sig[0], &secnonce_tmp, &keypair[0], &invalid_keyagg_cache, &session)); + memcpy(&secnonce_tmp, &secnonce[0], sizeof(secnonce_tmp)); + CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sign(CTX, &partial_sig[0], &secnonce_tmp, &keypair[0], &keyagg_cache, NULL)); + memcpy(&secnonce_tmp, &secnonce[0], sizeof(secnonce_tmp)); + CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sign(CTX, &partial_sig[0], &secnonce_tmp, &keypair[0], &keyagg_cache, &invalid_session)); + memcpy(&secnonce_tmp, &secnonce[0], sizeof(secnonce_tmp)); + + CHECK(secp256k1_musig_partial_sign(CTX, &partial_sig[0], &secnonce[0], &keypair[0], &keyagg_cache, &session) == 1); + CHECK(secp256k1_musig_partial_sign(CTX, &partial_sig[1], &secnonce[1], &keypair[1], &keyagg_cache, &session) == 1); + + CHECK(secp256k1_musig_partial_sig_serialize(CTX, buf, &partial_sig[0]) == 1); + CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sig_serialize(CTX, NULL, &partial_sig[0])); + CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sig_serialize(CTX, buf, NULL)); + CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sig_serialize(CTX, buf, &invalid_partial_sig)); + CHECK(secp256k1_musig_partial_sig_parse(CTX, &partial_sig[0], buf) == 1); + CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sig_parse(CTX, NULL, buf)); + { + /* Check that parsing failure results in an invalid sig */ + secp256k1_musig_partial_sig tmp; + CHECK(secp256k1_musig_partial_sig_parse(CTX, &tmp, max64) == 0); + CHECK(secp256k1_memcmp_var(&tmp, zeros132, sizeof(partial_sig[0])) == 0); + } + CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sig_parse(CTX, &partial_sig[0], NULL)); + + { + /* Check that serialize and parse results in the same value */ + secp256k1_musig_partial_sig tmp; + CHECK(secp256k1_musig_partial_sig_serialize(CTX, buf, &partial_sig[0]) == 1); + CHECK(secp256k1_musig_partial_sig_parse(CTX, &tmp, buf) == 1); + CHECK(secp256k1_memcmp_var(&tmp, &partial_sig[0], sizeof(tmp)) == 0); + } + + /** Partial signature verification */ + CHECK(secp256k1_musig_partial_sig_verify(CTX, &partial_sig[0], &pubnonce[0], &pk[0], &keyagg_cache, &session) == 1); + CHECK(secp256k1_musig_partial_sig_verify(CTX, &partial_sig[1], &pubnonce[0], &pk[0], &keyagg_cache, &session) == 0); + CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sig_verify(CTX, NULL, &pubnonce[0], &pk[0], &keyagg_cache, &session)); + CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sig_verify(CTX, &invalid_partial_sig, &pubnonce[0], &pk[0], &keyagg_cache, &session)); + CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sig_verify(CTX, &partial_sig[0], NULL, &pk[0], &keyagg_cache, &session)); + CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sig_verify(CTX, &partial_sig[0], &invalid_pubnonce, &pk[0], &keyagg_cache, &session)); + CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sig_verify(CTX, &partial_sig[0], &pubnonce[0], NULL, &keyagg_cache, &session)); + CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sig_verify(CTX, &partial_sig[0], &pubnonce[0], &invalid_pk, &keyagg_cache, &session)); + CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sig_verify(CTX, &partial_sig[0], &pubnonce[0], &pk[0], NULL, &session)); + CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sig_verify(CTX, &partial_sig[0], &pubnonce[0], &pk[0], &invalid_keyagg_cache, &session)); + CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sig_verify(CTX, &partial_sig[0], &pubnonce[0], &pk[0], &keyagg_cache, NULL)); + CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sig_verify(CTX, &partial_sig[0], &pubnonce[0], &pk[0], &keyagg_cache, &invalid_session)); + + CHECK(secp256k1_musig_partial_sig_verify(CTX, &partial_sig[0], &pubnonce[0], &pk[0], &keyagg_cache, &session) == 1); + CHECK(secp256k1_musig_partial_sig_verify(CTX, &partial_sig[1], &pubnonce[1], &pk[1], &keyagg_cache, &session) == 1); + + /** Signature aggregation and verification */ + CHECK(secp256k1_musig_partial_sig_agg(CTX, pre_sig, &session, partial_sig_ptr, 2) == 1); + /* check that NULL in array of partial signature pointers is not allowed */ + for (i = 0; i < 2; i++) { + const secp256k1_musig_partial_sig *original_ptr = partial_sig_ptr[i]; + partial_sig_ptr[i] = NULL; + CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sig_agg(CTX, pre_sig, &session, partial_sig_ptr, 2)); + partial_sig_ptr[i] = original_ptr; + } + CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sig_agg(CTX, NULL, &session, partial_sig_ptr, 2)); + CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sig_agg(CTX, pre_sig, NULL, partial_sig_ptr, 2)); + CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sig_agg(CTX, pre_sig, &invalid_session, partial_sig_ptr, 2)); + CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sig_agg(CTX, pre_sig, &session, NULL, 2)); + CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sig_agg(CTX, pre_sig, &session, invalid_partial_sig_ptr, 2)); + CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sig_agg(CTX, pre_sig, &session, partial_sig_ptr, 0)); + CHECK(secp256k1_musig_partial_sig_agg(CTX, pre_sig, &session, partial_sig_ptr, 1) == 1); + CHECK(secp256k1_musig_partial_sig_agg(CTX, pre_sig, &session, partial_sig_ptr, 2) == 1); +} + +static void musig_nonce_bitflip(unsigned char **args, size_t n_flip, size_t n_bytes) { + secp256k1_scalar k1[2], k2[2]; + + secp256k1_nonce_function_musig(k1, args[0], args[1], args[2], args[3], args[4], args[5]); + testrand_flip(args[n_flip], n_bytes); + secp256k1_nonce_function_musig(k2, args[0], args[1], args[2], args[3], args[4], args[5]); + CHECK(secp256k1_scalar_eq(&k1[0], &k2[0]) == 0); + CHECK(secp256k1_scalar_eq(&k1[1], &k2[1]) == 0); +} + +static void musig_nonce_test(void) { + unsigned char *args[6]; + unsigned char session_secrand[32]; + unsigned char sk[32]; + unsigned char pk[33]; + unsigned char msg[32]; + unsigned char agg_pk[32]; + unsigned char extra_input[32]; + int i, j; + secp256k1_scalar k[6][2]; + + testrand_bytes_test(session_secrand, sizeof(session_secrand)); + testrand_bytes_test(sk, sizeof(sk)); + testrand_bytes_test(pk, sizeof(pk)); + testrand_bytes_test(msg, sizeof(msg)); + testrand_bytes_test(agg_pk, sizeof(agg_pk)); + testrand_bytes_test(extra_input, sizeof(extra_input)); + + /* Check that a bitflip in an argument results in different nonces. */ + args[0] = session_secrand; + args[1] = msg; + args[2] = sk; + args[3] = pk; + args[4] = agg_pk; + args[5] = extra_input; + for (i = 0; i < COUNT; i++) { + musig_nonce_bitflip(args, 0, sizeof(session_secrand)); + musig_nonce_bitflip(args, 1, sizeof(msg)); + musig_nonce_bitflip(args, 2, sizeof(sk)); + musig_nonce_bitflip(args, 3, sizeof(pk)); + musig_nonce_bitflip(args, 4, sizeof(agg_pk)); + musig_nonce_bitflip(args, 5, sizeof(extra_input)); + } + /* Check that if any argument is NULL, a different nonce is produced than if + * any other argument is NULL. */ + memcpy(msg, session_secrand, sizeof(msg)); + memcpy(sk, session_secrand, sizeof(sk)); + memcpy(pk, session_secrand, sizeof(session_secrand)); + memcpy(agg_pk, session_secrand, sizeof(agg_pk)); + memcpy(extra_input, session_secrand, sizeof(extra_input)); + secp256k1_nonce_function_musig(k[0], args[0], args[1], args[2], args[3], args[4], args[5]); + secp256k1_nonce_function_musig(k[1], args[0], NULL, args[2], args[3], args[4], args[5]); + secp256k1_nonce_function_musig(k[2], args[0], args[1], NULL, args[3], args[4], args[5]); + secp256k1_nonce_function_musig(k[3], args[0], args[1], args[2], NULL, args[4], args[5]); + secp256k1_nonce_function_musig(k[4], args[0], args[1], args[2], args[3], NULL, args[5]); + secp256k1_nonce_function_musig(k[5], args[0], args[1], args[2], args[3], args[4], NULL); + for (i = 0; i < 6; i++) { + CHECK(!secp256k1_scalar_eq(&k[i][0], &k[i][1])); + for (j = i+1; j < 6; j++) { + CHECK(!secp256k1_scalar_eq(&k[i][0], &k[j][0])); + CHECK(!secp256k1_scalar_eq(&k[i][1], &k[j][1])); + } + } +} + +/* Checks that the initialized tagged hashes have the expected + * state. */ +static void sha256_tag_test(void) { + secp256k1_sha256 sha; + { + /* "KeyAgg list" */ + static const unsigned char tag[] = {'K', 'e', 'y', 'A', 'g', 'g', ' ', 'l', 'i', 's', 't'}; + secp256k1_musig_keyagglist_sha256(&sha); + test_sha256_tag_midstate(&sha, tag, sizeof(tag)); + } + { + /* "KeyAgg coefficient" */ + static const unsigned char tag[] = {'K', 'e', 'y', 'A', 'g', 'g', ' ', 'c', 'o', 'e', 'f', 'f', 'i', 'c', 'i', 'e', 'n', 't'}; + secp256k1_musig_keyaggcoef_sha256(&sha); + test_sha256_tag_midstate(&sha, tag, sizeof(tag)); + } + { + /* "MuSig/aux" */ + static const unsigned char tag[] = { 'M', 'u', 'S', 'i', 'g', '/', 'a', 'u', 'x' }; + secp256k1_nonce_function_musig_sha256_tagged_aux(&sha); + test_sha256_tag_midstate(&sha, tag, sizeof(tag)); + } + { + /* "MuSig/nonce" */ + static const unsigned char tag[] = { 'M', 'u', 'S', 'i', 'g', '/', 'n', 'o', 'n', 'c', 'e' }; + secp256k1_nonce_function_musig_sha256_tagged(&sha); + test_sha256_tag_midstate(&sha, tag, sizeof(tag)); + } + { + /* "MuSig/noncecoef" */ + static const unsigned char tag[] = { 'M', 'u', 'S', 'i', 'g', '/', 'n', 'o', 'n', 'c', 'e', 'c', 'o', 'e', 'f' }; + secp256k1_musig_compute_noncehash_sha256_tagged(&sha); + test_sha256_tag_midstate(&sha, tag, sizeof(tag)); + } +} + +/* Attempts to create a signature for the aggregate public key using given secret + * keys and keyagg_cache. */ +static void musig_tweak_test_helper(const secp256k1_xonly_pubkey* agg_pk, const unsigned char *sk0, const unsigned char *sk1, secp256k1_musig_keyagg_cache *keyagg_cache) { + secp256k1_pubkey pk[2]; + unsigned char session_secrand[2][32]; + unsigned char msg[32]; + secp256k1_musig_secnonce secnonce[2]; + secp256k1_musig_pubnonce pubnonce[2]; + const secp256k1_musig_pubnonce *pubnonce_ptr[2]; + secp256k1_musig_aggnonce aggnonce; + secp256k1_keypair keypair[2]; + secp256k1_musig_session session; + secp256k1_musig_partial_sig partial_sig[2]; + const secp256k1_musig_partial_sig *partial_sig_ptr[2]; + unsigned char final_sig[64]; + int i; + + for (i = 0; i < 2; i++) { + pubnonce_ptr[i] = &pubnonce[i]; + partial_sig_ptr[i] = &partial_sig[i]; + + testrand256(session_secrand[i]); + } + CHECK(create_keypair_and_pk(&keypair[0], &pk[0], sk0) == 1); + CHECK(create_keypair_and_pk(&keypair[1], &pk[1], sk1) == 1); + testrand256(msg); + + CHECK(secp256k1_musig_nonce_gen(CTX, &secnonce[0], &pubnonce[0], session_secrand[0], sk0, &pk[0], NULL, NULL, NULL) == 1); + CHECK(secp256k1_musig_nonce_gen(CTX, &secnonce[1], &pubnonce[1], session_secrand[1], sk1, &pk[1], NULL, NULL, NULL) == 1); + + CHECK(secp256k1_musig_nonce_agg(CTX, &aggnonce, pubnonce_ptr, 2) == 1); + CHECK(secp256k1_musig_nonce_process(CTX, &session, &aggnonce, msg, keyagg_cache) == 1); + + CHECK(secp256k1_musig_partial_sign(CTX, &partial_sig[0], &secnonce[0], &keypair[0], keyagg_cache, &session) == 1); + CHECK(secp256k1_musig_partial_sign(CTX, &partial_sig[1], &secnonce[1], &keypair[1], keyagg_cache, &session) == 1); + + CHECK(secp256k1_musig_partial_sig_verify(CTX, &partial_sig[0], &pubnonce[0], &pk[0], keyagg_cache, &session) == 1); + CHECK(secp256k1_musig_partial_sig_verify(CTX, &partial_sig[1], &pubnonce[1], &pk[1], keyagg_cache, &session) == 1); + + CHECK(secp256k1_musig_partial_sig_agg(CTX, final_sig, &session, partial_sig_ptr, 2) == 1); + CHECK(secp256k1_schnorrsig_verify(CTX, final_sig, msg, sizeof(msg), agg_pk) == 1); +} + +/* Create aggregate public key P[0], tweak multiple times (using xonly and + * plain tweaking) and test signing. */ +static void musig_tweak_test_internal(void) { + unsigned char sk[2][32]; + secp256k1_pubkey pk[2]; + const secp256k1_pubkey *pk_ptr[2]; + secp256k1_musig_keyagg_cache keyagg_cache; + enum { N_TWEAKS = 8 }; + secp256k1_pubkey P[N_TWEAKS + 1]; + secp256k1_xonly_pubkey P_xonly[N_TWEAKS + 1]; + int i; + + /* Key Setup */ + for (i = 0; i < 2; i++) { + pk_ptr[i] = &pk[i]; + testrand256(sk[i]); + CHECK(create_keypair_and_pk(NULL, &pk[i], sk[i]) == 1); + } + /* Compute P0 = keyagg(pk0, pk1) and test signing for it */ + CHECK(secp256k1_musig_pubkey_agg(CTX, &P_xonly[0], &keyagg_cache, pk_ptr, 2) == 1); + musig_tweak_test_helper(&P_xonly[0], sk[0], sk[1], &keyagg_cache); + CHECK(secp256k1_musig_pubkey_get(CTX, &P[0], &keyagg_cache)); + + /* Compute Pi = f(Pj) + tweaki*G where where j = i-1 and try signing for + * that key. If xonly is set to true, the function f normalizes the input + * point to have an even X-coordinate ("xonly-tweaking"). + * Otherwise, the function f is the identity function. */ + for (i = 1; i <= N_TWEAKS; i++) { + unsigned char tweak[32]; + int P_parity; + int xonly = testrand_bits(1); + + testrand256(tweak); + if (xonly) { + CHECK(secp256k1_musig_pubkey_xonly_tweak_add(CTX, &P[i], &keyagg_cache, tweak) == 1); + } else { + CHECK(secp256k1_musig_pubkey_ec_tweak_add(CTX, &P[i], &keyagg_cache, tweak) == 1); + } + CHECK(secp256k1_xonly_pubkey_from_pubkey(CTX, &P_xonly[i], &P_parity, &P[i])); + /* Check that musig_pubkey_tweak_add produces same result as + * xonly_pubkey_tweak_add or ec_pubkey_tweak_add. */ + if (xonly) { + unsigned char P_serialized[32]; + CHECK(secp256k1_xonly_pubkey_serialize(CTX, P_serialized, &P_xonly[i])); + CHECK(secp256k1_xonly_pubkey_tweak_add_check(CTX, P_serialized, P_parity, &P_xonly[i-1], tweak) == 1); + } else { + secp256k1_pubkey tmp_key = P[i-1]; + CHECK(secp256k1_ec_pubkey_tweak_add(CTX, &tmp_key, tweak)); + CHECK(secp256k1_memcmp_var(&tmp_key, &P[i], sizeof(tmp_key)) == 0); + } + /* Test signing for P[i] */ + musig_tweak_test_helper(&P_xonly[i], sk[0], sk[1], &keyagg_cache); + } +} + +int musig_vectors_keyagg_and_tweak(enum MUSIG_ERROR *error, + secp256k1_musig_keyagg_cache *keyagg_cache, + unsigned char *agg_pk_ser, + const unsigned char pubkeys33[][33], + const unsigned char tweaks32[][32], + size_t key_indices_len, + const size_t *key_indices, + size_t tweak_indices_len, + const size_t *tweak_indices, + const int *is_xonly) { + secp256k1_pubkey pubkeys[MUSIG_VECTORS_MAX_PUBKEYS]; + const secp256k1_pubkey *pk_ptr[MUSIG_VECTORS_MAX_PUBKEYS]; + int i; + secp256k1_pubkey agg_pk; + secp256k1_xonly_pubkey agg_pk_xonly; + + for (i = 0; i < (int)key_indices_len; i++) { + if (!secp256k1_ec_pubkey_parse(CTX, &pubkeys[i], pubkeys33[key_indices[i]], 33)) { + *error = MUSIG_PUBKEY; + return 0; + } + pk_ptr[i] = &pubkeys[i]; + } + if (!secp256k1_musig_pubkey_agg(CTX, NULL, keyagg_cache, pk_ptr, key_indices_len)) { + *error = MUSIG_OTHER; + return 0; + } + + for (i = 0; i < (int)tweak_indices_len; i++) { + if (is_xonly[i]) { + if (!secp256k1_musig_pubkey_xonly_tweak_add(CTX, NULL, keyagg_cache, tweaks32[tweak_indices[i]])) { + *error = MUSIG_TWEAK; + return 0; + } + } else { + if (!secp256k1_musig_pubkey_ec_tweak_add(CTX, NULL, keyagg_cache, tweaks32[tweak_indices[i]])) { + *error = MUSIG_TWEAK; + return 0; + } + } + } + if (!secp256k1_musig_pubkey_get(CTX, &agg_pk, keyagg_cache)) { + *error = MUSIG_OTHER; + return 0; + } + + if (!secp256k1_xonly_pubkey_from_pubkey(CTX, &agg_pk_xonly, NULL, &agg_pk)) { + *error = MUSIG_OTHER; + return 0; + } + + if (agg_pk_ser != NULL) { + if (!secp256k1_xonly_pubkey_serialize(CTX, agg_pk_ser, &agg_pk_xonly)) { + *error = MUSIG_OTHER; + return 0; + } + } + + return 1; +} + +static void musig_test_vectors_keyagg(void) { + size_t i; + const struct musig_key_agg_vector *vector = &musig_key_agg_vector; + + for (i = 0; i < sizeof(vector->valid_case)/sizeof(vector->valid_case[0]); i++) { + const struct musig_key_agg_valid_test_case *c = &vector->valid_case[i]; + enum MUSIG_ERROR error; + secp256k1_musig_keyagg_cache keyagg_cache; + unsigned char agg_pk[32]; + + CHECK(musig_vectors_keyagg_and_tweak(&error, &keyagg_cache, agg_pk, vector->pubkeys, vector->tweaks, c->key_indices_len, c->key_indices, 0, NULL, NULL)); + CHECK(secp256k1_memcmp_var(agg_pk, c->expected, sizeof(agg_pk)) == 0); + } + + for (i = 0; i < sizeof(vector->error_case)/sizeof(vector->error_case[0]); i++) { + const struct musig_key_agg_error_test_case *c = &vector->error_case[i]; + enum MUSIG_ERROR error; + secp256k1_musig_keyagg_cache keyagg_cache; + + CHECK(!musig_vectors_keyagg_and_tweak(&error, &keyagg_cache, NULL, vector->pubkeys, vector->tweaks, c->key_indices_len, c->key_indices, c->tweak_indices_len, c->tweak_indices, c->is_xonly)); + CHECK(c->error == error); + } +} + +static void musig_test_vectors_noncegen(void) { + size_t i; + const struct musig_nonce_gen_vector *vector = &musig_nonce_gen_vector; + + for (i = 0; i < sizeof(vector->test_case)/sizeof(vector->test_case[0]); i++) { + const struct musig_nonce_gen_test_case *c = &vector->test_case[i]; + secp256k1_musig_keyagg_cache keyagg_cache; + secp256k1_musig_keyagg_cache *keyagg_cache_ptr = NULL; + unsigned char session_secrand32[32]; + secp256k1_musig_secnonce secnonce; + secp256k1_musig_pubnonce pubnonce; + const unsigned char *sk = NULL; + const unsigned char *msg = NULL; + const unsigned char *extra_in = NULL; + secp256k1_pubkey pk; + unsigned char pubnonce66[66]; + + memcpy(session_secrand32, c->rand_, 32); + if (c->has_sk) { + sk = c->sk; + } + if (c->has_aggpk) { + /* Create keyagg_cache from aggpk */ + secp256k1_keyagg_cache_internal cache_i; + secp256k1_xonly_pubkey aggpk; + memset(&cache_i, 0, sizeof(cache_i)); + CHECK(secp256k1_xonly_pubkey_parse(CTX, &aggpk, c->aggpk)); + CHECK(secp256k1_xonly_pubkey_load(CTX, &cache_i.pk, &aggpk)); + secp256k1_keyagg_cache_save(&keyagg_cache, &cache_i); + keyagg_cache_ptr = &keyagg_cache; + } + if (c->has_msg) { + msg = c->msg; + } + if (c->has_extra_in) { + extra_in = c->extra_in; + } + + CHECK(secp256k1_ec_pubkey_parse(CTX, &pk, c->pk, sizeof(c->pk))); + CHECK(secp256k1_musig_nonce_gen(CTX, &secnonce, &pubnonce, session_secrand32, sk, &pk, msg, keyagg_cache_ptr, extra_in) == 1); + CHECK(secp256k1_memcmp_var(&secnonce.data[4], c->expected_secnonce, 2*32) == 0); + /* The last element of the secnonce is the public key (uncompressed in + * secp256k1_musig_secnonce, compressed in the test vector secnonce). */ + CHECK(secp256k1_memcmp_var(&secnonce.data[4+2*32], &pk, sizeof(pk)) == 0); + CHECK(secp256k1_memcmp_var(&c->expected_secnonce[2*32], c->pk, sizeof(c->pk)) == 0); + + CHECK(secp256k1_musig_pubnonce_serialize(CTX, pubnonce66, &pubnonce) == 1); + CHECK(sizeof(c->expected_pubnonce) == sizeof(pubnonce66)); + CHECK(secp256k1_memcmp_var(pubnonce66, c->expected_pubnonce, sizeof(pubnonce66)) == 0); + } +} + + +static void musig_test_vectors_nonceagg(void) { + size_t i; + int j; + const struct musig_nonce_agg_vector *vector = &musig_nonce_agg_vector; + + for (i = 0; i < sizeof(vector->valid_case)/sizeof(vector->valid_case[0]); i++) { + const struct musig_nonce_agg_test_case *c = &vector->valid_case[i]; + secp256k1_musig_pubnonce pubnonce[2]; + const secp256k1_musig_pubnonce *pubnonce_ptr[2]; + secp256k1_musig_aggnonce aggnonce; + unsigned char aggnonce66[66]; + + for (j = 0; j < 2; j++) { + CHECK(secp256k1_musig_pubnonce_parse(CTX, &pubnonce[j], vector->pnonces[c->pnonce_indices[j]]) == 1); + pubnonce_ptr[j] = &pubnonce[j]; + } + CHECK(secp256k1_musig_nonce_agg(CTX, &aggnonce, pubnonce_ptr, 2)); + CHECK(secp256k1_musig_aggnonce_serialize(CTX, aggnonce66, &aggnonce)); + CHECK(secp256k1_memcmp_var(aggnonce66, c->expected, 33) == 0); + } + for (i = 0; i < sizeof(vector->error_case)/sizeof(vector->error_case[0]); i++) { + const struct musig_nonce_agg_test_case *c = &vector->error_case[i]; + secp256k1_musig_pubnonce pubnonce[2]; + for (j = 0; j < 2; j++) { + int expected = c->invalid_nonce_idx != j; + CHECK(expected == secp256k1_musig_pubnonce_parse(CTX, &pubnonce[j], vector->pnonces[c->pnonce_indices[j]])); + } + } +} + +static void musig_test_set_secnonce(secp256k1_musig_secnonce *secnonce, const unsigned char *secnonce64, const secp256k1_pubkey *pubkey) { + secp256k1_ge pk; + secp256k1_scalar k[2]; + + secp256k1_scalar_set_b32(&k[0], &secnonce64[0], NULL); + secp256k1_scalar_set_b32(&k[1], &secnonce64[32], NULL); + CHECK(secp256k1_pubkey_load(CTX, &pk, pubkey)); + secp256k1_musig_secnonce_save(secnonce, k, &pk); +} + +static void musig_test_vectors_signverify(void) { + size_t i; + const struct musig_sign_verify_vector *vector = &musig_sign_verify_vector; + + for (i = 0; i < sizeof(vector->valid_case)/sizeof(vector->valid_case[0]); i++) { + const struct musig_valid_case *c = &vector->valid_case[i]; + enum MUSIG_ERROR error; + secp256k1_musig_keyagg_cache keyagg_cache; + secp256k1_pubkey pubkey; + secp256k1_musig_pubnonce pubnonce; + secp256k1_musig_aggnonce aggnonce; + secp256k1_musig_session session; + secp256k1_musig_partial_sig partial_sig; + secp256k1_musig_secnonce secnonce; + secp256k1_keypair keypair; + unsigned char partial_sig32[32]; + + CHECK(secp256k1_keypair_create(CTX, &keypair, vector->sk)); + CHECK(musig_vectors_keyagg_and_tweak(&error, &keyagg_cache, NULL, vector->pubkeys, NULL, c->key_indices_len, c->key_indices, 0, NULL, NULL)); + + CHECK(secp256k1_musig_aggnonce_parse(CTX, &aggnonce, vector->aggnonces[c->aggnonce_index])); + CHECK(secp256k1_musig_nonce_process(CTX, &session, &aggnonce, vector->msgs[c->msg_index], &keyagg_cache)); + + CHECK(secp256k1_ec_pubkey_parse(CTX, &pubkey, vector->pubkeys[0], sizeof(vector->pubkeys[0]))); + musig_test_set_secnonce(&secnonce, vector->secnonces[0], &pubkey); + CHECK(secp256k1_musig_partial_sign(CTX, &partial_sig, &secnonce, &keypair, &keyagg_cache, &session)); + CHECK(secp256k1_musig_partial_sig_serialize(CTX, partial_sig32, &partial_sig)); + CHECK(secp256k1_memcmp_var(partial_sig32, c->expected, sizeof(partial_sig32)) == 0); + + CHECK(secp256k1_musig_pubnonce_parse(CTX, &pubnonce, vector->pubnonces[0])); + CHECK(secp256k1_musig_partial_sig_verify(CTX, &partial_sig, &pubnonce, &pubkey, &keyagg_cache, &session)); + } + for (i = 0; i < sizeof(vector->sign_error_case)/sizeof(vector->sign_error_case[0]); i++) { + const struct musig_sign_error_case *c = &vector->sign_error_case[i]; + enum MUSIG_ERROR error; + secp256k1_musig_keyagg_cache keyagg_cache; + secp256k1_pubkey pubkey; + secp256k1_musig_aggnonce aggnonce; + secp256k1_musig_session session; + secp256k1_musig_partial_sig partial_sig; + secp256k1_musig_secnonce secnonce; + secp256k1_keypair keypair; + int expected; + + if (i == 0) { + /* Skip this vector since the implementation does not error out when + * the signing key does not belong to any pubkey. */ + continue; + } + + expected = c->error != MUSIG_PUBKEY; + CHECK(expected == musig_vectors_keyagg_and_tweak(&error, &keyagg_cache, NULL, vector->pubkeys, NULL, c->key_indices_len, c->key_indices, 0, NULL, NULL)); + CHECK(expected || c->error == error); + if (!expected) { + continue; + } + CHECK(secp256k1_ec_pubkey_parse(CTX, &pubkey, vector->pubkeys[0], sizeof(vector->pubkeys[0]))); + CHECK(secp256k1_keypair_create(CTX, &keypair, vector->sk)); + + expected = c->error != MUSIG_AGGNONCE; + CHECK(expected == secp256k1_musig_aggnonce_parse(CTX, &aggnonce, vector->aggnonces[c->aggnonce_index])); + if (!expected) { + continue; + } + CHECK(secp256k1_musig_nonce_process(CTX, &session, &aggnonce, vector->msgs[c->msg_index], &keyagg_cache)); + + expected = c->error != MUSIG_SECNONCE; + CHECK(!expected); + musig_test_set_secnonce(&secnonce, vector->secnonces[c->secnonce_index], &pubkey); + CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sign(CTX, &partial_sig, &secnonce, &keypair, &keyagg_cache, &session)); + } + for (i = 0; i < sizeof(vector->verify_fail_case)/sizeof(vector->verify_fail_case[0]); i++) { + const struct musig_verify_fail_error_case *c = &vector->verify_fail_case[i]; + enum MUSIG_ERROR error; + secp256k1_musig_keyagg_cache keyagg_cache; + secp256k1_musig_aggnonce aggnonce; + secp256k1_musig_session session; + secp256k1_musig_partial_sig partial_sig; + enum { NUM_PUBNONCES = 3 }; + secp256k1_musig_pubnonce pubnonce[NUM_PUBNONCES]; + const secp256k1_musig_pubnonce *pubnonce_ptr[NUM_PUBNONCES]; + secp256k1_pubkey pubkey; + int expected; + size_t j; + + CHECK(NUM_PUBNONCES <= c->nonce_indices_len); + for (j = 0; j < c->nonce_indices_len; j++) { + CHECK(secp256k1_musig_pubnonce_parse(CTX, &pubnonce[j], vector->pubnonces[c->nonce_indices[j]])); + pubnonce_ptr[j] = &pubnonce[j]; + } + + CHECK(musig_vectors_keyagg_and_tweak(&error, &keyagg_cache, NULL, vector->pubkeys, NULL, c->key_indices_len, c->key_indices, 0, NULL, NULL)); + CHECK(secp256k1_musig_nonce_agg(CTX, &aggnonce, pubnonce_ptr, c->nonce_indices_len) == 1); + CHECK(secp256k1_musig_nonce_process(CTX, &session, &aggnonce, vector->msgs[c->msg_index], &keyagg_cache)); + + CHECK(secp256k1_ec_pubkey_parse(CTX, &pubkey, vector->pubkeys[c->signer_index], sizeof(vector->pubkeys[0]))); + + expected = c->error != MUSIG_SIG; + CHECK(expected == secp256k1_musig_partial_sig_parse(CTX, &partial_sig, c->sig)); + if (!expected) { + continue; + } + expected = c->error != MUSIG_SIG_VERIFY; + CHECK(expected == secp256k1_musig_partial_sig_verify(CTX, &partial_sig, pubnonce, &pubkey, &keyagg_cache, &session)); + } + for (i = 0; i < sizeof(vector->verify_error_case)/sizeof(vector->verify_error_case[0]); i++) { + const struct musig_verify_fail_error_case *c = &vector->verify_error_case[i]; + enum MUSIG_ERROR error; + secp256k1_musig_keyagg_cache keyagg_cache; + secp256k1_musig_pubnonce pubnonce; + int expected; + + expected = c->error != MUSIG_PUBKEY; + CHECK(expected == musig_vectors_keyagg_and_tweak(&error, &keyagg_cache, NULL, vector->pubkeys, NULL, c->key_indices_len, c->key_indices, 0, NULL, NULL)); + CHECK(expected || c->error == error); + if (!expected) { + continue; + } + expected = c->error != MUSIG_PUBNONCE; + CHECK(expected == secp256k1_musig_pubnonce_parse(CTX, &pubnonce, vector->pubnonces[c->nonce_indices[c->signer_index]])); + } +} + +static void musig_test_vectors_tweak(void) { + size_t i; + const struct musig_tweak_vector *vector = &musig_tweak_vector; + secp256k1_pubkey pubkey; + secp256k1_musig_aggnonce aggnonce; + secp256k1_musig_secnonce secnonce; + + CHECK(secp256k1_musig_aggnonce_parse(CTX, &aggnonce, vector->aggnonce)); + CHECK(secp256k1_ec_pubkey_parse(CTX, &pubkey, vector->pubkeys[0], sizeof(vector->pubkeys[0]))); + + for (i = 0; i < sizeof(vector->valid_case)/sizeof(vector->valid_case[0]); i++) { + const struct musig_tweak_case *c = &vector->valid_case[i]; + enum MUSIG_ERROR error; + secp256k1_musig_keyagg_cache keyagg_cache; + secp256k1_musig_pubnonce pubnonce; + secp256k1_musig_session session; + secp256k1_musig_partial_sig partial_sig; + secp256k1_keypair keypair; + unsigned char partial_sig32[32]; + + musig_test_set_secnonce(&secnonce, vector->secnonce, &pubkey); + + CHECK(secp256k1_keypair_create(CTX, &keypair, vector->sk)); + CHECK(musig_vectors_keyagg_and_tweak(&error, &keyagg_cache, NULL, vector->pubkeys, vector->tweaks, c->key_indices_len, c->key_indices, c->tweak_indices_len, c->tweak_indices, c->is_xonly)); + + CHECK(secp256k1_musig_nonce_process(CTX, &session, &aggnonce, vector->msg, &keyagg_cache)); + + CHECK(secp256k1_musig_partial_sign(CTX, &partial_sig, &secnonce, &keypair, &keyagg_cache, &session)); + CHECK(secp256k1_musig_partial_sig_serialize(CTX, partial_sig32, &partial_sig)); + CHECK(secp256k1_memcmp_var(partial_sig32, c->expected, sizeof(partial_sig32)) == 0); + + CHECK(secp256k1_musig_pubnonce_parse(CTX, &pubnonce, vector->pubnonces[c->nonce_indices[c->signer_index]])); + CHECK(secp256k1_musig_partial_sig_verify(CTX, &partial_sig, &pubnonce, &pubkey, &keyagg_cache, &session)); + } + for (i = 0; i < sizeof(vector->error_case)/sizeof(vector->error_case[0]); i++) { + const struct musig_tweak_case *c = &vector->error_case[i]; + enum MUSIG_ERROR error; + secp256k1_musig_keyagg_cache keyagg_cache; + CHECK(!musig_vectors_keyagg_and_tweak(&error, &keyagg_cache, NULL, vector->pubkeys, vector->tweaks, c->key_indices_len, c->key_indices, c->tweak_indices_len, c->tweak_indices, c->is_xonly)); + CHECK(error == MUSIG_TWEAK); + } +} + +static void musig_test_vectors_sigagg(void) { + size_t i, j; + const struct musig_sig_agg_vector *vector = &musig_sig_agg_vector; + + for (i = 0; i < sizeof(vector->valid_case)/sizeof(vector->valid_case[0]); i++) { + const struct musig_sig_agg_case *c = &vector->valid_case[i]; + enum MUSIG_ERROR error; + unsigned char final_sig[64]; + secp256k1_musig_keyagg_cache keyagg_cache; + unsigned char agg_pk32[32]; + secp256k1_xonly_pubkey agg_pk; + secp256k1_musig_aggnonce aggnonce; + secp256k1_musig_session session; + secp256k1_musig_partial_sig partial_sig[(sizeof(vector->psigs)/sizeof(vector->psigs[0]))]; + const secp256k1_musig_partial_sig *partial_sig_ptr[(sizeof(vector->psigs)/sizeof(vector->psigs[0]))]; + + CHECK(musig_vectors_keyagg_and_tweak(&error, &keyagg_cache, agg_pk32, vector->pubkeys, vector->tweaks, c->key_indices_len, c->key_indices, c->tweak_indices_len, c->tweak_indices, c->is_xonly)); + CHECK(secp256k1_musig_aggnonce_parse(CTX, &aggnonce, c->aggnonce)); + CHECK(secp256k1_musig_nonce_process(CTX, &session, &aggnonce, vector->msg, &keyagg_cache)); + for (j = 0; j < c->psig_indices_len; j++) { + CHECK(secp256k1_musig_partial_sig_parse(CTX, &partial_sig[j], vector->psigs[c->psig_indices[j]])); + partial_sig_ptr[j] = &partial_sig[j]; + } + + CHECK(secp256k1_musig_partial_sig_agg(CTX, final_sig, &session, partial_sig_ptr, c->psig_indices_len) == 1); + CHECK(secp256k1_memcmp_var(final_sig, c->expected, sizeof(final_sig)) == 0); + + CHECK(secp256k1_xonly_pubkey_parse(CTX, &agg_pk, agg_pk32)); + CHECK(secp256k1_schnorrsig_verify(CTX, final_sig, vector->msg, sizeof(vector->msg), &agg_pk) == 1); + } + for (i = 0; i < sizeof(vector->error_case)/sizeof(vector->error_case[0]); i++) { + const struct musig_sig_agg_case *c = &vector->error_case[i]; + secp256k1_musig_partial_sig partial_sig[(sizeof(vector->psigs)/sizeof(vector->psigs[0]))]; + for (j = 0; j < c->psig_indices_len; j++) { + int expected = c->invalid_sig_idx != (int)j; + CHECK(expected == secp256k1_musig_partial_sig_parse(CTX, &partial_sig[j], vector->psigs[c->psig_indices[j]])); + } + } +} + +/* Since the BIP doesn't provide static test vectors for nonce_gen_counter, we + * define a static test here */ +static void musig_test_static_nonce_gen_counter(void) { + secp256k1_musig_secnonce secnonce; + secp256k1_musig_pubnonce pubnonce; + unsigned char pubnonce66[66]; + secp256k1_pubkey pk; + secp256k1_keypair keypair; + uint64_t nonrepeating_cnt = 0; + unsigned char sk[32] = { + 0xEE, 0xC1, 0xCB, 0x7D, 0x1B, 0x72, 0x54, 0xC5, + 0xCA, 0xB0, 0xD9, 0xC6, 0x1A, 0xB0, 0x2E, 0x64, + 0x3D, 0x46, 0x4A, 0x59, 0xFE, 0x6C, 0x96, 0xA7, + 0xEF, 0xE8, 0x71, 0xF0, 0x7C, 0x5A, 0xEF, 0x54, + }; + unsigned char expected_secnonce[64] = { + 0x84, 0x2F, 0x13, 0x80, 0xCD, 0x17, 0xA1, 0x98, + 0xFC, 0x3D, 0xAD, 0x3B, 0x7D, 0xA7, 0x49, 0x29, + 0x41, 0xF4, 0x69, 0x76, 0xF2, 0x70, 0x2F, 0xF7, + 0xC6, 0x6F, 0x24, 0xF4, 0x72, 0x03, 0x6A, 0xF1, + 0xDA, 0x3F, 0x95, 0x2D, 0xDE, 0x4A, 0x2D, 0xA6, + 0xB6, 0x32, 0x57, 0x07, 0xCE, 0x87, 0xA4, 0xE3, + 0x61, 0x6D, 0x06, 0xFC, 0x5F, 0x81, 0xA9, 0xC9, + 0x93, 0x86, 0xD2, 0x0A, 0x99, 0xCE, 0xCF, 0x99, + }; + unsigned char expected_pubnonce[66] = { + 0x03, 0xA5, 0xB9, 0xB6, 0x90, 0x79, 0x42, 0xEA, + 0xCD, 0xDA, 0x49, 0xA3, 0x66, 0x01, 0x6E, 0xC2, + 0xE6, 0x24, 0x04, 0xA1, 0xBF, 0x4A, 0xB6, 0xD4, + 0xDB, 0x82, 0x06, 0x7B, 0xC3, 0xAD, 0xF0, 0x86, + 0xD7, 0x03, 0x32, 0x05, 0xDB, 0x9E, 0xB3, 0x4D, + 0x5C, 0x7C, 0xE0, 0x28, 0x48, 0xCA, 0xC6, 0x8A, + 0x83, 0xED, 0x73, 0xE3, 0x88, 0x34, 0x77, 0xF5, + 0x63, 0xF2, 0x3C, 0xE9, 0xA1, 0x1A, 0x77, 0x21, + 0xEC, 0x64, + }; + + CHECK(secp256k1_keypair_create(CTX, &keypair, sk)); + CHECK(secp256k1_keypair_pub(CTX, &pk, &keypair)); + CHECK(secp256k1_musig_nonce_gen_counter(CTX, &secnonce, &pubnonce, nonrepeating_cnt, &keypair, NULL, NULL, NULL) == 1); + + CHECK(secp256k1_memcmp_var(&secnonce.data[4], expected_secnonce, 2*32) == 0); + CHECK(secp256k1_memcmp_var(&secnonce.data[4+2*32], &pk, sizeof(pk)) == 0); + + CHECK(secp256k1_musig_pubnonce_serialize(CTX, pubnonce66, &pubnonce) == 1); + CHECK(secp256k1_memcmp_var(pubnonce66, expected_pubnonce, sizeof(pubnonce66)) == 0); +} + +/* --- Test registry --- */ +REPEAT_TEST(musig_simple_test) +/* Run multiple times to ensure that pk and nonce have different y parities */ +REPEAT_TEST(musig_tweak_test) + +static const struct tf_test_entry tests_musig[] = { + CASE1(musig_simple_test), + CASE1(musig_api_tests), + CASE1(musig_nonce_test), + CASE1(musig_tweak_test), + CASE1(sha256_tag_test), + CASE1(musig_test_vectors_keyagg), + CASE1(musig_test_vectors_noncegen), + CASE1(musig_test_vectors_nonceagg), + CASE1(musig_test_vectors_signverify), + CASE1(musig_test_vectors_tweak), + CASE1(musig_test_vectors_sigagg), + CASE1(musig_test_static_nonce_gen_counter), +}; + +#endif diff --git a/src/modules/musig/vectors.h b/src/modules/musig/vectors.h new file mode 100644 index 0000000000..8407c2a69a --- /dev/null +++ b/src/modules/musig/vectors.h @@ -0,0 +1,346 @@ +/** + * Automatically generated by ./tools/test_vectors_musig2_generate.py. + * + * The test vectors for the KeySort function are included in this file. They can + * be found in src/modules/extrakeys/tests_impl.h. */ + +enum MUSIG_ERROR { + MUSIG_PUBKEY, + MUSIG_TWEAK, + MUSIG_PUBNONCE, + MUSIG_AGGNONCE, + MUSIG_SECNONCE, + MUSIG_SIG, + MUSIG_SIG_VERIFY, + MUSIG_OTHER +}; + +struct musig_key_agg_valid_test_case { + size_t key_indices_len; + size_t key_indices[4]; + unsigned char expected[32]; +}; + +struct musig_key_agg_error_test_case { + size_t key_indices_len; + size_t key_indices[4]; + size_t tweak_indices_len; + size_t tweak_indices[1]; + int is_xonly[1]; + enum MUSIG_ERROR error; +}; + +struct musig_key_agg_vector { + unsigned char pubkeys[7][33]; + unsigned char tweaks[2][32]; + struct musig_key_agg_valid_test_case valid_case[4]; + struct musig_key_agg_error_test_case error_case[5]; +}; + +static const struct musig_key_agg_vector musig_key_agg_vector = { + { + { 0x02, 0xF9, 0x30, 0x8A, 0x01, 0x92, 0x58, 0xC3, 0x10, 0x49, 0x34, 0x4F, 0x85, 0xF8, 0x9D, 0x52, 0x29, 0xB5, 0x31, 0xC8, 0x45, 0x83, 0x6F, 0x99, 0xB0, 0x86, 0x01, 0xF1, 0x13, 0xBC, 0xE0, 0x36, 0xF9 }, + { 0x03, 0xDF, 0xF1, 0xD7, 0x7F, 0x2A, 0x67, 0x1C, 0x5F, 0x36, 0x18, 0x37, 0x26, 0xDB, 0x23, 0x41, 0xBE, 0x58, 0xFE, 0xAE, 0x1D, 0xA2, 0xDE, 0xCE, 0xD8, 0x43, 0x24, 0x0F, 0x7B, 0x50, 0x2B, 0xA6, 0x59 }, + { 0x02, 0x35, 0x90, 0xA9, 0x4E, 0x76, 0x8F, 0x8E, 0x18, 0x15, 0xC2, 0xF2, 0x4B, 0x4D, 0x80, 0xA8, 0xE3, 0x14, 0x93, 0x16, 0xC3, 0x51, 0x8C, 0xE7, 0xB7, 0xAD, 0x33, 0x83, 0x68, 0xD0, 0x38, 0xCA, 0x66 }, + { 0x02, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x05 }, + { 0x02, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFC, 0x30 }, + { 0x04, 0xF9, 0x30, 0x8A, 0x01, 0x92, 0x58, 0xC3, 0x10, 0x49, 0x34, 0x4F, 0x85, 0xF8, 0x9D, 0x52, 0x29, 0xB5, 0x31, 0xC8, 0x45, 0x83, 0x6F, 0x99, 0xB0, 0x86, 0x01, 0xF1, 0x13, 0xBC, 0xE0, 0x36, 0xF9 }, + { 0x03, 0x93, 0x5F, 0x97, 0x2D, 0xA0, 0x13, 0xF8, 0x0A, 0xE0, 0x11, 0x89, 0x0F, 0xA8, 0x9B, 0x67, 0xA2, 0x7B, 0x7B, 0xE6, 0xCC, 0xB2, 0x4D, 0x32, 0x74, 0xD1, 0x8B, 0x2D, 0x40, 0x67, 0xF2, 0x61, 0xA9 } + }, + { + { 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFE, 0xBA, 0xAE, 0xDC, 0xE6, 0xAF, 0x48, 0xA0, 0x3B, 0xBF, 0xD2, 0x5E, 0x8C, 0xD0, 0x36, 0x41, 0x41 }, + { 0x25, 0x2E, 0x4B, 0xD6, 0x74, 0x10, 0xA7, 0x6C, 0xDF, 0x93, 0x3D, 0x30, 0xEA, 0xA1, 0x60, 0x82, 0x14, 0x03, 0x7F, 0x1B, 0x10, 0x5A, 0x01, 0x3E, 0xCC, 0xD3, 0xC5, 0xC1, 0x84, 0xA6, 0x11, 0x0B } + }, + { + { 3, { 0, 1, 2 }, { 0x90, 0x53, 0x9E, 0xED, 0xE5, 0x65, 0xF5, 0xD0, 0x54, 0xF3, 0x2C, 0xC0, 0xC2, 0x20, 0x12, 0x68, 0x89, 0xED, 0x1E, 0x5D, 0x19, 0x3B, 0xAF, 0x15, 0xAE, 0xF3, 0x44, 0xFE, 0x59, 0xD4, 0x61, 0x0C }}, + { 3, { 2, 1, 0 }, { 0x62, 0x04, 0xDE, 0x8B, 0x08, 0x34, 0x26, 0xDC, 0x6E, 0xAF, 0x95, 0x02, 0xD2, 0x70, 0x24, 0xD5, 0x3F, 0xC8, 0x26, 0xBF, 0x7D, 0x20, 0x12, 0x14, 0x8A, 0x05, 0x75, 0x43, 0x5D, 0xF5, 0x4B, 0x2B }}, + { 3, { 0, 0, 0 }, { 0xB4, 0x36, 0xE3, 0xBA, 0xD6, 0x2B, 0x8C, 0xD4, 0x09, 0x96, 0x9A, 0x22, 0x47, 0x31, 0xC1, 0x93, 0xD0, 0x51, 0x16, 0x2D, 0x8C, 0x5A, 0xE8, 0xB1, 0x09, 0x30, 0x61, 0x27, 0xDA, 0x3A, 0xA9, 0x35 }}, + { 4, { 0, 0, 1, 1 }, { 0x69, 0xBC, 0x22, 0xBF, 0xA5, 0xD1, 0x06, 0x30, 0x6E, 0x48, 0xA2, 0x06, 0x79, 0xDE, 0x1D, 0x73, 0x89, 0x38, 0x61, 0x24, 0xD0, 0x75, 0x71, 0xD0, 0xD8, 0x72, 0x68, 0x60, 0x28, 0xC2, 0x6A, 0x3E }}, + }, + { + { 2, { 0, 3 }, 0, { 0 }, { 0 }, MUSIG_PUBKEY }, + { 2, { 0, 4 }, 0, { 0 }, { 0 }, MUSIG_PUBKEY }, + { 2, { 5, 0 }, 0, { 0 }, { 0 }, MUSIG_PUBKEY }, + { 2, { 0, 1 }, 1, { 0 }, { 1 }, MUSIG_TWEAK }, + { 1, { 6 }, 1, { 1 }, { 0 }, MUSIG_TWEAK }, + }, +}; + +struct musig_nonce_gen_test_case { + unsigned char rand_[32]; + int has_sk; + unsigned char sk[32]; + unsigned char pk[33]; + int has_aggpk; + unsigned char aggpk[32]; + int has_msg; + unsigned char msg[32]; + int has_extra_in; + unsigned char extra_in[32]; + unsigned char expected_secnonce[97]; + unsigned char expected_pubnonce[66]; +}; + +struct musig_nonce_gen_vector { + struct musig_nonce_gen_test_case test_case[2]; +}; + +static const struct musig_nonce_gen_vector musig_nonce_gen_vector = { + { + { { 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F }, 1 , { 0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02 }, { 0x02, 0x4D, 0x4B, 0x6C, 0xD1, 0x36, 0x10, 0x32, 0xCA, 0x9B, 0xD2, 0xAE, 0xB9, 0xD9, 0x00, 0xAA, 0x4D, 0x45, 0xD9, 0xEA, 0xD8, 0x0A, 0xC9, 0x42, 0x33, 0x74, 0xC4, 0x51, 0xA7, 0x25, 0x4D, 0x07, 0x66 }, 1 , { 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07 }, 1 , { 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01 }, 1 , { 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08 }, { 0xB1, 0x14, 0xE5, 0x02, 0xBE, 0xAA, 0x4E, 0x30, 0x1D, 0xD0, 0x8A, 0x50, 0x26, 0x41, 0x72, 0xC8, 0x4E, 0x41, 0x65, 0x0E, 0x6C, 0xB7, 0x26, 0xB4, 0x10, 0xC0, 0x69, 0x4D, 0x59, 0xEF, 0xFB, 0x64, 0x95, 0xB5, 0xCA, 0xF2, 0x8D, 0x04, 0x5B, 0x97, 0x3D, 0x63, 0xE3, 0xC9, 0x9A, 0x44, 0xB8, 0x07, 0xBD, 0xE3, 0x75, 0xFD, 0x6C, 0xB3, 0x9E, 0x46, 0xDC, 0x4A, 0x51, 0x17, 0x08, 0xD0, 0xE9, 0xD2, 0x02, 0x4D, 0x4B, 0x6C, 0xD1, 0x36, 0x10, 0x32, 0xCA, 0x9B, 0xD2, 0xAE, 0xB9, 0xD9, 0x00, 0xAA, 0x4D, 0x45, 0xD9, 0xEA, 0xD8, 0x0A, 0xC9, 0x42, 0x33, 0x74, 0xC4, 0x51, 0xA7, 0x25, 0x4D, 0x07, 0x66 }, { 0x02, 0xF7, 0xBE, 0x70, 0x89, 0xE8, 0x37, 0x6E, 0xB3, 0x55, 0x27, 0x23, 0x68, 0x76, 0x6B, 0x17, 0xE8, 0x8E, 0x7D, 0xB7, 0x20, 0x47, 0xD0, 0x5E, 0x56, 0xAA, 0x88, 0x1E, 0xA5, 0x2B, 0x3B, 0x35, 0xDF, 0x02, 0xC2, 0x9C, 0x80, 0x46, 0xFD, 0xD0, 0xDE, 0xD4, 0xC7, 0xE5, 0x58, 0x69, 0x13, 0x72, 0x00, 0xFB, 0xDB, 0xFE, 0x2E, 0xB6, 0x54, 0x26, 0x7B, 0x6D, 0x70, 0x13, 0x60, 0x2C, 0xAE, 0xD3, 0x11, 0x5A } }, + { { 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F }, 0 , { 0 }, { 0x02, 0xF9, 0x30, 0x8A, 0x01, 0x92, 0x58, 0xC3, 0x10, 0x49, 0x34, 0x4F, 0x85, 0xF8, 0x9D, 0x52, 0x29, 0xB5, 0x31, 0xC8, 0x45, 0x83, 0x6F, 0x99, 0xB0, 0x86, 0x01, 0xF1, 0x13, 0xBC, 0xE0, 0x36, 0xF9 }, 0 , { 0 }, 0 , { 0 }, 0 , { 0 }, { 0x89, 0xBD, 0xD7, 0x87, 0xD0, 0x28, 0x4E, 0x5E, 0x4D, 0x5F, 0xC5, 0x72, 0xE4, 0x9E, 0x31, 0x6B, 0xAB, 0x7E, 0x21, 0xE3, 0xB1, 0x83, 0x0D, 0xE3, 0x7D, 0xFE, 0x80, 0x15, 0x6F, 0xA4, 0x1A, 0x6D, 0x0B, 0x17, 0xAE, 0x8D, 0x02, 0x4C, 0x53, 0x67, 0x96, 0x99, 0xA6, 0xFD, 0x79, 0x44, 0xD9, 0xC4, 0xA3, 0x66, 0xB5, 0x14, 0xBA, 0xF4, 0x30, 0x88, 0xE0, 0x70, 0x8B, 0x10, 0x23, 0xDD, 0x28, 0x97, 0x02, 0xF9, 0x30, 0x8A, 0x01, 0x92, 0x58, 0xC3, 0x10, 0x49, 0x34, 0x4F, 0x85, 0xF8, 0x9D, 0x52, 0x29, 0xB5, 0x31, 0xC8, 0x45, 0x83, 0x6F, 0x99, 0xB0, 0x86, 0x01, 0xF1, 0x13, 0xBC, 0xE0, 0x36, 0xF9 }, { 0x02, 0xC9, 0x6E, 0x7C, 0xB1, 0xE8, 0xAA, 0x5D, 0xAC, 0x64, 0xD8, 0x72, 0x94, 0x79, 0x14, 0x19, 0x8F, 0x60, 0x7D, 0x90, 0xEC, 0xDE, 0x52, 0x00, 0xDE, 0x52, 0x97, 0x8A, 0xD5, 0xDE, 0xD6, 0x3C, 0x00, 0x02, 0x99, 0xEC, 0x51, 0x17, 0xC2, 0xD2, 0x9E, 0xDE, 0xE8, 0xA2, 0x09, 0x25, 0x87, 0xC3, 0x90, 0x9B, 0xE6, 0x94, 0xD5, 0xCF, 0xF0, 0x66, 0x7D, 0x6C, 0x02, 0xEA, 0x40, 0x59, 0xF7, 0xCD, 0x97, 0x86 } }, + }, +}; + +struct musig_nonce_agg_test_case { + size_t pnonce_indices[2]; + /* if valid case */ + unsigned char expected[66]; + /* if error case */ + int invalid_nonce_idx; +}; + +struct musig_nonce_agg_vector { + unsigned char pnonces[7][66]; + struct musig_nonce_agg_test_case valid_case[2]; + struct musig_nonce_agg_test_case error_case[3]; +}; + +static const struct musig_nonce_agg_vector musig_nonce_agg_vector = { + { + { 0x02, 0x01, 0x51, 0xC8, 0x0F, 0x43, 0x56, 0x48, 0xDF, 0x67, 0xA2, 0x2B, 0x74, 0x9C, 0xD7, 0x98, 0xCE, 0x54, 0xE0, 0x32, 0x1D, 0x03, 0x4B, 0x92, 0xB7, 0x09, 0xB5, 0x67, 0xD6, 0x0A, 0x42, 0xE6, 0x66, 0x03, 0xBA, 0x47, 0xFB, 0xC1, 0x83, 0x44, 0x37, 0xB3, 0x21, 0x2E, 0x89, 0xA8, 0x4D, 0x84, 0x25, 0xE7, 0xBF, 0x12, 0xE0, 0x24, 0x5D, 0x98, 0x26, 0x22, 0x68, 0xEB, 0xDC, 0xB3, 0x85, 0xD5, 0x06, 0x41 }, + { 0x03, 0xFF, 0x40, 0x6F, 0xFD, 0x8A, 0xDB, 0x9C, 0xD2, 0x98, 0x77, 0xE4, 0x98, 0x50, 0x14, 0xF6, 0x6A, 0x59, 0xF6, 0xCD, 0x01, 0xC0, 0xE8, 0x8C, 0xAA, 0x8E, 0x5F, 0x31, 0x66, 0xB1, 0xF6, 0x76, 0xA6, 0x02, 0x48, 0xC2, 0x64, 0xCD, 0xD5, 0x7D, 0x3C, 0x24, 0xD7, 0x99, 0x90, 0xB0, 0xF8, 0x65, 0x67, 0x4E, 0xB6, 0x2A, 0x0F, 0x90, 0x18, 0x27, 0x7A, 0x95, 0x01, 0x1B, 0x41, 0xBF, 0xC1, 0x93, 0xB8, 0x33 }, + { 0x02, 0x01, 0x51, 0xC8, 0x0F, 0x43, 0x56, 0x48, 0xDF, 0x67, 0xA2, 0x2B, 0x74, 0x9C, 0xD7, 0x98, 0xCE, 0x54, 0xE0, 0x32, 0x1D, 0x03, 0x4B, 0x92, 0xB7, 0x09, 0xB5, 0x67, 0xD6, 0x0A, 0x42, 0xE6, 0x66, 0x02, 0x79, 0xBE, 0x66, 0x7E, 0xF9, 0xDC, 0xBB, 0xAC, 0x55, 0xA0, 0x62, 0x95, 0xCE, 0x87, 0x0B, 0x07, 0x02, 0x9B, 0xFC, 0xDB, 0x2D, 0xCE, 0x28, 0xD9, 0x59, 0xF2, 0x81, 0x5B, 0x16, 0xF8, 0x17, 0x98 }, + { 0x03, 0xFF, 0x40, 0x6F, 0xFD, 0x8A, 0xDB, 0x9C, 0xD2, 0x98, 0x77, 0xE4, 0x98, 0x50, 0x14, 0xF6, 0x6A, 0x59, 0xF6, 0xCD, 0x01, 0xC0, 0xE8, 0x8C, 0xAA, 0x8E, 0x5F, 0x31, 0x66, 0xB1, 0xF6, 0x76, 0xA6, 0x03, 0x79, 0xBE, 0x66, 0x7E, 0xF9, 0xDC, 0xBB, 0xAC, 0x55, 0xA0, 0x62, 0x95, 0xCE, 0x87, 0x0B, 0x07, 0x02, 0x9B, 0xFC, 0xDB, 0x2D, 0xCE, 0x28, 0xD9, 0x59, 0xF2, 0x81, 0x5B, 0x16, 0xF8, 0x17, 0x98 }, + { 0x04, 0xFF, 0x40, 0x6F, 0xFD, 0x8A, 0xDB, 0x9C, 0xD2, 0x98, 0x77, 0xE4, 0x98, 0x50, 0x14, 0xF6, 0x6A, 0x59, 0xF6, 0xCD, 0x01, 0xC0, 0xE8, 0x8C, 0xAA, 0x8E, 0x5F, 0x31, 0x66, 0xB1, 0xF6, 0x76, 0xA6, 0x02, 0x48, 0xC2, 0x64, 0xCD, 0xD5, 0x7D, 0x3C, 0x24, 0xD7, 0x99, 0x90, 0xB0, 0xF8, 0x65, 0x67, 0x4E, 0xB6, 0x2A, 0x0F, 0x90, 0x18, 0x27, 0x7A, 0x95, 0x01, 0x1B, 0x41, 0xBF, 0xC1, 0x93, 0xB8, 0x33 }, + { 0x03, 0xFF, 0x40, 0x6F, 0xFD, 0x8A, 0xDB, 0x9C, 0xD2, 0x98, 0x77, 0xE4, 0x98, 0x50, 0x14, 0xF6, 0x6A, 0x59, 0xF6, 0xCD, 0x01, 0xC0, 0xE8, 0x8C, 0xAA, 0x8E, 0x5F, 0x31, 0x66, 0xB1, 0xF6, 0x76, 0xA6, 0x02, 0x48, 0xC2, 0x64, 0xCD, 0xD5, 0x7D, 0x3C, 0x24, 0xD7, 0x99, 0x90, 0xB0, 0xF8, 0x65, 0x67, 0x4E, 0xB6, 0x2A, 0x0F, 0x90, 0x18, 0x27, 0x7A, 0x95, 0x01, 0x1B, 0x41, 0xBF, 0xC1, 0x93, 0xB8, 0x31 }, + { 0x03, 0xFF, 0x40, 0x6F, 0xFD, 0x8A, 0xDB, 0x9C, 0xD2, 0x98, 0x77, 0xE4, 0x98, 0x50, 0x14, 0xF6, 0x6A, 0x59, 0xF6, 0xCD, 0x01, 0xC0, 0xE8, 0x8C, 0xAA, 0x8E, 0x5F, 0x31, 0x66, 0xB1, 0xF6, 0x76, 0xA6, 0x02, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFC, 0x30 } + }, + { + { { 0, 1 }, { 0x03, 0x5F, 0xE1, 0x87, 0x3B, 0x4F, 0x29, 0x67, 0xF5, 0x2F, 0xEA, 0x4A, 0x06, 0xAD, 0x5A, 0x8E, 0xCC, 0xBE, 0x9D, 0x0F, 0xD7, 0x30, 0x68, 0x01, 0x2C, 0x89, 0x4E, 0x2E, 0x87, 0xCC, 0xB5, 0x80, 0x4B, 0x02, 0x47, 0x25, 0x37, 0x73, 0x45, 0xBD, 0xE0, 0xE9, 0xC3, 0x3A, 0xF3, 0xC4, 0x3C, 0x0A, 0x29, 0xA9, 0x24, 0x9F, 0x2F, 0x29, 0x56, 0xFA, 0x8C, 0xFE, 0xB5, 0x5C, 0x85, 0x73, 0xD0, 0x26, 0x2D, 0xC8 }, 0 }, + { { 2, 3 }, { 0x03, 0x5F, 0xE1, 0x87, 0x3B, 0x4F, 0x29, 0x67, 0xF5, 0x2F, 0xEA, 0x4A, 0x06, 0xAD, 0x5A, 0x8E, 0xCC, 0xBE, 0x9D, 0x0F, 0xD7, 0x30, 0x68, 0x01, 0x2C, 0x89, 0x4E, 0x2E, 0x87, 0xCC, 0xB5, 0x80, 0x4B, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 }, 0 }, + }, + { + { { 0, 4 }, { 0 }, 1 }, + { { 5, 1 }, { 0 }, 0 }, + { { 6, 1 }, { 0 }, 0 }, + }, +}; + +/* Omit pubnonces in the test vectors because our partial signature verification + * implementation is able to accept the aggnonce directly. */ +struct musig_valid_case { + size_t key_indices_len; + size_t key_indices[3]; + size_t aggnonce_index; + size_t msg_index; + size_t signer_index; + unsigned char expected[32]; +}; + +struct musig_sign_error_case { + size_t key_indices_len; + size_t key_indices[3]; + size_t aggnonce_index; + size_t msg_index; + size_t secnonce_index; + enum MUSIG_ERROR error; +}; + +struct musig_verify_fail_error_case { + unsigned char sig[32]; + size_t key_indices_len; + size_t key_indices[3]; + size_t nonce_indices_len; + size_t nonce_indices[3]; + size_t msg_index; + size_t signer_index; + enum MUSIG_ERROR error; +}; + +struct musig_sign_verify_vector { + unsigned char sk[32]; + unsigned char pubkeys[4][33]; + unsigned char secnonces[2][194]; + unsigned char pubnonces[5][194]; + unsigned char aggnonces[5][66]; + unsigned char msgs[1][32]; + struct musig_valid_case valid_case[4]; + struct musig_sign_error_case sign_error_case[6]; + struct musig_verify_fail_error_case verify_fail_case[3]; + struct musig_verify_fail_error_case verify_error_case[2]; +}; + +static const struct musig_sign_verify_vector musig_sign_verify_vector = { + { 0x7F, 0xB9, 0xE0, 0xE6, 0x87, 0xAD, 0xA1, 0xEE, 0xBF, 0x7E, 0xCF, 0xE2, 0xF2, 0x1E, 0x73, 0xEB, 0xDB, 0x51, 0xA7, 0xD4, 0x50, 0x94, 0x8D, 0xFE, 0x8D, 0x76, 0xD7, 0xF2, 0xD1, 0x00, 0x76, 0x71 }, + { + { 0x03, 0x93, 0x5F, 0x97, 0x2D, 0xA0, 0x13, 0xF8, 0x0A, 0xE0, 0x11, 0x89, 0x0F, 0xA8, 0x9B, 0x67, 0xA2, 0x7B, 0x7B, 0xE6, 0xCC, 0xB2, 0x4D, 0x32, 0x74, 0xD1, 0x8B, 0x2D, 0x40, 0x67, 0xF2, 0x61, 0xA9 }, + { 0x02, 0xF9, 0x30, 0x8A, 0x01, 0x92, 0x58, 0xC3, 0x10, 0x49, 0x34, 0x4F, 0x85, 0xF8, 0x9D, 0x52, 0x29, 0xB5, 0x31, 0xC8, 0x45, 0x83, 0x6F, 0x99, 0xB0, 0x86, 0x01, 0xF1, 0x13, 0xBC, 0xE0, 0x36, 0xF9 }, + { 0x02, 0xDF, 0xF1, 0xD7, 0x7F, 0x2A, 0x67, 0x1C, 0x5F, 0x36, 0x18, 0x37, 0x26, 0xDB, 0x23, 0x41, 0xBE, 0x58, 0xFE, 0xAE, 0x1D, 0xA2, 0xDE, 0xCE, 0xD8, 0x43, 0x24, 0x0F, 0x7B, 0x50, 0x2B, 0xA6, 0x61 }, + { 0x02, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x07 } + }, + { + { 0x50, 0x8B, 0x81, 0xA6, 0x11, 0xF1, 0x00, 0xA6, 0xB2, 0xB6, 0xB2, 0x96, 0x56, 0x59, 0x08, 0x98, 0xAF, 0x48, 0x8B, 0xCF, 0x2E, 0x1F, 0x55, 0xCF, 0x22, 0xE5, 0xCF, 0xB8, 0x44, 0x21, 0xFE, 0x61, 0xFA, 0x27, 0xFD, 0x49, 0xB1, 0xD5, 0x00, 0x85, 0xB4, 0x81, 0x28, 0x5E, 0x1C, 0xA2, 0x05, 0xD5, 0x5C, 0x82, 0xCC, 0x1B, 0x31, 0xFF, 0x5C, 0xD5, 0x4A, 0x48, 0x98, 0x29, 0x35, 0x59, 0x01, 0xF7, 0x03, 0x93, 0x5F, 0x97, 0x2D, 0xA0, 0x13, 0xF8, 0x0A, 0xE0, 0x11, 0x89, 0x0F, 0xA8, 0x9B, 0x67, 0xA2, 0x7B, 0x7B, 0xE6, 0xCC, 0xB2, 0x4D, 0x32, 0x74, 0xD1, 0x8B, 0x2D, 0x40, 0x67, 0xF2, 0x61, 0xA9 }, + { 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x03, 0x93, 0x5F, 0x97, 0x2D, 0xA0, 0x13, 0xF8, 0x0A, 0xE0, 0x11, 0x89, 0x0F, 0xA8, 0x9B, 0x67, 0xA2, 0x7B, 0x7B, 0xE6, 0xCC, 0xB2, 0x4D, 0x32, 0x74, 0xD1, 0x8B, 0x2D, 0x40, 0x67, 0xF2, 0x61, 0xA9 } + }, + { + { 0x03, 0x37, 0xC8, 0x78, 0x21, 0xAF, 0xD5, 0x0A, 0x86, 0x44, 0xD8, 0x20, 0xA8, 0xF3, 0xE0, 0x2E, 0x49, 0x9C, 0x93, 0x18, 0x65, 0xC2, 0x36, 0x0F, 0xB4, 0x3D, 0x0A, 0x0D, 0x20, 0xDA, 0xFE, 0x07, 0xEA, 0x02, 0x87, 0xBF, 0x89, 0x1D, 0x2A, 0x6D, 0xEA, 0xEB, 0xAD, 0xC9, 0x09, 0x35, 0x2A, 0xA9, 0x40, 0x5D, 0x14, 0x28, 0xC1, 0x5F, 0x4B, 0x75, 0xF0, 0x4D, 0xAE, 0x64, 0x2A, 0x95, 0xC2, 0x54, 0x84, 0x80 }, + { 0x02, 0x79, 0xBE, 0x66, 0x7E, 0xF9, 0xDC, 0xBB, 0xAC, 0x55, 0xA0, 0x62, 0x95, 0xCE, 0x87, 0x0B, 0x07, 0x02, 0x9B, 0xFC, 0xDB, 0x2D, 0xCE, 0x28, 0xD9, 0x59, 0xF2, 0x81, 0x5B, 0x16, 0xF8, 0x17, 0x98, 0x02, 0x79, 0xBE, 0x66, 0x7E, 0xF9, 0xDC, 0xBB, 0xAC, 0x55, 0xA0, 0x62, 0x95, 0xCE, 0x87, 0x0B, 0x07, 0x02, 0x9B, 0xFC, 0xDB, 0x2D, 0xCE, 0x28, 0xD9, 0x59, 0xF2, 0x81, 0x5B, 0x16, 0xF8, 0x17, 0x98 }, + { 0x03, 0x2D, 0xE2, 0x66, 0x26, 0x28, 0xC9, 0x0B, 0x03, 0xF5, 0xE7, 0x20, 0x28, 0x4E, 0xB5, 0x2F, 0xF7, 0xD7, 0x1F, 0x42, 0x84, 0xF6, 0x27, 0xB6, 0x8A, 0x85, 0x3D, 0x78, 0xC7, 0x8E, 0x1F, 0xFE, 0x93, 0x03, 0xE4, 0xC5, 0x52, 0x4E, 0x83, 0xFF, 0xE1, 0x49, 0x3B, 0x90, 0x77, 0xCF, 0x1C, 0xA6, 0xBE, 0xB2, 0x09, 0x0C, 0x93, 0xD9, 0x30, 0x32, 0x10, 0x71, 0xAD, 0x40, 0xB2, 0xF4, 0x4E, 0x59, 0x90, 0x46 }, + { 0x02, 0x37, 0xC8, 0x78, 0x21, 0xAF, 0xD5, 0x0A, 0x86, 0x44, 0xD8, 0x20, 0xA8, 0xF3, 0xE0, 0x2E, 0x49, 0x9C, 0x93, 0x18, 0x65, 0xC2, 0x36, 0x0F, 0xB4, 0x3D, 0x0A, 0x0D, 0x20, 0xDA, 0xFE, 0x07, 0xEA, 0x03, 0x87, 0xBF, 0x89, 0x1D, 0x2A, 0x6D, 0xEA, 0xEB, 0xAD, 0xC9, 0x09, 0x35, 0x2A, 0xA9, 0x40, 0x5D, 0x14, 0x28, 0xC1, 0x5F, 0x4B, 0x75, 0xF0, 0x4D, 0xAE, 0x64, 0x2A, 0x95, 0xC2, 0x54, 0x84, 0x80 }, + { 0x02, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x09, 0x02, 0x87, 0xBF, 0x89, 0x1D, 0x2A, 0x6D, 0xEA, 0xEB, 0xAD, 0xC9, 0x09, 0x35, 0x2A, 0xA9, 0x40, 0x5D, 0x14, 0x28, 0xC1, 0x5F, 0x4B, 0x75, 0xF0, 0x4D, 0xAE, 0x64, 0x2A, 0x95, 0xC2, 0x54, 0x84, 0x80 } + }, + { + { 0x02, 0x84, 0x65, 0xFC, 0xF0, 0xBB, 0xDB, 0xCF, 0x44, 0x3A, 0xAB, 0xCC, 0xE5, 0x33, 0xD4, 0x2B, 0x4B, 0x5A, 0x10, 0x96, 0x6A, 0xC0, 0x9A, 0x49, 0x65, 0x5E, 0x8C, 0x42, 0xDA, 0xAB, 0x8F, 0xCD, 0x61, 0x03, 0x74, 0x96, 0xA3, 0xCC, 0x86, 0x92, 0x6D, 0x45, 0x2C, 0xAF, 0xCF, 0xD5, 0x5D, 0x25, 0x97, 0x2C, 0xA1, 0x67, 0x5D, 0x54, 0x93, 0x10, 0xDE, 0x29, 0x6B, 0xFF, 0x42, 0xF7, 0x2E, 0xEE, 0xA8, 0xC9 }, + { 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 }, + { 0x04, 0x84, 0x65, 0xFC, 0xF0, 0xBB, 0xDB, 0xCF, 0x44, 0x3A, 0xAB, 0xCC, 0xE5, 0x33, 0xD4, 0x2B, 0x4B, 0x5A, 0x10, 0x96, 0x6A, 0xC0, 0x9A, 0x49, 0x65, 0x5E, 0x8C, 0x42, 0xDA, 0xAB, 0x8F, 0xCD, 0x61, 0x03, 0x74, 0x96, 0xA3, 0xCC, 0x86, 0x92, 0x6D, 0x45, 0x2C, 0xAF, 0xCF, 0xD5, 0x5D, 0x25, 0x97, 0x2C, 0xA1, 0x67, 0x5D, 0x54, 0x93, 0x10, 0xDE, 0x29, 0x6B, 0xFF, 0x42, 0xF7, 0x2E, 0xEE, 0xA8, 0xC9 }, + { 0x02, 0x84, 0x65, 0xFC, 0xF0, 0xBB, 0xDB, 0xCF, 0x44, 0x3A, 0xAB, 0xCC, 0xE5, 0x33, 0xD4, 0x2B, 0x4B, 0x5A, 0x10, 0x96, 0x6A, 0xC0, 0x9A, 0x49, 0x65, 0x5E, 0x8C, 0x42, 0xDA, 0xAB, 0x8F, 0xCD, 0x61, 0x02, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x09 }, + { 0x02, 0x84, 0x65, 0xFC, 0xF0, 0xBB, 0xDB, 0xCF, 0x44, 0x3A, 0xAB, 0xCC, 0xE5, 0x33, 0xD4, 0x2B, 0x4B, 0x5A, 0x10, 0x96, 0x6A, 0xC0, 0x9A, 0x49, 0x65, 0x5E, 0x8C, 0x42, 0xDA, 0xAB, 0x8F, 0xCD, 0x61, 0x02, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFC, 0x30 } + }, + { + { 0xF9, 0x54, 0x66, 0xD0, 0x86, 0x77, 0x0E, 0x68, 0x99, 0x64, 0x66, 0x42, 0x19, 0x26, 0x6F, 0xE5, 0xED, 0x21, 0x5C, 0x92, 0xAE, 0x20, 0xBA, 0xB5, 0xC9, 0xD7, 0x9A, 0xDD, 0xDD, 0xF3, 0xC0, 0xCF } + }, + { + { 3, { 0, 1, 2 }, 0, 0, 0, { 0x01, 0x2A, 0xBB, 0xCB, 0x52, 0xB3, 0x01, 0x6A, 0xC0, 0x3A, 0xD8, 0x23, 0x95, 0xA1, 0xA4, 0x15, 0xC4, 0x8B, 0x93, 0xDE, 0xF7, 0x87, 0x18, 0xE6, 0x2A, 0x7A, 0x90, 0x05, 0x2F, 0xE2, 0x24, 0xFB }}, + { 3, { 1, 0, 2 }, 0, 0, 1, { 0x9F, 0xF2, 0xF7, 0xAA, 0xA8, 0x56, 0x15, 0x0C, 0xC8, 0x81, 0x92, 0x54, 0x21, 0x8D, 0x3A, 0xDE, 0xEB, 0x05, 0x35, 0x26, 0x90, 0x51, 0x89, 0x77, 0x24, 0xF9, 0xDB, 0x37, 0x89, 0x51, 0x3A, 0x52 }}, + { 3, { 1, 2, 0 }, 0, 0, 2, { 0xFA, 0x23, 0xC3, 0x59, 0xF6, 0xFA, 0xC4, 0xE7, 0x79, 0x6B, 0xB9, 0x3B, 0xC9, 0xF0, 0x53, 0x2A, 0x95, 0x46, 0x8C, 0x53, 0x9B, 0xA2, 0x0F, 0xF8, 0x6D, 0x7C, 0x76, 0xED, 0x92, 0x22, 0x79, 0x00 }}, + { 2, { 0, 1 }, 1, 0, 0, { 0xAE, 0x38, 0x60, 0x64, 0xB2, 0x61, 0x05, 0x40, 0x47, 0x98, 0xF7, 0x5D, 0xE2, 0xEB, 0x9A, 0xF5, 0xED, 0xA5, 0x38, 0x7B, 0x06, 0x4B, 0x83, 0xD0, 0x49, 0xCB, 0x7C, 0x5E, 0x08, 0x87, 0x95, 0x31 }}, + }, + { + { 2, { 1, 2 }, 0, 0, 0, MUSIG_PUBKEY }, + { 3, { 1, 0, 3 }, 0, 0, 0, MUSIG_PUBKEY }, + { 3, { 1, 2, 0 }, 2, 0, 0, MUSIG_AGGNONCE }, + { 3, { 1, 2, 0 }, 3, 0, 0, MUSIG_AGGNONCE }, + { 3, { 1, 2, 0 }, 4, 0, 0, MUSIG_AGGNONCE }, + { 3, { 0, 1, 2 }, 0, 0, 1, MUSIG_SECNONCE }, + }, + { + { { 0xFE, 0xD5, 0x44, 0x34, 0xAD, 0x4C, 0xFE, 0x95, 0x3F, 0xC5, 0x27, 0xDC, 0x6A, 0x5E, 0x5B, 0xE8, 0xF6, 0x23, 0x49, 0x07, 0xB7, 0xC1, 0x87, 0x55, 0x95, 0x57, 0xCE, 0x87, 0xA0, 0x54, 0x1C, 0x46 }, 3, { 0, 1, 2 }, 3, { 0, 1, 2 }, 0, 0, MUSIG_SIG_VERIFY }, + { { 0x01, 0x2A, 0xBB, 0xCB, 0x52, 0xB3, 0x01, 0x6A, 0xC0, 0x3A, 0xD8, 0x23, 0x95, 0xA1, 0xA4, 0x15, 0xC4, 0x8B, 0x93, 0xDE, 0xF7, 0x87, 0x18, 0xE6, 0x2A, 0x7A, 0x90, 0x05, 0x2F, 0xE2, 0x24, 0xFB }, 3, { 0, 1, 2 }, 3, { 0, 1, 2 }, 0, 1, MUSIG_SIG_VERIFY }, + { { 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFE, 0xBA, 0xAE, 0xDC, 0xE6, 0xAF, 0x48, 0xA0, 0x3B, 0xBF, 0xD2, 0x5E, 0x8C, 0xD0, 0x36, 0x41, 0x41 }, 3, { 0, 1, 2 }, 3, { 0, 1, 2 }, 0, 0, MUSIG_SIG }, + }, + { + { { 0x01, 0x2A, 0xBB, 0xCB, 0x52, 0xB3, 0x01, 0x6A, 0xC0, 0x3A, 0xD8, 0x23, 0x95, 0xA1, 0xA4, 0x15, 0xC4, 0x8B, 0x93, 0xDE, 0xF7, 0x87, 0x18, 0xE6, 0x2A, 0x7A, 0x90, 0x05, 0x2F, 0xE2, 0x24, 0xFB }, 3, { 0, 1, 2 }, 3, { 4, 1, 2 }, 0, 0, MUSIG_PUBNONCE }, + { { 0x01, 0x2A, 0xBB, 0xCB, 0x52, 0xB3, 0x01, 0x6A, 0xC0, 0x3A, 0xD8, 0x23, 0x95, 0xA1, 0xA4, 0x15, 0xC4, 0x8B, 0x93, 0xDE, 0xF7, 0x87, 0x18, 0xE6, 0x2A, 0x7A, 0x90, 0x05, 0x2F, 0xE2, 0x24, 0xFB }, 3, { 3, 1, 2 }, 3, { 0, 1, 2 }, 0, 0, MUSIG_PUBKEY }, + }, +}; + +struct musig_tweak_case { + size_t key_indices_len; + size_t key_indices[3]; + size_t nonce_indices_len; + size_t nonce_indices[3]; + size_t tweak_indices_len; + size_t tweak_indices[4]; + int is_xonly[4]; + size_t signer_index; + unsigned char expected[32]; +}; + +struct musig_tweak_vector { + unsigned char sk[32]; + unsigned char secnonce[97]; + unsigned char aggnonce[66]; + unsigned char msg[32]; + unsigned char pubkeys[3][33]; + unsigned char pubnonces[3][194]; + unsigned char tweaks[5][32]; + struct musig_tweak_case valid_case[5]; + struct musig_tweak_case error_case[1]; +}; + +static const struct musig_tweak_vector musig_tweak_vector = { + { 0x7F, 0xB9, 0xE0, 0xE6, 0x87, 0xAD, 0xA1, 0xEE, 0xBF, 0x7E, 0xCF, 0xE2, 0xF2, 0x1E, 0x73, 0xEB, 0xDB, 0x51, 0xA7, 0xD4, 0x50, 0x94, 0x8D, 0xFE, 0x8D, 0x76, 0xD7, 0xF2, 0xD1, 0x00, 0x76, 0x71 }, + { 0x50, 0x8B, 0x81, 0xA6, 0x11, 0xF1, 0x00, 0xA6, 0xB2, 0xB6, 0xB2, 0x96, 0x56, 0x59, 0x08, 0x98, 0xAF, 0x48, 0x8B, 0xCF, 0x2E, 0x1F, 0x55, 0xCF, 0x22, 0xE5, 0xCF, 0xB8, 0x44, 0x21, 0xFE, 0x61, 0xFA, 0x27, 0xFD, 0x49, 0xB1, 0xD5, 0x00, 0x85, 0xB4, 0x81, 0x28, 0x5E, 0x1C, 0xA2, 0x05, 0xD5, 0x5C, 0x82, 0xCC, 0x1B, 0x31, 0xFF, 0x5C, 0xD5, 0x4A, 0x48, 0x98, 0x29, 0x35, 0x59, 0x01, 0xF7, 0x03, 0x93, 0x5F, 0x97, 0x2D, 0xA0, 0x13, 0xF8, 0x0A, 0xE0, 0x11, 0x89, 0x0F, 0xA8, 0x9B, 0x67, 0xA2, 0x7B, 0x7B, 0xE6, 0xCC, 0xB2, 0x4D, 0x32, 0x74, 0xD1, 0x8B, 0x2D, 0x40, 0x67, 0xF2, 0x61, 0xA9 }, + { 0x02, 0x84, 0x65, 0xFC, 0xF0, 0xBB, 0xDB, 0xCF, 0x44, 0x3A, 0xAB, 0xCC, 0xE5, 0x33, 0xD4, 0x2B, 0x4B, 0x5A, 0x10, 0x96, 0x6A, 0xC0, 0x9A, 0x49, 0x65, 0x5E, 0x8C, 0x42, 0xDA, 0xAB, 0x8F, 0xCD, 0x61, 0x03, 0x74, 0x96, 0xA3, 0xCC, 0x86, 0x92, 0x6D, 0x45, 0x2C, 0xAF, 0xCF, 0xD5, 0x5D, 0x25, 0x97, 0x2C, 0xA1, 0x67, 0x5D, 0x54, 0x93, 0x10, 0xDE, 0x29, 0x6B, 0xFF, 0x42, 0xF7, 0x2E, 0xEE, 0xA8, 0xC9 }, + { 0xF9, 0x54, 0x66, 0xD0, 0x86, 0x77, 0x0E, 0x68, 0x99, 0x64, 0x66, 0x42, 0x19, 0x26, 0x6F, 0xE5, 0xED, 0x21, 0x5C, 0x92, 0xAE, 0x20, 0xBA, 0xB5, 0xC9, 0xD7, 0x9A, 0xDD, 0xDD, 0xF3, 0xC0, 0xCF }, + { + { 0x03, 0x93, 0x5F, 0x97, 0x2D, 0xA0, 0x13, 0xF8, 0x0A, 0xE0, 0x11, 0x89, 0x0F, 0xA8, 0x9B, 0x67, 0xA2, 0x7B, 0x7B, 0xE6, 0xCC, 0xB2, 0x4D, 0x32, 0x74, 0xD1, 0x8B, 0x2D, 0x40, 0x67, 0xF2, 0x61, 0xA9 }, + { 0x02, 0xF9, 0x30, 0x8A, 0x01, 0x92, 0x58, 0xC3, 0x10, 0x49, 0x34, 0x4F, 0x85, 0xF8, 0x9D, 0x52, 0x29, 0xB5, 0x31, 0xC8, 0x45, 0x83, 0x6F, 0x99, 0xB0, 0x86, 0x01, 0xF1, 0x13, 0xBC, 0xE0, 0x36, 0xF9 }, + { 0x02, 0xDF, 0xF1, 0xD7, 0x7F, 0x2A, 0x67, 0x1C, 0x5F, 0x36, 0x18, 0x37, 0x26, 0xDB, 0x23, 0x41, 0xBE, 0x58, 0xFE, 0xAE, 0x1D, 0xA2, 0xDE, 0xCE, 0xD8, 0x43, 0x24, 0x0F, 0x7B, 0x50, 0x2B, 0xA6, 0x59 } + }, + { + { 0x03, 0x37, 0xC8, 0x78, 0x21, 0xAF, 0xD5, 0x0A, 0x86, 0x44, 0xD8, 0x20, 0xA8, 0xF3, 0xE0, 0x2E, 0x49, 0x9C, 0x93, 0x18, 0x65, 0xC2, 0x36, 0x0F, 0xB4, 0x3D, 0x0A, 0x0D, 0x20, 0xDA, 0xFE, 0x07, 0xEA, 0x02, 0x87, 0xBF, 0x89, 0x1D, 0x2A, 0x6D, 0xEA, 0xEB, 0xAD, 0xC9, 0x09, 0x35, 0x2A, 0xA9, 0x40, 0x5D, 0x14, 0x28, 0xC1, 0x5F, 0x4B, 0x75, 0xF0, 0x4D, 0xAE, 0x64, 0x2A, 0x95, 0xC2, 0x54, 0x84, 0x80 }, + { 0x02, 0x79, 0xBE, 0x66, 0x7E, 0xF9, 0xDC, 0xBB, 0xAC, 0x55, 0xA0, 0x62, 0x95, 0xCE, 0x87, 0x0B, 0x07, 0x02, 0x9B, 0xFC, 0xDB, 0x2D, 0xCE, 0x28, 0xD9, 0x59, 0xF2, 0x81, 0x5B, 0x16, 0xF8, 0x17, 0x98, 0x02, 0x79, 0xBE, 0x66, 0x7E, 0xF9, 0xDC, 0xBB, 0xAC, 0x55, 0xA0, 0x62, 0x95, 0xCE, 0x87, 0x0B, 0x07, 0x02, 0x9B, 0xFC, 0xDB, 0x2D, 0xCE, 0x28, 0xD9, 0x59, 0xF2, 0x81, 0x5B, 0x16, 0xF8, 0x17, 0x98 }, + { 0x03, 0x2D, 0xE2, 0x66, 0x26, 0x28, 0xC9, 0x0B, 0x03, 0xF5, 0xE7, 0x20, 0x28, 0x4E, 0xB5, 0x2F, 0xF7, 0xD7, 0x1F, 0x42, 0x84, 0xF6, 0x27, 0xB6, 0x8A, 0x85, 0x3D, 0x78, 0xC7, 0x8E, 0x1F, 0xFE, 0x93, 0x03, 0xE4, 0xC5, 0x52, 0x4E, 0x83, 0xFF, 0xE1, 0x49, 0x3B, 0x90, 0x77, 0xCF, 0x1C, 0xA6, 0xBE, 0xB2, 0x09, 0x0C, 0x93, 0xD9, 0x30, 0x32, 0x10, 0x71, 0xAD, 0x40, 0xB2, 0xF4, 0x4E, 0x59, 0x90, 0x46 } + }, + { + { 0xE8, 0xF7, 0x91, 0xFF, 0x92, 0x25, 0xA2, 0xAF, 0x01, 0x02, 0xAF, 0xFF, 0x4A, 0x9A, 0x72, 0x3D, 0x96, 0x12, 0xA6, 0x82, 0xA2, 0x5E, 0xBE, 0x79, 0x80, 0x2B, 0x26, 0x3C, 0xDF, 0xCD, 0x83, 0xBB }, + { 0xAE, 0x2E, 0xA7, 0x97, 0xCC, 0x0F, 0xE7, 0x2A, 0xC5, 0xB9, 0x7B, 0x97, 0xF3, 0xC6, 0x95, 0x7D, 0x7E, 0x41, 0x99, 0xA1, 0x67, 0xA5, 0x8E, 0xB0, 0x8B, 0xCA, 0xFF, 0xDA, 0x70, 0xAC, 0x04, 0x55 }, + { 0xF5, 0x2E, 0xCB, 0xC5, 0x65, 0xB3, 0xD8, 0xBE, 0xA2, 0xDF, 0xD5, 0xB7, 0x5A, 0x4F, 0x45, 0x7E, 0x54, 0x36, 0x98, 0x09, 0x32, 0x2E, 0x41, 0x20, 0x83, 0x16, 0x26, 0xF2, 0x90, 0xFA, 0x87, 0xE0 }, + { 0x19, 0x69, 0xAD, 0x73, 0xCC, 0x17, 0x7F, 0xA0, 0xB4, 0xFC, 0xED, 0x6D, 0xF1, 0xF7, 0xBF, 0x99, 0x07, 0xE6, 0x65, 0xFD, 0xE9, 0xBA, 0x19, 0x6A, 0x74, 0xFE, 0xD0, 0xA3, 0xCF, 0x5A, 0xEF, 0x9D }, + { 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFE, 0xBA, 0xAE, 0xDC, 0xE6, 0xAF, 0x48, 0xA0, 0x3B, 0xBF, 0xD2, 0x5E, 0x8C, 0xD0, 0x36, 0x41, 0x41 } + }, + { + { 3, { 1, 2, 0 }, 3, { 1, 2, 0 }, 1, { 0 }, { 1 }, 2, { 0xE2, 0x8A, 0x5C, 0x66, 0xE6, 0x1E, 0x17, 0x8C, 0x2B, 0xA1, 0x9D, 0xB7, 0x7B, 0x6C, 0xF9, 0xF7, 0xE2, 0xF0, 0xF5, 0x6C, 0x17, 0x91, 0x8C, 0xD1, 0x31, 0x35, 0xE6, 0x0C, 0xC8, 0x48, 0xFE, 0x91 }}, + { 3, { 1, 2, 0 }, 3, { 1, 2, 0 }, 1, { 0 }, { 0 }, 2, { 0x38, 0xB0, 0x76, 0x77, 0x98, 0x25, 0x2F, 0x21, 0xBF, 0x57, 0x02, 0xC4, 0x80, 0x28, 0xB0, 0x95, 0x42, 0x83, 0x20, 0xF7, 0x3A, 0x4B, 0x14, 0xDB, 0x1E, 0x25, 0xDE, 0x58, 0x54, 0x3D, 0x2D, 0x2D }}, + { 3, { 1, 2, 0 }, 3, { 1, 2, 0 }, 2, { 0, 1 }, { 0, 1 }, 2, { 0x40, 0x8A, 0x0A, 0x21, 0xC4, 0xA0, 0xF5, 0xDA, 0xCA, 0xF9, 0x64, 0x6A, 0xD6, 0xEB, 0x6F, 0xEC, 0xD7, 0xF7, 0xA1, 0x1F, 0x03, 0xED, 0x1F, 0x48, 0xDF, 0xFF, 0x21, 0x85, 0xBC, 0x2C, 0x24, 0x08 }}, + { 3, { 1, 2, 0 }, 3, { 1, 2, 0 }, 4, { 0, 1, 2, 3 }, { 0, 0, 1, 1 }, 2, { 0x45, 0xAB, 0xD2, 0x06, 0xE6, 0x1E, 0x3D, 0xF2, 0xEC, 0x9E, 0x26, 0x4A, 0x6F, 0xEC, 0x82, 0x92, 0x14, 0x1A, 0x63, 0x3C, 0x28, 0x58, 0x63, 0x88, 0x23, 0x55, 0x41, 0xF9, 0xAD, 0xE7, 0x54, 0x35 }}, + { 3, { 1, 2, 0 }, 3, { 1, 2, 0 }, 4, { 0, 1, 2, 3 }, { 1, 0, 1, 0 }, 2, { 0xB2, 0x55, 0xFD, 0xCA, 0xC2, 0x7B, 0x40, 0xC7, 0xCE, 0x78, 0x48, 0xE2, 0xD3, 0xB7, 0xBF, 0x5E, 0xA0, 0xED, 0x75, 0x6D, 0xA8, 0x15, 0x65, 0xAC, 0x80, 0x4C, 0xCC, 0xA3, 0xE1, 0xD5, 0xD2, 0x39 }}, + }, + { + { 3, { 1, 2, 0 }, 3, { 1, 2, 0 }, 1, { 4 }, { 0 }, 2, { 0 }}, + }, +}; + +/* Omit pubnonces in the test vectors because they're only needed for + * implementations that do not directly accept an aggnonce. */ +struct musig_sig_agg_case { + size_t key_indices_len; + size_t key_indices[2]; + size_t tweak_indices_len; + size_t tweak_indices[3]; + int is_xonly[3]; + unsigned char aggnonce[66]; + size_t psig_indices_len; + size_t psig_indices[2]; + /* if valid case */ + unsigned char expected[64]; + /* if error case */ + int invalid_sig_idx; +}; + +struct musig_sig_agg_vector { + unsigned char pubkeys[4][33]; + unsigned char tweaks[3][32]; + unsigned char psigs[9][32]; + unsigned char msg[32]; + struct musig_sig_agg_case valid_case[4]; + struct musig_sig_agg_case error_case[1]; +}; + +static const struct musig_sig_agg_vector musig_sig_agg_vector = { + { + { 0x03, 0x93, 0x5F, 0x97, 0x2D, 0xA0, 0x13, 0xF8, 0x0A, 0xE0, 0x11, 0x89, 0x0F, 0xA8, 0x9B, 0x67, 0xA2, 0x7B, 0x7B, 0xE6, 0xCC, 0xB2, 0x4D, 0x32, 0x74, 0xD1, 0x8B, 0x2D, 0x40, 0x67, 0xF2, 0x61, 0xA9 }, + { 0x02, 0xD2, 0xDC, 0x6F, 0x5D, 0xF7, 0xC5, 0x6A, 0xCF, 0x38, 0xC7, 0xFA, 0x0A, 0xE7, 0xA7, 0x59, 0xAE, 0x30, 0xE1, 0x9B, 0x37, 0x35, 0x9D, 0xFD, 0xE0, 0x15, 0x87, 0x23, 0x24, 0xC7, 0xEF, 0x6E, 0x05 }, + { 0x03, 0xC7, 0xFB, 0x10, 0x1D, 0x97, 0xFF, 0x93, 0x0A, 0xCD, 0x0C, 0x67, 0x60, 0x85, 0x2E, 0xF6, 0x4E, 0x69, 0x08, 0x3D, 0xE0, 0xB0, 0x6A, 0xC6, 0x33, 0x57, 0x24, 0x75, 0x4B, 0xB4, 0xB0, 0x52, 0x2C }, + { 0x02, 0x35, 0x24, 0x33, 0xB2, 0x1E, 0x7E, 0x05, 0xD3, 0xB4, 0x52, 0xB8, 0x1C, 0xAE, 0x56, 0x6E, 0x06, 0xD2, 0xE0, 0x03, 0xEC, 0xE1, 0x6D, 0x10, 0x74, 0xAA, 0xBA, 0x42, 0x89, 0xE0, 0xE3, 0xD5, 0x81 } + }, + { + { 0xB5, 0x11, 0xDA, 0x49, 0x21, 0x82, 0xA9, 0x1B, 0x0F, 0xFB, 0x9A, 0x98, 0x02, 0x0D, 0x55, 0xF2, 0x60, 0xAE, 0x86, 0xD7, 0xEC, 0xBD, 0x03, 0x99, 0xC7, 0x38, 0x3D, 0x59, 0xA5, 0xF2, 0xAF, 0x7C }, + { 0xA8, 0x15, 0xFE, 0x04, 0x9E, 0xE3, 0xC5, 0xAA, 0xB6, 0x63, 0x10, 0x47, 0x7F, 0xBC, 0x8B, 0xCC, 0xCA, 0xC2, 0xF3, 0x39, 0x5F, 0x59, 0xF9, 0x21, 0xC3, 0x64, 0xAC, 0xD7, 0x8A, 0x2F, 0x48, 0xDC }, + { 0x75, 0x44, 0x8A, 0x87, 0x27, 0x4B, 0x05, 0x64, 0x68, 0xB9, 0x77, 0xBE, 0x06, 0xEB, 0x1E, 0x9F, 0x65, 0x75, 0x77, 0xB7, 0x32, 0x0B, 0x0A, 0x33, 0x76, 0xEA, 0x51, 0xFD, 0x42, 0x0D, 0x18, 0xA8 } + }, + { + { 0xB1, 0x5D, 0x2C, 0xD3, 0xC3, 0xD2, 0x2B, 0x04, 0xDA, 0xE4, 0x38, 0xCE, 0x65, 0x3F, 0x6B, 0x4E, 0xCF, 0x04, 0x2F, 0x42, 0xCF, 0xDE, 0xD7, 0xC4, 0x1B, 0x64, 0xAA, 0xF9, 0xB4, 0xAF, 0x53, 0xFB }, + { 0x61, 0x93, 0xD6, 0xAC, 0x61, 0xB3, 0x54, 0xE9, 0x10, 0x5B, 0xBD, 0xC8, 0x93, 0x7A, 0x34, 0x54, 0xA6, 0xD7, 0x05, 0xB6, 0xD5, 0x73, 0x22, 0xA5, 0xA4, 0x72, 0xA0, 0x2C, 0xE9, 0x9F, 0xCB, 0x64 }, + { 0x9A, 0x87, 0xD3, 0xB7, 0x9E, 0xC6, 0x72, 0x28, 0xCB, 0x97, 0x87, 0x8B, 0x76, 0x04, 0x9B, 0x15, 0xDB, 0xD0, 0x5B, 0x81, 0x58, 0xD1, 0x7B, 0x5B, 0x91, 0x14, 0xD3, 0xC2, 0x26, 0x88, 0x75, 0x05 }, + { 0x66, 0xF8, 0x2E, 0xA9, 0x09, 0x23, 0x68, 0x9B, 0x85, 0x5D, 0x36, 0xC6, 0xB7, 0xE0, 0x32, 0xFB, 0x99, 0x70, 0x30, 0x14, 0x81, 0xB9, 0x9E, 0x01, 0xCD, 0xB4, 0xD6, 0xAC, 0x7C, 0x34, 0x7A, 0x15 }, + { 0x4F, 0x5A, 0xEE, 0x41, 0x51, 0x08, 0x48, 0xA6, 0x44, 0x7D, 0xCD, 0x1B, 0xBC, 0x78, 0x45, 0x7E, 0xF6, 0x90, 0x24, 0x94, 0x4C, 0x87, 0xF4, 0x02, 0x50, 0xD3, 0xEF, 0x2C, 0x25, 0xD3, 0x3E, 0xFE }, + { 0xDD, 0xEF, 0x42, 0x7B, 0xBB, 0x84, 0x7C, 0xC0, 0x27, 0xBE, 0xFF, 0x4E, 0xDB, 0x01, 0x03, 0x81, 0x48, 0x91, 0x78, 0x32, 0x25, 0x3E, 0xBC, 0x35, 0x5F, 0xC3, 0x3F, 0x4A, 0x8E, 0x2F, 0xCC, 0xE4 }, + { 0x97, 0xB8, 0x90, 0xA2, 0x6C, 0x98, 0x1D, 0xA8, 0x10, 0x2D, 0x3B, 0xC2, 0x94, 0x15, 0x9D, 0x17, 0x1D, 0x72, 0x81, 0x0F, 0xDF, 0x7C, 0x6A, 0x69, 0x1D, 0xEF, 0x02, 0xF0, 0xF7, 0xAF, 0x3F, 0xDC }, + { 0x53, 0xFA, 0x9E, 0x08, 0xBA, 0x52, 0x43, 0xCB, 0xCB, 0x0D, 0x79, 0x7C, 0x5E, 0xE8, 0x3B, 0xC6, 0x72, 0x8E, 0x53, 0x9E, 0xB7, 0x6C, 0x2D, 0x0B, 0xF0, 0xF9, 0x71, 0xEE, 0x4E, 0x90, 0x99, 0x71 }, + { 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFE, 0xBA, 0xAE, 0xDC, 0xE6, 0xAF, 0x48, 0xA0, 0x3B, 0xBF, 0xD2, 0x5E, 0x8C, 0xD0, 0x36, 0x41, 0x41 } + }, + { 0x59, 0x9C, 0x67, 0xEA, 0x41, 0x0D, 0x00, 0x5B, 0x9D, 0xA9, 0x08, 0x17, 0xCF, 0x03, 0xED, 0x3B, 0x1C, 0x86, 0x8E, 0x4D, 0xA4, 0xED, 0xF0, 0x0A, 0x58, 0x80, 0xB0, 0x08, 0x2C, 0x23, 0x78, 0x69 }, + { + { 2, { 0, 1 }, 0, { 0 }, { 0 }, { 0x03, 0x41, 0x43, 0x27, 0x22, 0xC5, 0xCD, 0x02, 0x68, 0xD8, 0x29, 0xC7, 0x02, 0xCF, 0x0D, 0x1C, 0xBC, 0xE5, 0x70, 0x33, 0xEE, 0xD2, 0x01, 0xFD, 0x33, 0x51, 0x91, 0x38, 0x52, 0x27, 0xC3, 0x21, 0x0C, 0x03, 0xD3, 0x77, 0xF2, 0xD2, 0x58, 0xB6, 0x4A, 0xAD, 0xC0, 0xE1, 0x6F, 0x26, 0x46, 0x23, 0x23, 0xD7, 0x01, 0xD2, 0x86, 0x04, 0x6A, 0x2E, 0xA9, 0x33, 0x65, 0x65, 0x6A, 0xFD, 0x98, 0x75, 0x98, 0x2B }, 2, { 0, 1 }, { 0x04, 0x1D, 0xA2, 0x22, 0x23, 0xCE, 0x65, 0xC9, 0x2C, 0x9A, 0x0D, 0x6C, 0x2C, 0xAC, 0x82, 0x8A, 0xAF, 0x1E, 0xEE, 0x56, 0x30, 0x4F, 0xEC, 0x37, 0x1D, 0xDF, 0x91, 0xEB, 0xB2, 0xB9, 0xEF, 0x09, 0x12, 0xF1, 0x03, 0x80, 0x25, 0x85, 0x7F, 0xED, 0xEB, 0x3F, 0xF6, 0x96, 0xF8, 0xB9, 0x9F, 0xA4, 0xBB, 0x2C, 0x58, 0x12, 0xF6, 0x09, 0x5A, 0x2E, 0x00, 0x04, 0xEC, 0x99, 0xCE, 0x18, 0xDE, 0x1E }, 0 }, + { 2, { 0, 2 }, 0, { 0 }, { 0 }, { 0x02, 0x24, 0xAF, 0xD3, 0x6C, 0x90, 0x20, 0x84, 0x05, 0x8B, 0x51, 0xB5, 0xD3, 0x66, 0x76, 0xBB, 0xA4, 0xDC, 0x97, 0xC7, 0x75, 0x87, 0x37, 0x68, 0xE5, 0x88, 0x22, 0xF8, 0x7F, 0xE4, 0x37, 0xD7, 0x92, 0x02, 0x8C, 0xB1, 0x59, 0x29, 0x09, 0x9E, 0xEE, 0x2F, 0x5D, 0xAE, 0x40, 0x4C, 0xD3, 0x93, 0x57, 0x59, 0x1B, 0xA3, 0x2E, 0x9A, 0xF4, 0xE1, 0x62, 0xB8, 0xD3, 0xE7, 0xCB, 0x5E, 0xFE, 0x31, 0xCB, 0x20 }, 2, { 2, 3 }, { 0x10, 0x69, 0xB6, 0x7E, 0xC3, 0xD2, 0xF3, 0xC7, 0xC0, 0x82, 0x91, 0xAC, 0xCB, 0x17, 0xA9, 0xC9, 0xB8, 0xF2, 0x81, 0x9A, 0x52, 0xEB, 0x5D, 0xF8, 0x72, 0x6E, 0x17, 0xE7, 0xD6, 0xB5, 0x2E, 0x9F, 0x01, 0x80, 0x02, 0x60, 0xA7, 0xE9, 0xDA, 0xC4, 0x50, 0xF4, 0xBE, 0x52, 0x2D, 0xE4, 0xCE, 0x12, 0xBA, 0x91, 0xAE, 0xAF, 0x2B, 0x42, 0x79, 0x21, 0x9E, 0xF7, 0x4B, 0xE1, 0xD2, 0x86, 0xAD, 0xD9 }, 0 }, + { 2, { 0, 2 }, 1, { 0 }, { 0 }, { 0x02, 0x08, 0xC5, 0xC4, 0x38, 0xC7, 0x10, 0xF4, 0xF9, 0x6A, 0x61, 0xE9, 0xFF, 0x3C, 0x37, 0x75, 0x88, 0x14, 0xB8, 0xC3, 0xAE, 0x12, 0xBF, 0xEA, 0x0E, 0xD2, 0xC8, 0x7F, 0xF6, 0x95, 0x4F, 0xF1, 0x86, 0x02, 0x0B, 0x18, 0x16, 0xEA, 0x10, 0x4B, 0x4F, 0xCA, 0x2D, 0x30, 0x4D, 0x73, 0x3E, 0x0E, 0x19, 0xCE, 0xAD, 0x51, 0x30, 0x3F, 0xF6, 0x42, 0x0B, 0xFD, 0x22, 0x23, 0x35, 0xCA, 0xA4, 0x02, 0x91, 0x6D }, 2, { 4, 5 }, { 0x5C, 0x55, 0x8E, 0x1D, 0xCA, 0xDE, 0x86, 0xDA, 0x0B, 0x2F, 0x02, 0x62, 0x6A, 0x51, 0x2E, 0x30, 0xA2, 0x2C, 0xF5, 0x25, 0x5C, 0xAE, 0xA7, 0xEE, 0x32, 0xC3, 0x8E, 0x9A, 0x71, 0xA0, 0xE9, 0x14, 0x8B, 0xA6, 0xC0, 0xE6, 0xEC, 0x76, 0x83, 0xB6, 0x42, 0x20, 0xF0, 0x29, 0x86, 0x96, 0xF1, 0xB8, 0x78, 0xCD, 0x47, 0xB1, 0x07, 0xB8, 0x1F, 0x71, 0x88, 0x81, 0x2D, 0x59, 0x39, 0x71, 0xE0, 0xCC }, 0 }, + { 2, { 0, 3 }, 3, { 0, 1, 2 }, { 1, 0, 1 }, { 0x02, 0xB5, 0xAD, 0x07, 0xAF, 0xCD, 0x99, 0xB6, 0xD9, 0x2C, 0xB4, 0x33, 0xFB, 0xD2, 0xA2, 0x8F, 0xDE, 0xB9, 0x8E, 0xAE, 0x2E, 0xB0, 0x9B, 0x60, 0x14, 0xEF, 0x0F, 0x81, 0x97, 0xCD, 0x58, 0x40, 0x33, 0x02, 0xE8, 0x61, 0x69, 0x10, 0xF9, 0x29, 0x3C, 0xF6, 0x92, 0xC4, 0x9F, 0x35, 0x1D, 0xB8, 0x6B, 0x25, 0xE3, 0x52, 0x90, 0x1F, 0x0E, 0x23, 0x7B, 0xAF, 0xDA, 0x11, 0xF1, 0xC1, 0xCE, 0xF2, 0x9F, 0xFD }, 2, { 6, 7 }, { 0x83, 0x9B, 0x08, 0x82, 0x0B, 0x68, 0x1D, 0xBA, 0x8D, 0xAF, 0x4C, 0xC7, 0xB1, 0x04, 0xE8, 0xF2, 0x63, 0x8F, 0x93, 0x88, 0xF8, 0xD7, 0xA5, 0x55, 0xDC, 0x17, 0xB6, 0xE6, 0x97, 0x1D, 0x74, 0x26, 0xCE, 0x07, 0xBF, 0x6A, 0xB0, 0x1F, 0x1D, 0xB5, 0x0E, 0x4E, 0x33, 0x71, 0x92, 0x95, 0xF4, 0x09, 0x45, 0x72, 0xB7, 0x98, 0x68, 0xE4, 0x40, 0xFB, 0x3D, 0xEF, 0xD3, 0xFA, 0xC1, 0xDB, 0x58, 0x9E }, 0 }, + }, + { + { 2, { 0, 3 }, 3, { 0, 1, 2 }, { 1, 0, 1 }, { 0x02, 0xB5, 0xAD, 0x07, 0xAF, 0xCD, 0x99, 0xB6, 0xD9, 0x2C, 0xB4, 0x33, 0xFB, 0xD2, 0xA2, 0x8F, 0xDE, 0xB9, 0x8E, 0xAE, 0x2E, 0xB0, 0x9B, 0x60, 0x14, 0xEF, 0x0F, 0x81, 0x97, 0xCD, 0x58, 0x40, 0x33, 0x02, 0xE8, 0x61, 0x69, 0x10, 0xF9, 0x29, 0x3C, 0xF6, 0x92, 0xC4, 0x9F, 0x35, 0x1D, 0xB8, 0x6B, 0x25, 0xE3, 0x52, 0x90, 0x1F, 0x0E, 0x23, 0x7B, 0xAF, 0xDA, 0x11, 0xF1, 0xC1, 0xCE, 0xF2, 0x9F, 0xFD }, 2, { 7, 8 }, { 0 }, 1 }, + }, +}; +enum { MUSIG_VECTORS_MAX_PUBKEYS = 7 }; diff --git a/src/modules/recovery/main_impl.h b/src/modules/recovery/main_impl.h index e7906eb62e..76a005e017 100644 --- a/src/modules/recovery/main_impl.h +++ b/src/modules/recovery/main_impl.h @@ -98,7 +98,7 @@ static int secp256k1_ecdsa_sig_recover(const secp256k1_scalar *sigr, const secp2 } secp256k1_scalar_get_b32(brx, sigr); - r = secp256k1_fe_set_b32(&fx, brx); + r = secp256k1_fe_set_b32_limit(&fx, brx); (void)r; VERIFY_CHECK(r); /* brx comes from a scalar, so is less than the order; certainly less than p */ if (recid & 2) { diff --git a/src/modules/recovery/tests_impl.h b/src/modules/recovery/tests_impl.h index 3502c71ffe..09554a242e 100644 --- a/src/modules/recovery/tests_impl.h +++ b/src/modules/recovery/tests_impl.h @@ -7,6 +7,8 @@ #ifndef SECP256K1_MODULE_RECOVERY_TESTS_H #define SECP256K1_MODULE_RECOVERY_TESTS_H +#include "../../unit_test.h" + static int recovery_test_nonce_function(unsigned char *nonce32, const unsigned char *msg32, const unsigned char *key32, const unsigned char *algo16, void *data, unsigned int counter) { (void) msg32; (void) key32; @@ -25,10 +27,10 @@ static int recovery_test_nonce_function(unsigned char *nonce32, const unsigned c } /* On the next run, return a valid nonce, but flip a coin as to whether or not to fail signing. */ memset(nonce32, 1, 32); - return secp256k1_testrand_bits(1); + return testrand_bits(1); } -static void test_ecdsa_recovery_api(void) { +static void test_ecdsa_recovery_api_internal(void) { /* Setup contexts that just count errors */ secp256k1_pubkey pubkey; secp256k1_pubkey recpubkey; @@ -36,7 +38,6 @@ static void test_ecdsa_recovery_api(void) { secp256k1_ecdsa_recoverable_signature recsig; unsigned char privkey[32] = { 1 }; unsigned char message[32] = { 2 }; - int32_t ecount = 0; int recid = 0; unsigned char sig[74]; unsigned char zero_privkey[32] = { 0 }; @@ -45,89 +46,55 @@ static void test_ecdsa_recovery_api(void) { 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff }; - secp256k1_context_set_error_callback(CTX, counting_illegal_callback_fn, &ecount); - secp256k1_context_set_illegal_callback(CTX, counting_illegal_callback_fn, &ecount); - secp256k1_context_set_error_callback(STATIC_CTX, counting_illegal_callback_fn, &ecount); - secp256k1_context_set_illegal_callback(STATIC_CTX, counting_illegal_callback_fn, &ecount); - /* Construct and verify corresponding public key. */ CHECK(secp256k1_ec_seckey_verify(CTX, privkey) == 1); CHECK(secp256k1_ec_pubkey_create(CTX, &pubkey, privkey) == 1); /* Check bad contexts and NULLs for signing */ - ecount = 0; CHECK(secp256k1_ecdsa_sign_recoverable(CTX, &recsig, message, privkey, NULL, NULL) == 1); - CHECK(ecount == 0); - CHECK(secp256k1_ecdsa_sign_recoverable(CTX, NULL, message, privkey, NULL, NULL) == 0); - CHECK(ecount == 1); - CHECK(secp256k1_ecdsa_sign_recoverable(CTX, &recsig, NULL, privkey, NULL, NULL) == 0); - CHECK(ecount == 2); - CHECK(secp256k1_ecdsa_sign_recoverable(CTX, &recsig, message, NULL, NULL, NULL) == 0); - CHECK(ecount == 3); - CHECK(secp256k1_ecdsa_sign_recoverable(STATIC_CTX, &recsig, message, privkey, NULL, NULL) == 0); - CHECK(ecount == 4); + CHECK_ILLEGAL(CTX, secp256k1_ecdsa_sign_recoverable(CTX, NULL, message, privkey, NULL, NULL)); + CHECK_ILLEGAL(CTX, secp256k1_ecdsa_sign_recoverable(CTX, &recsig, NULL, privkey, NULL, NULL)); + CHECK_ILLEGAL(CTX, secp256k1_ecdsa_sign_recoverable(CTX, &recsig, message, NULL, NULL, NULL)); + CHECK_ILLEGAL(STATIC_CTX, secp256k1_ecdsa_sign_recoverable(STATIC_CTX, &recsig, message, privkey, NULL, NULL)); /* This will fail or succeed randomly, and in either case will not ARG_CHECK failure */ secp256k1_ecdsa_sign_recoverable(CTX, &recsig, message, privkey, recovery_test_nonce_function, NULL); - CHECK(ecount == 4); /* These will all fail, but not in ARG_CHECK way */ CHECK(secp256k1_ecdsa_sign_recoverable(CTX, &recsig, message, zero_privkey, NULL, NULL) == 0); CHECK(secp256k1_ecdsa_sign_recoverable(CTX, &recsig, message, over_privkey, NULL, NULL) == 0); /* This one will succeed. */ CHECK(secp256k1_ecdsa_sign_recoverable(CTX, &recsig, message, privkey, NULL, NULL) == 1); - CHECK(ecount == 4); /* Check signing with a goofy nonce function */ /* Check bad contexts and NULLs for recovery */ - ecount = 0; CHECK(secp256k1_ecdsa_recover(CTX, &recpubkey, &recsig, message) == 1); - CHECK(ecount == 0); - CHECK(secp256k1_ecdsa_recover(CTX, NULL, &recsig, message) == 0); - CHECK(ecount == 1); - CHECK(secp256k1_ecdsa_recover(CTX, &recpubkey, NULL, message) == 0); - CHECK(ecount == 2); - CHECK(secp256k1_ecdsa_recover(CTX, &recpubkey, &recsig, NULL) == 0); - CHECK(ecount == 3); + CHECK_ILLEGAL(CTX, secp256k1_ecdsa_recover(CTX, NULL, &recsig, message)); + CHECK_ILLEGAL(CTX, secp256k1_ecdsa_recover(CTX, &recpubkey, NULL, message)); + CHECK_ILLEGAL(CTX, secp256k1_ecdsa_recover(CTX, &recpubkey, &recsig, NULL)); /* Check NULLs for conversion */ CHECK(secp256k1_ecdsa_sign(CTX, &normal_sig, message, privkey, NULL, NULL) == 1); - ecount = 0; - CHECK(secp256k1_ecdsa_recoverable_signature_convert(CTX, NULL, &recsig) == 0); - CHECK(ecount == 1); - CHECK(secp256k1_ecdsa_recoverable_signature_convert(CTX, &normal_sig, NULL) == 0); - CHECK(ecount == 2); + CHECK_ILLEGAL(CTX, secp256k1_ecdsa_recoverable_signature_convert(CTX, NULL, &recsig)); + CHECK_ILLEGAL(CTX, secp256k1_ecdsa_recoverable_signature_convert(CTX, &normal_sig, NULL)); CHECK(secp256k1_ecdsa_recoverable_signature_convert(CTX, &normal_sig, &recsig) == 1); /* Check NULLs for de/serialization */ CHECK(secp256k1_ecdsa_sign_recoverable(CTX, &recsig, message, privkey, NULL, NULL) == 1); - ecount = 0; - CHECK(secp256k1_ecdsa_recoverable_signature_serialize_compact(CTX, NULL, &recid, &recsig) == 0); - CHECK(ecount == 1); - CHECK(secp256k1_ecdsa_recoverable_signature_serialize_compact(CTX, sig, NULL, &recsig) == 0); - CHECK(ecount == 2); - CHECK(secp256k1_ecdsa_recoverable_signature_serialize_compact(CTX, sig, &recid, NULL) == 0); - CHECK(ecount == 3); + CHECK_ILLEGAL(CTX, secp256k1_ecdsa_recoverable_signature_serialize_compact(CTX, NULL, &recid, &recsig)); + CHECK_ILLEGAL(CTX, secp256k1_ecdsa_recoverable_signature_serialize_compact(CTX, sig, NULL, &recsig)); + CHECK_ILLEGAL(CTX, secp256k1_ecdsa_recoverable_signature_serialize_compact(CTX, sig, &recid, NULL)); CHECK(secp256k1_ecdsa_recoverable_signature_serialize_compact(CTX, sig, &recid, &recsig) == 1); - CHECK(secp256k1_ecdsa_recoverable_signature_parse_compact(CTX, NULL, sig, recid) == 0); - CHECK(ecount == 4); - CHECK(secp256k1_ecdsa_recoverable_signature_parse_compact(CTX, &recsig, NULL, recid) == 0); - CHECK(ecount == 5); - CHECK(secp256k1_ecdsa_recoverable_signature_parse_compact(CTX, &recsig, sig, -1) == 0); - CHECK(ecount == 6); - CHECK(secp256k1_ecdsa_recoverable_signature_parse_compact(CTX, &recsig, sig, 5) == 0); - CHECK(ecount == 7); - /* overflow in signature will fail but not affect ecount */ + CHECK_ILLEGAL(CTX, secp256k1_ecdsa_recoverable_signature_parse_compact(CTX, NULL, sig, recid)); + CHECK_ILLEGAL(CTX, secp256k1_ecdsa_recoverable_signature_parse_compact(CTX, &recsig, NULL, recid)); + CHECK_ILLEGAL(CTX, secp256k1_ecdsa_recoverable_signature_parse_compact(CTX, &recsig, sig, -1)); + CHECK_ILLEGAL(CTX, secp256k1_ecdsa_recoverable_signature_parse_compact(CTX, &recsig, sig, 5)); + /* overflow in signature will not result in calling illegal_callback */ memcpy(sig, over_privkey, 32); CHECK(secp256k1_ecdsa_recoverable_signature_parse_compact(CTX, &recsig, sig, recid) == 0); - CHECK(ecount == 7); - - /* cleanup */ - secp256k1_context_set_error_callback(STATIC_CTX, NULL, NULL); - secp256k1_context_set_illegal_callback(STATIC_CTX, NULL, NULL); } -static void test_ecdsa_recovery_end_to_end(void) { +static void test_ecdsa_recovery_end_to_end_internal(void) { unsigned char extra[32] = {0x00}; unsigned char privkey[32]; unsigned char message[32]; @@ -141,8 +108,8 @@ static void test_ecdsa_recovery_end_to_end(void) { /* Generate a random key and message. */ { secp256k1_scalar msg, key; - random_scalar_order_test(&msg); - random_scalar_order_test(&key); + testutil_random_scalar_order_test(&msg); + testutil_random_scalar_order_test(&key); secp256k1_scalar_get_b32(privkey, &key); secp256k1_scalar_get_b32(message, &msg); } @@ -176,7 +143,7 @@ static void test_ecdsa_recovery_end_to_end(void) { CHECK(secp256k1_memcmp_var(&pubkey, &recpubkey, sizeof(pubkey)) == 0); /* Serialize/destroy/parse signature and verify again. */ CHECK(secp256k1_ecdsa_recoverable_signature_serialize_compact(CTX, sig, &recid, &rsignature[4]) == 1); - sig[secp256k1_testrand_bits(6)] += 1 + secp256k1_testrand_int(255); + sig[testrand_bits(6)] += 1 + testrand_int(255); CHECK(secp256k1_ecdsa_recoverable_signature_parse_compact(CTX, &rsignature[4], sig, recid) == 1); CHECK(secp256k1_ecdsa_recoverable_signature_convert(CTX, &signature[4], &rsignature[4]) == 1); CHECK(secp256k1_ecdsa_verify(CTX, &signature[4], message, &pubkey) == 0); @@ -359,15 +326,14 @@ static void test_ecdsa_recovery_edge_cases(void) { } } -static void run_recovery_tests(void) { - int i; - for (i = 0; i < COUNT; i++) { - test_ecdsa_recovery_api(); - } - for (i = 0; i < 64*COUNT; i++) { - test_ecdsa_recovery_end_to_end(); - } - test_ecdsa_recovery_edge_cases(); -} +/* --- Test registry --- */ +REPEAT_TEST(test_ecdsa_recovery_api) +REPEAT_TEST_MULT(test_ecdsa_recovery_end_to_end, 64) + +static const struct tf_test_entry tests_recovery[] = { + CASE1(test_ecdsa_recovery_api), + CASE1(test_ecdsa_recovery_end_to_end), + CASE1(test_ecdsa_recovery_edge_cases) +}; #endif /* SECP256K1_MODULE_RECOVERY_TESTS_H */ diff --git a/src/modules/schnorrsig/main_impl.h b/src/modules/schnorrsig/main_impl.h index cd651591c4..b410b19eca 100644 --- a/src/modules/schnorrsig/main_impl.h +++ b/src/modules/schnorrsig/main_impl.h @@ -45,7 +45,7 @@ static void secp256k1_nonce_function_bip340_sha256_tagged_aux(secp256k1_sha256 * /* algo argument for nonce_function_bip340 to derive the nonce exactly as stated in BIP-340 * by using the correct tagged hash function. */ -static const unsigned char bip340_algo[13] = "BIP0340/nonce"; +static const unsigned char bip340_algo[] = {'B', 'I', 'P', '0', '3', '4', '0', '/', 'n', 'o', 'n', 'c', 'e'}; static const unsigned char schnorrsig_extraparams_magic[4] = SECP256K1_SCHNORRSIG_EXTRAPARAMS_MAGIC; @@ -93,6 +93,9 @@ static int nonce_function_bip340(unsigned char *nonce32, const unsigned char *ms secp256k1_sha256_write(&sha, xonly_pk32, 32); secp256k1_sha256_write(&sha, msg, msglen); secp256k1_sha256_finalize(&sha, nonce32); + secp256k1_sha256_clear(&sha); + secp256k1_memclear_explicit(masked_key, sizeof(masked_key)); + return 1; } @@ -136,7 +139,7 @@ static int secp256k1_schnorrsig_sign_internal(const secp256k1_context* ctx, unsi secp256k1_gej rj; secp256k1_ge pk; secp256k1_ge r; - unsigned char buf[32] = { 0 }; + unsigned char nonce32[32] = { 0 }; unsigned char pk_buf[32]; unsigned char seckey[32]; int ret = 1; @@ -161,8 +164,8 @@ static int secp256k1_schnorrsig_sign_internal(const secp256k1_context* ctx, unsi secp256k1_scalar_get_b32(seckey, &sk); secp256k1_fe_get_b32(pk_buf, &pk.x); - ret &= !!noncefp(buf, msg, msglen, seckey, pk_buf, bip340_algo, sizeof(bip340_algo), ndata); - secp256k1_scalar_set_b32(&k, buf, NULL); + ret &= !!noncefp(nonce32, msg, msglen, seckey, pk_buf, bip340_algo, sizeof(bip340_algo), ndata); + secp256k1_scalar_set_b32(&k, nonce32, NULL); ret &= !secp256k1_scalar_is_zero(&k); secp256k1_scalar_cmov(&k, &secp256k1_scalar_one, !ret); @@ -187,7 +190,9 @@ static int secp256k1_schnorrsig_sign_internal(const secp256k1_context* ctx, unsi secp256k1_memczero(sig64, 64, !ret); secp256k1_scalar_clear(&k); secp256k1_scalar_clear(&sk); - memset(seckey, 0, sizeof(seckey)); + secp256k1_memclear_explicit(seckey, sizeof(seckey)); + secp256k1_memclear_explicit(nonce32, sizeof(nonce32)); + secp256k1_gej_clear(&rj); return ret; } @@ -232,7 +237,7 @@ int secp256k1_schnorrsig_verify(const secp256k1_context* ctx, const unsigned cha ARG_CHECK(msg != NULL || msglen == 0); ARG_CHECK(pubkey != NULL); - if (!secp256k1_fe_set_b32(&rx, &sig64[0])) { + if (!secp256k1_fe_set_b32_limit(&rx, &sig64[0])) { return 0; } @@ -261,7 +266,7 @@ int secp256k1_schnorrsig_verify(const secp256k1_context* ctx, const unsigned cha secp256k1_fe_normalize_var(&r.y); return !secp256k1_fe_is_odd(&r.y) && - secp256k1_fe_equal_var(&rx, &r.x); + secp256k1_fe_equal(&rx, &r.x); } #endif diff --git a/src/modules/schnorrsig/tests_exhaustive_impl.h b/src/modules/schnorrsig/tests_exhaustive_impl.h index 55f9028a63..601b54975d 100644 --- a/src/modules/schnorrsig/tests_exhaustive_impl.h +++ b/src/modules/schnorrsig/tests_exhaustive_impl.h @@ -104,23 +104,23 @@ static void test_exhaustive_schnorrsig_verify(const secp256k1_context *ctx, cons while (e_count_done < EXHAUSTIVE_TEST_ORDER) { secp256k1_scalar e; unsigned char msg32[32]; - secp256k1_testrand256(msg32); + testrand256(msg32); secp256k1_schnorrsig_challenge(&e, sig64, msg32, sizeof(msg32), pk32); /* Only do work if we hit a challenge we haven't tried before. */ if (!e_done[e]) { /* Iterate over the possible valid last 32 bytes in the signature. 0..order=that s value; order+1=random bytes */ - int count_valid = 0, s; + int count_valid = 0; + unsigned int s; for (s = 0; s <= EXHAUSTIVE_TEST_ORDER + 1; ++s) { int expect_valid, valid; if (s <= EXHAUSTIVE_TEST_ORDER) { - secp256k1_scalar s_s; - secp256k1_scalar_set_int(&s_s, s); - secp256k1_scalar_get_b32(sig64 + 32, &s_s); + memset(sig64 + 32, 0, 32); + secp256k1_write_be32(sig64 + 60, s); expect_valid = actual_k != -1 && s != EXHAUSTIVE_TEST_ORDER && - (s_s == (actual_k + actual_d * e) % EXHAUSTIVE_TEST_ORDER); + (s == (actual_k + actual_d * e) % EXHAUSTIVE_TEST_ORDER); } else { - secp256k1_testrand256(sig64 + 32); + testrand256(sig64 + 32); expect_valid = 0; } valid = secp256k1_schnorrsig_verify(ctx, sig64, msg32, sizeof(msg32), &pubkeys[d - 1]); @@ -161,7 +161,7 @@ static void test_exhaustive_schnorrsig_sign(const secp256k1_context *ctx, unsign /* Generate random messages until all challenges have been tried. */ while (e_count_done < EXHAUSTIVE_TEST_ORDER) { secp256k1_scalar e; - secp256k1_testrand256(msg32); + testrand256(msg32); secp256k1_schnorrsig_challenge(&e, xonly_pubkey_bytes[k - 1], msg32, sizeof(msg32), xonly_pubkey_bytes[d - 1]); /* Only do work if we hit a challenge we haven't tried before. */ if (!e_done[e]) { diff --git a/src/modules/schnorrsig/tests_impl.h b/src/modules/schnorrsig/tests_impl.h index 062005ee63..9a1b15f0b2 100644 --- a/src/modules/schnorrsig/tests_impl.h +++ b/src/modules/schnorrsig/tests_impl.h @@ -8,6 +8,7 @@ #define SECP256K1_MODULE_SCHNORRSIG_TESTS_H #include "../../../include/secp256k1_schnorrsig.h" +#include "../../unit_test.h" /* Checks that a bit flip in the n_flip-th argument (that has n_bytes many * bytes) changes the hash function @@ -15,28 +16,18 @@ static void nonce_function_bip340_bitflip(unsigned char **args, size_t n_flip, size_t n_bytes, size_t msglen, size_t algolen) { unsigned char nonces[2][32]; CHECK(nonce_function_bip340(nonces[0], args[0], msglen, args[1], args[2], args[3], algolen, args[4]) == 1); - secp256k1_testrand_flip(args[n_flip], n_bytes); + testrand_flip(args[n_flip], n_bytes); CHECK(nonce_function_bip340(nonces[1], args[0], msglen, args[1], args[2], args[3], algolen, args[4]) == 1); CHECK(secp256k1_memcmp_var(nonces[0], nonces[1], 32) != 0); } -/* Tests for the equality of two sha256 structs. This function only produces a - * correct result if an integer multiple of 64 many bytes have been written - * into the hash functions. */ -static void test_sha256_eq(const secp256k1_sha256 *sha1, const secp256k1_sha256 *sha2) { - /* Is buffer fully consumed? */ - CHECK((sha1->bytes & 0x3F) == 0); - - CHECK(sha1->bytes == sha2->bytes); - CHECK(secp256k1_memcmp_var(sha1->s, sha2->s, sizeof(sha1->s)) == 0); -} - static void run_nonce_function_bip340_tests(void) { - unsigned char tag[13] = "BIP0340/nonce"; - unsigned char aux_tag[11] = "BIP0340/aux"; - unsigned char algo[13] = "BIP0340/nonce"; + /* "BIP0340/nonce" */ + static const unsigned char tag[] = {'B', 'I', 'P', '0', '3', '4', '0', '/', 'n', 'o', 'n', 'c', 'e'}; + /* "BIP0340/aux" */ + static const unsigned char aux_tag[] = {'B', 'I', 'P', '0', '3', '4', '0', '/', 'a', 'u', 'x'}; + unsigned char algo[] = {'B', 'I', 'P', '0', '3', '4', '0', '/', 'n', 'o', 'n', 'c', 'e'}; size_t algolen = sizeof(algo); - secp256k1_sha256 sha; secp256k1_sha256 sha_optimized; unsigned char nonce[32], nonce_z[32]; unsigned char msg[32]; @@ -50,21 +41,20 @@ static void run_nonce_function_bip340_tests(void) { /* Check that hash initialized by * secp256k1_nonce_function_bip340_sha256_tagged has the expected * state. */ - secp256k1_sha256_initialize_tagged(&sha, tag, sizeof(tag)); secp256k1_nonce_function_bip340_sha256_tagged(&sha_optimized); - test_sha256_eq(&sha, &sha_optimized); + test_sha256_tag_midstate(&sha_optimized, tag, sizeof(tag)); + /* Check that hash initialized by * secp256k1_nonce_function_bip340_sha256_tagged_aux has the expected * state. */ - secp256k1_sha256_initialize_tagged(&sha, aux_tag, sizeof(aux_tag)); secp256k1_nonce_function_bip340_sha256_tagged_aux(&sha_optimized); - test_sha256_eq(&sha, &sha_optimized); + test_sha256_tag_midstate(&sha_optimized, aux_tag, sizeof(aux_tag)); - secp256k1_testrand256(msg); - secp256k1_testrand256(key); - secp256k1_testrand256(pk); - secp256k1_testrand256(aux_rand); + testrand256(msg); + testrand256(key); + testrand256(pk); + testrand256(aux_rand); /* Check that a bitflip in an argument results in different nonces. */ args[0] = msg; @@ -87,12 +77,12 @@ static void run_nonce_function_bip340_tests(void) { CHECK(nonce_function_bip340(nonce, msg, msglen, key, pk, NULL, 0, NULL) == 0); CHECK(nonce_function_bip340(nonce, msg, msglen, key, pk, algo, algolen, NULL) == 1); /* Other algo is fine */ - secp256k1_testrand_bytes_test(algo, algolen); + testrand_bytes_test(algo, algolen); CHECK(nonce_function_bip340(nonce, msg, msglen, key, pk, algo, algolen, NULL) == 1); for (i = 0; i < COUNT; i++) { unsigned char nonce2[32]; - uint32_t offset = secp256k1_testrand_int(msglen - 1); + uint32_t offset = testrand_int(msglen - 1); size_t msglen_tmp = (msglen + offset) % msglen; size_t algolen_tmp; @@ -101,7 +91,7 @@ static void run_nonce_function_bip340_tests(void) { CHECK(secp256k1_memcmp_var(nonce, nonce2, 32) != 0); /* Different algolen gives different nonce */ - offset = secp256k1_testrand_int(algolen - 1); + offset = testrand_int(algolen - 1); algolen_tmp = (algolen + offset) % algolen; CHECK(nonce_function_bip340(nonce2, msg, msglen, key, pk, algo, algolen_tmp, NULL) == 1); CHECK(secp256k1_memcmp_var(nonce, nonce2, 32) != 0); @@ -127,18 +117,10 @@ static void test_schnorrsig_api(void) { secp256k1_schnorrsig_extraparams extraparams = SECP256K1_SCHNORRSIG_EXTRAPARAMS_INIT; secp256k1_schnorrsig_extraparams invalid_extraparams = {{ 0 }, NULL, NULL}; - /** setup **/ - int ecount = 0; - - secp256k1_context_set_error_callback(CTX, counting_illegal_callback_fn, &ecount); - secp256k1_context_set_illegal_callback(CTX, counting_illegal_callback_fn, &ecount); - secp256k1_context_set_error_callback(STATIC_CTX, counting_illegal_callback_fn, &ecount); - secp256k1_context_set_illegal_callback(STATIC_CTX, counting_illegal_callback_fn, &ecount); - - secp256k1_testrand256(sk1); - secp256k1_testrand256(sk2); - secp256k1_testrand256(sk3); - secp256k1_testrand256(msg); + testrand256(sk1); + testrand256(sk2); + testrand256(sk3); + testrand256(msg); CHECK(secp256k1_keypair_create(CTX, &keypairs[0], sk1) == 1); CHECK(secp256k1_keypair_create(CTX, &keypairs[1], sk2) == 1); CHECK(secp256k1_keypair_create(CTX, &keypairs[2], sk3) == 1); @@ -148,63 +130,36 @@ static void test_schnorrsig_api(void) { memset(&zero_pk, 0, sizeof(zero_pk)); /** main test body **/ - ecount = 0; CHECK(secp256k1_schnorrsig_sign32(CTX, sig, msg, &keypairs[0], NULL) == 1); - CHECK(ecount == 0); - CHECK(secp256k1_schnorrsig_sign32(CTX, NULL, msg, &keypairs[0], NULL) == 0); - CHECK(ecount == 1); - CHECK(secp256k1_schnorrsig_sign32(CTX, sig, NULL, &keypairs[0], NULL) == 0); - CHECK(ecount == 2); - CHECK(secp256k1_schnorrsig_sign32(CTX, sig, msg, NULL, NULL) == 0); - CHECK(ecount == 3); - CHECK(secp256k1_schnorrsig_sign32(CTX, sig, msg, &invalid_keypair, NULL) == 0); - CHECK(ecount == 4); - CHECK(secp256k1_schnorrsig_sign32(STATIC_CTX, sig, msg, &keypairs[0], NULL) == 0); - CHECK(ecount == 5); - - ecount = 0; + CHECK_ILLEGAL(CTX, secp256k1_schnorrsig_sign32(CTX, NULL, msg, &keypairs[0], NULL)); + CHECK_ILLEGAL(CTX, secp256k1_schnorrsig_sign32(CTX, sig, NULL, &keypairs[0], NULL)); + CHECK_ILLEGAL(CTX, secp256k1_schnorrsig_sign32(CTX, sig, msg, NULL, NULL)); + CHECK_ILLEGAL(CTX, secp256k1_schnorrsig_sign32(CTX, sig, msg, &invalid_keypair, NULL)); + CHECK_ILLEGAL(STATIC_CTX, secp256k1_schnorrsig_sign32(STATIC_CTX, sig, msg, &keypairs[0], NULL)); + CHECK(secp256k1_schnorrsig_sign_custom(CTX, sig, msg, sizeof(msg), &keypairs[0], &extraparams) == 1); - CHECK(ecount == 0); - CHECK(secp256k1_schnorrsig_sign_custom(CTX, NULL, msg, sizeof(msg), &keypairs[0], &extraparams) == 0); - CHECK(ecount == 1); - CHECK(secp256k1_schnorrsig_sign_custom(CTX, sig, NULL, sizeof(msg), &keypairs[0], &extraparams) == 0); - CHECK(ecount == 2); + CHECK_ILLEGAL(CTX, secp256k1_schnorrsig_sign_custom(CTX, NULL, msg, sizeof(msg), &keypairs[0], &extraparams)); + CHECK_ILLEGAL(CTX, secp256k1_schnorrsig_sign_custom(CTX, sig, NULL, sizeof(msg), &keypairs[0], &extraparams)); CHECK(secp256k1_schnorrsig_sign_custom(CTX, sig, NULL, 0, &keypairs[0], &extraparams) == 1); - CHECK(ecount == 2); - CHECK(secp256k1_schnorrsig_sign_custom(CTX, sig, msg, sizeof(msg), NULL, &extraparams) == 0); - CHECK(ecount == 3); - CHECK(secp256k1_schnorrsig_sign_custom(CTX, sig, msg, sizeof(msg), &invalid_keypair, &extraparams) == 0); - CHECK(ecount == 4); + CHECK_ILLEGAL(CTX, secp256k1_schnorrsig_sign_custom(CTX, sig, msg, sizeof(msg), NULL, &extraparams)); + CHECK_ILLEGAL(CTX, secp256k1_schnorrsig_sign_custom(CTX, sig, msg, sizeof(msg), &invalid_keypair, &extraparams)); CHECK(secp256k1_schnorrsig_sign_custom(CTX, sig, msg, sizeof(msg), &keypairs[0], NULL) == 1); - CHECK(ecount == 4); - CHECK(secp256k1_schnorrsig_sign_custom(CTX, sig, msg, sizeof(msg), &keypairs[0], &invalid_extraparams) == 0); - CHECK(ecount == 5); - CHECK(secp256k1_schnorrsig_sign_custom(STATIC_CTX, sig, msg, sizeof(msg), &keypairs[0], &extraparams) == 0); - CHECK(ecount == 6); + CHECK_ILLEGAL(CTX, secp256k1_schnorrsig_sign_custom(CTX, sig, msg, sizeof(msg), &keypairs[0], &invalid_extraparams)); + CHECK_ILLEGAL(STATIC_CTX, secp256k1_schnorrsig_sign_custom(STATIC_CTX, sig, msg, sizeof(msg), &keypairs[0], &extraparams)); - ecount = 0; CHECK(secp256k1_schnorrsig_sign32(CTX, sig, msg, &keypairs[0], NULL) == 1); CHECK(secp256k1_schnorrsig_verify(CTX, sig, msg, sizeof(msg), &pk[0]) == 1); - CHECK(ecount == 0); - CHECK(secp256k1_schnorrsig_verify(CTX, NULL, msg, sizeof(msg), &pk[0]) == 0); - CHECK(ecount == 1); - CHECK(secp256k1_schnorrsig_verify(CTX, sig, NULL, sizeof(msg), &pk[0]) == 0); - CHECK(ecount == 2); + CHECK_ILLEGAL(CTX, secp256k1_schnorrsig_verify(CTX, NULL, msg, sizeof(msg), &pk[0])); + CHECK_ILLEGAL(CTX, secp256k1_schnorrsig_verify(CTX, sig, NULL, sizeof(msg), &pk[0])); CHECK(secp256k1_schnorrsig_verify(CTX, sig, NULL, 0, &pk[0]) == 0); - CHECK(ecount == 2); - CHECK(secp256k1_schnorrsig_verify(CTX, sig, msg, sizeof(msg), NULL) == 0); - CHECK(ecount == 3); - CHECK(secp256k1_schnorrsig_verify(CTX, sig, msg, sizeof(msg), &zero_pk) == 0); - CHECK(ecount == 4); - - secp256k1_context_set_error_callback(STATIC_CTX, NULL, NULL); - secp256k1_context_set_illegal_callback(STATIC_CTX, NULL, NULL); + CHECK_ILLEGAL(CTX, secp256k1_schnorrsig_verify(CTX, sig, msg, sizeof(msg), NULL)); + CHECK_ILLEGAL(CTX, secp256k1_schnorrsig_verify(CTX, sig, msg, sizeof(msg), &zero_pk)); } /* Checks that hash initialized by secp256k1_schnorrsig_sha256_tagged has the * expected state. */ static void test_schnorrsig_sha256_tagged(void) { - unsigned char tag[17] = "BIP0340/challenge"; + unsigned char tag[] = {'B', 'I', 'P', '0', '3', '4', '0', '/', 'c', 'h', 'a', 'l', 'l', 'e', 'n', 'g', 'e'}; secp256k1_sha256 sha; secp256k1_sha256 sha_optimized; @@ -215,28 +170,36 @@ static void test_schnorrsig_sha256_tagged(void) { /* Helper function for schnorrsig_bip_vectors * Signs the message and checks that it's the same as expected_sig. */ -static void test_schnorrsig_bip_vectors_check_signing(const unsigned char *sk, const unsigned char *pk_serialized, const unsigned char *aux_rand, const unsigned char *msg32, const unsigned char *expected_sig) { +static void test_schnorrsig_bip_vectors_check_signing(const unsigned char *sk, const unsigned char *pk_serialized, const unsigned char *aux_rand, const unsigned char *msg, size_t msglen, const unsigned char *expected_sig) { unsigned char sig[64]; secp256k1_keypair keypair; secp256k1_xonly_pubkey pk, pk_expected; + secp256k1_schnorrsig_extraparams extraparams = SECP256K1_SCHNORRSIG_EXTRAPARAMS_INIT; + extraparams.ndata = (unsigned char*)aux_rand; + CHECK(secp256k1_keypair_create(CTX, &keypair, sk)); - CHECK(secp256k1_schnorrsig_sign32(CTX, sig, msg32, &keypair, aux_rand)); + CHECK(secp256k1_schnorrsig_sign_custom(CTX, sig, msg, msglen, &keypair, &extraparams)); CHECK(secp256k1_memcmp_var(sig, expected_sig, 64) == 0); + if (msglen == 32) { + memset(sig, 0, 64); + CHECK(secp256k1_schnorrsig_sign32(CTX, sig, msg, &keypair, aux_rand)); + CHECK(secp256k1_memcmp_var(sig, expected_sig, 64) == 0); + } CHECK(secp256k1_xonly_pubkey_parse(CTX, &pk_expected, pk_serialized)); CHECK(secp256k1_keypair_xonly_pub(CTX, &pk, NULL, &keypair)); CHECK(secp256k1_memcmp_var(&pk, &pk_expected, sizeof(pk)) == 0); - CHECK(secp256k1_schnorrsig_verify(CTX, sig, msg32, 32, &pk)); + CHECK(secp256k1_schnorrsig_verify(CTX, sig, msg, msglen, &pk)); } /* Helper function for schnorrsig_bip_vectors * Checks that both verify and verify_batch (TODO) return the same value as expected. */ -static void test_schnorrsig_bip_vectors_check_verify(const unsigned char *pk_serialized, const unsigned char *msg32, const unsigned char *sig, int expected) { +static void test_schnorrsig_bip_vectors_check_verify(const unsigned char *pk_serialized, const unsigned char *msg, size_t msglen, const unsigned char *sig, int expected) { secp256k1_xonly_pubkey pk; CHECK(secp256k1_xonly_pubkey_parse(CTX, &pk, pk_serialized)); - CHECK(expected == secp256k1_schnorrsig_verify(CTX, sig, msg32, 32, &pk)); + CHECK(expected == secp256k1_schnorrsig_verify(CTX, sig, msg, msglen, &pk)); } /* Test vectors according to BIP-340 ("Schnorr Signatures for secp256k1"). See @@ -256,7 +219,7 @@ static void test_schnorrsig_bip_vectors(void) { 0xB5, 0x31, 0xC8, 0x45, 0x83, 0x6F, 0x99, 0xB0, 0x86, 0x01, 0xF1, 0x13, 0xBC, 0xE0, 0x36, 0xF9 }; - unsigned char aux_rand[32] = { + const unsigned char aux_rand[32] = { 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, @@ -278,8 +241,8 @@ static void test_schnorrsig_bip_vectors(void) { 0xEB, 0xEE, 0xE8, 0xFD, 0xB2, 0x17, 0x2F, 0x47, 0x7D, 0xF4, 0x90, 0x0D, 0x31, 0x05, 0x36, 0xC0 }; - test_schnorrsig_bip_vectors_check_signing(sk, pk, aux_rand, msg, sig); - test_schnorrsig_bip_vectors_check_verify(pk, msg, sig, 1); + test_schnorrsig_bip_vectors_check_signing(sk, pk, aux_rand, msg, sizeof(msg), sig); + test_schnorrsig_bip_vectors_check_verify(pk, msg, sizeof(msg), sig, 1); } { /* Test vector 1 */ @@ -295,7 +258,7 @@ static void test_schnorrsig_bip_vectors(void) { 0x58, 0xFE, 0xAE, 0x1D, 0xA2, 0xDE, 0xCE, 0xD8, 0x43, 0x24, 0x0F, 0x7B, 0x50, 0x2B, 0xA6, 0x59 }; - unsigned char aux_rand[32] = { + const unsigned char aux_rand[32] = { 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, @@ -317,8 +280,8 @@ static void test_schnorrsig_bip_vectors(void) { 0x89, 0x7E, 0xFC, 0xB6, 0x39, 0xEA, 0x87, 0x1C, 0xFA, 0x95, 0xF6, 0xDE, 0x33, 0x9E, 0x4B, 0x0A }; - test_schnorrsig_bip_vectors_check_signing(sk, pk, aux_rand, msg, sig); - test_schnorrsig_bip_vectors_check_verify(pk, msg, sig, 1); + test_schnorrsig_bip_vectors_check_signing(sk, pk, aux_rand, msg, sizeof(msg), sig); + test_schnorrsig_bip_vectors_check_verify(pk, msg, sizeof(msg), sig, 1); } { /* Test vector 2 */ @@ -334,7 +297,7 @@ static void test_schnorrsig_bip_vectors(void) { 0x01, 0x39, 0x71, 0x53, 0x09, 0xB0, 0x86, 0xC9, 0x60, 0xE1, 0x8F, 0xD9, 0x69, 0x77, 0x4E, 0xB8 }; - unsigned char aux_rand[32] = { + const unsigned char aux_rand[32] = { 0xC8, 0x7A, 0xA5, 0x38, 0x24, 0xB4, 0xD7, 0xAE, 0x2E, 0xB0, 0x35, 0xA2, 0xB5, 0xBB, 0xBC, 0xCC, 0x08, 0x0E, 0x76, 0xCD, 0xC6, 0xD1, 0x69, 0x2C, @@ -356,8 +319,8 @@ static void test_schnorrsig_bip_vectors(void) { 0x7A, 0xDE, 0xA9, 0x8D, 0x82, 0xF8, 0x48, 0x1E, 0x0E, 0x1E, 0x03, 0x67, 0x4A, 0x6F, 0x3F, 0xB7 }; - test_schnorrsig_bip_vectors_check_signing(sk, pk, aux_rand, msg, sig); - test_schnorrsig_bip_vectors_check_verify(pk, msg, sig, 1); + test_schnorrsig_bip_vectors_check_signing(sk, pk, aux_rand, msg, sizeof(msg), sig); + test_schnorrsig_bip_vectors_check_verify(pk, msg, sizeof(msg), sig, 1); } { /* Test vector 3 */ @@ -373,7 +336,7 @@ static void test_schnorrsig_bip_vectors(void) { 0x3A, 0x0D, 0x95, 0xFB, 0xF2, 0x1D, 0x46, 0x8A, 0x1B, 0x33, 0xF8, 0xC1, 0x60, 0xD8, 0xF5, 0x17 }; - unsigned char aux_rand[32] = { + const unsigned char aux_rand[32] = { 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, @@ -395,8 +358,8 @@ static void test_schnorrsig_bip_vectors(void) { 0xF2, 0x5F, 0xD7, 0x88, 0x81, 0xEB, 0xB3, 0x27, 0x71, 0xFC, 0x59, 0x22, 0xEF, 0xC6, 0x6E, 0xA3 }; - test_schnorrsig_bip_vectors_check_signing(sk, pk, aux_rand, msg, sig); - test_schnorrsig_bip_vectors_check_verify(pk, msg, sig, 1); + test_schnorrsig_bip_vectors_check_signing(sk, pk, aux_rand, msg, sizeof(msg), sig); + test_schnorrsig_bip_vectors_check_verify(pk, msg, sizeof(msg), sig, 1); } { /* Test vector 4 */ @@ -422,7 +385,7 @@ static void test_schnorrsig_bip_vectors(void) { 0x60, 0xCB, 0x71, 0xC0, 0x4E, 0x80, 0xF5, 0x93, 0x06, 0x0B, 0x07, 0xD2, 0x83, 0x08, 0xD7, 0xF4 }; - test_schnorrsig_bip_vectors_check_verify(pk, msg, sig, 1); + test_schnorrsig_bip_vectors_check_verify(pk, msg, sizeof(msg), sig, 1); } { /* Test vector 5 */ @@ -460,7 +423,7 @@ static void test_schnorrsig_bip_vectors(void) { 0x7A, 0x73, 0xC6, 0x43, 0xE1, 0x66, 0xBE, 0x5E, 0xBE, 0xAF, 0xA3, 0x4B, 0x1A, 0xC5, 0x53, 0xE2 }; - test_schnorrsig_bip_vectors_check_verify(pk, msg, sig, 0); + test_schnorrsig_bip_vectors_check_verify(pk, msg, sizeof(msg), sig, 0); } { /* Test vector 7 */ @@ -486,7 +449,7 @@ static void test_schnorrsig_bip_vectors(void) { 0x62, 0x2A, 0x95, 0x4C, 0xFE, 0x54, 0x57, 0x35, 0xAA, 0xEA, 0x51, 0x34, 0xFC, 0xCD, 0xB2, 0xBD }; - test_schnorrsig_bip_vectors_check_verify(pk, msg, sig, 0); + test_schnorrsig_bip_vectors_check_verify(pk, msg, sizeof(msg), sig, 0); } { /* Test vector 8 */ @@ -512,7 +475,7 @@ static void test_schnorrsig_bip_vectors(void) { 0xE8, 0xD7, 0xC9, 0x3E, 0x00, 0xC5, 0xED, 0x0C, 0x18, 0x34, 0xFF, 0x0D, 0x0C, 0x2E, 0x6D, 0xA6 }; - test_schnorrsig_bip_vectors_check_verify(pk, msg, sig, 0); + test_schnorrsig_bip_vectors_check_verify(pk, msg, sizeof(msg), sig, 0); } { /* Test vector 9 */ @@ -538,7 +501,7 @@ static void test_schnorrsig_bip_vectors(void) { 0x4F, 0xB7, 0x34, 0x76, 0xF0, 0xD5, 0x94, 0xDC, 0xB6, 0x5C, 0x64, 0x25, 0xBD, 0x18, 0x60, 0x51 }; - test_schnorrsig_bip_vectors_check_verify(pk, msg, sig, 0); + test_schnorrsig_bip_vectors_check_verify(pk, msg, sizeof(msg), sig, 0); } { /* Test vector 10 */ @@ -564,7 +527,7 @@ static void test_schnorrsig_bip_vectors(void) { 0xDB, 0xA8, 0x7F, 0x11, 0xAC, 0x67, 0x54, 0xF9, 0x37, 0x80, 0xD5, 0xA1, 0x83, 0x7C, 0xF1, 0x97 }; - test_schnorrsig_bip_vectors_check_verify(pk, msg, sig, 0); + test_schnorrsig_bip_vectors_check_verify(pk, msg, sizeof(msg), sig, 0); } { /* Test vector 11 */ @@ -590,7 +553,7 @@ static void test_schnorrsig_bip_vectors(void) { 0xD1, 0xD7, 0x13, 0xA8, 0xAE, 0x82, 0xB3, 0x2F, 0xA7, 0x9D, 0x5F, 0x7F, 0xC4, 0x07, 0xD3, 0x9B }; - test_schnorrsig_bip_vectors_check_verify(pk, msg, sig, 0); + test_schnorrsig_bip_vectors_check_verify(pk, msg, sizeof(msg), sig, 0); } { /* Test vector 12 */ @@ -616,7 +579,7 @@ static void test_schnorrsig_bip_vectors(void) { 0xD1, 0xD7, 0x13, 0xA8, 0xAE, 0x82, 0xB3, 0x2F, 0xA7, 0x9D, 0x5F, 0x7F, 0xC4, 0x07, 0xD3, 0x9B }; - test_schnorrsig_bip_vectors_check_verify(pk, msg, sig, 0); + test_schnorrsig_bip_vectors_check_verify(pk, msg, sizeof(msg), sig, 0); } { /* Test vector 13 */ @@ -642,7 +605,7 @@ static void test_schnorrsig_bip_vectors(void) { 0xBA, 0xAE, 0xDC, 0xE6, 0xAF, 0x48, 0xA0, 0x3B, 0xBF, 0xD2, 0x5E, 0x8C, 0xD0, 0x36, 0x41, 0x41 }; - test_schnorrsig_bip_vectors_check_verify(pk, msg, sig, 0); + test_schnorrsig_bip_vectors_check_verify(pk, msg, sizeof(msg), sig, 0); } { /* Test vector 14 */ @@ -656,6 +619,147 @@ static void test_schnorrsig_bip_vectors(void) { /* No need to check the signature of the test vector as parsing the pubkey already fails */ CHECK(!secp256k1_xonly_pubkey_parse(CTX, &pk_parsed, pk)); } + { + /* Test vector 15 */ + const unsigned char sk[32] = { + 0x03, 0x40, 0x03, 0x40, 0x03, 0x40, 0x03, 0x40, + 0x03, 0x40, 0x03, 0x40, 0x03, 0x40, 0x03, 0x40, + 0x03, 0x40, 0x03, 0x40, 0x03, 0x40, 0x03, 0x40, + 0x03, 0x40, 0x03, 0x40, 0x03, 0x40, 0x03, 0x40, + }; + const unsigned char pk[32] = { + 0x77, 0x8C, 0xAA, 0x53, 0xB4, 0x39, 0x3A, 0xC4, + 0x67, 0x77, 0x4D, 0x09, 0x49, 0x7A, 0x87, 0x22, + 0x4B, 0xF9, 0xFA, 0xB6, 0xF6, 0xE6, 0x8B, 0x23, + 0x08, 0x64, 0x97, 0x32, 0x4D, 0x6F, 0xD1, 0x17, + }; + const unsigned char aux_rand[32] = { + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + }; + /* const unsigned char msg[0] = {}; */ + const unsigned char sig[64] = { + 0x71, 0x53, 0x5D, 0xB1, 0x65, 0xEC, 0xD9, 0xFB, + 0xBC, 0x04, 0x6E, 0x5F, 0xFA, 0xEA, 0x61, 0x18, + 0x6B, 0xB6, 0xAD, 0x43, 0x67, 0x32, 0xFC, 0xCC, + 0x25, 0x29, 0x1A, 0x55, 0x89, 0x54, 0x64, 0xCF, + 0x60, 0x69, 0xCE, 0x26, 0xBF, 0x03, 0x46, 0x62, + 0x28, 0xF1, 0x9A, 0x3A, 0x62, 0xDB, 0x8A, 0x64, + 0x9F, 0x2D, 0x56, 0x0F, 0xAC, 0x65, 0x28, 0x27, + 0xD1, 0xAF, 0x05, 0x74, 0xE4, 0x27, 0xAB, 0x63, + }; + test_schnorrsig_bip_vectors_check_signing(sk, pk, aux_rand, NULL, 0, sig); + test_schnorrsig_bip_vectors_check_verify(pk, NULL, 0, sig, 1); + } + { + /* Test vector 16 */ + const unsigned char sk[32] = { + 0x03, 0x40, 0x03, 0x40, 0x03, 0x40, 0x03, 0x40, + 0x03, 0x40, 0x03, 0x40, 0x03, 0x40, 0x03, 0x40, + 0x03, 0x40, 0x03, 0x40, 0x03, 0x40, 0x03, 0x40, + 0x03, 0x40, 0x03, 0x40, 0x03, 0x40, 0x03, 0x40, + }; + const unsigned char pk[32] = { + 0x77, 0x8C, 0xAA, 0x53, 0xB4, 0x39, 0x3A, 0xC4, + 0x67, 0x77, 0x4D, 0x09, 0x49, 0x7A, 0x87, 0x22, + 0x4B, 0xF9, 0xFA, 0xB6, 0xF6, 0xE6, 0x8B, 0x23, + 0x08, 0x64, 0x97, 0x32, 0x4D, 0x6F, 0xD1, 0x17, + }; + const unsigned char aux_rand[32] = { + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + }; + const unsigned char msg[] = { 0x11 }; + const unsigned char sig[64] = { + 0x08, 0xA2, 0x0A, 0x0A, 0xFE, 0xF6, 0x41, 0x24, + 0x64, 0x92, 0x32, 0xE0, 0x69, 0x3C, 0x58, 0x3A, + 0xB1, 0xB9, 0x93, 0x4A, 0xE6, 0x3B, 0x4C, 0x35, + 0x11, 0xF3, 0xAE, 0x11, 0x34, 0xC6, 0xA3, 0x03, + 0xEA, 0x31, 0x73, 0xBF, 0xEA, 0x66, 0x83, 0xBD, + 0x10, 0x1F, 0xA5, 0xAA, 0x5D, 0xBC, 0x19, 0x96, + 0xFE, 0x7C, 0xAC, 0xFC, 0x5A, 0x57, 0x7D, 0x33, + 0xEC, 0x14, 0x56, 0x4C, 0xEC, 0x2B, 0xAC, 0xBF, + }; + test_schnorrsig_bip_vectors_check_signing(sk, pk, aux_rand, msg, sizeof(msg), sig); + test_schnorrsig_bip_vectors_check_verify(pk, msg, sizeof(msg), sig, 1); + } + { + /* Test vector 17 */ + const unsigned char sk[32] = { + 0x03, 0x40, 0x03, 0x40, 0x03, 0x40, 0x03, 0x40, + 0x03, 0x40, 0x03, 0x40, 0x03, 0x40, 0x03, 0x40, + 0x03, 0x40, 0x03, 0x40, 0x03, 0x40, 0x03, 0x40, + 0x03, 0x40, 0x03, 0x40, 0x03, 0x40, 0x03, 0x40, + }; + const unsigned char pk[32] = { + 0x77, 0x8C, 0xAA, 0x53, 0xB4, 0x39, 0x3A, 0xC4, + 0x67, 0x77, 0x4D, 0x09, 0x49, 0x7A, 0x87, 0x22, + 0x4B, 0xF9, 0xFA, 0xB6, 0xF6, 0xE6, 0x8B, 0x23, + 0x08, 0x64, 0x97, 0x32, 0x4D, 0x6F, 0xD1, 0x17, + }; + const unsigned char aux_rand[32] = { + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + }; + const unsigned char msg[] = { + 0x01, 0x02, 0x03, 0x04, 0x05, 0x06, 0x07, 0x08, + 0x09, 0x0A, 0x0B, 0x0C, 0x0D, 0x0E, 0x0F, 0x10, + 0x11, + }; + const unsigned char sig[64] = { + 0x51, 0x30, 0xF3, 0x9A, 0x40, 0x59, 0xB4, 0x3B, + 0xC7, 0xCA, 0xC0, 0x9A, 0x19, 0xEC, 0xE5, 0x2B, + 0x5D, 0x86, 0x99, 0xD1, 0xA7, 0x1E, 0x3C, 0x52, + 0xDA, 0x9A, 0xFD, 0xB6, 0xB5, 0x0A, 0xC3, 0x70, + 0xC4, 0xA4, 0x82, 0xB7, 0x7B, 0xF9, 0x60, 0xF8, + 0x68, 0x15, 0x40, 0xE2, 0x5B, 0x67, 0x71, 0xEC, + 0xE1, 0xE5, 0xA3, 0x7F, 0xD8, 0x0E, 0x5A, 0x51, + 0x89, 0x7C, 0x55, 0x66, 0xA9, 0x7E, 0xA5, 0xA5, + }; + test_schnorrsig_bip_vectors_check_signing(sk, pk, aux_rand, msg, sizeof(msg), sig); + test_schnorrsig_bip_vectors_check_verify(pk, msg, sizeof(msg), sig, 1); + } + { + /* Test vector 18 */ + const unsigned char sk[32] = { + 0x03, 0x40, 0x03, 0x40, 0x03, 0x40, 0x03, 0x40, + 0x03, 0x40, 0x03, 0x40, 0x03, 0x40, 0x03, 0x40, + 0x03, 0x40, 0x03, 0x40, 0x03, 0x40, 0x03, 0x40, + 0x03, 0x40, 0x03, 0x40, 0x03, 0x40, 0x03, 0x40, + }; + const unsigned char pk[32] = { + 0x77, 0x8C, 0xAA, 0x53, 0xB4, 0x39, 0x3A, 0xC4, + 0x67, 0x77, 0x4D, 0x09, 0x49, 0x7A, 0x87, 0x22, + 0x4B, 0xF9, 0xFA, 0xB6, 0xF6, 0xE6, 0x8B, 0x23, + 0x08, 0x64, 0x97, 0x32, 0x4D, 0x6F, 0xD1, 0x17, + }; + const unsigned char aux_rand[32] = { + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + }; + const unsigned char sig[64] = { + 0x40, 0x3B, 0x12, 0xB0, 0xD8, 0x55, 0x5A, 0x34, + 0x41, 0x75, 0xEA, 0x7E, 0xC7, 0x46, 0x56, 0x63, + 0x03, 0x32, 0x1E, 0x5D, 0xBF, 0xA8, 0xBE, 0x6F, + 0x09, 0x16, 0x35, 0x16, 0x3E, 0xCA, 0x79, 0xA8, + 0x58, 0x5E, 0xD3, 0xE3, 0x17, 0x08, 0x07, 0xE7, + 0xC0, 0x3B, 0x72, 0x0F, 0xC5, 0x4C, 0x7B, 0x23, + 0x89, 0x7F, 0xCB, 0xA0, 0xE9, 0xD0, 0xB4, 0xA0, + 0x68, 0x94, 0xCF, 0xD2, 0x49, 0xF2, 0x23, 0x67, + }; + unsigned char msg[100]; + memset(msg, 0x99, sizeof(msg)); + test_schnorrsig_bip_vectors_check_signing(sk, pk, aux_rand, msg, sizeof(msg), sig); + test_schnorrsig_bip_vectors_check_verify(pk, msg, sizeof(msg), sig, 1); + } } /* Nonce function that returns constant 0 */ @@ -699,19 +803,19 @@ static int nonce_function_overflowing(unsigned char *nonce32, const unsigned cha return 1; } -static void test_schnorrsig_sign(void) { +static void test_schnorrsig_sign_internal(void) { unsigned char sk[32]; secp256k1_xonly_pubkey pk; secp256k1_keypair keypair; - const unsigned char msg[32] = "this is a msg for a schnorrsig.."; + const unsigned char msg[] = {'t', 'h', 'i', 's', ' ', 'i', 's', ' ', 'a', ' ', 'm', 's', 'g', ' ', 'f', 'o', 'r', ' ', 'a', ' ', 's', 'c', 'h', 'n', 'o', 'r', 'r', 's', 'i', 'g', '.', '.'}; unsigned char sig[64]; unsigned char sig2[64]; unsigned char zeros64[64] = { 0 }; secp256k1_schnorrsig_extraparams extraparams = SECP256K1_SCHNORRSIG_EXTRAPARAMS_INIT; unsigned char aux_rand[32]; - secp256k1_testrand256(sk); - secp256k1_testrand256(aux_rand); + testrand256(sk); + testrand256(aux_rand); CHECK(secp256k1_keypair_create(CTX, &keypair, sk)); CHECK(secp256k1_keypair_xonly_pub(CTX, &pk, NULL, &keypair)); CHECK(secp256k1_schnorrsig_sign32(CTX, sig, msg, &keypair, NULL) == 1); @@ -749,7 +853,7 @@ static void test_schnorrsig_sign(void) { /* Creates N_SIGS valid signatures and verifies them with verify and * verify_batch (TODO). Then flips some bits and checks that verification now * fails. */ -static void test_schnorrsig_sign_verify(void) { +static void test_schnorrsig_sign_verify_internal(void) { unsigned char sk[32]; unsigned char msg[N_SIGS][32]; unsigned char sig[N_SIGS][64]; @@ -758,12 +862,12 @@ static void test_schnorrsig_sign_verify(void) { secp256k1_xonly_pubkey pk; secp256k1_scalar s; - secp256k1_testrand256(sk); + testrand256(sk); CHECK(secp256k1_keypair_create(CTX, &keypair, sk)); CHECK(secp256k1_keypair_xonly_pub(CTX, &pk, NULL, &keypair)); for (i = 0; i < N_SIGS; i++) { - secp256k1_testrand256(msg[i]); + testrand256(msg[i]); CHECK(secp256k1_schnorrsig_sign32(CTX, sig[i], msg[i], &keypair, NULL)); CHECK(secp256k1_schnorrsig_verify(CTX, sig[i], msg[i], sizeof(msg[i]), &pk)); } @@ -771,19 +875,19 @@ static void test_schnorrsig_sign_verify(void) { { /* Flip a few bits in the signature and in the message and check that * verify and verify_batch (TODO) fail */ - size_t sig_idx = secp256k1_testrand_int(N_SIGS); - size_t byte_idx = secp256k1_testrand_bits(5); - unsigned char xorbyte = secp256k1_testrand_int(254)+1; + size_t sig_idx = testrand_int(N_SIGS); + size_t byte_idx = testrand_bits(5); + unsigned char xorbyte = testrand_int(254)+1; sig[sig_idx][byte_idx] ^= xorbyte; CHECK(!secp256k1_schnorrsig_verify(CTX, sig[sig_idx], msg[sig_idx], sizeof(msg[sig_idx]), &pk)); sig[sig_idx][byte_idx] ^= xorbyte; - byte_idx = secp256k1_testrand_bits(5); + byte_idx = testrand_bits(5); sig[sig_idx][32+byte_idx] ^= xorbyte; CHECK(!secp256k1_schnorrsig_verify(CTX, sig[sig_idx], msg[sig_idx], sizeof(msg[sig_idx]), &pk)); sig[sig_idx][32+byte_idx] ^= xorbyte; - byte_idx = secp256k1_testrand_bits(5); + byte_idx = testrand_bits(5); msg[sig_idx][byte_idx] ^= xorbyte; CHECK(!secp256k1_schnorrsig_verify(CTX, sig[sig_idx], msg[sig_idx], sizeof(msg[sig_idx]), &pk)); msg[sig_idx][byte_idx] ^= xorbyte; @@ -813,9 +917,9 @@ static void test_schnorrsig_sign_verify(void) { { /* Test varying message lengths */ unsigned char msg_large[32 * 8]; - uint32_t msglen = secp256k1_testrand_int(sizeof(msg_large)); + uint32_t msglen = testrand_int(sizeof(msg_large)); for (i = 0; i < sizeof(msg_large); i += 32) { - secp256k1_testrand256(&msg_large[i]); + testrand256(&msg_large[i]); } CHECK(secp256k1_schnorrsig_sign_custom(CTX, sig[0], msg_large, msglen, &keypair, NULL) == 1); CHECK(secp256k1_schnorrsig_verify(CTX, sig[0], msg_large, msglen, &pk) == 1); @@ -839,7 +943,7 @@ static void test_schnorrsig_taproot(void) { unsigned char sig[64]; /* Create output key */ - secp256k1_testrand256(sk); + testrand256(sk); CHECK(secp256k1_keypair_create(CTX, &keypair, sk) == 1); CHECK(secp256k1_keypair_xonly_pub(CTX, &internal_pk, NULL, &keypair) == 1); /* In actual taproot the tweak would be hash of internal_pk */ @@ -849,7 +953,7 @@ static void test_schnorrsig_taproot(void) { CHECK(secp256k1_xonly_pubkey_serialize(CTX, output_pk_bytes, &output_pk) == 1); /* Key spend */ - secp256k1_testrand256(msg); + testrand256(msg); CHECK(secp256k1_schnorrsig_sign32(CTX, sig, msg, &keypair, NULL) == 1); /* Verify key spend */ CHECK(secp256k1_xonly_pubkey_parse(CTX, &output_pk, output_pk_bytes) == 1); @@ -862,18 +966,18 @@ static void test_schnorrsig_taproot(void) { CHECK(secp256k1_xonly_pubkey_tweak_add_check(CTX, output_pk_bytes, pk_parity, &internal_pk, tweak) == 1); } -static void run_schnorrsig_tests(void) { - int i; - run_nonce_function_bip340_tests(); - - test_schnorrsig_api(); - test_schnorrsig_sha256_tagged(); - test_schnorrsig_bip_vectors(); - for (i = 0; i < COUNT; i++) { - test_schnorrsig_sign(); - test_schnorrsig_sign_verify(); - } - test_schnorrsig_taproot(); -} +/* --- Test registry --- */ +REPEAT_TEST(test_schnorrsig_sign) +REPEAT_TEST(test_schnorrsig_sign_verify) + +static const struct tf_test_entry tests_schnorrsig[] = { + CASE(nonce_function_bip340_tests), + CASE1(test_schnorrsig_api), + CASE1(test_schnorrsig_sha256_tagged), + CASE1(test_schnorrsig_bip_vectors), + CASE1(test_schnorrsig_sign), + CASE1(test_schnorrsig_sign_verify), + CASE1(test_schnorrsig_taproot), +}; #endif diff --git a/src/precompute_ecmult.c b/src/precompute_ecmult.c index 10aba5b97d..021fe3940c 100644 --- a/src/precompute_ecmult.c +++ b/src/precompute_ecmult.c @@ -6,6 +6,7 @@ #include #include +#include #include "../include/secp256k1.h" @@ -56,19 +57,19 @@ static void print_two_tables(FILE *fp, int window_g) { int main(void) { /* Always compute all tables for window sizes up to 15. */ int window_g = (ECMULT_WINDOW_SIZE < 15) ? 15 : ECMULT_WINDOW_SIZE; + const char outfile[] = "src/precomputed_ecmult.c"; FILE* fp; - fp = fopen("src/precomputed_ecmult.c","w"); + fp = fopen(outfile, "w"); if (fp == NULL) { - fprintf(stderr, "Could not open src/precomputed_ecmult.h for writing!\n"); - return -1; + fprintf(stderr, "Could not open %s for writing!\n", outfile); + return EXIT_FAILURE; } fprintf(fp, "/* This file was automatically generated by precompute_ecmult. */\n"); fprintf(fp, "/* This file contains an array secp256k1_pre_g with odd multiples of the base point G and\n"); fprintf(fp, " * an array secp256k1_pre_g_128 with odd multiples of 2^128*G for accelerating the computation of a*P + b*G.\n"); fprintf(fp, " */\n"); - fprintf(fp, "#include \"../include/secp256k1.h\"\n"); fprintf(fp, "#include \"group.h\"\n"); fprintf(fp, "#include \"ecmult.h\"\n"); fprintf(fp, "#include \"precomputed_ecmult.h\"\n"); @@ -86,5 +87,5 @@ int main(void) { fprintf(fp, "#undef S\n"); fclose(fp); - return 0; + return EXIT_SUCCESS; } diff --git a/src/precompute_ecmult_gen.c b/src/precompute_ecmult_gen.c index bfe212fdd2..cd0fe70fc2 100644 --- a/src/precompute_ecmult_gen.c +++ b/src/precompute_ecmult_gen.c @@ -6,6 +6,7 @@ #include #include +#include #include "../include/secp256k1.h" @@ -17,10 +18,46 @@ #include "ecmult_gen.h" #include "ecmult_gen_compute_table_impl.h" +static const int CONFIGS[][2] = { + {2, 5}, + {11, 6}, + {43, 6} +}; + +static void print_table(FILE* fp, int blocks, int teeth) { + int spacing = CEIL_DIV(256, blocks * teeth); + size_t points = ((size_t)1) << (teeth - 1); + int outer; + size_t inner; + + secp256k1_ge_storage* table = checked_malloc(&default_error_callback, blocks * points * sizeof(secp256k1_ge_storage)); + secp256k1_ecmult_gen_compute_table(table, &secp256k1_ge_const_g, blocks, teeth, spacing); + + fprintf(fp, "#elif (COMB_BLOCKS == %d) && (COMB_TEETH == %d) && (COMB_SPACING == %d)\n", blocks, teeth, spacing); + for (outer = 0; outer != blocks; outer++) { + fprintf(fp,"{"); + for (inner = 0; inner != points; inner++) { + fprintf(fp, "S(%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32 + ",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32")", + SECP256K1_GE_STORAGE_CONST_GET(table[outer * points + inner])); + if (inner != points - 1) { + fprintf(fp,",\n"); + } + } + if (outer != blocks - 1) { + fprintf(fp,"},\n"); + } else { + fprintf(fp,"}\n"); + } + } + free(table); +} + int main(int argc, char **argv) { const char outfile[] = "src/precomputed_ecmult_gen.c"; FILE* fp; - int bits; + size_t config; + int did_current_config = 0; (void)argc; (void)argv; @@ -28,12 +65,11 @@ int main(int argc, char **argv) { fp = fopen(outfile, "w"); if (fp == NULL) { fprintf(stderr, "Could not open %s for writing!\n", outfile); - return -1; + return EXIT_FAILURE; } fprintf(fp, "/* This file was automatically generated by precompute_ecmult_gen. */\n"); fprintf(fp, "/* See ecmult_gen_impl.h for details about the contents of this file. */\n"); - fprintf(fp, "#include \"../include/secp256k1.h\"\n"); fprintf(fp, "#include \"group.h\"\n"); fprintf(fp, "#include \"ecmult_gen.h\"\n"); fprintf(fp, "#include \"precomputed_ecmult_gen.h\"\n"); @@ -41,40 +77,25 @@ int main(int argc, char **argv) { fprintf(fp, "# error Cannot compile precomputed_ecmult_gen.c in exhaustive test mode\n"); fprintf(fp, "#endif /* EXHAUSTIVE_TEST_ORDER */\n"); fprintf(fp, "#define S(a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p) SECP256K1_GE_STORAGE_CONST(0x##a##u,0x##b##u,0x##c##u,0x##d##u,0x##e##u,0x##f##u,0x##g##u,0x##h##u,0x##i##u,0x##j##u,0x##k##u,0x##l##u,0x##m##u,0x##n##u,0x##o##u,0x##p##u)\n"); - fprintf(fp, "const secp256k1_ge_storage secp256k1_ecmult_gen_prec_table[ECMULT_GEN_PREC_N(ECMULT_GEN_PREC_BITS)][ECMULT_GEN_PREC_G(ECMULT_GEN_PREC_BITS)] = {\n"); - - for (bits = 2; bits <= 8; bits *= 2) { - int g = ECMULT_GEN_PREC_G(bits); - int n = ECMULT_GEN_PREC_N(bits); - int inner, outer; - - secp256k1_ge_storage* table = checked_malloc(&default_error_callback, n * g * sizeof(secp256k1_ge_storage)); - secp256k1_ecmult_gen_compute_table(table, &secp256k1_ge_const_g, bits); - fprintf(fp, "#if ECMULT_GEN_PREC_BITS == %d\n", bits); - for(outer = 0; outer != n; outer++) { - fprintf(fp,"{"); - for(inner = 0; inner != g; inner++) { - fprintf(fp, "S(%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32 - ",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32")", - SECP256K1_GE_STORAGE_CONST_GET(table[outer * g + inner])); - if (inner != g - 1) { - fprintf(fp,",\n"); - } - } - if (outer != n - 1) { - fprintf(fp,"},\n"); - } else { - fprintf(fp,"}\n"); - } + fprintf(fp, "const secp256k1_ge_storage secp256k1_ecmult_gen_prec_table[COMB_BLOCKS][COMB_POINTS] = {\n"); + fprintf(fp, "#if 0\n"); + for (config = 0; config < sizeof(CONFIGS) / sizeof(*CONFIGS); ++config) { + print_table(fp, CONFIGS[config][0], CONFIGS[config][1]); + if (CONFIGS[config][0] == COMB_BLOCKS && CONFIGS[config][1] == COMB_TEETH) { + did_current_config = 1; } - fprintf(fp, "#endif\n"); - free(table); } + if (!did_current_config) { + print_table(fp, COMB_BLOCKS, COMB_TEETH); + } + fprintf(fp, "#else\n"); + fprintf(fp, "# error Configuration mismatch, invalid COMB_* parameters. Try deleting precomputed_ecmult_gen.c before the build.\n"); + fprintf(fp, "#endif\n"); fprintf(fp, "};\n"); fprintf(fp, "#undef S\n"); fclose(fp); - return 0; + return EXIT_SUCCESS; } diff --git a/src/precomputed_ecmult.c b/src/precomputed_ecmult.c index fbc634ef1b..cbd030ce50 100644 --- a/src/precomputed_ecmult.c +++ b/src/precomputed_ecmult.c @@ -2,7 +2,6 @@ /* This file contains an array secp256k1_pre_g with odd multiples of the base point G and * an array secp256k1_pre_g_128 with odd multiples of 2^128*G for accelerating the computation of a*P + b*G. */ -#include "../include/secp256k1.h" #include "group.h" #include "ecmult.h" #include "precomputed_ecmult.h" diff --git a/src/precomputed_ecmult.h b/src/precomputed_ecmult.h index a4aa83e4ca..e5a85f684f 100644 --- a/src/precomputed_ecmult.h +++ b/src/precomputed_ecmult.h @@ -11,7 +11,10 @@ extern "C" { #endif +#include "ecmult.h" #include "group.h" +#include "util_local_visibility.h" + #if defined(EXHAUSTIVE_TEST_ORDER) # if EXHAUSTIVE_TEST_ORDER == 7 # define WINDOW_G 3 @@ -26,8 +29,8 @@ static secp256k1_ge_storage secp256k1_pre_g[ECMULT_TABLE_SIZE(WINDOW_G)]; static secp256k1_ge_storage secp256k1_pre_g_128[ECMULT_TABLE_SIZE(WINDOW_G)]; #else /* !defined(EXHAUSTIVE_TEST_ORDER) */ # define WINDOW_G ECMULT_WINDOW_SIZE -extern const secp256k1_ge_storage secp256k1_pre_g[ECMULT_TABLE_SIZE(WINDOW_G)]; -extern const secp256k1_ge_storage secp256k1_pre_g_128[ECMULT_TABLE_SIZE(WINDOW_G)]; +SECP256K1_LOCAL_VAR const secp256k1_ge_storage secp256k1_pre_g[ECMULT_TABLE_SIZE(WINDOW_G)]; +SECP256K1_LOCAL_VAR const secp256k1_ge_storage secp256k1_pre_g_128[ECMULT_TABLE_SIZE(WINDOW_G)]; #endif /* defined(EXHAUSTIVE_TEST_ORDER) */ #ifdef __cplusplus diff --git a/src/precomputed_ecmult_gen.c b/src/precomputed_ecmult_gen.c index e9d62a1c1b..248fb077e5 100644 --- a/src/precomputed_ecmult_gen.c +++ b/src/precomputed_ecmult_gen.c @@ -1,6 +1,5 @@ /* This file was automatically generated by precompute_ecmult_gen. */ /* See ecmult_gen_impl.h for details about the contents of this file. */ -#include "../include/secp256k1.h" #include "group.h" #include "ecmult_gen.h" #include "precomputed_ecmult_gen.h" @@ -8,9740 +7,1773 @@ # error Cannot compile precomputed_ecmult_gen.c in exhaustive test mode #endif /* EXHAUSTIVE_TEST_ORDER */ #define S(a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p) SECP256K1_GE_STORAGE_CONST(0x##a##u,0x##b##u,0x##c##u,0x##d##u,0x##e##u,0x##f##u,0x##g##u,0x##h##u,0x##i##u,0x##j##u,0x##k##u,0x##l##u,0x##m##u,0x##n##u,0x##o##u,0x##p##u) -const secp256k1_ge_storage secp256k1_ecmult_gen_prec_table[ECMULT_GEN_PREC_N(ECMULT_GEN_PREC_BITS)][ECMULT_GEN_PREC_G(ECMULT_GEN_PREC_BITS)] = { -#if ECMULT_GEN_PREC_BITS == 2 -{S(3a9ed373,6eed3eec,9aeb5ac0,21b54652,56817b1f,8de6cd0,fbcee548,ba044bb5,7bcc5928,bdc9c023,dfc663b8,9e4f6969,ab751798,8e600ec1,d242010c,45c7974a), -S(e44d7675,c3cb2857,4e133c01,a74f4afc,5ce684f8,4a789711,603f7c4f,50abef58,25bcb62f,fe2e2ce2,196ad86c,a006e20,8c64d21b,b25320a3,b5574b9c,1e1bfb4b), -S(6ada98a4,8118166f,e7082591,d6cda51e,914b60b1,49696270,3350249b,ee8d4770,c234dfad,f3847877,a0a7bcda,112dba85,1cdddf00,84d0c07,df1d1a,a3ec3aeb), -S(a94ae8,63264dfb,b910ea95,4ce9ca7e,4f86f92d,9f3a95d1,ed61552a,7a3f5743,7f53f7f1,6ad2d08f,15e73314,6d80467,41557acf,19556c0f,ed7117ce,37040823)}, -{S(1b8462eb,1ccdf7b2,b8372f2f,cec1f479,ab07c09f,cb26d6c3,965ec73,4d654f81,62f6755,b4a7891d,55de6427,fbc37d33,e4eea418,a2c04392,a3d11807,ccc9025), -S(c3b55f99,9cd9113c,fcb4f29,be00c785,cc70d1c1,f1cfd0ed,593abe8d,260bd2bb,8945790b,5696225a,1c6a1f45,1d6b085e,cde2f332,df068271,f6279877,6d1015aa), -S(a4b41b41,1a255142,ee62144d,96ccfdc,a3cdf5a6,af32bdd8,d1c3d26b,d6aab0b9,3ade7f6a,299ee56c,299fcaad,72a146d2,62db1dcd,2ea1a355,d6e00294,ee34c3), -S(d4af67c6,75f97f30,4a621fe5,343dfa5b,e432d9f1,43758d4d,62df1e09,b79abfe8,d0fea700,2a851a85,33929e5f,1f41d4a9,68b9e520,6c19f3b0,35ce96a5,12b61921)}, -{S(6ae991de,18418b49,160194f,a735eb72,c299b987,1981a4f9,aa717ad2,bcdcf13,7ee8011a,40f384f2,e50add2d,97005173,2787cc7c,89dafb66,301bc94d,24b913f), -S(c28203a6,e0f93259,778bddca,10f994be,67cec8a3,109d0001,d830a8e7,b452794b,18df3a42,ec24b713,2ac4b6ec,dd7605e4,169aa07a,41d7559e,bde808d9,bbfbcb14), -S(4848adb6,b0350cd7,b745b603,cff69deb,8be10519,cc02881c,4b980157,5635aa37,7a814076,187ed7b9,84d0be65,b2f83b90,325441cf,54325183,beb01136,d626ca5c), -S(515d497f,f274da3d,9bb9e4f7,e1b77e8a,af859d52,be7c7e93,f197267,d73ce5ae,da648754,a5ed476,3fad55e1,e93f9687,2d1fe961,b448b9bf,2c42c885,b44678f0)}, -{S(64850a04,76870a44,2cfa57e0,4e4707f7,eccc5e99,12dbcb07,3b457317,717f5686,7c5facd2,91a6defb,a1837cb9,3bcbd0f5,bc37572e,68ccb2a0,c062a155,46656fcc), -S(c3ae412c,a3e5f22b,44863ab1,b5e64719,99078ac0,d5844d9,6a37899f,3e064475,e491d89e,b38b0443,50d96e01,7baceb35,fa0e247,8c982d25,5a2a332c,239e0a54), 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-{S(ae5fb021,e9256cc0,6236d667,b76b9bdf,304a4683,d2916ffe,489cf019,6b4c5683,e768366b,5c8d36b6,18e45550,d57493e2,41fed17d,12627e37,b29b4b74,d3603696), -S(e4f916f1,a96dc6dd,8867a619,fef6cf67,14ec2642,12d7ba2b,14b5fbda,b584f339,b44855e3,3ddf19b4,31f109b1,daeea11c,340a9ad8,c17b78ea,c9979ecb,791c31fd), -S(4baca037,647377c6,f3146dcc,d732b21d,32449773,f55766d4,de5b239b,2ef89e6a,50b4b046,b9e3cab5,dffdefa,fa305051,7bdb2deb,9bd9fb,9d3cfca0,34a72228), -S(867d7d44,734389e9,71363522,9d4f2c3b,bfc66e57,44a5f01d,1c93c201,9dd3f363,e9b94307,b39ceb65,653f2206,ffc8c858,37654fb5,90eb8d1f,24a9c82e,d8b4d210)}, -{S(782d5c9a,d970322e,deff2e7b,57844184,c589a4da,c042fcf3,86c1a9f8,26c1babb,27bba565,405cb392,64762d97,cbaff552,1bc38b20,56afe313,556542d3,f200eb06), -S(d07eb76,bb6694dd,4d6160e7,4d4a397d,963ea132,f74d0b9,e9f35c06,830940,2b7f902,62c67203,d6f3fc8c,2d435309,7f8e80fa,c2a732a5,dfdf6dee,ab47f017), 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-S(6b9fe223,333b0802,34fb49d4,85218d11,9123c430,94e4ffba,38f33bb2,dbe7d9e2,5ea16bea,b5101109,4d34ec62,e6a63a71,c78de1f1,fcb7ce23,4ba2f51e,e4eb2ef1), -S(b1a505c,eb85f130,ef6e4a49,e429b0c5,51a87831,f850ed83,6bc8649d,6097ce12,a887e16a,805c0708,45589bff,2b22fc6f,4187cc06,cecef137,9130becb,5d5d149f), -S(8bd25993,c653b1e3,6f477988,61743aba,a5ffdaf,fd0890c3,caeb2963,736cbb44,341aef51,13b0d08d,90e90ffa,56570d57,5777260f,e85a15c2,2b5b3139,4f0a8c20), -S(2da121de,147507bd,b8836321,40394006,afc65465,7c6d4399,97cf6c88,ce0c4016,3ec87a24,eb19c502,848ff433,7ac3f48b,9a56ca56,3d0bffe8,eaa98e97,49f04aaa), -S(147541,9e9e9ff8,5b93f56,2832e74f,6c8c311a,676a759e,7dc62c63,5faa0b07,40fb95e4,810607ce,7ed10d9d,61404078,10ddbc55,261badc0,5e07bd1a,579ca271), -S(7c48371b,7eb5655f,b9d95bc3,5660d783,b1884573,d2934346,c5a5342b,a0949cb0,8b8cfb2,4cab96fa,1ee1e5d7,7dade5bd,23fa7868,445d9ad4,723529db,38110dae), -S(6ac2912f,d959d41c,19ff8ac4,bc136e85,91944b79,470d633f,b9fe65f0,f72541f4,63351f35,d4a7787a,31ef0bd6,f28aedd7,864ec5ab,7d841f11,9163e351,e070fcba), -S(db08e4fd,63e16bf6,abc05d78,be6bccc7,c9b8e15e,334ad697,9205a2e9,c2100e15,eeb0ba62,e1a5ee98,c2e2cc5a,8d9cbf11,d265019c,9eea8f50,4aa1e50,a422d4e), -S(4160dad,5255da89,12f69754,77b445a7,26fb7b8f,6ae8e2bb,d6276ae7,2a31afb8,ab0817bc,7a9b6907,9f6db9f3,c9a77718,23a1d79d,9f2739b2,cbeca18f,e5b8fbf8), -S(3794fc72,f432c983,2f9ba8dd,b46b1c64,d979e899,78b3c14f,2f903ec4,75af091e,a898cdf,7cdaf6c0,3715e38a,4bea1081,fda150b3,7faa4a11,ddbdc350,c7e0bb05), -S(244b87a4,fcecef37,76c16c5c,24c7785,be3b3c13,46595363,b8c066ec,45bfe561,9642f5fd,e0ec25ed,bd2129ca,6c023ec1,a2eadac7,f6ec5b7d,2b7fe894,41e5aa11), -S(9de52b81,157165cc,aef44485,4c2b3535,a599a79,80d024de,5334b385,ecbb2e91,74fca165,26fe2f87,a41ce510,4dd5634,5cf98c11,803c0392,3eb4b8b7,60240c02)} +const secp256k1_ge_storage secp256k1_ecmult_gen_prec_table[COMB_BLOCKS][COMB_POINTS] = { +#if 0 +#elif (COMB_BLOCKS == 2) && (COMB_TEETH == 5) && (COMB_SPACING == 26) +{S(7081b567,8cb87d01,99c9c76e,d1e0a5e0,1d784be9,27f6b135,161e0fd0,3f39b473,ad5222ac,f062cb39,21b234a7,15b626ae,f780b307,9b5122d1,53210f42,d9369242), +S(228af17e,df90d1cc,a40173e9,478fa445,9780dacd,c3f15b90,fda5d00e,1faa1b51,8ff47c4d,a4ba636a,f656da9,12a81f79,6252496d,1e519886,b2c2b073,25be2b4a), +S(b515ebe0,f48fb34e,9e01824c,d90553af,db116579,96667847,5ebaa700,242fd722,4cf08191,510fbf0,51f9e19a,198f11f6,ea31268c,2a6d384c,60557250,f0553c50), +S(c37581f1,35446ff3,e80cde04,ec987f08,5af3af9f,71d87494,99b03ba,dcb8f78c,9e46324a,8d8754fe,fbda7c34,2446cf72,b7472708,25cfb92f,a22a4e73,4f1e9bc7), +S(768392e3,b2ccbbc,21792f2d,6f43c63d,efcc249,bcd549cb,96abd8ef,4ae59e90,5d061a40,ac3f93d1,82f0f7a9,914fff5d,90bbacb9,1965882c,591e89bf,c49da994), +S(a9db5de9,2d96c715,8ce5ee00,3d186cf1,976f6a76,f1be0714,726594fb,6c1ba564,743df2a8,ee73fb4a,47b3d0f,2f2b8cab,5af5227,f232946a,82676e4e,8bb70c8b), +S(58921d8d,3712f640,657e762a,737ccd0a,cece1459,a2ba8323,20b43903,d4953f93,78c26959,7e422c02,c01fcbef,484a9d44,9f635c82,849bc2a3,2a9bf6ef,3e6f1e7e), +S(bae41760,ade541bb,60028015,f6906b78,aa41515a,d995dc40,afa091da,77ae8b9a,716ff74d,ad6dc24c,77ebe31f,abe19792,41d18b0f,43ff7598,c6ea04c6,6899219f), +S(e836ff6c,6f9e02e2,4e6f6bcc,2f2460b4,9de88730,6d69241f,b22fa574,7e100f80,77c41df1,4d87b6d3,de74deca,ad426635,f85daca0,ab966a4,5a26a972,32105c5), +S(c7f17d19,fbbf28e2,543fceb2,4268ff6f,1b85e189,79b09991,7457fca0,9ba1b5a4,23a6d4aa,83ee15bf,f1655575,3e4162c5,8acedadb,4c4abfc2,54b7018,f477514b), +S(79c337ad,8835046e,572eea35,df76276b,84e99172,7bbc68a6,8c0b743,28619a,af6cf2b3,9c6b51c9,f1f92e42,6598dcbe,39da6196,2abae0da,d5fc8d0a,aa16a875), +S(1e77739b,12d20887,2bfe200b,d202972a,544804f5,2b0969c5,c22fbe1c,b8b23837,880c7490,c0455322,a0f1e67d,34b3fd1e,33c1e7da,83b9b047,5aef7bc1,332ccee5), +S(b1d314c1,74d493f6,c36a893a,830d90b,f1e86d0c,6deceee0,edb77ff4,31e9607f,8a4ba010,ec3e47cb,29d8f056,e056eb73,3b6b35f6,4c742d06,9ab832f4,68bcd3be), +S(2498aea6,471f748a,f14e50e6,bc17e0a3,ee09514d,fccbd174,f8a21d02,dd0fae48,55a3949f,2e4188e2,b3d344ce,6f0276b5,99b121bc,358e8fe6,bc4f03f5,a8219d08), +S(42d0778e,27e87710,dd19285e,d531af1e,7064386d,11b1b3c9,fb788bf2,b0c112dc,37888909,d943825a,9610e37a,362549f,547b7c7d,ae64a27e,c34290f0,b4fc5fcc), +S(af09a9f8,3a21b2fd,69ce14c5,495c680e,df18e426,c1ca5a1c,af56246f,d6ea5bbd,8eae43ca,8e591017,62c4cb02,9e5cacd2,58f0fdb1,ddbef7e2,c5765208,107c96af)}, +{S(4a7f72ed,ebd8df1f,13db15be,3ab296a8,d67edee4,37965f03,eb501205,3518ddea,1f8c4dc1,2d0e59e7,7d30a326,fd4ecbf8,aacd5fb6,7dc7169,898a9708,ac46b972), +S(c4d4f8d4,949d1ff6,559925db,f4d34972,af16062b,d59493b8,b1e0d546,c2870874,cd7f93e6,c0ee3fdc,4267625a,a6620540,4f6d80c3,d0f7210a,ce6b52e,c350706e), +S(773627f7,dcc56184,7eabafa3,42fffade,325b8ee2,a96f2f77,cbe675a6,2942277d,fb0ad731,9bff4c9c,270d93d1,89a4c380,218ec9df,1f564228,641ab35c,46526bd6), +S(ff443101,befd0bd9,e1914864,3eceea06,b9cf711b,1405e3d5,3883a29f,906063ed,aa1b7d9f,59cbddf7,bc1ad03c,44c4295e,efb406ca,7960c683,eca508d1,b2a9a2dd), +S(cbfb6813,a6874b65,9234e866,c2875f70,e45f9f76,3d634752,3f86040c,880a2e56,ed85d1a,6620c1a4,85ba3038,d2ee6590,4e27206b,eaa531ec,1eb5b886,8232cbca), +S(4e85c77b,27788563,aaeba139,975f7125,f3c933b4,8d67ba6a,2e964243,bdd7bb51,200a9d9b,3400c87b,1fb98422,3200aeb8,e6a5af1d,58c061f0,d059c0b8,d431c08a), +S(d58178ed,f0ce32e3,39a524f7,ad389f7d,8817f41f,ed782612,45218816,2a67d4f0,4840df81,5dab9596,93f9284c,54bdee72,f4861d39,3944c648,ecd76ec5,6dd3225e), +S(670f8f7,9b66496d,13692558,d56d4cd7,a1eeb0d6,9e5133ab,4f0a064b,7152fce4,1a72206,6f530586,927c2e39,370d11f3,e251bd9e,eee10303,406b7592,716333d6), +S(10b41abd,ed4de2fe,b7a40050,e61e5982,89a8cf3,6eaa608c,f2a82c63,5788f1d0,532d168d,680e9c74,4d5111da,6aab902a,9a0f5283,7836b9d9,585dbc8b,1a407de4), +S(76abd21b,103aea9a,f04b4040,297894ce,a501474d,9d38d30,8ed02cc7,137bc7c9,b5a432ad,9e92935f,7040897e,3b04152f,693c5f2,cc1e1d53,2c33f70d,185318e1), +S(4335e10d,5e4f02e6,f1b58a0d,ffb473ec,15f735a3,bf96c140,50bae78c,37061db2,1301143b,1f29f122,afcd0230,d46b6b38,b154e589,92b7eeb4,16088968,a7d57485), +S(2b3966f0,7e37e771,ac4c68ad,b8eef3c0,977cb895,2f47676b,e658aa86,76057f67,5382a6c5,bcdd1a01,6d79d817,80faf650,c0a486bc,ea8fb592,1cd3492c,42c91c3e), +S(f7738800,b7fdf237,dc7f03fc,43724011,8b53aea4,4d7953d4,276f3b4d,bf5c0ff8,c1de7924,ef8dfeed,c4fb409,f1a15d4c,5e8ab42c,90ea9c92,867b5b5c,f2921605), +S(5cb07874,ac4ffb86,2da619be,4c8fa38b,e8b261ec,3ec73a12,cd4cf8fc,4f8d5dae,549d1896,4931dabf,ba4553a2,461f2660,87733454,ea8eec6b,f671e3de,60c70340), +S(5cc85d41,7b2ae9ac,dedb1b44,ce78d8a7,8f56b878,1a4b3af6,635a55c1,fead3be7,66a48c79,301e57d4,54cc8644,d2e778a8,45d85762,2c10eb98,d77eb873,e58bbeca), +S(f27211c9,a067b01c,7fe7fbf7,7b5d9b0,eb0f2475,9d541457,6eb24ba4,19fd3db8,e26d28eb,89f7b518,e9ae0b88,fadbfb9b,641d3a44,c59c6f93,ec28a541,486e041e)} +#elif (COMB_BLOCKS == 11) && (COMB_TEETH == 6) && (COMB_SPACING == 4) +{S(629bee58,a391595f,eb20c534,4933937a,cdb2eba1,86d49f8b,845c1b5f,4ca87182,8dae4162,73c6c068,2e2aede4,76efa86b,7612c07e,f72070d0,dc4486f1,47e95085), +S(6fd5e13c,a94b874b,28cd574b,726efdbf,143ab108,1089b846,7b5b2ebe,6c6a3c8f,4a4db306,52c9772a,868b2859,57c5a005,d83f6afa,6e65d87c,700da998,ce651396), +S(609b6576,191514f4,83f5b428,500cfbaf,96871b8b,3348fe5c,1a131768,bb266b6f,90abb9c1,1bf184d2,8dbc424a,bbf74eb8,de4e0582,2ea5dd93,7d1e8b30,e5f695e7), +S(b5ec0263,27cfd922,23a46abf,a755e6fc,547806ea,333666cf,a43865a3,f4ae647,143353c,cc733d02,617f7764,7dc29c65,67a2e245,aed27120,e5fc11b3,95ffb9c9), +S(ac1fff6,cd869ed5,ca920544,1ceb990c,ce304998,10e27587,6536dcd8,1d4cd15,67a7a012,3e5ea292,85dedf0a,9f138b80,58a1d23c,2a233c5d,783bec39,b6482126), +S(c1807552,644130a3,f9b8aea0,29fdccdd,59e03e27,ff2cb1f9,9d13cf0d,42da7b13,85e99587,f77a25b0,bc64b882,bd279fa3,5be0262e,c2f5253c,70a43261,bd1fe361), +S(42919187,2b3c6877,c3b91266,79266e49,9fa37a8d,74d094a8,8c4a3638,89c2717c,1e4bd2df,a9757d42,285cca1d,856b49b0,ad481ad,828d826e,8921f744,7e04d6ad), +S(d4b10124,283afe03,4b278e5a,91daf61b,be608417,fc845e1f,9b9f52a5,43659f2,fd070859,75e2bad6,b34e0396,47b81a87,cab9fb,fdba802f,6ae3cc8b,67cc98cb), +S(ec4c2c4c,722a54ae,edc37acd,cb6ac490,3077bdf6,3f2c145c,7eb25e74,87c046aa,327bfe37,d745283b,a385dfd0,8e30b61e,2b4e5499,4432be41,fd3f0d31,c00e9ed7), +S(559e40a7,e151eeeb,46442b86,aaf4922c,12030adf,7279bb2,2bca24c6,67566a05,5483756f,60d26b97,82033592,cec21681,c5b5496a,c47f600,2013e5e5,f2ea82df), +S(c1d2e92,19c0138a,9f0a34fd,acc92f4,eafe13cf,1c004b6a,3175133d,6cc7bf12,8fa653f2,a20c1262,be59c7db,20f12579,b2adb1ff,54d84ebc,e5ad4116,3d2ebc23), +S(1becc6c0,e4861825,576624e4,fa622c01,139d9cb0,50c12062,9b87ae6b,9622245,d8516472,656ea10f,5b23839d,43f64e,85fc727b,faafcb6c,fc9c6e89,bf9c038d), +S(c483c2b3,8ceefd35,a9fa9e7a,da242c,d618cd6c,8b3bcb62,e39d68e,c1effab2,71964aca,9101863a,d7c865f2,41e814ef,3c20face,f46246b6,4a742026,471b2495), +S(3487162e,40c7efa6,92bc827f,9af9121e,af5ac549,b4ab6585,6353d699,a94a3783,f5b29042,28833bd6,e3ce0deb,dc0396ca,42701752,f930f437,d042cab2,8f135c1a), +S(eb3b21fa,f733f15a,b94ee0e4,3378e9b6,47571aff,d69292ad,a1b107c8,ad511d5f,cd95b4ad,b8768858,cb750cbb,4fa64523,6b6fde59,ceb71dd4,73a7fe48,9e5a2304), +S(21c8dd7c,34d3f333,758d1d1b,72748fe0,8695af46,3d0bd9ad,e4a6498d,1d01e9df,634d8671,7b885f36,a54b6691,35c3c026,667f3cb6,f2577701,beb0d3bb,84f07940), +S(608e33b8,14998177,5d78e286,d5c6436f,99623417,4e887da0,a95274a0,d120b57d,5d094ca1,181f8dca,87d1e043,f798bfaa,f1004edf,a470fce0,7ff8b124,328397a5), +S(f77710b4,dbc5f7fb,ac6b015e,956ed26a,6bbfb540,6a931a30,d4215aed,de610c7,7508a762,a7333ca8,ac244d6,47e47647,c62c82d,387d8df6,175fb563,1de83d54), +S(f37040aa,b0347fe,976d5980,cbd83db5,4d8cb90e,7f2d2118,85159911,af769d61,df228dd7,67fa0d5c,d44c3f6d,b09e662b,99faa5c6,688b088d,949ddab1,6f11e42), +S(7bf929f3,25374a1b,a0cbaa50,db47fea2,a5d1e3f9,3c34bddc,ea5c2250,d8252071,8fe2d2bf,b23a6755,50f16760,a6511ae8,4e4d316c,45d7cd62,4411ad3f,c72805c), +S(261bc0f3,a69d636a,b82248,6132bf91,2ab7ca95,e9a4925,b3f68bb4,745ee63a,68f52f7,df1ec349,77856c74,7b280907,cb3d456f,988ff7a7,225c4ace,8457a804), +S(60ef138d,e7086d09,711defff,68dad211,88d7f878,d616efb6,dbd3d498,5b730243,ca7c3297,3c56b178,b0cfb8a,da98748a,c3d06cc0,7fe050d7,3a6a9695,52500f8e), 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+S(36602997,eba2c6c5,aab4cb65,8d4efd46,65ab3965,f643ff66,831646dc,f6443bf3,c82d0e80,ef775f9c,7ec7862a,e3158556,a57038d,e6850dd1,e349629c,2546239), +S(9eb9244b,299bfd76,f63bb140,ae2f42a1,4af1e072,83f8259f,6478ac03,d411df24,e43f91da,13c2ba21,a9d17d2f,7a8a629d,9051346,93a6552a,538d590,9d2bdd38), +S(ba4450fa,27d57993,3d949a1a,66013906,7d1a9716,6794993d,e45d9426,b4bfc5ed,8e3f3b9b,d8cb8210,7a5ae2af,92b96259,b73633f,6528ac04,20c3e101,6bb6d8a8), +S(e6d5335f,b67abd36,2712c7fe,575ee769,53d488b,236e8589,5664fb04,7f385248,9e255154,e070a5bb,e98e97f6,281fb999,a75e68ea,7681fdf6,fea093bd,919aa5a4), +S(63c099a9,300a331a,3bc4348a,a373e514,c84a810e,1ea8a8d1,4ac8d7cb,818eb534,ed7d4029,3cc4a086,b1d40c24,6086109,a02dbcb5,a864777,27939024,6fd6bf91), +S(7088617f,66cd93f,8130eaeb,874c3f77,3bcb0daa,78923b70,a65512a2,992554dc,5a3ff995,3c712066,291ac4a2,dfc2573e,1d0aed56,75ef526b,b15f61b0,d20f8156), +S(cc354aaf,746d756b,9387730f,2f12b999,4fcd815c,6d25cdab,2e1185aa,4aa639b3,fb1dead9,4fd76859,1aac8d79,5c337924,dc155fbe,5cd5c953,4d55ee31,f6d284a6), +S(e7e47c3a,e2bf4307,7f33ec3d,ac1ae2a7,5c669e61,e248f588,590cfe07,3e2186e0,46e9c4d5,4429fdcf,5efb375e,18f46cc8,3fa7a403,6013777f,e450e228,aebd4cd0), +S(c6ed5e63,28ec31b1,37041108,42d4ac23,fbb883bb,349d88db,1d747cf7,325fe9cc,21b8bfa4,b62807cf,d6cd11ed,a38084d5,7bb068d4,9f0dd30e,f3f431e2,b57022e4), +S(331924c7,50b3417e,48e279ff,6ed7f3dc,ba2e121e,9f69f8fb,e64093b6,c38a8cc6,357086be,e4cc0fe7,d45a49fe,41d004ce,80466165,316164ab,3b171f03,b9a7841f), +S(b4319cc9,f3e0d3b,313626ae,5385796b,c49b300c,88ba4553,dec0aa4a,77829372,b8f82bb6,6590afd4,48501f,63de3a5d,8f84edea,35c1ee44,88d6333e,f522a808), +S(da433d5e,11ceccc0,abc5c762,6ce7bab4,2e89b221,f785c409,282de545,f3fceb19,1b67242c,de57efcf,e214423b,506a1ade,718803d2,6dd84d88,97b18ede,590a2fcb)}, +{S(ebae7464,ece277b8,309d056c,cf3775e2,11a77aa,81c316a4,b6b7b953,6f90f539,62a4d6a2,95fdd811,f2051715,322f17e5,1753c9d0,835ef9a0,3e8dc9f5,c69bda31), +S(5b20700c,1af63394,a3e4cadb,b0ea682e,19cf495a,b908418a,d41f4c6c,ea4477f0,8435d15e,34b03a22,ca89c73d,326c2f88,142d2e23,8964ef6d,99287125,79738f78), +S(b2f25f91,138b974b,561328c0,92f50fdf,8a694004,fd4879d0,12a4a6cc,c8059d1d,d9ec0b2d,b8e81b2,f6feaf55,9776ff78,cda3401b,47826de0,ca06e579,9d866c09), +S(64e79790,7783d6fb,321eb785,acdeb2ff,4628270,fec3342c,527c8db0,a34c516e,c0c4da5d,abf3da9c,a8613f82,ca28e84,a1a18376,c9967c08,aaf70bea,7a2f34c2), +S(a50cae84,a08f4f32,4984853a,d4c6bdaf,77eaa788,9cb8fe95,72fd56e,9078ee73,120ecbf,76e47b38,503067c8,36853003,60ed261a,40fdf440,161ef2cd,19786b93), +S(76ff3ac8,80a451a9,6741fc70,82bc4c82,7bd51c08,95eea8c8,b422b8a9,96ba4794,25555d71,d4313a60,b189a154,58e0a40,c643c204,277334e,966e2abd,3a23f6c3), +S(307e5caa,8b708760,3d9f845b,b78f4f10,72c49c10,9747f91d,192f8d6e,70c0f4be,f5992f76,37167e1d,55cd31a6,1cdb4756,85eb1503,34fb6009,e0240a18,fa8302b8), +S(d8e62e47,b28fd165,4d420137,884dcf21,c10cb159,d9885843,da34b0d9,d09b2758,675c75b4,b903ad28,2055a71b,2c470e2b,1dce69bf,ecf160cf,3a027de2,55b723a9), +S(ec5639c7,73dac23d,3008dabf,732dc005,3154703d,26ee3bbc,7689286e,4a73e39f,aaa5ea4a,2cf5c23d,57cdd0d8,8accbbf9,9fd2c213,97bb45f8,83547876,3aab1248), +S(3d928ee3,2065557a,27722f08,5202f48f,40917ed6,c7ac1963,2a122226,8b0cb9df,ece112a4,e7a05ad6,17c2fd83,76f89102,9eb94eb0,930fb23c,a342d7f1,f021a0c7), +S(616228a5,cc6c3a92,cd694cec,4b2b8574,5dfffa90,b2a36d8f,32eaa6cc,2530de51,50d8d140,4d506a78,700f8e82,967b36a5,1b4de644,a8e22271,d509c8d2,4adf3148), +S(6f85f308,e847b145,c13a07be,bebdd4ba,6c138939,6afd8670,733f44a8,969406d0,864bcde1,be36c9c7,b7e04ef8,cd2366e2,b3c22902,5ee7efce,d005ef5b,ff7dae2b), +S(f3d1ecc3,53a82621,1bd78f0f,aa029076,c6ca779,9bdc54b2,128fa3d2,aec00c6d,75aa0cf9,fd0b7bed,19183e34,58142f66,c94a5aa9,3915435e,ae51c1fe,96625ccd), +S(a5918de3,f18cd8d1,2a234f9f,3a19fcaa,2d83671d,ad566f16,8aea2b1f,b9de41b0,c515dda6,43c0f6c8,d8fea16,5d595917,16b7f521,43d3b941,f28585ed,8a49c06c), +S(3c49e2ef,1d2d3464,81e05fa0,33366609,1615ebcf,535f68,be257f35,7bd91592,57901e0a,c8af3a31,aa404987,72c903fd,175c9b00,5c7458ee,ed667f11,57754132), +S(6c45ff2,c0c30320,83c343e6,dc80b4f7,bb64502a,52f412ff,ada521d4,a544a9f0,e9936037,f1e641eb,1cd6f801,a25271d3,cffe67d,c9bd7162,babf9855,9628a9a8), +S(66df5d95,acdf4260,ee0e465c,e3916d79,395df522,aa086aeb,6c283bb7,18296d46,cb1f3deb,8aea0337,625f46dd,903416d1,5647be91,1633c4c0,cf0e629a,413476fc), +S(428bbba5,ef351762,9eee4059,a3339213,40c7fee2,5ccb051c,88d75e53,ba618858,ef18809c,28227ccc,115876df,b3f378cd,374c0670,2c658501,7990e767,922c3999), +S(e8993820,d782657,ed8badc2,d515e360,df336730,860ef49e,65ca58dd,1a385815,feb41189,16c7e8f6,53c7f5a6,5fd7b6be,7a029814,149c4645,847073be,770959de), +S(2b77e42a,63502244,d6c7d1be,54b7857,9e2742d2,7143d689,fa3f70a3,5986ccf1,721e9da8,bee88ad4,2155dc9a,28be505,86648378,1d6af5b1,382cd47d,771e6428), +S(acffce3a,ed6beea3,2ad71633,21e1ca53,6f69ce76,fb5cd394,9d9dcc14,bbcee96,5384c97d,eac946c0,afc85b54,f3a56b79,fe263bff,63e1894c,6d52ef1b,9b456602), +S(e13d8d4b,25bece8d,90a008e4,c004824e,223b06b,7cf65ebd,1215e910,2e67b639,3e92b1f,14cbee57,9640b377,6ed5938f,9aee0e11,b139a678,3f207cf4,6dd7e20b), +S(d8f356d9,d2498eaa,b3fa12a,cb64562b,dff3e270,c7809a31,25a9ae65,9cb1f3c5,a5403cda,2d499a7c,7402b57c,c9f99e3,64f5085a,91fd8cfd,8a67c7a8,dbce04fb), +S(350062b5,22fb5d0a,8c79a5db,29e92216,79b9fbc6,3e1f95ca,e7d087f3,fedffc49,74cacf57,5e79c85b,d7e77a40,796e8750,a3ca57f2,a47cce8f,3d2de02d,b014df0b), +S(c159e630,9ab23135,58ebfb6b,22edaf93,eac8e16,77cd9f3b,1cd9492,20bf8e54,99244263,53f32608,831c6d74,da51d61,c344defe,f4c1e401,6a3db44b,4c57f4ae), +S(9e568b70,36a2daa2,fe7a3a52,49c56eb8,3fe4afa2,decebd60,c6c3245f,17bc6a13,b6643644,274eab9f,5e83c598,14978681,17c5a078,765156ae,3cb65fd3,830e06ae), +S(9bee7471,6b6c1ff5,62c1bc36,57a65de3,99a91d72,115703f4,4c3819a1,87828478,bb23a3da,ed34028a,7d39a7ed,fe2e23b,73e085a2,d6c2e51a,ef2a2076,a7c902ad), +S(c430c044,91228a7a,ea835698,ecf0f552,9aeef469,a36305cb,52902ccd,1c897473,40d0ee56,61cca82,80d11da,bffe97c4,f10c93aa,5e07224c,154b666e,bcd58c74), +S(2be073f6,b294a01b,eda0b0db,6832e4bc,23ef3889,7a859853,5ee726ef,ae0f15b1,6153f846,349c2a98,26008065,8be2a7d8,311a5e70,cc310ff8,7935a901,8d575813), +S(2934de46,a6d921f8,720567e6,b46e6362,36a7ed53,483b13ed,20958452,3225accd,5979698,26927cd7,abfe4c57,c53fc72a,48b71679,174c749d,aecdb057,e6a2d961), +S(4e9991b,92fa8c4e,4e8efe45,66966073,319e80d3,a54d4b7a,b61cfcc4,7ddaa5d5,9d03ea22,21d4d80e,261952e2,73f6a8cf,c31f6091,e5aa0a8f,2281ffbf,1345df9e), +S(ff3d6136,ffac5b0c,bfc6c5c0,c30dc01a,7ea3d56c,20bd3103,b178e3d3,ae180068,eccdc641,7b1bfff1,bf2fc8d3,2269523e,ab89890d,bffe0a19,8f594490,e7739bb8)} +#else +# error Configuration mismatch, invalid COMB_* parameters. Try deleting precomputed_ecmult_gen.c before the build. #endif }; #undef S diff --git a/src/precomputed_ecmult_gen.h b/src/precomputed_ecmult_gen.h index 7256ad2e30..00ddce108b 100644 --- a/src/precomputed_ecmult_gen.h +++ b/src/precomputed_ecmult_gen.h @@ -13,10 +13,12 @@ extern "C" { #include "group.h" #include "ecmult_gen.h" +#include "util_local_visibility.h" + #ifdef EXHAUSTIVE_TEST_ORDER -static secp256k1_ge_storage secp256k1_ecmult_gen_prec_table[ECMULT_GEN_PREC_N(ECMULT_GEN_PREC_BITS)][ECMULT_GEN_PREC_G(ECMULT_GEN_PREC_BITS)]; +static secp256k1_ge_storage secp256k1_ecmult_gen_prec_table[COMB_BLOCKS][COMB_POINTS]; #else -extern const secp256k1_ge_storage secp256k1_ecmult_gen_prec_table[ECMULT_GEN_PREC_N(ECMULT_GEN_PREC_BITS)][ECMULT_GEN_PREC_G(ECMULT_GEN_PREC_BITS)]; +SECP256K1_LOCAL_VAR const secp256k1_ge_storage secp256k1_ecmult_gen_prec_table[COMB_BLOCKS][COMB_POINTS]; #endif /* defined(EXHAUSTIVE_TEST_ORDER) */ #ifdef __cplusplus diff --git a/src/scalar.h b/src/scalar.h index 63c0d646a3..70f49b1cf2 100644 --- a/src/scalar.h +++ b/src/scalar.h @@ -22,11 +22,11 @@ /** Clear a scalar to prevent the leak of sensitive data. */ static void secp256k1_scalar_clear(secp256k1_scalar *r); -/** Access bits from a scalar. All requested bits must belong to the same 32-bit limb. */ -static unsigned int secp256k1_scalar_get_bits(const secp256k1_scalar *a, unsigned int offset, unsigned int count); +/** Access bits (1 < count <= 32) from a scalar. All requested bits must belong to the same 32-bit limb. */ +static uint32_t secp256k1_scalar_get_bits_limb32(const secp256k1_scalar *a, unsigned int offset, unsigned int count); -/** Access bits from a scalar. Not constant time. */ -static unsigned int secp256k1_scalar_get_bits_var(const secp256k1_scalar *a, unsigned int offset, unsigned int count); +/** Access bits (1 < count <= 32) from a scalar. offset + count must be < 256. Not constant time in offset and count. */ +static uint32_t secp256k1_scalar_get_bits_var(const secp256k1_scalar *a, unsigned int offset, unsigned int count); /** Set a scalar from a big endian byte array. The scalar will be reduced modulo group order `n`. * In: bin: pointer to a 32-byte array. @@ -54,10 +54,6 @@ static void secp256k1_scalar_cadd_bit(secp256k1_scalar *r, unsigned int bit, int /** Multiply two scalars (modulo the group order). */ static void secp256k1_scalar_mul(secp256k1_scalar *r, const secp256k1_scalar *a, const secp256k1_scalar *b); -/** Shift a scalar right by some amount strictly between 0 and 16, returning - * the low bits that were shifted off */ -static int secp256k1_scalar_shr_int(secp256k1_scalar *r, int n); - /** Compute the inverse of a scalar (modulo the group order). */ static void secp256k1_scalar_inverse(secp256k1_scalar *r, const secp256k1_scalar *a); @@ -67,6 +63,9 @@ static void secp256k1_scalar_inverse_var(secp256k1_scalar *r, const secp256k1_sc /** Compute the complement of a scalar (modulo the group order). */ static void secp256k1_scalar_negate(secp256k1_scalar *r, const secp256k1_scalar *a); +/** Multiply a scalar with the multiplicative inverse of 2. */ +static void secp256k1_scalar_half(secp256k1_scalar *r, const secp256k1_scalar *a); + /** Check whether a scalar equals zero. */ static int secp256k1_scalar_is_zero(const secp256k1_scalar *a); @@ -99,4 +98,8 @@ static void secp256k1_scalar_mul_shift_var(secp256k1_scalar *r, const secp256k1_ /** If flag is true, set *r equal to *a; otherwise leave it. Constant-time. Both *r and *a must be initialized.*/ static void secp256k1_scalar_cmov(secp256k1_scalar *r, const secp256k1_scalar *a, int flag); +/** Check invariants on a scalar (no-op unless VERIFY is enabled). */ +static void secp256k1_scalar_verify(const secp256k1_scalar *r); +#define SECP256K1_SCALAR_VERIFY(r) secp256k1_scalar_verify(r) + #endif /* SECP256K1_SCALAR_H */ diff --git a/src/scalar_4x64_impl.h b/src/scalar_4x64_impl.h index 1b83575b3e..807b9b70ab 100644 --- a/src/scalar_4x64_impl.h +++ b/src/scalar_4x64_impl.h @@ -10,6 +10,7 @@ #include "checkmem.h" #include "int128.h" #include "modinv64_impl.h" +#include "util.h" /* Limbs of the secp256k1 order. */ #define SECP256K1_N_0 ((uint64_t)0xBFD25E8CD0364141ULL) @@ -28,33 +29,33 @@ #define SECP256K1_N_H_2 ((uint64_t)0xFFFFFFFFFFFFFFFFULL) #define SECP256K1_N_H_3 ((uint64_t)0x7FFFFFFFFFFFFFFFULL) -SECP256K1_INLINE static void secp256k1_scalar_clear(secp256k1_scalar *r) { - r->d[0] = 0; - r->d[1] = 0; - r->d[2] = 0; - r->d[3] = 0; -} - SECP256K1_INLINE static void secp256k1_scalar_set_int(secp256k1_scalar *r, unsigned int v) { r->d[0] = v; r->d[1] = 0; r->d[2] = 0; r->d[3] = 0; + + SECP256K1_SCALAR_VERIFY(r); } -SECP256K1_INLINE static unsigned int secp256k1_scalar_get_bits(const secp256k1_scalar *a, unsigned int offset, unsigned int count) { +SECP256K1_INLINE static uint32_t secp256k1_scalar_get_bits_limb32(const secp256k1_scalar *a, unsigned int offset, unsigned int count) { + SECP256K1_SCALAR_VERIFY(a); + VERIFY_CHECK(count > 0 && count <= 32); VERIFY_CHECK((offset + count - 1) >> 6 == offset >> 6); - return (a->d[offset >> 6] >> (offset & 0x3F)) & ((((uint64_t)1) << count) - 1); + + return (a->d[offset >> 6] >> (offset & 0x3F)) & (0xFFFFFFFF >> (32 - count)); } -SECP256K1_INLINE static unsigned int secp256k1_scalar_get_bits_var(const secp256k1_scalar *a, unsigned int offset, unsigned int count) { - VERIFY_CHECK(count < 32); +SECP256K1_INLINE static uint32_t secp256k1_scalar_get_bits_var(const secp256k1_scalar *a, unsigned int offset, unsigned int count) { + SECP256K1_SCALAR_VERIFY(a); + VERIFY_CHECK(count > 0 && count <= 32); VERIFY_CHECK(offset + count <= 256); + if ((offset + count - 1) >> 6 == offset >> 6) { - return secp256k1_scalar_get_bits(a, offset, count); + return secp256k1_scalar_get_bits_limb32(a, offset, count); } else { VERIFY_CHECK((offset >> 6) + 1 < 4); - return ((a->d[offset >> 6] >> (offset & 0x3F)) | (a->d[(offset >> 6) + 1] << (64 - (offset & 0x3F)))) & ((((uint64_t)1) << count) - 1); + return ((a->d[offset >> 6] >> (offset & 0x3F)) | (a->d[(offset >> 6) + 1] << (64 - (offset & 0x3F)))) & (0xFFFFFFFF >> (32 - count)); } } @@ -73,6 +74,7 @@ SECP256K1_INLINE static int secp256k1_scalar_check_overflow(const secp256k1_scal SECP256K1_INLINE static int secp256k1_scalar_reduce(secp256k1_scalar *r, unsigned int overflow) { secp256k1_uint128 t; VERIFY_CHECK(overflow <= 1); + secp256k1_u128_from_u64(&t, r->d[0]); secp256k1_u128_accum_u64(&t, overflow * SECP256K1_N_C_0); r->d[0] = secp256k1_u128_to_u64(&t); secp256k1_u128_rshift(&t, 64); @@ -84,12 +86,17 @@ SECP256K1_INLINE static int secp256k1_scalar_reduce(secp256k1_scalar *r, unsigne r->d[2] = secp256k1_u128_to_u64(&t); secp256k1_u128_rshift(&t, 64); secp256k1_u128_accum_u64(&t, r->d[3]); r->d[3] = secp256k1_u128_to_u64(&t); + + SECP256K1_SCALAR_VERIFY(r); return overflow; } static int secp256k1_scalar_add(secp256k1_scalar *r, const secp256k1_scalar *a, const secp256k1_scalar *b) { int overflow; secp256k1_uint128 t; + SECP256K1_SCALAR_VERIFY(a); + SECP256K1_SCALAR_VERIFY(b); + secp256k1_u128_from_u64(&t, a->d[0]); secp256k1_u128_accum_u64(&t, b->d[0]); r->d[0] = secp256k1_u128_to_u64(&t); secp256k1_u128_rshift(&t, 64); @@ -105,13 +112,18 @@ static int secp256k1_scalar_add(secp256k1_scalar *r, const secp256k1_scalar *a, overflow = secp256k1_u128_to_u64(&t) + secp256k1_scalar_check_overflow(r); VERIFY_CHECK(overflow == 0 || overflow == 1); secp256k1_scalar_reduce(r, overflow); + + SECP256K1_SCALAR_VERIFY(r); return overflow; } static void secp256k1_scalar_cadd_bit(secp256k1_scalar *r, unsigned int bit, int flag) { secp256k1_uint128 t; + volatile int vflag = flag; + SECP256K1_SCALAR_VERIFY(r); VERIFY_CHECK(bit < 256); - bit += ((uint32_t) flag - 1) & 0x100; /* forcing (bit >> 6) > 3 makes this a noop */ + + bit += ((uint32_t) vflag - 1) & 0x100; /* forcing (bit >> 6) > 3 makes this a noop */ secp256k1_u128_from_u64(&t, r->d[0]); secp256k1_u128_accum_u64(&t, ((uint64_t)((bit >> 6) == 0)) << (bit & 0x3F)); r->d[0] = secp256k1_u128_to_u64(&t); secp256k1_u128_rshift(&t, 64); @@ -124,37 +136,45 @@ static void secp256k1_scalar_cadd_bit(secp256k1_scalar *r, unsigned int bit, int secp256k1_u128_accum_u64(&t, r->d[3]); secp256k1_u128_accum_u64(&t, ((uint64_t)((bit >> 6) == 3)) << (bit & 0x3F)); r->d[3] = secp256k1_u128_to_u64(&t); -#ifdef VERIFY + + SECP256K1_SCALAR_VERIFY(r); VERIFY_CHECK(secp256k1_u128_hi_u64(&t) == 0); -#endif } static void secp256k1_scalar_set_b32(secp256k1_scalar *r, const unsigned char *b32, int *overflow) { int over; - r->d[0] = (uint64_t)b32[31] | (uint64_t)b32[30] << 8 | (uint64_t)b32[29] << 16 | (uint64_t)b32[28] << 24 | (uint64_t)b32[27] << 32 | (uint64_t)b32[26] << 40 | (uint64_t)b32[25] << 48 | (uint64_t)b32[24] << 56; - r->d[1] = (uint64_t)b32[23] | (uint64_t)b32[22] << 8 | (uint64_t)b32[21] << 16 | (uint64_t)b32[20] << 24 | (uint64_t)b32[19] << 32 | (uint64_t)b32[18] << 40 | (uint64_t)b32[17] << 48 | (uint64_t)b32[16] << 56; - r->d[2] = (uint64_t)b32[15] | (uint64_t)b32[14] << 8 | (uint64_t)b32[13] << 16 | (uint64_t)b32[12] << 24 | (uint64_t)b32[11] << 32 | (uint64_t)b32[10] << 40 | (uint64_t)b32[9] << 48 | (uint64_t)b32[8] << 56; - r->d[3] = (uint64_t)b32[7] | (uint64_t)b32[6] << 8 | (uint64_t)b32[5] << 16 | (uint64_t)b32[4] << 24 | (uint64_t)b32[3] << 32 | (uint64_t)b32[2] << 40 | (uint64_t)b32[1] << 48 | (uint64_t)b32[0] << 56; + r->d[0] = secp256k1_read_be64(&b32[24]); + r->d[1] = secp256k1_read_be64(&b32[16]); + r->d[2] = secp256k1_read_be64(&b32[8]); + r->d[3] = secp256k1_read_be64(&b32[0]); over = secp256k1_scalar_reduce(r, secp256k1_scalar_check_overflow(r)); if (overflow) { *overflow = over; } + + SECP256K1_SCALAR_VERIFY(r); } static void secp256k1_scalar_get_b32(unsigned char *bin, const secp256k1_scalar* a) { - bin[0] = a->d[3] >> 56; bin[1] = a->d[3] >> 48; bin[2] = a->d[3] >> 40; bin[3] = a->d[3] >> 32; bin[4] = a->d[3] >> 24; bin[5] = a->d[3] >> 16; bin[6] = a->d[3] >> 8; bin[7] = a->d[3]; - bin[8] = a->d[2] >> 56; bin[9] = a->d[2] >> 48; bin[10] = a->d[2] >> 40; bin[11] = a->d[2] >> 32; bin[12] = a->d[2] >> 24; bin[13] = a->d[2] >> 16; bin[14] = a->d[2] >> 8; bin[15] = a->d[2]; - bin[16] = a->d[1] >> 56; bin[17] = a->d[1] >> 48; bin[18] = a->d[1] >> 40; bin[19] = a->d[1] >> 32; bin[20] = a->d[1] >> 24; bin[21] = a->d[1] >> 16; bin[22] = a->d[1] >> 8; bin[23] = a->d[1]; - bin[24] = a->d[0] >> 56; bin[25] = a->d[0] >> 48; bin[26] = a->d[0] >> 40; bin[27] = a->d[0] >> 32; bin[28] = a->d[0] >> 24; bin[29] = a->d[0] >> 16; bin[30] = a->d[0] >> 8; bin[31] = a->d[0]; + SECP256K1_SCALAR_VERIFY(a); + + secp256k1_write_be64(&bin[0], a->d[3]); + secp256k1_write_be64(&bin[8], a->d[2]); + secp256k1_write_be64(&bin[16], a->d[1]); + secp256k1_write_be64(&bin[24], a->d[0]); } SECP256K1_INLINE static int secp256k1_scalar_is_zero(const secp256k1_scalar *a) { + SECP256K1_SCALAR_VERIFY(a); + return (a->d[0] | a->d[1] | a->d[2] | a->d[3]) == 0; } static void secp256k1_scalar_negate(secp256k1_scalar *r, const secp256k1_scalar *a) { uint64_t nonzero = 0xFFFFFFFFFFFFFFFFULL * (secp256k1_scalar_is_zero(a) == 0); secp256k1_uint128 t; + SECP256K1_SCALAR_VERIFY(a); + secp256k1_u128_from_u64(&t, ~a->d[0]); secp256k1_u128_accum_u64(&t, SECP256K1_N_0 + 1); r->d[0] = secp256k1_u128_to_u64(&t) & nonzero; secp256k1_u128_rshift(&t, 64); @@ -167,15 +187,62 @@ static void secp256k1_scalar_negate(secp256k1_scalar *r, const secp256k1_scalar secp256k1_u128_accum_u64(&t, ~a->d[3]); secp256k1_u128_accum_u64(&t, SECP256K1_N_3); r->d[3] = secp256k1_u128_to_u64(&t) & nonzero; + + SECP256K1_SCALAR_VERIFY(r); +} + +static void secp256k1_scalar_half(secp256k1_scalar *r, const secp256k1_scalar *a) { + /* Writing `/` for field division and `//` for integer division, we compute + * + * a/2 = (a - (a&1))/2 + (a&1)/2 + * = (a >> 1) + (a&1 ? 1/2 : 0) + * = (a >> 1) + (a&1 ? n//2+1 : 0), + * + * where n is the group order and in the last equality we have used 1/2 = n//2+1 (mod n). + * For n//2, we have the constants SECP256K1_N_H_0, ... + * + * This sum does not overflow. The most extreme case is a = -2, the largest odd scalar. Here: + * - the left summand is: a >> 1 = (a - a&1)/2 = (n-2-1)//2 = (n-3)//2 + * - the right summand is: a&1 ? n//2+1 : 0 = n//2+1 = (n-1)//2 + 2//2 = (n+1)//2 + * Together they sum to (n-3)//2 + (n+1)//2 = (2n-2)//2 = n - 1, which is less than n. + */ + uint64_t mask = -(uint64_t)(a->d[0] & 1U); + secp256k1_uint128 t; + SECP256K1_SCALAR_VERIFY(a); + + secp256k1_u128_from_u64(&t, (a->d[0] >> 1) | (a->d[1] << 63)); + secp256k1_u128_accum_u64(&t, (SECP256K1_N_H_0 + 1U) & mask); + r->d[0] = secp256k1_u128_to_u64(&t); secp256k1_u128_rshift(&t, 64); + secp256k1_u128_accum_u64(&t, (a->d[1] >> 1) | (a->d[2] << 63)); + secp256k1_u128_accum_u64(&t, SECP256K1_N_H_1 & mask); + r->d[1] = secp256k1_u128_to_u64(&t); secp256k1_u128_rshift(&t, 64); + secp256k1_u128_accum_u64(&t, (a->d[2] >> 1) | (a->d[3] << 63)); + secp256k1_u128_accum_u64(&t, SECP256K1_N_H_2 & mask); + r->d[2] = secp256k1_u128_to_u64(&t); secp256k1_u128_rshift(&t, 64); + r->d[3] = secp256k1_u128_to_u64(&t) + (a->d[3] >> 1) + (SECP256K1_N_H_3 & mask); +#ifdef VERIFY + /* The line above only computed the bottom 64 bits of r->d[3]; redo the computation + * in full 128 bits to make sure the top 64 bits are indeed zero. */ + secp256k1_u128_accum_u64(&t, a->d[3] >> 1); + secp256k1_u128_accum_u64(&t, SECP256K1_N_H_3 & mask); + secp256k1_u128_rshift(&t, 64); + VERIFY_CHECK(secp256k1_u128_to_u64(&t) == 0); + + SECP256K1_SCALAR_VERIFY(r); +#endif } SECP256K1_INLINE static int secp256k1_scalar_is_one(const secp256k1_scalar *a) { + SECP256K1_SCALAR_VERIFY(a); + return ((a->d[0] ^ 1) | a->d[1] | a->d[2] | a->d[3]) == 0; } static int secp256k1_scalar_is_high(const secp256k1_scalar *a) { int yes = 0; int no = 0; + SECP256K1_SCALAR_VERIFY(a); + no |= (a->d[3] < SECP256K1_N_H_3); yes |= (a->d[3] > SECP256K1_N_H_3) & ~no; no |= (a->d[2] < SECP256K1_N_H_2) & ~yes; /* No need for a > check. */ @@ -188,9 +255,12 @@ static int secp256k1_scalar_is_high(const secp256k1_scalar *a) { static int secp256k1_scalar_cond_negate(secp256k1_scalar *r, int flag) { /* If we are flag = 0, mask = 00...00 and this is a no-op; * if we are flag = 1, mask = 11...11 and this is identical to secp256k1_scalar_negate */ - uint64_t mask = !flag - 1; + volatile int vflag = flag; + uint64_t mask = -vflag; uint64_t nonzero = (secp256k1_scalar_is_zero(r) != 0) - 1; secp256k1_uint128 t; + SECP256K1_SCALAR_VERIFY(r); + secp256k1_u128_from_u64(&t, r->d[0] ^ mask); secp256k1_u128_accum_u64(&t, (SECP256K1_N_0 + 1) & mask); r->d[0] = secp256k1_u128_to_u64(&t) & nonzero; secp256k1_u128_rshift(&t, 64); @@ -203,6 +273,8 @@ static int secp256k1_scalar_cond_negate(secp256k1_scalar *r, int flag) { secp256k1_u128_accum_u64(&t, r->d[3] ^ mask); secp256k1_u128_accum_u64(&t, SECP256K1_N_3 & mask); r->d[3] = secp256k1_u128_to_u64(&t) & nonzero; + + SECP256K1_SCALAR_VERIFY(r); return 2 * (mask == 0) - 1; } @@ -380,10 +452,18 @@ static void secp256k1_scalar_reduce_512(secp256k1_scalar *r, const uint64_t *l) "movq %%r10, %q5\n" /* extract m6 */ "movq %%r8, %q6\n" - : "=g"(m0), "=g"(m1), "=g"(m2), "=g"(m3), "=g"(m4), "=g"(m5), "=g"(m6) + : "=&g"(m0), "=&g"(m1), "=&g"(m2), "=g"(m3), "=g"(m4), "=g"(m5), "=g"(m6) : "S"(l), "i"(SECP256K1_N_C_0), "i"(SECP256K1_N_C_1) : "rax", "rdx", "r8", "r9", "r10", "r11", "r12", "r13", "r14", "cc"); + SECP256K1_CHECKMEM_MSAN_DEFINE(&m0, sizeof(m0)); + SECP256K1_CHECKMEM_MSAN_DEFINE(&m1, sizeof(m1)); + SECP256K1_CHECKMEM_MSAN_DEFINE(&m2, sizeof(m2)); + SECP256K1_CHECKMEM_MSAN_DEFINE(&m3, sizeof(m3)); + SECP256K1_CHECKMEM_MSAN_DEFINE(&m4, sizeof(m4)); + SECP256K1_CHECKMEM_MSAN_DEFINE(&m5, sizeof(m5)); + SECP256K1_CHECKMEM_MSAN_DEFINE(&m6, sizeof(m6)); + /* Reduce 385 bits into 258. */ __asm__ __volatile__( /* Preload */ @@ -463,6 +543,12 @@ static void secp256k1_scalar_reduce_512(secp256k1_scalar *r, const uint64_t *l) : "g"(m0), "g"(m1), "g"(m2), "g"(m3), "g"(m4), "g"(m5), "g"(m6), "i"(SECP256K1_N_C_0), "i"(SECP256K1_N_C_1) : "rax", "rdx", "r8", "r9", "r10", "r11", "r12", "r13", "cc"); + SECP256K1_CHECKMEM_MSAN_DEFINE(&p0, sizeof(p0)); + SECP256K1_CHECKMEM_MSAN_DEFINE(&p1, sizeof(p1)); + SECP256K1_CHECKMEM_MSAN_DEFINE(&p2, sizeof(p2)); + SECP256K1_CHECKMEM_MSAN_DEFINE(&p3, sizeof(p3)); + SECP256K1_CHECKMEM_MSAN_DEFINE(&p4, sizeof(p4)); + /* Reduce 258 bits into 256. */ __asm__ __volatile__( /* Preload */ @@ -508,6 +594,10 @@ static void secp256k1_scalar_reduce_512(secp256k1_scalar *r, const uint64_t *l) : "=g"(c) : "g"(p0), "g"(p1), "g"(p2), "g"(p3), "g"(p4), "D"(r), "i"(SECP256K1_N_C_0), "i"(SECP256K1_N_C_1) : "rax", "rdx", "r8", "r9", "r10", "cc", "memory"); + + SECP256K1_CHECKMEM_MSAN_DEFINE(r, sizeof(*r)); + SECP256K1_CHECKMEM_MSAN_DEFINE(&c, sizeof(c)); + #else secp256k1_uint128 c128; uint64_t c, c0, c1, c2; @@ -585,7 +675,7 @@ static void secp256k1_scalar_reduce_512(secp256k1_scalar *r, const uint64_t *l) secp256k1_scalar_reduce(r, c + secp256k1_scalar_check_overflow(r)); } -static void secp256k1_scalar_mul_512(uint64_t l[8], const secp256k1_scalar *a, const secp256k1_scalar *b) { +static void secp256k1_scalar_mul_512(uint64_t *l8, const secp256k1_scalar *a, const secp256k1_scalar *b) { #ifdef USE_ASM_X86_64 const uint64_t *pb = b->d; __asm__ __volatile__( @@ -600,7 +690,7 @@ static void secp256k1_scalar_mul_512(uint64_t l[8], const secp256k1_scalar *a, c /* (rax,rdx) = a0 * b0 */ "movq %%r15, %%rax\n" "mulq %%r11\n" - /* Extract l0 */ + /* Extract l8[0] */ "movq %%rax, 0(%%rsi)\n" /* (r8,r9,r10) = (rdx) */ "movq %%rdx, %%r8\n" @@ -618,7 +708,7 @@ static void secp256k1_scalar_mul_512(uint64_t l[8], const secp256k1_scalar *a, c "addq %%rax, %%r8\n" "adcq %%rdx, %%r9\n" "adcq $0, %%r10\n" - /* Extract l1 */ + /* Extract l8[1] */ "movq %%r8, 8(%%rsi)\n" "xorq %%r8, %%r8\n" /* (r9,r10,r8) += a0 * b2 */ @@ -639,7 +729,7 @@ static void secp256k1_scalar_mul_512(uint64_t l[8], const secp256k1_scalar *a, c "addq %%rax, %%r9\n" "adcq %%rdx, %%r10\n" "adcq $0, %%r8\n" - /* Extract l2 */ + /* Extract l8[2] */ "movq %%r9, 16(%%rsi)\n" "xorq %%r9, %%r9\n" /* (r10,r8,r9) += a0 * b3 */ @@ -668,7 +758,7 @@ static void secp256k1_scalar_mul_512(uint64_t l[8], const secp256k1_scalar *a, c "addq %%rax, %%r10\n" "adcq %%rdx, %%r8\n" "adcq $0, %%r9\n" - /* Extract l3 */ + /* Extract l8[3] */ "movq %%r10, 24(%%rsi)\n" "xorq %%r10, %%r10\n" /* (r8,r9,r10) += a1 * b3 */ @@ -689,7 +779,7 @@ static void secp256k1_scalar_mul_512(uint64_t l[8], const secp256k1_scalar *a, c "addq %%rax, %%r8\n" "adcq %%rdx, %%r9\n" "adcq $0, %%r10\n" - /* Extract l4 */ + /* Extract l8[4] */ "movq %%r8, 32(%%rsi)\n" "xorq %%r8, %%r8\n" /* (r9,r10,r8) += a2 * b3 */ @@ -704,51 +794,54 @@ static void secp256k1_scalar_mul_512(uint64_t l[8], const secp256k1_scalar *a, c "addq %%rax, %%r9\n" "adcq %%rdx, %%r10\n" "adcq $0, %%r8\n" - /* Extract l5 */ + /* Extract l8[5] */ "movq %%r9, 40(%%rsi)\n" /* (r10,r8) += a3 * b3 */ "movq %%r15, %%rax\n" "mulq %%r14\n" "addq %%rax, %%r10\n" "adcq %%rdx, %%r8\n" - /* Extract l6 */ + /* Extract l8[6] */ "movq %%r10, 48(%%rsi)\n" - /* Extract l7 */ + /* Extract l8[7] */ "movq %%r8, 56(%%rsi)\n" : "+d"(pb) - : "S"(l), "D"(a->d) + : "S"(l8), "D"(a->d) : "rax", "rbx", "rcx", "r8", "r9", "r10", "r11", "r12", "r13", "r14", "r15", "cc", "memory"); + + SECP256K1_CHECKMEM_MSAN_DEFINE(l8, sizeof(*l8) * 8); + #else /* 160 bit accumulator. */ uint64_t c0 = 0, c1 = 0; uint32_t c2 = 0; - /* l[0..7] = a[0..3] * b[0..3]. */ + /* l8[0..7] = a[0..3] * b[0..3]. */ muladd_fast(a->d[0], b->d[0]); - extract_fast(l[0]); + extract_fast(l8[0]); muladd(a->d[0], b->d[1]); muladd(a->d[1], b->d[0]); - extract(l[1]); + extract(l8[1]); muladd(a->d[0], b->d[2]); muladd(a->d[1], b->d[1]); muladd(a->d[2], b->d[0]); - extract(l[2]); + extract(l8[2]); muladd(a->d[0], b->d[3]); muladd(a->d[1], b->d[2]); muladd(a->d[2], b->d[1]); muladd(a->d[3], b->d[0]); - extract(l[3]); + extract(l8[3]); muladd(a->d[1], b->d[3]); muladd(a->d[2], b->d[2]); muladd(a->d[3], b->d[1]); - extract(l[4]); + extract(l8[4]); muladd(a->d[2], b->d[3]); muladd(a->d[3], b->d[2]); - extract(l[5]); + extract(l8[5]); muladd_fast(a->d[3], b->d[3]); - extract_fast(l[6]); + extract_fast(l8[6]); VERIFY_CHECK(c1 == 0); - l[7] = c0; + l8[7] = c0; #endif } @@ -761,23 +854,18 @@ static void secp256k1_scalar_mul_512(uint64_t l[8], const secp256k1_scalar *a, c static void secp256k1_scalar_mul(secp256k1_scalar *r, const secp256k1_scalar *a, const secp256k1_scalar *b) { uint64_t l[8]; + SECP256K1_SCALAR_VERIFY(a); + SECP256K1_SCALAR_VERIFY(b); + secp256k1_scalar_mul_512(l, a, b); secp256k1_scalar_reduce_512(r, l); -} -static int secp256k1_scalar_shr_int(secp256k1_scalar *r, int n) { - int ret; - VERIFY_CHECK(n > 0); - VERIFY_CHECK(n < 16); - ret = r->d[0] & ((1 << n) - 1); - r->d[0] = (r->d[0] >> n) + (r->d[1] << (64 - n)); - r->d[1] = (r->d[1] >> n) + (r->d[2] << (64 - n)); - r->d[2] = (r->d[2] >> n) + (r->d[3] << (64 - n)); - r->d[3] = (r->d[3] >> n); - return ret; + SECP256K1_SCALAR_VERIFY(r); } static void secp256k1_scalar_split_128(secp256k1_scalar *r1, secp256k1_scalar *r2, const secp256k1_scalar *k) { + SECP256K1_SCALAR_VERIFY(k); + r1->d[0] = k->d[0]; r1->d[1] = k->d[1]; r1->d[2] = 0; @@ -786,9 +874,15 @@ static void secp256k1_scalar_split_128(secp256k1_scalar *r1, secp256k1_scalar *r r2->d[1] = k->d[3]; r2->d[2] = 0; r2->d[3] = 0; + + SECP256K1_SCALAR_VERIFY(r1); + SECP256K1_SCALAR_VERIFY(r2); } SECP256K1_INLINE static int secp256k1_scalar_eq(const secp256k1_scalar *a, const secp256k1_scalar *b) { + SECP256K1_SCALAR_VERIFY(a); + SECP256K1_SCALAR_VERIFY(b); + return ((a->d[0] ^ b->d[0]) | (a->d[1] ^ b->d[1]) | (a->d[2] ^ b->d[2]) | (a->d[3] ^ b->d[3])) == 0; } @@ -797,7 +891,10 @@ SECP256K1_INLINE static void secp256k1_scalar_mul_shift_var(secp256k1_scalar *r, unsigned int shiftlimbs; unsigned int shiftlow; unsigned int shifthigh; + SECP256K1_SCALAR_VERIFY(a); + SECP256K1_SCALAR_VERIFY(b); VERIFY_CHECK(shift >= 256); + secp256k1_scalar_mul_512(l, a, b); shiftlimbs = shift >> 6; shiftlow = shift & 0x3F; @@ -807,17 +904,24 @@ SECP256K1_INLINE static void secp256k1_scalar_mul_shift_var(secp256k1_scalar *r, r->d[2] = shift < 384 ? (l[2 + shiftlimbs] >> shiftlow | (shift < 320 && shiftlow ? (l[3 + shiftlimbs] << shifthigh) : 0)) : 0; r->d[3] = shift < 320 ? (l[3 + shiftlimbs] >> shiftlow) : 0; secp256k1_scalar_cadd_bit(r, 0, (l[(shift - 1) >> 6] >> ((shift - 1) & 0x3f)) & 1); + + SECP256K1_SCALAR_VERIFY(r); } static SECP256K1_INLINE void secp256k1_scalar_cmov(secp256k1_scalar *r, const secp256k1_scalar *a, int flag) { uint64_t mask0, mask1; + volatile int vflag = flag; + SECP256K1_SCALAR_VERIFY(a); SECP256K1_CHECKMEM_CHECK_VERIFY(r->d, sizeof(r->d)); - mask0 = flag + ~((uint64_t)0); + + mask0 = vflag + ~((uint64_t)0); mask1 = ~mask0; r->d[0] = (r->d[0] & mask0) | (a->d[0] & mask1); r->d[1] = (r->d[1] & mask0) | (a->d[1] & mask1); r->d[2] = (r->d[2] & mask0) | (a->d[2] & mask1); r->d[3] = (r->d[3] & mask0) | (a->d[3] & mask1); + + SECP256K1_SCALAR_VERIFY(r); } static void secp256k1_scalar_from_signed62(secp256k1_scalar *r, const secp256k1_modinv64_signed62 *a) { @@ -837,18 +941,13 @@ static void secp256k1_scalar_from_signed62(secp256k1_scalar *r, const secp256k1_ r->d[2] = a2 >> 4 | a3 << 58; r->d[3] = a3 >> 6 | a4 << 56; -#ifdef VERIFY - VERIFY_CHECK(secp256k1_scalar_check_overflow(r) == 0); -#endif + SECP256K1_SCALAR_VERIFY(r); } static void secp256k1_scalar_to_signed62(secp256k1_modinv64_signed62 *r, const secp256k1_scalar *a) { const uint64_t M62 = UINT64_MAX >> 2; const uint64_t a0 = a->d[0], a1 = a->d[1], a2 = a->d[2], a3 = a->d[3]; - -#ifdef VERIFY - VERIFY_CHECK(secp256k1_scalar_check_overflow(a) == 0); -#endif + SECP256K1_SCALAR_VERIFY(a); r->v[0] = a0 & M62; r->v[1] = (a0 >> 62 | a1 << 2) & M62; @@ -867,13 +966,14 @@ static void secp256k1_scalar_inverse(secp256k1_scalar *r, const secp256k1_scalar #ifdef VERIFY int zero_in = secp256k1_scalar_is_zero(x); #endif + SECP256K1_SCALAR_VERIFY(x); + secp256k1_scalar_to_signed62(&s, x); secp256k1_modinv64(&s, &secp256k1_const_modinfo_scalar); secp256k1_scalar_from_signed62(r, &s); -#ifdef VERIFY + SECP256K1_SCALAR_VERIFY(r); VERIFY_CHECK(secp256k1_scalar_is_zero(r) == zero_in); -#endif } static void secp256k1_scalar_inverse_var(secp256k1_scalar *r, const secp256k1_scalar *x) { @@ -881,16 +981,19 @@ static void secp256k1_scalar_inverse_var(secp256k1_scalar *r, const secp256k1_sc #ifdef VERIFY int zero_in = secp256k1_scalar_is_zero(x); #endif + SECP256K1_SCALAR_VERIFY(x); + secp256k1_scalar_to_signed62(&s, x); secp256k1_modinv64_var(&s, &secp256k1_const_modinfo_scalar); secp256k1_scalar_from_signed62(r, &s); -#ifdef VERIFY + SECP256K1_SCALAR_VERIFY(r); VERIFY_CHECK(secp256k1_scalar_is_zero(r) == zero_in); -#endif } SECP256K1_INLINE static int secp256k1_scalar_is_even(const secp256k1_scalar *a) { + SECP256K1_SCALAR_VERIFY(a); + return !(a->d[0] & 1); } diff --git a/src/scalar_8x32_impl.h b/src/scalar_8x32_impl.h index c433adce75..2610496052 100644 --- a/src/scalar_8x32_impl.h +++ b/src/scalar_8x32_impl.h @@ -9,6 +9,7 @@ #include "checkmem.h" #include "modinv32_impl.h" +#include "util.h" /* Limbs of the secp256k1 order. */ #define SECP256K1_N_0 ((uint32_t)0xD0364141UL) @@ -37,17 +38,6 @@ #define SECP256K1_N_H_6 ((uint32_t)0xFFFFFFFFUL) #define SECP256K1_N_H_7 ((uint32_t)0x7FFFFFFFUL) -SECP256K1_INLINE static void secp256k1_scalar_clear(secp256k1_scalar *r) { - r->d[0] = 0; - r->d[1] = 0; - r->d[2] = 0; - r->d[3] = 0; - r->d[4] = 0; - r->d[5] = 0; - r->d[6] = 0; - r->d[7] = 0; -} - SECP256K1_INLINE static void secp256k1_scalar_set_int(secp256k1_scalar *r, unsigned int v) { r->d[0] = v; r->d[1] = 0; @@ -57,21 +47,28 @@ SECP256K1_INLINE static void secp256k1_scalar_set_int(secp256k1_scalar *r, unsig r->d[5] = 0; r->d[6] = 0; r->d[7] = 0; + + SECP256K1_SCALAR_VERIFY(r); } -SECP256K1_INLINE static unsigned int secp256k1_scalar_get_bits(const secp256k1_scalar *a, unsigned int offset, unsigned int count) { +SECP256K1_INLINE static uint32_t secp256k1_scalar_get_bits_limb32(const secp256k1_scalar *a, unsigned int offset, unsigned int count) { + SECP256K1_SCALAR_VERIFY(a); + VERIFY_CHECK(count > 0 && count <= 32); VERIFY_CHECK((offset + count - 1) >> 5 == offset >> 5); - return (a->d[offset >> 5] >> (offset & 0x1F)) & ((1 << count) - 1); + + return (a->d[offset >> 5] >> (offset & 0x1F)) & (0xFFFFFFFF >> (32 - count)); } -SECP256K1_INLINE static unsigned int secp256k1_scalar_get_bits_var(const secp256k1_scalar *a, unsigned int offset, unsigned int count) { - VERIFY_CHECK(count < 32); +SECP256K1_INLINE static uint32_t secp256k1_scalar_get_bits_var(const secp256k1_scalar *a, unsigned int offset, unsigned int count) { + SECP256K1_SCALAR_VERIFY(a); + VERIFY_CHECK(count > 0 && count <= 32); VERIFY_CHECK(offset + count <= 256); + if ((offset + count - 1) >> 5 == offset >> 5) { - return secp256k1_scalar_get_bits(a, offset, count); + return secp256k1_scalar_get_bits_limb32(a, offset, count); } else { VERIFY_CHECK((offset >> 5) + 1 < 8); - return ((a->d[offset >> 5] >> (offset & 0x1F)) | (a->d[(offset >> 5) + 1] << (32 - (offset & 0x1F)))) & ((((uint32_t)1) << count) - 1); + return ((a->d[offset >> 5] >> (offset & 0x1F)) | (a->d[(offset >> 5) + 1] << (32 - (offset & 0x1F)))) & (0xFFFFFFFF >> (32 - count)); } } @@ -96,6 +93,7 @@ SECP256K1_INLINE static int secp256k1_scalar_check_overflow(const secp256k1_scal SECP256K1_INLINE static int secp256k1_scalar_reduce(secp256k1_scalar *r, uint32_t overflow) { uint64_t t; VERIFY_CHECK(overflow <= 1); + t = (uint64_t)r->d[0] + overflow * SECP256K1_N_C_0; r->d[0] = t & 0xFFFFFFFFUL; t >>= 32; t += (uint64_t)r->d[1] + overflow * SECP256K1_N_C_1; @@ -112,12 +110,17 @@ SECP256K1_INLINE static int secp256k1_scalar_reduce(secp256k1_scalar *r, uint32_ r->d[6] = t & 0xFFFFFFFFUL; t >>= 32; t += (uint64_t)r->d[7]; r->d[7] = t & 0xFFFFFFFFUL; + + SECP256K1_SCALAR_VERIFY(r); return overflow; } static int secp256k1_scalar_add(secp256k1_scalar *r, const secp256k1_scalar *a, const secp256k1_scalar *b) { int overflow; uint64_t t = (uint64_t)a->d[0] + b->d[0]; + SECP256K1_SCALAR_VERIFY(a); + SECP256K1_SCALAR_VERIFY(b); + r->d[0] = t & 0xFFFFFFFFULL; t >>= 32; t += (uint64_t)a->d[1] + b->d[1]; r->d[1] = t & 0xFFFFFFFFULL; t >>= 32; @@ -136,13 +139,18 @@ static int secp256k1_scalar_add(secp256k1_scalar *r, const secp256k1_scalar *a, overflow = t + secp256k1_scalar_check_overflow(r); VERIFY_CHECK(overflow == 0 || overflow == 1); secp256k1_scalar_reduce(r, overflow); + + SECP256K1_SCALAR_VERIFY(r); return overflow; } static void secp256k1_scalar_cadd_bit(secp256k1_scalar *r, unsigned int bit, int flag) { uint64_t t; + volatile int vflag = flag; + SECP256K1_SCALAR_VERIFY(r); VERIFY_CHECK(bit < 256); - bit += ((uint32_t) flag - 1) & 0x100; /* forcing (bit >> 5) > 7 makes this a noop */ + + bit += ((uint32_t) vflag - 1) & 0x100; /* forcing (bit >> 5) > 7 makes this a noop */ t = (uint64_t)r->d[0] + (((uint32_t)((bit >> 5) == 0)) << (bit & 0x1F)); r->d[0] = t & 0xFFFFFFFFULL; t >>= 32; t += (uint64_t)r->d[1] + (((uint32_t)((bit >> 5) == 1)) << (bit & 0x1F)); @@ -159,46 +167,53 @@ static void secp256k1_scalar_cadd_bit(secp256k1_scalar *r, unsigned int bit, int r->d[6] = t & 0xFFFFFFFFULL; t >>= 32; t += (uint64_t)r->d[7] + (((uint32_t)((bit >> 5) == 7)) << (bit & 0x1F)); r->d[7] = t & 0xFFFFFFFFULL; -#ifdef VERIFY + + SECP256K1_SCALAR_VERIFY(r); VERIFY_CHECK((t >> 32) == 0); - VERIFY_CHECK(secp256k1_scalar_check_overflow(r) == 0); -#endif } static void secp256k1_scalar_set_b32(secp256k1_scalar *r, const unsigned char *b32, int *overflow) { int over; - r->d[0] = (uint32_t)b32[31] | (uint32_t)b32[30] << 8 | (uint32_t)b32[29] << 16 | (uint32_t)b32[28] << 24; - r->d[1] = (uint32_t)b32[27] | (uint32_t)b32[26] << 8 | (uint32_t)b32[25] << 16 | (uint32_t)b32[24] << 24; - r->d[2] = (uint32_t)b32[23] | (uint32_t)b32[22] << 8 | (uint32_t)b32[21] << 16 | (uint32_t)b32[20] << 24; - r->d[3] = (uint32_t)b32[19] | (uint32_t)b32[18] << 8 | (uint32_t)b32[17] << 16 | (uint32_t)b32[16] << 24; - r->d[4] = (uint32_t)b32[15] | (uint32_t)b32[14] << 8 | (uint32_t)b32[13] << 16 | (uint32_t)b32[12] << 24; - r->d[5] = (uint32_t)b32[11] | (uint32_t)b32[10] << 8 | (uint32_t)b32[9] << 16 | (uint32_t)b32[8] << 24; - r->d[6] = (uint32_t)b32[7] | (uint32_t)b32[6] << 8 | (uint32_t)b32[5] << 16 | (uint32_t)b32[4] << 24; - r->d[7] = (uint32_t)b32[3] | (uint32_t)b32[2] << 8 | (uint32_t)b32[1] << 16 | (uint32_t)b32[0] << 24; + r->d[0] = secp256k1_read_be32(&b32[28]); + r->d[1] = secp256k1_read_be32(&b32[24]); + r->d[2] = secp256k1_read_be32(&b32[20]); + r->d[3] = secp256k1_read_be32(&b32[16]); + r->d[4] = secp256k1_read_be32(&b32[12]); + r->d[5] = secp256k1_read_be32(&b32[8]); + r->d[6] = secp256k1_read_be32(&b32[4]); + r->d[7] = secp256k1_read_be32(&b32[0]); over = secp256k1_scalar_reduce(r, secp256k1_scalar_check_overflow(r)); if (overflow) { *overflow = over; } + + SECP256K1_SCALAR_VERIFY(r); } static void secp256k1_scalar_get_b32(unsigned char *bin, const secp256k1_scalar* a) { - bin[0] = a->d[7] >> 24; bin[1] = a->d[7] >> 16; bin[2] = a->d[7] >> 8; bin[3] = a->d[7]; - bin[4] = a->d[6] >> 24; bin[5] = a->d[6] >> 16; bin[6] = a->d[6] >> 8; bin[7] = a->d[6]; - bin[8] = a->d[5] >> 24; bin[9] = a->d[5] >> 16; bin[10] = a->d[5] >> 8; bin[11] = a->d[5]; - bin[12] = a->d[4] >> 24; bin[13] = a->d[4] >> 16; bin[14] = a->d[4] >> 8; bin[15] = a->d[4]; - bin[16] = a->d[3] >> 24; bin[17] = a->d[3] >> 16; bin[18] = a->d[3] >> 8; bin[19] = a->d[3]; - bin[20] = a->d[2] >> 24; bin[21] = a->d[2] >> 16; bin[22] = a->d[2] >> 8; bin[23] = a->d[2]; - bin[24] = a->d[1] >> 24; bin[25] = a->d[1] >> 16; bin[26] = a->d[1] >> 8; bin[27] = a->d[1]; - bin[28] = a->d[0] >> 24; bin[29] = a->d[0] >> 16; bin[30] = a->d[0] >> 8; bin[31] = a->d[0]; + SECP256K1_SCALAR_VERIFY(a); + + secp256k1_write_be32(&bin[0], a->d[7]); + secp256k1_write_be32(&bin[4], a->d[6]); + secp256k1_write_be32(&bin[8], a->d[5]); + secp256k1_write_be32(&bin[12], a->d[4]); + secp256k1_write_be32(&bin[16], a->d[3]); + secp256k1_write_be32(&bin[20], a->d[2]); + secp256k1_write_be32(&bin[24], a->d[1]); + secp256k1_write_be32(&bin[28], a->d[0]); } SECP256K1_INLINE static int secp256k1_scalar_is_zero(const secp256k1_scalar *a) { + SECP256K1_SCALAR_VERIFY(a); + return (a->d[0] | a->d[1] | a->d[2] | a->d[3] | a->d[4] | a->d[5] | a->d[6] | a->d[7]) == 0; } static void secp256k1_scalar_negate(secp256k1_scalar *r, const secp256k1_scalar *a) { uint32_t nonzero = 0xFFFFFFFFUL * (secp256k1_scalar_is_zero(a) == 0); uint64_t t = (uint64_t)(~a->d[0]) + SECP256K1_N_0 + 1; + SECP256K1_SCALAR_VERIFY(a); + r->d[0] = t & nonzero; t >>= 32; t += (uint64_t)(~a->d[1]) + SECP256K1_N_1; r->d[1] = t & nonzero; t >>= 32; @@ -214,15 +229,69 @@ static void secp256k1_scalar_negate(secp256k1_scalar *r, const secp256k1_scalar r->d[6] = t & nonzero; t >>= 32; t += (uint64_t)(~a->d[7]) + SECP256K1_N_7; r->d[7] = t & nonzero; + + SECP256K1_SCALAR_VERIFY(r); +} + +static void secp256k1_scalar_half(secp256k1_scalar *r, const secp256k1_scalar *a) { + /* Writing `/` for field division and `//` for integer division, we compute + * + * a/2 = (a - (a&1))/2 + (a&1)/2 + * = (a >> 1) + (a&1 ? 1/2 : 0) + * = (a >> 1) + (a&1 ? n//2+1 : 0), + * + * where n is the group order and in the last equality we have used 1/2 = n//2+1 (mod n). + * For n//2, we have the constants SECP256K1_N_H_0, ... + * + * This sum does not overflow. The most extreme case is a = -2, the largest odd scalar. Here: + * - the left summand is: a >> 1 = (a - a&1)/2 = (n-2-1)//2 = (n-3)//2 + * - the right summand is: a&1 ? n//2+1 : 0 = n//2+1 = (n-1)//2 + 2//2 = (n+1)//2 + * Together they sum to (n-3)//2 + (n+1)//2 = (2n-2)//2 = n - 1, which is less than n. + */ + uint32_t mask = -(uint32_t)(a->d[0] & 1U); + uint64_t t = (uint32_t)((a->d[0] >> 1) | (a->d[1] << 31)); + SECP256K1_SCALAR_VERIFY(a); + + t += (SECP256K1_N_H_0 + 1U) & mask; + r->d[0] = t; t >>= 32; + t += (uint32_t)((a->d[1] >> 1) | (a->d[2] << 31)); + t += SECP256K1_N_H_1 & mask; + r->d[1] = t; t >>= 32; + t += (uint32_t)((a->d[2] >> 1) | (a->d[3] << 31)); + t += SECP256K1_N_H_2 & mask; + r->d[2] = t; t >>= 32; + t += (uint32_t)((a->d[3] >> 1) | (a->d[4] << 31)); + t += SECP256K1_N_H_3 & mask; + r->d[3] = t; t >>= 32; + t += (uint32_t)((a->d[4] >> 1) | (a->d[5] << 31)); + t += SECP256K1_N_H_4 & mask; + r->d[4] = t; t >>= 32; + t += (uint32_t)((a->d[5] >> 1) | (a->d[6] << 31)); + t += SECP256K1_N_H_5 & mask; + r->d[5] = t; t >>= 32; + t += (uint32_t)((a->d[6] >> 1) | (a->d[7] << 31)); + t += SECP256K1_N_H_6 & mask; + r->d[6] = t; t >>= 32; + r->d[7] = (uint32_t)t + (uint32_t)(a->d[7] >> 1) + (SECP256K1_N_H_7 & mask); + + /* The line above only computed the bottom 32 bits of r->d[7]. Redo the computation + * in full 64 bits to make sure the top 32 bits are indeed zero. */ + VERIFY_CHECK((t + (a->d[7] >> 1) + (SECP256K1_N_H_7 & mask)) >> 32 == 0); + + SECP256K1_SCALAR_VERIFY(r); } SECP256K1_INLINE static int secp256k1_scalar_is_one(const secp256k1_scalar *a) { + SECP256K1_SCALAR_VERIFY(a); + return ((a->d[0] ^ 1) | a->d[1] | a->d[2] | a->d[3] | a->d[4] | a->d[5] | a->d[6] | a->d[7]) == 0; } static int secp256k1_scalar_is_high(const secp256k1_scalar *a) { int yes = 0; int no = 0; + SECP256K1_SCALAR_VERIFY(a); + no |= (a->d[7] < SECP256K1_N_H_7); yes |= (a->d[7] > SECP256K1_N_H_7) & ~no; no |= (a->d[6] < SECP256K1_N_H_6) & ~yes; /* No need for a > check. */ @@ -241,9 +310,12 @@ static int secp256k1_scalar_is_high(const secp256k1_scalar *a) { static int secp256k1_scalar_cond_negate(secp256k1_scalar *r, int flag) { /* If we are flag = 0, mask = 00...00 and this is a no-op; * if we are flag = 1, mask = 11...11 and this is identical to secp256k1_scalar_negate */ - uint32_t mask = !flag - 1; + volatile int vflag = flag; + uint32_t mask = -vflag; uint32_t nonzero = 0xFFFFFFFFUL * (secp256k1_scalar_is_zero(r) == 0); uint64_t t = (uint64_t)(r->d[0] ^ mask) + ((SECP256K1_N_0 + 1) & mask); + SECP256K1_SCALAR_VERIFY(r); + r->d[0] = t & nonzero; t >>= 32; t += (uint64_t)(r->d[1] ^ mask) + (SECP256K1_N_1 & mask); r->d[1] = t & nonzero; t >>= 32; @@ -259,6 +331,8 @@ static int secp256k1_scalar_cond_negate(secp256k1_scalar *r, int flag) { r->d[6] = t & nonzero; t >>= 32; t += (uint64_t)(r->d[7] ^ mask) + (SECP256K1_N_7 & mask); r->d[7] = t & nonzero; + + SECP256K1_SCALAR_VERIFY(r); return 2 * (mask == 0) - 1; } @@ -566,27 +640,18 @@ static void secp256k1_scalar_mul_512(uint32_t *l, const secp256k1_scalar *a, con static void secp256k1_scalar_mul(secp256k1_scalar *r, const secp256k1_scalar *a, const secp256k1_scalar *b) { uint32_t l[16]; + SECP256K1_SCALAR_VERIFY(a); + SECP256K1_SCALAR_VERIFY(b); + secp256k1_scalar_mul_512(l, a, b); secp256k1_scalar_reduce_512(r, l); -} -static int secp256k1_scalar_shr_int(secp256k1_scalar *r, int n) { - int ret; - VERIFY_CHECK(n > 0); - VERIFY_CHECK(n < 16); - ret = r->d[0] & ((1 << n) - 1); - r->d[0] = (r->d[0] >> n) + (r->d[1] << (32 - n)); - r->d[1] = (r->d[1] >> n) + (r->d[2] << (32 - n)); - r->d[2] = (r->d[2] >> n) + (r->d[3] << (32 - n)); - r->d[3] = (r->d[3] >> n) + (r->d[4] << (32 - n)); - r->d[4] = (r->d[4] >> n) + (r->d[5] << (32 - n)); - r->d[5] = (r->d[5] >> n) + (r->d[6] << (32 - n)); - r->d[6] = (r->d[6] >> n) + (r->d[7] << (32 - n)); - r->d[7] = (r->d[7] >> n); - return ret; + SECP256K1_SCALAR_VERIFY(r); } static void secp256k1_scalar_split_128(secp256k1_scalar *r1, secp256k1_scalar *r2, const secp256k1_scalar *k) { + SECP256K1_SCALAR_VERIFY(k); + r1->d[0] = k->d[0]; r1->d[1] = k->d[1]; r1->d[2] = k->d[2]; @@ -603,9 +668,15 @@ static void secp256k1_scalar_split_128(secp256k1_scalar *r1, secp256k1_scalar *r r2->d[5] = 0; r2->d[6] = 0; r2->d[7] = 0; + + SECP256K1_SCALAR_VERIFY(r1); + SECP256K1_SCALAR_VERIFY(r2); } SECP256K1_INLINE static int secp256k1_scalar_eq(const secp256k1_scalar *a, const secp256k1_scalar *b) { + SECP256K1_SCALAR_VERIFY(a); + SECP256K1_SCALAR_VERIFY(b); + return ((a->d[0] ^ b->d[0]) | (a->d[1] ^ b->d[1]) | (a->d[2] ^ b->d[2]) | (a->d[3] ^ b->d[3]) | (a->d[4] ^ b->d[4]) | (a->d[5] ^ b->d[5]) | (a->d[6] ^ b->d[6]) | (a->d[7] ^ b->d[7])) == 0; } @@ -614,7 +685,10 @@ SECP256K1_INLINE static void secp256k1_scalar_mul_shift_var(secp256k1_scalar *r, unsigned int shiftlimbs; unsigned int shiftlow; unsigned int shifthigh; + SECP256K1_SCALAR_VERIFY(a); + SECP256K1_SCALAR_VERIFY(b); VERIFY_CHECK(shift >= 256); + secp256k1_scalar_mul_512(l, a, b); shiftlimbs = shift >> 5; shiftlow = shift & 0x1F; @@ -628,12 +702,17 @@ SECP256K1_INLINE static void secp256k1_scalar_mul_shift_var(secp256k1_scalar *r, r->d[6] = shift < 320 ? (l[6 + shiftlimbs] >> shiftlow | (shift < 288 && shiftlow ? (l[7 + shiftlimbs] << shifthigh) : 0)) : 0; r->d[7] = shift < 288 ? (l[7 + shiftlimbs] >> shiftlow) : 0; secp256k1_scalar_cadd_bit(r, 0, (l[(shift - 1) >> 5] >> ((shift - 1) & 0x1f)) & 1); + + SECP256K1_SCALAR_VERIFY(r); } static SECP256K1_INLINE void secp256k1_scalar_cmov(secp256k1_scalar *r, const secp256k1_scalar *a, int flag) { uint32_t mask0, mask1; + volatile int vflag = flag; + SECP256K1_SCALAR_VERIFY(a); SECP256K1_CHECKMEM_CHECK_VERIFY(r->d, sizeof(r->d)); - mask0 = flag + ~((uint32_t)0); + + mask0 = vflag + ~((uint32_t)0); mask1 = ~mask0; r->d[0] = (r->d[0] & mask0) | (a->d[0] & mask1); r->d[1] = (r->d[1] & mask0) | (a->d[1] & mask1); @@ -643,6 +722,8 @@ static SECP256K1_INLINE void secp256k1_scalar_cmov(secp256k1_scalar *r, const se r->d[5] = (r->d[5] & mask0) | (a->d[5] & mask1); r->d[6] = (r->d[6] & mask0) | (a->d[6] & mask1); r->d[7] = (r->d[7] & mask0) | (a->d[7] & mask1); + + SECP256K1_SCALAR_VERIFY(r); } static void secp256k1_scalar_from_signed30(secp256k1_scalar *r, const secp256k1_modinv32_signed30 *a) { @@ -671,19 +752,14 @@ static void secp256k1_scalar_from_signed30(secp256k1_scalar *r, const secp256k1_ r->d[6] = a6 >> 12 | a7 << 18; r->d[7] = a7 >> 14 | a8 << 16; -#ifdef VERIFY - VERIFY_CHECK(secp256k1_scalar_check_overflow(r) == 0); -#endif + SECP256K1_SCALAR_VERIFY(r); } static void secp256k1_scalar_to_signed30(secp256k1_modinv32_signed30 *r, const secp256k1_scalar *a) { const uint32_t M30 = UINT32_MAX >> 2; const uint32_t a0 = a->d[0], a1 = a->d[1], a2 = a->d[2], a3 = a->d[3], a4 = a->d[4], a5 = a->d[5], a6 = a->d[6], a7 = a->d[7]; - -#ifdef VERIFY - VERIFY_CHECK(secp256k1_scalar_check_overflow(a) == 0); -#endif + SECP256K1_SCALAR_VERIFY(a); r->v[0] = a0 & M30; r->v[1] = (a0 >> 30 | a1 << 2) & M30; @@ -706,13 +782,14 @@ static void secp256k1_scalar_inverse(secp256k1_scalar *r, const secp256k1_scalar #ifdef VERIFY int zero_in = secp256k1_scalar_is_zero(x); #endif + SECP256K1_SCALAR_VERIFY(x); + secp256k1_scalar_to_signed30(&s, x); secp256k1_modinv32(&s, &secp256k1_const_modinfo_scalar); secp256k1_scalar_from_signed30(r, &s); -#ifdef VERIFY + SECP256K1_SCALAR_VERIFY(r); VERIFY_CHECK(secp256k1_scalar_is_zero(r) == zero_in); -#endif } static void secp256k1_scalar_inverse_var(secp256k1_scalar *r, const secp256k1_scalar *x) { @@ -720,16 +797,19 @@ static void secp256k1_scalar_inverse_var(secp256k1_scalar *r, const secp256k1_sc #ifdef VERIFY int zero_in = secp256k1_scalar_is_zero(x); #endif + SECP256K1_SCALAR_VERIFY(x); + secp256k1_scalar_to_signed30(&s, x); secp256k1_modinv32_var(&s, &secp256k1_const_modinfo_scalar); secp256k1_scalar_from_signed30(r, &s); -#ifdef VERIFY + SECP256K1_SCALAR_VERIFY(r); VERIFY_CHECK(secp256k1_scalar_is_zero(r) == zero_in); -#endif } SECP256K1_INLINE static int secp256k1_scalar_is_even(const secp256k1_scalar *a) { + SECP256K1_SCALAR_VERIFY(a); + return !(a->d[0] & 1); } diff --git a/src/scalar_impl.h b/src/scalar_impl.h index bed7f95fcb..9965c2bab9 100644 --- a/src/scalar_impl.h +++ b/src/scalar_impl.h @@ -27,12 +27,24 @@ static const secp256k1_scalar secp256k1_scalar_one = SECP256K1_SCALAR_CONST(0, 0, 0, 0, 0, 0, 0, 1); static const secp256k1_scalar secp256k1_scalar_zero = SECP256K1_SCALAR_CONST(0, 0, 0, 0, 0, 0, 0, 0); +SECP256K1_INLINE static void secp256k1_scalar_clear(secp256k1_scalar *r) { + secp256k1_memclear_explicit(r, sizeof(secp256k1_scalar)); +} + static int secp256k1_scalar_set_b32_seckey(secp256k1_scalar *r, const unsigned char *bin) { int overflow; secp256k1_scalar_set_b32(r, bin, &overflow); + + SECP256K1_SCALAR_VERIFY(r); return (!overflow) & (!secp256k1_scalar_is_zero(r)); } +static void secp256k1_scalar_verify(const secp256k1_scalar *r) { + VERIFY_CHECK(secp256k1_scalar_check_overflow(r) == 0); + + (void)r; +} + #if defined(EXHAUSTIVE_TEST_ORDER) /* Begin of section generated by sage/gen_exhaustive_groups.sage. */ # if EXHAUSTIVE_TEST_ORDER == 7 @@ -53,11 +65,16 @@ static int secp256k1_scalar_set_b32_seckey(secp256k1_scalar *r, const unsigned c * (arbitrarily) set r2 = k + 5 (mod n) and r1 = k - r2 * lambda (mod n). */ static void secp256k1_scalar_split_lambda(secp256k1_scalar * SECP256K1_RESTRICT r1, secp256k1_scalar * SECP256K1_RESTRICT r2, const secp256k1_scalar * SECP256K1_RESTRICT k) { + SECP256K1_SCALAR_VERIFY(k); VERIFY_CHECK(r1 != k); VERIFY_CHECK(r2 != k); VERIFY_CHECK(r1 != r2); + *r2 = (*k + 5) % EXHAUSTIVE_TEST_ORDER; *r1 = (*k + (EXHAUSTIVE_TEST_ORDER - *r2) * EXHAUSTIVE_TEST_LAMBDA) % EXHAUSTIVE_TEST_ORDER; + + SECP256K1_SCALAR_VERIFY(r1); + SECP256K1_SCALAR_VERIFY(r2); } #else /** @@ -73,11 +90,11 @@ static void secp256k1_scalar_split_lambda_verify(const secp256k1_scalar *r1, con #endif /* - * Both lambda and beta are primitive cube roots of unity. That is lamba^3 == 1 mod n and + * Both lambda and beta are primitive cube roots of unity. That is lambda^3 == 1 mod n and * beta^3 == 1 mod p, where n is the curve order and p is the field order. * * Furthermore, because (X^3 - 1) = (X - 1)(X^2 + X + 1), the primitive cube roots of unity are - * roots of X^2 + X + 1. Therefore lambda^2 + lamba == -1 mod n and beta^2 + beta == -1 mod p. + * roots of X^2 + X + 1. Therefore lambda^2 + lambda == -1 mod n and beta^2 + beta == -1 mod p. * (The other primitive cube roots of unity are lambda^2 and beta^2 respectively.) * * Let l = -1/2 + i*sqrt(3)/2, the complex root of X^2 + X + 1. We can define a ring @@ -140,9 +157,11 @@ static void secp256k1_scalar_split_lambda(secp256k1_scalar * SECP256K1_RESTRICT 0xE4437ED6UL, 0x010E8828UL, 0x6F547FA9UL, 0x0ABFE4C4UL, 0x221208ACUL, 0x9DF506C6UL, 0x1571B4AEUL, 0x8AC47F71UL ); + SECP256K1_SCALAR_VERIFY(k); VERIFY_CHECK(r1 != k); VERIFY_CHECK(r2 != k); VERIFY_CHECK(r1 != r2); + /* these _var calls are constant time since the shift amount is constant */ secp256k1_scalar_mul_shift_var(&c1, k, &g1, 384); secp256k1_scalar_mul_shift_var(&c2, k, &g2, 384); @@ -153,6 +172,8 @@ static void secp256k1_scalar_split_lambda(secp256k1_scalar * SECP256K1_RESTRICT secp256k1_scalar_negate(r1, r1); secp256k1_scalar_add(r1, r1, k); + SECP256K1_SCALAR_VERIFY(r1); + SECP256K1_SCALAR_VERIFY(r2); #ifdef VERIFY secp256k1_scalar_split_lambda_verify(r1, r2, k); #endif @@ -212,7 +233,7 @@ static void secp256k1_scalar_split_lambda(secp256k1_scalar * SECP256K1_RESTRICT * <= {triangle inequality} * a1*|k*b2/n - c1| + a2*|k*(-b1)/n - c2| * < {Lemma 1 and Lemma 2} - * a1*(2^-1 + epslion1) + a2*(2^-1 + epsilon2) + * a1*(2^-1 + epsilon1) + a2*(2^-1 + epsilon2) * < {rounding up to an integer} * (a1 + a2 + 1)/2 * < {rounding up to a power of 2} @@ -230,7 +251,7 @@ static void secp256k1_scalar_split_lambda(secp256k1_scalar * SECP256K1_RESTRICT * <= {triangle inequality} * (-b1)*|k*b2/n - c1| + b2*|k*(-b1)/n - c2| * < {Lemma 1 and Lemma 2} - * (-b1)*(2^-1 + epslion1) + b2*(2^-1 + epsilon2) + * (-b1)*(2^-1 + epsilon1) + b2*(2^-1 + epsilon2) * < {rounding up to an integer} * (-b1 + b2)/2 + 1 * < {rounding up to a power of 2} diff --git a/src/scalar_low.h b/src/scalar_low.h index 67051bd30b..2711eb932d 100644 --- a/src/scalar_low.h +++ b/src/scalar_low.h @@ -1,5 +1,5 @@ /*********************************************************************** - * Copyright (c) 2015 Andrew Poelstra * + * Copyright (c) 2015, 2022 Andrew Poelstra, Pieter Wuille * * Distributed under the MIT software license, see the accompanying * * file COPYING or https://www.opensource.org/licenses/mit-license.php.* ***********************************************************************/ @@ -12,6 +12,13 @@ /** A scalar modulo the group order of the secp256k1 curve. */ typedef uint32_t secp256k1_scalar; -#define SECP256K1_SCALAR_CONST(d7, d6, d5, d4, d3, d2, d1, d0) (d0) +/* A compile-time constant equal to 2^32 (modulo order). */ +#define SCALAR_2P32 ((0xffffffffUL % EXHAUSTIVE_TEST_ORDER) + 1U) + +/* Compute a*2^32 + b (modulo order). */ +#define SCALAR_HORNER(a, b) (((uint64_t)(a) * SCALAR_2P32 + (b)) % EXHAUSTIVE_TEST_ORDER) + +/* Evaluates to the provided 256-bit constant reduced modulo order. */ +#define SECP256K1_SCALAR_CONST(d7, d6, d5, d4, d3, d2, d1, d0) SCALAR_HORNER(SCALAR_HORNER(SCALAR_HORNER(SCALAR_HORNER(SCALAR_HORNER(SCALAR_HORNER(SCALAR_HORNER((d7), (d6)), (d5)), (d4)), (d3)), (d2)), (d1)), (d0)) #endif /* SECP256K1_SCALAR_REPR_H */ diff --git a/src/scalar_low_impl.h b/src/scalar_low_impl.h index e780083339..84e1a380a3 100644 --- a/src/scalar_low_impl.h +++ b/src/scalar_low_impl.h @@ -9,43 +9,61 @@ #include "checkmem.h" #include "scalar.h" +#include "util.h" #include SECP256K1_INLINE static int secp256k1_scalar_is_even(const secp256k1_scalar *a) { + SECP256K1_SCALAR_VERIFY(a); + return !(*a & 1); } -SECP256K1_INLINE static void secp256k1_scalar_clear(secp256k1_scalar *r) { *r = 0; } -SECP256K1_INLINE static void secp256k1_scalar_set_int(secp256k1_scalar *r, unsigned int v) { *r = v; } +SECP256K1_INLINE static void secp256k1_scalar_set_int(secp256k1_scalar *r, unsigned int v) { + *r = v % EXHAUSTIVE_TEST_ORDER; + + SECP256K1_SCALAR_VERIFY(r); +} -SECP256K1_INLINE static unsigned int secp256k1_scalar_get_bits(const secp256k1_scalar *a, unsigned int offset, unsigned int count) { - if (offset < 32) - return ((*a >> offset) & ((((uint32_t)1) << count) - 1)); - else +SECP256K1_INLINE static uint32_t secp256k1_scalar_get_bits_limb32(const secp256k1_scalar *a, unsigned int offset, unsigned int count) { + SECP256K1_SCALAR_VERIFY(a); + + VERIFY_CHECK(count > 0 && count <= 32); + if (offset < 32) { + return (*a >> offset) & (0xFFFFFFFF >> (32 - count)); + } else { return 0; + } } -SECP256K1_INLINE static unsigned int secp256k1_scalar_get_bits_var(const secp256k1_scalar *a, unsigned int offset, unsigned int count) { - return secp256k1_scalar_get_bits(a, offset, count); +SECP256K1_INLINE static uint32_t secp256k1_scalar_get_bits_var(const secp256k1_scalar *a, unsigned int offset, unsigned int count) { + SECP256K1_SCALAR_VERIFY(a); + + return secp256k1_scalar_get_bits_limb32(a, offset, count); } SECP256K1_INLINE static int secp256k1_scalar_check_overflow(const secp256k1_scalar *a) { return *a >= EXHAUSTIVE_TEST_ORDER; } static int secp256k1_scalar_add(secp256k1_scalar *r, const secp256k1_scalar *a, const secp256k1_scalar *b) { + SECP256K1_SCALAR_VERIFY(a); + SECP256K1_SCALAR_VERIFY(b); + *r = (*a + *b) % EXHAUSTIVE_TEST_ORDER; + + SECP256K1_SCALAR_VERIFY(r); return *r < *b; } static void secp256k1_scalar_cadd_bit(secp256k1_scalar *r, unsigned int bit, int flag) { + SECP256K1_SCALAR_VERIFY(r); + if (flag && bit < 32) *r += ((uint32_t)1 << bit); -#ifdef VERIFY + + SECP256K1_SCALAR_VERIFY(r); VERIFY_CHECK(bit < 32); /* Verify that adding (1 << bit) will not overflow any in-range scalar *r by overflowing the underlying uint32_t. */ VERIFY_CHECK(((uint32_t)1 << bit) - 1 <= UINT32_MAX - EXHAUSTIVE_TEST_ORDER); - VERIFY_CHECK(secp256k1_scalar_check_overflow(r) == 0); -#endif } static void secp256k1_scalar_set_b32(secp256k1_scalar *r, const unsigned char *b32, int *overflow) { @@ -60,81 +78,129 @@ static void secp256k1_scalar_set_b32(secp256k1_scalar *r, const unsigned char *b } } if (overflow) *overflow = over; + + SECP256K1_SCALAR_VERIFY(r); } static void secp256k1_scalar_get_b32(unsigned char *bin, const secp256k1_scalar* a) { + SECP256K1_SCALAR_VERIFY(a); + memset(bin, 0, 32); bin[28] = *a >> 24; bin[29] = *a >> 16; bin[30] = *a >> 8; bin[31] = *a; } SECP256K1_INLINE static int secp256k1_scalar_is_zero(const secp256k1_scalar *a) { + SECP256K1_SCALAR_VERIFY(a); + return *a == 0; } static void secp256k1_scalar_negate(secp256k1_scalar *r, const secp256k1_scalar *a) { + SECP256K1_SCALAR_VERIFY(a); + if (*a == 0) { *r = 0; } else { *r = EXHAUSTIVE_TEST_ORDER - *a; } + + SECP256K1_SCALAR_VERIFY(r); } SECP256K1_INLINE static int secp256k1_scalar_is_one(const secp256k1_scalar *a) { + SECP256K1_SCALAR_VERIFY(a); + return *a == 1; } static int secp256k1_scalar_is_high(const secp256k1_scalar *a) { + SECP256K1_SCALAR_VERIFY(a); + return *a > EXHAUSTIVE_TEST_ORDER / 2; } static int secp256k1_scalar_cond_negate(secp256k1_scalar *r, int flag) { + SECP256K1_SCALAR_VERIFY(r); + if (flag) secp256k1_scalar_negate(r, r); + + SECP256K1_SCALAR_VERIFY(r); return flag ? -1 : 1; } static void secp256k1_scalar_mul(secp256k1_scalar *r, const secp256k1_scalar *a, const secp256k1_scalar *b) { + SECP256K1_SCALAR_VERIFY(a); + SECP256K1_SCALAR_VERIFY(b); + *r = (*a * *b) % EXHAUSTIVE_TEST_ORDER; -} -static int secp256k1_scalar_shr_int(secp256k1_scalar *r, int n) { - int ret; - VERIFY_CHECK(n > 0); - VERIFY_CHECK(n < 16); - ret = *r & ((1 << n) - 1); - *r >>= n; - return ret; + SECP256K1_SCALAR_VERIFY(r); } static void secp256k1_scalar_split_128(secp256k1_scalar *r1, secp256k1_scalar *r2, const secp256k1_scalar *a) { + SECP256K1_SCALAR_VERIFY(a); + *r1 = *a; *r2 = 0; + + SECP256K1_SCALAR_VERIFY(r1); + SECP256K1_SCALAR_VERIFY(r2); } SECP256K1_INLINE static int secp256k1_scalar_eq(const secp256k1_scalar *a, const secp256k1_scalar *b) { + SECP256K1_SCALAR_VERIFY(a); + SECP256K1_SCALAR_VERIFY(b); + return *a == *b; } static SECP256K1_INLINE void secp256k1_scalar_cmov(secp256k1_scalar *r, const secp256k1_scalar *a, int flag) { uint32_t mask0, mask1; + volatile int vflag = flag; + SECP256K1_SCALAR_VERIFY(a); SECP256K1_CHECKMEM_CHECK_VERIFY(r, sizeof(*r)); - mask0 = flag + ~((uint32_t)0); + + mask0 = vflag + ~((uint32_t)0); mask1 = ~mask0; *r = (*r & mask0) | (*a & mask1); + + SECP256K1_SCALAR_VERIFY(r); } static void secp256k1_scalar_inverse(secp256k1_scalar *r, const secp256k1_scalar *x) { int i; - *r = 0; - for (i = 0; i < EXHAUSTIVE_TEST_ORDER; i++) - if ((i * *x) % EXHAUSTIVE_TEST_ORDER == 1) - *r = i; + uint32_t res = 0; + SECP256K1_SCALAR_VERIFY(x); + + for (i = 0; i < EXHAUSTIVE_TEST_ORDER; i++) { + if ((i * *x) % EXHAUSTIVE_TEST_ORDER == 1) { + res = i; + break; + } + } + /* If this VERIFY_CHECK triggers we were given a noninvertible scalar (and thus * have a composite group order; fix it in exhaustive_tests.c). */ - VERIFY_CHECK(*r != 0); + VERIFY_CHECK(res != 0); + *r = res; + + SECP256K1_SCALAR_VERIFY(r); } static void secp256k1_scalar_inverse_var(secp256k1_scalar *r, const secp256k1_scalar *x) { + SECP256K1_SCALAR_VERIFY(x); + secp256k1_scalar_inverse(r, x); + + SECP256K1_SCALAR_VERIFY(r); +} + +static void secp256k1_scalar_half(secp256k1_scalar *r, const secp256k1_scalar *a) { + SECP256K1_SCALAR_VERIFY(a); + + *r = (*a + ((-(uint32_t)(*a & 1)) & EXHAUSTIVE_TEST_ORDER)) >> 1; + + SECP256K1_SCALAR_VERIFY(r); } #endif /* SECP256K1_SCALAR_REPR_IMPL_H */ diff --git a/src/scratch.h b/src/scratch.h index 9dcb7581f6..6164330b39 100644 --- a/src/scratch.h +++ b/src/scratch.h @@ -21,6 +21,8 @@ typedef struct secp256k1_scratch_space_struct { size_t max_size; } secp256k1_scratch; +typedef struct secp256k1_scratch_space_struct secp256k1_scratch_space; + static secp256k1_scratch* secp256k1_scratch_create(const secp256k1_callback* error_callback, size_t max_size); static void secp256k1_scratch_destroy(const secp256k1_callback* error_callback, secp256k1_scratch* scratch); diff --git a/src/secp256k1.c b/src/secp256k1.c index 7af333ca90..ddd9849546 100644 --- a/src/secp256k1.c +++ b/src/secp256k1.c @@ -36,6 +36,7 @@ #include "int128_impl.h" #include "scratch_impl.h" #include "selftest.h" +#include "hsort_impl.h" #ifdef SECP256K1_NO_BUILD # error "secp256k1.h processed without SECP256K1_BUILD defined while building secp256k1.c" @@ -70,12 +71,12 @@ static const secp256k1_context secp256k1_context_static_ = { { secp256k1_default_error_callback_fn, 0 }, 0 }; -const secp256k1_context *secp256k1_context_static = &secp256k1_context_static_; -const secp256k1_context *secp256k1_context_no_precomp = &secp256k1_context_static_; +const secp256k1_context * const secp256k1_context_static = &secp256k1_context_static_; +const secp256k1_context * const secp256k1_context_no_precomp = &secp256k1_context_static_; /* Helper function that determines if a context is proper, i.e., is not the static context or a copy thereof. * - * This is intended for "context" functions such as secp256k1_context_clone. Function which need specific + * This is intended for "context" functions such as secp256k1_context_clone. Functions that need specific * features of a context should still check for these features directly. For example, a function that needs * ecmult_gen should directly check for the existence of the ecmult_gen context. */ static int secp256k1_context_is_proper(const secp256k1_context* ctx) { @@ -219,12 +220,12 @@ void secp256k1_context_set_error_callback(secp256k1_context* ctx, void (*fun)(co ctx->error_callback.data = data; } -secp256k1_scratch_space* secp256k1_scratch_space_create(const secp256k1_context* ctx, size_t max_size) { +static secp256k1_scratch_space* secp256k1_scratch_space_create(const secp256k1_context* ctx, size_t max_size) { VERIFY_CHECK(ctx != NULL); return secp256k1_scratch_create(&ctx->error_callback, max_size); } -void secp256k1_scratch_space_destroy(const secp256k1_context *ctx, secp256k1_scratch_space* scratch) { +static void secp256k1_scratch_space_destroy(const secp256k1_context *ctx, secp256k1_scratch_space* scratch) { VERIFY_CHECK(ctx != NULL); secp256k1_scratch_destroy(&ctx->error_callback, scratch); } @@ -237,36 +238,13 @@ static SECP256K1_INLINE void secp256k1_declassify(const secp256k1_context* ctx, } static int secp256k1_pubkey_load(const secp256k1_context* ctx, secp256k1_ge* ge, const secp256k1_pubkey* pubkey) { - if (sizeof(secp256k1_ge_storage) == 64) { - /* When the secp256k1_ge_storage type is exactly 64 byte, use its - * representation inside secp256k1_pubkey, as conversion is very fast. - * Note that secp256k1_pubkey_save must use the same representation. */ - secp256k1_ge_storage s; - memcpy(&s, &pubkey->data[0], sizeof(s)); - secp256k1_ge_from_storage(ge, &s); - } else { - /* Otherwise, fall back to 32-byte big endian for X and Y. */ - secp256k1_fe x, y; - secp256k1_fe_set_b32(&x, pubkey->data); - secp256k1_fe_set_b32(&y, pubkey->data + 32); - secp256k1_ge_set_xy(ge, &x, &y); - } + secp256k1_ge_from_bytes(ge, pubkey->data); ARG_CHECK(!secp256k1_fe_is_zero(&ge->x)); return 1; } static void secp256k1_pubkey_save(secp256k1_pubkey* pubkey, secp256k1_ge* ge) { - if (sizeof(secp256k1_ge_storage) == 64) { - secp256k1_ge_storage s; - secp256k1_ge_to_storage(&s, ge); - memcpy(&pubkey->data[0], &s, sizeof(s)); - } else { - VERIFY_CHECK(!secp256k1_ge_is_infinity(ge)); - secp256k1_fe_normalize_var(&ge->x); - secp256k1_fe_normalize_var(&ge->y); - secp256k1_fe_get_b32(pubkey->data, &ge->x); - secp256k1_fe_get_b32(pubkey->data + 32, &ge->y); - } + secp256k1_ge_to_bytes(pubkey->data, ge); } int secp256k1_ec_pubkey_parse(const secp256k1_context* ctx, secp256k1_pubkey* pubkey, const unsigned char *input, size_t inputlen) { @@ -290,7 +268,6 @@ int secp256k1_ec_pubkey_parse(const secp256k1_context* ctx, secp256k1_pubkey* pu int secp256k1_ec_pubkey_serialize(const secp256k1_context* ctx, unsigned char *output, size_t *outputlen, const secp256k1_pubkey* pubkey, unsigned int flags) { secp256k1_ge Q; size_t len; - int ret = 0; VERIFY_CHECK(ctx != NULL); ARG_CHECK(outputlen != NULL); @@ -302,12 +279,16 @@ int secp256k1_ec_pubkey_serialize(const secp256k1_context* ctx, unsigned char *o ARG_CHECK(pubkey != NULL); ARG_CHECK((flags & SECP256K1_FLAGS_TYPE_MASK) == SECP256K1_FLAGS_TYPE_COMPRESSION); if (secp256k1_pubkey_load(ctx, &Q, pubkey)) { - ret = secp256k1_eckey_pubkey_serialize(&Q, output, &len, flags & SECP256K1_FLAGS_BIT_COMPRESSION); - if (ret) { - *outputlen = len; + if (flags & SECP256K1_FLAGS_BIT_COMPRESSION) { + secp256k1_eckey_pubkey_serialize33(&Q, output); + *outputlen = 33; + } else { + secp256k1_eckey_pubkey_serialize65(&Q, output); + *outputlen = 65; } + return 1; } - return ret; + return 0; } int secp256k1_ec_pubkey_cmp(const secp256k1_context* ctx, const secp256k1_pubkey* pubkey0, const secp256k1_pubkey* pubkey1) { @@ -336,6 +317,39 @@ int secp256k1_ec_pubkey_cmp(const secp256k1_context* ctx, const secp256k1_pubkey return secp256k1_memcmp_var(out[0], out[1], sizeof(out[0])); } +static int secp256k1_ec_pubkey_sort_cmp(const void* pk1, const void* pk2, void *ctx) { + return secp256k1_ec_pubkey_cmp((secp256k1_context *)ctx, + *(secp256k1_pubkey **)pk1, + *(secp256k1_pubkey **)pk2); +} + +int secp256k1_ec_pubkey_sort(const secp256k1_context* ctx, const secp256k1_pubkey **pubkeys, size_t n_pubkeys) { + size_t i; + + VERIFY_CHECK(ctx != NULL); + ARG_CHECK(pubkeys != NULL); + for (i = 0; i < n_pubkeys; i++) { + ARG_CHECK(pubkeys[i] != NULL); + } + + /* Suppress wrong warning (fixed in MSVC 19.33) */ + #if defined(_MSC_VER) && (_MSC_VER < 1933) + #pragma warning(push) + #pragma warning(disable: 4090) + #endif + + /* Casting away const is fine because neither secp256k1_hsort nor + * secp256k1_ec_pubkey_sort_cmp modify the data pointed to by the cmp_data + * argument. */ + secp256k1_hsort(pubkeys, n_pubkeys, sizeof(*pubkeys), secp256k1_ec_pubkey_sort_cmp, (void *)ctx); + + #if defined(_MSC_VER) && (_MSC_VER < 1933) + #pragma warning(pop) + #endif + + return 1; +} + static void secp256k1_ecdsa_signature_load(const secp256k1_context* ctx, secp256k1_scalar* r, secp256k1_scalar* s, const secp256k1_ecdsa_signature* sig) { (void)ctx; if (sizeof(secp256k1_scalar) == 32) { @@ -488,11 +502,13 @@ static int nonce_function_rfc6979(unsigned char *nonce32, const unsigned char *m buffer_append(keydata, &offset, algo16, 16); } secp256k1_rfc6979_hmac_sha256_initialize(&rng, keydata, offset); - memset(keydata, 0, sizeof(keydata)); for (i = 0; i <= counter; i++) { secp256k1_rfc6979_hmac_sha256_generate(&rng, nonce32, 32); } secp256k1_rfc6979_hmac_sha256_finalize(&rng); + + secp256k1_memclear_explicit(keydata, sizeof(keydata)); + secp256k1_rfc6979_hmac_sha256_clear(&rng); return 1; } @@ -526,7 +542,7 @@ static int secp256k1_ecdsa_sign_inner(const secp256k1_context* ctx, secp256k1_sc break; } is_nonce_valid = secp256k1_scalar_set_b32_seckey(&non, nonce32); - /* The nonce is still secret here, but it being invalid is is less likely than 1:2^255. */ + /* The nonce is still secret here, but it being invalid is less likely than 1:2^255. */ secp256k1_declassify(ctx, &is_nonce_valid, sizeof(is_nonce_valid)); if (is_nonce_valid) { ret = secp256k1_ecdsa_sig_sign(&ctx->ecmult_gen_ctx, r, s, &sec, &msg, &non, recid); @@ -542,7 +558,7 @@ static int secp256k1_ecdsa_sign_inner(const secp256k1_context* ctx, secp256k1_sc * seckey. As a result is_sec_valid is included in ret only after ret was * used as a branching variable. */ ret &= is_sec_valid; - memset(nonce32, 0, 32); + secp256k1_memclear_explicit(nonce32, sizeof(nonce32)); secp256k1_scalar_clear(&msg); secp256k1_scalar_clear(&non); secp256k1_scalar_clear(&sec); @@ -589,6 +605,7 @@ static int secp256k1_ec_pubkey_create_helper(const secp256k1_ecmult_gen_context secp256k1_ecmult_gen(ecmult_gen_ctx, &pj, seckey_scalar); secp256k1_ge_set_gej(p, &pj); + secp256k1_gej_clear(&pj); return ret; } @@ -625,10 +642,6 @@ int secp256k1_ec_seckey_negate(const secp256k1_context* ctx, unsigned char *seck return ret; } -int secp256k1_ec_privkey_negate(const secp256k1_context* ctx, unsigned char *seckey) { - return secp256k1_ec_seckey_negate(ctx, seckey); -} - int secp256k1_ec_pubkey_negate(const secp256k1_context* ctx, secp256k1_pubkey *pubkey) { int ret = 0; secp256k1_ge p; @@ -672,10 +685,6 @@ int secp256k1_ec_seckey_tweak_add(const secp256k1_context* ctx, unsigned char *s return ret; } -int secp256k1_ec_privkey_tweak_add(const secp256k1_context* ctx, unsigned char *seckey, const unsigned char *tweak32) { - return secp256k1_ec_seckey_tweak_add(ctx, seckey, tweak32); -} - static int secp256k1_ec_pubkey_tweak_add_helper(secp256k1_ge *p, const unsigned char *tweak32) { secp256k1_scalar term; int overflow = 0; @@ -720,10 +729,6 @@ int secp256k1_ec_seckey_tweak_mul(const secp256k1_context* ctx, unsigned char *s return ret; } -int secp256k1_ec_privkey_tweak_mul(const secp256k1_context* ctx, unsigned char *seckey, const unsigned char *tweak32) { - return secp256k1_ec_seckey_tweak_mul(ctx, seckey, tweak32); -} - int secp256k1_ec_pubkey_tweak_mul(const secp256k1_context* ctx, secp256k1_pubkey *pubkey, const unsigned char *tweak32) { secp256k1_ge p; secp256k1_scalar factor; @@ -793,6 +798,7 @@ int secp256k1_tagged_sha256(const secp256k1_context* ctx, unsigned char *hash32, secp256k1_sha256_initialize_tagged(&sha, tag, taglen); secp256k1_sha256_write(&sha, msg, msglen); secp256k1_sha256_finalize(&sha, hash32); + secp256k1_sha256_clear(&sha); return 1; } @@ -811,3 +817,11 @@ int secp256k1_tagged_sha256(const secp256k1_context* ctx, unsigned char *hash32, #ifdef ENABLE_MODULE_SCHNORRSIG # include "modules/schnorrsig/main_impl.h" #endif + +#ifdef ENABLE_MODULE_MUSIG +# include "modules/musig/main_impl.h" +#endif + +#ifdef ENABLE_MODULE_ELLSWIFT +# include "modules/ellswift/main_impl.h" +#endif diff --git a/src/testrand.h b/src/testrand.h index d109bb9f8b..3c1ed3d45d 100644 --- a/src/testrand.h +++ b/src/testrand.h @@ -7,40 +7,42 @@ #ifndef SECP256K1_TESTRAND_H #define SECP256K1_TESTRAND_H +#include "util.h" + /* A non-cryptographic RNG used only for test infrastructure. */ /** Seed the pseudorandom number generator for testing. */ -SECP256K1_INLINE static void secp256k1_testrand_seed(const unsigned char *seed16); +SECP256K1_INLINE static void testrand_seed(const unsigned char *seed16); /** Generate a pseudorandom number in the range [0..2**32-1]. */ -SECP256K1_INLINE static uint32_t secp256k1_testrand32(void); +SECP256K1_INLINE static uint32_t testrand32(void); /** Generate a pseudorandom number in the range [0..2**64-1]. */ -SECP256K1_INLINE static uint64_t secp256k1_testrand64(void); +SECP256K1_INLINE static uint64_t testrand64(void); /** Generate a pseudorandom number in the range [0..2**bits-1]. Bits must be 1 or * more. */ -SECP256K1_INLINE static uint64_t secp256k1_testrand_bits(int bits); +SECP256K1_INLINE static uint64_t testrand_bits(int bits); /** Generate a pseudorandom number in the range [0..range-1]. */ -static uint32_t secp256k1_testrand_int(uint32_t range); +static uint32_t testrand_int(uint32_t range); /** Generate a pseudorandom 32-byte array. */ -static void secp256k1_testrand256(unsigned char *b32); +static void testrand256(unsigned char *b32); /** Generate a pseudorandom 32-byte array with long sequences of zero and one bits. */ -static void secp256k1_testrand256_test(unsigned char *b32); +static void testrand256_test(unsigned char *b32); /** Generate pseudorandom bytes with long sequences of zero and one bits. */ -static void secp256k1_testrand_bytes_test(unsigned char *bytes, size_t len); +static void testrand_bytes_test(unsigned char *bytes, size_t len); /** Flip a single random bit in a byte array */ -static void secp256k1_testrand_flip(unsigned char *b, size_t len); +static void testrand_flip(unsigned char *b, size_t len); /** Initialize the test RNG using (hex encoded) array up to 16 bytes, or randomly if hexseed is NULL. */ -static void secp256k1_testrand_init(const char* hexseed); +static void testrand_init(const char* hexseed); /** Print final test information. */ -static void secp256k1_testrand_finish(void); +static void testrand_finish(void); #endif /* SECP256K1_TESTRAND_H */ diff --git a/src/testrand_impl.h b/src/testrand_impl.h index e9b9d7ded4..b84f5730a9 100644 --- a/src/testrand_impl.h +++ b/src/testrand_impl.h @@ -13,13 +13,12 @@ #include "testrand.h" #include "hash.h" +#include "util.h" static uint64_t secp256k1_test_state[4]; -static uint64_t secp256k1_test_rng_integer; -static int secp256k1_test_rng_integer_bits_left = 0; -SECP256K1_INLINE static void secp256k1_testrand_seed(const unsigned char *seed16) { - static const unsigned char PREFIX[19] = "secp256k1 test init"; +SECP256K1_INLINE static void testrand_seed(const unsigned char *seed16) { + static const unsigned char PREFIX[] = {'s', 'e', 'c', 'p', '2', '5', '6', 'k', '1', ' ', 't', 'e', 's', 't', ' ', 'i', 'n', 'i', 't'}; unsigned char out32[32]; secp256k1_sha256 hash; int i; @@ -35,14 +34,13 @@ SECP256K1_INLINE static void secp256k1_testrand_seed(const unsigned char *seed16 for (j = 0; j < 8; ++j) s = (s << 8) | out32[8*i + j]; secp256k1_test_state[i] = s; } - secp256k1_test_rng_integer_bits_left = 0; } SECP256K1_INLINE static uint64_t rotl(const uint64_t x, int k) { return (x << k) | (x >> (64 - k)); } -SECP256K1_INLINE static uint64_t secp256k1_testrand64(void) { +SECP256K1_INLINE static uint64_t testrand64(void) { /* Test-only Xoshiro256++ RNG. See https://prng.di.unimi.it/ */ const uint64_t result = rotl(secp256k1_test_state[0] + secp256k1_test_state[3], 23) + secp256k1_test_state[0]; const uint64_t t = secp256k1_test_state[1] << 17; @@ -55,66 +53,38 @@ SECP256K1_INLINE static uint64_t secp256k1_testrand64(void) { return result; } -SECP256K1_INLINE static uint64_t secp256k1_testrand_bits(int bits) { - uint64_t ret; - if (secp256k1_test_rng_integer_bits_left < bits) { - secp256k1_test_rng_integer = secp256k1_testrand64(); - secp256k1_test_rng_integer_bits_left = 64; - } - ret = secp256k1_test_rng_integer; - secp256k1_test_rng_integer >>= bits; - secp256k1_test_rng_integer_bits_left -= bits; - ret &= ((~((uint64_t)0)) >> (64 - bits)); - return ret; +SECP256K1_INLINE static uint64_t testrand_bits(int bits) { + if (bits == 0) return 0; + return testrand64() >> (64 - bits); } -SECP256K1_INLINE static uint32_t secp256k1_testrand32(void) { - return secp256k1_testrand_bits(32); +SECP256K1_INLINE static uint32_t testrand32(void) { + return testrand64() >> 32; } -static uint32_t secp256k1_testrand_int(uint32_t range) { - /* We want a uniform integer between 0 and range-1, inclusive. - * B is the smallest number such that range <= 2**B. - * two mechanisms implemented here: - * - generate B bits numbers until one below range is found, and return it - * - find the largest multiple M of range that is <= 2**(B+A), generate B+A - * bits numbers until one below M is found, and return it modulo range - * The second mechanism consumes A more bits of entropy in every iteration, - * but may need fewer iterations due to M being closer to 2**(B+A) then - * range is to 2**B. The array below (indexed by B) contains a 0 when the - * first mechanism is to be used, and the number A otherwise. - */ - static const int addbits[] = {0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 1, 0}; - uint32_t trange, mult; - int bits = 0; - if (range <= 1) { - return 0; - } - trange = range - 1; - while (trange > 0) { - trange >>= 1; - bits++; +static uint32_t testrand_int(uint32_t range) { + uint32_t mask = 0; + uint32_t range_copy; + /* Reduce range by 1, changing its meaning to "maximum value". */ + VERIFY_CHECK(range != 0); + range -= 1; + /* Count the number of bits in range. */ + range_copy = range; + while (range_copy) { + mask = (mask << 1) | 1U; + range_copy >>= 1; } - if (addbits[bits]) { - bits = bits + addbits[bits]; - mult = ((~((uint32_t)0)) >> (32 - bits)) / range; - trange = range * mult; - } else { - trange = range; - mult = 1; - } - while(1) { - uint32_t x = secp256k1_testrand_bits(bits); - if (x < trange) { - return (mult == 1) ? x : (x % range); - } + /* Generation loop. */ + while (1) { + uint32_t val = testrand64() & mask; + if (val <= range) return val; } } -static void secp256k1_testrand256(unsigned char *b32) { +static void testrand256(unsigned char *b32) { int i; for (i = 0; i < 4; ++i) { - uint64_t val = secp256k1_testrand64(); + uint64_t val = testrand64(); b32[0] = val; b32[1] = val >> 8; b32[2] = val >> 16; @@ -127,14 +97,14 @@ static void secp256k1_testrand256(unsigned char *b32) { } } -static void secp256k1_testrand_bytes_test(unsigned char *bytes, size_t len) { +static void testrand_bytes_test(unsigned char *bytes, size_t len) { size_t bits = 0; memset(bytes, 0, len); while (bits < len * 8) { int now; uint32_t val; - now = 1 + (secp256k1_testrand_bits(6) * secp256k1_testrand_bits(5) + 16) / 31; - val = secp256k1_testrand_bits(1); + now = 1 + (testrand_bits(6) * testrand_bits(5) + 16) / 31; + val = testrand_bits(1); while (now > 0 && bits < len * 8) { bytes[bits / 8] |= val << (bits % 8); now--; @@ -143,15 +113,15 @@ static void secp256k1_testrand_bytes_test(unsigned char *bytes, size_t len) { } } -static void secp256k1_testrand256_test(unsigned char *b32) { - secp256k1_testrand_bytes_test(b32, 32); +static void testrand256_test(unsigned char *b32) { + testrand_bytes_test(b32, 32); } -static void secp256k1_testrand_flip(unsigned char *b, size_t len) { - b[secp256k1_testrand_int(len)] ^= (1 << secp256k1_testrand_bits(3)); +static void testrand_flip(unsigned char *b, size_t len) { + b[testrand_int(len)] ^= (1 << testrand_bits(3)); } -static void secp256k1_testrand_init(const char* hexseed) { +static void testrand_init(const char* hexseed) { unsigned char seed16[16] = {0}; if (hexseed && strlen(hexseed) != 0) { int pos = 0; @@ -185,12 +155,12 @@ static void secp256k1_testrand_init(const char* hexseed) { } printf("random seed = %02x%02x%02x%02x%02x%02x%02x%02x%02x%02x%02x%02x%02x%02x%02x%02x\n", seed16[0], seed16[1], seed16[2], seed16[3], seed16[4], seed16[5], seed16[6], seed16[7], seed16[8], seed16[9], seed16[10], seed16[11], seed16[12], seed16[13], seed16[14], seed16[15]); - secp256k1_testrand_seed(seed16); + testrand_seed(seed16); } -static void secp256k1_testrand_finish(void) { +static void testrand_finish(void) { unsigned char run32[32]; - secp256k1_testrand256(run32); + testrand256(run32); printf("random run = %02x%02x%02x%02x%02x%02x%02x%02x%02x%02x%02x%02x%02x%02x%02x%02x\n", run32[0], run32[1], run32[2], run32[3], run32[4], run32[5], run32[6], run32[7], run32[8], run32[9], run32[10], run32[11], run32[12], run32[13], run32[14], run32[15]); } diff --git a/src/tests.c b/src/tests.c index 1c0d797349..14aa785895 100644 --- a/src/tests.c +++ b/src/tests.c @@ -10,12 +10,23 @@ #include +#ifdef USE_EXTERNAL_DEFAULT_CALLBACKS + #pragma message("Ignoring USE_EXTERNAL_CALLBACKS in tests.") + #undef USE_EXTERNAL_DEFAULT_CALLBACKS +#endif +#if defined(VERIFY) && defined(COVERAGE) + #pragma message("Defining VERIFY for tests being built for coverage analysis support is meaningless.") +#endif #include "secp256k1.c" + #include "../include/secp256k1.h" #include "../include/secp256k1_preallocated.h" #include "testrand_impl.h" #include "checkmem.h" +#include "testutil.h" #include "util.h" +#include "unit_test.h" +#include "unit_test.c" #include "../contrib/lax_der_parsing.c" #include "../contrib/lax_der_privatekey_parsing.c" @@ -28,7 +39,6 @@ #define CONDITIONAL_TEST(cnt, nam) if (COUNT < (cnt)) { printf("Skipping %s (iteration count too low)\n", nam); } else -static int COUNT = 64; static secp256k1_context *CTX = NULL; static secp256k1_context *STATIC_CTX = NULL; @@ -44,26 +54,32 @@ static int all_bytes_equal(const void* s, unsigned char value, size_t n) { return 1; } -/* TODO Use CHECK_ILLEGAL(_VOID) everywhere and get rid of the uncounting callback */ -/* CHECK that expr_or_stmt calls the illegal callback of ctx exactly once - * - * For checking functions that use ARG_CHECK_VOID */ -#define CHECK_ILLEGAL_VOID(ctx, expr_or_stmt) do { \ - int32_t _calls_to_illegal_callback = 0; \ - secp256k1_callback _saved_illegal_cb = ctx->illegal_callback; \ - secp256k1_context_set_illegal_callback(ctx, \ - counting_illegal_callback_fn, &_calls_to_illegal_callback); \ +#define CHECK_COUNTING_CALLBACK_VOID(ctx, expr_or_stmt, callback, callback_setter) do { \ + int32_t _calls_to_callback = 0; \ + secp256k1_callback _saved_callback = ctx->callback; \ + callback_setter(ctx, counting_callback_fn, &_calls_to_callback); \ { expr_or_stmt; } \ - ctx->illegal_callback = _saved_illegal_cb; \ - CHECK(_calls_to_illegal_callback == 1); \ + ctx->callback = _saved_callback; \ + CHECK(_calls_to_callback == 1); \ } while(0); -/* CHECK that expr calls the illegal callback of ctx exactly once and that expr == 0 +/* CHECK that expr_or_stmt calls the error or illegal callback of ctx exactly once * - * For checking functions that use ARG_CHECK */ + * Useful for checking functions that return void (e.g., API functions that use ARG_CHECK_VOID) */ +#define CHECK_ERROR_VOID(ctx, expr_or_stmt) \ + CHECK_COUNTING_CALLBACK_VOID(ctx, expr_or_stmt, error_callback, secp256k1_context_set_error_callback) +#define CHECK_ILLEGAL_VOID(ctx, expr_or_stmt) \ + CHECK_COUNTING_CALLBACK_VOID(ctx, expr_or_stmt, illegal_callback, secp256k1_context_set_illegal_callback) + +/* CHECK that + * - expr calls the illegal callback of ctx exactly once and, + * - expr == 0 (or equivalently, expr == NULL) + * + * Useful for checking functions that return an integer or a pointer. */ #define CHECK_ILLEGAL(ctx, expr) CHECK_ILLEGAL_VOID(ctx, CHECK((expr) == 0)) +#define CHECK_ERROR(ctx, expr) CHECK_ERROR_VOID(ctx, CHECK((expr) == 0)) -static void counting_illegal_callback_fn(const char* str, void* data) { +static void counting_callback_fn(const char* str, void* data) { /* Dummy callback function that just counts. */ int32_t *p; (void)str; @@ -72,104 +88,33 @@ static void counting_illegal_callback_fn(const char* str, void* data) { (*p)++; } -static void uncounting_illegal_callback_fn(const char* str, void* data) { - /* Dummy callback function that just counts (backwards). */ - int32_t *p; - (void)str; - p = data; - CHECK(*p != INT32_MIN); - (*p)--; -} - -static void random_field_element_test(secp256k1_fe *fe) { - do { - unsigned char b32[32]; - secp256k1_testrand256_test(b32); - if (secp256k1_fe_set_b32(fe, b32)) { - break; +static void run_xoshiro256pp_tests(void) { + { + size_t i; + /* Sanity check that we run before the actual seeding. */ + for (i = 0; i < sizeof(secp256k1_test_state)/sizeof(secp256k1_test_state[0]); i++) { + CHECK(secp256k1_test_state[i] == 0); } - } while(1); -} - -static void random_field_element_magnitude(secp256k1_fe *fe) { - secp256k1_fe zero; - int n = secp256k1_testrand_int(9); - secp256k1_fe_normalize(fe); - if (n == 0) { - return; } - secp256k1_fe_clear(&zero); - secp256k1_fe_negate(&zero, &zero, 0); - secp256k1_fe_mul_int(&zero, n - 1); - secp256k1_fe_add(fe, &zero); -#ifdef VERIFY - CHECK(fe->magnitude == n); -#endif -} - -static void random_group_element_test(secp256k1_ge *ge) { - secp256k1_fe fe; - do { - random_field_element_test(&fe); - if (secp256k1_ge_set_xo_var(ge, &fe, secp256k1_testrand_bits(1))) { - secp256k1_fe_normalize(&ge->y); - break; - } - } while(1); - ge->infinity = 0; -} - -static void random_group_element_jacobian_test(secp256k1_gej *gej, const secp256k1_ge *ge) { - secp256k1_fe z2, z3; - do { - random_field_element_test(&gej->z); - if (!secp256k1_fe_is_zero(&gej->z)) { - break; - } - } while(1); - secp256k1_fe_sqr(&z2, &gej->z); - secp256k1_fe_mul(&z3, &z2, &gej->z); - secp256k1_fe_mul(&gej->x, &ge->x, &z2); - secp256k1_fe_mul(&gej->y, &ge->y, &z3); - gej->infinity = ge->infinity; -} - -static void random_gej_test(secp256k1_gej *gej) { - secp256k1_ge ge; - random_group_element_test(&ge); - random_group_element_jacobian_test(gej, &ge); -} - -static void random_scalar_order_test(secp256k1_scalar *num) { - do { - unsigned char b32[32]; - int overflow = 0; - secp256k1_testrand256_test(b32); - secp256k1_scalar_set_b32(num, b32, &overflow); - if (overflow || secp256k1_scalar_is_zero(num)) { - continue; - } - break; - } while(1); -} - -static void random_scalar_order(secp256k1_scalar *num) { - do { - unsigned char b32[32]; - int overflow = 0; - secp256k1_testrand256(b32); - secp256k1_scalar_set_b32(num, b32, &overflow); - if (overflow || secp256k1_scalar_is_zero(num)) { - continue; + { + int i; + unsigned char buf32[32]; + unsigned char seed16[16] = { + 'C', 'H', 'I', 'C', 'K', 'E', 'N', '!', + 'C', 'H', 'I', 'C', 'K', 'E', 'N', '!', + }; + unsigned char buf32_expected[32] = { + 0xAF, 0xCC, 0xA9, 0x16, 0xB5, 0x6C, 0xE3, 0xF0, + 0x44, 0x3F, 0x45, 0xE0, 0x47, 0xA5, 0x08, 0x36, + 0x4C, 0xCC, 0xC1, 0x18, 0xB2, 0xD8, 0x8F, 0xEF, + 0x43, 0x26, 0x15, 0x57, 0x37, 0x00, 0xEF, 0x30, + }; + testrand_seed(seed16); + for (i = 0; i < 17; i++) { + testrand256(buf32); } - break; - } while(1); -} - -static void random_scalar_order_b32(unsigned char *b32) { - secp256k1_scalar num; - random_scalar_order(&num); - secp256k1_scalar_get_b32(b32, &num); + CHECK(secp256k1_memcmp_var(buf32, buf32_expected, sizeof(buf32)) == 0); + } } static void run_selftest_tests(void) { @@ -179,8 +124,9 @@ static void run_selftest_tests(void) { static int ecmult_gen_context_eq(const secp256k1_ecmult_gen_context *a, const secp256k1_ecmult_gen_context *b) { return a->built == b->built - && secp256k1_scalar_eq(&a->blind, &b->blind) - && secp256k1_gej_eq_var(&a->initial, &b->initial); + && secp256k1_scalar_eq(&a->scalar_offset, &b->scalar_offset) + && secp256k1_ge_eq_var(&a->ge_offset, &b->ge_offset) + && secp256k1_fe_equal(&a->proj_blind, &b->proj_blind); } static int context_eq(const secp256k1_context *a, const secp256k1_context *b) { @@ -211,55 +157,34 @@ static void run_deprecated_context_flags_test(void) { } static void run_ec_illegal_argument_tests(void) { - int ecount = 0; - int ecount2 = 10; secp256k1_pubkey pubkey; secp256k1_pubkey zero_pubkey; secp256k1_ecdsa_signature sig; unsigned char ctmp[32]; /* Setup */ - secp256k1_context_set_illegal_callback(STATIC_CTX, counting_illegal_callback_fn, &ecount); - secp256k1_context_set_illegal_callback(CTX, counting_illegal_callback_fn, &ecount2); memset(ctmp, 1, 32); memset(&zero_pubkey, 0, sizeof(zero_pubkey)); /* Verify context-type checking illegal-argument errors. */ - CHECK(secp256k1_ec_pubkey_create(STATIC_CTX, &pubkey, ctmp) == 0); - CHECK(ecount == 1); + CHECK_ILLEGAL(STATIC_CTX, secp256k1_ec_pubkey_create(STATIC_CTX, &pubkey, ctmp)); SECP256K1_CHECKMEM_UNDEFINE(&pubkey, sizeof(pubkey)); CHECK(secp256k1_ec_pubkey_create(CTX, &pubkey, ctmp) == 1); SECP256K1_CHECKMEM_CHECK(&pubkey, sizeof(pubkey)); - CHECK(secp256k1_ecdsa_sign(STATIC_CTX, &sig, ctmp, ctmp, NULL, NULL) == 0); - CHECK(ecount == 2); + CHECK_ILLEGAL(STATIC_CTX, secp256k1_ecdsa_sign(STATIC_CTX, &sig, ctmp, ctmp, NULL, NULL)); SECP256K1_CHECKMEM_UNDEFINE(&sig, sizeof(sig)); CHECK(secp256k1_ecdsa_sign(CTX, &sig, ctmp, ctmp, NULL, NULL) == 1); SECP256K1_CHECKMEM_CHECK(&sig, sizeof(sig)); - CHECK(ecount2 == 10); CHECK(secp256k1_ecdsa_verify(CTX, &sig, ctmp, &pubkey) == 1); - CHECK(ecount2 == 10); CHECK(secp256k1_ecdsa_verify(STATIC_CTX, &sig, ctmp, &pubkey) == 1); - CHECK(ecount == 2); CHECK(secp256k1_ec_pubkey_tweak_add(CTX, &pubkey, ctmp) == 1); - CHECK(ecount2 == 10); CHECK(secp256k1_ec_pubkey_tweak_add(STATIC_CTX, &pubkey, ctmp) == 1); - CHECK(ecount == 2); CHECK(secp256k1_ec_pubkey_tweak_mul(CTX, &pubkey, ctmp) == 1); - CHECK(ecount2 == 10); CHECK(secp256k1_ec_pubkey_negate(STATIC_CTX, &pubkey) == 1); - CHECK(ecount == 2); CHECK(secp256k1_ec_pubkey_negate(CTX, &pubkey) == 1); - CHECK(ecount == 2); - CHECK(secp256k1_ec_pubkey_negate(STATIC_CTX, &zero_pubkey) == 0); - CHECK(ecount == 3); - CHECK(secp256k1_ec_pubkey_negate(CTX, NULL) == 0); - CHECK(ecount2 == 11); + CHECK_ILLEGAL(STATIC_CTX, secp256k1_ec_pubkey_negate(STATIC_CTX, &zero_pubkey)); + CHECK_ILLEGAL(CTX, secp256k1_ec_pubkey_negate(CTX, NULL)); CHECK(secp256k1_ec_pubkey_tweak_mul(STATIC_CTX, &pubkey, ctmp) == 1); - CHECK(ecount == 3); - - /* Clean up */ - secp256k1_context_set_illegal_callback(STATIC_CTX, NULL, NULL); - secp256k1_context_set_illegal_callback(CTX, NULL, NULL); } static void run_static_context_tests(int use_prealloc) { @@ -294,8 +219,8 @@ static void run_static_context_tests(int use_prealloc) { { /* Verify that setting and resetting illegal callback works */ int32_t dummy = 0; - secp256k1_context_set_illegal_callback(STATIC_CTX, counting_illegal_callback_fn, &dummy); - CHECK(STATIC_CTX->illegal_callback.fn == counting_illegal_callback_fn); + secp256k1_context_set_illegal_callback(STATIC_CTX, counting_callback_fn, &dummy); + CHECK(STATIC_CTX->illegal_callback.fn == counting_callback_fn); CHECK(STATIC_CTX->illegal_callback.data == &dummy); secp256k1_context_set_illegal_callback(STATIC_CTX, NULL, NULL); CHECK(STATIC_CTX->illegal_callback.fn == secp256k1_default_illegal_callback_fn); @@ -303,6 +228,12 @@ static void run_static_context_tests(int use_prealloc) { } } +static void run_all_static_context_tests(void) +{ + run_static_context_tests(0); + run_static_context_tests(1); +} + static void run_proper_context_tests(int use_prealloc) { int32_t dummy = 0; secp256k1_context *my_ctx, *my_ctx_fresh; @@ -386,8 +317,8 @@ static void run_proper_context_tests(int use_prealloc) { CHECK(context_eq(my_ctx, my_ctx_fresh)); /* Verify that setting and resetting illegal callback works */ - secp256k1_context_set_illegal_callback(my_ctx, counting_illegal_callback_fn, &dummy); - CHECK(my_ctx->illegal_callback.fn == counting_illegal_callback_fn); + secp256k1_context_set_illegal_callback(my_ctx, counting_callback_fn, &dummy); + CHECK(my_ctx->illegal_callback.fn == counting_callback_fn); CHECK(my_ctx->illegal_callback.data == &dummy); secp256k1_context_set_illegal_callback(my_ctx, NULL, NULL); CHECK(my_ctx->illegal_callback.fn == secp256k1_default_illegal_callback_fn); @@ -395,14 +326,14 @@ static void run_proper_context_tests(int use_prealloc) { CHECK(context_eq(my_ctx, my_ctx_fresh)); /*** attempt to use them ***/ - random_scalar_order_test(&msg); - random_scalar_order_test(&key); + testutil_random_scalar_order_test(&msg); + testutil_random_scalar_order_test(&key); secp256k1_ecmult_gen(&my_ctx->ecmult_gen_ctx, &pubj, &key); secp256k1_ge_set_gej(&pub, &pubj); /* obtain a working nonce */ do { - random_scalar_order_test(&nonce); + testutil_random_scalar_order_test(&nonce); } while(!secp256k1_ecdsa_sig_sign(&my_ctx->ecmult_gen_ctx, &sigr, &sigs, &key, &msg, &nonce, NULL)); /* try signing */ @@ -425,22 +356,23 @@ static void run_proper_context_tests(int use_prealloc) { secp256k1_context_preallocated_destroy(NULL); } +static void run_all_proper_context_tests(void) +{ + run_proper_context_tests(0); + run_proper_context_tests(1); +} + static void run_scratch_tests(void) { const size_t adj_alloc = ((500 + ALIGNMENT - 1) / ALIGNMENT) * ALIGNMENT; - int32_t ecount = 0; size_t checkpoint; size_t checkpoint_2; secp256k1_scratch_space *scratch; secp256k1_scratch_space local_scratch; - secp256k1_context_set_illegal_callback(CTX, counting_illegal_callback_fn, &ecount); - secp256k1_context_set_error_callback(CTX, counting_illegal_callback_fn, &ecount); - /* Test public API */ scratch = secp256k1_scratch_space_create(CTX, 1000); CHECK(scratch != NULL); - CHECK(ecount == 0); /* Test internal API */ CHECK(secp256k1_scratch_max_allocation(&CTX->error_callback, scratch, 0) == 1000); @@ -473,22 +405,16 @@ static void run_scratch_tests(void) { /* try to apply a bad checkpoint */ checkpoint_2 = secp256k1_scratch_checkpoint(&CTX->error_callback, scratch); secp256k1_scratch_apply_checkpoint(&CTX->error_callback, scratch, checkpoint); - CHECK(ecount == 0); - secp256k1_scratch_apply_checkpoint(&CTX->error_callback, scratch, checkpoint_2); /* checkpoint_2 is after checkpoint */ - CHECK(ecount == 1); - secp256k1_scratch_apply_checkpoint(&CTX->error_callback, scratch, (size_t) -1); /* this is just wildly invalid */ - CHECK(ecount == 2); + CHECK_ERROR_VOID(CTX, secp256k1_scratch_apply_checkpoint(&CTX->error_callback, scratch, checkpoint_2)); /* checkpoint_2 is after checkpoint */ + CHECK_ERROR_VOID(CTX, secp256k1_scratch_apply_checkpoint(&CTX->error_callback, scratch, (size_t) -1)); /* this is just wildly invalid */ /* try to use badly initialized scratch space */ secp256k1_scratch_space_destroy(CTX, scratch); memset(&local_scratch, 0, sizeof(local_scratch)); scratch = &local_scratch; - CHECK(!secp256k1_scratch_max_allocation(&CTX->error_callback, scratch, 0)); - CHECK(ecount == 3); - CHECK(secp256k1_scratch_alloc(&CTX->error_callback, scratch, 500) == NULL); - CHECK(ecount == 4); - secp256k1_scratch_space_destroy(CTX, scratch); - CHECK(ecount == 5); + CHECK_ERROR(CTX, secp256k1_scratch_max_allocation(&CTX->error_callback, scratch, 0)); + CHECK_ERROR(CTX, secp256k1_scratch_alloc(&CTX->error_callback, scratch, 500)); + CHECK_ERROR_VOID(CTX, secp256k1_scratch_space_destroy(CTX, scratch)); /* Test that large integers do not wrap around in a bad way */ scratch = secp256k1_scratch_space_create(CTX, 1000); @@ -504,9 +430,6 @@ static void run_scratch_tests(void) { /* cleanup */ secp256k1_scratch_space_destroy(CTX, NULL); /* no-op */ - - secp256k1_context_set_illegal_callback(CTX, NULL, NULL); - secp256k1_context_set_error_callback(CTX, NULL, NULL); } static void run_ctz_tests(void) { @@ -573,7 +496,7 @@ static void run_sha256_known_output_tests(void) { CHECK(secp256k1_memcmp_var(out, outputs[i], 32) == 0); /* 2. Run: split the input bytestrings randomly before writing */ if (strlen(inputs[i]) > 0) { - int split = secp256k1_testrand_int(strlen(inputs[i])); + int split = testrand_int(strlen(inputs[i])); secp256k1_sha256_initialize(&hasher); j = repeat[i]; while (j > 0) { @@ -689,6 +612,24 @@ static void run_sha256_counter_tests(void) { } } +/* Tests for the equality of two sha256 structs. This function only produces a + * correct result if an integer multiple of 64 many bytes have been written + * into the hash functions. This function is used by some module tests. */ +static void test_sha256_eq(const secp256k1_sha256 *sha1, const secp256k1_sha256 *sha2) { + /* Is buffer fully consumed? */ + CHECK((sha1->bytes & 0x3F) == 0); + + CHECK(sha1->bytes == sha2->bytes); + CHECK(secp256k1_memcmp_var(sha1->s, sha2->s, sizeof(sha1->s)) == 0); +} +/* Convenience function for using test_sha256_eq to verify the correctness of a + * tagged hash midstate. This function is used by some module tests. */ +static void test_sha256_tag_midstate(secp256k1_sha256 *sha_tagged, const unsigned char *tag, size_t taglen) { + secp256k1_sha256 sha; + secp256k1_sha256_initialize_tagged(&sha, tag, taglen); + test_sha256_eq(&sha, sha_tagged); +} + static void run_hmac_sha256_tests(void) { static const char *keys[6] = { "\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b", @@ -723,7 +664,7 @@ static void run_hmac_sha256_tests(void) { secp256k1_hmac_sha256_finalize(&hasher, out); CHECK(secp256k1_memcmp_var(out, outputs[i], 32) == 0); if (strlen(inputs[i]) > 0) { - int split = secp256k1_testrand_int(strlen(inputs[i])); + int split = testrand_int(strlen(inputs[i])); secp256k1_hmac_sha256_initialize(&hasher, (const unsigned char*)(keys[i]), strlen(keys[i])); secp256k1_hmac_sha256_write(&hasher, (const unsigned char*)(inputs[i]), split); secp256k1_hmac_sha256_write(&hasher, (const unsigned char*)(inputs[i] + split), strlen(inputs[i]) - split); @@ -775,7 +716,6 @@ static void run_rfc6979_hmac_sha256_tests(void) { } static void run_tagged_sha256_tests(void) { - int ecount = 0; unsigned char tag[32] = { 0 }; unsigned char msg[32] = { 0 }; unsigned char hash32[32]; @@ -786,16 +726,11 @@ static void run_tagged_sha256_tests(void) { 0xE2, 0x76, 0x55, 0x9A, 0x3B, 0xDE, 0x55, 0xB3 }; - secp256k1_context_set_illegal_callback(CTX, counting_illegal_callback_fn, &ecount); - /* API test */ CHECK(secp256k1_tagged_sha256(CTX, hash32, tag, sizeof(tag), msg, sizeof(msg)) == 1); - CHECK(secp256k1_tagged_sha256(CTX, NULL, tag, sizeof(tag), msg, sizeof(msg)) == 0); - CHECK(ecount == 1); - CHECK(secp256k1_tagged_sha256(CTX, hash32, NULL, 0, msg, sizeof(msg)) == 0); - CHECK(ecount == 2); - CHECK(secp256k1_tagged_sha256(CTX, hash32, tag, sizeof(tag), NULL, 0) == 0); - CHECK(ecount == 3); + CHECK_ILLEGAL(CTX, secp256k1_tagged_sha256(CTX, NULL, tag, sizeof(tag), msg, sizeof(msg))); + CHECK_ILLEGAL(CTX, secp256k1_tagged_sha256(CTX, hash32, NULL, 0, msg, sizeof(msg))); + CHECK_ILLEGAL(CTX, secp256k1_tagged_sha256(CTX, hash32, tag, sizeof(tag), NULL, 0)); /* Static test vector */ memcpy(tag, "tag", 3); @@ -804,78 +739,6 @@ static void run_tagged_sha256_tests(void) { CHECK(secp256k1_memcmp_var(hash32, hash_expected, sizeof(hash32)) == 0); } -/***** RANDOM TESTS *****/ - -static void test_rand_bits(int rand32, int bits) { - /* (1-1/2^B)^rounds[B] < 1/10^9, so rounds is the number of iterations to - * get a false negative chance below once in a billion */ - static const unsigned int rounds[7] = {1, 30, 73, 156, 322, 653, 1316}; - /* We try multiplying the results with various odd numbers, which shouldn't - * influence the uniform distribution modulo a power of 2. */ - static const uint32_t mults[6] = {1, 3, 21, 289, 0x9999, 0x80402011}; - /* We only select up to 6 bits from the output to analyse */ - unsigned int usebits = bits > 6 ? 6 : bits; - unsigned int maxshift = bits - usebits; - /* For each of the maxshift+1 usebits-bit sequences inside a bits-bit - number, track all observed outcomes, one per bit in a uint64_t. */ - uint64_t x[6][27] = {{0}}; - unsigned int i, shift, m; - /* Multiply the output of all rand calls with the odd number m, which - should not change the uniformity of its distribution. */ - for (i = 0; i < rounds[usebits]; i++) { - uint32_t r = (rand32 ? secp256k1_testrand32() : secp256k1_testrand_bits(bits)); - CHECK((((uint64_t)r) >> bits) == 0); - for (m = 0; m < sizeof(mults) / sizeof(mults[0]); m++) { - uint32_t rm = r * mults[m]; - for (shift = 0; shift <= maxshift; shift++) { - x[m][shift] |= (((uint64_t)1) << ((rm >> shift) & ((1 << usebits) - 1))); - } - } - } - for (m = 0; m < sizeof(mults) / sizeof(mults[0]); m++) { - for (shift = 0; shift <= maxshift; shift++) { - /* Test that the lower usebits bits of x[shift] are 1 */ - CHECK(((~x[m][shift]) << (64 - (1 << usebits))) == 0); - } - } -} - -/* Subrange must be a whole divisor of range, and at most 64 */ -static void test_rand_int(uint32_t range, uint32_t subrange) { - /* (1-1/subrange)^rounds < 1/10^9 */ - int rounds = (subrange * 2073) / 100; - int i; - uint64_t x = 0; - CHECK((range % subrange) == 0); - for (i = 0; i < rounds; i++) { - uint32_t r = secp256k1_testrand_int(range); - CHECK(r < range); - r = r % subrange; - x |= (((uint64_t)1) << r); - } - /* Test that the lower subrange bits of x are 1. */ - CHECK(((~x) << (64 - subrange)) == 0); -} - -static void run_rand_bits(void) { - size_t b; - test_rand_bits(1, 32); - for (b = 1; b <= 32; b++) { - test_rand_bits(0, b); - } -} - -static void run_rand_int(void) { - static const uint32_t ms[] = {1, 3, 17, 1000, 13771, 999999, 33554432}; - static const uint32_t ss[] = {1, 3, 6, 9, 13, 31, 64}; - unsigned int m, s; - for (m = 0; m < sizeof(ms) / sizeof(ms[0]); m++) { - for (s = 0; s < sizeof(ss) / sizeof(ss[0]); s++) { - test_rand_int(ms[m] * ss[s], ss[s]); - } - } -} - /***** MODINV TESTS *****/ /* Compute the modular inverse of (odd) x mod 2^64. */ @@ -1001,7 +864,7 @@ static void signed30_to_uint16(uint16_t* out, const secp256k1_modinv32_signed30* static void mutate_sign_signed30(secp256k1_modinv32_signed30* x) { int i; for (i = 0; i < 16; ++i) { - int pos = secp256k1_testrand_bits(3); + int pos = testrand_bits(3); if (x->v[pos] > 0 && x->v[pos + 1] <= 0x3fffffff) { x->v[pos] -= 0x40000000; x->v[pos + 1] += 1; @@ -1093,7 +956,7 @@ static void mutate_sign_signed62(secp256k1_modinv64_signed62* x) { static const int64_t M62 = (int64_t)(UINT64_MAX >> 2); int i; for (i = 0; i < 8; ++i) { - int pos = secp256k1_testrand_bits(2); + int pos = testrand_bits(2); if (x->v[pos] > 0 && x->v[pos + 1] <= M62) { x->v[pos] -= (M62 + 1); x->v[pos + 1] += 1; @@ -1806,8 +1669,8 @@ static void run_modinv_tests(void) { /* generate random xd and md, so that md is odd, md>1, xd 256) { now = 256 - i; } @@ -2213,20 +2076,6 @@ static void scalar_test(void) { CHECK(secp256k1_scalar_eq(&n, &s)); } - { - /* test secp256k1_scalar_shr_int */ - secp256k1_scalar r; - int i; - random_scalar_order_test(&r); - for (i = 0; i < 100; ++i) { - int low; - int shift = 1 + secp256k1_testrand_int(15); - int expected = r.d[0] % (1 << shift); - low = secp256k1_scalar_shr_int(&r, shift); - CHECK(expected == low); - } - } - { /* Test commutativity of add. */ secp256k1_scalar r1, r2; @@ -2240,7 +2089,7 @@ static void scalar_test(void) { secp256k1_scalar b; int i; /* Test add_bit. */ - int bit = secp256k1_testrand_bits(8); + int bit = testrand_bits(8); secp256k1_scalar_set_int(&b, 1); CHECK(secp256k1_scalar_is_one(&b)); for (i = 0; i < bit; i++) { @@ -2299,28 +2148,32 @@ static void scalar_test(void) { { /* Test multiplicative identity. */ - secp256k1_scalar r1, v1; - secp256k1_scalar_set_int(&v1,1); - secp256k1_scalar_mul(&r1, &s1, &v1); + secp256k1_scalar r1; + secp256k1_scalar_mul(&r1, &s1, &secp256k1_scalar_one); CHECK(secp256k1_scalar_eq(&r1, &s1)); } { /* Test additive identity. */ - secp256k1_scalar r1, v0; - secp256k1_scalar_set_int(&v0,0); - secp256k1_scalar_add(&r1, &s1, &v0); + secp256k1_scalar r1; + secp256k1_scalar_add(&r1, &s1, &secp256k1_scalar_zero); CHECK(secp256k1_scalar_eq(&r1, &s1)); } { /* Test zero product property. */ - secp256k1_scalar r1, v0; - secp256k1_scalar_set_int(&v0,0); - secp256k1_scalar_mul(&r1, &s1, &v0); - CHECK(secp256k1_scalar_eq(&r1, &v0)); + secp256k1_scalar r1; + secp256k1_scalar_mul(&r1, &s1, &secp256k1_scalar_zero); + CHECK(secp256k1_scalar_eq(&r1, &secp256k1_scalar_zero)); } + { + /* Test halving. */ + secp256k1_scalar r; + secp256k1_scalar_add(&r, &s, &s); + secp256k1_scalar_half(&r, &r); + CHECK(secp256k1_scalar_eq(&r, &s)); + } } static void run_scalar_set_b32_seckey_tests(void) { @@ -2329,7 +2182,7 @@ static void run_scalar_set_b32_seckey_tests(void) { secp256k1_scalar s2; /* Usually set_b32 and set_b32_seckey give the same result */ - random_scalar_order_b32(b32); + testutil_random_scalar_order_b32(b32); secp256k1_scalar_set_b32(&s1, b32, NULL); CHECK(secp256k1_scalar_set_b32_seckey(&s2, b32) == 1); CHECK(secp256k1_scalar_eq(&s1, &s2) == 1); @@ -2349,18 +2202,62 @@ static void run_scalar_tests(void) { run_scalar_set_b32_seckey_tests(); } + { + /* Check that the scalar constants secp256k1_scalar_zero and + secp256k1_scalar_one contain the expected values. */ + secp256k1_scalar zero, one; + + CHECK(secp256k1_scalar_is_zero(&secp256k1_scalar_zero)); + secp256k1_scalar_set_int(&zero, 0); + CHECK(secp256k1_scalar_eq(&zero, &secp256k1_scalar_zero)); + + CHECK(secp256k1_scalar_is_one(&secp256k1_scalar_one)); + secp256k1_scalar_set_int(&one, 1); + CHECK(secp256k1_scalar_eq(&one, &secp256k1_scalar_one)); + } + { /* (-1)+1 should be zero. */ - secp256k1_scalar s, o; - secp256k1_scalar_set_int(&s, 1); - CHECK(secp256k1_scalar_is_one(&s)); - secp256k1_scalar_negate(&o, &s); - secp256k1_scalar_add(&o, &o, &s); + secp256k1_scalar o; + secp256k1_scalar_negate(&o, &secp256k1_scalar_one); + secp256k1_scalar_add(&o, &o, &secp256k1_scalar_one); CHECK(secp256k1_scalar_is_zero(&o)); secp256k1_scalar_negate(&o, &o); CHECK(secp256k1_scalar_is_zero(&o)); } + { + /* Test that halving and doubling roundtrips on some fixed values. */ + static const secp256k1_scalar HALF_TESTS[] = { + /* 0 */ + SECP256K1_SCALAR_CONST(0, 0, 0, 0, 0, 0, 0, 0), + /* 1 */ + SECP256K1_SCALAR_CONST(0, 0, 0, 0, 0, 0, 0, 1), + /* -1 */ + SECP256K1_SCALAR_CONST(0xfffffffful, 0xfffffffful, 0xfffffffful, 0xfffffffeul, 0xbaaedce6ul, 0xaf48a03bul, 0xbfd25e8cul, 0xd0364140ul), + /* -2 (largest odd value) */ + SECP256K1_SCALAR_CONST(0xfffffffful, 0xfffffffful, 0xfffffffful, 0xfffffffeul, 0xbaaedce6ul, 0xaf48a03bul, 0xbfd25e8cul, 0xd036413Ful), + /* Half the secp256k1 order */ + SECP256K1_SCALAR_CONST(0x7ffffffful, 0xfffffffful, 0xfffffffful, 0xfffffffful, 0x5d576e73ul, 0x57a4501dul, 0xdfe92f46ul, 0x681b20a0ul), + /* Half the secp256k1 order + 1 */ + SECP256K1_SCALAR_CONST(0x7ffffffful, 0xfffffffful, 0xfffffffful, 0xfffffffful, 0x5d576e73ul, 0x57a4501dul, 0xdfe92f46ul, 0x681b20a1ul), + /* 2^255 */ + SECP256K1_SCALAR_CONST(0x80000000ul, 0, 0, 0, 0, 0, 0, 0), + /* 2^255 - 1 */ + SECP256K1_SCALAR_CONST(0x7ffffffful, 0xfffffffful, 0xfffffffful, 0xfffffffful, 0xfffffffful, 0xfffffffful, 0xfffffffful, 0xfffffffful), + }; + unsigned n; + for (n = 0; n < sizeof(HALF_TESTS) / sizeof(HALF_TESTS[0]); ++n) { + secp256k1_scalar s; + secp256k1_scalar_half(&s, &HALF_TESTS[n]); + secp256k1_scalar_add(&s, &s, &s); + CHECK(secp256k1_scalar_eq(&s, &HALF_TESTS[n])); + secp256k1_scalar_add(&s, &s, &s); + secp256k1_scalar_half(&s, &s); + CHECK(secp256k1_scalar_eq(&s, &HALF_TESTS[n])); + } + } + { /* Does check_overflow check catch all ones? */ static const secp256k1_scalar overflowed = SECP256K1_SCALAR_CONST( @@ -2380,7 +2277,6 @@ static void run_scalar_tests(void) { secp256k1_scalar y; secp256k1_scalar z; secp256k1_scalar zz; - secp256k1_scalar one; secp256k1_scalar r1; secp256k1_scalar r2; secp256k1_scalar zzv; @@ -2917,7 +2813,6 @@ static void run_scalar_tests(void) { 0x1e, 0x86, 0x5d, 0x89, 0x63, 0xe6, 0x0a, 0x46, 0x5c, 0x02, 0x97, 0x1b, 0x62, 0x43, 0x86, 0xf5}} }; - secp256k1_scalar_set_int(&one, 1); for (i = 0; i < 33; i++) { secp256k1_scalar_set_b32(&x, chal[i][0], &overflow); CHECK(!overflow); @@ -2928,73 +2823,37 @@ static void run_scalar_tests(void) { secp256k1_scalar_set_b32(&r2, res[i][1], &overflow); CHECK(!overflow); secp256k1_scalar_mul(&z, &x, &y); - CHECK(!secp256k1_scalar_check_overflow(&z)); CHECK(secp256k1_scalar_eq(&r1, &z)); if (!secp256k1_scalar_is_zero(&y)) { secp256k1_scalar_inverse(&zz, &y); - CHECK(!secp256k1_scalar_check_overflow(&zz)); secp256k1_scalar_inverse_var(&zzv, &y); CHECK(secp256k1_scalar_eq(&zzv, &zz)); secp256k1_scalar_mul(&z, &z, &zz); - CHECK(!secp256k1_scalar_check_overflow(&z)); CHECK(secp256k1_scalar_eq(&x, &z)); secp256k1_scalar_mul(&zz, &zz, &y); - CHECK(!secp256k1_scalar_check_overflow(&zz)); - CHECK(secp256k1_scalar_eq(&one, &zz)); + CHECK(secp256k1_scalar_eq(&secp256k1_scalar_one, &zz)); } + secp256k1_scalar_mul(&z, &x, &x); + CHECK(secp256k1_scalar_eq(&r2, &z)); } } } /***** FIELD TESTS *****/ -static void random_fe(secp256k1_fe *x) { - unsigned char bin[32]; - do { - secp256k1_testrand256(bin); - if (secp256k1_fe_set_b32(x, bin)) { - return; - } - } while(1); -} - -static void random_fe_test(secp256k1_fe *x) { - unsigned char bin[32]; - do { - secp256k1_testrand256_test(bin); - if (secp256k1_fe_set_b32(x, bin)) { - return; - } - } while(1); -} - -static void random_fe_non_zero(secp256k1_fe *nz) { - int tries = 10; - while (--tries >= 0) { - random_fe(nz); - secp256k1_fe_normalize(nz); - if (!secp256k1_fe_is_zero(nz)) { - break; - } - } - /* Infinitesimal probability of spurious failure here */ - CHECK(tries >= 0); -} - static void random_fe_non_square(secp256k1_fe *ns) { secp256k1_fe r; - random_fe_non_zero(ns); + testutil_random_fe_non_zero(ns); if (secp256k1_fe_sqrt(&r, ns)) { secp256k1_fe_negate(ns, ns, 1); } } -static int check_fe_equal(const secp256k1_fe *a, const secp256k1_fe *b) { +static int fe_equal(const secp256k1_fe *a, const secp256k1_fe *b) { secp256k1_fe an = *a; secp256k1_fe bn = *b; secp256k1_fe_normalize_weak(&an); - secp256k1_fe_normalize_var(&bn); - return secp256k1_fe_equal_var(&an, &bn); + return secp256k1_fe_equal(&an, &bn); } static void run_field_convert(void) { @@ -3016,10 +2875,10 @@ static void run_field_convert(void) { unsigned char b322[32]; secp256k1_fe_storage fes2; /* Check conversions to fe. */ - CHECK(secp256k1_fe_set_b32(&fe2, b32)); - CHECK(secp256k1_fe_equal_var(&fe, &fe2)); + CHECK(secp256k1_fe_set_b32_limit(&fe2, b32)); + CHECK(secp256k1_fe_equal(&fe, &fe2)); secp256k1_fe_from_storage(&fe2, &fes); - CHECK(secp256k1_fe_equal_var(&fe, &fe2)); + CHECK(secp256k1_fe_equal(&fe, &fe2)); /* Check conversion from fe. */ secp256k1_fe_get_b32(b322, &fe); CHECK(secp256k1_memcmp_var(b322, b32, 32) == 0); @@ -3027,13 +2886,75 @@ static void run_field_convert(void) { CHECK(secp256k1_memcmp_var(&fes2, &fes, sizeof(fes)) == 0); } +static void run_field_be32_overflow(void) { + { + static const unsigned char zero_overflow[32] = { + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, + 0xFF, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFC, 0x2F, + }; + static const unsigned char zero[32] = { 0x00 }; + unsigned char out[32]; + secp256k1_fe fe; + CHECK(secp256k1_fe_set_b32_limit(&fe, zero_overflow) == 0); + secp256k1_fe_set_b32_mod(&fe, zero_overflow); + CHECK(secp256k1_fe_normalizes_to_zero(&fe) == 1); + secp256k1_fe_normalize(&fe); + CHECK(secp256k1_fe_is_zero(&fe) == 1); + secp256k1_fe_get_b32(out, &fe); + CHECK(secp256k1_memcmp_var(out, zero, 32) == 0); + } + { + static const unsigned char one_overflow[32] = { + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, + 0xFF, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFC, 0x30, + }; + static const unsigned char one[32] = { + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01, + }; + unsigned char out[32]; + secp256k1_fe fe; + CHECK(secp256k1_fe_set_b32_limit(&fe, one_overflow) == 0); + secp256k1_fe_set_b32_mod(&fe, one_overflow); + secp256k1_fe_normalize(&fe); + CHECK(secp256k1_fe_cmp_var(&fe, &secp256k1_fe_one) == 0); + secp256k1_fe_get_b32(out, &fe); + CHECK(secp256k1_memcmp_var(out, one, 32) == 0); + } + { + static const unsigned char ff_overflow[32] = { + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, + }; + static const unsigned char ff[32] = { + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x01, 0x00, 0x00, 0x03, 0xD0, + }; + unsigned char out[32]; + secp256k1_fe fe; + const secp256k1_fe fe_ff = SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0x01, 0x000003d0); + CHECK(secp256k1_fe_set_b32_limit(&fe, ff_overflow) == 0); + secp256k1_fe_set_b32_mod(&fe, ff_overflow); + secp256k1_fe_normalize(&fe); + CHECK(secp256k1_fe_cmp_var(&fe, &fe_ff) == 0); + secp256k1_fe_get_b32(out, &fe); + CHECK(secp256k1_memcmp_var(out, ff, 32) == 0); + } +} + /* Returns true if two field elements have the same representation. */ static int fe_identical(const secp256k1_fe *a, const secp256k1_fe *b) { int ret = 1; -#ifdef VERIFY - ret &= (a->magnitude == b->magnitude); - ret &= (a->normalized == b->normalized); -#endif /* Compare the struct member that holds the limbs. */ ret &= (secp256k1_memcmp_var(a->n, b->n, sizeof(a->n)) == 0); return ret; @@ -3065,7 +2986,7 @@ static void run_field_half(void) { #endif secp256k1_fe_normalize_weak(&u); secp256k1_fe_add(&u, &u); - CHECK(check_fe_equal(&t, &u)); + CHECK(fe_equal(&t, &u)); /* Check worst-case input: ensure the LSB is 1 so that P will be added, * which will also cause all carries to be 1, since all limbs that can @@ -3084,7 +3005,7 @@ static void run_field_half(void) { #endif secp256k1_fe_normalize_weak(&u); secp256k1_fe_add(&u, &u); - CHECK(check_fe_equal(&t, &u)); + CHECK(fe_equal(&t, &u)); } } @@ -3099,52 +3020,58 @@ static void run_field_misc(void) { for (i = 0; i < 1000 * COUNT; i++) { secp256k1_fe_storage xs, ys, zs; if (i & 1) { - random_fe(&x); + testutil_random_fe(&x); } else { - random_fe_test(&x); + testutil_random_fe_test(&x); } - random_fe_non_zero(&y); - v = secp256k1_testrand_bits(15); + testutil_random_fe_non_zero(&y); + v = testrand_bits(15); /* Test that fe_add_int is equivalent to fe_set_int + fe_add. */ secp256k1_fe_set_int(&q, v); /* q = v */ z = x; /* z = x */ secp256k1_fe_add(&z, &q); /* z = x+v */ q = x; /* q = x */ secp256k1_fe_add_int(&q, v); /* q = x+v */ - CHECK(check_fe_equal(&q, &z)); + CHECK(fe_equal(&q, &z)); /* Test the fe equality and comparison operations. */ CHECK(secp256k1_fe_cmp_var(&x, &x) == 0); - CHECK(secp256k1_fe_equal_var(&x, &x)); + CHECK(secp256k1_fe_equal(&x, &x)); z = x; secp256k1_fe_add(&z,&y); /* Test fe conditional move; z is not normalized here. */ q = x; secp256k1_fe_cmov(&x, &z, 0); #ifdef VERIFY - CHECK(x.normalized && x.magnitude == 1); + CHECK(!x.normalized); + CHECK((x.magnitude == q.magnitude) || (x.magnitude == z.magnitude)); + CHECK((x.magnitude >= q.magnitude) && (x.magnitude >= z.magnitude)); #endif + x = q; secp256k1_fe_cmov(&x, &x, 1); CHECK(!fe_identical(&x, &z)); CHECK(fe_identical(&x, &q)); secp256k1_fe_cmov(&q, &z, 1); #ifdef VERIFY - CHECK(!q.normalized && q.magnitude == z.magnitude); + CHECK(!q.normalized); + CHECK((q.magnitude == x.magnitude) || (q.magnitude == z.magnitude)); + CHECK((q.magnitude >= x.magnitude) && (q.magnitude >= z.magnitude)); #endif CHECK(fe_identical(&q, &z)); + q = z; secp256k1_fe_normalize_var(&x); secp256k1_fe_normalize_var(&z); - CHECK(!secp256k1_fe_equal_var(&x, &z)); + CHECK(!secp256k1_fe_equal(&x, &z)); secp256k1_fe_normalize_var(&q); secp256k1_fe_cmov(&q, &z, (i&1)); #ifdef VERIFY CHECK(q.normalized && q.magnitude == 1); #endif for (j = 0; j < 6; j++) { - secp256k1_fe_negate(&z, &z, j+1); + secp256k1_fe_negate_unchecked(&z, &z, j+1); secp256k1_fe_normalize_var(&q); secp256k1_fe_cmov(&q, &z, (j&1)); #ifdef VERIFY - CHECK((q.normalized != (j&1)) && q.magnitude == ((j&1) ? z.magnitude : 1)); + CHECK(!q.normalized && q.magnitude == z.magnitude); #endif } secp256k1_fe_normalize_var(&z); @@ -3165,27 +3092,27 @@ static void run_field_misc(void) { secp256k1_fe_add(&y, &x); z = x; secp256k1_fe_mul_int(&z, 3); - CHECK(check_fe_equal(&y, &z)); + CHECK(fe_equal(&y, &z)); secp256k1_fe_add(&y, &x); secp256k1_fe_add(&z, &x); - CHECK(check_fe_equal(&z, &y)); + CHECK(fe_equal(&z, &y)); z = x; secp256k1_fe_mul_int(&z, 5); secp256k1_fe_mul(&q, &x, &fe5); - CHECK(check_fe_equal(&z, &q)); + CHECK(fe_equal(&z, &q)); secp256k1_fe_negate(&x, &x, 1); secp256k1_fe_add(&z, &x); secp256k1_fe_add(&q, &x); - CHECK(check_fe_equal(&y, &z)); - CHECK(check_fe_equal(&q, &y)); + CHECK(fe_equal(&y, &z)); + CHECK(fe_equal(&q, &y)); /* Check secp256k1_fe_half. */ z = x; secp256k1_fe_half(&z); secp256k1_fe_add(&z, &z); - CHECK(check_fe_equal(&x, &z)); + CHECK(fe_equal(&x, &z)); secp256k1_fe_add(&z, &z); secp256k1_fe_half(&z); - CHECK(check_fe_equal(&x, &z)); + CHECK(fe_equal(&x, &z)); } } @@ -3236,14 +3163,14 @@ static void run_fe_mul(void) { int i; for (i = 0; i < 100 * COUNT; ++i) { secp256k1_fe a, b, c, d; - random_fe(&a); - random_field_element_magnitude(&a); - random_fe(&b); - random_field_element_magnitude(&b); - random_fe_test(&c); - random_field_element_magnitude(&c); - random_fe_test(&d); - random_field_element_magnitude(&d); + testutil_random_fe(&a); + testutil_random_fe_magnitude(&a, 8); + testutil_random_fe(&b); + testutil_random_fe_magnitude(&b, 8); + testutil_random_fe_test(&c); + testutil_random_fe_magnitude(&c, 8); + testutil_random_fe_test(&d); + testutil_random_fe_magnitude(&d, 8); test_fe_mul(&a, &a, 1); test_fe_mul(&c, &c, 1); test_fe_mul(&a, &b, 0); @@ -3254,18 +3181,31 @@ static void run_fe_mul(void) { } static void run_sqr(void) { - secp256k1_fe x, s; + int i; + secp256k1_fe x, y, lhs, rhs, tmp; - { - int i; - secp256k1_fe_set_int(&x, 1); - secp256k1_fe_negate(&x, &x, 1); + secp256k1_fe_set_int(&x, 1); + secp256k1_fe_negate(&x, &x, 1); - for (i = 1; i <= 512; ++i) { - secp256k1_fe_mul_int(&x, 2); - secp256k1_fe_normalize(&x); - secp256k1_fe_sqr(&s, &x); - } + for (i = 1; i <= 512; ++i) { + secp256k1_fe_mul_int(&x, 2); + secp256k1_fe_normalize(&x); + + /* Check that (x+y)*(x-y) = x^2 - y*2 for some random values y */ + testutil_random_fe_test(&y); + + lhs = x; + secp256k1_fe_add(&lhs, &y); /* lhs = x+y */ + secp256k1_fe_negate(&tmp, &y, 1); /* tmp = -y */ + secp256k1_fe_add(&tmp, &x); /* tmp = x-y */ + secp256k1_fe_mul(&lhs, &lhs, &tmp); /* lhs = (x+y)*(x-y) */ + + secp256k1_fe_sqr(&rhs, &x); /* rhs = x^2 */ + secp256k1_fe_sqr(&tmp, &y); /* tmp = y^2 */ + secp256k1_fe_negate(&tmp, &tmp, 1); /* tmp = -y^2 */ + secp256k1_fe_add(&rhs, &tmp); /* rhs = x^2 - y^2 */ + + CHECK(fe_equal(&lhs, &rhs)); } } @@ -3306,7 +3246,7 @@ static void run_sqrt(void) { int j; random_fe_non_square(&ns); for (j = 0; j < COUNT; j++) { - random_fe(&x); + testutil_random_fe(&x); secp256k1_fe_sqr(&s, &x); CHECK(secp256k1_fe_is_square_var(&s)); test_sqrt(&s, &x); @@ -3587,9 +3527,9 @@ static void run_inverse_tests(void) for (i = 0; (size_t)i < sizeof(fe_cases)/sizeof(fe_cases[0]); ++i) { for (var = 0; var <= 1; ++var) { test_inverse_field(&x_fe, &fe_cases[i][0], var); - check_fe_equal(&x_fe, &fe_cases[i][1]); + CHECK(fe_equal(&x_fe, &fe_cases[i][1])); test_inverse_field(&x_fe, &fe_cases[i][1], var); - check_fe_equal(&x_fe, &fe_cases[i][0]); + CHECK(fe_equal(&x_fe, &fe_cases[i][0])); } } for (i = 0; (size_t)i < sizeof(scalar_cases)/sizeof(scalar_cases[0]); ++i) { @@ -3605,7 +3545,7 @@ static void run_inverse_tests(void) b32[31] = i & 0xff; b32[30] = (i >> 8) & 0xff; secp256k1_scalar_set_b32(&x_scalar, b32, NULL); - secp256k1_fe_set_b32(&x_fe, b32); + secp256k1_fe_set_b32_mod(&x_fe, b32); for (var = 0; var <= 1; ++var) { test_inverse_scalar(NULL, &x_scalar, var); test_inverse_field(NULL, &x_fe, var); @@ -3620,9 +3560,9 @@ static void run_inverse_tests(void) /* test 128*count random inputs; half with testrand256_test, half with testrand256 */ for (testrand = 0; testrand <= 1; ++testrand) { for (i = 0; i < 64 * COUNT; ++i) { - (testrand ? secp256k1_testrand256_test : secp256k1_testrand256)(b32); + (testrand ? testrand256_test : testrand256)(b32); secp256k1_scalar_set_b32(&x_scalar, b32, NULL); - secp256k1_fe_set_b32(&x_fe, b32); + secp256k1_fe_set_b32_mod(&x_fe, b32); for (var = 0; var <= 1; ++var) { test_inverse_scalar(NULL, &x_scalar, var); test_inverse_field(NULL, &x_fe, var); @@ -3631,17 +3571,80 @@ static void run_inverse_tests(void) } } -/***** GROUP TESTS *****/ +/***** HSORT TESTS *****/ -static void ge_equals_ge(const secp256k1_ge *a, const secp256k1_ge *b) { - CHECK(a->infinity == b->infinity); - if (a->infinity) { - return; +static void test_heap_swap(void) { + unsigned char a[600]; + unsigned char e[sizeof(a)]; + memset(a, 21, 200); + memset(a + 200, 99, 200); + memset(a + 400, 42, 200); + memset(e, 42, 200); + memset(e + 200, 99, 200); + memset(e + 400, 21, 200); + secp256k1_heap_swap(a, 0, 2, 200); + CHECK(secp256k1_memcmp_var(a, e, sizeof(a)) == 0); +} + +static void test_hsort_is_sorted(unsigned char *elements, size_t n, size_t len) { + size_t i; + for (i = 1; i < n; i++) { + CHECK(secp256k1_memcmp_var(&elements[(i-1) * len], &elements[i * len], len) <= 0); } - CHECK(secp256k1_fe_equal_var(&a->x, &b->x)); - CHECK(secp256k1_fe_equal_var(&a->y, &b->y)); } +struct test_hsort_cmp_data { + size_t counter; + size_t element_len; +}; + + +static int test_hsort_cmp(const void *ele1, const void *ele2, void *data) { + struct test_hsort_cmp_data *d = (struct test_hsort_cmp_data *) data; + d->counter += 1; + return secp256k1_memcmp_var((unsigned char *)ele1, (unsigned char *)ele2, d->element_len); +} + +#define NUM 65 +#define MAX_ELEMENT_LEN 65 +static void test_hsort(size_t element_len) { + unsigned char elements[NUM * MAX_ELEMENT_LEN] = { 0 }; + struct test_hsort_cmp_data data; + int i; + + VERIFY_CHECK(element_len <= MAX_ELEMENT_LEN); + data.counter = 0; + data.element_len = element_len; + + secp256k1_hsort(elements, 0, element_len, test_hsort_cmp, &data); + CHECK(data.counter == 0); + secp256k1_hsort(elements, 1, element_len, test_hsort_cmp, &data); + CHECK(data.counter == 0); + secp256k1_hsort(elements, NUM, element_len, test_hsort_cmp, &data); + CHECK(data.counter >= NUM - 1); + test_hsort_is_sorted(elements, NUM, element_len); + + /* Test hsort with array of random length n */ + for (i = 0; i < COUNT; i++) { + int n = testrand_int(NUM); + testrand_bytes_test(elements, n*element_len); + secp256k1_hsort(elements, n, element_len, test_hsort_cmp, &data); + test_hsort_is_sorted(elements, n, element_len); + } +} +#undef NUM +#undef MAX_ELEMENT_LEN + + +static void run_hsort_tests(void) { + test_heap_swap(); + test_hsort(1); + test_hsort(64); + test_hsort(65); +} + +/***** GROUP TESTS *****/ + /* This compares jacobian points including their Z, not just their geometric meaning. */ static int gej_xyz_equals_gej(const secp256k1_gej *a, const secp256k1_gej *b) { secp256k1_gej a2; @@ -3664,23 +3667,6 @@ static int gej_xyz_equals_gej(const secp256k1_gej *a, const secp256k1_gej *b) { return ret; } -static void ge_equals_gej(const secp256k1_ge *a, const secp256k1_gej *b) { - secp256k1_fe z2s; - secp256k1_fe u1, u2, s1, s2; - CHECK(a->infinity == b->infinity); - if (a->infinity) { - return; - } - /* Check a.x * b.z^2 == b.x && a.y * b.z^3 == b.y, to avoid inverses. */ - secp256k1_fe_sqr(&z2s, &b->z); - secp256k1_fe_mul(&u1, &a->x, &z2s); - u2 = b->x; secp256k1_fe_normalize_weak(&u2); - secp256k1_fe_mul(&s1, &a->y, &z2s); secp256k1_fe_mul(&s1, &s1, &b->z); - s2 = b->y; secp256k1_fe_normalize_weak(&s2); - CHECK(secp256k1_fe_equal_var(&u1, &u2)); - CHECK(secp256k1_fe_equal_var(&s1, &s2)); -} - static void test_ge(void) { int i, i1; int runs = 6; @@ -3692,18 +3678,18 @@ static void test_ge(void) { */ secp256k1_ge *ge = (secp256k1_ge *)checked_malloc(&CTX->error_callback, sizeof(secp256k1_ge) * (1 + 4 * runs)); secp256k1_gej *gej = (secp256k1_gej *)checked_malloc(&CTX->error_callback, sizeof(secp256k1_gej) * (1 + 4 * runs)); - secp256k1_fe zf; + secp256k1_fe zf, r; secp256k1_fe zfi2, zfi3; secp256k1_gej_set_infinity(&gej[0]); - secp256k1_ge_clear(&ge[0]); - secp256k1_ge_set_gej_var(&ge[0], &gej[0]); + secp256k1_ge_set_infinity(&ge[0]); for (i = 0; i < runs; i++) { - int j; + int j, k; secp256k1_ge g; - random_group_element_test(&g); + testutil_random_ge_test(&g); if (i >= runs - 2) { secp256k1_ge_mul_lambda(&g, &ge[1]); + CHECK(!secp256k1_ge_eq_var(&g, &ge[1])); } if (i >= runs - 1) { secp256k1_ge_mul_lambda(&g, &g); @@ -3713,27 +3699,38 @@ static void test_ge(void) { secp256k1_ge_neg(&ge[3 + 4 * i], &g); secp256k1_ge_neg(&ge[4 + 4 * i], &g); secp256k1_gej_set_ge(&gej[1 + 4 * i], &ge[1 + 4 * i]); - random_group_element_jacobian_test(&gej[2 + 4 * i], &ge[2 + 4 * i]); + testutil_random_ge_jacobian_test(&gej[2 + 4 * i], &ge[2 + 4 * i]); secp256k1_gej_set_ge(&gej[3 + 4 * i], &ge[3 + 4 * i]); - random_group_element_jacobian_test(&gej[4 + 4 * i], &ge[4 + 4 * i]); + testutil_random_ge_jacobian_test(&gej[4 + 4 * i], &ge[4 + 4 * i]); for (j = 0; j < 4; j++) { - random_field_element_magnitude(&ge[1 + j + 4 * i].x); - random_field_element_magnitude(&ge[1 + j + 4 * i].y); - random_field_element_magnitude(&gej[1 + j + 4 * i].x); - random_field_element_magnitude(&gej[1 + j + 4 * i].y); - random_field_element_magnitude(&gej[1 + j + 4 * i].z); + testutil_random_ge_x_magnitude(&ge[1 + j + 4 * i]); + testutil_random_ge_y_magnitude(&ge[1 + j + 4 * i]); + testutil_random_gej_x_magnitude(&gej[1 + j + 4 * i]); + testutil_random_gej_y_magnitude(&gej[1 + j + 4 * i]); + testutil_random_gej_z_magnitude(&gej[1 + j + 4 * i]); + } + + for (j = 0; j < 4; ++j) { + for (k = 0; k < 4; ++k) { + int expect_equal = (j >> 1) == (k >> 1); + CHECK(secp256k1_ge_eq_var(&ge[1 + j + 4 * i], &ge[1 + k + 4 * i]) == expect_equal); + CHECK(secp256k1_gej_eq_var(&gej[1 + j + 4 * i], &gej[1 + k + 4 * i]) == expect_equal); + CHECK(secp256k1_gej_eq_ge_var(&gej[1 + j + 4 * i], &ge[1 + k + 4 * i]) == expect_equal); + CHECK(secp256k1_gej_eq_ge_var(&gej[1 + k + 4 * i], &ge[1 + j + 4 * i]) == expect_equal); + } } } /* Generate random zf, and zfi2 = 1/zf^2, zfi3 = 1/zf^3 */ - do { - random_field_element_test(&zf); - } while(secp256k1_fe_is_zero(&zf)); - random_field_element_magnitude(&zf); + testutil_random_fe_non_zero_test(&zf); + testutil_random_fe_magnitude(&zf, 8); secp256k1_fe_inv_var(&zfi3, &zf); secp256k1_fe_sqr(&zfi2, &zfi3); secp256k1_fe_mul(&zfi3, &zfi3, &zfi2); + /* Generate random r */ + testutil_random_fe_non_zero_test(&r); + for (i1 = 0; i1 < 1 + 4 * runs; i1++) { int i2; for (i2 = 0; i2 < 1 + 4 * runs; i2++) { @@ -3745,16 +3742,16 @@ static void test_ge(void) { /* Check Z ratio. */ if (!secp256k1_gej_is_infinity(&gej[i1]) && !secp256k1_gej_is_infinity(&refj)) { secp256k1_fe zrz; secp256k1_fe_mul(&zrz, &zr, &gej[i1].z); - CHECK(secp256k1_fe_equal_var(&zrz, &refj.z)); + CHECK(secp256k1_fe_equal(&zrz, &refj.z)); } secp256k1_ge_set_gej_var(&ref, &refj); /* Test gej + ge with Z ratio result (var). */ secp256k1_gej_add_ge_var(&resj, &gej[i1], &ge[i2], secp256k1_gej_is_infinity(&gej[i1]) ? NULL : &zr); - ge_equals_gej(&ref, &resj); + CHECK(secp256k1_gej_eq_ge_var(&resj, &ref)); if (!secp256k1_gej_is_infinity(&gej[i1]) && !secp256k1_gej_is_infinity(&resj)) { secp256k1_fe zrz; secp256k1_fe_mul(&zrz, &zr, &gej[i1].z); - CHECK(secp256k1_fe_equal_var(&zrz, &resj.z)); + CHECK(secp256k1_fe_equal(&zrz, &resj.z)); } /* Test gej + ge (var, with additional Z factor). */ @@ -3762,17 +3759,17 @@ static void test_ge(void) { secp256k1_ge ge2_zfi = ge[i2]; /* the second term with x and y rescaled for z = 1/zf */ secp256k1_fe_mul(&ge2_zfi.x, &ge2_zfi.x, &zfi2); secp256k1_fe_mul(&ge2_zfi.y, &ge2_zfi.y, &zfi3); - random_field_element_magnitude(&ge2_zfi.x); - random_field_element_magnitude(&ge2_zfi.y); + testutil_random_ge_x_magnitude(&ge2_zfi); + testutil_random_ge_y_magnitude(&ge2_zfi); secp256k1_gej_add_zinv_var(&resj, &gej[i1], &ge2_zfi, &zf); - ge_equals_gej(&ref, &resj); + CHECK(secp256k1_gej_eq_ge_var(&resj, &ref)); } /* Test gej + ge (const). */ if (i2 != 0) { /* secp256k1_gej_add_ge does not support its second argument being infinity. */ secp256k1_gej_add_ge(&resj, &gej[i1], &ge[i2]); - ge_equals_gej(&ref, &resj); + CHECK(secp256k1_gej_eq_ge_var(&resj, &ref)); } /* Test doubling (var). */ @@ -3780,16 +3777,16 @@ static void test_ge(void) { secp256k1_fe zr2; /* Normal doubling with Z ratio result. */ secp256k1_gej_double_var(&resj, &gej[i1], &zr2); - ge_equals_gej(&ref, &resj); + CHECK(secp256k1_gej_eq_ge_var(&resj, &ref)); /* Check Z ratio. */ secp256k1_fe_mul(&zr2, &zr2, &gej[i1].z); - CHECK(secp256k1_fe_equal_var(&zr2, &resj.z)); + CHECK(secp256k1_fe_equal(&zr2, &resj.z)); /* Normal doubling. */ secp256k1_gej_double_var(&resj, &gej[i2], NULL); - ge_equals_gej(&ref, &resj); + CHECK(secp256k1_gej_eq_ge_var(&resj, &ref)); /* Constant-time doubling. */ secp256k1_gej_double(&resj, &gej[i2]); - ge_equals_gej(&ref, &resj); + CHECK(secp256k1_gej_eq_ge_var(&resj, &ref)); } /* Test adding opposites. */ @@ -3801,12 +3798,12 @@ static void test_ge(void) { if (i1 == 0) { CHECK(secp256k1_ge_is_infinity(&ge[i1])); CHECK(secp256k1_gej_is_infinity(&gej[i1])); - ge_equals_gej(&ref, &gej[i2]); + CHECK(secp256k1_gej_eq_ge_var(&gej[i2], &ref)); } if (i2 == 0) { CHECK(secp256k1_ge_is_infinity(&ge[i2])); CHECK(secp256k1_gej_is_infinity(&gej[i2])); - ge_equals_gej(&ref, &gej[i1]); + CHECK(secp256k1_gej_eq_ge_var(&gej[i1], &ref)); } } } @@ -3819,7 +3816,7 @@ static void test_ge(void) { gej_shuffled[i] = gej[i]; } for (i = 0; i < 4 * runs + 1; i++) { - int swap = i + secp256k1_testrand_int(4 * runs + 1 - i); + int swap = i + testrand_int(4 * runs + 1 - i); if (swap != i) { secp256k1_gej t = gej_shuffled[i]; gej_shuffled[i] = gej_shuffled[swap]; @@ -3835,21 +3832,68 @@ static void test_ge(void) { /* Test batch gej -> ge conversion without known z ratios. */ { + secp256k1_ge *ge_set_all_var = (secp256k1_ge *)checked_malloc(&CTX->error_callback, (4 * runs + 1) * sizeof(secp256k1_ge)); secp256k1_ge *ge_set_all = (secp256k1_ge *)checked_malloc(&CTX->error_callback, (4 * runs + 1) * sizeof(secp256k1_ge)); - secp256k1_ge_set_all_gej_var(ge_set_all, gej, 4 * runs + 1); + secp256k1_ge_set_all_gej_var(&ge_set_all_var[0], &gej[0], 4 * runs + 1); for (i = 0; i < 4 * runs + 1; i++) { secp256k1_fe s; - random_fe_non_zero(&s); + testutil_random_fe_non_zero(&s); secp256k1_gej_rescale(&gej[i], &s); - ge_equals_gej(&ge_set_all[i], &gej[i]); + CHECK(secp256k1_gej_eq_ge_var(&gej[i], &ge_set_all_var[i])); } + + /* Skip infinity at &gej[0]. */ + secp256k1_ge_set_all_gej(&ge_set_all[1], &gej[1], 4 * runs); + for (i = 1; i < 4 * runs + 1; i++) { + secp256k1_fe s; + testutil_random_fe_non_zero(&s); + secp256k1_gej_rescale(&gej[i], &s); + CHECK(secp256k1_gej_eq_ge_var(&gej[i], &ge_set_all[i])); + CHECK(secp256k1_ge_eq_var(&ge_set_all_var[i], &ge_set_all[i])); + } + + /* Test with an array of length 1. */ + secp256k1_ge_set_all_gej_var(ge_set_all_var, &gej[1], 1); + secp256k1_ge_set_all_gej(ge_set_all, &gej[1], 1); + CHECK(secp256k1_gej_eq_ge_var(&gej[1], &ge_set_all_var[1])); + CHECK(secp256k1_gej_eq_ge_var(&gej[1], &ge_set_all[1])); + CHECK(secp256k1_ge_eq_var(&ge_set_all_var[1], &ge_set_all[1])); + + /* Test with an array of length 0. */ + secp256k1_ge_set_all_gej_var(NULL, NULL, 0); + secp256k1_ge_set_all_gej(NULL, NULL, 0); + + free(ge_set_all_var); free(ge_set_all); } + /* Test that all elements have X coordinates on the curve. */ + for (i = 1; i < 4 * runs + 1; i++) { + secp256k1_fe n; + CHECK(secp256k1_ge_x_on_curve_var(&ge[i].x)); + /* And the same holds after random rescaling. */ + secp256k1_fe_mul(&n, &zf, &ge[i].x); + CHECK(secp256k1_ge_x_frac_on_curve_var(&n, &zf)); + } + + /* Test correspondence of secp256k1_ge_x{,_frac}_on_curve_var with ge_set_xo. */ + { + secp256k1_fe n; + secp256k1_ge q; + int ret_on_curve, ret_frac_on_curve, ret_set_xo; + secp256k1_fe_mul(&n, &zf, &r); + ret_on_curve = secp256k1_ge_x_on_curve_var(&r); + ret_frac_on_curve = secp256k1_ge_x_frac_on_curve_var(&n, &zf); + ret_set_xo = secp256k1_ge_set_xo_var(&q, &r, 0); + CHECK(ret_on_curve == ret_frac_on_curve); + CHECK(ret_on_curve == ret_set_xo); + if (ret_set_xo) CHECK(secp256k1_fe_equal(&r, &q.x)); + } + /* Test batch gej -> ge conversion with many infinities. */ for (i = 0; i < 4 * runs + 1; i++) { int odd; - random_group_element_test(&ge[i]); + testutil_random_ge_test(&ge[i]); odd = secp256k1_fe_is_odd(&ge[i].x); CHECK(odd == 0 || odd == 1); /* randomly set half the points to infinity */ @@ -3862,7 +3906,7 @@ static void test_ge(void) { secp256k1_ge_set_all_gej_var(ge, gej, 4 * runs + 1); /* check result */ for (i = 0; i < 4 * runs + 1; i++) { - ge_equals_gej(&ge[i], &gej[i]); + CHECK(secp256k1_gej_eq_ge_var(&gej[i], &ge[i])); } /* Test batch gej -> ge conversion with all infinities. */ @@ -3880,13 +3924,13 @@ static void test_ge(void) { free(gej); } -static void test_intialized_inf(void) { +static void test_initialized_inf(void) { secp256k1_ge p; secp256k1_gej pj, npj, infj1, infj2, infj3; secp256k1_fe zinv; /* Test that adding P+(-P) results in a fully initialized infinity*/ - random_group_element_test(&p); + testutil_random_ge_test(&p); secp256k1_gej_set_ge(&pj, &p); secp256k1_gej_neg(&npj, &pj); @@ -3926,22 +3970,15 @@ static void test_add_neg_y_diff_x(void) { * which this test is a regression test for. * * These points were generated in sage as - * # secp256k1 params - * F = FiniteField (0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFC2F) - * C = EllipticCurve ([F (0), F (7)]) - * G = C.lift_x(0x79BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798) - * N = FiniteField(G.order()) * - * # endomorphism values (lambda is 1^{1/3} in N, beta is 1^{1/3} in F) - * x = polygen(N) - * lam = (1 - x^3).roots()[1][0] + * load("secp256k1_params.sage") * * # random "bad pair" * P = C.random_element() - * Q = -int(lam) * P - * print " P: %x %x" % P.xy() - * print " Q: %x %x" % Q.xy() - * print "P + Q: %x %x" % (P + Q).xy() + * Q = -int(LAMBDA) * P + * print(" P: %x %x" % P.xy()) + * print(" Q: %x %x" % Q.xy()) + * print("P + Q: %x %x" % (P + Q).xy()) */ secp256k1_gej aj = SECP256K1_GEJ_CONST( 0x8d24cd95, 0x0a355af1, 0x3c543505, 0x44238d30, @@ -3968,15 +4005,43 @@ static void test_add_neg_y_diff_x(void) { secp256k1_gej_add_var(&resj, &aj, &bj, NULL); secp256k1_ge_set_gej(&res, &resj); - ge_equals_gej(&res, &sumj); + CHECK(secp256k1_gej_eq_ge_var(&sumj, &res)); secp256k1_gej_add_ge(&resj, &aj, &b); secp256k1_ge_set_gej(&res, &resj); - ge_equals_gej(&res, &sumj); + CHECK(secp256k1_gej_eq_ge_var(&sumj, &res)); secp256k1_gej_add_ge_var(&resj, &aj, &b, NULL); secp256k1_ge_set_gej(&res, &resj); - ge_equals_gej(&res, &sumj); + CHECK(secp256k1_gej_eq_ge_var(&sumj, &res)); +} + +static void test_ge_bytes(void) { + int i; + + for (i = 0; i < COUNT + 1; i++) { + unsigned char buf[64]; + secp256k1_ge p, q; + + if (i == 0) { + secp256k1_ge_set_infinity(&p); + } else { + testutil_random_ge_test(&p); + } + + if (!secp256k1_ge_is_infinity(&p)) { + secp256k1_ge_to_bytes(buf, &p); + + secp256k1_ge_from_bytes(&q, buf); + CHECK(secp256k1_ge_eq_var(&p, &q)); + + secp256k1_ge_from_bytes_ext(&q, buf); + CHECK(secp256k1_ge_eq_var(&p, &q)); + } + secp256k1_ge_to_bytes_ext(buf, &p); + secp256k1_ge_from_bytes_ext(&q, buf); + CHECK(secp256k1_ge_eq_var(&p, &q)); + } } static void run_ge(void) { @@ -3985,7 +4050,8 @@ static void run_ge(void) { test_ge(); } test_add_neg_y_diff_x(); - test_intialized_inf(); + test_initialized_inf(); + test_ge_bytes(); } static void test_gej_cmov(const secp256k1_gej *a, const secp256k1_gej *b) { @@ -4006,14 +4072,14 @@ static void run_gej(void) { secp256k1_gej_set_infinity(&b); test_gej_cmov(&a, &b); - random_gej_test(&a); + testutil_random_gej_test(&a); test_gej_cmov(&a, &b); test_gej_cmov(&b, &a); b = a; test_gej_cmov(&a, &b); - random_gej_test(&b); + testutil_random_gej_test(&b); test_gej_cmov(&a, &b); test_gej_cmov(&b, &a); } @@ -4021,22 +4087,19 @@ static void run_gej(void) { /* Tests for secp256k1_gej_eq_var */ for (i = 0; i < COUNT; i++) { secp256k1_fe fe; - random_gej_test(&a); - random_gej_test(&b); + testutil_random_gej_test(&a); + testutil_random_gej_test(&b); CHECK(!secp256k1_gej_eq_var(&a, &b)); b = a; - random_field_element_test(&fe); - if (secp256k1_fe_is_zero(&fe)) { - continue; - } + testutil_random_fe_non_zero_test(&fe); secp256k1_gej_rescale(&a, &fe); CHECK(secp256k1_gej_eq_var(&a, &b)); } } static void test_ec_combine(void) { - secp256k1_scalar sum = SECP256K1_SCALAR_CONST(0, 0, 0, 0, 0, 0, 0, 0); + secp256k1_scalar sum = secp256k1_scalar_zero; secp256k1_pubkey data[6]; const secp256k1_pubkey* d[6]; secp256k1_pubkey sd; @@ -4046,7 +4109,7 @@ static void test_ec_combine(void) { int i; for (i = 1; i <= 6; i++) { secp256k1_scalar s; - random_scalar_order_test(&s); + testutil_random_scalar_order_test(&s); secp256k1_scalar_add(&sum, &sum, &s); secp256k1_ecmult_gen(&CTX->ecmult_gen_ctx, &Qj, &s); secp256k1_ge_set_gej(&Q, &Qj); @@ -4093,8 +4156,8 @@ static void test_group_decompress(const secp256k1_fe* x) { CHECK(!ge_odd.infinity); /* Check that the x coordinates check out. */ - CHECK(secp256k1_fe_equal_var(&ge_even.x, x)); - CHECK(secp256k1_fe_equal_var(&ge_odd.x, x)); + CHECK(secp256k1_fe_equal(&ge_even.x, x)); + CHECK(secp256k1_fe_equal(&ge_odd.x, x)); /* Check odd/even Y in ge_odd, ge_even. */ CHECK(secp256k1_fe_is_odd(&ge_odd.y)); @@ -4106,7 +4169,7 @@ static void run_group_decompress(void) { int i; for (i = 0; i < COUNT * 4; i++) { secp256k1_fe fe; - random_fe_test(&fe); + testutil_random_fe_test(&fe); test_group_decompress(&fe); } } @@ -4146,18 +4209,18 @@ static void test_pre_g_table(const secp256k1_ge_storage * pre_g, size_t n) { secp256k1_ge_from_storage(&q, &pre_g[i]); CHECK(secp256k1_ge_is_valid_var(&q)); - secp256k1_fe_negate(&dqx, &q.x, 1); secp256k1_fe_add(&dqx, &gg.x); secp256k1_fe_normalize_weak(&dqx); - dqy = q.y; secp256k1_fe_add(&dqy, &gg.y); secp256k1_fe_normalize_weak(&dqy); + secp256k1_fe_negate(&dqx, &q.x, 1); secp256k1_fe_add(&dqx, &gg.x); + dqy = q.y; secp256k1_fe_add(&dqy, &gg.y); /* Check that -q is not equal to gg */ CHECK(!secp256k1_fe_normalizes_to_zero_var(&dqx) || !secp256k1_fe_normalizes_to_zero_var(&dqy)); /* Check that -q is not equal to p */ - CHECK(!secp256k1_fe_equal_var(&dpx, &dqx) || !secp256k1_fe_equal_var(&dpy, &dqy)); + CHECK(!secp256k1_fe_equal(&dpx, &dqx) || !secp256k1_fe_equal(&dpy, &dqy)); /* Check that p, -q and gg are colinear */ secp256k1_fe_mul(&dpx, &dpx, &dqy); secp256k1_fe_mul(&dpy, &dpy, &dqx); - CHECK(secp256k1_fe_equal_var(&dpx, &dpy)); + CHECK(secp256k1_fe_equal(&dpx, &dpy)); p = q; } @@ -4208,8 +4271,8 @@ static void run_ecmult_chain(void) { static const secp256k1_scalar xf = SECP256K1_SCALAR_CONST(0, 0, 0, 0, 0, 0, 0, 0x1337); static const secp256k1_scalar gf = SECP256K1_SCALAR_CONST(0, 0, 0, 0, 0, 0, 0, 0x7113); /* accumulators with the resulting coefficients to A and G */ - secp256k1_scalar ae = SECP256K1_SCALAR_CONST(0, 0, 0, 0, 0, 0, 0, 1); - secp256k1_scalar ge = SECP256K1_SCALAR_CONST(0, 0, 0, 0, 0, 0, 0, 0); + secp256k1_scalar ae = secp256k1_scalar_one; + secp256k1_scalar ge = secp256k1_scalar_zero; /* actual points */ secp256k1_gej x; secp256k1_gej x2; @@ -4250,13 +4313,9 @@ static void test_point_times_order(const secp256k1_gej *point) { /* X * (point + G) + (order-X) * (pointer + G) = 0 */ secp256k1_scalar x; secp256k1_scalar nx; - secp256k1_scalar zero = SECP256K1_SCALAR_CONST(0, 0, 0, 0, 0, 0, 0, 0); - secp256k1_scalar one = SECP256K1_SCALAR_CONST(0, 0, 0, 0, 0, 0, 0, 1); secp256k1_gej res1, res2; secp256k1_ge res3; - unsigned char pub[65]; - size_t psize = 65; - random_scalar_order_test(&x); + testutil_random_scalar_order_test(&x); secp256k1_scalar_negate(&nx, &x); secp256k1_ecmult(&res1, point, &x, &x); /* calc res1 = x * point + x * G; */ secp256k1_ecmult(&res2, point, &nx, &nx); /* calc res2 = (order - x) * point + (order - x) * G; */ @@ -4265,19 +4324,16 @@ static void test_point_times_order(const secp256k1_gej *point) { secp256k1_ge_set_gej(&res3, &res1); CHECK(secp256k1_ge_is_infinity(&res3)); CHECK(secp256k1_ge_is_valid_var(&res3) == 0); - CHECK(secp256k1_eckey_pubkey_serialize(&res3, pub, &psize, 0) == 0); - psize = 65; - CHECK(secp256k1_eckey_pubkey_serialize(&res3, pub, &psize, 1) == 0); /* check zero/one edge cases */ - secp256k1_ecmult(&res1, point, &zero, &zero); + secp256k1_ecmult(&res1, point, &secp256k1_scalar_zero, &secp256k1_scalar_zero); secp256k1_ge_set_gej(&res3, &res1); CHECK(secp256k1_ge_is_infinity(&res3)); - secp256k1_ecmult(&res1, point, &one, &zero); + secp256k1_ecmult(&res1, point, &secp256k1_scalar_one, &secp256k1_scalar_zero); secp256k1_ge_set_gej(&res3, &res1); - ge_equals_gej(&res3, point); - secp256k1_ecmult(&res1, point, &zero, &one); + CHECK(secp256k1_gej_eq_ge_var(point, &res3)); + secp256k1_ecmult(&res1, point, &secp256k1_scalar_zero, &secp256k1_scalar_one); secp256k1_ge_set_gej(&res3, &res1); - ge_equals_ge(&res3, &secp256k1_ge_const_g); + CHECK(secp256k1_ge_eq_var(&secp256k1_ge_const_g, &res3)); } /* These scalars reach large (in absolute value) outputs when fed to secp256k1_scalar_split_lambda. @@ -4315,16 +4371,15 @@ static void test_ecmult_target(const secp256k1_scalar* target, int mode) { secp256k1_scalar n1, n2; secp256k1_ge p; secp256k1_gej pj, p1j, p2j, ptj; - static const secp256k1_scalar zero = SECP256K1_SCALAR_CONST(0, 0, 0, 0, 0, 0, 0, 0); /* Generate random n1,n2 such that n1+n2 = -target. */ - random_scalar_order_test(&n1); + testutil_random_scalar_order_test(&n1); secp256k1_scalar_add(&n2, &n1, target); secp256k1_scalar_negate(&n2, &n2); /* Generate a random input point. */ if (mode != 0) { - random_group_element_test(&p); + testutil_random_ge_test(&p); secp256k1_gej_set_ge(&pj, &p); } @@ -4334,13 +4389,13 @@ static void test_ecmult_target(const secp256k1_scalar* target, int mode) { secp256k1_ecmult_gen(&CTX->ecmult_gen_ctx, &p2j, &n2); secp256k1_ecmult_gen(&CTX->ecmult_gen_ctx, &ptj, target); } else if (mode == 1) { - secp256k1_ecmult(&p1j, &pj, &n1, &zero); - secp256k1_ecmult(&p2j, &pj, &n2, &zero); - secp256k1_ecmult(&ptj, &pj, target, &zero); + secp256k1_ecmult(&p1j, &pj, &n1, &secp256k1_scalar_zero); + secp256k1_ecmult(&p2j, &pj, &n2, &secp256k1_scalar_zero); + secp256k1_ecmult(&ptj, &pj, target, &secp256k1_scalar_zero); } else { - secp256k1_ecmult_const(&p1j, &p, &n1, 256); - secp256k1_ecmult_const(&p2j, &p, &n2, 256); - secp256k1_ecmult_const(&ptj, &p, target, 256); + secp256k1_ecmult_const(&p1j, &p, &n1); + secp256k1_ecmult_const(&p2j, &p, &n2); + secp256k1_ecmult_const(&ptj, &p, target); } /* Add them all up: n1*P + n2*P + target*P = (n1+n2+target)*P = (n1+n1-n1-n2)*P = 0. */ @@ -4379,7 +4434,7 @@ static void run_point_times_order(void) { secp256k1_fe_sqr(&x, &x); } secp256k1_fe_normalize_var(&x); - CHECK(secp256k1_fe_equal_var(&x, &xr)); + CHECK(secp256k1_fe_equal(&x, &xr)); } static void ecmult_const_random_mult(void) { @@ -4403,10 +4458,10 @@ static void ecmult_const_random_mult(void) { 0xb84e4e1b, 0xfb77e21f, 0x96baae2a, 0x63dec956 ); secp256k1_gej b; - secp256k1_ecmult_const(&b, &a, &xn, 256); + secp256k1_ecmult_const(&b, &a, &xn); CHECK(secp256k1_ge_is_valid_var(&a)); - ge_equals_gej(&expected_b, &b); + CHECK(secp256k1_gej_eq_ge_var(&b, &expected_b)); } static void ecmult_const_commutativity(void) { @@ -4416,40 +4471,142 @@ static void ecmult_const_commutativity(void) { secp256k1_gej res2; secp256k1_ge mid1; secp256k1_ge mid2; - random_scalar_order_test(&a); - random_scalar_order_test(&b); + testutil_random_scalar_order_test(&a); + testutil_random_scalar_order_test(&b); - secp256k1_ecmult_const(&res1, &secp256k1_ge_const_g, &a, 256); - secp256k1_ecmult_const(&res2, &secp256k1_ge_const_g, &b, 256); + secp256k1_ecmult_const(&res1, &secp256k1_ge_const_g, &a); + secp256k1_ecmult_const(&res2, &secp256k1_ge_const_g, &b); secp256k1_ge_set_gej(&mid1, &res1); secp256k1_ge_set_gej(&mid2, &res2); - secp256k1_ecmult_const(&res1, &mid1, &b, 256); - secp256k1_ecmult_const(&res2, &mid2, &a, 256); + secp256k1_ecmult_const(&res1, &mid1, &b); + secp256k1_ecmult_const(&res2, &mid2, &a); secp256k1_ge_set_gej(&mid1, &res1); secp256k1_ge_set_gej(&mid2, &res2); - ge_equals_ge(&mid1, &mid2); + CHECK(secp256k1_ge_eq_var(&mid1, &mid2)); } static void ecmult_const_mult_zero_one(void) { - secp256k1_scalar zero = SECP256K1_SCALAR_CONST(0, 0, 0, 0, 0, 0, 0, 0); - secp256k1_scalar one = SECP256K1_SCALAR_CONST(0, 0, 0, 0, 0, 0, 0, 1); + secp256k1_scalar s; secp256k1_scalar negone; secp256k1_gej res1; secp256k1_ge res2; secp256k1_ge point; - secp256k1_scalar_negate(&negone, &one); + secp256k1_ge inf; - random_group_element_test(&point); - secp256k1_ecmult_const(&res1, &point, &zero, 3); - secp256k1_ge_set_gej(&res2, &res1); - CHECK(secp256k1_ge_is_infinity(&res2)); - secp256k1_ecmult_const(&res1, &point, &one, 2); + testutil_random_scalar_order_test(&s); + secp256k1_scalar_negate(&negone, &secp256k1_scalar_one); + testutil_random_ge_test(&point); + secp256k1_ge_set_infinity(&inf); + + /* 0*point */ + secp256k1_ecmult_const(&res1, &point, &secp256k1_scalar_zero); + CHECK(secp256k1_gej_is_infinity(&res1)); + + /* s*inf */ + secp256k1_ecmult_const(&res1, &inf, &s); + CHECK(secp256k1_gej_is_infinity(&res1)); + + /* 1*point */ + secp256k1_ecmult_const(&res1, &point, &secp256k1_scalar_one); secp256k1_ge_set_gej(&res2, &res1); - ge_equals_ge(&res2, &point); - secp256k1_ecmult_const(&res1, &point, &negone, 256); + CHECK(secp256k1_ge_eq_var(&res2, &point)); + + /* -1*point */ + secp256k1_ecmult_const(&res1, &point, &negone); secp256k1_gej_neg(&res1, &res1); secp256k1_ge_set_gej(&res2, &res1); - ge_equals_ge(&res2, &point); + CHECK(secp256k1_ge_eq_var(&res2, &point)); +} + +static void ecmult_const_check_result(const secp256k1_ge *A, const secp256k1_scalar* q, const secp256k1_gej *res) { + secp256k1_gej pointj, res2j; + secp256k1_ge res2; + secp256k1_gej_set_ge(&pointj, A); + secp256k1_ecmult(&res2j, &pointj, q, &secp256k1_scalar_zero); + secp256k1_ge_set_gej(&res2, &res2j); + CHECK(secp256k1_gej_eq_ge_var(res, &res2)); +} + +static void ecmult_const_edges(void) { + secp256k1_scalar q; + secp256k1_ge point; + secp256k1_gej res; + size_t i; + size_t cases = 1 + sizeof(scalars_near_split_bounds) / sizeof(scalars_near_split_bounds[0]); + + /* We are trying to reach the following edge cases (variables are defined as + * in ecmult_const_impl.h): + * 1. i = 0: s = 0 <=> q = -K + * 2. i > 0: v1, v2 large values + * <=> s1, s2 large values + * <=> s = scalars_near_split_bounds[i] + * <=> q = 2*scalars_near_split_bounds[i] - K + */ + for (i = 0; i < cases; ++i) { + secp256k1_scalar_negate(&q, &secp256k1_ecmult_const_K); + if (i > 0) { + secp256k1_scalar_add(&q, &q, &scalars_near_split_bounds[i - 1]); + secp256k1_scalar_add(&q, &q, &scalars_near_split_bounds[i - 1]); + } + testutil_random_ge_test(&point); + secp256k1_ecmult_const(&res, &point, &q); + ecmult_const_check_result(&point, &q, &res); + } +} + +static void ecmult_const_mult_xonly(void) { + int i; + + /* Test correspondence between secp256k1_ecmult_const and secp256k1_ecmult_const_xonly. */ + for (i = 0; i < 2*COUNT; ++i) { + secp256k1_ge base; + secp256k1_gej basej, resj; + secp256k1_fe n, d, resx, v; + secp256k1_scalar q; + int res; + /* Random base point. */ + testutil_random_ge_test(&base); + /* Random scalar to multiply it with. */ + testutil_random_scalar_order_test(&q); + /* If i is odd, n=d*base.x for random non-zero d */ + if (i & 1) { + testutil_random_fe_non_zero_test(&d); + secp256k1_fe_mul(&n, &base.x, &d); + } else { + n = base.x; + } + /* Perform x-only multiplication. */ + res = secp256k1_ecmult_const_xonly(&resx, &n, (i & 1) ? &d : NULL, &q, i & 2); + CHECK(res); + /* Perform normal multiplication. */ + secp256k1_gej_set_ge(&basej, &base); + secp256k1_ecmult(&resj, &basej, &q, NULL); + /* Check that resj's X coordinate corresponds with resx. */ + secp256k1_fe_sqr(&v, &resj.z); + secp256k1_fe_mul(&v, &v, &resx); + CHECK(fe_equal(&v, &resj.x)); + } + + /* Test that secp256k1_ecmult_const_xonly correctly rejects X coordinates not on curve. */ + for (i = 0; i < 2*COUNT; ++i) { + secp256k1_fe x, n, d, r; + int res; + secp256k1_scalar q; + testutil_random_scalar_order_test(&q); + /* Generate random X coordinate not on the curve. */ + do { + testutil_random_fe_test(&x); + } while (secp256k1_ge_x_on_curve_var(&x)); + /* If i is odd, n=d*x for random non-zero d. */ + if (i & 1) { + testutil_random_fe_non_zero_test(&d); + secp256k1_fe_mul(&n, &x, &d); + } else { + n = x; + } + res = secp256k1_ecmult_const_xonly(&r, &n, (i & 1) ? &d : NULL, &q, 0); + CHECK(res == 0); + } } static void ecmult_const_chain_multiply(void) { @@ -4472,17 +4629,19 @@ static void ecmult_const_chain_multiply(void) { for (i = 0; i < 100; ++i) { secp256k1_ge tmp; secp256k1_ge_set_gej(&tmp, &point); - secp256k1_ecmult_const(&point, &tmp, &scalar, 256); + secp256k1_ecmult_const(&point, &tmp, &scalar); } secp256k1_ge_set_gej(&res, &point); - ge_equals_gej(&res, &expected_point); + CHECK(secp256k1_gej_eq_ge_var(&expected_point, &res)); } static void run_ecmult_const_tests(void) { ecmult_const_mult_zero_one(); + ecmult_const_edges(); ecmult_const_random_mult(); ecmult_const_commutativity(); ecmult_const_chain_multiply(); + ecmult_const_mult_xonly(); } typedef struct { @@ -4507,7 +4666,6 @@ static int ecmult_multi_false_callback(secp256k1_scalar *sc, secp256k1_ge *pt, s static void test_ecmult_multi(secp256k1_scratch *scratch, secp256k1_ecmult_multi_func ecmult_multi) { int ncount; - secp256k1_scalar szero; secp256k1_scalar sc[32]; secp256k1_ge pt[32]; secp256k1_gej r; @@ -4516,7 +4674,6 @@ static void test_ecmult_multi(secp256k1_scratch *scratch, secp256k1_ecmult_multi data.sc = sc; data.pt = pt; - secp256k1_scalar_set_int(&szero, 0); /* No points to multiply */ CHECK(ecmult_multi(&CTX->error_callback, scratch, &r, NULL, ecmult_multi_callback, &data, 0)); @@ -4525,30 +4682,30 @@ static void test_ecmult_multi(secp256k1_scratch *scratch, secp256k1_ecmult_multi for (ncount = 0; ncount < COUNT; ncount++) { secp256k1_ge ptg; secp256k1_gej ptgj; - random_scalar_order(&sc[0]); - random_scalar_order(&sc[1]); + testutil_random_scalar_order(&sc[0]); + testutil_random_scalar_order(&sc[1]); - random_group_element_test(&ptg); + testutil_random_ge_test(&ptg); secp256k1_gej_set_ge(&ptgj, &ptg); pt[0] = ptg; pt[1] = secp256k1_ge_const_g; /* only G scalar */ - secp256k1_ecmult(&r2, &ptgj, &szero, &sc[0]); + secp256k1_ecmult(&r2, &ptgj, &secp256k1_scalar_zero, &sc[0]); CHECK(ecmult_multi(&CTX->error_callback, scratch, &r, &sc[0], ecmult_multi_callback, &data, 0)); CHECK(secp256k1_gej_eq_var(&r, &r2)); /* 1-point */ - secp256k1_ecmult(&r2, &ptgj, &sc[0], &szero); - CHECK(ecmult_multi(&CTX->error_callback, scratch, &r, &szero, ecmult_multi_callback, &data, 1)); + secp256k1_ecmult(&r2, &ptgj, &sc[0], &secp256k1_scalar_zero); + CHECK(ecmult_multi(&CTX->error_callback, scratch, &r, &secp256k1_scalar_zero, ecmult_multi_callback, &data, 1)); CHECK(secp256k1_gej_eq_var(&r, &r2)); /* Try to multiply 1 point, but callback returns false */ - CHECK(!ecmult_multi(&CTX->error_callback, scratch, &r, &szero, ecmult_multi_false_callback, &data, 1)); + CHECK(!ecmult_multi(&CTX->error_callback, scratch, &r, &secp256k1_scalar_zero, ecmult_multi_false_callback, &data, 1)); /* 2-point */ secp256k1_ecmult(&r2, &ptgj, &sc[0], &sc[1]); - CHECK(ecmult_multi(&CTX->error_callback, scratch, &r, &szero, ecmult_multi_callback, &data, 2)); + CHECK(ecmult_multi(&CTX->error_callback, scratch, &r, &secp256k1_scalar_zero, ecmult_multi_callback, &data, 2)); CHECK(secp256k1_gej_eq_var(&r, &r2)); /* 2-point with G scalar */ @@ -4565,38 +4722,38 @@ static void test_ecmult_multi(secp256k1_scratch *scratch, secp256k1_ecmult_multi for (j = 0; j < 3; j++) { for (i = 0; i < 32; i++) { - random_scalar_order(&sc[i]); + testutil_random_scalar_order(&sc[i]); secp256k1_ge_set_infinity(&pt[i]); } - CHECK(ecmult_multi(&CTX->error_callback, scratch, &r, &szero, ecmult_multi_callback, &data, sizes[j])); + CHECK(ecmult_multi(&CTX->error_callback, scratch, &r, &secp256k1_scalar_zero, ecmult_multi_callback, &data, sizes[j])); CHECK(secp256k1_gej_is_infinity(&r)); } for (j = 0; j < 3; j++) { for (i = 0; i < 32; i++) { - random_group_element_test(&ptg); + testutil_random_ge_test(&ptg); pt[i] = ptg; secp256k1_scalar_set_int(&sc[i], 0); } - CHECK(ecmult_multi(&CTX->error_callback, scratch, &r, &szero, ecmult_multi_callback, &data, sizes[j])); + CHECK(ecmult_multi(&CTX->error_callback, scratch, &r, &secp256k1_scalar_zero, ecmult_multi_callback, &data, sizes[j])); CHECK(secp256k1_gej_is_infinity(&r)); } for (j = 0; j < 3; j++) { - random_group_element_test(&ptg); + testutil_random_ge_test(&ptg); for (i = 0; i < 16; i++) { - random_scalar_order(&sc[2*i]); + testutil_random_scalar_order(&sc[2*i]); secp256k1_scalar_negate(&sc[2*i + 1], &sc[2*i]); pt[2 * i] = ptg; pt[2 * i + 1] = ptg; } - CHECK(ecmult_multi(&CTX->error_callback, scratch, &r, &szero, ecmult_multi_callback, &data, sizes[j])); + CHECK(ecmult_multi(&CTX->error_callback, scratch, &r, &secp256k1_scalar_zero, ecmult_multi_callback, &data, sizes[j])); CHECK(secp256k1_gej_is_infinity(&r)); - random_scalar_order(&sc[0]); + testutil_random_scalar_order(&sc[0]); for (i = 0; i < 16; i++) { - random_group_element_test(&ptg); + testutil_random_ge_test(&ptg); sc[2*i] = sc[0]; sc[2*i+1] = sc[0]; @@ -4604,22 +4761,22 @@ static void test_ecmult_multi(secp256k1_scratch *scratch, secp256k1_ecmult_multi secp256k1_ge_neg(&pt[2*i+1], &pt[2*i]); } - CHECK(ecmult_multi(&CTX->error_callback, scratch, &r, &szero, ecmult_multi_callback, &data, sizes[j])); + CHECK(ecmult_multi(&CTX->error_callback, scratch, &r, &secp256k1_scalar_zero, ecmult_multi_callback, &data, sizes[j])); CHECK(secp256k1_gej_is_infinity(&r)); } - random_group_element_test(&ptg); + testutil_random_ge_test(&ptg); secp256k1_scalar_set_int(&sc[0], 0); pt[0] = ptg; for (i = 1; i < 32; i++) { pt[i] = ptg; - random_scalar_order(&sc[i]); + testutil_random_scalar_order(&sc[i]); secp256k1_scalar_add(&sc[0], &sc[0], &sc[i]); secp256k1_scalar_negate(&sc[i], &sc[i]); } - CHECK(ecmult_multi(&CTX->error_callback, scratch, &r, &szero, ecmult_multi_callback, &data, 32)); + CHECK(ecmult_multi(&CTX->error_callback, scratch, &r, &secp256k1_scalar_zero, ecmult_multi_callback, &data, 32)); CHECK(secp256k1_gej_is_infinity(&r)); } @@ -4628,17 +4785,17 @@ static void test_ecmult_multi(secp256k1_scratch *scratch, secp256k1_ecmult_multi size_t i; secp256k1_gej_set_infinity(&r); - random_scalar_order(&sc[0]); + testutil_random_scalar_order(&sc[0]); for (i = 0; i < 20; i++) { secp256k1_ge ptg; sc[i] = sc[0]; - random_group_element_test(&ptg); + testutil_random_ge_test(&ptg); pt[i] = ptg; secp256k1_gej_add_ge_var(&r, &r, &pt[i], NULL); } - secp256k1_ecmult(&r2, &r, &sc[0], &szero); - CHECK(ecmult_multi(&CTX->error_callback, scratch, &r, &szero, ecmult_multi_callback, &data, 20)); + secp256k1_ecmult(&r2, &r, &sc[0], &secp256k1_scalar_zero); + CHECK(ecmult_multi(&CTX->error_callback, scratch, &r, &secp256k1_scalar_zero, ecmult_multi_callback, &data, 20)); CHECK(secp256k1_gej_eq_var(&r, &r2)); } @@ -4650,33 +4807,33 @@ static void test_ecmult_multi(secp256k1_scratch *scratch, secp256k1_ecmult_multi secp256k1_scalar rs; secp256k1_scalar_set_int(&rs, 0); - random_group_element_test(&ptg); + testutil_random_ge_test(&ptg); for (i = 0; i < 20; i++) { - random_scalar_order(&sc[i]); + testutil_random_scalar_order(&sc[i]); pt[i] = ptg; secp256k1_scalar_add(&rs, &rs, &sc[i]); } secp256k1_gej_set_ge(&p0j, &pt[0]); - secp256k1_ecmult(&r2, &p0j, &rs, &szero); - CHECK(ecmult_multi(&CTX->error_callback, scratch, &r, &szero, ecmult_multi_callback, &data, 20)); + secp256k1_ecmult(&r2, &p0j, &rs, &secp256k1_scalar_zero); + CHECK(ecmult_multi(&CTX->error_callback, scratch, &r, &secp256k1_scalar_zero, ecmult_multi_callback, &data, 20)); CHECK(secp256k1_gej_eq_var(&r, &r2)); } /* Sanity check that zero scalars don't cause problems */ for (ncount = 0; ncount < 20; ncount++) { - random_scalar_order(&sc[ncount]); - random_group_element_test(&pt[ncount]); - } - - secp256k1_scalar_clear(&sc[0]); - CHECK(ecmult_multi(&CTX->error_callback, scratch, &r, &szero, ecmult_multi_callback, &data, 20)); - secp256k1_scalar_clear(&sc[1]); - secp256k1_scalar_clear(&sc[2]); - secp256k1_scalar_clear(&sc[3]); - secp256k1_scalar_clear(&sc[4]); - CHECK(ecmult_multi(&CTX->error_callback, scratch, &r, &szero, ecmult_multi_callback, &data, 6)); - CHECK(ecmult_multi(&CTX->error_callback, scratch, &r, &szero, ecmult_multi_callback, &data, 5)); + testutil_random_scalar_order(&sc[ncount]); + testutil_random_ge_test(&pt[ncount]); + } + + secp256k1_scalar_set_int(&sc[0], 0); + CHECK(ecmult_multi(&CTX->error_callback, scratch, &r, &secp256k1_scalar_zero, ecmult_multi_callback, &data, 20)); + secp256k1_scalar_set_int(&sc[1], 0); + secp256k1_scalar_set_int(&sc[2], 0); + secp256k1_scalar_set_int(&sc[3], 0); + secp256k1_scalar_set_int(&sc[4], 0); + CHECK(ecmult_multi(&CTX->error_callback, scratch, &r, &secp256k1_scalar_zero, ecmult_multi_callback, &data, 6)); + CHECK(ecmult_multi(&CTX->error_callback, scratch, &r, &secp256k1_scalar_zero, ecmult_multi_callback, &data, 5)); CHECK(secp256k1_gej_is_infinity(&r)); /* Run through s0*(t0*P) + s1*(t1*P) exhaustively for many small values of s0, s1, t0, t1 */ @@ -4687,7 +4844,7 @@ static void test_ecmult_multi(secp256k1_scratch *scratch, secp256k1_ecmult_multi secp256k1_ge ptg; secp256k1_gej ptgj; - random_group_element_test(&ptg); + testutil_random_ge_test(&ptg); secp256k1_gej_set_ge(&ptgj, &ptg); for(t0i = 0; t0i < TOP; t0i++) { @@ -4700,8 +4857,8 @@ static void test_ecmult_multi(secp256k1_scratch *scratch, secp256k1_ecmult_multi secp256k1_scalar_set_int(&t1, (t1i + 1) / 2); secp256k1_scalar_cond_negate(&t1, t1i & 1); - secp256k1_ecmult(&t0p, &ptgj, &t0, &szero); - secp256k1_ecmult(&t1p, &ptgj, &t1, &szero); + secp256k1_ecmult(&t0p, &ptgj, &t0, &secp256k1_scalar_zero); + secp256k1_ecmult(&t1p, &ptgj, &t1, &secp256k1_scalar_zero); for(s0i = 0; s0i < TOP; s0i++) { for(s1i = 0; s1i < TOP; s1i++) { @@ -4720,8 +4877,8 @@ static void test_ecmult_multi(secp256k1_scratch *scratch, secp256k1_ecmult_multi secp256k1_scalar_mul(&tmp2, &t1, &sc[1]); secp256k1_scalar_add(&tmp1, &tmp1, &tmp2); - secp256k1_ecmult(&expected, &ptgj, &tmp1, &szero); - CHECK(ecmult_multi(&CTX->error_callback, scratch, &actual, &szero, ecmult_multi_callback, &data, 2)); + secp256k1_ecmult(&expected, &ptgj, &tmp1, &secp256k1_scalar_zero); + CHECK(ecmult_multi(&CTX->error_callback, scratch, &actual, &secp256k1_scalar_zero, ecmult_multi_callback, &data, 2)); CHECK(secp256k1_gej_eq_var(&actual, &expected)); } } @@ -4744,7 +4901,7 @@ static int test_ecmult_multi_random(secp256k1_scratch *scratch) { * scalars[0..filled-1] and gejs[0..filled-1] are the scalars and points * which form its normal inputs. */ int filled = 0; - secp256k1_scalar g_scalar = SECP256K1_SCALAR_CONST(0, 0, 0, 0, 0, 0, 0, 0); + secp256k1_scalar g_scalar = secp256k1_scalar_zero; secp256k1_scalar scalars[128]; secp256k1_gej gejs[128]; /* The expected result, and the computed result. */ @@ -4758,29 +4915,29 @@ static int test_ecmult_multi_random(secp256k1_scratch *scratch) { int i; /* Which multiplication function to use */ - int fn = secp256k1_testrand_int(3); + int fn = testrand_int(3); secp256k1_ecmult_multi_func ecmult_multi = fn == 0 ? secp256k1_ecmult_multi_var : fn == 1 ? secp256k1_ecmult_strauss_batch_single : secp256k1_ecmult_pippenger_batch_single; /* Simulate exponentially distributed num. */ - int num_bits = 2 + secp256k1_testrand_int(6); + int num_bits = 2 + testrand_int(6); /* Number of (scalar, point) inputs (excluding g). */ - int num = secp256k1_testrand_int((1 << num_bits) + 1); + int num = testrand_int((1 << num_bits) + 1); /* Number of those which are nonzero. */ - int num_nonzero = secp256k1_testrand_int(num + 1); + int num_nonzero = testrand_int(num + 1); /* Whether we're aiming to create an input with nonzero expected result. */ - int nonzero_result = secp256k1_testrand_bits(1); + int nonzero_result = testrand_bits(1); /* Whether we will provide nonzero g multiplicand. In some cases our hand * is forced here based on num_nonzero and nonzero_result. */ int g_nonzero = num_nonzero == 0 ? nonzero_result : num_nonzero == 1 && !nonzero_result ? 1 : - (int)secp256k1_testrand_bits(1); + (int)testrand_bits(1); /* Which g_scalar pointer to pass into ecmult_multi(). */ - const secp256k1_scalar* g_scalar_ptr = (g_nonzero || secp256k1_testrand_bits(1)) ? &g_scalar : NULL; + const secp256k1_scalar* g_scalar_ptr = (g_nonzero || testrand_bits(1)) ? &g_scalar : NULL; /* How many EC multiplications were performed in this function. */ int mults = 0; /* How many randomization steps to apply to the input list. */ - int rands = (int)secp256k1_testrand_bits(3); + int rands = (int)testrand_bits(3); if (rands > num_nonzero) rands = num_nonzero; secp256k1_gej_set_infinity(&expected); @@ -4789,11 +4946,11 @@ static int test_ecmult_multi_random(secp256k1_scratch *scratch) { if (g_nonzero) { /* If g_nonzero, set g_scalar to nonzero value r. */ - random_scalar_order_test(&g_scalar); + testutil_random_scalar_order_test(&g_scalar); if (!nonzero_result) { /* If expected=0 is desired, add a (a*r, -(1/a)*g) term to compensate. */ CHECK(num_nonzero > filled); - random_scalar_order_test(&sc_tmp); + testutil_random_scalar_order_test(&sc_tmp); secp256k1_scalar_mul(&scalars[filled], &sc_tmp, &g_scalar); secp256k1_scalar_inverse_var(&sc_tmp, &sc_tmp); secp256k1_scalar_negate(&sc_tmp, &sc_tmp); @@ -4805,8 +4962,8 @@ static int test_ecmult_multi_random(secp256k1_scratch *scratch) { if (nonzero_result && filled < num_nonzero) { /* If a nonzero result is desired, and there is space, add a random nonzero term. */ - random_scalar_order_test(&scalars[filled]); - random_group_element_test(&ge_tmp); + testutil_random_scalar_order_test(&scalars[filled]); + testutil_random_ge_test(&ge_tmp); secp256k1_gej_set_ge(&gejs[filled], &ge_tmp); ++filled; } @@ -4825,12 +4982,12 @@ static int test_ecmult_multi_random(secp256k1_scratch *scratch) { /* Add entries to scalars,gejs so that there are num of them. All the added entries * either have scalar=0 or point=infinity, so these do not change the expected result. */ while (filled < num) { - if (secp256k1_testrand_bits(1)) { + if (testrand_bits(1)) { secp256k1_gej_set_infinity(&gejs[filled]); - random_scalar_order_test(&scalars[filled]); + testutil_random_scalar_order_test(&scalars[filled]); } else { secp256k1_scalar_set_int(&scalars[filled], 0); - random_group_element_test(&ge_tmp); + testutil_random_ge_test(&ge_tmp); secp256k1_gej_set_ge(&gejs[filled], &ge_tmp); } ++filled; @@ -4844,7 +5001,7 @@ static int test_ecmult_multi_random(secp256k1_scratch *scratch) { secp256k1_scalar v, iv; /* Shuffle the entries. */ for (j = 0; j < num_nonzero; ++j) { - int k = secp256k1_testrand_int(num_nonzero - j); + int k = testrand_int(num_nonzero - j); if (k != 0) { secp256k1_gej gej = gejs[j]; secp256k1_scalar sc = scalars[j]; @@ -4864,7 +5021,7 @@ static int test_ecmult_multi_random(secp256k1_scratch *scratch) { } /* Transform the last input: a*P -> (v*a) * ((1/v)*P). */ CHECK(num_nonzero >= 1); - random_scalar_order_test(&v); + testutil_random_scalar_order_test(&v); secp256k1_scalar_inverse(&iv, &v); secp256k1_scalar_mul(&scalars[num_nonzero - 1], &scalars[num_nonzero - 1], &v); secp256k1_ecmult(&gejs[num_nonzero - 1], &gejs[num_nonzero - 1], &iv, NULL); @@ -4873,7 +5030,7 @@ static int test_ecmult_multi_random(secp256k1_scratch *scratch) { /* Shuffle all entries (0..num-1). */ for (i = 0; i < num; ++i) { - int j = secp256k1_testrand_int(num - i); + int j = testrand_int(num - i); if (j != 0) { secp256k1_gej gej = gejs[i]; secp256k1_scalar sc = scalars[i]; @@ -4897,22 +5054,20 @@ static int test_ecmult_multi_random(secp256k1_scratch *scratch) { } static void test_ecmult_multi_batch_single(secp256k1_ecmult_multi_func ecmult_multi) { - secp256k1_scalar szero; secp256k1_scalar sc; secp256k1_ge pt; secp256k1_gej r; ecmult_multi_data data; secp256k1_scratch *scratch_empty; - random_group_element_test(&pt); - random_scalar_order(&sc); + testutil_random_ge_test(&pt); + testutil_random_scalar_order(&sc); data.sc = ≻ data.pt = &pt; - secp256k1_scalar_set_int(&szero, 0); /* Try to multiply 1 point, but scratch space is empty.*/ scratch_empty = secp256k1_scratch_create(&CTX->error_callback, 0); - CHECK(!ecmult_multi(&CTX->error_callback, scratch_empty, &r, &szero, ecmult_multi_callback, &data, 1)); + CHECK(!ecmult_multi(&CTX->error_callback, scratch_empty, &r, &secp256k1_scalar_zero, ecmult_multi_callback, &data, 1)); secp256k1_scratch_destroy(&CTX->error_callback, scratch_empty); } @@ -4937,7 +5092,7 @@ static void test_secp256k1_pippenger_bucket_window_inv(void) { * for a given scratch space. */ static void test_ecmult_multi_pippenger_max_points(void) { - size_t scratch_size = secp256k1_testrand_bits(8); + size_t scratch_size = testrand_bits(8); size_t max_size = secp256k1_pippenger_scratch_size(secp256k1_pippenger_bucket_window_inv(PIPPENGER_MAX_BUCKET_WINDOW-1)+512, 12); secp256k1_scratch *scratch; size_t n_points_supported; @@ -5020,7 +5175,6 @@ static void test_ecmult_multi_batch_size_helper(void) { static void test_ecmult_multi_batching(void) { static const int n_points = 2*ECMULT_PIPPENGER_THRESHOLD; secp256k1_scalar scG; - secp256k1_scalar szero; secp256k1_scalar *sc = (secp256k1_scalar *)checked_malloc(&CTX->error_callback, sizeof(secp256k1_scalar) * n_points); secp256k1_ge *pt = (secp256k1_ge *)checked_malloc(&CTX->error_callback, sizeof(secp256k1_ge) * n_points); secp256k1_gej r; @@ -5030,18 +5184,17 @@ static void test_ecmult_multi_batching(void) { secp256k1_scratch *scratch; secp256k1_gej_set_infinity(&r2); - secp256k1_scalar_set_int(&szero, 0); /* Get random scalars and group elements and compute result */ - random_scalar_order(&scG); - secp256k1_ecmult(&r2, &r2, &szero, &scG); + testutil_random_scalar_order(&scG); + secp256k1_ecmult(&r2, &r2, &secp256k1_scalar_zero, &scG); for(i = 0; i < n_points; i++) { secp256k1_ge ptg; secp256k1_gej ptgj; - random_group_element_test(&ptg); + testutil_random_ge_test(&ptg); secp256k1_gej_set_ge(&ptgj, &ptg); pt[i] = ptg; - random_scalar_order(&sc[i]); + testutil_random_scalar_order(&sc[i]); secp256k1_ecmult(&ptgj, &ptgj, &sc[i], NULL); secp256k1_gej_add_var(&r2, &r2, &ptgj, NULL); } @@ -5145,73 +5298,17 @@ static void test_wnaf(const secp256k1_scalar *number, int w) { CHECK(secp256k1_scalar_eq(&x, number)); /* check that wnaf represents number */ } -static void test_constant_wnaf_negate(const secp256k1_scalar *number) { - secp256k1_scalar neg1 = *number; - secp256k1_scalar neg2 = *number; - int sign1 = 1; - int sign2 = 1; - - if (!secp256k1_scalar_get_bits(&neg1, 0, 1)) { - secp256k1_scalar_negate(&neg1, &neg1); - sign1 = -1; - } - sign2 = secp256k1_scalar_cond_negate(&neg2, secp256k1_scalar_is_even(&neg2)); - CHECK(sign1 == sign2); - CHECK(secp256k1_scalar_eq(&neg1, &neg2)); -} - -static void test_constant_wnaf(const secp256k1_scalar *number, int w) { - secp256k1_scalar x, shift; - int wnaf[256] = {0}; - int i; - int skew; - int bits = 256; - secp256k1_scalar num = *number; - secp256k1_scalar scalar_skew; - - secp256k1_scalar_set_int(&x, 0); - secp256k1_scalar_set_int(&shift, 1 << w); - for (i = 0; i < 16; ++i) { - secp256k1_scalar_shr_int(&num, 8); - } - bits = 128; - skew = secp256k1_wnaf_const(wnaf, &num, w, bits); - - for (i = WNAF_SIZE_BITS(bits, w); i >= 0; --i) { - secp256k1_scalar t; - int v = wnaf[i]; - CHECK(v != 0); /* check nonzero */ - CHECK(v & 1); /* check parity */ - CHECK(v > -(1 << w)); /* check range above */ - CHECK(v < (1 << w)); /* check range below */ - - secp256k1_scalar_mul(&x, &x, &shift); - if (v >= 0) { - secp256k1_scalar_set_int(&t, v); - } else { - secp256k1_scalar_set_int(&t, -v); - secp256k1_scalar_negate(&t, &t); - } - secp256k1_scalar_add(&x, &x, &t); - } - /* Skew num because when encoding numbers as odd we use an offset */ - secp256k1_scalar_set_int(&scalar_skew, skew); - secp256k1_scalar_add(&num, &num, &scalar_skew); - CHECK(secp256k1_scalar_eq(&x, &num)); -} - static void test_fixed_wnaf(const secp256k1_scalar *number, int w) { secp256k1_scalar x, shift; int wnaf[256] = {0}; int i; int skew; - secp256k1_scalar num = *number; + secp256k1_scalar num, unused; secp256k1_scalar_set_int(&x, 0); secp256k1_scalar_set_int(&shift, 1 << w); - for (i = 0; i < 16; ++i) { - secp256k1_scalar_shr_int(&num, 8); - } + /* Make num a 128-bit scalar. */ + secp256k1_scalar_split_128(&num, &unused, number); skew = secp256k1_wnaf_fixed(wnaf, &num, w); for (i = WNAF_SIZE(w)-1; i >= 0; --i) { @@ -5303,41 +5400,14 @@ static void test_fixed_wnaf_small(void) { static void run_wnaf(void) { int i; - secp256k1_scalar n = {{0}}; - - test_constant_wnaf(&n, 4); - /* Sanity check: 1 and 2 are the smallest odd and even numbers and should - * have easier-to-diagnose failure modes */ - n.d[0] = 1; - test_constant_wnaf(&n, 4); - n.d[0] = 2; - test_constant_wnaf(&n, 4); - /* Test -1, because it's a special case in wnaf_const */ - n = secp256k1_scalar_one; - secp256k1_scalar_negate(&n, &n); - test_constant_wnaf(&n, 4); - - /* Test -2, which may not lead to overflows in wnaf_const */ - secp256k1_scalar_add(&n, &secp256k1_scalar_one, &secp256k1_scalar_one); - secp256k1_scalar_negate(&n, &n); - test_constant_wnaf(&n, 4); - - /* Test (1/2) - 1 = 1/-2 and 1/2 = (1/-2) + 1 - as corner cases of negation handling in wnaf_const */ - secp256k1_scalar_inverse(&n, &n); - test_constant_wnaf(&n, 4); - - secp256k1_scalar_add(&n, &n, &secp256k1_scalar_one); - test_constant_wnaf(&n, 4); + secp256k1_scalar n; /* Test 0 for fixed wnaf */ test_fixed_wnaf_small(); /* Random tests */ for (i = 0; i < COUNT; i++) { - random_scalar_order(&n); + testutil_random_scalar_order(&n); test_wnaf(&n, 4+(i%10)); - test_constant_wnaf_negate(&n); - test_constant_wnaf(&n, 4 + (i % 10)); test_fixed_wnaf(&n, 4 + (i % 10)); } secp256k1_scalar_set_int(&n, 0); @@ -5359,32 +5429,29 @@ static void test_ecmult_accumulate(secp256k1_sha256* acc, const secp256k1_scalar /* Compute x*G in 6 different ways, serialize it uncompressed, and feed it into acc. */ secp256k1_gej rj1, rj2, rj3, rj4, rj5, rj6, gj, infj; secp256k1_ge r; - const secp256k1_scalar zero = SECP256K1_SCALAR_CONST(0, 0, 0, 0, 0, 0, 0, 0); unsigned char bytes[65]; - size_t size = 65; secp256k1_gej_set_ge(&gj, &secp256k1_ge_const_g); secp256k1_gej_set_infinity(&infj); secp256k1_ecmult_gen(&CTX->ecmult_gen_ctx, &rj1, x); - secp256k1_ecmult(&rj2, &gj, x, &zero); - secp256k1_ecmult(&rj3, &infj, &zero, x); - secp256k1_ecmult_multi_var(NULL, scratch, &rj4, x, NULL, NULL, 0); - secp256k1_ecmult_multi_var(NULL, scratch, &rj5, &zero, test_ecmult_accumulate_cb, (void*)x, 1); - secp256k1_ecmult_const(&rj6, &secp256k1_ge_const_g, x, 256); + secp256k1_ecmult(&rj2, &gj, x, &secp256k1_scalar_zero); + secp256k1_ecmult(&rj3, &infj, &secp256k1_scalar_zero, x); + CHECK(secp256k1_ecmult_multi_var(&CTX->error_callback, scratch, &rj4, x, NULL, NULL, 0)); + CHECK(secp256k1_ecmult_multi_var(&CTX->error_callback, scratch, &rj5, &secp256k1_scalar_zero, test_ecmult_accumulate_cb, (void*)x, 1)); + secp256k1_ecmult_const(&rj6, &secp256k1_ge_const_g, x); secp256k1_ge_set_gej_var(&r, &rj1); - ge_equals_gej(&r, &rj2); - ge_equals_gej(&r, &rj3); - ge_equals_gej(&r, &rj4); - ge_equals_gej(&r, &rj5); - ge_equals_gej(&r, &rj6); + CHECK(secp256k1_gej_eq_ge_var(&rj2, &r)); + CHECK(secp256k1_gej_eq_ge_var(&rj3, &r)); + CHECK(secp256k1_gej_eq_ge_var(&rj4, &r)); + CHECK(secp256k1_gej_eq_ge_var(&rj5, &r)); + CHECK(secp256k1_gej_eq_ge_var(&rj6, &r)); if (secp256k1_ge_is_infinity(&r)) { /* Store infinity as 0x00 */ const unsigned char zerobyte[1] = {0}; secp256k1_sha256_write(acc, zerobyte, 1); } else { /* Store other points using their uncompressed serialization. */ - secp256k1_eckey_pubkey_serialize(&r, bytes, &size, 0); - CHECK(size == 65); - secp256k1_sha256_write(acc, bytes, size); + secp256k1_eckey_pubkey_serialize65(&r, bytes); + secp256k1_sha256_write(acc, bytes, sizeof(bytes)); } } @@ -5504,7 +5571,7 @@ static void run_ecmult_constants(void) { test_ecmult_constants_sha(1607366309u, 2048, expected32_8bit8); } - CONDITIONAL_TEST(35, "test_ecmult_constants_2bit") { + CONDITIONAL_TEST(16, "test_ecmult_constants_2bit") { test_ecmult_constants_2bit(); } } @@ -5516,37 +5583,58 @@ static void test_ecmult_gen_blind(void) { unsigned char seed32[32]; secp256k1_gej pgej; secp256k1_gej pgej2; - secp256k1_gej i; + secp256k1_ge p; secp256k1_ge pge; - random_scalar_order_test(&key); + testutil_random_scalar_order_test(&key); secp256k1_ecmult_gen(&CTX->ecmult_gen_ctx, &pgej, &key); - secp256k1_testrand256(seed32); - b = CTX->ecmult_gen_ctx.blind; - i = CTX->ecmult_gen_ctx.initial; + testrand256(seed32); + b = CTX->ecmult_gen_ctx.scalar_offset; + p = CTX->ecmult_gen_ctx.ge_offset; secp256k1_ecmult_gen_blind(&CTX->ecmult_gen_ctx, seed32); - CHECK(!secp256k1_scalar_eq(&b, &CTX->ecmult_gen_ctx.blind)); + CHECK(!secp256k1_scalar_eq(&b, &CTX->ecmult_gen_ctx.scalar_offset)); secp256k1_ecmult_gen(&CTX->ecmult_gen_ctx, &pgej2, &key); CHECK(!gej_xyz_equals_gej(&pgej, &pgej2)); - CHECK(!gej_xyz_equals_gej(&i, &CTX->ecmult_gen_ctx.initial)); + CHECK(!secp256k1_ge_eq_var(&p, &CTX->ecmult_gen_ctx.ge_offset)); secp256k1_ge_set_gej(&pge, &pgej); - ge_equals_gej(&pge, &pgej2); + CHECK(secp256k1_gej_eq_ge_var(&pgej2, &pge)); } static void test_ecmult_gen_blind_reset(void) { /* Test ecmult_gen() blinding reset and confirm that the blinding is consistent. */ secp256k1_scalar b; - secp256k1_gej initial; + secp256k1_ge p1, p2; secp256k1_ecmult_gen_blind(&CTX->ecmult_gen_ctx, 0); - b = CTX->ecmult_gen_ctx.blind; - initial = CTX->ecmult_gen_ctx.initial; + b = CTX->ecmult_gen_ctx.scalar_offset; + p1 = CTX->ecmult_gen_ctx.ge_offset; secp256k1_ecmult_gen_blind(&CTX->ecmult_gen_ctx, 0); - CHECK(secp256k1_scalar_eq(&b, &CTX->ecmult_gen_ctx.blind)); - CHECK(gej_xyz_equals_gej(&initial, &CTX->ecmult_gen_ctx.initial)); + CHECK(secp256k1_scalar_eq(&b, &CTX->ecmult_gen_ctx.scalar_offset)); + p2 = CTX->ecmult_gen_ctx.ge_offset; + CHECK(secp256k1_ge_eq_var(&p1, &p2)); +} + +/* Verify that ecmult_gen for scalars gn for which gn + scalar_offset = {-1,0,1}. */ +static void test_ecmult_gen_edge_cases(void) { + int i; + secp256k1_gej res1, res2, res3; + secp256k1_scalar gn = secp256k1_scalar_one; /* gn = 1 */ + secp256k1_scalar_add(&gn, &gn, &CTX->ecmult_gen_ctx.scalar_offset); /* gn = 1 + scalar_offset */ + secp256k1_scalar_negate(&gn, &gn); /* gn = -1 - scalar_offset */ + + for (i = -1; i < 2; ++i) { + /* Run test with gn = i - scalar_offset (so that the ecmult_gen recoded value represents i). */ + secp256k1_ecmult_gen(&CTX->ecmult_gen_ctx, &res1, &gn); + secp256k1_ecmult(&res2, NULL, &secp256k1_scalar_zero, &gn); + secp256k1_ecmult_const(&res3, &secp256k1_ge_const_g, &gn); + CHECK(secp256k1_gej_eq_var(&res1, &res2)); + CHECK(secp256k1_gej_eq_var(&res1, &res3)); + secp256k1_scalar_add(&gn, &gn, &secp256k1_scalar_one); + } } static void run_ecmult_gen_blind(void) { int i; test_ecmult_gen_blind_reset(); + test_ecmult_gen_edge_cases(); for (i = 0; i < 10; i++) { test_ecmult_gen_blind(); } @@ -5593,7 +5681,7 @@ static void run_endomorphism_tests(void) { for (i = 0; i < 100U * COUNT; ++i) { secp256k1_scalar full; - random_scalar_order_test(&full); + testutil_random_scalar_order_test(&full); test_scalar_split(&full); } for (i = 0; i < sizeof(scalars_near_split_bounds) / sizeof(scalars_near_split_bounds[0]); ++i) { @@ -5606,9 +5694,7 @@ static void ec_pubkey_parse_pointtest(const unsigned char *input, int xvalid, in secp256k1_pubkey pubkey; secp256k1_ge ge; size_t pubkeyclen; - int32_t ecount; - ecount = 0; - secp256k1_context_set_illegal_callback(CTX, counting_illegal_callback_fn, &ecount); + for (pubkeyclen = 3; pubkeyclen <= 65; pubkeyclen++) { /* Smaller sizes are tested exhaustively elsewhere. */ int32_t i; @@ -5633,7 +5719,6 @@ static void ec_pubkey_parse_pointtest(const unsigned char *input, int xvalid, in size_t outl; memset(&pubkey, 0, sizeof(pubkey)); SECP256K1_CHECKMEM_UNDEFINE(&pubkey, sizeof(pubkey)); - ecount = 0; CHECK(secp256k1_ec_pubkey_parse(CTX, &pubkey, pubkeyc, pubkeyclen) == 1); SECP256K1_CHECKMEM_CHECK(&pubkey, sizeof(pubkey)); outl = 65; @@ -5659,21 +5744,16 @@ static void ec_pubkey_parse_pointtest(const unsigned char *input, int xvalid, in CHECK(pubkeyo[0] == 4); CHECK(secp256k1_memcmp_var(&pubkeyo[1], input, 64) == 0); } - CHECK(ecount == 0); } else { /* These cases must fail to parse. */ memset(&pubkey, 0xfe, sizeof(pubkey)); - ecount = 0; SECP256K1_CHECKMEM_UNDEFINE(&pubkey, sizeof(pubkey)); CHECK(secp256k1_ec_pubkey_parse(CTX, &pubkey, pubkeyc, pubkeyclen) == 0); SECP256K1_CHECKMEM_CHECK(&pubkey, sizeof(pubkey)); - CHECK(ecount == 0); - CHECK(secp256k1_pubkey_load(CTX, &ge, &pubkey) == 0); - CHECK(ecount == 1); + CHECK_ILLEGAL(CTX, secp256k1_pubkey_load(CTX, &ge, &pubkey)); } } } - secp256k1_context_set_illegal_callback(CTX, NULL, NULL); } static void run_ec_pubkey_parse_test(void) { @@ -5856,142 +5936,99 @@ static void run_ec_pubkey_parse_test(void) { 0xB8, 0x00 }; unsigned char sout[65]; - unsigned char shortkey[2]; + unsigned char shortkey[2] = { 0 }; secp256k1_ge ge; secp256k1_pubkey pubkey; size_t len; int32_t i; - int32_t ecount; - int32_t ecount2; - ecount = 0; + /* Nothing should be reading this far into pubkeyc. */ SECP256K1_CHECKMEM_UNDEFINE(&pubkeyc[65], 1); - secp256k1_context_set_illegal_callback(CTX, counting_illegal_callback_fn, &ecount); /* Zero length claimed, fail, zeroize, no illegal arg error. */ memset(&pubkey, 0xfe, sizeof(pubkey)); - ecount = 0; SECP256K1_CHECKMEM_UNDEFINE(shortkey, 2); SECP256K1_CHECKMEM_UNDEFINE(&pubkey, sizeof(pubkey)); CHECK(secp256k1_ec_pubkey_parse(CTX, &pubkey, shortkey, 0) == 0); SECP256K1_CHECKMEM_CHECK(&pubkey, sizeof(pubkey)); - CHECK(ecount == 0); - CHECK(secp256k1_pubkey_load(CTX, &ge, &pubkey) == 0); - CHECK(ecount == 1); + CHECK_ILLEGAL(CTX, secp256k1_pubkey_load(CTX, &ge, &pubkey)); /* Length one claimed, fail, zeroize, no illegal arg error. */ for (i = 0; i < 256 ; i++) { memset(&pubkey, 0xfe, sizeof(pubkey)); - ecount = 0; shortkey[0] = i; SECP256K1_CHECKMEM_UNDEFINE(&shortkey[1], 1); SECP256K1_CHECKMEM_UNDEFINE(&pubkey, sizeof(pubkey)); CHECK(secp256k1_ec_pubkey_parse(CTX, &pubkey, shortkey, 1) == 0); SECP256K1_CHECKMEM_CHECK(&pubkey, sizeof(pubkey)); - CHECK(ecount == 0); - CHECK(secp256k1_pubkey_load(CTX, &ge, &pubkey) == 0); - CHECK(ecount == 1); + CHECK_ILLEGAL(CTX, secp256k1_pubkey_load(CTX, &ge, &pubkey)); } /* Length two claimed, fail, zeroize, no illegal arg error. */ for (i = 0; i < 65536 ; i++) { memset(&pubkey, 0xfe, sizeof(pubkey)); - ecount = 0; shortkey[0] = i & 255; shortkey[1] = i >> 8; SECP256K1_CHECKMEM_UNDEFINE(&pubkey, sizeof(pubkey)); CHECK(secp256k1_ec_pubkey_parse(CTX, &pubkey, shortkey, 2) == 0); SECP256K1_CHECKMEM_CHECK(&pubkey, sizeof(pubkey)); - CHECK(ecount == 0); - CHECK(secp256k1_pubkey_load(CTX, &ge, &pubkey) == 0); - CHECK(ecount == 1); + CHECK_ILLEGAL(CTX, secp256k1_pubkey_load(CTX, &ge, &pubkey)); } memset(&pubkey, 0xfe, sizeof(pubkey)); - ecount = 0; SECP256K1_CHECKMEM_UNDEFINE(&pubkey, sizeof(pubkey)); /* 33 bytes claimed on otherwise valid input starting with 0x04, fail, zeroize output, no illegal arg error. */ CHECK(secp256k1_ec_pubkey_parse(CTX, &pubkey, pubkeyc, 33) == 0); SECP256K1_CHECKMEM_CHECK(&pubkey, sizeof(pubkey)); - CHECK(ecount == 0); - CHECK(secp256k1_pubkey_load(CTX, &ge, &pubkey) == 0); - CHECK(ecount == 1); + CHECK_ILLEGAL(CTX, secp256k1_pubkey_load(CTX, &ge, &pubkey)); /* NULL pubkey, illegal arg error. Pubkey isn't rewritten before this step, since it's NULL into the parser. */ - CHECK(secp256k1_ec_pubkey_parse(CTX, NULL, pubkeyc, 65) == 0); - CHECK(ecount == 2); + CHECK_ILLEGAL(CTX, secp256k1_ec_pubkey_parse(CTX, NULL, pubkeyc, 65)); /* NULL input string. Illegal arg and zeroize output. */ memset(&pubkey, 0xfe, sizeof(pubkey)); - ecount = 0; SECP256K1_CHECKMEM_UNDEFINE(&pubkey, sizeof(pubkey)); - CHECK(secp256k1_ec_pubkey_parse(CTX, &pubkey, NULL, 65) == 0); + CHECK_ILLEGAL(CTX, secp256k1_ec_pubkey_parse(CTX, &pubkey, NULL, 65)); SECP256K1_CHECKMEM_CHECK(&pubkey, sizeof(pubkey)); - CHECK(ecount == 1); - CHECK(secp256k1_pubkey_load(CTX, &ge, &pubkey) == 0); - CHECK(ecount == 2); + CHECK_ILLEGAL(CTX, secp256k1_pubkey_load(CTX, &ge, &pubkey)); /* 64 bytes claimed on input starting with 0x04, fail, zeroize output, no illegal arg error. */ memset(&pubkey, 0xfe, sizeof(pubkey)); - ecount = 0; SECP256K1_CHECKMEM_UNDEFINE(&pubkey, sizeof(pubkey)); CHECK(secp256k1_ec_pubkey_parse(CTX, &pubkey, pubkeyc, 64) == 0); SECP256K1_CHECKMEM_CHECK(&pubkey, sizeof(pubkey)); - CHECK(ecount == 0); - CHECK(secp256k1_pubkey_load(CTX, &ge, &pubkey) == 0); - CHECK(ecount == 1); + CHECK_ILLEGAL(CTX, secp256k1_pubkey_load(CTX, &ge, &pubkey)); /* 66 bytes claimed, fail, zeroize output, no illegal arg error. */ memset(&pubkey, 0xfe, sizeof(pubkey)); - ecount = 0; SECP256K1_CHECKMEM_UNDEFINE(&pubkey, sizeof(pubkey)); CHECK(secp256k1_ec_pubkey_parse(CTX, &pubkey, pubkeyc, 66) == 0); SECP256K1_CHECKMEM_CHECK(&pubkey, sizeof(pubkey)); - CHECK(ecount == 0); - CHECK(secp256k1_pubkey_load(CTX, &ge, &pubkey) == 0); - CHECK(ecount == 1); + CHECK_ILLEGAL(CTX, secp256k1_pubkey_load(CTX, &ge, &pubkey)); /* Valid parse. */ memset(&pubkey, 0, sizeof(pubkey)); - ecount = 0; SECP256K1_CHECKMEM_UNDEFINE(&pubkey, sizeof(pubkey)); CHECK(secp256k1_ec_pubkey_parse(CTX, &pubkey, pubkeyc, 65) == 1); CHECK(secp256k1_ec_pubkey_parse(secp256k1_context_static, &pubkey, pubkeyc, 65) == 1); SECP256K1_CHECKMEM_CHECK(&pubkey, sizeof(pubkey)); - CHECK(ecount == 0); SECP256K1_CHECKMEM_UNDEFINE(&ge, sizeof(ge)); CHECK(secp256k1_pubkey_load(CTX, &ge, &pubkey) == 1); SECP256K1_CHECKMEM_CHECK(&ge.x, sizeof(ge.x)); SECP256K1_CHECKMEM_CHECK(&ge.y, sizeof(ge.y)); SECP256K1_CHECKMEM_CHECK(&ge.infinity, sizeof(ge.infinity)); - ge_equals_ge(&secp256k1_ge_const_g, &ge); - CHECK(ecount == 0); + CHECK(secp256k1_ge_eq_var(&ge, &secp256k1_ge_const_g)); /* secp256k1_ec_pubkey_serialize illegal args. */ - ecount = 0; len = 65; - CHECK(secp256k1_ec_pubkey_serialize(CTX, NULL, &len, &pubkey, SECP256K1_EC_UNCOMPRESSED) == 0); - CHECK(ecount == 1); + CHECK_ILLEGAL(CTX, secp256k1_ec_pubkey_serialize(CTX, NULL, &len, &pubkey, SECP256K1_EC_UNCOMPRESSED)); CHECK(len == 0); - CHECK(secp256k1_ec_pubkey_serialize(CTX, sout, NULL, &pubkey, SECP256K1_EC_UNCOMPRESSED) == 0); - CHECK(ecount == 2); + CHECK_ILLEGAL(CTX, secp256k1_ec_pubkey_serialize(CTX, sout, NULL, &pubkey, SECP256K1_EC_UNCOMPRESSED)); len = 65; SECP256K1_CHECKMEM_UNDEFINE(sout, 65); - CHECK(secp256k1_ec_pubkey_serialize(CTX, sout, &len, NULL, SECP256K1_EC_UNCOMPRESSED) == 0); + CHECK_ILLEGAL(CTX, secp256k1_ec_pubkey_serialize(CTX, sout, &len, NULL, SECP256K1_EC_UNCOMPRESSED)); SECP256K1_CHECKMEM_CHECK(sout, 65); - CHECK(ecount == 3); CHECK(len == 0); len = 65; - CHECK(secp256k1_ec_pubkey_serialize(CTX, sout, &len, &pubkey, ~0) == 0); - CHECK(ecount == 4); + CHECK_ILLEGAL(CTX, secp256k1_ec_pubkey_serialize(CTX, sout, &len, &pubkey, ~0)); CHECK(len == 0); len = 65; SECP256K1_CHECKMEM_UNDEFINE(sout, 65); CHECK(secp256k1_ec_pubkey_serialize(CTX, sout, &len, &pubkey, SECP256K1_EC_UNCOMPRESSED) == 1); SECP256K1_CHECKMEM_CHECK(sout, 65); - CHECK(ecount == 4); CHECK(len == 65); /* Multiple illegal args. Should still set arg error only once. */ - ecount = 0; - ecount2 = 11; - CHECK(secp256k1_ec_pubkey_parse(CTX, NULL, NULL, 65) == 0); - CHECK(ecount == 1); - /* Does the illegal arg callback actually change the behavior? */ - secp256k1_context_set_illegal_callback(CTX, uncounting_illegal_callback_fn, &ecount2); - CHECK(secp256k1_ec_pubkey_parse(CTX, NULL, NULL, 65) == 0); - CHECK(ecount == 1); - CHECK(ecount2 == 10); - secp256k1_context_set_illegal_callback(CTX, NULL, NULL); + CHECK_ILLEGAL(CTX, secp256k1_ec_pubkey_parse(CTX, NULL, NULL, 65)); /* Try a bunch of prefabbed points with all possible encodings. */ for (i = 0; i < SECP256K1_EC_PARSE_TEST_NVALID; i++) { ec_pubkey_parse_pointtest(valid[i], 1, 1); @@ -6005,12 +6042,7 @@ static void run_ec_pubkey_parse_test(void) { } static void run_eckey_edge_case_test(void) { - const unsigned char orderc[32] = { - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, - 0xba, 0xae, 0xdc, 0xe6, 0xaf, 0x48, 0xa0, 0x3b, - 0xbf, 0xd2, 0x5e, 0x8c, 0xd0, 0x36, 0x41, 0x41 - }; + const unsigned char *orderc = secp256k1_group_order_bytes; const unsigned char zeros[sizeof(secp256k1_pubkey)] = {0x00}; unsigned char ctmp[33]; unsigned char ctmp2[33]; @@ -6020,7 +6052,7 @@ static void run_eckey_edge_case_test(void) { secp256k1_pubkey pubkey_negone; const secp256k1_pubkey *pubkeys[3]; size_t len; - int32_t ecount; + int i; /* Group order is too large, reject. */ CHECK(secp256k1_ec_seckey_verify(CTX, orderc) == 0); SECP256K1_CHECKMEM_UNDEFINE(&pubkey, sizeof(pubkey)); @@ -6142,88 +6174,59 @@ static void run_eckey_edge_case_test(void) { ctmp2[31] = 2; CHECK(secp256k1_ec_pubkey_tweak_mul(CTX, &pubkey2, ctmp2) == 1); CHECK(secp256k1_memcmp_var(&pubkey, &pubkey2, sizeof(pubkey)) == 0); - /* Test argument errors. */ - ecount = 0; - secp256k1_context_set_illegal_callback(CTX, counting_illegal_callback_fn, &ecount); - CHECK(ecount == 0); /* Zeroize pubkey on parse error. */ memset(&pubkey, 0, 32); - CHECK(secp256k1_ec_pubkey_tweak_add(CTX, &pubkey, ctmp2) == 0); - CHECK(ecount == 1); + CHECK_ILLEGAL(CTX, secp256k1_ec_pubkey_tweak_add(CTX, &pubkey, ctmp2)); CHECK(secp256k1_memcmp_var(&pubkey, zeros, sizeof(pubkey)) == 0); memcpy(&pubkey, &pubkey2, sizeof(pubkey)); memset(&pubkey2, 0, 32); - CHECK(secp256k1_ec_pubkey_tweak_mul(CTX, &pubkey2, ctmp2) == 0); - CHECK(ecount == 2); + CHECK_ILLEGAL(CTX, secp256k1_ec_pubkey_tweak_mul(CTX, &pubkey2, ctmp2)); CHECK(secp256k1_memcmp_var(&pubkey2, zeros, sizeof(pubkey2)) == 0); /* Plain argument errors. */ - ecount = 0; CHECK(secp256k1_ec_seckey_verify(CTX, ctmp) == 1); - CHECK(ecount == 0); - CHECK(secp256k1_ec_seckey_verify(CTX, NULL) == 0); - CHECK(ecount == 1); - ecount = 0; + CHECK_ILLEGAL(CTX, secp256k1_ec_seckey_verify(CTX, NULL)); memset(ctmp2, 0, 32); ctmp2[31] = 4; - CHECK(secp256k1_ec_pubkey_tweak_add(CTX, NULL, ctmp2) == 0); - CHECK(ecount == 1); - CHECK(secp256k1_ec_pubkey_tweak_add(CTX, &pubkey, NULL) == 0); - CHECK(ecount == 2); - ecount = 0; + CHECK_ILLEGAL(CTX, secp256k1_ec_pubkey_tweak_add(CTX, NULL, ctmp2)); + CHECK_ILLEGAL(CTX, secp256k1_ec_pubkey_tweak_add(CTX, &pubkey, NULL)); memset(ctmp2, 0, 32); ctmp2[31] = 4; - CHECK(secp256k1_ec_pubkey_tweak_mul(CTX, NULL, ctmp2) == 0); - CHECK(ecount == 1); - CHECK(secp256k1_ec_pubkey_tweak_mul(CTX, &pubkey, NULL) == 0); - CHECK(ecount == 2); - ecount = 0; + CHECK_ILLEGAL(CTX, secp256k1_ec_pubkey_tweak_mul(CTX, NULL, ctmp2)); + CHECK_ILLEGAL(CTX, secp256k1_ec_pubkey_tweak_mul(CTX, &pubkey, NULL)); memset(ctmp2, 0, 32); - CHECK(secp256k1_ec_seckey_tweak_add(CTX, NULL, ctmp2) == 0); - CHECK(ecount == 1); - CHECK(secp256k1_ec_seckey_tweak_add(CTX, ctmp, NULL) == 0); - CHECK(ecount == 2); - ecount = 0; + CHECK_ILLEGAL(CTX, secp256k1_ec_seckey_tweak_add(CTX, NULL, ctmp2)); + CHECK_ILLEGAL(CTX, secp256k1_ec_seckey_tweak_add(CTX, ctmp, NULL)); memset(ctmp2, 0, 32); ctmp2[31] = 1; - CHECK(secp256k1_ec_seckey_tweak_mul(CTX, NULL, ctmp2) == 0); - CHECK(ecount == 1); - CHECK(secp256k1_ec_seckey_tweak_mul(CTX, ctmp, NULL) == 0); - CHECK(ecount == 2); - ecount = 0; - CHECK(secp256k1_ec_pubkey_create(CTX, NULL, ctmp) == 0); - CHECK(ecount == 1); + CHECK_ILLEGAL(CTX, secp256k1_ec_seckey_tweak_mul(CTX, NULL, ctmp2)); + CHECK_ILLEGAL(CTX, secp256k1_ec_seckey_tweak_mul(CTX, ctmp, NULL)); + CHECK_ILLEGAL(CTX, secp256k1_ec_pubkey_create(CTX, NULL, ctmp)); memset(&pubkey, 1, sizeof(pubkey)); - CHECK(secp256k1_ec_pubkey_create(CTX, &pubkey, NULL) == 0); - CHECK(ecount == 2); + CHECK_ILLEGAL(CTX, secp256k1_ec_pubkey_create(CTX, &pubkey, NULL)); CHECK(secp256k1_memcmp_var(&pubkey, zeros, sizeof(secp256k1_pubkey)) == 0); /* secp256k1_ec_pubkey_combine tests. */ - ecount = 0; pubkeys[0] = &pubkey_one; SECP256K1_CHECKMEM_UNDEFINE(&pubkeys[0], sizeof(secp256k1_pubkey *)); SECP256K1_CHECKMEM_UNDEFINE(&pubkeys[1], sizeof(secp256k1_pubkey *)); SECP256K1_CHECKMEM_UNDEFINE(&pubkeys[2], sizeof(secp256k1_pubkey *)); memset(&pubkey, 255, sizeof(secp256k1_pubkey)); SECP256K1_CHECKMEM_UNDEFINE(&pubkey, sizeof(secp256k1_pubkey)); - CHECK(secp256k1_ec_pubkey_combine(CTX, &pubkey, pubkeys, 0) == 0); + CHECK_ILLEGAL(CTX, secp256k1_ec_pubkey_combine(CTX, &pubkey, pubkeys, 0)); SECP256K1_CHECKMEM_CHECK(&pubkey, sizeof(secp256k1_pubkey)); CHECK(secp256k1_memcmp_var(&pubkey, zeros, sizeof(secp256k1_pubkey)) == 0); - CHECK(ecount == 1); - CHECK(secp256k1_ec_pubkey_combine(CTX, NULL, pubkeys, 1) == 0); + CHECK_ILLEGAL(CTX, secp256k1_ec_pubkey_combine(CTX, NULL, pubkeys, 1)); CHECK(secp256k1_memcmp_var(&pubkey, zeros, sizeof(secp256k1_pubkey)) == 0); - CHECK(ecount == 2); memset(&pubkey, 255, sizeof(secp256k1_pubkey)); SECP256K1_CHECKMEM_UNDEFINE(&pubkey, sizeof(secp256k1_pubkey)); - CHECK(secp256k1_ec_pubkey_combine(CTX, &pubkey, NULL, 1) == 0); + CHECK_ILLEGAL(CTX, secp256k1_ec_pubkey_combine(CTX, &pubkey, NULL, 1)); SECP256K1_CHECKMEM_CHECK(&pubkey, sizeof(secp256k1_pubkey)); CHECK(secp256k1_memcmp_var(&pubkey, zeros, sizeof(secp256k1_pubkey)) == 0); - CHECK(ecount == 3); pubkeys[0] = &pubkey_negone; memset(&pubkey, 255, sizeof(secp256k1_pubkey)); SECP256K1_CHECKMEM_UNDEFINE(&pubkey, sizeof(secp256k1_pubkey)); CHECK(secp256k1_ec_pubkey_combine(CTX, &pubkey, pubkeys, 1) == 1); SECP256K1_CHECKMEM_CHECK(&pubkey, sizeof(secp256k1_pubkey)); CHECK(secp256k1_memcmp_var(&pubkey, zeros, sizeof(secp256k1_pubkey)) > 0); - CHECK(ecount == 3); len = 33; CHECK(secp256k1_ec_pubkey_serialize(CTX, ctmp, &len, &pubkey, SECP256K1_EC_COMPRESSED) == 1); CHECK(secp256k1_ec_pubkey_serialize(CTX, ctmp2, &len, &pubkey_negone, SECP256K1_EC_COMPRESSED) == 1); @@ -6236,7 +6239,6 @@ static void run_eckey_edge_case_test(void) { CHECK(secp256k1_ec_pubkey_combine(CTX, &pubkey, pubkeys, 2) == 0); SECP256K1_CHECKMEM_CHECK(&pubkey, sizeof(secp256k1_pubkey)); CHECK(secp256k1_memcmp_var(&pubkey, zeros, sizeof(secp256k1_pubkey)) == 0); - CHECK(ecount == 3); /* Passes through infinity but comes out one. */ pubkeys[2] = &pubkey_one; memset(&pubkey, 255, sizeof(secp256k1_pubkey)); @@ -6244,7 +6246,14 @@ static void run_eckey_edge_case_test(void) { CHECK(secp256k1_ec_pubkey_combine(CTX, &pubkey, pubkeys, 3) == 1); SECP256K1_CHECKMEM_CHECK(&pubkey, sizeof(secp256k1_pubkey)); CHECK(secp256k1_memcmp_var(&pubkey, zeros, sizeof(secp256k1_pubkey)) > 0); - CHECK(ecount == 3); + /* check that NULL in array of pubkey pointers is not allowed */ + for (i = 0; i < 3; i++) { + const secp256k1_pubkey *original_ptr = pubkeys[i]; + secp256k1_pubkey result; + pubkeys[i] = NULL; + CHECK_ILLEGAL(CTX, secp256k1_ec_pubkey_combine(CTX, &result, pubkeys, 3)); + pubkeys[i] = original_ptr; + } len = 33; CHECK(secp256k1_ec_pubkey_serialize(CTX, ctmp, &len, &pubkey, SECP256K1_EC_COMPRESSED) == 1); CHECK(secp256k1_ec_pubkey_serialize(CTX, ctmp2, &len, &pubkey_one, SECP256K1_EC_COMPRESSED) == 1); @@ -6256,15 +6265,13 @@ static void run_eckey_edge_case_test(void) { CHECK(secp256k1_ec_pubkey_combine(CTX, &pubkey, pubkeys, 2) == 1); SECP256K1_CHECKMEM_CHECK(&pubkey, sizeof(secp256k1_pubkey)); CHECK(secp256k1_memcmp_var(&pubkey, zeros, sizeof(secp256k1_pubkey)) > 0); - CHECK(ecount == 3); - secp256k1_context_set_illegal_callback(CTX, NULL, NULL); } static void run_eckey_negate_test(void) { unsigned char seckey[32]; unsigned char seckey_tmp[32]; - random_scalar_order_b32(seckey); + testutil_random_scalar_order_b32(seckey); memcpy(seckey_tmp, seckey, 32); /* Verify negation changes the key and changes it back */ @@ -6273,11 +6280,6 @@ static void run_eckey_negate_test(void) { CHECK(secp256k1_ec_seckey_negate(CTX, seckey) == 1); CHECK(secp256k1_memcmp_var(seckey, seckey_tmp, 32) == 0); - /* Check that privkey alias gives same result */ - CHECK(secp256k1_ec_seckey_negate(CTX, seckey) == 1); - CHECK(secp256k1_ec_privkey_negate(CTX, seckey_tmp) == 1); - CHECK(secp256k1_memcmp_var(seckey, seckey_tmp, 32) == 0); - /* Negating all 0s fails */ memset(seckey, 0, 32); memset(seckey_tmp, 0, 32); @@ -6288,7 +6290,7 @@ static void run_eckey_negate_test(void) { /* Negating an overflowing seckey fails and the seckey is zeroed. In this * test, the seckey has 16 random bytes to ensure that ec_seckey_negate * doesn't just set seckey to a constant value in case of failure. */ - random_scalar_order_b32(seckey); + testutil_random_scalar_order_b32(seckey); memset(seckey, 0xFF, 16); memset(seckey_tmp, 0, 32); CHECK(secp256k1_ec_seckey_negate(CTX, seckey) == 0); @@ -6298,7 +6300,7 @@ static void run_eckey_negate_test(void) { static void random_sign(secp256k1_scalar *sigr, secp256k1_scalar *sigs, const secp256k1_scalar *key, const secp256k1_scalar *msg, int *recid) { secp256k1_scalar nonce; do { - random_scalar_order_test(&nonce); + testutil_random_scalar_order_test(&nonce); } while(!secp256k1_ecdsa_sig_sign(&CTX->ecmult_gen_ctx, sigr, sigs, key, msg, &nonce, recid)); } @@ -6310,11 +6312,11 @@ static void test_ecdsa_sign_verify(void) { secp256k1_scalar sigr, sigs; int getrec; int recid; - random_scalar_order_test(&msg); - random_scalar_order_test(&key); + testutil_random_scalar_order_test(&msg); + testutil_random_scalar_order_test(&key); secp256k1_ecmult_gen(&CTX->ecmult_gen_ctx, &pubj, &key); secp256k1_ge_set_gej(&pub, &pubj); - getrec = secp256k1_testrand_bits(1); + getrec = testrand_bits(1); /* The specific way in which this conditional is written sidesteps a potential bug in clang. See the commit messages of the commit that introduced this comment for details. */ if (getrec) { @@ -6363,13 +6365,7 @@ static int nonce_function_test_retry(unsigned char *nonce32, const unsigned char return 1; } if (counter < 5) { - static const unsigned char order[] = { - 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, - 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFE, - 0xBA,0xAE,0xDC,0xE6,0xAF,0x48,0xA0,0x3B, - 0xBF,0xD2,0x5E,0x8C,0xD0,0x36,0x41,0x41 - }; - memcpy(nonce32, order, 32); + memcpy(nonce32, secp256k1_group_order_bytes, 32); if (counter == 4) { nonce32[31]++; } @@ -6407,8 +6403,8 @@ static void test_ecdsa_end_to_end(void) { /* Generate a random key and message. */ { secp256k1_scalar msg, key; - random_scalar_order_test(&msg); - random_scalar_order_test(&key); + testutil_random_scalar_order_test(&msg); + testutil_random_scalar_order_test(&key); secp256k1_scalar_get_b32(privkey, &key); secp256k1_scalar_get_b32(message, &msg); } @@ -6418,7 +6414,7 @@ static void test_ecdsa_end_to_end(void) { CHECK(secp256k1_ec_pubkey_create(CTX, &pubkey, privkey) == 1); /* Verify exporting and importing public key. */ - CHECK(secp256k1_ec_pubkey_serialize(CTX, pubkeyc, &pubkeyclen, &pubkey, secp256k1_testrand_bits(1) == 1 ? SECP256K1_EC_COMPRESSED : SECP256K1_EC_UNCOMPRESSED)); + CHECK(secp256k1_ec_pubkey_serialize(CTX, pubkeyc, &pubkeyclen, &pubkey, testrand_bits(1) == 1 ? SECP256K1_EC_COMPRESSED : SECP256K1_EC_UNCOMPRESSED)); memset(&pubkey, 0, sizeof(pubkey)); CHECK(secp256k1_ec_pubkey_parse(CTX, &pubkey, pubkeyc, pubkeyclen) == 1); @@ -6430,54 +6426,40 @@ static void test_ecdsa_end_to_end(void) { CHECK(secp256k1_memcmp_var(&pubkey_tmp, &pubkey, sizeof(pubkey)) == 0); /* Verify private key import and export. */ - CHECK(ec_privkey_export_der(CTX, seckey, &seckeylen, privkey, secp256k1_testrand_bits(1) == 1)); + CHECK(ec_privkey_export_der(CTX, seckey, &seckeylen, privkey, testrand_bits(1) == 1)); CHECK(ec_privkey_import_der(CTX, privkey2, seckey, seckeylen) == 1); CHECK(secp256k1_memcmp_var(privkey, privkey2, 32) == 0); /* Optionally tweak the keys using addition. */ - if (secp256k1_testrand_int(3) == 0) { + if (testrand_int(3) == 0) { int ret1; int ret2; - int ret3; unsigned char rnd[32]; - unsigned char privkey_tmp[32]; secp256k1_pubkey pubkey2; - secp256k1_testrand256_test(rnd); - memcpy(privkey_tmp, privkey, 32); + testrand256_test(rnd); ret1 = secp256k1_ec_seckey_tweak_add(CTX, privkey, rnd); ret2 = secp256k1_ec_pubkey_tweak_add(CTX, &pubkey, rnd); - /* Check that privkey alias gives same result */ - ret3 = secp256k1_ec_privkey_tweak_add(CTX, privkey_tmp, rnd); CHECK(ret1 == ret2); - CHECK(ret2 == ret3); if (ret1 == 0) { return; } - CHECK(secp256k1_memcmp_var(privkey, privkey_tmp, 32) == 0); CHECK(secp256k1_ec_pubkey_create(CTX, &pubkey2, privkey) == 1); CHECK(secp256k1_memcmp_var(&pubkey, &pubkey2, sizeof(pubkey)) == 0); } /* Optionally tweak the keys using multiplication. */ - if (secp256k1_testrand_int(3) == 0) { + if (testrand_int(3) == 0) { int ret1; int ret2; - int ret3; unsigned char rnd[32]; - unsigned char privkey_tmp[32]; secp256k1_pubkey pubkey2; - secp256k1_testrand256_test(rnd); - memcpy(privkey_tmp, privkey, 32); + testrand256_test(rnd); ret1 = secp256k1_ec_seckey_tweak_mul(CTX, privkey, rnd); ret2 = secp256k1_ec_pubkey_tweak_mul(CTX, &pubkey, rnd); - /* Check that privkey alias gives same result */ - ret3 = secp256k1_ec_privkey_tweak_mul(CTX, privkey_tmp, rnd); CHECK(ret1 == ret2); - CHECK(ret2 == ret3); if (ret1 == 0) { return; } - CHECK(secp256k1_memcmp_var(privkey, privkey_tmp, 32) == 0); CHECK(secp256k1_ec_pubkey_create(CTX, &pubkey2, privkey) == 1); CHECK(secp256k1_memcmp_var(&pubkey, &pubkey2, sizeof(pubkey)) == 0); } @@ -6528,7 +6510,7 @@ static void test_ecdsa_end_to_end(void) { /* Serialize/destroy/parse DER and verify again. */ siglen = 74; CHECK(secp256k1_ecdsa_signature_serialize_der(CTX, sig, &siglen, &signature[0]) == 1); - sig[secp256k1_testrand_int(siglen)] += 1 + secp256k1_testrand_int(255); + sig[testrand_int(siglen)] += 1 + testrand_int(255); CHECK(secp256k1_ecdsa_signature_parse_der(CTX, &signature[0], sig, siglen) == 0 || secp256k1_ecdsa_verify(CTX, &signature[0], message, &pubkey) == 0); } @@ -6538,23 +6520,23 @@ static void test_random_pubkeys(void) { secp256k1_ge elem2; unsigned char in[65]; /* Generate some randomly sized pubkeys. */ - size_t len = secp256k1_testrand_bits(2) == 0 ? 65 : 33; - if (secp256k1_testrand_bits(2) == 0) { - len = secp256k1_testrand_bits(6); + size_t len = testrand_bits(2) == 0 ? 65 : 33; + if (testrand_bits(2) == 0) { + len = testrand_bits(6); } if (len == 65) { - in[0] = secp256k1_testrand_bits(1) ? 4 : (secp256k1_testrand_bits(1) ? 6 : 7); + in[0] = testrand_bits(1) ? 4 : (testrand_bits(1) ? 6 : 7); } else { - in[0] = secp256k1_testrand_bits(1) ? 2 : 3; + in[0] = testrand_bits(1) ? 2 : 3; } - if (secp256k1_testrand_bits(3) == 0) { - in[0] = secp256k1_testrand_bits(8); + if (testrand_bits(3) == 0) { + in[0] = testrand_bits(8); } if (len > 1) { - secp256k1_testrand256(&in[1]); + testrand256(&in[1]); } if (len > 33) { - secp256k1_testrand256(&in[33]); + testrand256(&in[33]); } if (secp256k1_eckey_pubkey_parse(&elem, in, len)) { unsigned char out[65]; @@ -6563,20 +6545,22 @@ static void test_random_pubkeys(void) { size_t size = len; firstb = in[0]; /* If the pubkey can be parsed, it should round-trip... */ - CHECK(secp256k1_eckey_pubkey_serialize(&elem, out, &size, len == 33)); - CHECK(size == len); + if (len == 33) { + secp256k1_eckey_pubkey_serialize33(&elem, out); + } else { + secp256k1_eckey_pubkey_serialize65(&elem, out); + } CHECK(secp256k1_memcmp_var(&in[1], &out[1], len-1) == 0); /* ... except for the type of hybrid inputs. */ if ((in[0] != 6) && (in[0] != 7)) { CHECK(in[0] == out[0]); } size = 65; - CHECK(secp256k1_eckey_pubkey_serialize(&elem, in, &size, 0)); - CHECK(size == 65); + secp256k1_eckey_pubkey_serialize65(&elem, in); CHECK(secp256k1_eckey_pubkey_parse(&elem2, in, size)); - ge_equals_ge(&elem,&elem2); + CHECK(secp256k1_ge_eq_var(&elem2, &elem)); /* Check that the X9.62 hybrid type is checked. */ - in[0] = secp256k1_testrand_bits(1) ? 6 : 7; + in[0] = testrand_bits(1) ? 6 : 7; res = secp256k1_eckey_pubkey_parse(&elem2, in, size); if (firstb == 2 || firstb == 3) { if (in[0] == firstb + 4) { @@ -6586,8 +6570,8 @@ static void test_random_pubkeys(void) { } } if (res) { - ge_equals_ge(&elem,&elem2); - CHECK(secp256k1_eckey_pubkey_serialize(&elem, out, &size, 0)); + CHECK(secp256k1_ge_eq_var(&elem, &elem2)); + secp256k1_eckey_pubkey_serialize65(&elem, out); CHECK(secp256k1_memcmp_var(&in[1], &out[1], 64) == 0); } } @@ -6606,34 +6590,30 @@ static void run_pubkey_comparison(void) { }; secp256k1_pubkey pk1; secp256k1_pubkey pk2; - int32_t ecount = 0; CHECK(secp256k1_ec_pubkey_parse(CTX, &pk1, pk1_ser, sizeof(pk1_ser)) == 1); CHECK(secp256k1_ec_pubkey_parse(CTX, &pk2, pk2_ser, sizeof(pk2_ser)) == 1); - secp256k1_context_set_illegal_callback(CTX, counting_illegal_callback_fn, &ecount); - CHECK(secp256k1_ec_pubkey_cmp(CTX, NULL, &pk2) < 0); - CHECK(ecount == 1); - CHECK(secp256k1_ec_pubkey_cmp(CTX, &pk1, NULL) > 0); - CHECK(ecount == 2); + CHECK_ILLEGAL_VOID(CTX, CHECK(secp256k1_ec_pubkey_cmp(CTX, NULL, &pk2) < 0)); + CHECK_ILLEGAL_VOID(CTX, CHECK(secp256k1_ec_pubkey_cmp(CTX, &pk1, NULL) > 0)); CHECK(secp256k1_ec_pubkey_cmp(CTX, &pk1, &pk2) < 0); CHECK(secp256k1_ec_pubkey_cmp(CTX, &pk2, &pk1) > 0); CHECK(secp256k1_ec_pubkey_cmp(CTX, &pk1, &pk1) == 0); CHECK(secp256k1_ec_pubkey_cmp(CTX, &pk2, &pk2) == 0); - CHECK(ecount == 2); { secp256k1_pubkey pk_tmp; memset(&pk_tmp, 0, sizeof(pk_tmp)); /* illegal pubkey */ - CHECK(secp256k1_ec_pubkey_cmp(CTX, &pk_tmp, &pk2) < 0); - CHECK(ecount == 3); - CHECK(secp256k1_ec_pubkey_cmp(CTX, &pk_tmp, &pk_tmp) == 0); - CHECK(ecount == 5); - CHECK(secp256k1_ec_pubkey_cmp(CTX, &pk2, &pk_tmp) > 0); - CHECK(ecount == 6); + CHECK_ILLEGAL_VOID(CTX, CHECK(secp256k1_ec_pubkey_cmp(CTX, &pk_tmp, &pk2) < 0)); + { + int32_t ecount = 0; + secp256k1_context_set_illegal_callback(CTX, counting_callback_fn, &ecount); + CHECK(secp256k1_ec_pubkey_cmp(CTX, &pk_tmp, &pk_tmp) == 0); + CHECK(ecount == 2); + secp256k1_context_set_illegal_callback(CTX, NULL, NULL); + } + CHECK_ILLEGAL_VOID(CTX, CHECK(secp256k1_ec_pubkey_cmp(CTX, &pk2, &pk_tmp) > 0)); } - secp256k1_context_set_illegal_callback(CTX, NULL, NULL); - /* Make pk2 the same as pk1 but with 3 rather than 2. Note that in * an uncompressed encoding, these would have the opposite ordering */ pk1_ser[0] = 3; @@ -6642,6 +6622,161 @@ static void run_pubkey_comparison(void) { CHECK(secp256k1_ec_pubkey_cmp(CTX, &pk2, &pk1) > 0); } +static void test_sort_helper(secp256k1_pubkey *pk, size_t *pk_order, size_t n_pk) { + size_t i; + const secp256k1_pubkey *pk_test[5]; + + for (i = 0; i < n_pk; i++) { + pk_test[i] = &pk[pk_order[i]]; + } + secp256k1_ec_pubkey_sort(CTX, pk_test, n_pk); + for (i = 0; i < n_pk; i++) { + CHECK(secp256k1_memcmp_var(pk_test[i], &pk[i], sizeof(*pk_test[i])) == 0); + } +} + +static void permute(size_t *arr, size_t n) { + size_t i; + for (i = n - 1; i >= 1; i--) { + size_t tmp, j; + j = testrand_int(i + 1); + tmp = arr[i]; + arr[i] = arr[j]; + arr[j] = tmp; + } +} + +static void test_sort_api(void) { + secp256k1_pubkey pks[2]; + const secp256k1_pubkey *pks_ptr[2]; + int i; + + pks_ptr[0] = &pks[0]; + pks_ptr[1] = &pks[1]; + + testutil_random_pubkey_test(&pks[0]); + testutil_random_pubkey_test(&pks[1]); + + CHECK(secp256k1_ec_pubkey_sort(CTX, pks_ptr, 2) == 1); + /* check that NULL in array of public key pointers is not allowed */ + for (i = 0; i < 2; i++) { + const secp256k1_pubkey *original_ptr = pks_ptr[i]; + pks_ptr[i] = NULL; + CHECK_ILLEGAL(CTX, secp256k1_ec_pubkey_sort(CTX, pks_ptr, 2)); + pks_ptr[i] = original_ptr; + } + CHECK_ILLEGAL(CTX, secp256k1_ec_pubkey_sort(CTX, NULL, 2)); + CHECK(secp256k1_ec_pubkey_sort(CTX, pks_ptr, 0) == 1); + /* Test illegal public keys */ + memset(&pks[0], 0, sizeof(pks[0])); + CHECK_ILLEGAL_VOID(CTX, CHECK(secp256k1_ec_pubkey_sort(CTX, pks_ptr, 2) == 1)); + memset(&pks[1], 0, sizeof(pks[1])); + { + int32_t ecount = 0; + secp256k1_context_set_illegal_callback(CTX, counting_callback_fn, &ecount); + CHECK(secp256k1_ec_pubkey_sort(CTX, pks_ptr, 2) == 1); + CHECK(ecount == 2); + secp256k1_context_set_illegal_callback(CTX, NULL, NULL); + } +} + +static void test_sort(void) { + secp256k1_pubkey pk[5]; + unsigned char pk_ser[5][33] = { + { 0x02, 0x08 }, + { 0x02, 0x0b }, + { 0x02, 0x0c }, + { 0x03, 0x05 }, + { 0x03, 0x0a }, + }; + int i; + size_t pk_order[5] = { 0, 1, 2, 3, 4 }; + + for (i = 0; i < 5; i++) { + CHECK(secp256k1_ec_pubkey_parse(CTX, &pk[i], pk_ser[i], sizeof(pk_ser[i]))); + } + + permute(pk_order, 1); + test_sort_helper(pk, pk_order, 1); + permute(pk_order, 2); + test_sort_helper(pk, pk_order, 2); + permute(pk_order, 3); + test_sort_helper(pk, pk_order, 3); + for (i = 0; i < COUNT; i++) { + permute(pk_order, 4); + test_sort_helper(pk, pk_order, 4); + } + for (i = 0; i < COUNT; i++) { + permute(pk_order, 5); + test_sort_helper(pk, pk_order, 5); + } + /* Check that sorting also works for random pubkeys */ + for (i = 0; i < COUNT; i++) { + int j; + const secp256k1_pubkey *pk_ptr[5]; + for (j = 0; j < 5; j++) { + testutil_random_pubkey_test(&pk[j]); + pk_ptr[j] = &pk[j]; + } + secp256k1_ec_pubkey_sort(CTX, pk_ptr, 5); + for (j = 1; j < 5; j++) { + CHECK(secp256k1_ec_pubkey_sort_cmp(&pk_ptr[j - 1], &pk_ptr[j], CTX) <= 0); + } + } +} + +/* Test vectors from BIP-MuSig2 */ +static void test_sort_vectors(void) { + enum { N_PUBKEYS = 6 }; + unsigned char pk_ser[N_PUBKEYS][33] = { + { 0x02, 0xDD, 0x30, 0x8A, 0xFE, 0xC5, 0x77, 0x7E, 0x13, 0x12, 0x1F, + 0xA7, 0x2B, 0x9C, 0xC1, 0xB7, 0xCC, 0x01, 0x39, 0x71, 0x53, 0x09, + 0xB0, 0x86, 0xC9, 0x60, 0xE1, 0x8F, 0xD9, 0x69, 0x77, 0x4E, 0xB8 }, + { 0x02, 0xF9, 0x30, 0x8A, 0x01, 0x92, 0x58, 0xC3, 0x10, 0x49, 0x34, + 0x4F, 0x85, 0xF8, 0x9D, 0x52, 0x29, 0xB5, 0x31, 0xC8, 0x45, 0x83, + 0x6F, 0x99, 0xB0, 0x86, 0x01, 0xF1, 0x13, 0xBC, 0xE0, 0x36, 0xF9 }, + { 0x03, 0xDF, 0xF1, 0xD7, 0x7F, 0x2A, 0x67, 0x1C, 0x5F, 0x36, 0x18, + 0x37, 0x26, 0xDB, 0x23, 0x41, 0xBE, 0x58, 0xFE, 0xAE, 0x1D, 0xA2, + 0xDE, 0xCE, 0xD8, 0x43, 0x24, 0x0F, 0x7B, 0x50, 0x2B, 0xA6, 0x59 }, + { 0x02, 0x35, 0x90, 0xA9, 0x4E, 0x76, 0x8F, 0x8E, 0x18, 0x15, 0xC2, + 0xF2, 0x4B, 0x4D, 0x80, 0xA8, 0xE3, 0x14, 0x93, 0x16, 0xC3, 0x51, + 0x8C, 0xE7, 0xB7, 0xAD, 0x33, 0x83, 0x68, 0xD0, 0x38, 0xCA, 0x66 }, + { 0x02, 0xDD, 0x30, 0x8A, 0xFE, 0xC5, 0x77, 0x7E, 0x13, 0x12, 0x1F, + 0xA7, 0x2B, 0x9C, 0xC1, 0xB7, 0xCC, 0x01, 0x39, 0x71, 0x53, 0x09, + 0xB0, 0x86, 0xC9, 0x60, 0xE1, 0x8F, 0xD9, 0x69, 0x77, 0x4E, 0xFF }, + { 0x02, 0xDD, 0x30, 0x8A, 0xFE, 0xC5, 0x77, 0x7E, 0x13, 0x12, 0x1F, + 0xA7, 0x2B, 0x9C, 0xC1, 0xB7, 0xCC, 0x01, 0x39, 0x71, 0x53, 0x09, + 0xB0, 0x86, 0xC9, 0x60, 0xE1, 0x8F, 0xD9, 0x69, 0x77, 0x4E, 0xB8 } + }; + secp256k1_pubkey pubkeys[N_PUBKEYS]; + secp256k1_pubkey *sorted[N_PUBKEYS]; + const secp256k1_pubkey *pks_ptr[N_PUBKEYS]; + int i; + + sorted[0] = &pubkeys[3]; + sorted[1] = &pubkeys[0]; + sorted[2] = &pubkeys[0]; + sorted[3] = &pubkeys[4]; + sorted[4] = &pubkeys[1]; + sorted[5] = &pubkeys[2]; + + for (i = 0; i < N_PUBKEYS; i++) { + CHECK(secp256k1_ec_pubkey_parse(CTX, &pubkeys[i], pk_ser[i], sizeof(pk_ser[i]))); + pks_ptr[i] = &pubkeys[i]; + } + CHECK(secp256k1_ec_pubkey_sort(CTX, pks_ptr, N_PUBKEYS) == 1); + for (i = 0; i < N_PUBKEYS; i++) { + CHECK(secp256k1_memcmp_var(pks_ptr[i], sorted[i], sizeof(secp256k1_pubkey)) == 0); + } +} + +static void run_pubkey_sort(void) { + test_sort_api(); + test_sort(); + test_sort_vectors(); +} + + static void run_random_pubkeys(void) { int i; for (i = 0; i < 10*COUNT; i++) { @@ -6730,27 +6865,27 @@ static void assign_big_endian(unsigned char *ptr, size_t ptrlen, uint32_t val) { static void damage_array(unsigned char *sig, size_t *len) { int pos; - int action = secp256k1_testrand_bits(3); + int action = testrand_bits(3); if (action < 1 && *len > 3) { /* Delete a byte. */ - pos = secp256k1_testrand_int(*len); + pos = testrand_int(*len); memmove(sig + pos, sig + pos + 1, *len - pos - 1); (*len)--; return; } else if (action < 2 && *len < 2048) { /* Insert a byte. */ - pos = secp256k1_testrand_int(1 + *len); + pos = testrand_int(1 + *len); memmove(sig + pos + 1, sig + pos, *len - pos); - sig[pos] = secp256k1_testrand_bits(8); + sig[pos] = testrand_bits(8); (*len)++; return; } else if (action < 4) { /* Modify a byte. */ - sig[secp256k1_testrand_int(*len)] += 1 + secp256k1_testrand_int(255); + sig[testrand_int(*len)] += 1 + testrand_int(255); return; } else { /* action < 8 */ /* Modify a bit. */ - sig[secp256k1_testrand_int(*len)] ^= 1 << secp256k1_testrand_bits(3); + sig[testrand_int(*len)] ^= 1 << testrand_bits(3); return; } } @@ -6763,23 +6898,23 @@ static void random_ber_signature(unsigned char *sig, size_t *len, int* certainly int n; *len = 0; - der = secp256k1_testrand_bits(2) == 0; + der = testrand_bits(2) == 0; *certainly_der = der; *certainly_not_der = 0; - indet = der ? 0 : secp256k1_testrand_int(10) == 0; + indet = der ? 0 : testrand_int(10) == 0; for (n = 0; n < 2; n++) { /* We generate two classes of numbers: nlow==1 "low" ones (up to 32 bytes), nlow==0 "high" ones (32 bytes with 129 top bits set, or larger than 32 bytes) */ - nlow[n] = der ? 1 : (secp256k1_testrand_bits(3) != 0); + nlow[n] = der ? 1 : (testrand_bits(3) != 0); /* The length of the number in bytes (the first byte of which will always be nonzero) */ - nlen[n] = nlow[n] ? secp256k1_testrand_int(33) : 32 + secp256k1_testrand_int(200) * secp256k1_testrand_bits(3) / 8; + nlen[n] = nlow[n] ? testrand_int(33) : 32 + testrand_int(200) * testrand_bits(3) / 8; CHECK(nlen[n] <= 232); /* The top bit of the number. */ - nhbit[n] = (nlow[n] == 0 && nlen[n] == 32) ? 1 : (nlen[n] == 0 ? 0 : secp256k1_testrand_bits(1)); + nhbit[n] = (nlow[n] == 0 && nlen[n] == 32) ? 1 : (nlen[n] == 0 ? 0 : testrand_bits(1)); /* The top byte of the number (after the potential hardcoded 16 0xFF characters for "high" 32 bytes numbers) */ - nhbyte[n] = nlen[n] == 0 ? 0 : (nhbit[n] ? 128 + secp256k1_testrand_bits(7) : 1 + secp256k1_testrand_int(127)); + nhbyte[n] = nlen[n] == 0 ? 0 : (nhbit[n] ? 128 + testrand_bits(7) : 1 + testrand_int(127)); /* The number of zero bytes in front of the number (which is 0 or 1 in case of DER, otherwise we extend up to 300 bytes) */ - nzlen[n] = der ? ((nlen[n] == 0 || nhbit[n]) ? 1 : 0) : (nlow[n] ? secp256k1_testrand_int(3) : secp256k1_testrand_int(300 - nlen[n]) * secp256k1_testrand_bits(3) / 8); + nzlen[n] = der ? ((nlen[n] == 0 || nhbit[n]) ? 1 : 0) : (nlow[n] ? testrand_int(3) : testrand_int(300 - nlen[n]) * testrand_bits(3) / 8); if (nzlen[n] > ((nlen[n] == 0 || nhbit[n]) ? 1 : 0)) { *certainly_not_der = 1; } @@ -6788,7 +6923,7 @@ static void random_ber_signature(unsigned char *sig, size_t *len, int* certainly nlenlen[n] = nlen[n] + nzlen[n] < 128 ? 0 : (nlen[n] + nzlen[n] < 256 ? 1 : 2); if (!der) { /* nlenlen[n] max 127 bytes */ - int add = secp256k1_testrand_int(127 - nlenlen[n]) * secp256k1_testrand_bits(4) * secp256k1_testrand_bits(4) / 256; + int add = testrand_int(127 - nlenlen[n]) * testrand_bits(4) * testrand_bits(4) / 256; nlenlen[n] += add; if (add != 0) { *certainly_not_der = 1; @@ -6802,7 +6937,7 @@ static void random_ber_signature(unsigned char *sig, size_t *len, int* certainly CHECK(tlen <= 856); /* The length of the garbage inside the tuple. */ - elen = (der || indet) ? 0 : secp256k1_testrand_int(980 - tlen) * secp256k1_testrand_bits(3) / 8; + elen = (der || indet) ? 0 : testrand_int(980 - tlen) * testrand_bits(3) / 8; if (elen != 0) { *certainly_not_der = 1; } @@ -6810,7 +6945,7 @@ static void random_ber_signature(unsigned char *sig, size_t *len, int* certainly CHECK(tlen <= 980); /* The length of the garbage after the end of the tuple. */ - glen = der ? 0 : secp256k1_testrand_int(990 - tlen) * secp256k1_testrand_bits(3) / 8; + glen = der ? 0 : testrand_int(990 - tlen) * testrand_bits(3) / 8; if (glen != 0) { *certainly_not_der = 1; } @@ -6825,7 +6960,7 @@ static void random_ber_signature(unsigned char *sig, size_t *len, int* certainly } else { int tlenlen = tlen < 128 ? 0 : (tlen < 256 ? 1 : 2); if (!der) { - int add = secp256k1_testrand_int(127 - tlenlen) * secp256k1_testrand_bits(4) * secp256k1_testrand_bits(4) / 256; + int add = testrand_int(127 - tlenlen) * testrand_bits(4) * testrand_bits(4) / 256; tlenlen += add; if (add != 0) { *certainly_not_der = 1; @@ -6876,13 +7011,13 @@ static void random_ber_signature(unsigned char *sig, size_t *len, int* certainly nlen[n]--; } /* Generate remaining random bytes of number */ - secp256k1_testrand_bytes_test(sig + *len, nlen[n]); + testrand_bytes_test(sig + *len, nlen[n]); *len += nlen[n]; nlen[n] = 0; } /* Generate random garbage inside tuple. */ - secp256k1_testrand_bytes_test(sig + *len, elen); + testrand_bytes_test(sig + *len, elen); *len += elen; /* Generate end-of-contents bytes. */ @@ -6894,7 +7029,7 @@ static void random_ber_signature(unsigned char *sig, size_t *len, int* certainly CHECK(tlen + glen <= 1121); /* Generate random garbage outside tuple. */ - secp256k1_testrand_bytes_test(sig + *len, glen); + testrand_bytes_test(sig + *len, glen); *len += glen; tlen += glen; CHECK(tlen <= 1121); @@ -7103,7 +7238,6 @@ static void test_ecdsa_edge_cases(void) { { secp256k1_pubkey pubkey; size_t siglen; - int32_t ecount; unsigned char signature[72]; static const unsigned char nonce[32] = { 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, @@ -7129,72 +7263,42 @@ static void test_ecdsa_edge_cases(void) { 0xb8, 0x12, 0xe0, 0x0b, 0x81, 0x7a, 0x77, 0x62, 0x65, 0xdf, 0xdd, 0x31, 0xb9, 0x3e, 0x29, 0xa9, }; - ecount = 0; - secp256k1_context_set_illegal_callback(CTX, counting_illegal_callback_fn, &ecount); CHECK(secp256k1_ecdsa_sign(CTX, &sig, msg, key, precomputed_nonce_function, nonce) == 0); CHECK(secp256k1_ecdsa_sign(CTX, &sig, msg, key, precomputed_nonce_function, nonce2) == 0); msg[31] = 0xaa; CHECK(secp256k1_ecdsa_sign(CTX, &sig, msg, key, precomputed_nonce_function, nonce) == 1); - CHECK(ecount == 0); - CHECK(secp256k1_ecdsa_sign(CTX, NULL, msg, key, precomputed_nonce_function, nonce2) == 0); - CHECK(ecount == 1); - CHECK(secp256k1_ecdsa_sign(CTX, &sig, NULL, key, precomputed_nonce_function, nonce2) == 0); - CHECK(ecount == 2); - CHECK(secp256k1_ecdsa_sign(CTX, &sig, msg, NULL, precomputed_nonce_function, nonce2) == 0); - CHECK(ecount == 3); + CHECK_ILLEGAL(CTX, secp256k1_ecdsa_sign(CTX, NULL, msg, key, precomputed_nonce_function, nonce2)); + CHECK_ILLEGAL(CTX, secp256k1_ecdsa_sign(CTX, &sig, NULL, key, precomputed_nonce_function, nonce2)); + CHECK_ILLEGAL(CTX, secp256k1_ecdsa_sign(CTX, &sig, msg, NULL, precomputed_nonce_function, nonce2)); CHECK(secp256k1_ecdsa_sign(CTX, &sig, msg, key, precomputed_nonce_function, nonce2) == 1); CHECK(secp256k1_ec_pubkey_create(CTX, &pubkey, key) == 1); - CHECK(secp256k1_ecdsa_verify(CTX, NULL, msg, &pubkey) == 0); - CHECK(ecount == 4); - CHECK(secp256k1_ecdsa_verify(CTX, &sig, NULL, &pubkey) == 0); - CHECK(ecount == 5); - CHECK(secp256k1_ecdsa_verify(CTX, &sig, msg, NULL) == 0); - CHECK(ecount == 6); + CHECK_ILLEGAL(CTX, secp256k1_ecdsa_verify(CTX, NULL, msg, &pubkey)); + CHECK_ILLEGAL(CTX, secp256k1_ecdsa_verify(CTX, &sig, NULL, &pubkey)); + CHECK_ILLEGAL(CTX, secp256k1_ecdsa_verify(CTX, &sig, msg, NULL)); CHECK(secp256k1_ecdsa_verify(CTX, &sig, msg, &pubkey) == 1); - CHECK(ecount == 6); - CHECK(secp256k1_ec_pubkey_create(CTX, &pubkey, NULL) == 0); - CHECK(ecount == 7); + CHECK_ILLEGAL(CTX, secp256k1_ec_pubkey_create(CTX, &pubkey, NULL)); /* That pubkeyload fails via an ARGCHECK is a little odd but makes sense because pubkeys are an opaque data type. */ - CHECK(secp256k1_ecdsa_verify(CTX, &sig, msg, &pubkey) == 0); - CHECK(ecount == 8); + CHECK_ILLEGAL(CTX, secp256k1_ecdsa_verify(CTX, &sig, msg, &pubkey)); siglen = 72; - CHECK(secp256k1_ecdsa_signature_serialize_der(CTX, NULL, &siglen, &sig) == 0); - CHECK(ecount == 9); - CHECK(secp256k1_ecdsa_signature_serialize_der(CTX, signature, NULL, &sig) == 0); - CHECK(ecount == 10); - CHECK(secp256k1_ecdsa_signature_serialize_der(CTX, signature, &siglen, NULL) == 0); - CHECK(ecount == 11); + CHECK_ILLEGAL(CTX, secp256k1_ecdsa_signature_serialize_der(CTX, NULL, &siglen, &sig)); + CHECK_ILLEGAL(CTX, secp256k1_ecdsa_signature_serialize_der(CTX, signature, NULL, &sig)); + CHECK_ILLEGAL(CTX, secp256k1_ecdsa_signature_serialize_der(CTX, signature, &siglen, NULL)); CHECK(secp256k1_ecdsa_signature_serialize_der(CTX, signature, &siglen, &sig) == 1); - CHECK(ecount == 11); - CHECK(secp256k1_ecdsa_signature_parse_der(CTX, NULL, signature, siglen) == 0); - CHECK(ecount == 12); - CHECK(secp256k1_ecdsa_signature_parse_der(CTX, &sig, NULL, siglen) == 0); - CHECK(ecount == 13); + CHECK_ILLEGAL(CTX, secp256k1_ecdsa_signature_parse_der(CTX, NULL, signature, siglen)); + CHECK_ILLEGAL(CTX, secp256k1_ecdsa_signature_parse_der(CTX, &sig, NULL, siglen)); CHECK(secp256k1_ecdsa_signature_parse_der(CTX, &sig, signature, siglen) == 1); - CHECK(ecount == 13); siglen = 10; /* Too little room for a signature does not fail via ARGCHECK. */ CHECK(secp256k1_ecdsa_signature_serialize_der(CTX, signature, &siglen, &sig) == 0); - CHECK(ecount == 13); - ecount = 0; - CHECK(secp256k1_ecdsa_signature_normalize(CTX, NULL, NULL) == 0); - CHECK(ecount == 1); - CHECK(secp256k1_ecdsa_signature_serialize_compact(CTX, NULL, &sig) == 0); - CHECK(ecount == 2); - CHECK(secp256k1_ecdsa_signature_serialize_compact(CTX, signature, NULL) == 0); - CHECK(ecount == 3); + CHECK_ILLEGAL(CTX, secp256k1_ecdsa_signature_normalize(CTX, NULL, NULL)); + CHECK_ILLEGAL(CTX, secp256k1_ecdsa_signature_serialize_compact(CTX, NULL, &sig)); + CHECK_ILLEGAL(CTX, secp256k1_ecdsa_signature_serialize_compact(CTX, signature, NULL)); CHECK(secp256k1_ecdsa_signature_serialize_compact(CTX, signature, &sig) == 1); - CHECK(ecount == 3); - CHECK(secp256k1_ecdsa_signature_parse_compact(CTX, NULL, signature) == 0); - CHECK(ecount == 4); - CHECK(secp256k1_ecdsa_signature_parse_compact(CTX, &sig, NULL) == 0); - CHECK(ecount == 5); + CHECK_ILLEGAL(CTX, secp256k1_ecdsa_signature_parse_compact(CTX, NULL, signature)); + CHECK_ILLEGAL(CTX, secp256k1_ecdsa_signature_parse_compact(CTX, &sig, NULL)); CHECK(secp256k1_ecdsa_signature_parse_compact(CTX, &sig, signature) == 1); - CHECK(ecount == 5); memset(signature, 255, 64); CHECK(secp256k1_ecdsa_signature_parse_compact(CTX, &sig, signature) == 0); - CHECK(ecount == 5); - secp256k1_context_set_illegal_callback(CTX, NULL, NULL); } /* Nonce function corner cases. */ @@ -7289,12 +7393,7 @@ static void test_ecdsa_edge_cases(void) { /* Privkey export where pubkey is the point at infinity. */ { unsigned char privkey[300]; - unsigned char seckey[32] = { - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, - 0xba, 0xae, 0xdc, 0xe6, 0xaf, 0x48, 0xa0, 0x3b, - 0xbf, 0xd2, 0x5e, 0x8c, 0xd0, 0x36, 0x41, 0x41, - }; + const unsigned char *seckey = secp256k1_group_order_bytes; size_t outlen = 300; CHECK(!ec_privkey_export_der(CTX, privkey, &outlen, seckey, 0)); outlen = 300; @@ -7306,6 +7405,44 @@ static void run_ecdsa_edge_cases(void) { test_ecdsa_edge_cases(); } +/** Wycheproof tests + +The tests check for known attacks (range checks in (r,s), arithmetic errors, malleability). +*/ +static void test_ecdsa_wycheproof(void) { + #include "wycheproof/ecdsa_secp256k1_sha256_bitcoin_test.h" + + int t; + for (t = 0; t < SECP256K1_ECDSA_WYCHEPROOF_NUMBER_TESTVECTORS; t++) { + secp256k1_ecdsa_signature signature; + secp256k1_sha256 hasher; + secp256k1_pubkey pubkey; + const unsigned char *msg, *sig, *pk; + unsigned char out[32] = {0}; + int actual_verify = 0; + + memset(&pubkey, 0, sizeof(pubkey)); + pk = &wycheproof_ecdsa_public_keys[testvectors[t].pk_offset]; + CHECK(secp256k1_ec_pubkey_parse(CTX, &pubkey, pk, 65) == 1); + + secp256k1_sha256_initialize(&hasher); + msg = &wycheproof_ecdsa_messages[testvectors[t].msg_offset]; + secp256k1_sha256_write(&hasher, msg, testvectors[t].msg_len); + secp256k1_sha256_finalize(&hasher, out); + + sig = &wycheproof_ecdsa_signatures[testvectors[t].sig_offset]; + if (secp256k1_ecdsa_signature_parse_der(CTX, &signature, sig, testvectors[t].sig_len) == 1) { + actual_verify = secp256k1_ecdsa_verify(CTX, (const secp256k1_ecdsa_signature *)&signature, out, &pubkey); + } + CHECK(testvectors[t].expected_verify == actual_verify); + } +} + +/* Tests cases from Wycheproof test suite. */ +static void run_ecdsa_wycheproof(void) { + test_ecdsa_wycheproof(); +} + #ifdef ENABLE_MODULE_ECDH # include "modules/ecdh/tests_impl.h" #endif @@ -7322,6 +7459,14 @@ static void run_ecdsa_edge_cases(void) { # include "modules/schnorrsig/tests_impl.h" #endif +#ifdef ENABLE_MODULE_MUSIG +# include "modules/musig/tests_impl.h" +#endif + +#ifdef ENABLE_MODULE_ELLSWIFT +# include "modules/ellswift/tests_impl.h" +#endif + static void run_secp256k1_memczero_test(void) { unsigned char buf1[6] = {1, 2, 3, 4, 5, 6}; unsigned char buf2[sizeof(buf1)]; @@ -7337,17 +7482,44 @@ static void run_secp256k1_memczero_test(void) { CHECK(secp256k1_memcmp_var(buf1, buf2, sizeof(buf1)) == 0); } + +static void run_secp256k1_is_zero_array_test(void) { + unsigned char buf1[3] = {0, 1}; + unsigned char buf2[3] = {1, 0}; + + CHECK(secp256k1_is_zero_array(buf1, 0) == 1); + CHECK(secp256k1_is_zero_array(buf1, 1) == 1); + CHECK(secp256k1_is_zero_array(buf1, 2) == 0); + CHECK(secp256k1_is_zero_array(buf2, 1) == 0); + CHECK(secp256k1_is_zero_array(buf2, 2) == 0); +} + static void run_secp256k1_byteorder_tests(void) { - const uint32_t x = 0xFF03AB45; - const unsigned char x_be[4] = {0xFF, 0x03, 0xAB, 0x45}; - unsigned char buf[4]; - uint32_t x_; + { + const uint32_t x = 0xFF03AB45; + const unsigned char x_be[4] = {0xFF, 0x03, 0xAB, 0x45}; + unsigned char buf[4]; + uint32_t x_; + + secp256k1_write_be32(buf, x); + CHECK(secp256k1_memcmp_var(buf, x_be, sizeof(buf)) == 0); + + x_ = secp256k1_read_be32(buf); + CHECK(x == x_); + } + + { + const uint64_t x = 0xCAFE0123BEEF4567; + const unsigned char x_be[8] = {0xCA, 0xFE, 0x01, 0x23, 0xBE, 0xEF, 0x45, 0x67}; + unsigned char buf[8]; + uint64_t x_; - secp256k1_write_be32(buf, x); - CHECK(secp256k1_memcmp_var(buf, x_be, sizeof(buf)) == 0); + secp256k1_write_be64(buf, x); + CHECK(secp256k1_memcmp_var(buf, x_be, sizeof(buf)) == 0); - x_ = secp256k1_read_be32(buf); - CHECK(x == x_); + x_ = secp256k1_read_be64(buf); + CHECK(x == x_); + } } static void int_cmov_test(void) { @@ -7386,23 +7558,23 @@ static void fe_cmov_test(void) { secp256k1_fe a = zero; secp256k1_fe_cmov(&r, &a, 0); - CHECK(secp256k1_memcmp_var(&r, &max, sizeof(r)) == 0); + CHECK(fe_identical(&r, &max)); r = zero; a = max; secp256k1_fe_cmov(&r, &a, 1); - CHECK(secp256k1_memcmp_var(&r, &max, sizeof(r)) == 0); + CHECK(fe_identical(&r, &max)); a = zero; secp256k1_fe_cmov(&r, &a, 1); - CHECK(secp256k1_memcmp_var(&r, &zero, sizeof(r)) == 0); + CHECK(fe_identical(&r, &zero)); a = one; secp256k1_fe_cmov(&r, &a, 1); - CHECK(secp256k1_memcmp_var(&r, &one, sizeof(r)) == 0); + CHECK(fe_identical(&r, &one)); r = one; a = zero; secp256k1_fe_cmov(&r, &a, 0); - CHECK(secp256k1_memcmp_var(&r, &one, sizeof(r)) == 0); + CHECK(fe_identical(&r, &one)); } static void fe_storage_cmov_test(void) { @@ -7436,33 +7608,31 @@ static void fe_storage_cmov_test(void) { } static void scalar_cmov_test(void) { - static const secp256k1_scalar zero = SECP256K1_SCALAR_CONST(0, 0, 0, 0, 0, 0, 0, 0); - static const secp256k1_scalar one = SECP256K1_SCALAR_CONST(0, 0, 0, 0, 0, 0, 0, 1); static const secp256k1_scalar max = SECP256K1_SCALAR_CONST( - 0xFFFFFFFFUL, 0xFFFFFFFFUL, 0xFFFFFFFFUL, 0xFFFFFFFFUL, - 0xFFFFFFFFUL, 0xFFFFFFFFUL, 0xFFFFFFFFUL, 0xFFFFFFFFUL + 0xFFFFFFFFUL, 0xFFFFFFFFUL, 0xFFFFFFFFUL, 0xFFFFFFFEUL, + 0xBAAEDCE6UL, 0xAF48A03BUL, 0xBFD25E8CUL, 0xD0364140UL ); secp256k1_scalar r = max; - secp256k1_scalar a = zero; + secp256k1_scalar a = secp256k1_scalar_zero; secp256k1_scalar_cmov(&r, &a, 0); CHECK(secp256k1_memcmp_var(&r, &max, sizeof(r)) == 0); - r = zero; a = max; + r = secp256k1_scalar_zero; a = max; secp256k1_scalar_cmov(&r, &a, 1); CHECK(secp256k1_memcmp_var(&r, &max, sizeof(r)) == 0); - a = zero; + a = secp256k1_scalar_zero; secp256k1_scalar_cmov(&r, &a, 1); - CHECK(secp256k1_memcmp_var(&r, &zero, sizeof(r)) == 0); + CHECK(secp256k1_memcmp_var(&r, &secp256k1_scalar_zero, sizeof(r)) == 0); - a = one; + a = secp256k1_scalar_one; secp256k1_scalar_cmov(&r, &a, 1); - CHECK(secp256k1_memcmp_var(&r, &one, sizeof(r)) == 0); + CHECK(secp256k1_memcmp_var(&r, &secp256k1_scalar_one, sizeof(r)) == 0); - r = one; a = zero; + r = secp256k1_scalar_one; a = secp256k1_scalar_zero; secp256k1_scalar_cmov(&r, &a, 0); - CHECK(secp256k1_memcmp_var(&r, &one, sizeof(r)) == 0); + CHECK(secp256k1_memcmp_var(&r, &secp256k1_scalar_one, sizeof(r)) == 0); } static void ge_storage_cmov_test(void) { @@ -7505,165 +7675,177 @@ static void run_cmov_tests(void) { ge_storage_cmov_test(); } -int main(int argc, char **argv) { - /* Disable buffering for stdout to improve reliability of getting - * diagnostic information. Happens right at the start of main because - * setbuf must be used before any other operation on the stream. */ - setbuf(stdout, NULL); - /* Also disable buffering for stderr because it's not guaranteed that it's - * unbuffered on all systems. */ - setbuf(stderr, NULL); - - /* find iteration count */ - if (argc > 1) { - COUNT = strtol(argv[1], NULL, 0); - } else { - const char* env = getenv("SECP256K1_TEST_ITERS"); - if (env && strlen(env) > 0) { - COUNT = strtol(env, NULL, 0); - } - } - if (COUNT <= 0) { - fputs("An iteration count of 0 or less is not allowed.\n", stderr); - return EXIT_FAILURE; - } - printf("test count = %i\n", COUNT); +/* --------------------------------------------------------- */ +/* Test Registry */ +/* --------------------------------------------------------- */ - /* find random seed */ - secp256k1_testrand_init(argc > 2 ? argv[2] : NULL); +/* --- Special test cases that must run before RNG initialization --- */ +static const struct tf_test_entry tests_no_rng[] = { + CASE(xoshiro256pp_tests), +}; +static const struct tf_test_module registry_modules_no_rng = MAKE_TEST_MODULE(no_rng); + +/* --- Standard test cases start here --- */ +static const struct tf_test_entry tests_general[] = { + CASE(selftest_tests), + CASE(all_proper_context_tests), + CASE(all_static_context_tests), + CASE(deprecated_context_flags_test), + CASE(scratch_tests), +}; - /*** Setup test environment ***/ +static const struct tf_test_entry tests_integer[] = { +#ifdef SECP256K1_WIDEMUL_INT128 + CASE(int128_tests), +#endif + CASE(ctz_tests), + CASE(modinv_tests), + CASE(inverse_tests), +}; - /* Create a global context available to all tests */ - CTX = secp256k1_context_create(SECP256K1_CONTEXT_NONE); - /* Randomize the context only with probability 15/16 - to make sure we test without context randomization from time to time. - TODO Reconsider this when recalibrating the tests. */ - if (secp256k1_testrand_bits(4)) { - unsigned char rand32[32]; - secp256k1_testrand256(rand32); - CHECK(secp256k1_context_randomize(CTX, rand32)); - } - /* Make a writable copy of secp256k1_context_static in order to test the effect of API functions - that write to the context. The API does not support cloning the static context, so we use - memcpy instead. The user is not supposed to copy a context but we should still ensure that - the API functions handle copies of the static context gracefully. */ - STATIC_CTX = malloc(sizeof(*secp256k1_context_static)); - CHECK(STATIC_CTX != NULL); - memcpy(STATIC_CTX, secp256k1_context_static, sizeof(secp256k1_context)); - CHECK(!secp256k1_context_is_proper(STATIC_CTX)); +static const struct tf_test_entry tests_hash[] = { + CASE(sha256_known_output_tests), + CASE(sha256_counter_tests), + CASE(hmac_sha256_tests), + CASE(rfc6979_hmac_sha256_tests), + CASE(tagged_sha256_tests), +}; - /*** Run actual tests ***/ +static const struct tf_test_entry tests_scalar[] = { + CASE(scalar_tests), +}; - /* selftest tests */ - run_selftest_tests(); +static const struct tf_test_entry tests_field[] = { + CASE(field_half), + CASE(field_misc), + CASE(field_convert), + CASE(field_be32_overflow), + CASE(fe_mul), + CASE(sqr), + CASE(sqrt), +}; - /* context tests */ - run_proper_context_tests(0); run_proper_context_tests(1); - run_static_context_tests(0); run_static_context_tests(1); - run_deprecated_context_flags_test(); +static const struct tf_test_entry tests_group[] = { + CASE(ge), + CASE(gej), + CASE(group_decompress), +}; - /* scratch tests */ - run_scratch_tests(); +static const struct tf_test_entry tests_ecmult[] = { + CASE(ecmult_pre_g), + CASE(wnaf), + CASE(point_times_order), + CASE(ecmult_near_split_bound), + CASE(ecmult_chain), + CASE(ecmult_constants), + CASE(ecmult_gen_blind), + CASE(ecmult_const_tests), + CASE(ecmult_multi_tests), + CASE(ec_combine), +}; - /* randomness tests */ - run_rand_bits(); - run_rand_int(); +static const struct tf_test_entry tests_ec[] = { + CASE(endomorphism_tests), + CASE(ec_pubkey_parse_test), + CASE(eckey_edge_case_test), + CASE(eckey_negate_test), +}; - /* integer arithmetic tests */ -#ifdef SECP256K1_WIDEMUL_INT128 - run_int128_tests(); -#endif - run_ctz_tests(); - run_modinv_tests(); - run_inverse_tests(); - - /* hash tests */ - run_sha256_known_output_tests(); - run_sha256_counter_tests(); - run_hmac_sha256_tests(); - run_rfc6979_hmac_sha256_tests(); - run_tagged_sha256_tests(); - - /* scalar tests */ - run_scalar_tests(); - - /* field tests */ - run_field_half(); - run_field_misc(); - run_field_convert(); - run_fe_mul(); - run_sqr(); - run_sqrt(); - - /* group tests */ - run_ge(); - run_gej(); - run_group_decompress(); - - /* ecmult tests */ - run_ecmult_pre_g(); - run_wnaf(); - run_point_times_order(); - run_ecmult_near_split_bound(); - run_ecmult_chain(); - run_ecmult_constants(); - run_ecmult_gen_blind(); - run_ecmult_const_tests(); - run_ecmult_multi_tests(); - run_ec_combine(); - - /* endomorphism tests */ - run_endomorphism_tests(); - - /* EC point parser test */ - run_ec_pubkey_parse_test(); - - /* EC key edge cases */ - run_eckey_edge_case_test(); - - /* EC key arithmetic test */ - run_eckey_negate_test(); +static const struct tf_test_entry tests_ecdsa[] = { + CASE(ec_illegal_argument_tests), + CASE(pubkey_comparison), + CASE(pubkey_sort), + CASE(random_pubkeys), + CASE(ecdsa_der_parse), + CASE(ecdsa_sign_verify), + CASE(ecdsa_end_to_end), + CASE(ecdsa_edge_cases), + CASE(ecdsa_wycheproof), +}; + +static const struct tf_test_entry tests_utils[] = { + CASE(hsort_tests), + CASE(secp256k1_memczero_test), + CASE(secp256k1_is_zero_array_test), + CASE(secp256k1_byteorder_tests), + CASE(cmov_tests), +}; +/* Register test modules */ +static const struct tf_test_module registry_modules[] = { + MAKE_TEST_MODULE(general), + MAKE_TEST_MODULE(integer), + MAKE_TEST_MODULE(hash), + MAKE_TEST_MODULE(scalar), + MAKE_TEST_MODULE(field), + MAKE_TEST_MODULE(group), + MAKE_TEST_MODULE(ecmult), + MAKE_TEST_MODULE(ec), #ifdef ENABLE_MODULE_ECDH - /* ecdh tests */ - run_ecdh_tests(); + MAKE_TEST_MODULE(ecdh), #endif - - /* ecdsa tests */ - run_ec_illegal_argument_tests(); - run_pubkey_comparison(); - run_random_pubkeys(); - run_ecdsa_der_parse(); - run_ecdsa_sign_verify(); - run_ecdsa_end_to_end(); - run_ecdsa_edge_cases(); - + MAKE_TEST_MODULE(ecdsa), #ifdef ENABLE_MODULE_RECOVERY /* ECDSA pubkey recovery tests */ - run_recovery_tests(); + MAKE_TEST_MODULE(recovery), #endif - #ifdef ENABLE_MODULE_EXTRAKEYS - run_extrakeys_tests(); + MAKE_TEST_MODULE(extrakeys), #endif - #ifdef ENABLE_MODULE_SCHNORRSIG - run_schnorrsig_tests(); + MAKE_TEST_MODULE(schnorrsig), #endif +#ifdef ENABLE_MODULE_MUSIG + MAKE_TEST_MODULE(musig), +#endif +#ifdef ENABLE_MODULE_ELLSWIFT + MAKE_TEST_MODULE(ellswift), +#endif + MAKE_TEST_MODULE(utils), +}; - /* util tests */ - run_secp256k1_memczero_test(); - run_secp256k1_byteorder_tests(); - - run_cmov_tests(); +/* Setup test environment */ +static int setup(void) { + /* Create a global context available to all tests */ + CTX = secp256k1_context_create(SECP256K1_CONTEXT_NONE); + /* Randomize the context only with probability 15/16 + to make sure we test without context randomization from time to time. + TODO Reconsider this when recalibrating the tests. */ + if (testrand_bits(4)) { + unsigned char rand32[32]; + testrand256(rand32); + CHECK(secp256k1_context_randomize(CTX, rand32)); + } + /* Make a writable copy of secp256k1_context_static in order to test the effect of API functions + that write to the context. The API does not support cloning the static context, so we use + memcpy instead. The user is not supposed to copy a context but we should still ensure that + the API functions handle copies of the static context gracefully. */ + STATIC_CTX = malloc(sizeof(*secp256k1_context_static)); + CHECK(STATIC_CTX != NULL); + memcpy(STATIC_CTX, secp256k1_context_static, sizeof(secp256k1_context)); + CHECK(!secp256k1_context_is_proper(STATIC_CTX)); + return 0; +} - /*** Tear down test environment ***/ +/* Shutdown test environment */ +static int teardown(void) { free(STATIC_CTX); secp256k1_context_destroy(CTX); + return 0; +} - secp256k1_testrand_finish(); +int main(int argc, char **argv) { + struct tf_framework tf = {0}; + tf.registry_modules = registry_modules; + tf.num_modules = sizeof(registry_modules) / sizeof(registry_modules[0]); + tf.registry_no_rng = ®istry_modules_no_rng; - printf("no problems found\n"); - return 0; + /* Add context creation/destruction functions */ + tf.fn_setup = setup; + tf.fn_teardown = teardown; + + /* Init and run framework */ + if (tf_init(&tf, argc, argv) != 0) return EXIT_FAILURE; + return tf_run(&tf); } + diff --git a/src/tests_common.h b/src/tests_common.h new file mode 100644 index 0000000000..a341633bbc --- /dev/null +++ b/src/tests_common.h @@ -0,0 +1,42 @@ +/*********************************************************************** + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ + +#ifndef SECP256K1_TESTS_COMMON_H +#define SECP256K1_TESTS_COMMON_H + +/*********************************************************************** + * Test Support Utilities + * + * This file provides general-purpose functions for tests and benchmark + * programs. Unlike testutil.h, this file is not linked to the library, + * allowing each program to choose whether to run against the production + * API or access library internals directly. + ***********************************************************************/ + +#include + +#if (defined(_MSC_VER) && _MSC_VER >= 1900) +# include +#else +# include +#endif + +static int64_t gettime_i64(void) { +#if (defined(_MSC_VER) && _MSC_VER >= 1900) + /* C11 way to get wallclock time */ + struct timespec tv; + if (!timespec_get(&tv, TIME_UTC)) { + fputs("timespec_get failed!", stderr); + exit(EXIT_FAILURE); + } + return (int64_t)tv.tv_nsec / 1000 + (int64_t)tv.tv_sec * 1000000LL; +#else + struct timeval tv; + gettimeofday(&tv, NULL); + return (int64_t)tv.tv_usec + (int64_t)tv.tv_sec * 1000000LL; +#endif +} + +#endif /* SECP256K1_TESTS_COMMON_H */ diff --git a/src/tests_exhaustive.c b/src/tests_exhaustive.c index 86b9334cae..f8bbcaaf5c 100644 --- a/src/tests_exhaustive.c +++ b/src/tests_exhaustive.c @@ -13,54 +13,26 @@ #define EXHAUSTIVE_TEST_ORDER 13 #endif +/* These values of B are all values in [1, 8] that result in a curve with even order. */ +#define EXHAUSTIVE_TEST_CURVE_HAS_EVEN_ORDER (SECP256K1_B == 1 || SECP256K1_B == 6 || SECP256K1_B == 8) + +#ifdef USE_EXTERNAL_DEFAULT_CALLBACKS + #pragma message("Ignoring USE_EXTERNAL_CALLBACKS in exhaustive_tests.") + #undef USE_EXTERNAL_DEFAULT_CALLBACKS +#endif #include "secp256k1.c" + #include "../include/secp256k1.h" #include "assumptions.h" #include "group.h" #include "testrand_impl.h" #include "ecmult_compute_table_impl.h" #include "ecmult_gen_compute_table_impl.h" +#include "testutil.h" +#include "util.h" static int count = 2; -/** stolen from tests.c */ -static void ge_equals_ge(const secp256k1_ge *a, const secp256k1_ge *b) { - CHECK(a->infinity == b->infinity); - if (a->infinity) { - return; - } - CHECK(secp256k1_fe_equal_var(&a->x, &b->x)); - CHECK(secp256k1_fe_equal_var(&a->y, &b->y)); -} - -static void ge_equals_gej(const secp256k1_ge *a, const secp256k1_gej *b) { - secp256k1_fe z2s; - secp256k1_fe u1, u2, s1, s2; - CHECK(a->infinity == b->infinity); - if (a->infinity) { - return; - } - /* Check a.x * b.z^2 == b.x && a.y * b.z^3 == b.y, to avoid inverses. */ - secp256k1_fe_sqr(&z2s, &b->z); - secp256k1_fe_mul(&u1, &a->x, &z2s); - u2 = b->x; secp256k1_fe_normalize_weak(&u2); - secp256k1_fe_mul(&s1, &a->y, &z2s); secp256k1_fe_mul(&s1, &s1, &b->z); - s2 = b->y; secp256k1_fe_normalize_weak(&s2); - CHECK(secp256k1_fe_equal_var(&u1, &u2)); - CHECK(secp256k1_fe_equal_var(&s1, &s2)); -} - -static void random_fe(secp256k1_fe *x) { - unsigned char bin[32]; - do { - secp256k1_testrand256(bin); - if (secp256k1_fe_set_b32(x, bin)) { - return; - } - } while(1); -} -/** END stolen from tests.c */ - static uint32_t num_cores = 1; static uint32_t this_core = 0; @@ -95,7 +67,7 @@ static void test_exhaustive_endomorphism(const secp256k1_ge *group) { for (i = 0; i < EXHAUSTIVE_TEST_ORDER; i++) { secp256k1_ge res; secp256k1_ge_mul_lambda(&res, &group[i]); - ge_equals_ge(&group[i * EXHAUSTIVE_TEST_LAMBDA % EXHAUSTIVE_TEST_ORDER], &res); + CHECK(secp256k1_ge_eq_var(&group[i * EXHAUSTIVE_TEST_LAMBDA % EXHAUSTIVE_TEST_ORDER], &res)); } } @@ -121,21 +93,21 @@ static void test_exhaustive_addition(const secp256k1_ge *group, const secp256k1_ secp256k1_gej tmp; /* add_var */ secp256k1_gej_add_var(&tmp, &groupj[i], &groupj[j], NULL); - ge_equals_gej(&group[(i + j) % EXHAUSTIVE_TEST_ORDER], &tmp); + CHECK(secp256k1_gej_eq_ge_var(&tmp, &group[(i + j) % EXHAUSTIVE_TEST_ORDER])); /* add_ge */ if (j > 0) { secp256k1_gej_add_ge(&tmp, &groupj[i], &group[j]); - ge_equals_gej(&group[(i + j) % EXHAUSTIVE_TEST_ORDER], &tmp); + CHECK(secp256k1_gej_eq_ge_var(&tmp, &group[(i + j) % EXHAUSTIVE_TEST_ORDER])); } /* add_ge_var */ secp256k1_gej_add_ge_var(&tmp, &groupj[i], &group[j], NULL); - ge_equals_gej(&group[(i + j) % EXHAUSTIVE_TEST_ORDER], &tmp); + CHECK(secp256k1_gej_eq_ge_var(&tmp, &group[(i + j) % EXHAUSTIVE_TEST_ORDER])); /* add_zinv_var */ zless_gej.infinity = groupj[j].infinity; zless_gej.x = groupj[j].x; zless_gej.y = groupj[j].y; secp256k1_gej_add_zinv_var(&tmp, &groupj[i], &zless_gej, &fe_inv); - ge_equals_gej(&group[(i + j) % EXHAUSTIVE_TEST_ORDER], &tmp); + CHECK(secp256k1_gej_eq_ge_var(&tmp, &group[(i + j) % EXHAUSTIVE_TEST_ORDER])); } } @@ -143,9 +115,9 @@ static void test_exhaustive_addition(const secp256k1_ge *group, const secp256k1_ for (i = 0; i < EXHAUSTIVE_TEST_ORDER; i++) { secp256k1_gej tmp; secp256k1_gej_double(&tmp, &groupj[i]); - ge_equals_gej(&group[(2 * i) % EXHAUSTIVE_TEST_ORDER], &tmp); + CHECK(secp256k1_gej_eq_ge_var(&tmp, &group[(2 * i) % EXHAUSTIVE_TEST_ORDER])); secp256k1_gej_double_var(&tmp, &groupj[i], NULL); - ge_equals_gej(&group[(2 * i) % EXHAUSTIVE_TEST_ORDER], &tmp); + CHECK(secp256k1_gej_eq_ge_var(&tmp, &group[(2 * i) % EXHAUSTIVE_TEST_ORDER])); } /* Check negation */ @@ -153,9 +125,9 @@ static void test_exhaustive_addition(const secp256k1_ge *group, const secp256k1_ secp256k1_ge tmp; secp256k1_gej tmpj; secp256k1_ge_neg(&tmp, &group[i]); - ge_equals_ge(&group[EXHAUSTIVE_TEST_ORDER - i], &tmp); + CHECK(secp256k1_ge_eq_var(&tmp, &group[EXHAUSTIVE_TEST_ORDER - i])); secp256k1_gej_neg(&tmpj, &groupj[i]); - ge_equals_gej(&group[EXHAUSTIVE_TEST_ORDER - i], &tmpj); + CHECK(secp256k1_gej_eq_ge_var(&tmpj, &group[EXHAUSTIVE_TEST_ORDER - i])); } } @@ -172,12 +144,38 @@ static void test_exhaustive_ecmult(const secp256k1_ge *group, const secp256k1_ge secp256k1_scalar_set_int(&ng, j); secp256k1_ecmult(&tmp, &groupj[r_log], &na, &ng); - ge_equals_gej(&group[(i * r_log + j) % EXHAUSTIVE_TEST_ORDER], &tmp); + CHECK(secp256k1_gej_eq_ge_var(&tmp, &group[(i * r_log + j) % EXHAUSTIVE_TEST_ORDER])); + } + } + } - if (i > 0) { - secp256k1_ecmult_const(&tmp, &group[i], &ng, 256); - ge_equals_gej(&group[(i * j) % EXHAUSTIVE_TEST_ORDER], &tmp); - } + for (j = 0; j < EXHAUSTIVE_TEST_ORDER; j++) { + for (i = 0; i < EXHAUSTIVE_TEST_ORDER; i++) { + int ret; + secp256k1_gej tmp; + secp256k1_fe xn, xd, tmpf; + secp256k1_scalar ng; + + if (skip_section(&iter)) continue; + + secp256k1_scalar_set_int(&ng, j); + + /* Test secp256k1_ecmult_const. */ + secp256k1_ecmult_const(&tmp, &group[i], &ng); + CHECK(secp256k1_gej_eq_ge_var(&tmp, &group[(i * j) % EXHAUSTIVE_TEST_ORDER])); + + if (i != 0 && j != 0) { + /* Test secp256k1_ecmult_const_xonly with all curve X coordinates, and xd=NULL. */ + ret = secp256k1_ecmult_const_xonly(&tmpf, &group[i].x, NULL, &ng, 0); + CHECK(ret); + CHECK(secp256k1_fe_equal(&tmpf, &group[(i * j) % EXHAUSTIVE_TEST_ORDER].x)); + + /* Test secp256k1_ecmult_const_xonly with all curve X coordinates, with random xd. */ + testutil_random_fe_non_zero(&xd); + secp256k1_fe_mul(&xn, &xd, &group[i].x); + ret = secp256k1_ecmult_const_xonly(&tmpf, &xn, &xd, &ng, 0); + CHECK(ret); + CHECK(secp256k1_fe_equal(&tmpf, &group[(i * j) % EXHAUSTIVE_TEST_ORDER].x)); } } } @@ -216,7 +214,7 @@ static void test_exhaustive_ecmult_multi(const secp256k1_context *ctx, const sec data.pt[1] = group[y]; secp256k1_ecmult_multi_var(&ctx->error_callback, scratch, &tmp, &g_sc, ecmult_multi_callback, &data, 2); - ge_equals_gej(&group[(i * x + j * y + k) % EXHAUSTIVE_TEST_ORDER], &tmp); + CHECK(secp256k1_gej_eq_ge_var(&tmp, &group[(i * x + j * y + k) % EXHAUSTIVE_TEST_ORDER])); } } } @@ -349,6 +347,10 @@ static void test_exhaustive_sign(const secp256k1_context *ctx, const secp256k1_g #include "modules/schnorrsig/tests_exhaustive_impl.h" #endif +#ifdef ENABLE_MODULE_ELLSWIFT +#include "modules/ellswift/tests_exhaustive_impl.h" +#endif + int main(int argc, char** argv) { int i; secp256k1_gej groupj[EXHAUSTIVE_TEST_ORDER]; @@ -373,7 +375,7 @@ int main(int argc, char** argv) { printf("test count = %i\n", count); /* find random seed */ - secp256k1_testrand_init(argc > 2 ? argv[2] : NULL); + testrand_init(argc > 2 ? argv[2] : NULL); /* set up split processing */ if (argc > 4) { @@ -381,19 +383,19 @@ int main(int argc, char** argv) { this_core = strtol(argv[4], NULL, 0); if (num_cores < 1 || this_core >= num_cores) { fprintf(stderr, "Usage: %s [count] [seed] [numcores] [thiscore]\n", argv[0]); - return 1; + return EXIT_FAILURE; } printf("running tests for core %lu (out of [0..%lu])\n", (unsigned long)this_core, (unsigned long)num_cores - 1); } /* Recreate the ecmult{,_gen} tables using the right generator (as selected via EXHAUSTIVE_TEST_ORDER) */ - secp256k1_ecmult_gen_compute_table(&secp256k1_ecmult_gen_prec_table[0][0], &secp256k1_ge_const_g, ECMULT_GEN_PREC_BITS); + secp256k1_ecmult_gen_compute_table(&secp256k1_ecmult_gen_prec_table[0][0], &secp256k1_ge_const_g, COMB_BLOCKS, COMB_TEETH, COMB_SPACING); secp256k1_ecmult_compute_two_tables(secp256k1_pre_g, secp256k1_pre_g_128, WINDOW_G, &secp256k1_ge_const_g); while (count--) { /* Build context */ ctx = secp256k1_context_create(SECP256K1_CONTEXT_NONE); - secp256k1_testrand256(rand32); + testrand256(rand32); CHECK(secp256k1_context_randomize(ctx, rand32)); /* Generate the entire group */ @@ -406,7 +408,7 @@ int main(int argc, char** argv) { /* Set a different random z-value for each Jacobian point, except z=1 is used in the last iteration. */ secp256k1_fe z; - random_fe(&z); + testutil_random_fe(&z); secp256k1_gej_rescale(&groupj[i], &z); } @@ -422,8 +424,8 @@ int main(int argc, char** argv) { CHECK(group[i].infinity == 0); CHECK(generated.infinity == 0); - CHECK(secp256k1_fe_equal_var(&generated.x, &group[i].x)); - CHECK(secp256k1_fe_equal_var(&generated.y, &group[i].y)); + CHECK(secp256k1_fe_equal(&generated.x, &group[i].x)); + CHECK(secp256k1_fe_equal(&generated.y, &group[i].y)); } } @@ -444,12 +446,21 @@ int main(int argc, char** argv) { #ifdef ENABLE_MODULE_SCHNORRSIG test_exhaustive_schnorrsig(ctx); #endif +#ifdef ENABLE_MODULE_ELLSWIFT + /* The ellswift algorithm does have additional edge cases when operating on + * curves of even order, which are not included in the code as secp256k1 is + * of odd order. Skip the ellswift tests if the used exhaustive tests curve + * is even-ordered accordingly. */ + #if !EXHAUSTIVE_TEST_CURVE_HAS_EVEN_ORDER + test_exhaustive_ellswift(ctx, group); + #endif +#endif secp256k1_context_destroy(ctx); } - secp256k1_testrand_finish(); + testrand_finish(); printf("no problems found\n"); - return 0; + return EXIT_SUCCESS; } diff --git a/src/testutil.h b/src/testutil.h new file mode 100644 index 0000000000..480f6a1a0c --- /dev/null +++ b/src/testutil.h @@ -0,0 +1,156 @@ +/*********************************************************************** + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ + +#ifndef SECP256K1_TESTUTIL_H +#define SECP256K1_TESTUTIL_H + +#include "field.h" +#include "group.h" +#include "testrand.h" +#include "util.h" + +/* group order of the secp256k1 curve in 32-byte big endian representation */ +static const unsigned char secp256k1_group_order_bytes[32] = { + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, + 0xba, 0xae, 0xdc, 0xe6, 0xaf, 0x48, 0xa0, 0x3b, + 0xbf, 0xd2, 0x5e, 0x8c, 0xd0, 0x36, 0x41, 0x41 +}; + +static void testutil_random_fe(secp256k1_fe *x) { + unsigned char bin[32]; + do { + testrand256(bin); + if (secp256k1_fe_set_b32_limit(x, bin)) { + return; + } + } while(1); +} + +static void testutil_random_fe_non_zero(secp256k1_fe *nz) { + do { + testutil_random_fe(nz); + } while (secp256k1_fe_is_zero(nz)); +} + +static void testutil_random_fe_magnitude(secp256k1_fe *fe, int m) { + secp256k1_fe zero; + int n = testrand_int(m + 1); + secp256k1_fe_normalize(fe); + if (n == 0) { + return; + } + secp256k1_fe_set_int(&zero, 0); + secp256k1_fe_negate(&zero, &zero, 0); + secp256k1_fe_mul_int_unchecked(&zero, n - 1); + secp256k1_fe_add(fe, &zero); +#ifdef VERIFY + CHECK(fe->magnitude == n); +#endif +} + +static void testutil_random_fe_test(secp256k1_fe *x) { + unsigned char bin[32]; + do { + testrand256_test(bin); + if (secp256k1_fe_set_b32_limit(x, bin)) { + return; + } + } while(1); +} + +static void testutil_random_fe_non_zero_test(secp256k1_fe *fe) { + do { + testutil_random_fe_test(fe); + } while(secp256k1_fe_is_zero(fe)); +} + +static void testutil_random_ge_x_magnitude(secp256k1_ge *ge) { + testutil_random_fe_magnitude(&ge->x, SECP256K1_GE_X_MAGNITUDE_MAX); +} + +static void testutil_random_ge_y_magnitude(secp256k1_ge *ge) { + testutil_random_fe_magnitude(&ge->y, SECP256K1_GE_Y_MAGNITUDE_MAX); +} + +static void testutil_random_gej_x_magnitude(secp256k1_gej *gej) { + testutil_random_fe_magnitude(&gej->x, SECP256K1_GEJ_X_MAGNITUDE_MAX); +} + +static void testutil_random_gej_y_magnitude(secp256k1_gej *gej) { + testutil_random_fe_magnitude(&gej->y, SECP256K1_GEJ_Y_MAGNITUDE_MAX); +} + +static void testutil_random_gej_z_magnitude(secp256k1_gej *gej) { + testutil_random_fe_magnitude(&gej->z, SECP256K1_GEJ_Z_MAGNITUDE_MAX); +} + +static void testutil_random_ge_test(secp256k1_ge *ge) { + secp256k1_fe fe; + do { + testutil_random_fe_test(&fe); + if (secp256k1_ge_set_xo_var(ge, &fe, testrand_bits(1))) { + secp256k1_fe_normalize(&ge->y); + break; + } + } while(1); + ge->infinity = 0; +} + +static void testutil_random_ge_jacobian_test(secp256k1_gej *gej, const secp256k1_ge *ge) { + secp256k1_fe z2, z3; + testutil_random_fe_non_zero_test(&gej->z); + secp256k1_fe_sqr(&z2, &gej->z); + secp256k1_fe_mul(&z3, &z2, &gej->z); + secp256k1_fe_mul(&gej->x, &ge->x, &z2); + secp256k1_fe_mul(&gej->y, &ge->y, &z3); + gej->infinity = ge->infinity; +} + +static void testutil_random_gej_test(secp256k1_gej *gej) { + secp256k1_ge ge; + testutil_random_ge_test(&ge); + testutil_random_ge_jacobian_test(gej, &ge); +} + +static void testutil_random_pubkey_test(secp256k1_pubkey *pk) { + secp256k1_ge ge; + testutil_random_ge_test(&ge); + secp256k1_pubkey_save(pk, &ge); +} + +static void testutil_random_scalar_order_test(secp256k1_scalar *num) { + do { + unsigned char b32[32]; + int overflow = 0; + testrand256_test(b32); + secp256k1_scalar_set_b32(num, b32, &overflow); + if (overflow || secp256k1_scalar_is_zero(num)) { + continue; + } + break; + } while(1); +} + +static void testutil_random_scalar_order(secp256k1_scalar *num) { + do { + unsigned char b32[32]; + int overflow = 0; + testrand256(b32); + secp256k1_scalar_set_b32(num, b32, &overflow); + if (overflow || secp256k1_scalar_is_zero(num)) { + continue; + } + break; + } while(1); +} + +static void testutil_random_scalar_order_b32(unsigned char *b32) { + secp256k1_scalar num; + testutil_random_scalar_order(&num); + secp256k1_scalar_get_b32(b32, &num); +} + +#endif /* SECP256K1_TESTUTIL_H */ diff --git a/src/unit_test.c b/src/unit_test.c new file mode 100644 index 0000000000..a1858a117a --- /dev/null +++ b/src/unit_test.c @@ -0,0 +1,479 @@ +/*********************************************************************** + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ + +#include +#include +#include + +#if defined(SUPPORTS_CONCURRENCY) +#include +#include +#include +#endif + +#include "unit_test.h" +#include "testrand.h" +#include "tests_common.h" + +#define UNUSED(x) (void)(x) + +/* Number of times certain tests will run */ +int COUNT = 16; + +static int parse_jobs_count(const char* key, const char* value, struct tf_framework* tf); +static int parse_iterations(const char* key, const char* value, struct tf_framework* tf); +static int parse_seed(const char* key, const char* value, struct tf_framework* tf); +static int parse_target(const char* key, const char* value, struct tf_framework* tf); +static int parse_logging(const char* key, const char* value, struct tf_framework* tf); + +/* Mapping table: key -> handler */ +typedef int (*ArgHandler)(const char* key, const char* value, struct tf_framework* tf); +struct ArgMap { + const char* key; + ArgHandler handler; +}; + +/* + * Main entry point for handling command-line arguments. + * + * Developers should extend this map whenever new command-line + * options are introduced. Each new argument should be validated, + * converted to the appropriate type, and stored in 'tf->args' struct. + */ +static struct ArgMap arg_map[] = { + { "t", parse_target }, { "target", parse_target }, + { "j", parse_jobs_count }, { "jobs", parse_jobs_count }, + { "i", parse_iterations }, { "iterations", parse_iterations }, + { "seed", parse_seed }, + { "log", parse_logging }, + { NULL, NULL } /* sentinel */ +}; + +/* Display options that are not printed elsewhere */ +static void print_args(const struct tf_args* args) { + printf("iterations = %d\n", COUNT); + printf("jobs = %d. %s execution.\n", args->num_processes, args->num_processes > 1 ? "Parallel" : "Sequential"); +} + +/* Main entry point for reading environment variables */ +static int read_env(struct tf_framework* tf) { + const char* env_iter = getenv("SECP256K1_TEST_ITERS"); + if (env_iter && strlen(env_iter) > 0) { + return parse_iterations("i", env_iter, tf); + } + return 0; +} + +static int parse_arg(const char* key, const char* value, struct tf_framework* tf) { + int i; + for (i = 0; arg_map[i].key != NULL; i++) { + if (strcmp(key, arg_map[i].key) == 0) { + return arg_map[i].handler(key, value, tf); + } + } + /* Unknown key: report just so typos don't silently pass. */ + fprintf(stderr, "Unknown argument '-%s=%s'\n", key, value); + return -1; +} + +static void help(void) { + printf("Usage: ./tests [options]\n\n"); + printf("Run the test suite for the project with optional configuration.\n\n"); + printf("Options:\n"); + printf(" --help, -h Show this help message\n"); + printf(" --list_tests, -l Display list of all available tests and modules\n"); + printf(" --jobs=, -j= Number of parallel worker processes (default: 0 = sequential)\n"); + printf(" --iterations=, -i= Number of iterations for each test (default: 16)\n"); + printf(" --seed= Set a specific RNG seed (default: random)\n"); + printf(" --target=, -t= Run a specific test (can be provided multiple times)\n"); + printf(" --target=, -t= Run all tests within a specific module (can be provided multiple times)\n"); + printf(" --log=<0|1> Enable or disable test execution logging (default: 0 = disabled)\n"); + printf("\n"); + printf("Notes:\n"); + printf(" - All arguments must be provided in the form '--key=value', '-key=value' or '-k=value'.\n"); + printf(" - Single or double dashes are allowed for multi character options.\n"); + printf(" - Unknown arguments are reported but ignored.\n"); + printf(" - Sequential execution occurs if -jobs=0 or unspecified.\n"); + printf(" - Iterations and seed can also be passed as positional arguments before any other argument for backward compatibility.\n"); +} + +/* Print all tests in registry */ +static void print_test_list(struct tf_framework* tf) { + int m, t, total = 0; + printf("\nAvailable tests (%d modules):\n", tf->num_modules); + printf("========================================\n"); + for (m = 0; m < tf->num_modules; m++) { + const struct tf_test_module* mod = &tf->registry_modules[m]; + printf("Module: %s (%d tests)\n", mod->name, mod->size); + for (t = 0; t < mod->size; t++) { + printf("\t[%3d] %s\n", total + 1, mod->data[t].name); + total++; + } + printf("----------------------------------------\n"); + } + printf("\nRun specific module: ./tests -t=\n"); + printf("Run specific test: ./tests -t=\n\n"); +} + +static int parse_jobs_count(const char* key, const char* value, struct tf_framework* tf) { + char* ptr_val; + long val = strtol(value, &ptr_val, 10); /* base 10 */ + if (*ptr_val != '\0') { + fprintf(stderr, "Invalid number for -%s=%s\n", key, value); + return -1; + } + if (val < 0 || val > MAX_SUBPROCESSES) { + fprintf(stderr, "Arg '-%s' out of range: '%ld'. Range: 0..%d\n", key, val, MAX_SUBPROCESSES); + return -1; + } + tf->args.num_processes = (int) val; + return 0; +} + +static int parse_iterations(const char* key, const char* value, struct tf_framework* tf) { + UNUSED(key); UNUSED(tf); + if (!value) return 0; + COUNT = (int) strtol(value, NULL, 0); + if (COUNT <= 0) { + fputs("An iteration count of 0 or less is not allowed.\n", stderr); + return -1; + } + return 0; +} + +static int parse_seed(const char* key, const char* value, struct tf_framework* tf) { + UNUSED(key); + tf->args.custom_seed = (!value || strcmp(value, "NULL") == 0) ? NULL : value; + return 0; +} + +static int parse_logging(const char* key, const char* value, struct tf_framework* tf) { + UNUSED(key); + tf->args.logging = value && strcmp(value, "1") == 0; + return 0; +} + +/* Strip up to two leading dashes */ +static const char* normalize_key(const char* arg, const char** err_msg) { + const char* key; + if (!arg || arg[0] != '-') { + *err_msg = "missing initial dash"; + return NULL; + } + /* single-dash short option */ + if (arg[1] != '-') return arg + 1; + + /* double-dash checks now */ + if (arg[2] == '\0') { + *err_msg = "missing option name after double dash"; + return NULL; + } + + if (arg[2] == '-') { + *err_msg = "too many leading dashes"; + return NULL; + } + + key = arg + 2; + if (key[1] == '\0') { + *err_msg = "short option cannot use double dash"; + return NULL; + } + return key; +} + +static int parse_target(const char* key, const char* value, struct tf_framework* tf) { + int group, idx; + const struct tf_test_entry* entry; + UNUSED(key); + /* Find test index in the registry */ + for (group = 0; group < tf->num_modules; group++) { + const struct tf_test_module* module = &tf->registry_modules[group]; + int add_all = strcmp(value, module->name) == 0; /* select all from module */ + for (idx = 0; idx < module->size; idx++) { + entry = &module->data[idx]; + if (add_all || strcmp(value, entry->name) == 0) { + if (tf->args.targets.size >= MAX_ARGS) { + fprintf(stderr, "Too many -target args (max: %d)\n", MAX_ARGS); + return -1; + } + tf->args.targets.slots[tf->args.targets.size++] = entry; + /* Matched a single test, we're done */ + if (!add_all) return 0; + } + } + /* If add_all was true, we added all tests in the module, so return */ + if (add_all) return 0; + } + fprintf(stderr, "Error: target '%s' not found (missing or module disabled).\n" + "Run program with -list_tests option to display available tests and modules.\n", value); + return -1; +} + +/* Read args: all must be in the form -key=value, --key=value or -key=value */ +static int read_args(int argc, char** argv, int start, struct tf_framework* tf) { + int i; + const char* key; + const char* value; + char* eq; + const char* err_msg = "unknown error"; + for (i = start; i < argc; i++) { + char* raw_arg = argv[i]; + if (!raw_arg || raw_arg[0] != '-') { + fprintf(stderr, "Invalid arg '%s': must start with '-'\n", raw_arg ? raw_arg : "(null)"); + return -1; + } + + key = normalize_key(raw_arg, &err_msg); + if (!key || *key == '\0') { + fprintf(stderr, "Invalid arg '%s': %s. Must be -k=value or --key=value\n", raw_arg, err_msg); + return -1; + } + + eq = strchr(raw_arg, '='); + if (!eq || eq == raw_arg + 1) { + /* Allowed options without value */ + if (strcmp(key, "h") == 0 || strcmp(key, "help") == 0) { + tf->args.help = 1; + return 0; + } + if (strcmp(key, "l") == 0 || strcmp(key, "list_tests") == 0) { + tf->args.list_tests = 1; + return 0; + } + fprintf(stderr, "Invalid arg '%s': must be -k=value or --key=value\n", raw_arg); + return -1; + } + + *eq = '\0'; /* split key and value */ + value = eq + 1; + if (!value || *value == '\0') { /* value is empty */ + fprintf(stderr, "Invalid arg '%s': value cannot be empty\n", raw_arg); + return -1; + } + + if (parse_arg(key, value, tf) != 0) return -1; + } + return 0; +} + +static void run_test_log(const struct tf_test_entry* t) { + int64_t start_time = gettime_i64(); + printf("Running %s..\n", t->name); + t->func(); + printf("Test %s PASSED (%.3f sec)\n", t->name, (double)(gettime_i64() - start_time) / 1000000); +} + +static void run_test(const struct tf_test_entry* t) { t->func(); } + +/* Process tests in sequential order */ +static int run_sequential(struct tf_framework* tf) { + int it; + for (it = 0; it < tf->args.targets.size; it++) { + tf->fn_run_test(tf->args.targets.slots[it]); + } + return EXIT_SUCCESS; +} + +#if defined(SUPPORTS_CONCURRENCY) +static const int MAX_TARGETS = 255; + +/* Process tests in parallel */ +static int run_concurrent(struct tf_framework* tf) { + /* Sub-processes info */ + pid_t workers[MAX_SUBPROCESSES]; + int pipefd[2]; + int status = EXIT_SUCCESS; + int it; /* loop iterator */ + unsigned char idx; /* test index */ + + if (tf->args.targets.size > MAX_TARGETS) { + fprintf(stderr, "Internal Error: the number of targets (%d) exceeds the maximum supported (%d). " + "If you need more, extend 'run_concurrent()' to handle additional targets.\n", + tf->args.targets.size, MAX_TARGETS); + exit(EXIT_FAILURE); + } + + + if (pipe(pipefd) != 0) { + perror("Error during pipe setup"); + return EXIT_FAILURE; + } + + /* Launch worker processes */ + for (it = 0; it < tf->args.num_processes; it++) { + pid_t pid = fork(); + if (pid < 0) { + perror("Error during process fork"); + return EXIT_FAILURE; + } + if (pid == 0) { + /* Child worker: read jobs from the shared pipe */ + close(pipefd[1]); /* children never write */ + while (read(pipefd[0], &idx, sizeof(idx)) == sizeof(idx)) { + tf->fn_run_test(tf->args.targets.slots[(int)idx]); + } + _exit(EXIT_SUCCESS); /* finish child process */ + } else { + /* Parent: save worker pid */ + workers[it] = pid; + } + } + + /* Parent: write all tasks into the pipe */ + close(pipefd[0]); /* close read end */ + for (it = 0; it < tf->args.targets.size; it++) { + idx = (unsigned char)it; + if (write(pipefd[1], &idx, sizeof(idx)) == -1) { + perror("Error during workload distribution"); + close(pipefd[1]); + return EXIT_FAILURE; + } + } + /* Close write end to signal EOF */ + close(pipefd[1]); + /* Wait for all workers */ + for (it = 0; it < tf->args.num_processes; it++) { + int ret = 0; + if (waitpid(workers[it], &ret, 0) == -1 || ret != 0) { + status = EXIT_FAILURE; + } + } + + return status; +} +#endif + +static int tf_init(struct tf_framework* tf, int argc, char** argv) +{ + /* Caller must set the registry and its size before calling tf_init */ + if (tf->registry_modules == NULL || tf->num_modules <= 0) { + fprintf(stderr, "Error: tests registry not provided or empty\n"); + return EXIT_FAILURE; + } + + /* Initialize command-line options */ + tf->args.num_processes = 0; + tf->args.custom_seed = NULL; + tf->args.help = 0; + tf->args.targets.size = 0; + tf->args.list_tests = 0; + tf->args.logging = 0; + + /* Disable buffering for stdout to improve reliability of getting + * diagnostic information. Happens right at the start of main because + * setbuf must be used before any other operation on the stream. */ + setbuf(stdout, NULL); + /* Also disable buffering for stderr because it's not guaranteed that it's + * unbuffered on all systems. */ + setbuf(stderr, NULL); + + /* Parse env args */ + if (read_env(tf) != 0) return EXIT_FAILURE; + + /* Parse command-line args */ + if (argc > 1) { + int named_arg_start = 1; /* index to begin processing named arguments */ + if (argc - 1 > MAX_ARGS) { /* first arg is always the binary path */ + fprintf(stderr, "Too many command-line arguments (max: %d)\n", MAX_ARGS); + return EXIT_FAILURE; + } + + /* Compatibility Note: The first two args were the number of iterations and the seed. */ + /* If provided, parse them and adjust the starting index for named arguments accordingly. */ + if (argv[1][0] != '-') { + int has_seed = argc > 2 && argv[2][0] != '-'; + if (parse_iterations("i", argv[1], tf) != 0) return EXIT_FAILURE; + if (has_seed) parse_seed("seed", argv[2], tf); + named_arg_start = has_seed ? 3 : 2; + } + if (read_args(argc, argv, named_arg_start, tf) != 0) { + return EXIT_FAILURE; + } + + if (tf->args.help) { + help(); + exit(EXIT_SUCCESS); + } + + if (tf->args.list_tests) { + print_test_list(tf); + exit(EXIT_SUCCESS); + } + } + + tf->fn_run_test = tf->args.logging ? run_test_log : run_test; + return EXIT_SUCCESS; +} + +static int tf_run(struct tf_framework* tf) { + /* Process exit status */ + int status; + /* Whether to run all tests */ + int run_all; + /* Loop iterator */ + int it; + /* Initial test time */ + int64_t start_time = gettime_i64(); + /* Verify 'tf_init' has been called */ + if (!tf->fn_run_test) { + fprintf(stderr, "Error: No test runner set. You must call 'tf_init' first to initialize the framework " + "or manually assign 'fn_run_test' before calling 'tf_run'.\n"); + return EXIT_FAILURE; + } + + /* Populate targets with all tests if none were explicitly specified */ + run_all = tf->args.targets.size == 0; + if (run_all) { + int group, idx; + for (group = 0; group < tf->num_modules; group++) { + const struct tf_test_module* module = &tf->registry_modules[group]; + for (idx = 0; idx < module->size; idx++) { + if (tf->args.targets.size >= MAX_ARGS) { + fprintf(stderr, "Internal Error: Number of tests (%d) exceeds MAX_ARGS (%d). " + "Increase MAX_ARGS to accommodate all tests.\n", tf->args.targets.size, MAX_ARGS); + return EXIT_FAILURE; + } + tf->args.targets.slots[tf->args.targets.size++] = &module->data[idx]; + } + } + } + + if (!tf->args.logging) printf("Tests running silently. Use '-log=1' to enable detailed logging\n"); + + /* Log configuration */ + print_args(&tf->args); + + /* Run test RNG tests (must run before we really initialize the test RNG) */ + /* Note: currently, these tests are executed sequentially because there */ + /* is really only one test. */ + for (it = 0; tf->registry_no_rng && it < tf->registry_no_rng->size; it++) { + if (run_all) { /* future: support filtering */ + tf->fn_run_test(&tf->registry_no_rng->data[it]); + } + } + + /* Initialize test RNG and library contexts */ + testrand_init(tf->args.custom_seed); + if (tf->fn_setup && tf->fn_setup() != 0) return EXIT_FAILURE; + + /* Check whether to process tests sequentially or concurrently */ + if (tf->args.num_processes <= 1) { + status = run_sequential(tf); + } else { +#if defined(SUPPORTS_CONCURRENCY) + status = run_concurrent(tf); +#else + fputs("Parallel execution not supported on your system. Running sequentially...\n", stderr); + status = run_sequential(tf); +#endif + } + + /* Print accumulated time */ + printf("Total execution time: %.3f seconds\n", (double)(gettime_i64() - start_time) / 1000000); + if (tf->fn_teardown && tf->fn_teardown() != 0) return EXIT_FAILURE; + + return status; +} diff --git a/src/unit_test.h b/src/unit_test.h new file mode 100644 index 0000000000..bf301e5392 --- /dev/null +++ b/src/unit_test.h @@ -0,0 +1,145 @@ +/*********************************************************************** + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ + +#ifndef SECP256K1_UNIT_TEST_H +#define SECP256K1_UNIT_TEST_H + +/* --------------------------------------------------------- */ +/* Configurable constants */ +/* --------------------------------------------------------- */ + +/* Maximum number of command-line arguments. + * Must be at least as large as the total number of tests + * to allow specifying all tests individually. */ +#define MAX_ARGS 150 +/* Maximum number of parallel jobs */ +#define MAX_SUBPROCESSES 16 + +/* --------------------------------------------------------- */ +/* Test Framework Registry Macros */ +/* --------------------------------------------------------- */ + +#define CASE(name) { #name, run_##name } +#define CASE1(name) { #name, name } + +#define MAKE_TEST_MODULE(name) { \ + #name, \ + tests_##name, \ + sizeof(tests_##name) / sizeof(tests_##name[0]) \ +} + +/* Macro to wrap a test internal function with a COUNT loop (iterations number) */ +#define REPEAT_TEST(fn) REPEAT_TEST_MULT(fn, 1) +#define REPEAT_TEST_MULT(fn, multiplier) \ + static void fn(void) { \ + int i; \ + int repeat = COUNT * (multiplier); \ + for (i = 0; i < repeat; i++) \ + fn##_internal(); \ + } + + + +/* --------------------------------------------------------- */ +/* Test Framework API */ +/* --------------------------------------------------------- */ + +typedef void (*test_fn)(void); + +struct tf_test_entry { + const char* name; + test_fn func; +}; + +struct tf_test_module { + const char* name; + const struct tf_test_entry* data; + int size; +}; + +typedef int (*setup_ctx_fn)(void); +typedef int (*teardown_fn)(void); +typedef void (*run_test_fn)(const struct tf_test_entry*); + +struct tf_targets { + /* Target tests indexes */ + const struct tf_test_entry* slots[MAX_ARGS]; + /* Next available slot */ + int size; +}; + +/* --- Command-line args --- */ +struct tf_args { + /* 0 => sequential; 1..MAX_SUBPROCESSES => parallel workers */ + int num_processes; + /* Specific RNG seed */ + const char* custom_seed; + /* Whether to print the help msg */ + int help; + /* Whether to print the tests list msg */ + int list_tests; + /* Target tests indexes */ + struct tf_targets targets; + /* Enable test execution logging */ + int logging; +}; + +/* --------------------------------------------------------- */ +/* Public API */ +/* --------------------------------------------------------- */ + +struct tf_framework { + /* Command-line args */ + struct tf_args args; + /* Test modules registry */ + const struct tf_test_module* registry_modules; + /* Num of modules */ + int num_modules; + /* Registry for tests that require no RNG init */ + const struct tf_test_module* registry_no_rng; + /* Specific context setup and teardown functions */ + setup_ctx_fn fn_setup; + teardown_fn fn_teardown; + /* Test runner function (can be customized) */ + run_test_fn fn_run_test; +}; + +/* + * Initialize the test framework. + * + * Must be called before tf_run() and before any output is performed to + * stdout or stderr, because this function disables buffering on both + * streams to ensure reliable diagnostic output. + * + * Parses command-line arguments and configures the framework context. + * The caller must initialize the following members of 'tf' before calling: + * - tf->registry_modules + * - tf->num_modules + * + * Side effects: + * - stdout and stderr are set to unbuffered mode via setbuf(). + * This allows immediate flushing of diagnostic messages but may + * affect performance for other output operations. + * + * Returns: + * EXIT_SUCCESS (0) on success, + * EXIT_FAILURE (non-zero) on error. + */ +static int tf_init(struct tf_framework* tf, int argc, char** argv); + +/* + * Run tests based on the provided test framework context. + * + * This function uses the configuration stored in the tf_framework + * (targets, number of processes, iteration count, etc.) to determine + * which tests to execute and how to execute them. + * + * Returns: + * EXIT_SUCCESS (0) if all tests passed, + * EXIT_FAILURE (non-zero) otherwise. + */ +static int tf_run(struct tf_framework* tf); + +#endif /* SECP256K1_UNIT_TEST_H */ diff --git a/src/util.h b/src/util.h index e75c5ad552..94e0837dab 100644 --- a/src/util.h +++ b/src/util.h @@ -7,16 +7,83 @@ #ifndef SECP256K1_UTIL_H #define SECP256K1_UTIL_H +#include "../include/secp256k1.h" +#include "checkmem.h" + +#include #include #include #include #include +#if defined(_MSC_VER) +/* For SecureZeroMemory */ +#include +#endif #define STR_(x) #x #define STR(x) STR_(x) #define DEBUG_CONFIG_MSG(x) "DEBUG_CONFIG: " x #define DEBUG_CONFIG_DEF(x) DEBUG_CONFIG_MSG(#x "=" STR(x)) +/* Debug helper for printing arrays of unsigned char. */ +#define PRINT_BUF(buf, len) do { \ + printf("%s[%lu] = ", #buf, (unsigned long)len); \ + print_buf_plain(buf, len); \ +} while(0) + +static void print_buf_plain(const unsigned char *buf, size_t len) { + size_t i; + printf("{"); + for (i = 0; i < len; i++) { + if (i % 8 == 0) { + printf("\n "); + } else { + printf(" "); + } + printf("0x%02X,", buf[i]); + } + printf("\n}\n"); +} + +# if (!defined(__STDC_VERSION__) || (__STDC_VERSION__ < 199901L) ) +# if SECP256K1_GNUC_PREREQ(2,7) +# define SECP256K1_INLINE __inline__ +# elif (defined(_MSC_VER)) +# define SECP256K1_INLINE __inline +# else +# define SECP256K1_INLINE +# endif +# else +# define SECP256K1_INLINE inline +# endif + +/** Assert statically that expr is true. + * + * This is a statement-like macro and can only be used inside functions. + */ +#define STATIC_ASSERT(expr) do { \ + switch(0) { \ + case 0: \ + /* If expr evaluates to 0, we have two case labels "0", which is illegal. */ \ + case /* ERROR: static assertion failed */ (expr): \ + ; \ + } \ +} while(0) + +/** Assert statically that expr is an integer constant expression, and run stmt. + * + * Useful for example to enforce that magnitude arguments are constant. + */ +#define ASSERT_INT_CONST_AND_DO(expr, stmt) do { \ + switch(42) { \ + /* C allows only integer constant expressions as case labels. */ \ + case /* ERROR: integer argument is not constant */ (expr): \ + break; \ + default: ; \ + } \ + stmt; \ +} while(0) + typedef struct { void (*fn)(const char *text, void* data); const void* data; @@ -85,16 +152,11 @@ static const secp256k1_callback default_error_callback = { } while(0) #endif -/* Like assert(), but when VERIFY is defined, and side-effect safe. */ -#if defined(COVERAGE) -#define VERIFY_CHECK(check) -#define VERIFY_SETUP(stmt) -#elif defined(VERIFY) +/* Like assert(), but when VERIFY is defined. */ +#if defined(VERIFY) #define VERIFY_CHECK CHECK -#define VERIFY_SETUP(stmt) do { stmt; } while(0) #else -#define VERIFY_CHECK(cond) do { (void)(cond); } while(0) -#define VERIFY_SETUP(stmt) +#define VERIFY_CHECK(cond) #endif static SECP256K1_INLINE void *checked_malloc(const secp256k1_callback* cb, size_t size) { @@ -105,14 +167,6 @@ static SECP256K1_INLINE void *checked_malloc(const secp256k1_callback* cb, size_ return ret; } -static SECP256K1_INLINE void *checked_realloc(const secp256k1_callback* cb, void *ptr, size_t size) { - void *ret = realloc(ptr, size); - if (ret == NULL) { - secp256k1_callback_call(cb, "Out of memory"); - } - return ret; -} - #if defined(__BIGGEST_ALIGNMENT__) #define ALIGNMENT __BIGGEST_ALIGNMENT__ #else @@ -122,7 +176,10 @@ static SECP256K1_INLINE void *checked_realloc(const secp256k1_callback* cb, void #define ALIGNMENT 16 #endif -#define ROUND_TO_ALIGN(size) ((((size) + ALIGNMENT - 1) / ALIGNMENT) * ALIGNMENT) +/* ceil(x/y) for integers x > 0 and y > 0. Here, / denotes rational division. */ +#define CEIL_DIV(x, y) (1 + ((x) - 1) / (y)) + +#define ROUND_TO_ALIGN(size) (CEIL_DIV(size, ALIGNMENT) * ALIGNMENT) /* Macro for restrict, when available and not in a VERIFY build. */ #if defined(SECP256K1_BUILD) && defined(VERIFY) @@ -141,14 +198,6 @@ static SECP256K1_INLINE void *checked_realloc(const secp256k1_callback* cb, void # endif #endif -#if defined(_WIN32) -# define I64FORMAT "I64d" -# define I64uFORMAT "I64u" -#else -# define I64FORMAT "lld" -# define I64uFORMAT "llu" -#endif - #if defined(__GNUC__) # define SECP256K1_GNUC_EXT __extension__ #else @@ -170,6 +219,47 @@ static SECP256K1_INLINE void secp256k1_memczero(void *s, size_t len, int flag) { } } +/* Zeroes memory to prevent leaking sensitive info. Won't be optimized out. */ +static SECP256K1_INLINE void secp256k1_memzero_explicit(void *ptr, size_t len) { +#if defined(_MSC_VER) + /* SecureZeroMemory is guaranteed not to be optimized out by MSVC. */ + SecureZeroMemory(ptr, len); +#elif defined(__GNUC__) + /* We use a memory barrier that scares the compiler away from optimizing out the memset. + * + * Quoting Adam Langley in commit ad1907fe73334d6c696c8539646c21b11178f20f + * in BoringSSL (ISC License): + * As best as we can tell, this is sufficient to break any optimisations that + * might try to eliminate "superfluous" memsets. + * This method is used in memzero_explicit() the Linux kernel, too. Its advantage is that it + * is pretty efficient, because the compiler can still implement the memset() efficiently, + * just not remove it entirely. See "Dead Store Elimination (Still) Considered Harmful" by + * Yang et al. (USENIX Security 2017) for more background. + */ + memset(ptr, 0, len); + __asm__ __volatile__("" : : "r"(ptr) : "memory"); +#else + void *(*volatile const volatile_memset)(void *, int, size_t) = memset; + volatile_memset(ptr, 0, len); +#endif +} + +/* Cleanses memory to prevent leaking sensitive info. Won't be optimized out. + * The state of the memory after this call is unspecified so callers must not + * make any assumptions about its contents. + * + * In VERIFY builds, it has the side effect of marking the memory as undefined. + * This helps to detect use-after-clear bugs where code incorrectly reads from + * cleansed memory during testing. + */ +static SECP256K1_INLINE void secp256k1_memclear_explicit(void *ptr, size_t len) { + /* The current implementation zeroes, but callers must not rely on this */ + secp256k1_memzero_explicit(ptr, len); +#ifdef VERIFY + SECP256K1_CHECKMEM_UNDEFINE(ptr, len); +#endif +} + /** Semantics like memcmp. Variable-time. * * We use this to avoid possible compiler bugs with memcmp, e.g. @@ -188,6 +278,22 @@ static SECP256K1_INLINE int secp256k1_memcmp_var(const void *s1, const void *s2, return 0; } +/* Return 1 if all elements of array s are 0 and otherwise return 0. + * Constant-time. */ +static SECP256K1_INLINE int secp256k1_is_zero_array(const unsigned char *s, size_t len) { + unsigned char acc = 0; + int ret; + size_t i; + + for (i = 0; i < len; i++) { + acc |= s[i]; + } + ret = (acc == 0); + /* acc may contain secret values. Try to explicitly clear it. */ + secp256k1_memclear_explicit(&acc, sizeof(acc)); + return ret; +} + /** If flag is true, set *r equal to *a; otherwise leave it. Constant-time. Both *r and *a must be initialized and non-negative.*/ static SECP256K1_INLINE void secp256k1_int_cmov(int *r, const int *a, int flag) { unsigned int mask0, mask1, r_masked, a_masked; @@ -319,4 +425,40 @@ SECP256K1_INLINE static void secp256k1_write_be32(unsigned char* p, uint32_t x) p[0] = x >> 24; } +/* Read a uint64_t in big endian */ +SECP256K1_INLINE static uint64_t secp256k1_read_be64(const unsigned char* p) { + return (uint64_t)p[0] << 56 | + (uint64_t)p[1] << 48 | + (uint64_t)p[2] << 40 | + (uint64_t)p[3] << 32 | + (uint64_t)p[4] << 24 | + (uint64_t)p[5] << 16 | + (uint64_t)p[6] << 8 | + (uint64_t)p[7]; +} + +/* Write a uint64_t in big endian */ +SECP256K1_INLINE static void secp256k1_write_be64(unsigned char* p, uint64_t x) { + p[7] = x; + p[6] = x >> 8; + p[5] = x >> 16; + p[4] = x >> 24; + p[3] = x >> 32; + p[2] = x >> 40; + p[1] = x >> 48; + p[0] = x >> 56; +} + +/* Rotate a uint32_t to the right. */ +SECP256K1_INLINE static uint32_t secp256k1_rotr32(const uint32_t x, const unsigned int by) { +#if defined(_MSC_VER) + return _rotr(x, by); /* needs */ +#else + /* Reduce rotation amount to avoid UB when shifting. */ + const unsigned int mask = CHAR_BIT * sizeof(x) - 1; + /* Turned into a rot instruction by GCC and clang. */ + return (x >> (by & mask)) | (x << ((-by) & mask)); +#endif +} + #endif /* SECP256K1_UTIL_H */ diff --git a/src/util_local_visibility.h b/src/util_local_visibility.h new file mode 100644 index 0000000000..8912a64d1d --- /dev/null +++ b/src/util_local_visibility.h @@ -0,0 +1,12 @@ +#ifndef SECP256K1_LOCAL_VISIBILITY_H +#define SECP256K1_LOCAL_VISIBILITY_H + +/* Global variable visibility */ +/* See: https://github.com/bitcoin-core/secp256k1/issues/1181 */ +#if !defined(_WIN32) && defined(__GNUC__) && (__GNUC__ >= 4) +# define SECP256K1_LOCAL_VAR extern __attribute__ ((visibility ("hidden"))) +#else +# define SECP256K1_LOCAL_VAR extern +#endif + +#endif /* SECP256K1_LOCAL_VISIBILITY_H */ diff --git a/src/wycheproof/WYCHEPROOF_COPYING b/src/wycheproof/WYCHEPROOF_COPYING new file mode 100644 index 0000000000..c9a4ef81f5 --- /dev/null +++ b/src/wycheproof/WYCHEPROOF_COPYING @@ -0,0 +1,221 @@ +* The file `ecdsa_secp256k1_sha256_bitcoin_test.json` in this directory + comes from project Wycheproof with git commit + `7ae4532f417575ced2b1cbbabed81a7fecfaef5d`, see + https://github.com/C2SP/wycheproof/blob/7ae4532f417575ced2b1cbbabed81a7fecfaef5d/testvectors_v1/ecdsa_secp256k1_sha256_bitcoin_test.json + +* The file `ecdh_secp256k1_test.json` in this directory + comes from project Wycheproof with git commit + `df4e933efef449fc88af0c06e028d425d84a9495`, see + https://github.com/C2SP/wycheproof/blob/df4e933efef449fc88af0c06e028d425d84a9495/testvectors_v1/ecdh_secp256k1_test.json + +* The file `ecdsa_secp256k1_sha256_bitcoin_test.h` is generated from + `ecdsa_secp256k1_sha256_bitcoin_test.json` using the script + `tests_wycheproof_generate_ecdsa.py`. + +* The file `ecdh_secp256k1_test.h` is generated from + `ecdh_secp256k1_test.json` using the script + `tests_wycheproof_generate_ecdh.py`. + +------------------------------------------------------------------------------- + + Apache License + Version 2.0, January 2004 + http://www.apache.org/licenses/ + + TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION + + 1. 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We also recommend that a + file or class name and description of purpose be included on the + same "printed page" as the copyright notice for easier + identification within third-party archives. + + Copyright [yyyy] [name of copyright owner] + + Licensed under the Apache License, Version 2.0 (the "License"); + you may not use this file except in compliance with the License. + You may obtain a copy of the License at + + http://www.apache.org/licenses/LICENSE-2.0 + + Unless required by applicable law or agreed to in writing, software + distributed under the License is distributed on an "AS IS" BASIS, + WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + See the License for the specific language governing permissions and + limitations under the License. diff --git a/src/wycheproof/ecdh_secp256k1_test.h b/src/wycheproof/ecdh_secp256k1_test.h new file mode 100644 index 0000000000..02a087e53c --- /dev/null +++ b/src/wycheproof/ecdh_secp256k1_test.h @@ -0,0 +1,2008 @@ +/* Note: this file was autogenerated using tests_wycheproof_ecdh.py. Do not edit. */ +#define SECP256K1_ECDH_WYCHEPROOF_NUMBER_TESTVECTORS (503) + +typedef struct { + size_t pk_offset; + size_t pk_len; + size_t sk_offset; + size_t sk_len; + size_t shared_offset; + size_t shared_len; + int expected_result; + int wycheproof_tcid; +} wycheproof_ecdh_testvector; + +static const unsigned char wycheproof_ecdh_private_keys[] = { 0xf4,0xb7,0xff,0x7c,0xcc,0xc9,0x88,0x13,0xa6,0x9f,0xae,0x3d,0xf2,0x22,0xbf,0xe3,0xf4,0xe2,0x8f,0x76,0x4b,0xf9,0x1b,0x4a,0x10,0xd8,0x09,0x6c,0xe4,0x46,0xb2,0x54, + 0xa2,0xb6,0x44,0x2a,0x37,0xf8,0xa3,0x76,0x4a,0xef,0xf4,0x01,0x1a,0x4c,0x42,0x2b,0x38,0x9a,0x1e,0x50,0x96,0x69,0xc4,0x3f,0x27,0x9c,0x8b,0x7e,0x32,0xd8,0x0c,0x3a, + 0x2b,0xc1,0x5c,0xf3,0x98,0x1e,0xab,0x61,0xe5,0x94,0xeb,0xf5,0x91,0x29,0x0a,0x04,0x5c,0xa9,0x32,0x6a,0x8d,0x3d,0xd4,0x9f,0x3d,0xe1,0x19,0x0d,0x39,0x27,0x0b,0xb8, + 0x93,0x8f,0x3d,0xbe,0x37,0x13,0x5c,0xd8,0xc8,0xc4,0x8a,0x67,0x6b,0x28,0xb2,0x33,0x4b,0x72,0xa3,0xf0,0x98,0x14,0xc8,0xef,0xb6,0xa4,0x51,0xbe,0x00,0xc9,0x3d,0x23, + 0xc1,0x78,0x1d,0x86,0xca,0xc2,0xc0,0x52,0xb8,0x65,0xf2,0x28,0xe6,0x4b,0xd1,0xce,0x43,0x3c,0x78,0xca,0x7d,0xfc,0xa9,0xe8,0xb8,0x10,0x47,0x3e,0x2c,0xe1,0x7d,0xa5, + 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x03, + 0x00,0x00,0x00,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff, + 0x01,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, + 0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff, + 0x80,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, + 0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xba,0xae,0xdc,0xe6,0xaf,0x48,0xa0,0x3a,0xbf,0xd2,0x5e,0x8c,0xd0,0x36,0x41,0x41, + 0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xba,0xae,0xdc,0xe6,0xaf,0x48,0xa0,0x3b,0xbf,0xc2,0x5e,0x8c,0xd0,0x36,0x41,0x41, + 0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xba,0xae,0xdc,0xe6,0xaf,0x48,0xa0,0x3b,0xbf,0xca,0x5e,0x8c,0xd0,0x36,0x41,0x41, + 0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xba,0xae,0xdc,0xe6,0xaf,0x48,0xa0,0x3b,0xbf,0xd2,0x5e,0x8b,0xd0,0x36,0x41,0x41, + 0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xba,0xae,0xdc,0xe6,0xaf,0x48,0xa0,0x3b,0xbf,0xd2,0x5e,0x8c,0xd0,0x36,0x40,0xc3, + 0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xba,0xae,0xdc,0xe6,0xaf,0x48,0xa0,0x3b,0xbf,0xd2,0x5e,0x8c,0xd0,0x36,0x41,0x03, + 0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xba,0xae,0xdc,0xe6,0xaf,0x48,0xa0,0x3b,0xbf,0xd2,0x5e,0x8c,0xd0,0x36,0x41,0x23, + 0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xba,0xae,0xdc,0xe6,0xaf,0x48,0xa0,0x3b,0xbf,0xd2,0x5e,0x8c,0xd0,0x36,0x41,0x33, + 0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xba,0xae,0xdc,0xe6,0xaf,0x48,0xa0,0x3b,0xbf,0xd2,0x5e,0x8c,0xd0,0x36,0x41,0x3b, + 0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xba,0xae,0xdc,0xe6,0xaf,0x48,0xa0,0x3b,0xbf,0xd2,0x5e,0x8c,0xd0,0x36,0x41,0x3e, + 0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xba,0xae,0xdc,0xe6,0xaf,0x48,0xa0,0x3b,0xbf,0xd2,0x5e,0x8c,0xd0,0x36,0x41,0x3f, + 0xc6,0xca,0xfb,0x74,0xe2,0xa5,0x0c,0x83,0xb3,0xd2,0x32,0xc4,0x58,0x52,0x37,0xf4,0x4d,0x4c,0x54,0x33,0xc4,0xb3,0xf5,0x0c,0xe9,0x78,0xe6,0xae,0xda,0x3a,0x4f,0x5d, + 0xcf,0xe7,0x5e,0xe7,0x64,0x19,0x7a,0xa7,0x73,0x2a,0x54,0x78,0x55,0x6b,0x47,0x88,0x98,0x42,0x3d,0x2b,0xc0,0xe4,0x84,0xa6,0xeb,0xb3,0x67,0x4a,0x60,0x36,0xa6,0x5d, + 0xd0,0x91,0x82,0xa4,0xd0,0xc9,0x4b,0xa8,0x5f,0x82,0xef,0xf9,0xfc,0x1b,0xdd,0xb0,0xb0,0x7d,0x3f,0x2a,0xf8,0x63,0x2f,0xc1,0xc7,0x3a,0x36,0x04,0xe8,0xf0,0xb3,0x35}; + +static const unsigned char wycheproof_ecdh_public_keys[] = { 0x04,0xd8,0x09,0x6a,0xf8,0xa1,0x1e,0x0b,0x80,0x03,0x7e,0x1e,0xe6,0x82,0x46,0xb5,0xdc,0xbb,0x0a,0xeb,0x1c,0xf1,0x24,0x4f,0xd7,0x67,0xdb,0x80,0xf3,0xfa,0x27,0xda,0x2b,0x39,0x68,0x12,0xea,0x16,0x86,0xe7,0x47,0x2e,0x96,0x92,0xea,0xf3,0xe9,0x58,0xe5,0x0e,0x95,0x00,0xd3,0xb4,0xc7,0x72,0x43,0xdb,0x1f,0x2a,0xcd,0x67,0xba,0x9c,0xc4, + 0x02,0xd8,0x09,0x6a,0xf8,0xa1,0x1e,0x0b,0x80,0x03,0x7e,0x1e,0xe6,0x82,0x46,0xb5,0xdc,0xbb,0x0a,0xeb,0x1c,0xf1,0x24,0x4f,0xd7,0x67,0xdb,0x80,0xf3,0xfa,0x27,0xda,0x2b, + 0x04,0x96,0x5f,0xf4,0x2d,0x65,0x4e,0x05,0x8e,0xe7,0x31,0x7c,0xce,0xd7,0xca,0xf0,0x93,0xfb,0xb1,0x80,0xd8,0xd3,0xa7,0x4b,0x0d,0xcd,0x9d,0x8c,0xd4,0x7a,0x39,0xd5,0xcb,0x9c,0x2a,0xa4,0xda,0xac,0x01,0xa4,0xbe,0x37,0xc2,0x04,0x67,0xed,0xe9,0x64,0x66,0x2f,0x12,0x98,0x3e,0x0b,0x52,0x72,0xa4,0x7a,0x5f,0x27,0x85,0x68,0x5d,0x80,0x87, + 0x04,0x06,0xc4,0xb8,0x7b,0xa7,0x6c,0x6d,0xcb,0x10,0x1f,0x54,0xa0,0x50,0xa0,0x86,0xaa,0x2c,0xb0,0x72,0x2f,0x03,0x13,0x7d,0xf5,0xa9,0x22,0x47,0x2f,0x1b,0xdc,0x11,0xb9,0x82,0xe3,0xc7,0x35,0xc4,0xb6,0xc4,0x81,0xd0,0x92,0x69,0x55,0x9f,0x08,0x0a,0xd0,0x86,0x32,0xf3,0x70,0xa0,0x54,0xaf,0x12,0xc1,0xfd,0x1e,0xce,0xd2,0xea,0x92,0x11, + 0x04,0xbb,0xa3,0x0e,0xef,0x79,0x67,0xa2,0xf2,0xf0,0x8a,0x2f,0xfa,0xda,0xc0,0xe4,0x1f,0xd4,0xdb,0x12,0xa9,0x3c,0xef,0x0b,0x04,0x5b,0x57,0x06,0xf2,0x85,0x38,0x21,0xe6,0xd5,0x0b,0x2b,0xf8,0xcb,0xf5,0x30,0xe6,0x19,0x86,0x9e,0x07,0xc0,0x21,0xef,0x16,0xf6,0x93,0xcf,0xc0,0xa4,0xb0,0xd4,0xed,0x5a,0x8f,0x46,0x46,0x92,0xbf,0x3d,0x6e, + 0x04,0x6d,0xa9,0xeb,0x2c,0xda,0xc0,0x21,0x22,0xd5,0xf0,0x5c,0xf6,0xa8,0xcd,0x76,0x8e,0x37,0x8f,0x66,0x4e,0xa4,0xa7,0x87,0x1d,0x10,0xe2,0x5f,0x57,0xeb,0x1e,0xe1,0xcc,0x5b,0x2b,0x5a,0xbf,0x9c,0x6c,0x65,0x96,0xf8,0xf3,0x83,0xdd,0xbc,0xb3,0xbc,0xc2,0xd5,0xa7,0xcc,0x60,0x59,0x84,0x93,0x12,0x39,0xca,0x96,0x69,0x94,0x60,0x32,0xee, + 0x04,0xf2,0x97,0x61,0x54,0xc4,0xf5,0x3c,0xe3,0x92,0xd1,0xfe,0x39,0xa8,0x91,0xa4,0x61,0x1b,0xa8,0xcf,0x04,0x60,0x23,0xcd,0x8f,0x1b,0xcd,0x9f,0xdd,0x2e,0x92,0x11,0x91,0xb2,0x5c,0xf3,0x1c,0xae,0xdf,0xbb,0x41,0x53,0x81,0x63,0x7b,0xc3,0xf5,0x99,0xa3,0x4f,0xba,0x3e,0x14,0x13,0xf6,0x44,0xcb,0x16,0x68,0x46,0x9f,0x45,0x58,0xa7,0x72, + 0x04,0x5e,0x42,0x2f,0xea,0x67,0xcc,0xa5,0xeb,0xae,0xac,0x87,0x74,0x5c,0x81,0xb1,0x0e,0xf8,0x07,0x03,0x03,0x67,0xe6,0xfc,0xe0,0x12,0x25,0x41,0x76,0xec,0x8c,0xf1,0x99,0x88,0x15,0x92,0xf4,0x2c,0x26,0x43,0x71,0xe1,0x9e,0x30,0x37,0x38,0x8a,0xb6,0x4f,0x32,0xfa,0x88,0x70,0xe6,0x29,0x05,0xe7,0xaf,0x20,0x5e,0x43,0xb0,0x2a,0xad,0x12, + 0x04,0xbb,0x57,0xb9,0xa1,0x23,0x1b,0xe0,0x42,0xd1,0x85,0xc0,0x3e,0xda,0x69,0x26,0xa6,0xde,0xf1,0x77,0xfe,0x67,0x45,0xed,0xa0,0x00,0xc5,0x20,0xd6,0x65,0x81,0xf0,0xcd,0xf1,0xd7,0x3c,0x80,0x45,0x3f,0x2f,0xe3,0x07,0x25,0xad,0xf9,0x51,0x39,0x0c,0x73,0x9e,0x36,0xfc,0x86,0x77,0x69,0x1d,0xb1,0x07,0x88,0x13,0x42,0x61,0x3d,0x00,0xab, + 0x04,0x55,0x63,0xc7,0x6c,0x19,0x37,0x76,0x38,0xf7,0xd5,0x17,0xbd,0xbe,0x0a,0xce,0x46,0x7e,0xb5,0xd4,0xdd,0x9f,0xb4,0xbf,0x18,0x33,0x2b,0xab,0x8f,0x07,0xb1,0xd8,0x0c,0x26,0x13,0x32,0xd4,0x6e,0x31,0x67,0x11,0x27,0x8b,0xac,0xcc,0xd8,0x80,0x05,0xee,0x4c,0x11,0x5f,0xa8,0x40,0x89,0xfd,0x19,0x06,0x74,0x62,0x6e,0x5e,0xd1,0xeb,0xfe, + 0x04,0x89,0x83,0xaa,0xe8,0xc0,0x02,0xf2,0xb5,0x55,0xac,0xb2,0x37,0x0a,0xdb,0x9b,0x50,0xba,0x4c,0xac,0x1b,0xfc,0xc9,0x03,0x9a,0x12,0x5c,0x70,0xca,0x7c,0x5f,0xc0,0xd1,0xf6,0xef,0xeb,0x8a,0xe4,0xba,0x8c,0x69,0x42,0x9d,0x93,0x24,0x43,0x82,0x44,0x7a,0xc5,0x34,0x89,0x1c,0x66,0x09,0x00,0x25,0x28,0x26,0x55,0x71,0x9b,0xd7,0x25,0x12, + 0x04,0x23,0x55,0x65,0x64,0x85,0x0c,0x50,0xfb,0xa5,0x1f,0x1e,0x64,0xef,0x98,0x37,0x8e,0xf5,0xc2,0x2f,0xea,0xfa,0x29,0x49,0x9c,0xa2,0x76,0x00,0xc4,0x73,0xca,0xce,0x88,0x9d,0x56,0x79,0xe9,0x17,0xda,0xa7,0xf4,0xc7,0x89,0x95,0x17,0xd3,0x78,0x26,0x28,0x4f,0x03,0x1d,0xe0,0x1a,0x60,0xbc,0x81,0x36,0x96,0x41,0x4d,0x04,0x53,0x1a,0x21, + 0x04,0xdd,0xbf,0x80,0x7e,0x22,0xc5,0x6a,0x19,0xcf,0x6c,0x47,0x28,0x29,0x15,0x03,0x50,0x78,0x10,0x34,0xa5,0xed,0xde,0xc3,0x65,0x69,0x4d,0x4b,0xd5,0xc8,0x65,0xea,0xd1,0x4e,0x67,0x41,0x27,0x02,0x8c,0x91,0xd3,0x39,0x4c,0xac,0x37,0x29,0x3a,0x86,0x60,0x55,0xd1,0x0f,0x0f,0x40,0xa3,0x70,0x6a,0xd1,0x6b,0x64,0xfc,0x9d,0x59,0x98,0xbd, + 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0x04,0x49,0xc2,0x48,0xed,0xc6,0x59,0xe1,0x84,0x82,0xb7,0x10,0x57,0x48,0xa4,0xb9,0x5d,0x3a,0x46,0x95,0x2a,0x5b,0xa7,0x2d,0xa0,0xd7,0x02,0xdc,0x97,0xa6,0x4e,0x99,0x79,0x9d,0x8c,0xff,0x7a,0x5c,0x4b,0x92,0x5e,0x43,0x60,0xec,0xe2,0x5c,0xcf,0x30,0x7d,0x7a,0x9a,0x70,0x63,0x28,0x6b,0xbd,0x16,0xef,0x64,0xc6,0x5f,0x54,0x67,0x57,0xe4, + 0x04,0x49,0xc2,0x48,0xed,0xc6,0x59,0xe1,0x84,0x82,0xb7,0x10,0x57,0x48,0xa4,0xb9,0x5d,0x3a,0x46,0x95,0x2a,0x5b,0xa7,0x2d,0xa0,0xd7,0x02,0xdc,0x97,0xa6,0x4e,0x99,0x79,0x9d,0x8c,0xff,0x7a,0x5c,0x4b,0x92,0x5e,0x43,0x60,0xec,0xe2,0x5c,0xcf,0x30,0x7d,0x7a,0x9a,0x70,0x63,0x28,0x6b,0xbd,0x16,0xef,0x64,0xc6,0x5f,0x54,0x67,0x57,0xe2, + 0x04,0x07,0x4f,0x56,0xdc,0x2e,0xa6,0x48,0xef,0x89,0xc3,0xb7,0x2e,0x23,0xbb,0xd2,0xda,0x36,0xf6,0x02,0x43,0xe4,0xd2,0x06,0x7b,0x70,0x60,0x4a,0xf1,0xc2,0x16,0x5c,0xec,0x2f,0x86,0x60,0x3d,0x60,0xc8,0xa6,0x11,0xd5,0xb8,0x4b,0xa3,0xd9,0x1d,0xfe,0x1a,0x48,0x08,0x25,0xbc,0xc4,0xaf,0x3b,0xcf, + 0x04,0xcb,0xf6,0x60,0x65,0x95,0xa3,0xee,0x50,0xf9,0xfc,0xea,0xa2,0x79,0x8c,0x27,0x40,0xc8,0x25,0x40,0x51,0x6b,0x4e,0x5a,0x7d,0x36,0x1f,0xf2,0x4e,0x9d,0xd1,0x53,0x64,0xe5,0x40,0x8b,0x2e,0x67,0x9f,0x9d,0x53,0x10,0xd1,0xf6,0x89,0x3b,0x36,0xce,0x16,0xb4,0xa5,0x07,0x50,0x91,0x75,0xfc,0xb5,0x2a,0xea,0x53,0xb7,0x81,0x55,0x6b,0x39, + 0x04,0xfb,0x60,0x75,0xd2,0x6c,0x35,0x01,0xc0,0x14,0xe4,0x8c,0x79,0xb3,0x46,0x3c,0xd7,0x68,0x37,0x8c,0x39,0x0d,0x7e,0x6e,0xeb,0x37,0x97,0x17,0xd4,0x90,0xc4,0xe6,0x34,0x78,0x04,0x35,0x77,0x19,0x79,0x87,0x88,0x16,0x70,0xbc,0x13,0xfd,0x0b,0x5f,0x0b,0xa1,0x0f,0x06,0xbc,0xef,0x27,0x11,0xc2,0x8f,0x5e,0xfd,0x7e,0x31,0xd5,0x15,0x7c, + 0x02,0x97,0x7c,0xb7,0xfb,0x9a,0x0e,0xc5,0xb2,0x08,0xe8,0x11,0xd6,0xa0,0x79,0x5e,0xb7,0x8d,0x76,0x42,0xe3,0xca,0xc4,0x2a,0x80,0x1b,0xcc,0x8f,0xc0,0xf0,0x64,0x72,0xd4}; + +static const unsigned char wycheproof_ecdh_shared_secrets[] = { 0x54,0x4d,0xfa,0xe2,0x2a,0xf6,0xaf,0x93,0x90,0x42,0xb1,0xd8,0x5b,0x71,0xa1,0xe4,0x9e,0x9a,0x56,0x14,0x12,0x3c,0x4d,0x6a,0xd0,0xc8,0xaf,0x65,0xba,0xf8,0x7d,0x65, + 0x54,0x4d,0xfa,0xe2,0x2a,0xf6,0xaf,0x93,0x90,0x42,0xb1,0xd8,0x5b,0x71,0xa1,0xe4,0x9e,0x9a,0x56,0x14,0x12,0x3c,0x4d,0x6a,0xd0,0xc8,0xaf,0x65,0xba,0xf8,0x7d,0x65, + 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x01, + 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x02, + 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x03, + 0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x2c, + 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x01,0x00,0x00, + 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x01,0x00,0x00,0x00,0x07, + 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x01,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x01, + 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x01,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x01, + 0x0b,0x7b,0xeb,0xa3,0x4f,0xeb,0x64,0x7d,0xa2,0x00,0xbe,0xd0,0x5f,0xad,0x57,0xc0,0x34,0x8d,0x24,0x9e,0x2a,0x90,0xc8,0x8f,0x31,0xf9,0x94,0x8b,0xb6,0x5d,0x52,0x07, + 0x21,0x0c,0x79,0x05,0x73,0x63,0x23,0x59,0xb1,0xed,0xb4,0x30,0x2c,0x11,0x7d,0x8a,0x13,0x26,0x54,0x69,0x2c,0x3f,0xee,0xb7,0xde,0x3a,0x86,0xac,0x3f,0x3b,0x53,0xf7, + 0x42,0x18,0xf2,0x0a,0xe6,0xc6,0x46,0xb3,0x63,0xdb,0x68,0x60,0x58,0x22,0xfb,0x14,0x26,0x4c,0xa8,0xd2,0x58,0x7f,0xdd,0x6f,0xbc,0x75,0x0d,0x58,0x7e,0x76,0xa7,0xee, + 0x39,0xf8,0x83,0xf1,0x05,0xac,0x7f,0x09,0xf4,0xe7,0xe4,0xdc,0xc8,0x4b,0xc7,0xff,0x4b,0x3b,0x74,0xf3,0x01,0xef,0xaa,0xaf,0x8b,0x63,0x8f,0x47,0x72,0x0f,0xda,0xec, + 0x55,0x55,0x55,0x55,0x55,0x55,0x55,0x55,0x55,0x55,0x55,0x55,0x55,0x55,0x55,0x55,0x55,0x55,0x55,0x55,0x55,0x55,0x55,0x55,0x55,0x55,0x55,0x55,0x55,0x55,0x55,0x50, + 0xaa,0xaa,0xaa,0xaa,0xaa,0xaa,0xaa,0xaa,0xaa,0xaa,0xaa,0xaa,0xaa,0xaa,0xaa,0xaa,0xaa,0xaa,0xaa,0xaa,0xaa,0xaa,0xaa,0xaa,0xaa,0xaa,0xaa,0xaa,0xaa,0xaa,0xaa,0xaa, + 0x33,0x33,0x33,0x33,0x33,0x33,0x33,0x33,0x33,0x33,0x33,0x33,0x33,0x33,0x33,0x33,0x33,0x33,0x33,0x33,0x33,0x33,0x33,0x33,0x33,0x33,0x33,0x33,0x33,0x33,0x33,0x33, + 0xcc,0xcc,0xcc,0xcc,0xcc,0xcc,0xcc,0xcc,0xcc,0xcc,0xcc,0xcc,0xcc,0xcc,0xcc,0xcc,0xcc,0xcc,0xcc,0xcc,0xcc,0xcc,0xcc,0xcc,0xcc,0xcc,0xcc,0xcc,0xcc,0xcc,0xcc,0xcb, + 0x0f,0x0f,0x0f,0x0f,0x0f,0x0f,0x0f,0x0f,0x0f,0x0f,0x0f,0x0f,0x0f,0x0f,0x0f,0x0f,0x0f,0x0f,0x0f,0x0f,0x0f,0x0f,0x0f,0x0f,0x0f,0x0f,0x0f,0x0f,0x0f,0x0f,0x0f,0x0c, + 0xf0,0xf0,0xf0,0xf0,0xf0,0xf0,0xf0,0xf0,0xf0,0xf0,0xf0,0xf0,0xf0,0xf0,0xf0,0xf0,0xf0,0xf0,0xf0,0xf0,0xf0,0xf0,0xf0,0xf0,0xf0,0xf0,0xf0,0xf0,0xf0,0xf0,0xf0,0xf0, + 0x00,0xff,0x00,0xff,0x00,0xff,0x00,0xff,0x00,0xff,0x00,0xff,0x00,0xff,0x00,0xff,0x00,0xff,0x00,0xff,0x00,0xff,0x00,0xff,0x00,0xff,0x00,0xff,0x00,0xff,0x00,0xff, + 0xff,0x00,0xff,0x00,0xff,0x00,0xff,0x00,0xff,0x00,0xff,0x00,0xff,0x00,0xff,0x00,0xff,0x00,0xff,0x00,0xff,0x00,0xff,0x00,0xff,0x00,0xff,0x00,0xff,0x00,0xff,0x00, + 0x7f,0xff,0x00,0x01,0xff,0xfc,0x00,0x07,0xff,0xf0,0x00,0x1f,0xff,0xc0,0x00,0x7f,0xff,0x00,0x01,0xff,0xfc,0x00,0x07,0xff,0xf0,0x00,0x1f,0xff,0xc0,0x00,0x7f,0xff, + 0x80,0x00,0xff,0xfe,0x00,0x03,0xff,0xf8,0x00,0x0f,0xff,0xe0,0x00,0x3f,0xff,0x80,0x00,0xff,0xfe,0x00,0x03,0xff,0xf8,0x00,0x0f,0xff,0xe0,0x00,0x3f,0xff,0x7f,0xff, + 0x00,0x00,0xff,0xff,0x00,0x00,0xff,0xff,0x00,0x00,0xff,0xff,0x00,0x00,0xff,0xff,0x00,0x00,0xff,0xff,0x00,0x00,0xff,0xff,0x00,0x00,0xff,0xff,0x00,0x00,0xff,0xfd, + 0xff,0xff,0x00,0x00,0xff,0xff,0x00,0x00,0xff,0xff,0x00,0x00,0xff,0xff,0x00,0x00,0xff,0xff,0x00,0x00,0xff,0xff,0x00,0x00,0xff,0xff,0x00,0x00,0xff,0xfe,0xff,0xfe, + 0x80,0x00,0x00,0x3f,0xff,0xff,0xf0,0x00,0x00,0x07,0xff,0xff,0xfe,0x00,0x00,0x00,0xff,0xff,0xff,0xc0,0x00,0x00,0x1f,0xff,0xff,0xf8,0x00,0x00,0x03,0xff,0xff,0xfd, + 0x7f,0xff,0xff,0xe0,0x00,0x00,0x0f,0xff,0xff,0xfc,0x00,0x00,0x01,0xff,0xff,0xff,0x80,0x00,0x00,0x3f,0xff,0xff,0xf0,0x00,0x00,0x07,0xff,0xff,0xfd,0xff,0xff,0xfe, + 0x00,0x00,0x03,0xff,0xff,0xff,0x00,0x00,0x00,0x3f,0xff,0xff,0xf0,0x00,0x00,0x03,0xff,0xff,0xff,0x00,0x00,0x00,0x3f,0xff,0xff,0xf0,0x00,0x00,0x03,0xff,0xff,0xfc, + 0xff,0xff,0xfc,0x00,0x00,0x00,0xff,0xff,0xff,0xc0,0x00,0x00,0x0f,0xff,0xff,0xfc,0x00,0x00,0x00,0xff,0xff,0xff,0xc0,0x00,0x00,0x0f,0xff,0xff,0xfb,0xff,0xff,0xfe, + 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0x38,0x0c,0x53,0xe0,0xa5,0x09,0xeb,0xb3,0xb6,0x33,0x46,0x59,0x81,0x05,0x21,0x9b,0x43,0xd5,0x1a,0xe1,0x96,0xb4,0x55,0x7d,0x59,0xbb,0xd6,0x78,0x24,0x03,0x2d,0xff, + 0x38,0x0c,0x53,0xe0,0xa5,0x09,0xeb,0xb3,0xb6,0x33,0x46,0x59,0x81,0x05,0x21,0x9b,0x43,0xd5,0x1a,0xe1,0x96,0xb4,0x55,0x7d,0x59,0xbb,0xd6,0x78,0x24,0x03,0x2d,0xff, + 0x38,0x0c,0x53,0xe0,0xa5,0x09,0xeb,0xb3,0xb6,0x33,0x46,0x59,0x81,0x05,0x21,0x9b,0x43,0xd5,0x1a,0xe1,0x96,0xb4,0x55,0x7d,0x59,0xbb,0xd6,0x78,0x24,0x03,0x2d,0xff, + 0x38,0x0c,0x53,0xe0,0xa5,0x09,0xeb,0xb3,0xb6,0x33,0x46,0x59,0x81,0x05,0x21,0x9b,0x43,0xd5,0x1a,0xe1,0x96,0xb4,0x55,0x7d,0x59,0xbb,0xd6,0x78,0x24,0x03,0x2d,0xff, + 0x38,0x0c,0x53,0xe0,0xa5,0x09,0xeb,0xb3,0xb6,0x33,0x46,0x59,0x81,0x05,0x21,0x9b,0x43,0xd5,0x1a,0xe1,0x96,0xb4,0x55,0x7d,0x59,0xbb,0xd6,0x78,0x24,0x03,0x2d,0xff, + 0x38,0x0c,0x53,0xe0,0xa5,0x09,0xeb,0xb3,0xb6,0x33,0x46,0x59,0x81,0x05,0x21,0x9b,0x43,0xd5,0x1a,0xe1,0x96,0xb4,0x55,0x7d,0x59,0xbb,0xd6,0x78,0x24,0x03,0x2d,0xff}; + +static const wycheproof_ecdh_testvector testvectors[SECP256K1_ECDH_WYCHEPROOF_NUMBER_TESTVECTORS] = { + /* tcId: 1. normal case */ + {0, 65, 0, 32, 0, 32, 1, 1 }, + /* tcId: 2. compressed public key */ + {65, 33, 0, 32, 32, 32, 1, 2 }, + /* tcId: 3. shared secret has x-coordinate that satisfies x**2 + a = 1 */ + {98, 65, 32, 32, 64, 32, 1, 3 }, + /* tcId: 4. shared secret has x-coordinate that satisfies x**2 + a = 4 */ + {163, 65, 32, 32, 96, 32, 1, 4 }, + /* tcId: 5. shared secret has x-coordinate that satisfies x**2 + a = 9 */ + {228, 65, 32, 32, 128, 32, 1, 5 }, + /* tcId: 6. shared secret has x-coordinate p-3 */ + {293, 65, 32, 32, 160, 32, 1, 6 }, + /* tcId: 7. shared secret has x-coordinate 2**16 + 0 */ + {358, 65, 32, 32, 192, 32, 1, 7 }, + /* tcId: 8. shared secret has x-coordinate 2**32 + 7 */ + {423, 65, 32, 32, 224, 32, 1, 8 }, + /* tcId: 9. shared secret has x-coordinate 2**64 + 1 */ + {488, 65, 32, 32, 256, 32, 1, 9 }, + /* tcId: 10. shared secret has x-coordinate 2**96 + 1 */ + {553, 65, 32, 32, 288, 32, 1, 10 }, + /* tcId: 11. shared secret has x-coordinate that satisfies x**2 + a = -6 */ + {618, 65, 32, 32, 320, 32, 1, 11 }, + /* tcId: 12. shared secret has x-coordinate that satisfies x**2 + a = 2 */ + {683, 65, 32, 32, 352, 32, 1, 12 }, + /* tcId: 13. shared secret has x-coordinate that satisfies x**2 + a = 8 */ + {748, 65, 32, 32, 384, 32, 1, 13 }, + /* tcId: 14. shared secret has x-coordinate that satisfies x**2 = 2**96 + 2 */ + {813, 65, 32, 32, 416, 32, 1, 14 }, + /* tcId: 15. shared secret has x-coordinate with repeating bit-pattern of size 2 */ + {878, 65, 32, 32, 448, 32, 1, 15 }, + /* tcId: 16. shared secret has x-coordinate with repeating bit-pattern of size 2 */ + {943, 65, 32, 32, 480, 32, 1, 16 }, + /* tcId: 17. shared secret has x-coordinate with repeating bit-pattern of size 4 */ + {1008, 65, 32, 32, 512, 32, 1, 17 }, + /* tcId: 18. shared secret has x-coordinate with repeating bit-pattern of size 4 */ + {1073, 65, 32, 32, 544, 32, 1, 18 }, + /* tcId: 19. shared secret has x-coordinate with repeating bit-pattern of size 8 */ + {1138, 65, 32, 32, 576, 32, 1, 19 }, + /* tcId: 20. shared secret has x-coordinate with repeating bit-pattern of size 8 */ + {1203, 65, 32, 32, 608, 32, 1, 20 }, + /* tcId: 21. shared secret has x-coordinate with repeating bit-pattern of size 16 */ + {1268, 65, 32, 32, 640, 32, 1, 21 }, + /* tcId: 22. shared secret has x-coordinate with repeating bit-pattern of size 16 */ + {1333, 65, 32, 32, 672, 32, 1, 22 }, + /* tcId: 23. shared secret has x-coordinate with repeating bit-pattern of size 30 */ + {1398, 65, 32, 32, 704, 32, 1, 23 }, + /* tcId: 24. shared secret has x-coordinate with repeating bit-pattern of size 30 */ + {1463, 65, 32, 32, 736, 32, 1, 24 }, + /* tcId: 25. shared secret has x-coordinate with repeating bit-pattern of size 32 */ + {1528, 65, 32, 32, 768, 32, 1, 25 }, + /* tcId: 26. shared secret has x-coordinate with repeating bit-pattern of size 32 */ + {1593, 65, 32, 32, 800, 32, 1, 26 }, + /* tcId: 27. shared secret has x-coordinate with repeating bit-pattern of size 51 */ + {1658, 65, 32, 32, 832, 32, 1, 27 }, + /* tcId: 28. shared secret has x-coordinate with repeating bit-pattern of size 51 */ + {1723, 65, 32, 32, 864, 32, 1, 28 }, + /* tcId: 29. shared secret has x-coordinate with repeating bit-pattern of size 52 */ + {1788, 65, 32, 32, 896, 32, 1, 29 }, + /* tcId: 30. shared secret has x-coordinate with repeating bit-pattern of size 52 */ + {1853, 65, 32, 32, 928, 32, 1, 30 }, + /* tcId: 31. shared secret has x-coordinate with repeating bit-pattern of size 60 */ + {1918, 65, 32, 32, 960, 32, 1, 31 }, + /* tcId: 32. shared secret has x-coordinate with repeating bit-pattern of size 60 */ + {1983, 65, 32, 32, 992, 32, 1, 32 }, + /* tcId: 33. shared secret has x-coordinate with repeating bit-pattern of size 62 */ + {2048, 65, 32, 32, 1024, 32, 1, 33 }, + /* tcId: 34. shared secret has x-coordinate with repeating bit-pattern of size 62 */ + {2113, 65, 32, 32, 1056, 32, 1, 34 }, + /* tcId: 35. shared secret has x-coordinate with repeating bit-pattern of size 64 */ + {2178, 65, 32, 32, 1088, 32, 1, 35 }, + /* tcId: 36. shared secret has x-coordinate with repeating bit-pattern of size 64 */ + {2243, 65, 32, 32, 1120, 32, 1, 36 }, + /* tcId: 37. shared secret has x-coordinate with repeating bit-pattern of size 112 */ + {2308, 65, 32, 32, 1152, 32, 1, 37 }, + /* tcId: 38. shared secret has x-coordinate with repeating bit-pattern of size 112 */ + {2373, 65, 32, 32, 1184, 32, 1, 38 }, + /* tcId: 39. shared secret has x-coordinate with repeating bit-pattern of size 128 */ + {2438, 65, 32, 32, 1216, 32, 1, 39 }, + /* tcId: 40. shared secret has x-coordinate with repeating bit-pattern of size 128 */ + {2503, 65, 32, 32, 1248, 32, 1, 40 }, + /* tcId: 41. shared secret has an x-coordinate of approx p//3 */ + {2568, 65, 32, 32, 1280, 32, 1, 41 }, + /* tcId: 42. shared secret has an x-coordinate of approx p//5 */ + {2633, 65, 32, 32, 1312, 32, 1, 42 }, + /* tcId: 43. shared secret has an x-coordinate of approx p//7 */ + {2698, 65, 32, 32, 1344, 32, 1, 43 }, + /* tcId: 44. shared secret has an x-coordinate of approx p//9 */ + {2763, 65, 32, 32, 1376, 32, 1, 44 }, + /* tcId: 45. y-coordinate of the public key has many trailing 1's */ + {2828, 65, 32, 32, 1408, 32, 1, 45 }, + /* tcId: 46. y-coordinate of the public key has many trailing 1's */ + {2893, 65, 64, 32, 1440, 32, 1, 46 }, + /* tcId: 47. y-coordinate of the public key is small */ + {2958, 65, 32, 32, 1472, 32, 1, 47 }, + /* tcId: 48. y-coordinate of the public key is small */ + {3023, 65, 32, 32, 1504, 32, 1, 48 }, + /* tcId: 49. y-coordinate of the public key is small */ + {3088, 65, 64, 32, 1536, 32, 1, 49 }, + /* tcId: 50. y-coordinate of the public key is small */ + {3153, 65, 64, 32, 1568, 32, 1, 50 }, + /* tcId: 51. y-coordinate of the public key is large */ + {3218, 65, 32, 32, 1600, 32, 1, 51 }, + /* tcId: 52. y-coordinate of the public key is large */ + {3283, 65, 32, 32, 1632, 32, 1, 52 }, + /* tcId: 53. y-coordinate of the public key is large */ + {3348, 65, 64, 32, 1664, 32, 1, 53 }, + /* tcId: 54. y-coordinate of the public key is large */ + {3413, 65, 64, 32, 1696, 32, 1, 54 }, + /* tcId: 55. y-coordinate of the public key has many trailing 0's */ + {3478, 65, 32, 32, 1728, 32, 1, 55 }, + /* tcId: 56. y-coordinate of the public key has many trailing 0's */ + {3543, 65, 64, 32, 1760, 32, 1, 56 }, + /* tcId: 57. ephemeral key has x-coordinate that satisfies x**2 + a = 1 */ + {3608, 65, 64, 32, 1792, 32, 1, 57 }, + /* tcId: 58. ephemeral key has x-coordinate that satisfies x**2 + a = 4 */ + {3673, 65, 64, 32, 1824, 32, 1, 58 }, + /* tcId: 59. ephemeral key has x-coordinate that satisfies x**2 + a = 9 */ + {3738, 65, 64, 32, 1856, 32, 1, 59 }, + /* tcId: 60. ephemeral key has x-coordinate p-3 */ + {3803, 65, 64, 32, 1888, 32, 1, 60 }, + /* tcId: 61. ephemeral key has x-coordinate 2**16 + 0 */ + {3868, 65, 64, 32, 1920, 32, 1, 61 }, + /* tcId: 62. ephemeral key has x-coordinate 2**32 + 7 */ + {3933, 65, 64, 32, 1952, 32, 1, 62 }, + /* tcId: 63. ephemeral key has x-coordinate 2**64 + 1 */ + {3998, 65, 64, 32, 1984, 32, 1, 63 }, + /* tcId: 64. ephemeral key has x-coordinate 2**96 + 1 */ + {4063, 65, 64, 32, 2016, 32, 1, 64 }, + /* tcId: 65. ephemeral key has x-coordinate that satisfies x**2 + a = -6 */ + {4128, 65, 64, 32, 2048, 32, 1, 65 }, + /* tcId: 66. ephemeral key has x-coordinate that satisfies x**2 + a = 2 */ + {4193, 65, 64, 32, 2080, 32, 1, 66 }, + /* tcId: 67. ephemeral key has x-coordinate that satisfies x**2 + a = 8 */ + {4258, 65, 64, 32, 2112, 32, 1, 67 }, + /* tcId: 68. ephemeral key has x-coordinate that satisfies x**2 = 2**96 + 2 */ + {4323, 65, 64, 32, 2144, 32, 1, 68 }, + /* tcId: 69. ephemeral key has x-coordinate with repeating bit-pattern of size 2 */ + {4388, 65, 64, 32, 2176, 32, 1, 69 }, + /* tcId: 70. ephemeral key has x-coordinate with repeating bit-pattern of size 2 */ + {4453, 65, 64, 32, 2208, 32, 1, 70 }, + /* tcId: 71. ephemeral key has x-coordinate with repeating bit-pattern of size 4 */ + {4518, 65, 64, 32, 2240, 32, 1, 71 }, + /* tcId: 72. ephemeral key has x-coordinate with repeating bit-pattern of size 4 */ + {4583, 65, 64, 32, 2272, 32, 1, 72 }, + /* tcId: 73. ephemeral key has x-coordinate with repeating bit-pattern of size 8 */ + {4648, 65, 64, 32, 2304, 32, 1, 73 }, + /* tcId: 74. ephemeral key has x-coordinate with repeating bit-pattern of size 8 */ + {4713, 65, 64, 32, 2336, 32, 1, 74 }, + /* tcId: 75. ephemeral key has x-coordinate with repeating bit-pattern of size 16 */ + {4778, 65, 64, 32, 2368, 32, 1, 75 }, + /* tcId: 76. ephemeral key has x-coordinate with repeating bit-pattern of size 16 */ + {4843, 65, 64, 32, 2400, 32, 1, 76 }, + /* tcId: 77. ephemeral key has x-coordinate with repeating bit-pattern of size 30 */ + {4908, 65, 64, 32, 2432, 32, 1, 77 }, + /* tcId: 78. ephemeral key has x-coordinate with repeating bit-pattern of size 30 */ + {4973, 65, 64, 32, 2464, 32, 1, 78 }, + /* tcId: 79. ephemeral key has x-coordinate with repeating bit-pattern of size 32 */ + {5038, 65, 64, 32, 2496, 32, 1, 79 }, + /* tcId: 80. ephemeral key has x-coordinate with repeating bit-pattern of size 32 */ + {5103, 65, 64, 32, 2528, 32, 1, 80 }, + /* tcId: 81. ephemeral key has x-coordinate with repeating bit-pattern of size 51 */ + {5168, 65, 64, 32, 2560, 32, 1, 81 }, + /* tcId: 82. ephemeral key has x-coordinate with repeating bit-pattern of size 51 */ + {5233, 65, 64, 32, 2592, 32, 1, 82 }, + /* tcId: 83. ephemeral key has x-coordinate with repeating bit-pattern of size 52 */ + {5298, 65, 64, 32, 2624, 32, 1, 83 }, + /* tcId: 84. ephemeral key has x-coordinate with repeating bit-pattern of size 52 */ + {5363, 65, 64, 32, 2656, 32, 1, 84 }, + /* tcId: 85. ephemeral key has x-coordinate with repeating bit-pattern of size 60 */ + {5428, 65, 64, 32, 2688, 32, 1, 85 }, + /* tcId: 86. ephemeral key has x-coordinate with repeating bit-pattern of size 60 */ + {5493, 65, 64, 32, 2720, 32, 1, 86 }, + /* tcId: 87. ephemeral key has x-coordinate with repeating bit-pattern of size 62 */ + {5558, 65, 64, 32, 2752, 32, 1, 87 }, + /* tcId: 88. ephemeral key has x-coordinate with repeating bit-pattern of size 62 */ + {5623, 65, 64, 32, 2784, 32, 1, 88 }, + /* tcId: 89. ephemeral key has x-coordinate with repeating bit-pattern of size 64 */ + {5688, 65, 64, 32, 2816, 32, 1, 89 }, + /* tcId: 90. ephemeral key has x-coordinate with repeating bit-pattern of size 64 */ + {5753, 65, 64, 32, 2848, 32, 1, 90 }, + /* tcId: 91. ephemeral key has x-coordinate with repeating bit-pattern of size 112 */ + {5818, 65, 64, 32, 2880, 32, 1, 91 }, + /* tcId: 92. ephemeral key has x-coordinate with repeating bit-pattern of size 112 */ + {5883, 65, 64, 32, 2912, 32, 1, 92 }, + /* tcId: 93. ephemeral key has x-coordinate with repeating bit-pattern of size 128 */ + {5948, 65, 64, 32, 2944, 32, 1, 93 }, + /* tcId: 94. ephemeral key has x-coordinate with repeating bit-pattern of size 128 */ + {6013, 65, 64, 32, 2976, 32, 1, 94 }, + /* tcId: 95. ephemeral key has an x-coordinate of approx p//3 */ + {6078, 65, 64, 32, 3008, 32, 1, 95 }, + /* tcId: 96. ephemeral key has an x-coordinate of approx p//5 */ + {6143, 65, 64, 32, 3040, 32, 1, 96 }, + /* tcId: 97. ephemeral key has an x-coordinate of approx p//7 */ + {6208, 65, 64, 32, 3072, 32, 1, 97 }, + /* tcId: 98. ephemeral key has an x-coordinate of approx p//9 */ + {6273, 65, 64, 32, 3104, 32, 1, 98 }, + /* tcId: 99. edge case for Jacobian and projective coordinates */ + {6338, 65, 96, 32, 3136, 32, 1, 99 }, + /* tcId: 100. edge case for Jacobian and projective coordinates */ + {6403, 65, 96, 32, 3168, 32, 1, 100 }, + /* tcId: 101. edge case for Jacobian and projective coordinates */ + {6468, 65, 96, 32, 3200, 32, 1, 101 }, + /* tcId: 102. edge case for Jacobian and projective coordinates */ + {6533, 65, 128, 32, 3232, 32, 1, 102 }, + /* tcId: 103. edge case for Jacobian and projective coordinates */ + {6598, 65, 128, 32, 3264, 32, 1, 103 }, + /* tcId: 104. edge case for Jacobian and projective coordinates */ + {6663, 65, 128, 32, 3296, 32, 1, 104 }, + /* tcId: 105. edge case for Jacobian and projective coordinates in left to right addition chain */ + {6728, 65, 96, 32, 3328, 32, 1, 105 }, + /* tcId: 106. edge case for Jacobian and projective coordinates in left to right addition chain */ + {6793, 65, 96, 32, 3360, 32, 1, 106 }, + /* tcId: 107. edge case for Jacobian and projective coordinates in left to right addition chain */ + {6858, 65, 96, 32, 3392, 32, 1, 107 }, + /* tcId: 108. edge case for Jacobian and projective coordinates in left to right addition chain */ + {6923, 65, 96, 32, 3424, 32, 1, 108 }, + /* tcId: 109. edge case for Jacobian and projective coordinates in left to right addition chain */ + {6988, 65, 96, 32, 3456, 32, 1, 109 }, + /* tcId: 110. edge case for Jacobian and projective coordinates in left to right addition chain */ + {7053, 65, 96, 32, 3488, 32, 1, 110 }, + /* tcId: 111. edge case for Jacobian and projective coordinates in left to right addition chain */ + {7118, 65, 96, 32, 3520, 32, 1, 111 }, + /* tcId: 112. edge case for Jacobian and projective coordinates in left to right addition chain */ + {7183, 65, 96, 32, 3552, 32, 1, 112 }, + /* tcId: 113. edge case for Jacobian and projective coordinates in left to right addition chain */ + {7248, 65, 96, 32, 3584, 32, 1, 113 }, + /* tcId: 114. edge case for Jacobian and projective coordinates in left to right addition chain */ + {7313, 65, 96, 32, 3616, 32, 1, 114 }, + /* tcId: 115. edge case for Jacobian and projective coordinates in left to right addition chain */ + {7378, 65, 96, 32, 3648, 32, 1, 115 }, + /* tcId: 116. edge case for Jacobian and projective coordinates in left to right addition chain */ + {7443, 65, 96, 32, 3680, 32, 1, 116 }, + /* tcId: 117. edge case for Jacobian and projective coordinates in left to right addition chain */ + {7508, 65, 96, 32, 3712, 32, 1, 117 }, + /* tcId: 118. edge case for Jacobian and projective coordinates in left to right addition chain */ + {7573, 65, 96, 32, 3744, 32, 1, 118 }, + /* tcId: 119. edge case for Jacobian and projective coordinates in left to right addition chain */ + {7638, 65, 96, 32, 3776, 32, 1, 119 }, + /* tcId: 120. edge case for Jacobian and projective coordinates in left to right addition chain */ + {7703, 65, 96, 32, 3808, 32, 1, 120 }, + /* tcId: 121. edge case for Jacobian and projective coordinates in left to right addition chain */ + {7768, 65, 128, 32, 3840, 32, 1, 121 }, + /* tcId: 122. edge case for Jacobian and projective coordinates in left to right addition chain */ + {7833, 65, 128, 32, 3872, 32, 1, 122 }, + /* tcId: 123. edge case for Jacobian and projective coordinates in left to right addition chain */ + {7898, 65, 128, 32, 3904, 32, 1, 123 }, + /* tcId: 124. edge case for Jacobian and projective coordinates in left to right addition chain */ + {7963, 65, 128, 32, 3936, 32, 1, 124 }, + /* tcId: 125. edge case for Jacobian and projective coordinates in left to right addition chain */ + {8028, 65, 128, 32, 3968, 32, 1, 125 }, + /* tcId: 126. edge case for Jacobian and projective coordinates in left to right addition chain */ + {8093, 65, 128, 32, 4000, 32, 1, 126 }, + /* tcId: 127. edge case for Jacobian and projective coordinates in left to right addition chain */ + {8158, 65, 128, 32, 4032, 32, 1, 127 }, + /* tcId: 128. edge case for Jacobian and projective coordinates in left to right addition chain */ + {8223, 65, 128, 32, 4064, 32, 1, 128 }, + /* tcId: 129. edge case for Jacobian and projective coordinates in left to right addition chain */ + {8288, 65, 128, 32, 4096, 32, 1, 129 }, + /* tcId: 130. edge case for Jacobian and projective coordinates in left to right addition chain */ + {8353, 65, 128, 32, 4128, 32, 1, 130 }, + /* tcId: 131. edge case for Jacobian and projective coordinates in left to right addition chain */ + {8418, 65, 128, 32, 4160, 32, 1, 131 }, + /* tcId: 132. edge case for Jacobian and projective coordinates in left to right addition chain */ + {8483, 65, 128, 32, 4192, 32, 1, 132 }, + /* tcId: 133. edge case for Jacobian and projective coordinates in left to right addition chain */ + {8548, 65, 128, 32, 4224, 32, 1, 133 }, + /* tcId: 134. edge case for Jacobian and projective coordinates in left to right addition chain */ + {8613, 65, 128, 32, 4256, 32, 1, 134 }, + /* tcId: 135. edge case for Jacobian and projective coordinates in left to right addition chain */ + {8678, 65, 128, 32, 4288, 32, 1, 135 }, + /* tcId: 136. edge case for Jacobian and projective coordinates in left to right addition chain */ + {8743, 65, 128, 32, 4320, 32, 1, 136 }, + /* tcId: 137. edge case for Jacobian and projective coordinates in precomputation or right to left addition chain */ + {8808, 65, 128, 32, 4352, 32, 1, 137 }, + /* tcId: 138. edge case for Jacobian and projective coordinates in precomputation or right to left addition chain */ + {8873, 65, 128, 32, 4384, 32, 1, 138 }, + /* tcId: 139. edge case for Jacobian and projective coordinates in precomputation or right to left addition chain */ + {8938, 65, 128, 32, 4416, 32, 1, 139 }, + /* tcId: 140. edge case for Jacobian and projective coordinates in precomputation or right to left addition chain */ + {9003, 65, 128, 32, 4448, 32, 1, 140 }, + /* tcId: 141. edge case for Jacobian and projective coordinates in precomputation or right to left addition chain */ + {9068, 65, 128, 32, 4480, 32, 1, 141 }, + /* tcId: 142. edge case for Jacobian and projective coordinates in precomputation or right to left addition chain */ + {9133, 65, 128, 32, 4512, 32, 1, 142 }, + /* tcId: 143. edge case for Jacobian and projective coordinates in precomputation or right to left addition chain */ + {9198, 65, 128, 32, 4544, 32, 1, 143 }, + /* tcId: 144. edge case for Jacobian and projective coordinates in precomputation or right to left addition chain */ + {9263, 65, 128, 32, 4576, 32, 1, 144 }, + /* tcId: 145. edge case for Jacobian and projective coordinates in precomputation or right to left addition chain */ + {9328, 65, 128, 32, 4608, 32, 1, 145 }, + /* tcId: 146. edge case for Jacobian and projective coordinates in precomputation or right to left addition chain */ + {9393, 65, 128, 32, 4640, 32, 1, 146 }, + /* tcId: 147. edge case for Jacobian and projective coordinates in precomputation or right to left addition chain */ + {9458, 65, 128, 32, 4672, 32, 1, 147 }, + /* tcId: 148. edge case for Jacobian and projective coordinates in precomputation or right to left addition chain */ + {9523, 65, 128, 32, 4704, 32, 1, 148 }, + /* tcId: 149. edge case for Jacobian and projective coordinates in right to left addition chain */ + {9588, 65, 128, 32, 4736, 32, 1, 149 }, + /* tcId: 150. edge case for Jacobian and projective coordinates in right to left addition chain */ + {9653, 65, 128, 32, 4768, 32, 1, 150 }, + /* tcId: 151. edge case for Jacobian and projective coordinates in right to left addition chain */ + {9718, 65, 128, 32, 4800, 32, 1, 151 }, + /* tcId: 152. edge case for Jacobian and projective coordinates in right to left addition chain */ + {9783, 65, 128, 32, 4832, 32, 1, 152 }, + /* tcId: 153. edge case for Jacobian and projective coordinates in right to left addition chain */ + {9848, 65, 128, 32, 4864, 32, 1, 153 }, + /* tcId: 154. edge case for Jacobian and projective coordinates in right to left addition chain */ + {9913, 65, 128, 32, 4896, 32, 1, 154 }, + /* tcId: 155. edge case for Jacobian and projective coordinates in right to left addition chain */ + {9978, 65, 128, 32, 4928, 32, 1, 155 }, + /* tcId: 156. edge case for Jacobian and projective coordinates in right to left addition chain */ + {10043, 65, 128, 32, 4960, 32, 1, 156 }, + /* tcId: 157. edge case for Jacobian and projective coordinates in right to left addition chain */ + {10108, 65, 128, 32, 4992, 32, 1, 157 }, + /* tcId: 158. edge case for Jacobian and projective coordinates in right to left addition chain */ + {10173, 65, 128, 32, 5024, 32, 1, 158 }, + /* tcId: 159. edge case for computation of x with projective coordinates */ + {10238, 65, 128, 32, 5056, 32, 1, 159 }, + /* tcId: 160. edge case for computation of x with projective coordinates */ + {10303, 65, 128, 32, 5088, 32, 1, 160 }, + /* tcId: 161. edge case for computation of x with projective coordinates */ + {10368, 65, 128, 32, 5120, 32, 1, 161 }, + /* tcId: 162. edge case for computation of x with projective coordinates */ + {10433, 65, 128, 32, 5152, 32, 1, 162 }, + /* tcId: 163. edge case for computation of x with projective coordinates */ + {10498, 65, 128, 32, 5184, 32, 1, 163 }, + /* tcId: 164. edge case for computation of x with projective coordinates */ + {10563, 65, 128, 32, 5216, 32, 1, 164 }, + /* tcId: 165. edge case for computation of x with projective coordinates */ + {10628, 65, 128, 32, 5248, 32, 1, 165 }, + /* tcId: 166. edge case for computation of x with projective coordinates */ + {10693, 65, 128, 32, 5280, 32, 1, 166 }, + /* tcId: 167. edge case for computation of x with projective coordinates */ + {10758, 65, 128, 32, 5312, 32, 1, 167 }, + /* tcId: 168. edge case for computation of x with projective coordinates in left to right addition chain */ + {10823, 65, 128, 32, 5344, 32, 1, 168 }, + /* tcId: 169. edge case for computation of x with projective coordinates in left to right addition chain */ + {10888, 65, 128, 32, 5376, 32, 1, 169 }, + /* tcId: 170. edge case for computation of x with projective coordinates in left to right addition chain */ + {10953, 65, 128, 32, 5408, 32, 1, 170 }, + /* tcId: 171. edge case for computation of x with projective coordinates in left to right addition chain */ + {11018, 65, 128, 32, 5440, 32, 1, 171 }, + /* tcId: 172. edge case for computation of x with projective coordinates in left to right addition chain */ + {11083, 65, 128, 32, 5472, 32, 1, 172 }, + /* tcId: 173. edge case for computation of x with projective coordinates in left to right addition chain */ + {11148, 65, 128, 32, 5504, 32, 1, 173 }, + /* tcId: 174. edge case for computation of x with projective coordinates in left to right addition chain */ + {11213, 65, 128, 32, 5536, 32, 1, 174 }, + /* tcId: 175. edge case for computation of x with projective coordinates in left to right addition chain */ + {11278, 65, 128, 32, 5568, 32, 1, 175 }, + /* tcId: 176. edge case for computation of x with projective coordinates in left to right addition chain */ + {11343, 65, 128, 32, 5600, 32, 1, 176 }, + /* tcId: 177. edge case for computation of x with projective coordinates in left to right addition chain */ + {11408, 65, 128, 32, 5632, 32, 1, 177 }, + /* tcId: 178. edge case for computation of x with projective coordinates in left to right addition chain */ + {11473, 65, 128, 32, 5664, 32, 1, 178 }, + /* tcId: 179. edge case for computation of x with projective coordinates in left to right addition chain */ + {11538, 65, 128, 32, 5696, 32, 1, 179 }, + /* tcId: 180. edge case for computation of x with projective coordinates in left to right addition chain */ + {11603, 65, 128, 32, 5728, 32, 1, 180 }, + /* tcId: 181. edge case for computation of x with projective coordinates in left to right addition chain */ + {11668, 65, 128, 32, 5760, 32, 1, 181 }, + /* tcId: 182. edge case for computation of x with projective coordinates in left to right addition chain */ + {11733, 65, 128, 32, 5792, 32, 1, 182 }, + /* tcId: 183. edge case for computation of x with projective coordinates in left to right addition chain */ + {11798, 65, 128, 32, 5824, 32, 1, 183 }, + /* tcId: 184. edge case for computation of x with projective coordinates in left to right addition chain */ + {11863, 65, 128, 32, 5856, 32, 1, 184 }, + /* tcId: 185. edge case for computation of x with projective coordinates in left to right addition chain */ + {11928, 65, 128, 32, 5888, 32, 1, 185 }, + /* tcId: 186. edge case for computation of x with projective coordinates in left to right addition chain */ + {11993, 65, 128, 32, 5920, 32, 1, 186 }, + /* tcId: 187. edge case for computation of x with projective coordinates in left to right addition chain */ + {12058, 65, 128, 32, 5952, 32, 1, 187 }, + /* tcId: 188. edge case for computation of x with projective coordinates in left to right addition chain */ + {12123, 65, 128, 32, 5984, 32, 1, 188 }, + /* tcId: 189. edge case for computation of x with projective coordinates in left to right addition chain */ + {12188, 65, 128, 32, 6016, 32, 1, 189 }, + /* tcId: 190. edge case for computation of x with projective coordinates in left to right addition chain */ + {12253, 65, 128, 32, 6048, 32, 1, 190 }, + /* tcId: 191. edge case for computation of x with projective coordinates in left to right addition chain */ + {12318, 65, 128, 32, 6080, 32, 1, 191 }, + /* tcId: 192. edge case for computation of x with projective coordinates in left to right addition chain */ + {12383, 65, 128, 32, 6112, 32, 1, 192 }, + /* tcId: 193. edge case for computation of x with projective coordinates in left to right addition chain */ + {12448, 65, 128, 32, 6144, 32, 1, 193 }, + /* tcId: 194. edge case for computation of x with projective coordinates in left to right addition chain */ + {12513, 65, 128, 32, 6176, 32, 1, 194 }, + /* tcId: 195. edge case for computation of x with projective coordinates in left to right addition chain */ + {12578, 65, 128, 32, 6208, 32, 1, 195 }, + /* tcId: 196. edge case for computation of x with projective coordinates in left to right addition chain */ + {12643, 65, 128, 32, 6240, 32, 1, 196 }, + /* tcId: 197. edge case for computation of x with projective coordinates in left to right addition chain */ + {12708, 65, 128, 32, 6272, 32, 1, 197 }, + /* tcId: 198. edge case for computation of x with projective coordinates in left to right addition chain */ + {12773, 65, 128, 32, 6304, 32, 1, 198 }, + /* tcId: 199. edge case for computation of x with projective coordinates in left to right addition chain */ + {12838, 65, 128, 32, 6336, 32, 1, 199 }, + /* tcId: 200. edge case for computation of x with projective coordinates in left to right addition chain */ + {12903, 65, 128, 32, 6368, 32, 1, 200 }, + /* tcId: 201. edge case for computation of x with projective coordinates in left to right addition chain */ + {12968, 65, 128, 32, 6400, 32, 1, 201 }, + /* tcId: 202. edge case for computation of x with projective coordinates in left to right addition chain */ + {13033, 65, 128, 32, 6432, 32, 1, 202 }, + /* tcId: 203. edge case for computation of x with projective coordinates in left to right addition chain */ + {13098, 65, 128, 32, 6464, 32, 1, 203 }, + /* tcId: 204. edge case for computation of x with projective coordinates in left to right addition chain */ + {13163, 65, 128, 32, 6496, 32, 1, 204 }, + /* tcId: 205. edge case for computation of x with projective coordinates in left to right addition chain */ + {13228, 65, 128, 32, 6528, 32, 1, 205 }, + /* tcId: 206. edge case for computation of x with projective coordinates in left to right addition chain */ + {13293, 65, 128, 32, 6560, 32, 1, 206 }, + /* tcId: 207. edge case for computation of x with projective coordinates in left to right addition chain */ + {13358, 65, 128, 32, 6592, 32, 1, 207 }, + /* tcId: 208. edge case for computation of x with projective coordinates in left to right addition chain */ + {13423, 65, 128, 32, 6624, 32, 1, 208 }, + /* tcId: 209. edge case for computation of x with projective coordinates in left to right addition chain */ + {13488, 65, 128, 32, 6656, 32, 1, 209 }, + /* tcId: 210. edge case for computation of x with projective coordinates in left to right addition chain */ + {13553, 65, 128, 32, 6688, 32, 1, 210 }, + /* tcId: 211. edge case for computation of x with projective coordinates in left to right addition chain */ + {13618, 65, 128, 32, 6720, 32, 1, 211 }, + /* tcId: 212. edge case for computation of x with projective coordinates in left to right addition chain */ + {13683, 65, 128, 32, 6752, 32, 1, 212 }, + /* tcId: 213. edge case for computation of x with projective coordinates in left to right addition chain */ + {13748, 65, 128, 32, 6784, 32, 1, 213 }, + /* tcId: 214. edge case for computation of x with projective coordinates in left to right addition chain */ + {13813, 65, 128, 32, 6816, 32, 1, 214 }, + /* tcId: 215. edge case for computation of x with projective coordinates in left to right addition chain */ + {13878, 65, 128, 32, 6848, 32, 1, 215 }, + /* tcId: 216. edge case for computation of x with projective coordinates in precomputation or right to left addition chain */ + {13943, 65, 128, 32, 6880, 32, 1, 216 }, + /* tcId: 217. edge case for computation of x with projective coordinates in precomputation or right to left addition chain */ + {14008, 65, 128, 32, 6912, 32, 1, 217 }, + /* tcId: 218. edge case for computation of x with projective coordinates in precomputation or right to left addition chain */ + {14073, 65, 128, 32, 6944, 32, 1, 218 }, + /* tcId: 219. edge case for computation of x with projective coordinates in precomputation or right to left addition chain */ + {14138, 65, 128, 32, 6976, 32, 1, 219 }, + /* tcId: 220. edge case for computation of x with projective coordinates in precomputation or right to left addition chain */ + {14203, 65, 128, 32, 7008, 32, 1, 220 }, + /* tcId: 221. edge case for computation of x with projective coordinates in precomputation or right to left addition chain */ + {14268, 65, 128, 32, 7040, 32, 1, 221 }, + /* tcId: 222. edge case for computation of x with projective coordinates in precomputation or right to left addition chain */ + {14333, 65, 128, 32, 7072, 32, 1, 222 }, + /* tcId: 223. edge case for computation of x with projective coordinates in precomputation or right to left addition chain */ + {14398, 65, 128, 32, 7104, 32, 1, 223 }, + /* tcId: 224. edge case for computation of x with projective coordinates in precomputation or right to left addition chain */ + {14463, 65, 128, 32, 7136, 32, 1, 224 }, + /* tcId: 225. edge case for computation of x with projective coordinates in precomputation or right to left addition chain */ + {14528, 65, 128, 32, 7168, 32, 1, 225 }, + /* tcId: 226. edge case for computation of x with projective coordinates in precomputation or right to left addition chain */ + {14593, 65, 128, 32, 7200, 32, 1, 226 }, + /* tcId: 227. edge case for computation of x with projective coordinates in precomputation or right to left addition chain */ + {14658, 65, 128, 32, 7232, 32, 1, 227 }, + /* tcId: 228. edge case for computation of x with projective coordinates in precomputation or right to left addition chain */ + {14723, 65, 128, 32, 7264, 32, 1, 228 }, + /* tcId: 229. edge case for computation of x with projective coordinates in precomputation or right to left addition chain */ + {14788, 65, 128, 32, 7296, 32, 1, 229 }, + /* tcId: 230. edge case for computation of x with projective coordinates in precomputation or right to left addition chain */ + {14853, 65, 128, 32, 7328, 32, 1, 230 }, + /* tcId: 231. edge case for computation of x with projective coordinates in precomputation or right to left addition chain */ + {14918, 65, 128, 32, 7360, 32, 1, 231 }, + /* tcId: 232. edge case for computation of x with projective coordinates in precomputation or right to left addition chain */ + {14983, 65, 128, 32, 7392, 32, 1, 232 }, + /* tcId: 233. edge case for computation of x with projective coordinates in precomputation or right to left addition chain */ + {15048, 65, 128, 32, 7424, 32, 1, 233 }, + /* tcId: 234. edge case for computation of x with projective coordinates in right to left addition chain */ + {15113, 65, 128, 32, 7456, 32, 1, 234 }, + /* tcId: 235. edge case for computation of x with projective coordinates in right to left addition chain */ + {15178, 65, 128, 32, 7488, 32, 1, 235 }, + /* tcId: 236. edge case for computation of x with projective coordinates in right to left addition chain */ + {15243, 65, 128, 32, 7520, 32, 1, 236 }, + /* tcId: 237. edge case for computation of x with projective coordinates in right to left addition chain */ + {15308, 65, 128, 32, 7552, 32, 1, 237 }, + /* tcId: 238. edge case for computation of x with projective coordinates in right to left addition chain */ + {15373, 65, 128, 32, 7584, 32, 1, 238 }, + /* tcId: 239. edge case for computation of x with projective coordinates in right to left addition chain */ + {15438, 65, 128, 32, 7616, 32, 1, 239 }, + /* tcId: 240. edge case for computation of x with projective coordinates in right to left addition chain */ + {15503, 65, 128, 32, 7648, 32, 1, 240 }, + /* tcId: 241. edge case for computation of x with projective coordinates in right to left addition chain */ + {15568, 65, 128, 32, 7680, 32, 1, 241 }, + /* tcId: 242. edge case for computation of x with projective coordinates in right to left addition chain */ + {15633, 65, 128, 32, 7712, 32, 1, 242 }, + /* tcId: 243. edge case for computation of x with projective coordinates in right to left addition chain */ + {15698, 65, 128, 32, 7744, 32, 1, 243 }, + /* tcId: 244. edge case for computation of x with projective coordinates in right to left addition chain */ + {15763, 65, 128, 32, 7776, 32, 1, 244 }, + /* tcId: 245. edge case for computation of x with projective coordinates in right to left addition chain */ + {15828, 65, 128, 32, 7808, 32, 1, 245 }, + /* tcId: 246. edge case for computation of x with projective coordinates in right to left addition chain */ + {15893, 65, 128, 32, 7840, 32, 1, 246 }, + /* tcId: 247. edge case for computation of x with projective coordinates in right to left addition chain */ + {15958, 65, 128, 32, 7872, 32, 1, 247 }, + /* tcId: 248. edge case for computation of x with projective coordinates in right to left addition chain */ + {16023, 65, 128, 32, 7904, 32, 1, 248 }, + /* tcId: 249. edge case for computation of y with projective coordinates */ + {16088, 65, 128, 32, 7936, 32, 1, 249 }, + /* tcId: 250. edge case for computation of y with projective coordinates */ + {16153, 65, 128, 32, 7968, 32, 1, 250 }, + /* tcId: 251. edge case for computation of y with projective coordinates */ + {16218, 65, 128, 32, 8000, 32, 1, 251 }, + /* tcId: 252. edge case for computation of y with projective coordinates in left to right addition chain */ + {16283, 65, 128, 32, 8032, 32, 1, 252 }, + /* tcId: 253. edge case for computation of y with projective coordinates in left to right addition chain */ + {16348, 65, 128, 32, 8064, 32, 1, 253 }, + /* tcId: 254. edge case for computation of y with projective coordinates in left to right addition chain */ + {16413, 65, 128, 32, 8096, 32, 1, 254 }, + /* tcId: 255. edge case for computation of y with projective coordinates in left to right addition chain */ + {16478, 65, 128, 32, 8128, 32, 1, 255 }, + /* tcId: 256. edge case for computation of y with projective coordinates in left to right addition chain */ + {16543, 65, 128, 32, 8160, 32, 1, 256 }, + /* tcId: 257. edge case for computation of y with projective coordinates in left to right addition chain */ + {16608, 65, 128, 32, 8192, 32, 1, 257 }, + /* tcId: 258. edge case for computation of y with projective coordinates in left to right addition chain */ + {16673, 65, 128, 32, 8224, 32, 1, 258 }, + /* tcId: 259. edge case for computation of y with projective coordinates in left to right addition chain */ + {16738, 65, 128, 32, 8256, 32, 1, 259 }, + /* tcId: 260. edge case for computation of y with projective coordinates in left to right addition chain */ + {16803, 65, 128, 32, 8288, 32, 1, 260 }, + /* tcId: 261. edge case for computation of y with projective coordinates in left to right addition chain */ + {16868, 65, 128, 32, 8320, 32, 1, 261 }, + /* tcId: 262. edge case for computation of y with projective coordinates in left to right addition chain */ + {16933, 65, 128, 32, 8352, 32, 1, 262 }, + /* tcId: 263. edge case for computation of y with projective coordinates in left to right addition chain */ + {16998, 65, 128, 32, 8384, 32, 1, 263 }, + /* tcId: 264. edge case for computation of y with projective coordinates in left to right addition chain */ + {17063, 65, 128, 32, 8416, 32, 1, 264 }, + /* tcId: 265. edge case for computation of y with projective coordinates in left to right addition chain */ + {17128, 65, 128, 32, 8448, 32, 1, 265 }, + /* tcId: 266. edge case for computation of y with projective coordinates in left to right addition chain */ + {17193, 65, 128, 32, 8480, 32, 1, 266 }, + /* tcId: 267. edge case for computation of y with projective coordinates in left to right addition chain */ + {17258, 65, 128, 32, 8512, 32, 1, 267 }, + /* tcId: 268. edge case for computation of y with projective coordinates in precomputation or right to left addition chain */ + {17323, 65, 128, 32, 8544, 32, 1, 268 }, + /* tcId: 269. edge case for computation of y with projective coordinates in precomputation or right to left addition chain */ + {17388, 65, 128, 32, 8576, 32, 1, 269 }, + /* tcId: 270. edge case for computation of y with projective coordinates in precomputation or right to left addition chain */ + {17453, 65, 128, 32, 8608, 32, 1, 270 }, + /* tcId: 271. edge case for computation of y with projective coordinates in precomputation or right to left addition chain */ + {17518, 65, 128, 32, 8640, 32, 1, 271 }, + /* tcId: 272. edge case for computation of y with projective coordinates in precomputation or right to left addition chain */ + {17583, 65, 128, 32, 8672, 32, 1, 272 }, + /* tcId: 273. edge case for computation of y with projective coordinates in precomputation or right to left addition chain */ + {17648, 65, 128, 32, 8704, 32, 1, 273 }, + /* tcId: 274. edge case for computation of y with projective coordinates in right to left addition chain */ + {17713, 65, 128, 32, 8736, 32, 1, 274 }, + /* tcId: 275. edge case for computation of y with projective coordinates in right to left addition chain */ + {17778, 65, 128, 32, 8768, 32, 1, 275 }, + /* tcId: 276. edge case for computation of y with projective coordinates in right to left addition chain */ + {17843, 65, 128, 32, 8800, 32, 1, 276 }, + /* tcId: 277. edge case for computation of y with projective coordinates in right to left addition chain */ + {17908, 65, 128, 32, 8832, 32, 1, 277 }, + /* tcId: 278. edge case for computation of y with projective coordinates in right to left addition chain */ + {17973, 65, 128, 32, 8864, 32, 1, 278 }, + /* tcId: 279. point with coordinate x = 1 */ + {3608, 65, 128, 32, 8896, 32, 1, 279 }, + /* tcId: 280. point with coordinate x = 1 */ + {18038, 65, 128, 32, 8928, 32, 1, 280 }, + /* tcId: 281. point with coordinate x = 1 */ + {18103, 65, 128, 32, 8960, 32, 1, 281 }, + /* tcId: 282. point with coordinate x = 1 in left to right addition chain */ + {18168, 65, 128, 32, 8992, 32, 1, 282 }, + /* tcId: 283. point with coordinate x = 1 in left to right addition chain */ + {18233, 65, 128, 32, 9024, 32, 1, 283 }, + /* tcId: 284. point with coordinate x = 1 in left to right addition chain */ + {18298, 65, 128, 32, 9056, 32, 1, 284 }, + /* tcId: 285. point with coordinate x = 1 in left to right addition chain */ + {18363, 65, 128, 32, 9088, 32, 1, 285 }, + /* tcId: 286. point with coordinate x = 1 in left to right addition chain */ + {18428, 65, 128, 32, 9120, 32, 1, 286 }, + /* tcId: 287. point with coordinate x = 1 in left to right addition chain */ + {18493, 65, 128, 32, 9152, 32, 1, 287 }, + /* tcId: 288. point with coordinate x = 1 in left to right addition chain */ + {18558, 65, 128, 32, 9184, 32, 1, 288 }, + /* tcId: 289. point with coordinate x = 1 in left to right addition chain */ + {18623, 65, 128, 32, 9216, 32, 1, 289 }, + /* tcId: 290. point with coordinate x = 1 in left to right addition chain */ + {18688, 65, 128, 32, 9248, 32, 1, 290 }, + /* tcId: 291. point with coordinate x = 1 in left to right addition chain */ + {18753, 65, 128, 32, 9280, 32, 1, 291 }, + /* tcId: 292. point with coordinate x = 1 in left to right addition chain */ + {18818, 65, 128, 32, 9312, 32, 1, 292 }, + /* tcId: 293. point with coordinate x = 1 in left to right addition chain */ + {18883, 65, 128, 32, 9344, 32, 1, 293 }, + /* tcId: 294. point with coordinate x = 1 in left to right addition chain */ + {18948, 65, 128, 32, 9376, 32, 1, 294 }, + /* tcId: 295. point with coordinate x = 1 in left to right addition chain */ + {19013, 65, 128, 32, 9408, 32, 1, 295 }, + /* tcId: 296. point with coordinate x = 1 in left to right addition chain */ + {19078, 65, 128, 32, 9440, 32, 1, 296 }, + /* tcId: 297. point with coordinate x = 1 in left to right addition chain */ + {19143, 65, 128, 32, 9472, 32, 1, 297 }, + /* tcId: 298. point with coordinate x = 1 in precomputation or right to left addition chain */ + {19208, 65, 128, 32, 9504, 32, 1, 298 }, + /* tcId: 299. point with coordinate x = 1 in precomputation or right to left addition chain */ + {19273, 65, 128, 32, 9536, 32, 1, 299 }, + /* tcId: 300. point with coordinate x = 1 in precomputation or right to left addition chain */ + {19338, 65, 128, 32, 9568, 32, 1, 300 }, + /* tcId: 301. point with coordinate x = 1 in precomputation or right to left addition chain */ + {19403, 65, 128, 32, 9600, 32, 1, 301 }, + /* tcId: 302. point with coordinate x = 1 in precomputation or right to left addition chain */ + {19468, 65, 128, 32, 9632, 32, 1, 302 }, + /* tcId: 303. point with coordinate x = 1 in precomputation or right to left addition chain */ + {19533, 65, 128, 32, 9664, 32, 1, 303 }, + /* tcId: 304. point with coordinate x = 1 in right to left addition chain */ + {19598, 65, 128, 32, 9696, 32, 1, 304 }, + /* tcId: 305. point with coordinate x = 1 in right to left addition chain */ + {19663, 65, 128, 32, 9728, 32, 1, 305 }, + /* tcId: 306. point with coordinate x = 1 in right to left addition chain */ + {19728, 65, 128, 32, 9760, 32, 1, 306 }, + /* tcId: 307. point with coordinate x = 1 in right to left addition chain */ + {19793, 65, 128, 32, 9792, 32, 1, 307 }, + /* tcId: 308. point with coordinate x = 1 in right to left addition chain */ + {19858, 65, 128, 32, 9824, 32, 1, 308 }, + /* tcId: 309. point with coordinate x = 2 */ + {3673, 65, 128, 32, 9856, 32, 1, 309 }, + /* tcId: 310. point with coordinate x = 2 */ + {19923, 65, 128, 32, 9888, 32, 1, 310 }, + /* tcId: 311. point with coordinate x = 2 */ + {19988, 65, 128, 32, 9920, 32, 1, 311 }, + /* tcId: 312. point with coordinate x = 2 in left to right addition chain */ + {20053, 65, 128, 32, 9952, 32, 1, 312 }, + /* tcId: 313. point with coordinate x = 2 in left to right addition chain */ + {20118, 65, 128, 32, 9984, 32, 1, 313 }, + /* tcId: 314. point with coordinate x = 2 in left to right addition chain */ + {20183, 65, 128, 32, 10016, 32, 1, 314 }, + /* tcId: 315. point with coordinate x = 2 in left to right addition chain */ + {20248, 65, 128, 32, 10048, 32, 1, 315 }, + /* tcId: 316. point with coordinate x = 2 in left to right addition chain */ + {20313, 65, 128, 32, 10080, 32, 1, 316 }, + /* tcId: 317. point with coordinate x = 2 in left to right addition chain */ + {20378, 65, 128, 32, 10112, 32, 1, 317 }, + /* tcId: 318. point with coordinate x = 2 in left to right addition chain */ + {20443, 65, 128, 32, 10144, 32, 1, 318 }, + /* tcId: 319. point with coordinate x = 2 in left to right addition chain */ + {20508, 65, 128, 32, 10176, 32, 1, 319 }, + /* tcId: 320. point with coordinate x = 2 in left to right addition chain */ + {20573, 65, 128, 32, 10208, 32, 1, 320 }, + /* tcId: 321. point with coordinate x = 2 in left to right addition chain */ + {20638, 65, 128, 32, 10240, 32, 1, 321 }, + /* tcId: 322. point with coordinate x = 2 in left to right addition chain */ + {20703, 65, 128, 32, 10272, 32, 1, 322 }, + /* tcId: 323. point with coordinate x = 2 in left to right addition chain */ + {20768, 65, 128, 32, 10304, 32, 1, 323 }, + /* tcId: 324. point with coordinate x = 2 in left to right addition chain */ + {20833, 65, 128, 32, 10336, 32, 1, 324 }, + /* tcId: 325. point with coordinate x = 2 in left to right addition chain */ + {20898, 65, 128, 32, 10368, 32, 1, 325 }, + /* tcId: 326. point with coordinate x = 2 in left to right addition chain */ + {20963, 65, 128, 32, 10400, 32, 1, 326 }, + /* tcId: 327. point with coordinate x = 2 in left to right addition chain */ + {21028, 65, 128, 32, 10432, 32, 1, 327 }, + /* tcId: 328. point with coordinate x = 2 in precomputation or right to left addition chain */ + {21093, 65, 128, 32, 10464, 32, 1, 328 }, + /* tcId: 329. point with coordinate x = 2 in precomputation or right to left addition chain */ + {21158, 65, 128, 32, 10496, 32, 1, 329 }, + /* tcId: 330. point with coordinate x = 2 in precomputation or right to left addition chain */ + {21223, 65, 128, 32, 10528, 32, 1, 330 }, + /* tcId: 331. point with coordinate x = 2 in precomputation or right to left addition chain */ + {21288, 65, 128, 32, 10560, 32, 1, 331 }, + /* tcId: 332. point with coordinate x = 2 in precomputation or right to left addition chain */ + {21353, 65, 128, 32, 10592, 32, 1, 332 }, + /* tcId: 333. point with coordinate x = 2 in precomputation or right to left addition chain */ + {21418, 65, 128, 32, 10624, 32, 1, 333 }, + /* tcId: 334. point with coordinate x = 2 in right to left addition chain */ + {21483, 65, 128, 32, 10656, 32, 1, 334 }, + /* tcId: 335. point with coordinate x = 2 in right to left addition chain */ + {21548, 65, 128, 32, 10688, 32, 1, 335 }, + /* tcId: 336. point with coordinate x = 2 in right to left addition chain */ + {21613, 65, 128, 32, 10720, 32, 1, 336 }, + /* tcId: 337. point with coordinate x = 2 in right to left addition chain */ + {21678, 65, 128, 32, 10752, 32, 1, 337 }, + /* tcId: 338. point with coordinate x = 2 in right to left addition chain */ + {21743, 65, 128, 32, 10784, 32, 1, 338 }, + /* tcId: 339. point with coordinate x = 3 */ + {3738, 65, 128, 32, 10816, 32, 1, 339 }, + /* tcId: 340. point with coordinate x = 3 */ + {21808, 65, 128, 32, 10848, 32, 1, 340 }, + /* tcId: 341. point with coordinate x = 3 */ + {21873, 65, 128, 32, 10880, 32, 1, 341 }, + /* tcId: 342. point with coordinate x = 3 in left to right addition chain */ + {21938, 65, 128, 32, 10912, 32, 1, 342 }, + /* tcId: 343. point with coordinate x = 3 in left to right addition chain */ + {22003, 65, 128, 32, 10944, 32, 1, 343 }, + /* tcId: 344. point with coordinate x = 3 in left to right addition chain */ + {22068, 65, 128, 32, 10976, 32, 1, 344 }, + /* tcId: 345. point with coordinate x = 3 in left to right addition chain */ + {22133, 65, 128, 32, 11008, 32, 1, 345 }, + /* tcId: 346. point with coordinate x = 3 in left to right addition chain */ + {22198, 65, 128, 32, 11040, 32, 1, 346 }, + /* tcId: 347. point with coordinate x = 3 in left to right addition chain */ + {22263, 65, 128, 32, 11072, 32, 1, 347 }, + /* tcId: 348. point with coordinate x = 3 in left to right addition chain */ + {22328, 65, 128, 32, 11104, 32, 1, 348 }, + /* tcId: 349. point with coordinate x = 3 in left to right addition chain */ + {22393, 65, 128, 32, 11136, 32, 1, 349 }, + /* tcId: 350. point with coordinate x = 3 in left to right addition chain */ + {22458, 65, 128, 32, 11168, 32, 1, 350 }, + /* tcId: 351. point with coordinate x = 3 in left to right addition chain */ + {22523, 65, 128, 32, 11200, 32, 1, 351 }, + /* tcId: 352. point with coordinate x = 3 in left to right addition chain */ + {22588, 65, 128, 32, 11232, 32, 1, 352 }, + /* tcId: 353. point with coordinate x = 3 in left to right addition chain */ + {22653, 65, 128, 32, 11264, 32, 1, 353 }, + /* tcId: 354. point with coordinate x = 3 in left to right addition chain */ + {22718, 65, 128, 32, 11296, 32, 1, 354 }, + /* tcId: 355. point with coordinate x = 3 in left to right addition chain */ + {22783, 65, 128, 32, 11328, 32, 1, 355 }, + /* tcId: 356. point with coordinate x = 3 in left to right addition chain */ + {22848, 65, 128, 32, 11360, 32, 1, 356 }, + /* tcId: 357. point with coordinate x = 3 in left to right addition chain */ + {22913, 65, 128, 32, 11392, 32, 1, 357 }, + /* tcId: 358. point with coordinate x = 3 in precomputation or right to left addition chain */ + {22978, 65, 128, 32, 11424, 32, 1, 358 }, + /* tcId: 359. point with coordinate x = 3 in precomputation or right to left addition chain */ + {23043, 65, 128, 32, 11456, 32, 1, 359 }, + /* tcId: 360. point with coordinate x = 3 in precomputation or right to left addition chain */ + {23108, 65, 128, 32, 11488, 32, 1, 360 }, + /* tcId: 361. point with coordinate x = 3 in precomputation or right to left addition chain */ + {23173, 65, 128, 32, 11520, 32, 1, 361 }, + /* tcId: 362. point with coordinate x = 3 in precomputation or right to left addition chain */ + {23238, 65, 128, 32, 11552, 32, 1, 362 }, + /* tcId: 363. point with coordinate x = 3 in precomputation or right to left addition chain */ + {23303, 65, 128, 32, 11584, 32, 1, 363 }, + /* tcId: 364. point with coordinate x = 3 in right to left addition chain */ + {23368, 65, 128, 32, 11616, 32, 1, 364 }, + /* tcId: 365. point with coordinate x = 3 in right to left addition chain */ + {23433, 65, 128, 32, 11648, 32, 1, 365 }, + /* tcId: 366. point with coordinate x = 3 in right to left addition chain */ + {23498, 65, 128, 32, 11680, 32, 1, 366 }, + /* tcId: 367. point with coordinate x = 3 in right to left addition chain */ + {23563, 65, 128, 32, 11712, 32, 1, 367 }, + /* tcId: 368. point with coordinate x = 3 in right to left addition chain */ + {23628, 65, 128, 32, 11744, 32, 1, 368 }, + /* tcId: 369. point with coordinate y = 1 */ + {23693, 65, 128, 32, 11776, 32, 1, 369 }, + /* tcId: 370. point with coordinate y = 1 */ + {23758, 65, 128, 32, 11808, 32, 1, 370 }, + /* tcId: 371. point with coordinate y = 1 */ + {23823, 65, 128, 32, 11840, 32, 1, 371 }, + /* tcId: 372. point with coordinate y = 1 */ + {23888, 65, 128, 32, 11872, 32, 1, 372 }, + /* tcId: 373. point with coordinate y = 1 */ + {23953, 65, 128, 32, 11904, 32, 1, 373 }, + /* tcId: 374. point with coordinate y = 1 */ + {24018, 65, 128, 32, 11936, 32, 1, 374 }, + /* tcId: 375. point with coordinate y = 1 */ + {24083, 65, 128, 32, 11968, 32, 1, 375 }, + /* tcId: 376. point with coordinate y = 1 */ + {24148, 65, 128, 32, 12000, 32, 1, 376 }, + /* tcId: 377. point with coordinate y = 1 */ + {24213, 65, 128, 32, 12032, 32, 1, 377 }, + /* tcId: 378. point with coordinate y = 1 in left to right addition chain */ + {24278, 65, 128, 32, 12064, 32, 1, 378 }, + /* tcId: 379. point with coordinate y = 1 in left to right addition chain */ + {24343, 65, 128, 32, 12096, 32, 1, 379 }, + /* tcId: 380. point with coordinate y = 1 in left to right addition chain */ + {24408, 65, 128, 32, 12128, 32, 1, 380 }, + /* tcId: 381. point with coordinate y = 1 in left to right addition chain */ + {24473, 65, 128, 32, 12160, 32, 1, 381 }, + /* tcId: 382. point with coordinate y = 1 in left to right addition chain */ + {24538, 65, 128, 32, 12192, 32, 1, 382 }, + /* tcId: 383. point with coordinate y = 1 in left to right addition chain */ + {24603, 65, 128, 32, 12224, 32, 1, 383 }, + /* tcId: 384. point with coordinate y = 1 in left to right addition chain */ + {24668, 65, 128, 32, 12256, 32, 1, 384 }, + /* tcId: 385. point with coordinate y = 1 in left to right addition chain */ + {24733, 65, 128, 32, 12288, 32, 1, 385 }, + /* tcId: 386. point with coordinate y = 1 in left to right addition chain */ + {24798, 65, 128, 32, 12320, 32, 1, 386 }, + /* tcId: 387. point with coordinate y = 1 in left to right addition chain */ + {24863, 65, 128, 32, 12352, 32, 1, 387 }, + /* tcId: 388. point with coordinate y = 1 in left to right addition chain */ + {24928, 65, 128, 32, 12384, 32, 1, 388 }, + /* tcId: 389. point with coordinate y = 1 in left to right addition chain */ + {24993, 65, 128, 32, 12416, 32, 1, 389 }, + /* tcId: 390. point with coordinate y = 1 in left to right addition chain */ + {25058, 65, 128, 32, 12448, 32, 1, 390 }, + /* tcId: 391. point with coordinate y = 1 in left to right addition chain */ + {25123, 65, 128, 32, 12480, 32, 1, 391 }, + /* tcId: 392. point with coordinate y = 1 in left to right addition chain */ + {25188, 65, 128, 32, 12512, 32, 1, 392 }, + /* tcId: 393. point with coordinate y = 1 in left to right addition chain */ + {25253, 65, 128, 32, 12544, 32, 1, 393 }, + /* tcId: 394. point with coordinate y = 1 in left to right addition chain */ + {25318, 65, 128, 32, 12576, 32, 1, 394 }, + /* tcId: 395. point with coordinate y = 1 in left to right addition chain */ + {25383, 65, 128, 32, 12608, 32, 1, 395 }, + /* tcId: 396. point with coordinate y = 1 in left to right addition chain */ + {25448, 65, 128, 32, 12640, 32, 1, 396 }, + /* tcId: 397. point with coordinate y = 1 in left to right addition chain */ + {25513, 65, 128, 32, 12672, 32, 1, 397 }, + /* tcId: 398. point with coordinate y = 1 in left to right addition chain */ + {25578, 65, 128, 32, 12704, 32, 1, 398 }, + /* tcId: 399. point with coordinate y = 1 in left to right addition chain */ + {25643, 65, 128, 32, 12736, 32, 1, 399 }, + /* tcId: 400. point with coordinate y = 1 in left to right addition chain */ + {25708, 65, 128, 32, 12768, 32, 1, 400 }, + /* tcId: 401. point with coordinate y = 1 in left to right addition chain */ + {25773, 65, 128, 32, 12800, 32, 1, 401 }, + /* tcId: 402. point with coordinate y = 1 in left to right addition chain */ + {25838, 65, 128, 32, 12832, 32, 1, 402 }, + /* tcId: 403. point with coordinate y = 1 in left to right addition chain */ + {25903, 65, 128, 32, 12864, 32, 1, 403 }, + /* tcId: 404. point with coordinate y = 1 in left to right addition chain */ + {25968, 65, 128, 32, 12896, 32, 1, 404 }, + /* tcId: 405. point with coordinate y = 1 in left to right addition chain */ + {26033, 65, 128, 32, 12928, 32, 1, 405 }, + /* tcId: 406. point with coordinate y = 1 in left to right addition chain */ + {26098, 65, 128, 32, 12960, 32, 1, 406 }, + /* tcId: 407. point with coordinate y = 1 in left to right addition chain */ + {26163, 65, 128, 32, 12992, 32, 1, 407 }, + /* tcId: 408. point with coordinate y = 1 in left to right addition chain */ + {26228, 65, 128, 32, 13024, 32, 1, 408 }, + /* tcId: 409. point with coordinate y = 1 in left to right addition chain */ + {26293, 65, 128, 32, 13056, 32, 1, 409 }, + /* tcId: 410. point with coordinate y = 1 in left to right addition chain */ + {26358, 65, 128, 32, 13088, 32, 1, 410 }, + /* tcId: 411. point with coordinate y = 1 in left to right addition chain */ + {26423, 65, 128, 32, 13120, 32, 1, 411 }, + /* tcId: 412. point with coordinate y = 1 in left to right addition chain */ + {26488, 65, 128, 32, 13152, 32, 1, 412 }, + /* tcId: 413. point with coordinate y = 1 in left to right addition chain */ + {26553, 65, 128, 32, 13184, 32, 1, 413 }, + /* tcId: 414. point with coordinate y = 1 in left to right addition chain */ + {26618, 65, 128, 32, 13216, 32, 1, 414 }, + /* tcId: 415. point with coordinate y = 1 in left to right addition chain */ + {26683, 65, 128, 32, 13248, 32, 1, 415 }, + /* tcId: 416. point with coordinate y = 1 in left to right addition chain */ + {26748, 65, 128, 32, 13280, 32, 1, 416 }, + /* tcId: 417. point with coordinate y = 1 in left to right addition chain */ + {26813, 65, 128, 32, 13312, 32, 1, 417 }, + /* tcId: 418. point with coordinate y = 1 in left to right addition chain */ + {26878, 65, 128, 32, 13344, 32, 1, 418 }, + /* tcId: 419. point with coordinate y = 1 in left to right addition chain */ + {26943, 65, 128, 32, 13376, 32, 1, 419 }, + /* tcId: 420. point with coordinate y = 1 in left to right addition chain */ + {27008, 65, 128, 32, 13408, 32, 1, 420 }, + /* tcId: 421. point with coordinate y = 1 in left to right addition chain */ + {27073, 65, 128, 32, 13440, 32, 1, 421 }, + /* tcId: 422. point with coordinate y = 1 in left to right addition chain */ + {27138, 65, 128, 32, 13472, 32, 1, 422 }, + /* tcId: 423. point with coordinate y = 1 in left to right addition chain */ + {27203, 65, 128, 32, 13504, 32, 1, 423 }, + /* tcId: 424. point with coordinate y = 1 in left to right addition chain */ + {27268, 65, 128, 32, 13536, 32, 1, 424 }, + /* tcId: 425. point with coordinate y = 1 in left to right addition chain */ + {27333, 65, 128, 32, 13568, 32, 1, 425 }, + /* tcId: 426. point with coordinate y = 1 in precomputation or right to left addition chain */ + {27398, 65, 128, 32, 13600, 32, 1, 426 }, + /* tcId: 427. point with coordinate y = 1 in precomputation or right to left addition chain */ + {27463, 65, 128, 32, 13632, 32, 1, 427 }, + /* tcId: 428. point with coordinate y = 1 in precomputation or right to left addition chain */ + {27528, 65, 128, 32, 13664, 32, 1, 428 }, + /* tcId: 429. point with coordinate y = 1 in precomputation or right to left addition chain */ + {27593, 65, 128, 32, 13696, 32, 1, 429 }, + /* tcId: 430. point with coordinate y = 1 in precomputation or right to left addition chain */ + {27658, 65, 128, 32, 13728, 32, 1, 430 }, + /* tcId: 431. point with coordinate y = 1 in precomputation or right to left addition chain */ + {27723, 65, 128, 32, 13760, 32, 1, 431 }, + /* tcId: 432. point with coordinate y = 1 in precomputation or right to left addition chain */ + {27788, 65, 128, 32, 13792, 32, 1, 432 }, + /* tcId: 433. point with coordinate y = 1 in precomputation or right to left addition chain */ + {27853, 65, 128, 32, 13824, 32, 1, 433 }, + /* tcId: 434. point with coordinate y = 1 in precomputation or right to left addition chain */ + {27918, 65, 128, 32, 13856, 32, 1, 434 }, + /* tcId: 435. point with coordinate y = 1 in precomputation or right to left addition chain */ + {27983, 65, 128, 32, 13888, 32, 1, 435 }, + /* tcId: 436. point with coordinate y = 1 in precomputation or right to left addition chain */ + {28048, 65, 128, 32, 13920, 32, 1, 436 }, + /* tcId: 437. point with coordinate y = 1 in precomputation or right to left addition chain */ + {28113, 65, 128, 32, 13952, 32, 1, 437 }, + /* tcId: 438. point with coordinate y = 1 in precomputation or right to left addition chain */ + {28178, 65, 128, 32, 13984, 32, 1, 438 }, + /* tcId: 439. point with coordinate y = 1 in precomputation or right to left addition chain */ + {28243, 65, 128, 32, 14016, 32, 1, 439 }, + /* tcId: 440. point with coordinate y = 1 in precomputation or right to left addition chain */ + {28308, 65, 128, 32, 14048, 32, 1, 440 }, + /* tcId: 441. point with coordinate y = 1 in precomputation or right to left addition chain */ + {28373, 65, 128, 32, 14080, 32, 1, 441 }, + /* tcId: 442. point with coordinate y = 1 in precomputation or right to left addition chain */ + {28438, 65, 128, 32, 14112, 32, 1, 442 }, + /* tcId: 443. point with coordinate y = 1 in precomputation or right to left addition chain */ + {28503, 65, 128, 32, 14144, 32, 1, 443 }, + /* tcId: 444. point with coordinate y = 1 in right to left addition chain */ + {28568, 65, 128, 32, 14176, 32, 1, 444 }, + /* tcId: 445. point with coordinate y = 1 in right to left addition chain */ + {28633, 65, 128, 32, 14208, 32, 1, 445 }, + /* tcId: 446. point with coordinate y = 1 in right to left addition chain */ + {28698, 65, 128, 32, 14240, 32, 1, 446 }, + /* tcId: 447. point with coordinate y = 1 in right to left addition chain */ + {28763, 65, 128, 32, 14272, 32, 1, 447 }, + /* tcId: 448. point with coordinate y = 1 in right to left addition chain */ + {28828, 65, 128, 32, 14304, 32, 1, 448 }, + /* tcId: 449. point with coordinate y = 1 in right to left addition chain */ + {28893, 65, 128, 32, 14336, 32, 1, 449 }, + /* tcId: 450. point with coordinate y = 1 in right to left addition chain */ + {28958, 65, 128, 32, 14368, 32, 1, 450 }, + /* tcId: 451. point with coordinate y = 1 in right to left addition chain */ + {29023, 65, 128, 32, 14400, 32, 1, 451 }, + /* tcId: 452. point with coordinate y = 1 in right to left addition chain */ + {29088, 65, 128, 32, 14432, 32, 1, 452 }, + /* tcId: 453. point with coordinate y = 1 in right to left addition chain */ + {29153, 65, 128, 32, 14464, 32, 1, 453 }, + /* tcId: 454. point with coordinate y = 1 in right to left addition chain */ + {29218, 65, 128, 32, 14496, 32, 1, 454 }, + /* tcId: 455. point with coordinate y = 1 in right to left addition chain */ + {29283, 65, 128, 32, 14528, 32, 1, 455 }, + /* tcId: 456. point with coordinate y = 1 in right to left addition chain */ + {29348, 65, 128, 32, 14560, 32, 1, 456 }, + /* tcId: 457. point with coordinate y = 1 in right to left addition chain */ + {29413, 65, 128, 32, 14592, 32, 1, 457 }, + /* tcId: 458. point with coordinate y = 1 in right to left addition chain */ + {29478, 65, 128, 32, 14624, 32, 1, 458 }, + /* tcId: 459. edge case private key */ + {29543, 65, 160, 32, 14656, 32, 1, 459 }, + /* tcId: 460. edge case private key */ + {29543, 65, 192, 32, 14688, 32, 1, 460 }, + /* tcId: 461. edge case private key */ + {29543, 65, 224, 32, 14720, 32, 1, 461 }, + /* tcId: 462. edge case private key */ + {29543, 65, 256, 32, 14752, 32, 1, 462 }, + /* tcId: 463. edge case private key */ + {29543, 65, 288, 32, 14784, 32, 1, 463 }, + /* tcId: 464. edge case private key */ + {29543, 65, 320, 32, 14816, 32, 1, 464 }, + /* tcId: 465. edge case private key */ + {29543, 65, 352, 32, 14848, 32, 1, 465 }, + /* tcId: 466. edge case private key */ + {29543, 65, 384, 32, 14880, 32, 1, 466 }, + /* tcId: 467. edge case private key */ + {29543, 65, 416, 32, 14912, 32, 1, 467 }, + /* tcId: 468. edge case private key */ + {29543, 65, 448, 32, 14944, 32, 1, 468 }, + /* tcId: 469. edge case private key */ + {29543, 65, 480, 32, 14976, 32, 1, 469 }, + /* tcId: 470. edge case private key */ + {29543, 65, 512, 32, 15008, 32, 1, 470 }, + /* tcId: 471. edge case private key */ + {29543, 65, 544, 32, 15040, 32, 1, 471 }, + /* tcId: 472. edge case private key */ + {29543, 65, 576, 32, 15072, 32, 1, 472 }, + /* tcId: 473. edge case private key */ + {29543, 65, 608, 32, 15104, 32, 1, 473 }, + /* tcId: 474. edge case private key */ + {29543, 65, 640, 32, 15136, 32, 1, 474 }, + /* tcId: 475. point is not on curve */ + {29608, 65, 672, 32, 15168, 0, 0, 475 }, + /* tcId: 476. point is not on curve */ + {29673, 65, 672, 32, 15168, 0, 0, 476 }, + /* tcId: 477. point is not on curve */ + {29738, 65, 672, 32, 15168, 0, 0, 477 }, + /* tcId: 478. point is not on curve */ + {29803, 65, 672, 32, 15168, 0, 0, 478 }, + /* tcId: 479. point is not on curve */ + {29868, 65, 672, 32, 15168, 0, 0, 479 }, + /* tcId: 480. point is not on curve */ + {29933, 65, 672, 32, 15168, 0, 0, 480 }, + /* tcId: 481. point is not on curve */ + {29998, 65, 672, 32, 15168, 0, 0, 481 }, + /* tcId: 482. point is not on curve */ + {30063, 65, 672, 32, 15168, 0, 0, 482 }, + /* tcId: 483. point is not on curve */ + {30128, 65, 672, 32, 15168, 0, 0, 483 }, + /* tcId: 484. point is not on curve */ + {30193, 65, 672, 32, 15168, 0, 0, 484 }, + /* tcId: 485. point is not on curve */ + {30258, 65, 672, 32, 15168, 0, 0, 485 }, + /* tcId: 486. point is not on curve */ + {30323, 65, 672, 32, 15168, 0, 0, 486 }, + /* tcId: 487. point is not on curve */ + {30388, 65, 672, 32, 15168, 0, 0, 487 }, + /* tcId: 488. point is not on curve */ + {30453, 65, 672, 32, 15168, 0, 0, 488 }, + /* tcId: 489. point is not on curve */ + {30518, 65, 672, 32, 15168, 0, 0, 489 }, + /* tcId: 490. point is not on curve */ + {30583, 65, 672, 32, 15168, 0, 0, 490 }, + /* tcId: 491. */ + {30648, 0, 672, 32, 15168, 0, 0, 491 }, + /* tcId: 494. public point not on curve */ + {30648, 65, 704, 32, 15168, 0, 0, 494 }, + /* tcId: 495. public point = (0,0) */ + {29608, 65, 704, 32, 15168, 0, 0, 495 }, + /* tcId: 498. order = 1 */ + {30713, 65, 704, 32, 15168, 32, 1, 498 }, + /* tcId: 499. order = 26959946667150639794667015087019630673536463705607434823784316690060 */ + {30713, 65, 704, 32, 15200, 32, 1, 499 }, + /* tcId: 500. generator = (0,0) */ + {30713, 65, 704, 32, 15232, 32, 1, 500 }, + /* tcId: 501. generator not on curve */ + {30713, 65, 704, 32, 15264, 32, 1, 501 }, + /* tcId: 506. cofactor = None */ + {30713, 65, 704, 32, 15296, 32, 1, 506 }, + /* tcId: 508. using secp224r1 */ + {30778, 57, 704, 32, 15328, 0, 0, 508 }, + /* tcId: 509. using secp256r1 */ + {30835, 65, 704, 32, 15328, 0, 0, 509 }, + /* tcId: 510. a = 0 */ + {30713, 65, 704, 32, 15328, 32, 1, 510 }, + /* tcId: 511. public key of order 3 */ + {30900, 65, 704, 32, 15360, 0, 0, 511 }, + /* tcId: 528. invalid public key */ + {30965, 33, 736, 32, 15360, 0, 0, 528 }, + +}; diff --git a/src/wycheproof/ecdh_secp256k1_test.json b/src/wycheproof/ecdh_secp256k1_test.json new file mode 100644 index 0000000000..71da94723c --- /dev/null +++ b/src/wycheproof/ecdh_secp256k1_test.json @@ -0,0 +1,8444 @@ +{ + "algorithm" : "ECDH", + "schema" : "ecdh_test_schema.json", + "numberOfTests" : 752, + "header" : [ + "Test vectors of type EcdhTest are intended for", + "testing an ECDH implementations using X509 encoded", + "public keys and integers for private keys.", + "Test vectors of this format are useful for testing", + "Java providers." + ], + "notes" : { + "AdditionChain" : { + "bugType" : "KNOWN_BUG", + "description" : "The private key has an unusual bit pattern, such as high or low Hamming weight. The goal is to test edge cases for addition chain implementations." + }, + "CompressedPoint" : { + "bugType" : "UNKNOWN", + "description" : "The point in the public key is compressed. Not every library supports points in compressed format." + }, + "CompressedPublic" : { + "bugType" : "FUNCTIONALITY", + "description" : "The public key in the test vector is compressed. Some implementations do not support compressed points." + }, + "EdgeCaseDoubling" : { + "bugType" : "EDGE_CASE", + "description" : "The test vector contains an EC point that hits an edge case (e.g. a coordinate 0) when doubled. The goal of the test vector is to check for arithmetic errors in these test cases.", + "effect" : "The effect of such arithmetic errors is unclear and requires further analysis." + }, + "EdgeCaseEphemeralKey" : { + "bugType" : "EDGE_CASE", + "description" : "The test vector contains an ephemeral public key that is an edge case." + }, + "EdgeCaseSharedSecret" : { + "bugType" : "EDGE_CASE", + "description" : "The test vector contains a public key and private key such that the shared ECDH secret is a special case. The goal of this test vector is to detect arithmetic errors.", + "effect" : "The seriousness of an arithmetic error is unclear. It requires further analysis to determine if the bug is exploitable." + }, + "InvalidAsn" : { + "bugType" : "UNKNOWN", + "description" : "The public key in this test uses an invalid ASN encoding. Some cases where the ASN parser is not strictly checking the ASN format are benign as long as the ECDH computation still returns the correct shared value." + }, + "InvalidCompressedPublic" : { + "bugType" : "MODIFIED_PARAMETER", + "description" : "The test vector contains a compressed public key that does not exist. I.e., it contains an x-coordinate that does not correspond to any points on the curve. Such keys should be rejected " + }, + "InvalidCurveAttack" : { + "bugType" : "CONFIDENTIALITY", + "description" : "The point of the public key is not on the curve. ", + "effect" : "If an implementation does not check whether a point is on the curve then it is likely that the implementation is susceptible to an invalid curve attack. Many implementations compute the shared ECDH secret over a curve defined by the point on the public key. This curve can be weak and hence leak information about the private key." + }, + "InvalidEncoding" : { + "bugType" : "MODIFIED_PARAMETER", + "description" : "The test vector contains a public key with an invalid encoding." + }, + "InvalidPublic" : { + "bugType" : "CAN_OF_WORMS", + "description" : "The public key has been modified and is invalid. An implementation should always check whether the public key is valid and on the same curve as the private key. The test vector includes the shared secret computed with the original public key if the public point is on the curve of the private key.", + "effect" : "Generating a shared secret other than the one with the original key likely indicates that the bug is exploitable." + }, + "LargeCofactor" : { + "bugType" : "MODIFIED_PARAMETER", + "description" : "The cofactor is larger than the limits specified in FIPS-PUB 186-4 table 1, p.36." + }, + "Modified curve parameter" : { + "bugType" : "MODIFIED_PARAMETER", + "description" : "The parameters a and b of the curve have been modified. The parameters haven been chosen so that public key or generator still are also valid points on the new curve." + }, + "ModifiedCofactor" : { + "bugType" : "MODIFIED_PARAMETER", + "description" : "The cofactor has been modified. ", + "effect" : "The seriousness of accepting a key with modified cofactor depends on whether the primitive using the key actually uses the cofactor." + }, + "ModifiedGenerator" : { + "bugType" : "MODIFIED_PARAMETER", + "description" : "The generator of the EC group has been modified.", + "effect" : "The seriousness of the modification depends on whether the cryptographic primitive uses the generator. In the worst case such a modification allows an invalid curve attack." + }, + "ModifiedGroup" : { + "bugType" : "MODIFIED_PARAMETER", + "description" : "The EC curve of the public key has been modified. EC curve primitives should always check that the keys are on the expected curve." + }, + "ModifiedPrime" : { + "bugType" : "MODIFIED_PARAMETER", + "description" : "The modulus of the public key has been modified. The public point of the public key has been chosen so that it is both a point on both the curve of the modified public key and the private key." + }, + "ModifiedPublicPoint" : { + "bugType" : "MODIFIED_PARAMETER", + "description" : "The public point of the key has been modified and is not on the curve.", + "effect" : "Not checking that a public point is on the curve may allow an invalid curve attack." + }, + "NegativeCofactor" : { + "bugType" : "MODIFIED_PARAMETER", + "description" : "The cofactor of the curve is negative." + }, + "Normal" : { + "bugType" : "BASIC", + "description" : "The test vector contains a pseudorandomly generated, valid test case. Implementations are expected to pass this test." + }, + "UnnamedCurve" : { + "bugType" : "UNKNOWN", + "description" : "The public key does not use a named curve. RFC 3279 allows to encode such curves by explicitly encoding, the parameters of the curve equation, modulus, generator, order and cofactor. However, many crypto libraries only support named curves. Modifying some of the EC parameters and encoding the corresponding public key as an unnamed curve is a potential attack vector." + }, + "UnusedParam" : { + "bugType" : "MALLEABILITY", + "description" : "A parameter that is typically not used for ECDH has been modified. Sometimes libraries ignore small differences between public and private key. For example, a library might ignore an incorrect cofactor in the public key. We consider ignoring such changes as acceptable as long as these differences do not change the outcome of the ECDH computation, i.e. as long as the computation is done on the curve from the private key." + }, + "WeakPublicKey" : { + "bugType" : "MODIFIED_PARAMETER", + "description" : "The vector contains a weak public key. The curve is not a named curve, the public key point has order 3 and has been chosen to be on the same curve as the private key. This test vector is used to check ECC implementations for missing steps in the verification of the public key." + }, + "WrongCurve" : { + "bugType" : "CONFIDENTIALITY", + "description" : "The public key and private key use distinct curves. Implementations are expected to reject such parameters.", + "effect" : "Computing an ECDH key exchange with public and private keys can in the worst case lead to an invalid curve attack. Hence, it is important that ECDH implementations check the input parameters. The severity of such bugs is typically smaller if an implementation ensures that the point is on the curve and that the ECDH computation is performed on the curve of the private key. Some of the test vectors with modified public key contain shared ECDH secrets, that were computed over the curve of the private key." + }, + "WrongOrder" : { + "bugType" : "MODIFIED_PARAMETER", + "description" : "The order of the public key has been modified.", + "effect" : "If this order is used in a cryptographic primitive instead of the correct order then an invalid curve attack is possible and the private keys may leak. E.g. ECDHC in BC 1.52 suffered from this." + } + }, + "testGroups" : [ + { + "type" : "EcdhTest", + "source" : { + "name" : "google-wycheproof", + "version" : "0.9rc5" + }, + "curve" : "secp256k1", + "encoding" : "asn", + "tests" : [ + { + "tcId" : 1, + "comment" : "normal case", + "flags" : [ + "Normal" + ], + "public" : "3056301006072a8648ce3d020106052b8104000a03420004d8096af8a11e0b80037e1ee68246b5dcbb0aeb1cf1244fd767db80f3fa27da2b396812ea1686e7472e9692eaf3e958e50e9500d3b4c77243db1f2acd67ba9cc4", + "private" : "00f4b7ff7cccc98813a69fae3df222bfe3f4e28f764bf91b4a10d8096ce446b254", + "shared" : "544dfae22af6af939042b1d85b71a1e49e9a5614123c4d6ad0c8af65baf87d65", + "result" : "valid" + }, + { + "tcId" : 2, + "comment" : "compressed public key", + "flags" : [ + "CompressedPublic", + "CompressedPoint" + ], + "public" : "3036301006072a8648ce3d020106052b8104000a03220002d8096af8a11e0b80037e1ee68246b5dcbb0aeb1cf1244fd767db80f3fa27da2b", + "private" : 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"3055301006072a8648ce3d020106052b8104000a03410004e03faca42a8b811759211d49b69dd0e0a686b28ff7b5817789a2f80050791335bf34cf495029075de25603fd56dd3cef36ee8503b9f3b0c1340c8e4012da32", + "private" : "0495800a83e6c1d61886d332e2613aa3f70df22865b0387ca6ca195cfcd2b2b1", + "shared" : "ebdca74dbf2c8ef63af8d86e0e0ee4511399bc08a395c4ea050bab43a29d2646", + "result" : "acceptable" + }, + { + "tcId" : 747, + "comment" : "truncated bit string", + "flags" : [ + "InvalidAsn" + ], + "public" : "3055301006072a8648ce3d020106052b8104000a034104e03faca42a8b811759211d49b69dd0e0a686b28ff7b5817789a2f80050791335bf34cf495029075de25603fd56dd3cef36ee8503b9f3b0c1340c8e4012da3267", + "private" : "0495800a83e6c1d61886d332e2613aa3f70df22865b0387ca6ca195cfcd2b2b1", + "shared" : "ebdca74dbf2c8ef63af8d86e0e0ee4511399bc08a395c4ea050bab43a29d2646", + "result" : "acceptable" + }, + { + "tcId" : 748, + "comment" : "bit string of size 4163 to check for overflows", + "flags" : [ + "InvalidAsn" + ], + "public" : "30821059301006072a8648ce3d020106052b8104000a038210430004e03faca42a8b811759211d49b69dd0e0a686b28ff7b5817789a2f80050791335bf34cf495029075de25603fd56dd3cef36ee8503b9f3b0c1340c8e4012da3267000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000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+ "private" : "0495800a83e6c1d61886d332e2613aa3f70df22865b0387ca6ca195cfcd2b2b1", + "shared" : "ebdca74dbf2c8ef63af8d86e0e0ee4511399bc08a395c4ea050bab43a29d2646", + "result" : "acceptable" + }, + { + "tcId" : 749, + "comment" : "declaring bits as unused in bit string", + "flags" : [ + "InvalidAsn" + ], + "public" : "3056301006072a8648ce3d020106052b8104000a03420104e03faca42a8b811759211d49b69dd0e0a686b28ff7b5817789a2f80050791335bf34cf495029075de25603fd56dd3cef36ee8503b9f3b0c1340c8e4012da3267", + "private" : "0495800a83e6c1d61886d332e2613aa3f70df22865b0387ca6ca195cfcd2b2b1", + "shared" : "ebdca74dbf2c8ef63af8d86e0e0ee4511399bc08a395c4ea050bab43a29d2646", + "result" : "acceptable" + }, + { + "tcId" : 750, + "comment" : "unused bits in bit string", + "flags" : [ + "InvalidAsn" + ], + "public" : "305a301006072a8648ce3d020106052b8104000a03462004e03faca42a8b811759211d49b69dd0e0a686b28ff7b5817789a2f80050791335bf34cf495029075de25603fd56dd3cef36ee8503b9f3b0c1340c8e4012da326701020304", + "private" : "0495800a83e6c1d61886d332e2613aa3f70df22865b0387ca6ca195cfcd2b2b1", + "shared" : "ebdca74dbf2c8ef63af8d86e0e0ee4511399bc08a395c4ea050bab43a29d2646", + "result" : "acceptable" + }, + { + "tcId" : 751, + "comment" : "unused bits in empty bit-string", + "flags" : [ + "InvalidAsn" + ], + "public" : "3015301006072a8648ce3d020106052b8104000a030103", + "private" : "0495800a83e6c1d61886d332e2613aa3f70df22865b0387ca6ca195cfcd2b2b1", + "shared" : "ebdca74dbf2c8ef63af8d86e0e0ee4511399bc08a395c4ea050bab43a29d2646", + "result" : "acceptable" + }, + { + "tcId" : 752, + "comment" : "128 unused bits", + "flags" : [ + "InvalidAsn" + ], + "public" : "3056301006072a8648ce3d020106052b8104000a03428004e03faca42a8b811759211d49b69dd0e0a686b28ff7b5817789a2f80050791335bf34cf495029075de25603fd56dd3cef36ee8503b9f3b0c1340c8e4012da3267", + "private" : "0495800a83e6c1d61886d332e2613aa3f70df22865b0387ca6ca195cfcd2b2b1", + "shared" : "ebdca74dbf2c8ef63af8d86e0e0ee4511399bc08a395c4ea050bab43a29d2646", + "result" : "acceptable" + } + ] + } + ] +} diff --git a/src/wycheproof/ecdsa_secp256k1_sha256_bitcoin_test.h b/src/wycheproof/ecdsa_secp256k1_sha256_bitcoin_test.h new file mode 100644 index 0000000000..556c235689 --- /dev/null +++ b/src/wycheproof/ecdsa_secp256k1_sha256_bitcoin_test.h @@ -0,0 +1,1564 @@ +/* Note: this file was autogenerated using tests_wycheproof_generate_ecdsa.py. Do not edit. */ +#define SECP256K1_ECDSA_WYCHEPROOF_NUMBER_TESTVECTORS (463) + +typedef struct { + size_t pk_offset; + size_t msg_offset; + size_t msg_len; + size_t sig_offset; + size_t sig_len; + int expected_verify; +} wycheproof_ecdsa_testvector; + +static const unsigned char wycheproof_ecdsa_messages[] = { 0x31,0x32,0x33,0x34,0x30,0x30, + 0x32,0x35,0x35,0x38,0x35, + 0x34,0x32,0x36,0x34,0x37,0x39,0x37,0x32,0x34, + 0x37,0x31,0x33,0x38,0x36,0x38,0x34,0x38,0x39,0x31, + 0x31,0x30,0x33,0x35,0x39,0x33,0x33,0x31,0x36,0x36,0x38, + 0x33,0x39,0x34,0x39,0x34,0x30,0x31,0x32,0x31,0x35, + 0x31,0x33,0x34,0x34,0x32,0x39,0x33,0x30,0x37,0x39, + 0x33,0x37,0x30,0x36,0x32,0x31,0x31,0x37,0x31,0x32, + 0x33,0x34,0x33,0x36,0x38,0x38,0x37,0x31,0x32, + 0x31,0x33,0x35,0x31,0x35,0x33,0x30,0x33,0x37,0x30, + 0x36,0x35,0x35,0x33,0x32,0x30,0x33,0x31,0x32,0x36, + 0x31,0x35,0x36,0x34,0x33,0x34,0x36,0x36,0x30,0x33, + 0x34,0x34,0x32,0x39,0x35,0x33,0x39,0x31,0x31,0x37, + 0x31,0x30,0x39,0x35,0x33,0x32,0x36,0x31,0x33,0x35,0x31, + 0x35,0x39,0x38,0x37,0x33,0x35,0x30,0x30,0x34,0x31, + 0x33,0x34,0x36,0x33,0x30,0x30,0x36,0x38,0x37,0x38, + 0x39,0x38,0x31,0x37,0x33,0x32,0x30,0x32,0x38,0x37, + 0x33,0x32,0x32,0x32,0x30,0x34,0x31,0x30,0x34,0x36, + 0x36,0x36,0x36,0x36,0x33,0x30,0x37,0x31,0x30,0x34, + 0x31,0x30,0x33,0x35,0x39,0x35,0x31,0x38,0x39,0x38, + 0x31,0x38,0x34,0x36,0x35,0x39,0x37,0x31,0x39,0x35, + 0x33,0x31,0x33,0x36,0x30,0x34,0x36,0x31,0x38,0x39, + 0x32,0x36,0x36,0x33,0x37,0x38,0x34,0x32,0x35,0x34, + 0x31,0x36,0x35,0x32,0x31,0x30,0x30,0x35,0x32,0x34, + 0x35,0x37,0x34,0x38,0x30,0x38,0x31,0x36,0x39,0x36, + 0x36,0x33,0x34,0x33,0x39,0x31,0x33,0x34,0x36,0x38, + 0x31,0x35,0x34,0x31,0x31,0x30,0x33,0x35,0x39,0x38, + 0x31,0x30,0x34,0x37,0x38,0x35,0x38,0x30,0x31,0x32,0x38, + 0x31,0x30,0x35,0x33,0x36,0x32,0x38,0x35,0x35,0x36,0x38, + 0x39,0x35,0x33,0x39,0x30,0x34,0x31,0x30,0x35, + 0x39,0x37,0x38,0x38,0x34,0x38,0x30,0x33,0x39, + 0x33,0x36,0x31,0x30,0x36,0x37,0x32,0x34,0x34,0x32, + 0x31,0x30,0x35,0x34,0x32,0x34,0x30,0x37,0x30,0x35, + 0x35,0x31,0x37,0x34,0x34,0x34,0x38,0x31,0x39,0x37, + 0x31,0x39,0x36,0x37,0x35,0x36,0x31,0x32,0x35,0x31, + 0x33,0x34,0x34,0x37,0x32,0x35,0x33,0x33,0x34,0x33, + 0x33,0x36,0x38,0x32,0x36,0x34,0x33,0x31,0x38, + 0x33,0x32,0x36,0x31,0x31,0x39,0x38,0x36,0x30,0x38, + 0x39,0x36,0x37,0x38,0x37,0x38,0x31,0x30,0x39,0x34, + 0x34,0x39,0x35,0x38,0x38,0x32,0x33,0x38,0x32,0x33, + 0x38,0x32,0x34,0x36,0x33,0x37,0x38,0x33,0x37, + 0x31,0x31,0x30,0x32,0x30,0x38,0x33,0x33,0x37,0x37,0x36, + 0x31,0x33,0x33,0x38,0x37,0x31,0x36,0x34,0x38, + 0x33,0x32,0x32,0x31,0x34,0x34,0x31,0x36,0x32, + 0x31,0x30,0x36,0x38,0x36,0x36,0x35,0x35,0x35,0x34,0x36, + 0x36,0x32,0x31,0x35,0x35,0x32,0x34,0x36, + 0x37,0x30,0x33,0x30,0x38,0x31,0x38,0x37,0x37,0x34, + 0x35,0x39,0x32,0x34,0x35,0x32,0x33,0x37,0x34,0x34, + 0x31,0x34,0x39,0x35,0x35,0x38,0x36,0x36,0x32,0x31, + 0x34,0x30,0x30,0x35,0x33,0x31,0x34,0x34,0x30,0x36, + 0x33,0x30,0x39,0x36,0x34,0x35,0x37,0x35,0x31,0x32, + 0x32,0x37,0x38,0x34,0x30,0x32,0x35,0x36,0x32,0x30, + 0x32,0x36,0x31,0x38,0x37,0x38,0x37,0x34,0x31,0x38, + 0x31,0x36,0x34,0x32,0x36,0x32,0x35,0x32,0x36,0x32, + 0x36,0x38,0x32,0x34,0x31,0x38,0x39,0x34,0x33,0x36, + 0x34,0x38,0x34,0x32,0x34,0x35,0x34,0x32,0x35, + 0x4d,0x73,0x67, + 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, + 0x4d,0x65,0x73,0x73,0x61,0x67,0x65}; + +static const unsigned char wycheproof_ecdsa_public_keys[] = { 0x04,0xb8,0x38,0xff,0x44,0xe5,0xbc,0x17,0x7b,0xf2,0x11,0x89,0xd0,0x76,0x60,0x82,0xfc,0x9d,0x84,0x32,0x26,0x88,0x7f,0xc9,0x76,0x03,0x71,0x10,0x0b,0x7e,0xe2,0x0a,0x6f,0xf0,0xc9,0xd7,0x5b,0xfb,0xa7,0xb3,0x1a,0x6b,0xca,0x19,0x74,0x49,0x6e,0xeb,0x56,0xde,0x35,0x70,0x71,0x95,0x5d,0x83,0xc4,0xb1,0xba,0xda,0xa0,0xb2,0x18,0x32,0xe9, + 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0x04,0x79,0xbe,0x66,0x7e,0xf9,0xdc,0xbb,0xac,0x55,0xa0,0x62,0x95,0xce,0x87,0x0b,0x07,0x02,0x9b,0xfc,0xdb,0x2d,0xce,0x28,0xd9,0x59,0xf2,0x81,0x5b,0x16,0xf8,0x17,0x98,0xb7,0xc5,0x25,0x88,0xd9,0x5c,0x3b,0x9a,0xa2,0x5b,0x04,0x03,0xf1,0xee,0xf7,0x57,0x02,0xe8,0x4b,0xb7,0x59,0x7a,0xab,0xe6,0x63,0xb8,0x2f,0x6f,0x04,0xef,0x27,0x77, + 0x04,0x78,0x2c,0x8e,0xd1,0x7e,0x3b,0x2a,0x78,0x3b,0x54,0x64,0xf3,0x3b,0x09,0x65,0x2a,0x71,0xc6,0x78,0xe0,0x5e,0xc5,0x1e,0x84,0xe2,0xbc,0xfc,0x66,0x3a,0x3d,0xe9,0x63,0xaf,0x9a,0xcb,0x42,0x80,0xb8,0xc7,0xf7,0xc4,0x2f,0x4e,0xf9,0xab,0xa6,0x24,0x5e,0xc1,0xec,0x17,0x12,0xfd,0x38,0xa0,0xfa,0x96,0x41,0x8d,0x8c,0xd6,0xaa,0x61,0x52, + 0x04,0x6e,0x82,0x35,0x55,0x45,0x29,0x14,0x09,0x91,0x82,0xc6,0xb2,0xc1,0xd6,0xf0,0xb5,0xd2,0x8d,0x50,0xcc,0xd0,0x05,0xaf,0x2c,0xe1,0xbb,0xa5,0x41,0xaa,0x40,0xca,0xff,0x00,0x00,0x00,0x01,0x06,0x04,0x92,0xd5,0xa5,0x67,0x3e,0x0f,0x25,0xd8,0xd5,0x0f,0xb7,0xe5,0x8c,0x49,0xd8,0x6d,0x46,0xd4,0x21,0x69,0x55,0xe0,0xaa,0x3d,0x40,0xe1, + 0x04,0x6e,0x82,0x35,0x55,0x45,0x29,0x14,0x09,0x91,0x82,0xc6,0xb2,0xc1,0xd6,0xf0,0xb5,0xd2,0x8d,0x50,0xcc,0xd0,0x05,0xaf,0x2c,0xe1,0xbb,0xa5,0x41,0xaa,0x40,0xca,0xff,0xff,0xff,0xff,0xfe,0xf9,0xfb,0x6d,0x2a,0x5a,0x98,0xc1,0xf0,0xda,0x27,0x2a,0xf0,0x48,0x1a,0x73,0xb6,0x27,0x92,0xb9,0x2b,0xde,0x96,0xaa,0x1e,0x55,0xc2,0xbb,0x4e, + 0x04,0x00,0x00,0x00,0x01,0x3f,0xd2,0x22,0x48,0xd6,0x4d,0x95,0xf7,0x3c,0x29,0xb4,0x8a,0xb4,0x86,0x31,0x85,0x0b,0xe5,0x03,0xfd,0x00,0xf8,0x46,0x8b,0x5f,0x0f,0x70,0xe0,0xf6,0xee,0x7a,0xa4,0x3b,0xc2,0xc6,0xfd,0x25,0xb1,0xd8,0x26,0x92,0x41,0xcb,0xdd,0x9d,0xbb,0x0d,0xac,0x96,0xdc,0x96,0x23,0x1f,0x43,0x07,0x05,0xf8,0x38,0x71,0x7d, + 0x04,0x25,0xaf,0xd6,0x89,0xac,0xab,0xae,0xd6,0x7c,0x1f,0x29,0x6d,0xe5,0x94,0x06,0xf8,0xc5,0x50,0xf5,0x71,0x46,0xa0,0xb4,0xec,0x2c,0x97,0x87,0x6d,0xff,0xff,0xff,0xff,0xfa,0x46,0xa7,0x6e,0x52,0x03,0x22,0xdf,0xbc,0x49,0x1e,0xc4,0xf0,0xcc,0x19,0x74,0x20,0xfc,0x4e,0xa5,0x88,0x3d,0x8f,0x6d,0xd5,0x3c,0x35,0x4b,0xc4,0xf6,0x7c,0x35, + 0x04,0xd1,0x2e,0x6c,0x66,0xb6,0x77,0x34,0xc3,0xc8,0x4d,0x26,0x01,0xcf,0x5d,0x35,0xdc,0x09,0x7e,0x27,0x63,0x7f,0x0a,0xca,0x4a,0x4f,0xdb,0x74,0xb6,0xaa,0xdd,0x3b,0xb9,0x3f,0x5b,0xdf,0xf8,0x8b,0xd5,0x73,0x6d,0xf8,0x98,0xe6,0x99,0x00,0x6e,0xd7,0x50,0xf1,0x1c,0xf0,0x7c,0x58,0x66,0xcd,0x7a,0xd7,0x0c,0x71,0x21,0xff,0xff,0xff,0xff, + 0x04,0x6d,0x4a,0x7f,0x60,0xd4,0x77,0x4a,0x4f,0x0a,0xa8,0xbb,0xde,0xdb,0x95,0x3c,0x7e,0xea,0x79,0x09,0x40,0x7e,0x31,0x64,0x75,0x56,0x64,0xbc,0x28,0x00,0x00,0x00,0x00,0xe6,0x59,0xd3,0x4e,0x4d,0xf3,0x8d,0x9e,0x8c,0x9e,0xaa,0xdf,0xba,0x36,0x61,0x2c,0x76,0x91,0x95,0xbe,0x86,0xc7,0x7a,0xac,0x3f,0x36,0xe7,0x8b,0x53,0x86,0x80,0xfb}; + +static const unsigned char wycheproof_ecdsa_signatures[] = { 0x30,0x46,0x02,0x21,0x00,0x81,0x3e,0xf7,0x9c,0xce,0xfa,0x9a,0x56,0xf7,0xba,0x80,0x5f,0x0e,0x47,0x85,0x84,0xfe,0x5f,0x0d,0xd5,0xf5,0x67,0xbc,0x09,0xb5,0x12,0x3c,0xcb,0xc9,0x83,0x23,0x65,0x02,0x21,0x00,0x90,0x0e,0x75,0xad,0x23,0x3f,0xcc,0x90,0x85,0x09,0xdb,0xff,0x59,0x22,0x64,0x7d,0xb3,0x7c,0x21,0xf4,0xaf,0xd3,0x20,0x3a,0xe8,0xdc,0x4a,0xe7,0x79,0x4b,0x0f,0x87, + 0x30,0x45,0x02,0x21,0x00,0x81,0x3e,0xf7,0x9c,0xce,0xfa,0x9a,0x56,0xf7,0xba,0x80,0x5f,0x0e,0x47,0x85,0x84,0xfe,0x5f,0x0d,0xd5,0xf5,0x67,0xbc,0x09,0xb5,0x12,0x3c,0xcb,0xc9,0x83,0x23,0x65,0x02,0x20,0x6f,0xf1,0x8a,0x52,0xdc,0xc0,0x33,0x6f,0x7a,0xf6,0x24,0x00,0xa6,0xdd,0x9b,0x81,0x07,0x32,0xba,0xf1,0xff,0x75,0x80,0x00,0xd6,0xf6,0x13,0xa5,0x56,0xeb,0x31,0xba, + 0x30,0x81,0x45,0x02,0x21,0x00,0x81,0x3e,0xf7,0x9c,0xce,0xfa,0x9a,0x56,0xf7,0xba,0x80,0x5f,0x0e,0x47,0x85,0x84,0xfe,0x5f,0x0d,0xd5,0xf5,0x67,0xbc,0x09,0xb5,0x12,0x3c,0xcb,0xc9,0x83,0x23,0x65,0x02,0x20,0x6f,0xf1,0x8a,0x52,0xdc,0xc0,0x33,0x6f,0x7a,0xf6,0x24,0x00,0xa6,0xdd,0x9b,0x81,0x07,0x32,0xba,0xf1,0xff,0x75,0x80,0x00,0xd6,0xf6,0x13,0xa5,0x56,0xeb,0x31,0xba, + 0x30,0x82,0x00,0x45,0x02,0x21,0x00,0x81,0x3e,0xf7,0x9c,0xce,0xfa,0x9a,0x56,0xf7,0xba,0x80,0x5f,0x0e,0x47,0x85,0x84,0xfe,0x5f,0x0d,0xd5,0xf5,0x67,0xbc,0x09,0xb5,0x12,0x3c,0xcb,0xc9,0x83,0x23,0x65,0x02,0x20,0x6f,0xf1,0x8a,0x52,0xdc,0xc0,0x33,0x6f,0x7a,0xf6,0x24,0x00,0xa6,0xdd,0x9b,0x81,0x07,0x32,0xba,0xf1,0xff,0x75,0x80,0x00,0xd6,0xf6,0x13,0xa5,0x56,0xeb,0x31,0xba, + 0x30,0x46,0x02,0x21,0x00,0x81,0x3e,0xf7,0x9c,0xce,0xfa,0x9a,0x56,0xf7,0xba,0x80,0x5f,0x0e,0x47,0x85,0x84,0xfe,0x5f,0x0d,0xd5,0xf5,0x67,0xbc,0x09,0xb5,0x12,0x3c,0xcb,0xc9,0x83,0x23,0x65,0x02,0x20,0x6f,0xf1,0x8a,0x52,0xdc,0xc0,0x33,0x6f,0x7a,0xf6,0x24,0x00,0xa6,0xdd,0x9b,0x81,0x07,0x32,0xba,0xf1,0xff,0x75,0x80,0x00,0xd6,0xf6,0x13,0xa5,0x56,0xeb,0x31,0xba, + 0x30,0x44,0x02,0x21,0x00,0x81,0x3e,0xf7,0x9c,0xce,0xfa,0x9a,0x56,0xf7,0xba,0x80,0x5f,0x0e,0x47,0x85,0x84,0xfe,0x5f,0x0d,0xd5,0xf5,0x67,0xbc,0x09,0xb5,0x12,0x3c,0xcb,0xc9,0x83,0x23,0x65,0x02,0x20,0x6f,0xf1,0x8a,0x52,0xdc,0xc0,0x33,0x6f,0x7a,0xf6,0x24,0x00,0xa6,0xdd,0x9b,0x81,0x07,0x32,0xba,0xf1,0xff,0x75,0x80,0x00,0xd6,0xf6,0x13,0xa5,0x56,0xeb,0x31,0xba, + 0x30,0x85,0x01,0x00,0x00,0x00,0x45,0x02,0x21,0x00,0x81,0x3e,0xf7,0x9c,0xce,0xfa,0x9a,0x56,0xf7,0xba,0x80,0x5f,0x0e,0x47,0x85,0x84,0xfe,0x5f,0x0d,0xd5,0xf5,0x67,0xbc,0x09,0xb5,0x12,0x3c,0xcb,0xc9,0x83,0x23,0x65,0x02,0x20,0x6f,0xf1,0x8a,0x52,0xdc,0xc0,0x33,0x6f,0x7a,0xf6,0x24,0x00,0xa6,0xdd,0x9b,0x81,0x07,0x32,0xba,0xf1,0xff,0x75,0x80,0x00,0xd6,0xf6,0x13,0xa5,0x56,0xeb,0x31,0xba, + 0x30,0x89,0x01,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x45,0x02,0x21,0x00,0x81,0x3e,0xf7,0x9c,0xce,0xfa,0x9a,0x56,0xf7,0xba,0x80,0x5f,0x0e,0x47,0x85,0x84,0xfe,0x5f,0x0d,0xd5,0xf5,0x67,0xbc,0x09,0xb5,0x12,0x3c,0xcb,0xc9,0x83,0x23,0x65,0x02,0x20,0x6f,0xf1,0x8a,0x52,0xdc,0xc0,0x33,0x6f,0x7a,0xf6,0x24,0x00,0xa6,0xdd,0x9b,0x81,0x07,0x32,0xba,0xf1,0xff,0x75,0x80,0x00,0xd6,0xf6,0x13,0xa5,0x56,0xeb,0x31,0xba, + 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0x30,0x45,0x02,0x21,0x00,0xb6,0x15,0x69,0x8c,0x35,0x8b,0x35,0x92,0x0d,0xd8,0x83,0xec,0xa6,0x25,0xa6,0xc5,0xf7,0x56,0x39,0x70,0xcd,0xfc,0x37,0x8f,0x8f,0xe0,0xce,0xe1,0x70,0x92,0x14,0x4c,0x02,0x20,0x25,0xf4,0x7b,0x32,0x6b,0x5b,0xe1,0xfb,0x61,0x0b,0x88,0x51,0x53,0xea,0x84,0xd4,0x1e,0xb4,0x71,0x6b,0xe6,0x6a,0x99,0x4e,0x87,0x79,0x98,0x9d,0xf1,0xc8,0x63,0xd4, + 0x30,0x45,0x02,0x21,0x00,0x87,0xcf,0x8c,0x0e,0xb8,0x2d,0x44,0xf6,0x9c,0x60,0xa2,0xff,0x54,0x57,0xd3,0xaa,0xa3,0x22,0xe7,0xec,0x61,0xae,0x5a,0xec,0xfd,0x67,0x8a,0xe1,0xc1,0x93,0x2b,0x0e,0x02,0x20,0x3a,0xdd,0x3b,0x11,0x58,0x15,0x04,0x7d,0x6e,0xb3,0x40,0xa3,0xe0,0x08,0x98,0x9e,0xaa,0x0f,0x87,0x08,0xd1,0x79,0x48,0x14,0x72,0x90,0x94,0xd0,0x8d,0x24,0x60,0xd3, + 0x30,0x44,0x02,0x20,0x62,0xf4,0x8e,0xf7,0x1a,0xce,0x27,0xbf,0x5a,0x01,0x83,0x4d,0xe1,0xf7,0xe3,0xf9,0x48,0xb9,0xdc,0xe1,0xca,0x1e,0x91,0x1d,0x5e,0x13,0xd3,0xb1,0x04,0x47,0x1d,0x82,0x02,0x20,0x5e,0xa8,0xf3,0x3f,0x0c,0x77,0x89,0x72,0xc4,0x58,0x20,0x80,0xde,0xda,0x9b,0x34,0x18,0x57,0xdd,0x64,0x51,0x4f,0x08,0x49,0xa0,0x5f,0x69,0x64,0xc2,0xe3,0x40,0x22, + 0x30,0x45,0x02,0x21,0x00,0xf6,0xb0,0xe2,0xf6,0xfe,0x02,0x0c,0xf7,0xc0,0xc2,0x01,0x37,0x43,0x43,0x44,0xed,0x7a,0xdd,0x6c,0x4b,0xe5,0x18,0x61,0xe2,0xd1,0x4c,0xbd,0xa4,0x72,0xa6,0xff,0xb4,0x02,0x20,0x64,0x16,0xc8,0xdd,0x3e,0x5c,0x52,0x82,0xb3,0x06,0xe8,0xdc,0x8f,0xf3,0x4a,0xb6,0x4c,0xc9,0x95,0x49,0x23,0x2d,0x67,0x8d,0x71,0x44,0x02,0xeb,0x6c,0xa7,0xaa,0x0f, + 0x30,0x45,0x02,0x21,0x00,0xdb,0x09,0xd8,0x46,0x0f,0x05,0xef,0xf2,0x3b,0xc7,0xe4,0x36,0xb6,0x7d,0xa5,0x63,0xfa,0x4b,0x4e,0xdb,0x58,0xac,0x24,0xce,0x20,0x1f,0xa8,0xa3,0x58,0x12,0x50,0x57,0x02,0x20,0x46,0xda,0x11,0x67,0x54,0x60,0x29,0x40,0xc8,0x99,0x9c,0x8d,0x66,0x5f,0x78,0x6c,0x50,0xf5,0x77,0x2c,0x0a,0x3c,0xdb,0xda,0x07,0x5e,0x77,0xea,0xbc,0x64,0xdf,0x16, + 0x30,0x44,0x02,0x20,0x59,0x2c,0x41,0xe1,0x65,0x17,0xf1,0x2f,0xca,0xbd,0x98,0x26,0x76,0x74,0xf9,0x74,0xb5,0x88,0xe9,0xf3,0x5d,0x35,0x40,0x6c,0x1a,0x7b,0xb2,0xed,0x1d,0x19,0xb7,0xb8,0x02,0x20,0x3e,0x65,0xa0,0x6b,0xd9,0xf8,0x3c,0xaa,0xeb,0x7b,0x00,0xf2,0x36,0x8d,0x7e,0x0d,0xec,0xe6,0xb1,0x22,0x21,0x26,0x9a,0x9b,0x5b,0x76,0x51,0x98,0xf8,0x40,0xa3,0xa1, + 0x30,0x45,0x02,0x21,0x00,0xbe,0x0d,0x70,0x88,0x7d,0x5e,0x40,0x82,0x1a,0x61,0xb6,0x80,0x47,0xde,0x4e,0xa0,0x3d,0xeb,0xfd,0xf5,0x1c,0xdf,0x4d,0x4b,0x19,0x55,0x58,0xb9,0x59,0xa0,0x32,0xb2,0x02,0x20,0x7d,0x99,0x4b,0x2d,0x8f,0x1d,0xbb,0xeb,0x13,0x53,0x4e,0xb3,0xf6,0xe5,0xdc,0xcd,0x85,0xf5,0xc4,0x13,0x3c,0x27,0xd9,0xe6,0x42,0x71,0xb1,0x82,0x6c,0xe1,0xf6,0x7d, + 0x30,0x45,0x02,0x21,0x00,0xfa,0xe9,0x2d,0xfc,0xb2,0xee,0x39,0x2d,0x27,0x0a,0xf3,0xa5,0x73,0x9f,0xaa,0x26,0xd4,0xf9,0x7b,0xfd,0x39,0xed,0x3c,0xbe,0xe4,0xd2,0x9e,0x26,0xaf,0x3b,0x20,0x6a,0x02,0x20,0x6c,0x9b,0xa3,0x7f,0x9f,0xaa,0x6a,0x1f,0xd3,0xf6,0x5f,0x23,0xb4,0xe8,0x53,0xd4,0x69,0x2a,0x72,0x74,0x24,0x0a,0x12,0xdb,0x7b,0xa3,0x88,0x48,0x30,0x63,0x0d,0x16, + 0x30,0x44,0x02,0x20,0x17,0x6a,0x25,0x57,0x56,0x6f,0xfa,0x51,0x8b,0x11,0x22,0x66,0x94,0xeb,0x98,0x02,0xed,0x20,0x98,0xbf,0xe2,0x78,0xe5,0x57,0x0f,0xe1,0xd5,0xd7,0xaf,0x18,0xa9,0x43,0x02,0x20,0x12,0x91,0xdf,0x6a,0x0e,0xd5,0xfc,0x0d,0x15,0x09,0x8e,0x70,0xbc,0xf1,0x3a,0x00,0x92,0x84,0xdf,0xd0,0x68,0x9d,0x3b,0xb4,0xbe,0x6c,0xee,0xb9,0xbe,0x14,0x87,0xc4, + 0x30,0x44,0x02,0x20,0x60,0xbe,0x20,0xc3,0xdb,0xc1,0x62,0xdd,0x34,0xd2,0x67,0x80,0x62,0x1c,0x10,0x4b,0xbe,0x5d,0xac,0xe6,0x30,0x17,0x1b,0x2d,0xae,0xf0,0xd8,0x26,0x40,0x9e,0xe5,0xc2,0x02,0x20,0x42,0x7f,0x7e,0x4d,0x88,0x9d,0x54,0x91,0x70,0xbd,0xa6,0xa9,0x40,0x9f,0xb1,0xcb,0x8b,0x0e,0x76,0x3d,0x13,0xee,0xa7,0xbd,0x97,0xf6,0x4c,0xf4,0x1d,0xc6,0xe4,0x97, + 0x30,0x45,0x02,0x21,0x00,0xed,0xf0,0x3c,0xf6,0x3f,0x65,0x88,0x83,0x28,0x9a,0x1a,0x59,0x3d,0x10,0x07,0x89,0x5b,0x9f,0x23,0x6d,0x27,0xc9,0xc1,0xf1,0x31,0x30,0x89,0xaa,0xed,0x6b,0x16,0xae,0x02,0x20,0x1a,0x4d,0xd6,0xfc,0x08,0x14,0xdc,0x52,0x3d,0x1f,0xef,0xa8,0x1c,0x64,0xfb,0xf5,0xe6,0x18,0xe6,0x51,0xe7,0x09,0x6f,0xcc,0xad,0xbb,0x94,0xcd,0x48,0xe5,0xe0,0xcd}; + +static const wycheproof_ecdsa_testvector testvectors[SECP256K1_ECDSA_WYCHEPROOF_NUMBER_TESTVECTORS] = { + /* tcId: 1. Signature malleability */ + {0, 0, 6, 0, 72, 0 }, + /* tcId: 2. valid */ + {0, 0, 6, 72, 71, 1 }, + /* tcId: 3. length of sequence [r, s] uses long form encoding */ + {0, 0, 6, 143, 72, 0 }, + /* tcId: 4. length of sequence [r, s] contains a leading 0 */ + {0, 0, 6, 215, 73, 0 }, + /* tcId: 5. length of sequence [r, s] uses 70 instead of 69 */ + {0, 0, 6, 288, 71, 0 }, + /* tcId: 6. length of sequence [r, s] uses 68 instead of 69 */ + {0, 0, 6, 359, 71, 0 }, + /* tcId: 7. uint32 overflow in length of sequence [r, s] */ + {0, 0, 6, 430, 76, 0 }, + /* tcId: 8. uint64 overflow in length of sequence [r, s] */ + {0, 0, 6, 506, 80, 0 }, + /* tcId: 9. length of sequence [r, s] = 2**31 - 1 */ + {0, 0, 6, 586, 75, 0 }, + /* tcId: 10. length of sequence [r, s] = 2**31 */ + {0, 0, 6, 661, 75, 0 }, + /* tcId: 11. length of sequence [r, s] = 2**32 - 1 */ + {0, 0, 6, 736, 75, 0 }, + /* tcId: 12. length of sequence [r, s] = 2**40 - 1 */ + {0, 0, 6, 811, 76, 0 }, + /* tcId: 13. length of sequence [r, s] = 2**64 - 1 */ + {0, 0, 6, 887, 79, 0 }, + /* tcId: 14. incorrect length of sequence [r, s] */ + {0, 0, 6, 966, 71, 0 }, + /* tcId: 15. replaced sequence [r, s] by an indefinite length tag without termination */ + {0, 0, 6, 1037, 71, 0 }, + /* tcId: 16. removing sequence [r, s] */ + {0, 0, 6, 1108, 0, 0 }, + /* tcId: 17. lonely sequence tag */ + {0, 0, 6, 1108, 1, 0 }, + /* tcId: 18. appending 0's to sequence [r, s] */ + {0, 0, 6, 1109, 73, 0 }, + /* tcId: 19. prepending 0's to sequence [r, s] */ + {0, 0, 6, 1182, 73, 0 }, + /* tcId: 20. appending unused 0's to sequence [r, s] */ + {0, 0, 6, 1255, 73, 0 }, + /* tcId: 21. appending null value to sequence [r, s] */ + {0, 0, 6, 1328, 73, 0 }, + /* tcId: 22. prepending garbage to sequence [r, s] */ + {0, 0, 6, 1401, 76, 0 }, + /* tcId: 23. prepending garbage to sequence [r, s] */ + {0, 0, 6, 1477, 75, 0 }, + /* tcId: 24. appending garbage to sequence [r, s] */ + {0, 0, 6, 1552, 79, 0 }, + /* tcId: 25. including undefined tags */ + {0, 0, 6, 1631, 79, 0 }, + /* tcId: 26. including undefined tags */ + {0, 0, 6, 1710, 79, 0 }, + /* tcId: 27. including undefined tags */ + {0, 0, 6, 1789, 79, 0 }, + /* tcId: 28. truncated length of sequence [r, s] */ + {0, 0, 6, 1868, 2, 0 }, + /* tcId: 29. including undefined tags to sequence [r, s] */ + {0, 0, 6, 1870, 77, 0 }, + /* tcId: 30. using composition with indefinite length for sequence [r, s] */ + {0, 0, 6, 1947, 75, 0 }, + /* tcId: 31. using composition with wrong tag for sequence [r, s] */ + {0, 0, 6, 2022, 75, 0 }, + /* tcId: 32. Replacing sequence [r, s] with NULL */ + {0, 0, 6, 2097, 2, 0 }, + /* tcId: 33. changing tag value of sequence [r, s] */ + {0, 0, 6, 2099, 71, 0 }, + /* tcId: 34. changing tag value of sequence [r, s] */ + {0, 0, 6, 2170, 71, 0 }, + /* tcId: 35. changing tag value of sequence [r, s] */ + {0, 0, 6, 2241, 71, 0 }, + /* tcId: 36. changing tag value of sequence [r, s] */ + {0, 0, 6, 2312, 71, 0 }, + /* tcId: 37. changing tag value of sequence [r, s] */ + {0, 0, 6, 2383, 71, 0 }, + /* tcId: 38. dropping value of sequence [r, s] */ + {0, 0, 6, 2454, 2, 0 }, + /* tcId: 39. using composition for sequence [r, s] */ + {0, 0, 6, 2456, 75, 0 }, + /* tcId: 40. truncated sequence [r, s] */ + {0, 0, 6, 2531, 70, 0 }, + /* tcId: 41. truncated sequence [r, s] */ + {0, 0, 6, 2601, 70, 0 }, + /* tcId: 42. sequence [r, s] of size 4166 to check for overflows */ + {0, 0, 6, 2671, 4170, 0 }, + /* tcId: 43. indefinite length */ + {0, 0, 6, 6841, 73, 0 }, + /* tcId: 44. indefinite length with truncated delimiter */ + {0, 0, 6, 6914, 72, 0 }, + /* tcId: 45. indefinite length with additional element */ + {0, 0, 6, 6986, 75, 0 }, + /* tcId: 46. indefinite length with truncated element */ + {0, 0, 6, 7061, 77, 0 }, + /* tcId: 47. indefinite length with garbage */ + {0, 0, 6, 7138, 77, 0 }, + /* tcId: 48. indefinite length with nonempty EOC */ + {0, 0, 6, 7215, 75, 0 }, + /* tcId: 49. prepend empty sequence */ + {0, 0, 6, 7290, 73, 0 }, + /* tcId: 50. append empty sequence */ + {0, 0, 6, 7363, 73, 0 }, + /* tcId: 51. append zero */ + {0, 0, 6, 7436, 74, 0 }, + /* tcId: 52. append garbage with high tag number */ + {0, 0, 6, 7510, 74, 0 }, + /* tcId: 53. append null with explicit tag */ + {0, 0, 6, 7584, 75, 0 }, + /* tcId: 54. append null with implicit tag */ + {0, 0, 6, 7659, 73, 0 }, + /* tcId: 55. sequence of sequence */ + {0, 0, 6, 7732, 73, 0 }, + /* tcId: 56. truncated sequence: removed last 1 elements */ + {0, 0, 6, 7805, 37, 0 }, + /* tcId: 57. repeating element in sequence */ + {0, 0, 6, 7842, 105, 0 }, + /* tcId: 58. flipped bit 0 in r */ + {0, 0, 6, 7947, 69, 0 }, + /* tcId: 59. flipped bit 32 in r */ + {0, 0, 6, 8016, 69, 0 }, + /* tcId: 60. flipped bit 48 in r */ + {0, 0, 6, 8085, 69, 0 }, + /* tcId: 61. flipped bit 64 in r */ + {0, 0, 6, 8154, 69, 0 }, + /* tcId: 62. length of r uses long form encoding */ + {0, 0, 6, 8223, 72, 0 }, + /* tcId: 63. length of r contains a leading 0 */ + {0, 0, 6, 8295, 73, 0 }, + /* tcId: 64. length of r uses 34 instead of 33 */ + {0, 0, 6, 8368, 71, 0 }, + /* tcId: 65. length of r uses 32 instead of 33 */ + {0, 0, 6, 8439, 71, 0 }, + /* tcId: 66. uint32 overflow in length of r */ + {0, 0, 6, 8510, 76, 0 }, + /* tcId: 67. uint64 overflow in length of r */ + {0, 0, 6, 8586, 80, 0 }, + /* tcId: 68. length of r = 2**31 - 1 */ + {0, 0, 6, 8666, 75, 0 }, + /* tcId: 69. length of r = 2**31 */ + {0, 0, 6, 8741, 75, 0 }, + /* tcId: 70. length of r = 2**32 - 1 */ + {0, 0, 6, 8816, 75, 0 }, + /* tcId: 71. length of r = 2**40 - 1 */ + {0, 0, 6, 8891, 76, 0 }, + /* tcId: 72. length of r = 2**64 - 1 */ + {0, 0, 6, 8967, 79, 0 }, + /* tcId: 73. incorrect length of r */ + {0, 0, 6, 9046, 71, 0 }, + /* tcId: 74. replaced r by an indefinite length tag without termination */ + {0, 0, 6, 9117, 71, 0 }, + /* tcId: 75. removing r */ + {0, 0, 6, 9188, 36, 0 }, + /* tcId: 76. lonely integer tag */ + {0, 0, 6, 9224, 37, 0 }, + /* tcId: 77. lonely integer tag */ + {0, 0, 6, 9261, 38, 0 }, + /* tcId: 78. appending 0's to r */ + {0, 0, 6, 9299, 73, 0 }, + /* tcId: 79. prepending 0's to r */ + {0, 0, 6, 9372, 73, 0 }, + /* tcId: 80. appending unused 0's to r */ + {0, 0, 6, 9445, 73, 0 }, + /* tcId: 81. appending null value to r */ + {0, 0, 6, 9518, 73, 0 }, + /* tcId: 82. prepending garbage to r */ + {0, 0, 6, 9591, 76, 0 }, + /* tcId: 83. prepending garbage to r */ + {0, 0, 6, 9667, 75, 0 }, + /* tcId: 84. appending garbage to r */ + {0, 0, 6, 9742, 79, 0 }, + /* tcId: 85. truncated length of r */ + {0, 0, 6, 9821, 38, 0 }, + /* tcId: 86. including undefined tags to r */ + {0, 0, 6, 9859, 77, 0 }, + /* tcId: 87. using composition with indefinite length for r */ + {0, 0, 6, 9936, 75, 0 }, + /* tcId: 88. using composition with wrong tag for r */ + {0, 0, 6, 10011, 75, 0 }, + /* tcId: 89. Replacing r with NULL */ + {0, 0, 6, 10086, 38, 0 }, + /* tcId: 90. changing tag value of r */ + {0, 0, 6, 10124, 71, 0 }, + /* tcId: 91. changing tag value of r */ + {0, 0, 6, 10195, 71, 0 }, + /* tcId: 92. changing tag value of r */ + {0, 0, 6, 10266, 71, 0 }, + /* tcId: 93. changing tag value of r */ + {0, 0, 6, 10337, 71, 0 }, + /* tcId: 94. changing tag value of r */ + {0, 0, 6, 10408, 71, 0 }, + /* tcId: 95. dropping value of r */ + {0, 0, 6, 10479, 38, 0 }, + /* tcId: 96. using composition for r */ + {0, 0, 6, 10517, 75, 0 }, + /* tcId: 97. modifying first byte of r */ + {0, 0, 6, 10592, 71, 0 }, + /* tcId: 98. modifying last byte of r */ + {0, 0, 6, 10663, 71, 0 }, + /* tcId: 99. truncated r */ + {0, 0, 6, 10734, 70, 0 }, + /* tcId: 100. truncated r */ + {0, 0, 6, 10804, 70, 0 }, + /* tcId: 101. r of size 4130 to check for overflows */ + {0, 0, 6, 10874, 4172, 0 }, + /* tcId: 102. leading ff in r */ + {0, 0, 6, 15046, 72, 0 }, + /* tcId: 103. replaced r by infinity */ + {0, 0, 6, 15118, 39, 0 }, + /* tcId: 104. replacing r with zero */ + {0, 0, 6, 15157, 39, 0 }, + /* tcId: 105. flipped bit 0 in s */ + {0, 0, 6, 15196, 69, 0 }, + /* tcId: 106. flipped bit 32 in s */ + {0, 0, 6, 15265, 69, 0 }, + /* tcId: 107. flipped bit 48 in s */ + {0, 0, 6, 15334, 69, 0 }, + /* tcId: 108. flipped bit 64 in s */ + {0, 0, 6, 15403, 69, 0 }, + /* tcId: 109. length of s uses long form encoding */ + {0, 0, 6, 15472, 72, 0 }, + /* tcId: 110. length of s contains a leading 0 */ + {0, 0, 6, 15544, 73, 0 }, + /* tcId: 111. length of s uses 33 instead of 32 */ + {0, 0, 6, 15617, 71, 0 }, + /* tcId: 112. length of s uses 31 instead of 32 */ + {0, 0, 6, 15688, 71, 0 }, + /* tcId: 113. uint32 overflow in length of s */ + {0, 0, 6, 15759, 76, 0 }, + /* tcId: 114. uint64 overflow in length of s */ + {0, 0, 6, 15835, 80, 0 }, + /* tcId: 115. length of s = 2**31 - 1 */ + {0, 0, 6, 15915, 75, 0 }, + /* tcId: 116. length of s = 2**31 */ + {0, 0, 6, 15990, 75, 0 }, + /* tcId: 117. length of s = 2**32 - 1 */ + {0, 0, 6, 16065, 75, 0 }, + /* tcId: 118. length of s = 2**40 - 1 */ + {0, 0, 6, 16140, 76, 0 }, + /* tcId: 119. length of s = 2**64 - 1 */ + {0, 0, 6, 16216, 79, 0 }, + /* tcId: 120. incorrect length of s */ + {0, 0, 6, 16295, 71, 0 }, + /* tcId: 121. replaced s by an indefinite length tag without termination */ + {0, 0, 6, 16366, 71, 0 }, + /* tcId: 122. appending 0's to s */ + {0, 0, 6, 16437, 73, 0 }, + /* tcId: 123. prepending 0's to s */ + {0, 0, 6, 16510, 73, 0 }, + /* tcId: 124. appending null value to s */ + {0, 0, 6, 16583, 73, 0 }, + /* tcId: 125. prepending garbage to s */ + {0, 0, 6, 16656, 76, 0 }, + /* tcId: 126. prepending garbage to s */ + {0, 0, 6, 16732, 75, 0 }, + /* tcId: 127. appending garbage to s */ + {0, 0, 6, 16807, 79, 0 }, + /* tcId: 128. truncated length of s */ + {0, 0, 6, 16886, 39, 0 }, + /* tcId: 129. including undefined tags to s */ + {0, 0, 6, 16925, 77, 0 }, + /* tcId: 130. using composition with indefinite length for s */ + {0, 0, 6, 17002, 75, 0 }, + /* tcId: 131. using composition with wrong tag for s */ + {0, 0, 6, 17077, 75, 0 }, + /* tcId: 132. Replacing s with NULL */ + {0, 0, 6, 17152, 39, 0 }, + /* tcId: 133. changing tag value of s */ + {0, 0, 6, 17191, 71, 0 }, + /* tcId: 134. changing tag value of s */ + {0, 0, 6, 17262, 71, 0 }, + /* tcId: 135. changing tag value of s */ + {0, 0, 6, 17333, 71, 0 }, + /* tcId: 136. changing tag value of s */ + {0, 0, 6, 17404, 71, 0 }, + /* tcId: 137. changing tag value of s */ + {0, 0, 6, 17475, 71, 0 }, + /* tcId: 138. dropping value of s */ + {0, 0, 6, 17546, 39, 0 }, + /* tcId: 139. using composition for s */ + {0, 0, 6, 17585, 75, 0 }, + /* tcId: 140. modifying first byte of s */ + {0, 0, 6, 17660, 71, 0 }, + /* tcId: 141. modifying last byte of s */ + {0, 0, 6, 17731, 71, 0 }, + /* tcId: 142. truncated s */ + {0, 0, 6, 17802, 70, 0 }, + /* tcId: 143. truncated s */ + {0, 0, 6, 17872, 70, 0 }, + /* tcId: 144. s of size 4129 to check for overflows */ + {0, 0, 6, 17942, 4172, 0 }, + /* tcId: 145. leading ff in s */ + {0, 0, 6, 22114, 72, 0 }, + /* tcId: 146. replaced s by infinity */ + {0, 0, 6, 22186, 40, 0 }, + /* tcId: 147. replacing s with zero */ + {0, 0, 6, 22226, 40, 0 }, + /* tcId: 148. replaced r by r + n */ + {0, 0, 6, 22266, 71, 0 }, + /* tcId: 149. replaced r by r - n */ + {0, 0, 6, 22337, 70, 0 }, + /* tcId: 150. replaced r by r + 256 * n */ + {0, 0, 6, 22407, 72, 0 }, + /* tcId: 151. replaced r by -r */ + {0, 0, 6, 22479, 71, 0 }, + /* tcId: 152. replaced r by n - r */ + {0, 0, 6, 22550, 70, 0 }, + /* tcId: 153. replaced r by -n - r */ + {0, 0, 6, 22620, 71, 0 }, + /* tcId: 154. replaced r by r + 2**256 */ + {0, 0, 6, 22691, 71, 0 }, + /* tcId: 155. replaced r by r + 2**320 */ + {0, 0, 6, 22762, 79, 0 }, + /* tcId: 156. replaced s by s + n */ + {0, 0, 6, 22841, 71, 0 }, + /* tcId: 157. replaced s by s - n */ + {0, 0, 6, 22912, 71, 0 }, + /* tcId: 158. replaced s by s + 256 * n */ + {0, 0, 6, 22983, 72, 0 }, + /* tcId: 159. replaced s by -s */ + {0, 0, 6, 23055, 70, 0 }, + /* tcId: 160. replaced s by -n - s */ + {0, 0, 6, 23125, 71, 0 }, + /* tcId: 161. replaced s by s + 2**256 */ + {0, 0, 6, 23196, 71, 0 }, + /* tcId: 162. replaced s by s - 2**256 */ + {0, 0, 6, 23267, 71, 0 }, + /* tcId: 163. replaced s by s + 2**320 */ + {0, 0, 6, 23338, 79, 0 }, + /* tcId: 164. Signature with special case values r=0 and s=0 */ + {0, 0, 6, 23417, 8, 0 }, + /* tcId: 165. Signature with special case values r=0 and s=1 */ + {0, 0, 6, 23425, 8, 0 }, + /* tcId: 166. Signature with special case values r=0 and s=-1 */ + {0, 0, 6, 23433, 8, 0 }, + /* tcId: 167. Signature with special case values r=0 and s=n */ + {0, 0, 6, 23441, 40, 0 }, + /* tcId: 168. Signature with special case values r=0 and s=n - 1 */ + {0, 0, 6, 23481, 40, 0 }, + /* tcId: 169. Signature with special case values r=0 and s=n + 1 */ + {0, 0, 6, 23521, 40, 0 }, + /* tcId: 170. Signature with special case values r=0 and s=p */ + {0, 0, 6, 23561, 40, 0 }, + /* tcId: 171. Signature with special case values r=0 and s=p + 1 */ + {0, 0, 6, 23601, 40, 0 }, + /* tcId: 172. Signature with special case values r=1 and s=0 */ + {0, 0, 6, 23641, 8, 0 }, + /* tcId: 173. Signature with special case values r=1 and s=1 */ + {0, 0, 6, 23649, 8, 0 }, + /* tcId: 174. Signature with special case values r=1 and s=-1 */ + {0, 0, 6, 23657, 8, 0 }, + /* tcId: 175. Signature with special case values r=1 and s=n */ + {0, 0, 6, 23665, 40, 0 }, + /* tcId: 176. Signature with special case values r=1 and s=n - 1 */ + {0, 0, 6, 23705, 40, 0 }, + /* tcId: 177. Signature with special case values r=1 and s=n + 1 */ + {0, 0, 6, 23745, 40, 0 }, + /* tcId: 178. Signature with special case values r=1 and s=p */ + {0, 0, 6, 23785, 40, 0 }, + /* tcId: 179. Signature with special case values r=1 and s=p + 1 */ + {0, 0, 6, 23825, 40, 0 }, + /* tcId: 180. Signature with special case values r=-1 and s=0 */ + {0, 0, 6, 23865, 8, 0 }, + /* tcId: 181. Signature with special case values r=-1 and s=1 */ + {0, 0, 6, 23873, 8, 0 }, + /* tcId: 182. Signature with special case values r=-1 and s=-1 */ + {0, 0, 6, 23881, 8, 0 }, + /* tcId: 183. Signature with special case values r=-1 and s=n */ + {0, 0, 6, 23889, 40, 0 }, + /* tcId: 184. Signature with special case values r=-1 and s=n - 1 */ + {0, 0, 6, 23929, 40, 0 }, + /* tcId: 185. Signature with special case values r=-1 and s=n + 1 */ + {0, 0, 6, 23969, 40, 0 }, + /* tcId: 186. Signature with special case values r=-1 and s=p */ + {0, 0, 6, 24009, 40, 0 }, + /* tcId: 187. Signature with special case values r=-1 and s=p + 1 */ + {0, 0, 6, 24049, 40, 0 }, + /* tcId: 188. Signature with special case values r=n and s=0 */ + {0, 0, 6, 24089, 40, 0 }, + /* tcId: 189. Signature with special case values r=n and s=1 */ + {0, 0, 6, 24129, 40, 0 }, + /* tcId: 190. Signature with special case values r=n and s=-1 */ + {0, 0, 6, 24169, 40, 0 }, + /* tcId: 191. Signature with special case values r=n and s=n */ + {0, 0, 6, 24209, 72, 0 }, + /* tcId: 192. Signature with special case values r=n and s=n - 1 */ + {0, 0, 6, 24281, 72, 0 }, + /* tcId: 193. Signature with special case values r=n and s=n + 1 */ + {0, 0, 6, 24353, 72, 0 }, + /* tcId: 194. Signature with special case values r=n and s=p */ + {0, 0, 6, 24425, 72, 0 }, + /* tcId: 195. Signature with special case values r=n and s=p + 1 */ + {0, 0, 6, 24497, 72, 0 }, + /* tcId: 196. Signature with special case values r=n - 1 and s=0 */ + {0, 0, 6, 24569, 40, 0 }, + /* tcId: 197. Signature with special case values r=n - 1 and s=1 */ + {0, 0, 6, 24609, 40, 0 }, + /* tcId: 198. Signature with special case values r=n - 1 and s=-1 */ + {0, 0, 6, 24649, 40, 0 }, + /* tcId: 199. Signature with special case values r=n - 1 and s=n */ + {0, 0, 6, 24689, 72, 0 }, + /* tcId: 200. Signature with special case values r=n - 1 and s=n - 1 */ + {0, 0, 6, 24761, 72, 0 }, + /* tcId: 201. Signature with special case values r=n - 1 and s=n + 1 */ + {0, 0, 6, 24833, 72, 0 }, + /* tcId: 202. Signature with special case values r=n - 1 and s=p */ + {0, 0, 6, 24905, 72, 0 }, + /* tcId: 203. Signature with special case values r=n - 1 and s=p + 1 */ + {0, 0, 6, 24977, 72, 0 }, + /* tcId: 204. Signature with special case values r=n + 1 and s=0 */ + {0, 0, 6, 25049, 40, 0 }, + /* tcId: 205. Signature with special case values r=n + 1 and s=1 */ + {0, 0, 6, 25089, 40, 0 }, + /* tcId: 206. Signature with special case values r=n + 1 and s=-1 */ + {0, 0, 6, 25129, 40, 0 }, + /* tcId: 207. Signature with special case values r=n + 1 and s=n */ + {0, 0, 6, 25169, 72, 0 }, + /* tcId: 208. Signature with special case values r=n + 1 and s=n - 1 */ + {0, 0, 6, 25241, 72, 0 }, + /* tcId: 209. Signature with special case values r=n + 1 and s=n + 1 */ + {0, 0, 6, 25313, 72, 0 }, + /* tcId: 210. Signature with special case values r=n + 1 and s=p */ + {0, 0, 6, 25385, 72, 0 }, + /* tcId: 211. Signature with special case values r=n + 1 and s=p + 1 */ + {0, 0, 6, 25457, 72, 0 }, + /* tcId: 212. Signature with special case values r=p and s=0 */ + {0, 0, 6, 25529, 40, 0 }, + /* tcId: 213. Signature with special case values r=p and s=1 */ + {0, 0, 6, 25569, 40, 0 }, + /* tcId: 214. Signature with special case values r=p and s=-1 */ + {0, 0, 6, 25609, 40, 0 }, + /* tcId: 215. Signature with special case values r=p and s=n */ + {0, 0, 6, 25649, 72, 0 }, + /* tcId: 216. Signature with special case values r=p and s=n - 1 */ + {0, 0, 6, 25721, 72, 0 }, + /* tcId: 217. Signature with special case values r=p and s=n + 1 */ + {0, 0, 6, 25793, 72, 0 }, + /* tcId: 218. Signature with special case values r=p and s=p */ + {0, 0, 6, 25865, 72, 0 }, + /* tcId: 219. Signature with special case values r=p and s=p + 1 */ + {0, 0, 6, 25937, 72, 0 }, + /* tcId: 220. Signature with special case values r=p + 1 and s=0 */ + {0, 0, 6, 26009, 40, 0 }, + /* tcId: 221. Signature with special case values r=p + 1 and s=1 */ + {0, 0, 6, 26049, 40, 0 }, + /* tcId: 222. Signature with special case values r=p + 1 and s=-1 */ + {0, 0, 6, 26089, 40, 0 }, + /* tcId: 223. Signature with special case values r=p + 1 and s=n */ + {0, 0, 6, 26129, 72, 0 }, + /* tcId: 224. Signature with special case values r=p + 1 and s=n - 1 */ + {0, 0, 6, 26201, 72, 0 }, + /* tcId: 225. Signature with special case values r=p + 1 and s=n + 1 */ + {0, 0, 6, 26273, 72, 0 }, + /* tcId: 226. Signature with special case values r=p + 1 and s=p */ + {0, 0, 6, 26345, 72, 0 }, + /* tcId: 227. Signature with special case values r=p + 1 and s=p + 1 */ + {0, 0, 6, 26417, 72, 0 }, + /* tcId: 228. Signature encoding contains incorrect types: r=0, s=0.25 */ + {0, 0, 6, 26489, 10, 0 }, + /* tcId: 229. Signature encoding contains incorrect types: r=0, s=nan */ + {0, 0, 6, 26499, 8, 0 }, + /* tcId: 230. Signature encoding contains incorrect types: r=0, s=True */ + {0, 0, 6, 26507, 8, 0 }, + /* tcId: 231. Signature encoding contains incorrect types: r=0, s=False */ + {0, 0, 6, 26515, 8, 0 }, + /* tcId: 232. Signature encoding contains incorrect types: r=0, s=Null */ + {0, 0, 6, 26523, 7, 0 }, + /* tcId: 233. Signature encoding contains incorrect types: r=0, s=empyt UTF-8 string */ + {0, 0, 6, 26530, 7, 0 }, + /* tcId: 234. Signature encoding contains incorrect types: r=0, s="0" */ + {0, 0, 6, 26537, 8, 0 }, + /* tcId: 235. Signature encoding contains incorrect types: r=0, s=empty list */ + {0, 0, 6, 26545, 7, 0 }, + /* tcId: 236. Signature encoding contains incorrect types: r=0, s=list containing 0 */ + {0, 0, 6, 26552, 10, 0 }, + /* tcId: 237. Signature encoding contains incorrect types: r=1, s=0.25 */ + {0, 0, 6, 26562, 10, 0 }, + /* tcId: 238. Signature encoding contains incorrect types: r=1, s=nan */ + {0, 0, 6, 26572, 8, 0 }, + /* tcId: 239. Signature encoding contains incorrect types: r=1, s=True */ + {0, 0, 6, 26580, 8, 0 }, + /* tcId: 240. Signature encoding contains incorrect types: r=1, s=False */ + {0, 0, 6, 26588, 8, 0 }, + /* tcId: 241. Signature encoding contains incorrect types: r=1, s=Null */ + {0, 0, 6, 26596, 7, 0 }, + /* tcId: 242. Signature encoding contains incorrect types: r=1, s=empyt UTF-8 string */ + {0, 0, 6, 26603, 7, 0 }, + /* tcId: 243. Signature encoding contains incorrect types: r=1, s="0" */ + {0, 0, 6, 26610, 8, 0 }, + /* tcId: 244. Signature encoding contains incorrect types: r=1, s=empty list */ + {0, 0, 6, 26618, 7, 0 }, + /* tcId: 245. Signature encoding contains incorrect types: r=1, s=list containing 0 */ + {0, 0, 6, 26625, 10, 0 }, + /* tcId: 246. Signature encoding contains incorrect types: r=-1, s=0.25 */ + {0, 0, 6, 26635, 10, 0 }, + /* tcId: 247. Signature encoding contains incorrect types: r=-1, s=nan */ + {0, 0, 6, 26645, 8, 0 }, + /* tcId: 248. Signature encoding contains incorrect types: r=-1, s=True */ + {0, 0, 6, 26653, 8, 0 }, + /* tcId: 249. Signature encoding contains incorrect types: r=-1, s=False */ + {0, 0, 6, 26661, 8, 0 }, + /* tcId: 250. Signature encoding contains incorrect types: r=-1, s=Null */ + {0, 0, 6, 26669, 7, 0 }, + /* tcId: 251. Signature encoding contains incorrect types: r=-1, s=empyt UTF-8 string */ + {0, 0, 6, 26676, 7, 0 }, + /* tcId: 252. Signature encoding contains incorrect types: r=-1, s="0" */ + {0, 0, 6, 26683, 8, 0 }, + /* tcId: 253. Signature encoding contains incorrect types: r=-1, s=empty list */ + {0, 0, 6, 26691, 7, 0 }, + /* tcId: 254. Signature encoding contains incorrect types: r=-1, s=list containing 0 */ + {0, 0, 6, 26698, 10, 0 }, + /* tcId: 255. Signature encoding contains incorrect types: r=n, s=0.25 */ + {0, 0, 6, 26708, 42, 0 }, + /* tcId: 256. Signature encoding contains incorrect types: r=n, s=nan */ + {0, 0, 6, 26750, 40, 0 }, + /* tcId: 257. Signature encoding contains incorrect types: r=n, s=True */ + {0, 0, 6, 26790, 40, 0 }, + /* tcId: 258. Signature encoding contains incorrect types: r=n, s=False */ + {0, 0, 6, 26830, 40, 0 }, + /* tcId: 259. Signature encoding contains incorrect types: r=n, s=Null */ + {0, 0, 6, 26870, 39, 0 }, + /* tcId: 260. Signature encoding contains incorrect types: r=n, s=empyt UTF-8 string */ + {0, 0, 6, 26909, 39, 0 }, + /* tcId: 261. Signature encoding contains incorrect types: r=n, s="0" */ + {0, 0, 6, 26948, 40, 0 }, + /* tcId: 262. Signature encoding contains incorrect types: r=n, s=empty list */ + {0, 0, 6, 26988, 39, 0 }, + /* tcId: 263. Signature encoding contains incorrect types: r=n, s=list containing 0 */ + {0, 0, 6, 27027, 42, 0 }, + /* tcId: 264. Signature encoding contains incorrect types: r=p, s=0.25 */ + {0, 0, 6, 27069, 42, 0 }, + /* tcId: 265. Signature encoding contains incorrect types: r=p, s=nan */ + {0, 0, 6, 27111, 40, 0 }, + /* tcId: 266. Signature encoding contains incorrect types: r=p, s=True */ + {0, 0, 6, 27151, 40, 0 }, + /* tcId: 267. Signature encoding contains incorrect types: r=p, s=False */ + {0, 0, 6, 27191, 40, 0 }, + /* tcId: 268. Signature encoding contains incorrect types: r=p, s=Null */ + {0, 0, 6, 27231, 39, 0 }, + /* tcId: 269. Signature encoding contains incorrect types: r=p, s=empyt UTF-8 string */ + {0, 0, 6, 27270, 39, 0 }, + /* tcId: 270. Signature encoding contains incorrect types: r=p, s="0" */ + {0, 0, 6, 27309, 40, 0 }, + /* tcId: 271. Signature encoding contains incorrect types: r=p, s=empty list */ + {0, 0, 6, 27349, 39, 0 }, + /* tcId: 272. Signature encoding contains incorrect types: r=p, s=list containing 0 */ + {0, 0, 6, 27388, 42, 0 }, + /* tcId: 273. Signature encoding contains incorrect types: r=0.25, s=0.25 */ + {0, 0, 6, 27430, 12, 0 }, + /* tcId: 274. Signature encoding contains incorrect types: r=nan, s=nan */ + {0, 0, 6, 27442, 8, 0 }, + /* tcId: 275. Signature encoding contains incorrect types: r=True, s=True */ + {0, 0, 6, 27450, 8, 0 }, + /* tcId: 276. Signature encoding contains incorrect types: r=False, s=False */ + {0, 0, 6, 27458, 8, 0 }, + /* tcId: 277. Signature encoding contains incorrect types: r=Null, s=Null */ + {0, 0, 6, 27466, 6, 0 }, + /* tcId: 278. Signature encoding contains incorrect types: r=empyt UTF-8 string, s=empyt UTF-8 string */ + {0, 0, 6, 27472, 6, 0 }, + /* tcId: 279. Signature encoding contains incorrect types: r="0", s="0" */ + {0, 0, 6, 27478, 8, 0 }, + /* tcId: 280. Signature encoding contains incorrect types: r=empty list, s=empty list */ + {0, 0, 6, 27486, 6, 0 }, + /* tcId: 281. Signature encoding contains incorrect types: r=list containing 0, s=list containing 0 */ + {0, 0, 6, 27492, 12, 0 }, + /* tcId: 282. Signature encoding contains incorrect types: r=0.25, s=0 */ + {0, 0, 6, 27504, 10, 0 }, + /* tcId: 283. Signature encoding contains incorrect types: r=nan, s=0 */ + {0, 0, 6, 27514, 8, 0 }, + /* tcId: 284. Signature encoding contains incorrect types: r=True, s=0 */ + {0, 0, 6, 27522, 8, 0 }, + /* tcId: 285. Signature encoding contains incorrect types: r=False, s=0 */ + {0, 0, 6, 27530, 8, 0 }, + /* tcId: 286. Signature encoding contains incorrect types: r=Null, s=0 */ + {0, 0, 6, 27538, 7, 0 }, + /* tcId: 287. Signature encoding contains incorrect types: r=empyt UTF-8 string, s=0 */ + {0, 0, 6, 27545, 7, 0 }, + /* tcId: 288. Signature encoding contains incorrect types: r="0", s=0 */ + {0, 0, 6, 27552, 8, 0 }, + /* tcId: 289. Signature encoding contains incorrect types: r=empty list, s=0 */ + {0, 0, 6, 27560, 7, 0 }, + /* tcId: 290. Signature encoding contains incorrect types: r=list containing 0, s=0 */ + {0, 0, 6, 27567, 10, 0 }, + /* tcId: 291. Edge case for Shamir multiplication */ + {0, 6, 5, 27577, 71, 1 }, + /* tcId: 292. special case hash */ + {0, 11, 9, 27648, 71, 1 }, + /* tcId: 293. special case hash */ + {0, 20, 10, 27719, 70, 1 }, + /* tcId: 294. special case hash */ + {0, 30, 11, 27789, 71, 1 }, + /* tcId: 295. special case hash */ + {0, 41, 10, 27860, 71, 1 }, + /* tcId: 296. special case hash */ + {0, 51, 10, 27931, 70, 1 }, + /* tcId: 297. special case hash */ + {0, 61, 10, 28001, 71, 1 }, + /* tcId: 298. special case hash */ + {0, 71, 9, 28072, 70, 1 }, + /* tcId: 299. special case hash */ + {0, 80, 10, 28142, 71, 1 }, + /* tcId: 300. special case hash */ + {0, 90, 10, 28213, 71, 1 }, + /* tcId: 301. special case hash */ + {0, 100, 10, 28284, 71, 1 }, + /* tcId: 302. special case hash */ + {0, 110, 10, 28355, 71, 1 }, + /* tcId: 303. special case hash */ + {0, 120, 11, 28426, 70, 1 }, + /* tcId: 304. special case hash */ + {0, 131, 10, 28496, 71, 1 }, + /* tcId: 305. special case hash */ + {0, 141, 10, 28567, 71, 1 }, + /* tcId: 306. special case hash */ + {0, 151, 10, 28638, 70, 1 }, + /* tcId: 307. special case hash */ + {0, 161, 10, 28708, 71, 1 }, + /* tcId: 308. special case hash */ + {0, 171, 10, 28779, 71, 1 }, + /* tcId: 309. special case hash */ + {0, 181, 10, 28850, 70, 1 }, + /* tcId: 310. special case hash */ + {0, 191, 10, 28920, 71, 1 }, + /* tcId: 311. special case hash */ + {0, 201, 10, 28991, 71, 1 }, + /* tcId: 312. special case hash */ + {0, 211, 10, 29062, 71, 1 }, + /* tcId: 313. special case hash */ + {0, 221, 10, 29133, 70, 1 }, + /* tcId: 314. special case hash */ + {0, 231, 10, 29203, 71, 1 }, + /* tcId: 315. special case hash */ + {0, 241, 10, 29274, 71, 1 }, + /* tcId: 316. special case hash */ + {0, 251, 10, 29345, 71, 1 }, + /* tcId: 317. special case hash */ + {0, 261, 11, 29416, 71, 1 }, + /* tcId: 318. special case hash */ + {0, 272, 11, 29487, 70, 1 }, + /* tcId: 319. special case hash */ + {0, 283, 9, 29557, 71, 1 }, + /* tcId: 320. special case hash */ + {0, 292, 9, 29628, 71, 1 }, + /* tcId: 321. special case hash */ + {0, 301, 10, 29699, 71, 1 }, + /* tcId: 322. special case hash */ + {0, 311, 10, 29770, 71, 1 }, + /* tcId: 323. special case hash */ + {0, 321, 10, 29841, 70, 1 }, + /* tcId: 324. special case hash */ + {0, 331, 10, 29911, 70, 1 }, + /* tcId: 325. special case hash */ + {0, 341, 10, 29981, 71, 1 }, + /* tcId: 326. special case hash */ + {0, 351, 9, 30052, 70, 1 }, + /* tcId: 327. special case hash */ + {0, 360, 10, 30122, 70, 1 }, + /* tcId: 328. special case hash */ + {0, 370, 10, 30192, 70, 1 }, + /* tcId: 329. special case hash */ + {0, 380, 10, 30262, 70, 1 }, + /* tcId: 330. special case hash */ + {0, 390, 9, 30332, 71, 1 }, + /* tcId: 331. special case hash */ + {0, 399, 11, 30403, 70, 1 }, + /* tcId: 332. special case hash */ + {0, 410, 9, 30473, 71, 1 }, + /* tcId: 333. special case hash */ + {0, 419, 9, 30544, 71, 1 }, + /* tcId: 334. special case hash */ + {0, 428, 11, 30615, 70, 1 }, + /* tcId: 335. special case hash */ + {0, 439, 8, 30685, 71, 1 }, + /* tcId: 336. special case hash */ + {0, 447, 10, 30756, 70, 1 }, + /* tcId: 337. special case hash */ + {0, 457, 10, 30826, 71, 1 }, + /* tcId: 338. special case hash */ + {0, 467, 10, 30897, 70, 1 }, + /* tcId: 339. special case hash */ + {0, 477, 10, 30967, 70, 1 }, + /* tcId: 340. special case hash */ + {0, 487, 10, 31037, 70, 1 }, + /* tcId: 341. special case hash */ + {0, 497, 10, 31107, 71, 1 }, + /* tcId: 342. special case hash */ + {0, 507, 10, 31178, 70, 1 }, + /* tcId: 343. special case hash */ + {0, 517, 10, 31248, 70, 1 }, + /* tcId: 344. special case hash */ + {0, 527, 10, 31318, 71, 1 }, + /* tcId: 345. special case hash */ + {0, 537, 9, 31389, 70, 1 }, + /* tcId: 346. k*G has a large x-coordinate */ + {65, 0, 6, 31459, 24, 1 }, + /* tcId: 347. r too large */ + {65, 0, 6, 31483, 40, 0 }, + /* tcId: 348. r,s are large */ + {130, 0, 6, 31523, 40, 1 }, + /* tcId: 349. r and s^-1 have a large Hamming weight */ + {195, 0, 6, 31563, 70, 1 }, + /* tcId: 350. r and s^-1 have a large Hamming weight */ + {260, 0, 6, 31633, 70, 1 }, + /* tcId: 351. small r and s */ + {325, 0, 6, 31703, 8, 1 }, + /* tcId: 352. small r and s */ + {390, 0, 6, 31711, 8, 1 }, + /* tcId: 353. small r and s */ + {455, 0, 6, 31719, 8, 1 }, + /* tcId: 354. small r and s */ + {520, 0, 6, 31727, 8, 1 }, + /* tcId: 355. small r and s */ + {585, 0, 6, 31735, 8, 1 }, + /* tcId: 356. small r and s */ + {650, 0, 6, 31743, 8, 1 }, + /* tcId: 357. r is larger than n */ + {650, 0, 6, 31751, 40, 0 }, + /* tcId: 358. s is larger than n */ + {715, 0, 6, 31791, 10, 0 }, + /* tcId: 359. small r and s^-1 */ + {780, 0, 6, 31801, 40, 1 }, + /* tcId: 360. smallish r and s^-1 */ + {845, 0, 6, 31841, 45, 1 }, + /* tcId: 361. 100-bit r and small s^-1 */ + {910, 0, 6, 31886, 51, 1 }, + /* tcId: 362. small r and 100 bit s^-1 */ + {975, 0, 6, 31937, 40, 1 }, + /* tcId: 363. 100-bit r and s^-1 */ + {1040, 0, 6, 31977, 51, 1 }, + /* tcId: 364. r and s^-1 are close to n */ + {1105, 0, 6, 32028, 71, 1 }, + /* tcId: 365. r and s are 64-bit integer */ + {1170, 0, 6, 32099, 24, 1 }, + /* tcId: 366. r and s are 100-bit integer */ + {1235, 0, 6, 32123, 32, 1 }, + /* tcId: 367. r and s are 128-bit integer */ + {1300, 0, 6, 32155, 40, 1 }, + /* tcId: 368. r and s are 160-bit integer */ + {1365, 0, 6, 32195, 48, 1 }, + /* tcId: 369. s == 1 */ + {1430, 0, 6, 32243, 39, 1 }, + /* tcId: 370. s == 0 */ + {1430, 0, 6, 32282, 39, 0 }, + /* tcId: 371. edge case modular inverse */ + {1495, 0, 6, 32321, 70, 1 }, + /* tcId: 372. edge case modular inverse */ + {1560, 0, 6, 32391, 70, 1 }, + /* tcId: 373. edge case modular inverse */ + {1625, 0, 6, 32461, 70, 1 }, + /* tcId: 374. edge case modular inverse */ + {1690, 0, 6, 32531, 70, 1 }, + /* tcId: 375. edge case modular inverse */ + {1755, 0, 6, 32601, 70, 1 }, + /* tcId: 376. edge case modular inverse */ + {1820, 0, 6, 32671, 70, 1 }, + /* tcId: 377. edge case modular inverse */ + {1885, 0, 6, 32741, 70, 1 }, + /* tcId: 378. edge case modular inverse */ + {1950, 0, 6, 32811, 70, 1 }, + /* tcId: 379. edge case modular inverse */ + {2015, 0, 6, 32881, 70, 1 }, + /* tcId: 380. edge case modular inverse */ + {2080, 0, 6, 32951, 70, 1 }, + /* tcId: 381. edge case modular inverse */ + {2145, 0, 6, 33021, 70, 1 }, + /* tcId: 382. edge case modular inverse */ + {2210, 0, 6, 33091, 70, 1 }, + /* tcId: 383. edge case modular inverse */ + {2275, 0, 6, 33161, 70, 1 }, + /* tcId: 384. edge case modular inverse */ + {2340, 0, 6, 33231, 70, 1 }, + /* tcId: 385. edge case modular inverse */ + {2405, 0, 6, 33301, 70, 1 }, + /* tcId: 386. point at infinity during verify */ + {2470, 0, 6, 33371, 70, 0 }, + /* tcId: 387. edge case for signature malleability */ + {2535, 0, 6, 33441, 70, 1 }, + /* tcId: 388. edge case for signature malleability */ + {2600, 0, 6, 33511, 70, 0 }, + /* tcId: 389. u1 == 1 */ + {2665, 0, 6, 33581, 70, 1 }, + /* tcId: 390. u1 == n - 1 */ + {2730, 0, 6, 33651, 70, 1 }, + /* tcId: 391. u2 == 1 */ + {2795, 0, 6, 33721, 70, 1 }, + /* tcId: 392. u2 == n - 1 */ + {2860, 0, 6, 33791, 70, 1 }, + /* tcId: 393. edge case for u1 */ + {2925, 0, 6, 33861, 70, 1 }, + /* tcId: 394. edge case for u1 */ + {2990, 0, 6, 33931, 70, 1 }, + /* tcId: 395. edge case for u1 */ + {3055, 0, 6, 34001, 70, 1 }, + /* tcId: 396. edge case for u1 */ + {3120, 0, 6, 34071, 70, 1 }, + /* tcId: 397. edge case for u1 */ + {3185, 0, 6, 34141, 70, 1 }, + /* tcId: 398. edge case for u1 */ + {3250, 0, 6, 34211, 70, 1 }, + /* tcId: 399. edge case for u1 */ + {3315, 0, 6, 34281, 70, 1 }, + /* tcId: 400. edge case for u1 */ + {3380, 0, 6, 34351, 70, 1 }, + /* tcId: 401. edge case for u1 */ + {3445, 0, 6, 34421, 70, 1 }, + /* tcId: 402. edge case for u1 */ + {3510, 0, 6, 34491, 70, 1 }, + /* tcId: 403. edge case for u1 */ + {3575, 0, 6, 34561, 70, 1 }, + /* tcId: 404. edge case for u1 */ + {3640, 0, 6, 34631, 70, 1 }, + /* tcId: 405. edge case for u1 */ + {3705, 0, 6, 34701, 70, 1 }, + /* tcId: 406. edge case for u1 */ + {3770, 0, 6, 34771, 70, 1 }, + /* tcId: 407. edge case for u1 */ + {3835, 0, 6, 34841, 70, 1 }, + /* tcId: 408. edge case for u2 */ + {3900, 0, 6, 34911, 70, 1 }, + /* tcId: 409. edge case for u2 */ + {3965, 0, 6, 34981, 70, 1 }, + /* tcId: 410. edge case for u2 */ + {4030, 0, 6, 35051, 70, 1 }, + /* tcId: 411. edge case for u2 */ + {4095, 0, 6, 35121, 70, 1 }, + /* tcId: 412. edge case for u2 */ + {4160, 0, 6, 35191, 70, 1 }, + /* tcId: 413. edge case for u2 */ + {4225, 0, 6, 35261, 69, 1 }, + /* tcId: 414. edge case for u2 */ + {4290, 0, 6, 35330, 70, 1 }, + /* tcId: 415. edge case for u2 */ + {4355, 0, 6, 35400, 70, 1 }, + /* tcId: 416. edge case for u2 */ + {4420, 0, 6, 35470, 70, 1 }, + /* tcId: 417. edge case for u2 */ + {4485, 0, 6, 35540, 70, 1 }, + /* tcId: 418. edge case for u2 */ + {4550, 0, 6, 35610, 70, 1 }, + /* tcId: 419. edge case for u2 */ + {4615, 0, 6, 35680, 70, 1 }, + /* tcId: 420. edge case for u2 */ + {4680, 0, 6, 35750, 70, 1 }, + /* tcId: 421. edge case for u2 */ + {4745, 0, 6, 35820, 70, 1 }, + /* tcId: 422. edge case for u2 */ + {4810, 0, 6, 35890, 70, 1 }, + /* tcId: 423. point duplication during verification */ + {4875, 0, 6, 35960, 70, 1 }, + /* tcId: 424. duplication bug */ + {4940, 0, 6, 36030, 70, 0 }, + /* tcId: 425. comparison with point at infinity */ + {5005, 0, 6, 36100, 70, 0 }, + /* tcId: 426. extreme value for k and edgecase s */ + {5070, 0, 6, 36170, 71, 1 }, + /* tcId: 427. extreme value for k and s^-1 */ + {5135, 0, 6, 36241, 71, 1 }, + /* tcId: 428. extreme value for k and s^-1 */ + {5200, 0, 6, 36312, 71, 1 }, + /* tcId: 429. extreme value for k and s^-1 */ + {5265, 0, 6, 36383, 71, 1 }, + /* tcId: 430. extreme value for k and s^-1 */ + {5330, 0, 6, 36454, 71, 1 }, + /* tcId: 431. extreme value for k */ + {5395, 0, 6, 36525, 71, 1 }, + /* tcId: 432. extreme value for k and edgecase s */ + {5460, 0, 6, 36596, 70, 1 }, + /* tcId: 433. extreme value for k and s^-1 */ + {5525, 0, 6, 36666, 70, 1 }, + /* tcId: 434. extreme value for k and s^-1 */ + {5590, 0, 6, 36736, 70, 1 }, + /* tcId: 435. extreme value for k and s^-1 */ + {5655, 0, 6, 36806, 70, 1 }, + /* tcId: 436. extreme value for k and s^-1 */ + {5720, 0, 6, 36876, 70, 1 }, + /* tcId: 437. extreme value for k */ + {5785, 0, 6, 36946, 70, 1 }, + /* tcId: 438. public key shares x-coordinate with generator */ + {5850, 0, 6, 37016, 71, 0 }, + /* tcId: 439. public key shares x-coordinate with generator */ + {5850, 0, 6, 37087, 70, 0 }, + /* tcId: 440. public key shares x-coordinate with generator */ + {5915, 0, 6, 37157, 71, 0 }, + /* tcId: 441. public key shares x-coordinate with generator */ + {5915, 0, 6, 37228, 70, 0 }, + /* tcId: 442. pseudorandom signature */ + {5980, 546, 0, 37298, 71, 1 }, + /* tcId: 443. pseudorandom signature */ + {5980, 546, 3, 37369, 70, 1 }, + /* tcId: 444. pseudorandom signature */ + {5980, 0, 6, 37439, 71, 1 }, + /* tcId: 445. pseudorandom signature */ + {5980, 549, 20, 37510, 70, 1 }, + /* tcId: 446. y-coordinate of the public key is small */ + {6045, 569, 7, 37580, 70, 1 }, + /* tcId: 447. y-coordinate of the public key is small */ + {6045, 569, 7, 37650, 70, 1 }, + /* tcId: 448. y-coordinate of the public key is small */ + {6045, 569, 7, 37720, 71, 1 }, + /* tcId: 449. y-coordinate of the public key is large */ + {6110, 569, 7, 37791, 70, 1 }, + /* tcId: 450. y-coordinate of the public key is large */ + {6110, 569, 7, 37861, 71, 1 }, + /* tcId: 451. y-coordinate of the public key is large */ + {6110, 569, 7, 37932, 70, 1 }, + /* tcId: 452. x-coordinate of the public key is small */ + {6175, 569, 7, 38002, 70, 1 }, + /* tcId: 453. x-coordinate of the public key is small */ + {6175, 569, 7, 38072, 71, 1 }, + /* tcId: 454. x-coordinate of the public key is small */ + {6175, 569, 7, 38143, 71, 1 }, + /* tcId: 455. x-coordinate of the public key has many trailing 1's */ + {6240, 569, 7, 38214, 70, 1 }, + /* tcId: 456. x-coordinate of the public key has many trailing 1's */ + {6240, 569, 7, 38284, 71, 1 }, + /* tcId: 457. x-coordinate of the public key has many trailing 1's */ + {6240, 569, 7, 38355, 71, 1 }, + /* tcId: 458. y-coordinate of the public key has many trailing 1's */ + {6305, 569, 7, 38426, 70, 1 }, + /* tcId: 459. y-coordinate of the public key has many trailing 1's */ + {6305, 569, 7, 38496, 71, 1 }, + /* tcId: 460. y-coordinate of the public key has many trailing 1's */ + {6305, 569, 7, 38567, 71, 1 }, + /* tcId: 461. x-coordinate of the public key has many trailing 0's */ + {6370, 569, 7, 38638, 70, 1 }, + /* tcId: 462. x-coordinate of the public key has many trailing 0's */ + {6370, 569, 7, 38708, 70, 1 }, + /* tcId: 463. x-coordinate of the public key has many trailing 0's */ + {6370, 569, 7, 38778, 71, 1 }, + +}; diff --git a/src/wycheproof/ecdsa_secp256k1_sha256_bitcoin_test.json b/src/wycheproof/ecdsa_secp256k1_sha256_bitcoin_test.json new file mode 100644 index 0000000000..add468f59a --- /dev/null +++ b/src/wycheproof/ecdsa_secp256k1_sha256_bitcoin_test.json @@ -0,0 +1,6360 @@ +{ + "algorithm" : "ECDSA", + "schema" : "ecdsa_bitcoin_verify_schema.json", + "generatorVersion" : "0.9rc5", + "numberOfTests" : 463, + "header" : [ + "Test vectors of type EcdsaBitcoinVerify are meant for the verification", + "of a ECDSA variant used for Bitcoin, that add signature non-malleability." + ], + "notes" : { + "ArithmeticError" : { + "bugType" : "EDGE_CASE", + "description" : "Some implementations of ECDSA have arithmetic errors that occur when intermediate results have extreme values. This test vector has been constructed to test such occurrences.", + "cves" : [ + "CVE-2017-18146" + ] + }, + "BerEncodedSignature" : { + "bugType" : "BER_ENCODING", + "description" : "ECDSA signatures are usually DER encoded. This signature contains valid values for r and s, but it uses alternative BER encoding.", + "effect" : "Accepting alternative BER encodings may be benign in some cases, or be an issue if protocol requires signature malleability.", + "cves" : [ + "CVE-2020-14966", + "CVE-2020-13822", + "CVE-2019-14859", + "CVE-2016-1000342" + ] + }, + "EdgeCasePublicKey" : { + "bugType" : "EDGE_CASE", + "description" : "The test vector uses a special case public key. " + }, + "EdgeCaseShamirMultiplication" : { + "bugType" : "EDGE_CASE", + "description" : "Shamir proposed a fast method for computing the sum of two scalar multiplications efficiently. This test vector has been constructed so that an intermediate result is the point at infinity if Shamir's method is used." + }, + "IntegerOverflow" : { + "bugType" : "CAN_OF_WORMS", + "description" : "The test vector contains an r and s that has been modified, so that the original value is restored if the implementation ignores the most significant bits.", + "effect" : "Without further analysis it is unclear if the modification can be used to forge signatures." + }, + "InvalidEncoding" : { + "bugType" : "CAN_OF_WORMS", + "description" : "ECDSA signatures are encoded using ASN.1. This test vector contains an incorrectly encoded signature. The test vector itself was generated from a valid signature by modifying its encoding.", + "effect" : "Without further analysis it is unclear if the modification can be used to forge signatures." + }, + "InvalidSignature" : { + "bugType" : "AUTH_BYPASS", + "description" : "The signature contains special case values such as r=0 and s=0. Buggy implementations may accept such values, if the implementation does not check boundaries and computes s^(-1) == 0.", + "effect" : "Accepting such signatures can have the effect that an adversary can forge signatures without even knowing the message to sign.", + "cves" : [ + "CVE-2022-21449", + "CVE-2021-43572", + "CVE-2022-24884" + ] + }, + "InvalidTypesInSignature" : { + "bugType" : "AUTH_BYPASS", + "description" : "The signature contains invalid types. Dynamic typed languages sometime coerce such values of different types into integers. If an implementation is careless and has additional bugs, such as not checking integer boundaries then it may be possible that such signatures are accepted.", + "effect" : "Accepting such signatures can have the effect that an adversary can forge signatures without even knowing the message to sign.", + "cves" : [ + "CVE-2022-21449" + ] + }, + "ModifiedInteger" : { + "bugType" : "CAN_OF_WORMS", + "description" : "The test vector contains an r and s that has been modified. The goal is to check for arithmetic errors.", + "effect" : "Without further analysis it is unclear if the modification can be used to forge signatures." + }, + "ModifiedSignature" : { + "bugType" : "CAN_OF_WORMS", + "description" : "The test vector contains an invalid signature that was generated from a valid signature by modifying it.", + "effect" : "Without further analysis it is unclear if the modification can be used to forge signatures." + }, + "ModularInverse" : { + "bugType" : "EDGE_CASE", + "description" : "The test vectors contains a signature where computing the modular inverse of s hits an edge case.", + "effect" : "While the signature in this test vector is constructed and similar cases are unlikely to occur, it is important to determine if the underlying arithmetic error can be used to forge signatures.", + "cves" : [ + "CVE-2019-0865" + ] + }, + "PointDuplication" : { + "bugType" : "EDGE_CASE", + "description" : "Some implementations of ECDSA do not handle duplication and points at infinity correctly. This is a test vector that has been specially crafted to check for such an omission.", + "cves" : [ + "2020-12607", + "CVE-2015-2730" + ] + }, + "RangeCheck" : { + "bugType" : "CAN_OF_WORMS", + "description" : "The test vector contains an r and s that has been modified. By adding or subtracting the order of the group (or other values) the test vector checks whether signature verification verifies the range of r and s.", + "effect" : "Without further analysis it is unclear if the modification can be used to forge signatures." + }, + "SignatureMalleabilityBitcoin" : { + "bugType" : "SIGNATURE_MALLEABILITY", + "description" : "Signature malleability can be a serious issue in Bitcoin. An implementation should only accept a signature s where s < n/2. If an implementation is meant for use cases that tolerate signature malleability then this implementation should not be tested with this set of test vectors.", + "effect" : "In Bitcoin exchanges, it may be used to make a double deposits or double withdrawals", + "links" : [ + "https://en.bitcoin.it/wiki/Transaction_malleability", + "https://en.bitcoinwiki.org/wiki/Transaction_Malleability" + ] + }, + "SmallRandS" : { + "bugType" : "EDGE_CASE", + "description" : "The test vectors contains a signature where both r and s are small integers. Some libraries cannot verify such signatures.", + "effect" : "While the signature in this test vector is constructed and similar cases are unlikely to occur, it is important to determine if the underlying arithmetic error can be used to forge signatures.", + "cves" : [ + "2020-13895" + ] + }, + "SpecialCaseHash" : { + "bugType" : "EDGE_CASE", + "description" : "The test vector contains a signature where the hash of the message is a special case, e.g., contains a long run of 0 or 1 bits." + }, + "ValidSignature" : { + "bugType" : "BASIC", + "description" : "The test vector contains a valid signature that was generated pseudorandomly. Such signatures should not fail to verify unless some of the parameters (e.g. curve or hash function) are not supported." + } + }, + "testGroups" : [ + { + "type" : "EcdsaBitcoinVerify", + "publicKey" : { + "type" : "EcPublicKey", + "curve" : "secp256k1", + "keySize" : 256, + "uncompressed" : "04b838ff44e5bc177bf21189d0766082fc9d843226887fc9760371100b7ee20a6ff0c9d75bfba7b31a6bca1974496eeb56de357071955d83c4b1badaa0b21832e9", + "wx" : "00b838ff44e5bc177bf21189d0766082fc9d843226887fc9760371100b7ee20a6f", + "wy" : "00f0c9d75bfba7b31a6bca1974496eeb56de357071955d83c4b1badaa0b21832e9" + }, + "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a03420004b838ff44e5bc177bf21189d0766082fc9d843226887fc9760371100b7ee20a6ff0c9d75bfba7b31a6bca1974496eeb56de357071955d83c4b1badaa0b21832e9", + "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEuDj/ROW8F3vyEYnQdmCC/J2EMiaIf8l2\nA3EQC37iCm/wyddb+6ezGmvKGXRJbutW3jVwcZVdg8Sxutqgshgy6Q==\n-----END PUBLIC KEY-----\n", + "sha" : 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"3045022100f6b0e2f6fe020cf7c0c20137434344ed7add6c4be51861e2d14cbda472a6ffb402206416c8dd3e5c5282b306e8dc8ff34ab64cc99549232d678d714402eb6ca7aa0f", + "result" : "valid" + }, + { + "tcId" : 457, + "comment" : "x-coordinate of the public key has many trailing 1's", + "flags" : [ + "EdgeCasePublicKey" + ], + "msg" : "4d657373616765", + "sig" : "3045022100db09d8460f05eff23bc7e436b67da563fa4b4edb58ac24ce201fa8a358125057022046da116754602940c8999c8d665f786c50f5772c0a3cdbda075e77eabc64df16", + "result" : "valid" + } + ] + }, + { + "type" : "EcdsaBitcoinVerify", + "publicKey" : { + "type" : "EcPublicKey", + "curve" : "secp256k1", + "keySize" : 256, + "uncompressed" : "04d12e6c66b67734c3c84d2601cf5d35dc097e27637f0aca4a4fdb74b6aadd3bb93f5bdff88bd5736df898e699006ed750f11cf07c5866cd7ad70c7121ffffffff", + "wx" : "00d12e6c66b67734c3c84d2601cf5d35dc097e27637f0aca4a4fdb74b6aadd3bb9", + "wy" : "3f5bdff88bd5736df898e699006ed750f11cf07c5866cd7ad70c7121ffffffff" + }, + "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a03420004d12e6c66b67734c3c84d2601cf5d35dc097e27637f0aca4a4fdb74b6aadd3bb93f5bdff88bd5736df898e699006ed750f11cf07c5866cd7ad70c7121ffffffff", + "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAE0S5sZrZ3NMPITSYBz1013Al+J2N/CspK\nT9t0tqrdO7k/W9/4i9VzbfiY5pkAbtdQ8RzwfFhmzXrXDHEh/////w==\n-----END PUBLIC KEY-----\n", + "sha" : "SHA-256", + "tests" : [ + { + "tcId" : 458, + "comment" : "y-coordinate of the public key has many trailing 1's", + "flags" : [ + "EdgeCasePublicKey" + ], + "msg" : "4d657373616765", + "sig" : "30440220592c41e16517f12fcabd98267674f974b588e9f35d35406c1a7bb2ed1d19b7b802203e65a06bd9f83caaeb7b00f2368d7e0dece6b12221269a9b5b765198f840a3a1", + "result" : "valid" + }, + { + "tcId" : 459, + "comment" : "y-coordinate of the public key has many trailing 1's", + "flags" : [ + "EdgeCasePublicKey" + ], + "msg" : "4d657373616765", + "sig" : "3045022100be0d70887d5e40821a61b68047de4ea03debfdf51cdf4d4b195558b959a032b202207d994b2d8f1dbbeb13534eb3f6e5dccd85f5c4133c27d9e64271b1826ce1f67d", + "result" : "valid" + }, + { + "tcId" : 460, + "comment" : "y-coordinate of the public key has many trailing 1's", + "flags" : [ + "EdgeCasePublicKey" + ], + "msg" : "4d657373616765", + "sig" : "3045022100fae92dfcb2ee392d270af3a5739faa26d4f97bfd39ed3cbee4d29e26af3b206a02206c9ba37f9faa6a1fd3f65f23b4e853d4692a7274240a12db7ba3884830630d16", + "result" : "valid" + } + ] + }, + { + "type" : "EcdsaBitcoinVerify", + "publicKey" : { + "type" : "EcPublicKey", + "curve" : "secp256k1", + "keySize" : 256, + "uncompressed" : "046d4a7f60d4774a4f0aa8bbdedb953c7eea7909407e3164755664bc2800000000e659d34e4df38d9e8c9eaadfba36612c769195be86c77aac3f36e78b538680fb", + "wx" : "6d4a7f60d4774a4f0aa8bbdedb953c7eea7909407e3164755664bc2800000000", + "wy" : "00e659d34e4df38d9e8c9eaadfba36612c769195be86c77aac3f36e78b538680fb" + }, + "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a034200046d4a7f60d4774a4f0aa8bbdedb953c7eea7909407e3164755664bc2800000000e659d34e4df38d9e8c9eaadfba36612c769195be86c77aac3f36e78b538680fb", + "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEbUp/YNR3Sk8KqLve25U8fup5CUB+MWR1\nVmS8KAAAAADmWdNOTfONnoyeqt+6NmEsdpGVvobHeqw/NueLU4aA+w==\n-----END PUBLIC KEY-----\n", + "sha" : "SHA-256", + "tests" : [ + { + "tcId" : 461, + "comment" : "x-coordinate of the public key has many trailing 0's", + "flags" : [ + "EdgeCasePublicKey" + ], + "msg" : "4d657373616765", + "sig" : "30440220176a2557566ffa518b11226694eb9802ed2098bfe278e5570fe1d5d7af18a94302201291df6a0ed5fc0d15098e70bcf13a009284dfd0689d3bb4be6ceeb9be1487c4", + "result" : "valid" + }, + { + "tcId" : 462, + "comment" : "x-coordinate of the public key has many trailing 0's", + "flags" : [ + "EdgeCasePublicKey" + ], + "msg" : "4d657373616765", + "sig" : "3044022060be20c3dbc162dd34d26780621c104bbe5dace630171b2daef0d826409ee5c20220427f7e4d889d549170bda6a9409fb1cb8b0e763d13eea7bd97f64cf41dc6e497", + "result" : "valid" + }, + { + "tcId" : 463, + "comment" : "x-coordinate of the public key has many trailing 0's", + "flags" : [ + "EdgeCasePublicKey" + ], + "msg" : "4d657373616765", + "sig" : "3045022100edf03cf63f658883289a1a593d1007895b9f236d27c9c1f1313089aaed6b16ae02201a4dd6fc0814dc523d1fefa81c64fbf5e618e651e7096fccadbb94cd48e5e0cd", + "result" : "valid" + } + ] + } + ] +} diff --git a/tools/check-abi.sh b/tools/check-abi.sh new file mode 100755 index 0000000000..a3ca67a6c9 --- /dev/null +++ b/tools/check-abi.sh @@ -0,0 +1,67 @@ +#!/bin/sh + +set -eu + +default_base_version="$(git describe --match "v*.*.*" --abbrev=0)" +default_new_version="HEAD" + +display_help_and_exit() { + echo "Usage: $0 [ []]" + echo "" + echo "Description: This script uses the ABI Compliance Checker tool to determine if the ABI" + echo " of a new version of libsecp256k1 has changed in a backward-incompatible way." + echo "" + echo "Options:" + echo " base_ver Specify the base version as a git commit-ish" + echo " (default: most recent reachable tag matching \"v.*.*\", currently \"$default_base_version\")" + echo " new_ver Specify the new version as a git commit-ish" + echo " (default: $default_new_version)" + echo " -h, --help Display this help message" + exit 0 +} + +if [ "$#" -eq 0 ]; then + base_version="$default_base_version" + new_version="$default_new_version" +elif [ "$#" -eq 1 ] && { [ "$1" = "-h" ] || [ "$1" = "--help" ]; }; then + display_help_and_exit +elif [ "$#" -eq 1 ] || [ "$#" -eq 2 ]; then + base_version="$1" + if [ "$#" -eq 2 ]; then + new_version="$2" + fi +else + echo "Invalid usage. See help:" + echo "" + display_help_and_exit +fi + +checkout_and_build() { + _orig_dir="$(pwd)" + git worktree add --detach "$1" "$2" + cd "$1" + mkdir build && cd build + cmake -S .. --preset dev-mode \ + -DCMAKE_C_COMPILER=gcc -DCMAKE_BUILD_TYPE=None -DCMAKE_C_FLAGS="-g -Og -gdwarf-4" \ + -DSECP256K1_BUILD_BENCHMARK=OFF \ + -DSECP256K1_BUILD_TESTS=OFF \ + -DSECP256K1_BUILD_EXHAUSTIVE_TESTS=OFF \ + -DSECP256K1_BUILD_CTIME_TESTS=OFF \ + -DSECP256K1_BUILD_EXAMPLES=OFF + cmake --build . -j "$(nproc)" + abi-dumper lib/libsecp256k1.so -o ABI.dump -lver "$2" -public-headers ../include/ + cd "$_orig_dir" +} + +echo "Comparing $base_version (base version) to $new_version (new version)" +echo + +base_source_dir="$(mktemp -d)" +checkout_and_build "$base_source_dir" "$base_version" + +new_source_dir="$(mktemp -d)" +checkout_and_build "$new_source_dir" "$new_version" + +abi-compliance-checker -lib libsecp256k1 -old "${base_source_dir}/build/ABI.dump" -new "${new_source_dir}/build/ABI.dump" +git worktree remove "$base_source_dir" +git worktree remove "$new_source_dir" diff --git a/tools/symbol-check.py b/tools/symbol-check.py new file mode 100755 index 0000000000..e7f478082f --- /dev/null +++ b/tools/symbol-check.py @@ -0,0 +1,72 @@ +#!/usr/bin/env python3 +"""Check that a libsecp256k1 shared library exports only expected symbols. + +Usage examples: + - When building with Autotools: + ./tools/symbol-check.py .libs/libsecp256k1.so + ./tools/symbol-check.py .libs/libsecp256k1-.dll + ./tools/symbol-check.py .libs/libsecp256k1.dylib + + - When building with CMake: + ./tools/symbol-check.py build/lib/libsecp256k1.so + ./tools/symbol-check.py build/bin/libsecp256k1-.dll + ./tools/symbol-check.py build/lib/libsecp256k1.dylib""" + +import re +import sys +import subprocess + +import lief + + +class UnexpectedExport(RuntimeError): + pass + + +def get_exported_exports(library) -> list[str]: + """Adapter function to get exported symbols based on the library format.""" + if library.format == lief.Binary.FORMATS.ELF: + return [symbol.name for symbol in library.exported_symbols] + elif library.format == lief.Binary.FORMATS.PE: + return [entry.name for entry in library.get_export().entries] + elif library.format == lief.Binary.FORMATS.MACHO: + return [symbol.name[1:] for symbol in library.exported_symbols] + raise NotImplementedError(f"Unsupported format: {library.format}") + + +def grep_expected_symbols() -> list[str]: + """Guess the list of expected exported symbols from the source code.""" + grep_output = subprocess.check_output( + ["git", "grep", r"^\s*SECP256K1_API", "--", "include"], + universal_newlines=True, + encoding="utf-8" + ) + lines = grep_output.split("\n") + pattern = re.compile(r'\bsecp256k1_\w+') + exported: list[str] = [pattern.findall(line)[-1] for line in lines if line.strip()] + return exported + + +def check_symbols(library, expected_exports) -> None: + """Check that the library exports only the expected symbols.""" + actual_exports = get_exported_exports(library) + unexpected_exports = set(actual_exports) - set(expected_exports) + if unexpected_exports != set(): + raise UnexpectedExport(f"Unexpected exported symbols: {unexpected_exports}") + +def main(): + if len(sys.argv) != 2: + print(__doc__) + return 1 + library = lief.parse(sys.argv[1]) + expected_exports = grep_expected_symbols() + try: + check_symbols(library, expected_exports) + except UnexpectedExport as e: + print(f"{sys.argv[0]}: In {sys.argv[1]}: {e}") + return 1 + return 0 + + +if __name__ == "__main__": + sys.exit(main()) diff --git a/tools/test_vectors_musig2_generate.py b/tools/test_vectors_musig2_generate.py new file mode 100755 index 0000000000..97424419f3 --- /dev/null +++ b/tools/test_vectors_musig2_generate.py @@ -0,0 +1,656 @@ +#!/usr/bin/env python3 + +import sys +import json +import textwrap + +max_pubkeys = 0 + +if len(sys.argv) < 2: + print( + "This script converts BIP MuSig2 test vectors in a given directory to a C file that can be used in the test framework." + ) + print("Usage: %s " % sys.argv[0]) + sys.exit(1) + + +def hexstr_to_intarray(str): + return ", ".join([f"0x{b:02X}" for b in bytes.fromhex(str)]) + + +def create_init(name): + return """ +static const struct musig_%s_vector musig_%s_vector = { +""" % ( + name, + name, + ) + + +def init_array(key): + return textwrap.indent("{ %s },\n" % hexstr_to_intarray(data[key]), 4 * " ") + + +def init_arrays(key): + s = textwrap.indent("{\n", 4 * " ") + s += textwrap.indent( + ",\n".join(["{ %s }" % hexstr_to_intarray(x) for x in data[key]]), 8 * " " + ) + s += textwrap.indent("\n},\n", 4 * " ") + return s + + +def init_indices(array): + return " %d, { %s }" % ( + len(array), + ", ".join(map(str, array) if len(array) > 0 else "0"), + ) + + +def init_is_xonly(case): + if len(case["tweak_indices"]) > 0: + return ", ".join(map(lambda x: "1" if x else "0", case["is_xonly"])) + return "0" + + +def init_optional_expected(case): + return hexstr_to_intarray(case["expected"]) if "expected" in case else 0 + + +def init_cases(cases, f): + s = textwrap.indent("{\n", 4 * " ") + for (i, case) in enumerate(cases): + s += textwrap.indent("%s\n" % f(case), 8 * " ") + s += textwrap.indent("},\n", 4 * " ") + return s + + +def finish_init(): + return "};\n" + + +s = ( + """/** + * Automatically generated by %s. + * + * The test vectors for the KeySort function are included in this file. They can + * be found in src/modules/extrakeys/tests_impl.h. */ +""" + % sys.argv[0] +) + + +s += """ +enum MUSIG_ERROR { + MUSIG_PUBKEY, + MUSIG_TWEAK, + MUSIG_PUBNONCE, + MUSIG_AGGNONCE, + MUSIG_SECNONCE, + MUSIG_SIG, + MUSIG_SIG_VERIFY, + MUSIG_OTHER +}; +""" + +# key agg vectors +with open(sys.argv[1] + "/key_agg_vectors.json", "r") as f: + data = json.load(f) + + max_key_indices = max( + len(test_case["key_indices"]) for test_case in data["valid_test_cases"] + ) + max_tweak_indices = max( + len(test_case["tweak_indices"]) for test_case in data["error_test_cases"] + ) + num_pubkeys = len(data["pubkeys"]) + max_pubkeys = max(num_pubkeys, max_pubkeys) + num_tweaks = len(data["tweaks"]) + num_valid_cases = len(data["valid_test_cases"]) + num_error_cases = len(data["error_test_cases"]) + + # Add structures for valid and error cases + s += ( + """ +struct musig_key_agg_valid_test_case { + size_t key_indices_len; + size_t key_indices[%d]; + unsigned char expected[32]; +}; +""" + % max_key_indices + ) + s += """ +struct musig_key_agg_error_test_case { + size_t key_indices_len; + size_t key_indices[%d]; + size_t tweak_indices_len; + size_t tweak_indices[%d]; + int is_xonly[%d]; + enum MUSIG_ERROR error; +}; +""" % ( + max_key_indices, + max_tweak_indices, + max_tweak_indices, + ) + + # Add structure for entire vector + s += """ +struct musig_key_agg_vector { + unsigned char pubkeys[%d][33]; + unsigned char tweaks[%d][32]; + struct musig_key_agg_valid_test_case valid_case[%d]; + struct musig_key_agg_error_test_case error_case[%d]; +}; +""" % ( + num_pubkeys, + num_tweaks, + num_valid_cases, + num_error_cases, + ) + + s += create_init("key_agg") + # Add pubkeys and tweaks to the vector + s += init_arrays("pubkeys") + s += init_arrays("tweaks") + + # Add valid cases to the vector + s += init_cases( + data["valid_test_cases"], + lambda case: "{ %s, { %s }}," + % (init_indices(case["key_indices"]), hexstr_to_intarray(case["expected"])), + ) + + def comment_to_error(case): + comment = case["comment"] + if "public key" in comment.lower(): + return "MUSIG_PUBKEY" + elif "tweak" in comment.lower(): + return "MUSIG_TWEAK" + else: + sys.exit("Unknown error") + + # Add error cases to the vector + s += init_cases( + data["error_test_cases"], + lambda case: "{ %s, %s, { %s }, %s }," + % ( + init_indices(case["key_indices"]), + init_indices(case["tweak_indices"]), + init_is_xonly(case), + comment_to_error(case), + ), + ) + + s += finish_init() + +# nonce gen vectors +with open(sys.argv[1] + "/nonce_gen_vectors.json", "r") as f: + data = json.load(f) + + # The MuSig2 implementation only allows messages of length 32 + data["test_cases"] = list( + filter(lambda c: c["msg"] is None or len(c["msg"]) == 64, data["test_cases"]) + ) + + num_tests = len(data["test_cases"]) + + s += """ +struct musig_nonce_gen_test_case { + unsigned char rand_[32]; + int has_sk; + unsigned char sk[32]; + unsigned char pk[33]; + int has_aggpk; + unsigned char aggpk[32]; + int has_msg; + unsigned char msg[32]; + int has_extra_in; + unsigned char extra_in[32]; + unsigned char expected_secnonce[97]; + unsigned char expected_pubnonce[66]; +}; +""" + + s += ( + """ +struct musig_nonce_gen_vector { + struct musig_nonce_gen_test_case test_case[%d]; +}; +""" + % num_tests + ) + + s += create_init("nonce_gen") + + def init_array_maybe(array): + return "%d , { %s }" % ( + 0 if array is None else 1, + hexstr_to_intarray(array) if array is not None else 0, + ) + + s += init_cases( + data["test_cases"], + lambda case: "{ { %s }, %s, { %s }, %s, %s, %s, { %s }, { %s } }," + % ( + hexstr_to_intarray(case["rand_"]), + init_array_maybe(case["sk"]), + hexstr_to_intarray(case["pk"]), + init_array_maybe(case["aggpk"]), + init_array_maybe(case["msg"]), + init_array_maybe(case["extra_in"]), + hexstr_to_intarray(case["expected_secnonce"]), + hexstr_to_intarray(case["expected_pubnonce"]), + ), + ) + + s += finish_init() + +# nonce agg vectors +with open(sys.argv[1] + "/nonce_agg_vectors.json", "r") as f: + data = json.load(f) + + num_pnonces = len(data["pnonces"]) + num_valid_cases = len(data["valid_test_cases"]) + num_error_cases = len(data["error_test_cases"]) + + pnonce_indices_len = 2 + for case in data["valid_test_cases"] + data["error_test_cases"]: + assert len(case["pnonce_indices"]) == pnonce_indices_len + + # Add structures for valid and error cases + s += """ +struct musig_nonce_agg_test_case { + size_t pnonce_indices[2]; + /* if valid case */ + unsigned char expected[66]; + /* if error case */ + int invalid_nonce_idx; +}; +""" + # Add structure for entire vector + s += """ +struct musig_nonce_agg_vector { + unsigned char pnonces[%d][66]; + struct musig_nonce_agg_test_case valid_case[%d]; + struct musig_nonce_agg_test_case error_case[%d]; +}; +""" % ( + num_pnonces, + num_valid_cases, + num_error_cases, + ) + + s += create_init("nonce_agg") + s += init_arrays("pnonces") + + for cases in (data["valid_test_cases"], data["error_test_cases"]): + s += init_cases( + cases, + lambda case: "{ { %s }, { %s }, %d }," + % ( + ", ".join(map(str, case["pnonce_indices"])), + init_optional_expected(case), + case["error"]["signer"] if "error" in case else 0, + ), + ) + s += finish_init() + +# sign/verify vectors +with open(sys.argv[1] + "/sign_verify_vectors.json", "r") as f: + data = json.load(f) + + # The MuSig2 implementation only allows messages of length 32 + assert list(filter(lambda x: len(x) == 64, data["msgs"]))[0] == data["msgs"][0] + data["msgs"] = [data["msgs"][0]] + + def filter_msg32(k): + return list(filter(lambda x: x["msg_index"] == 0, data[k])) + + data["valid_test_cases"] = filter_msg32("valid_test_cases") + data["sign_error_test_cases"] = filter_msg32("sign_error_test_cases") + data["verify_error_test_cases"] = filter_msg32("verify_error_test_cases") + data["verify_fail_test_cases"] = filter_msg32("verify_fail_test_cases") + + num_pubkeys = len(data["pubkeys"]) + max_pubkeys = max(num_pubkeys, max_pubkeys) + num_secnonces = len(data["secnonces"]) + num_pubnonces = len(data["pnonces"]) + num_aggnonces = len(data["aggnonces"]) + num_msgs = len(data["msgs"]) + num_valid_cases = len(data["valid_test_cases"]) + num_sign_error_cases = len(data["sign_error_test_cases"]) + num_verify_fail_cases = len(data["verify_fail_test_cases"]) + num_verify_error_cases = len(data["verify_error_test_cases"]) + + all_cases = ( + data["valid_test_cases"] + + data["sign_error_test_cases"] + + data["verify_error_test_cases"] + + data["verify_fail_test_cases"] + ) + max_key_indices = max(len(test_case["key_indices"]) for test_case in all_cases) + max_nonce_indices = max( + len(test_case["nonce_indices"]) if "nonce_indices" in test_case else 0 + for test_case in all_cases + ) + # Add structures for valid and error cases + s += ( + """ +/* Omit pubnonces in the test vectors because our partial signature verification + * implementation is able to accept the aggnonce directly. */ +struct musig_valid_case { + size_t key_indices_len; + size_t key_indices[%d]; + size_t aggnonce_index; + size_t msg_index; + size_t signer_index; + unsigned char expected[32]; +}; +""" + % max_key_indices + ) + + s += ( + """ +struct musig_sign_error_case { + size_t key_indices_len; + size_t key_indices[%d]; + size_t aggnonce_index; + size_t msg_index; + size_t secnonce_index; + enum MUSIG_ERROR error; +}; +""" + % max_key_indices + ) + + s += """ +struct musig_verify_fail_error_case { + unsigned char sig[32]; + size_t key_indices_len; + size_t key_indices[%d]; + size_t nonce_indices_len; + size_t nonce_indices[%d]; + size_t msg_index; + size_t signer_index; + enum MUSIG_ERROR error; +}; +""" % ( + max_key_indices, + max_nonce_indices, + ) + + # Add structure for entire vector + s += """ +struct musig_sign_verify_vector { + unsigned char sk[32]; + unsigned char pubkeys[%d][33]; + unsigned char secnonces[%d][194]; + unsigned char pubnonces[%d][194]; + unsigned char aggnonces[%d][66]; + unsigned char msgs[%d][32]; + struct musig_valid_case valid_case[%d]; + struct musig_sign_error_case sign_error_case[%d]; + struct musig_verify_fail_error_case verify_fail_case[%d]; + struct musig_verify_fail_error_case verify_error_case[%d]; +}; +""" % ( + num_pubkeys, + num_secnonces, + num_pubnonces, + num_aggnonces, + num_msgs, + num_valid_cases, + num_sign_error_cases, + num_verify_fail_cases, + num_verify_error_cases, + ) + + s += create_init("sign_verify") + s += init_array("sk") + s += init_arrays("pubkeys") + s += init_arrays("secnonces") + s += init_arrays("pnonces") + s += init_arrays("aggnonces") + s += init_arrays("msgs") + + s += init_cases( + data["valid_test_cases"], + lambda case: "{ %s, %d, %d, %d, { %s }}," + % ( + init_indices(case["key_indices"]), + case["aggnonce_index"], + case["msg_index"], + case["signer_index"], + init_optional_expected(case), + ), + ) + + def sign_error(case): + comment = case["comment"] + if "pubkey" in comment or "public key" in comment: + return "MUSIG_PUBKEY" + elif "Aggregate nonce" in comment: + return "MUSIG_AGGNONCE" + elif "Secnonce" in comment: + return "MUSIG_SECNONCE" + else: + sys.exit("Unknown sign error") + + s += init_cases( + data["sign_error_test_cases"], + lambda case: "{ %s, %d, %d, %d, %s }," + % ( + init_indices(case["key_indices"]), + case["aggnonce_index"], + case["msg_index"], + case["secnonce_index"], + sign_error(case), + ), + ) + + def verify_error(case): + comment = case["comment"] + if "exceeds" in comment: + return "MUSIG_SIG" + elif "Wrong signer" in comment or "Wrong signature" in comment: + return "MUSIG_SIG_VERIFY" + elif "pubnonce" in comment: + return "MUSIG_PUBNONCE" + elif "pubkey" in comment: + return "MUSIG_PUBKEY" + else: + sys.exit("Unknown verify error") + + for cases in ("verify_fail_test_cases", "verify_error_test_cases"): + s += init_cases( + data[cases], + lambda case: "{ { %s }, %s, %s, %d, %d, %s }," + % ( + hexstr_to_intarray(case["sig"]), + init_indices(case["key_indices"]), + init_indices(case["nonce_indices"]), + case["msg_index"], + case["signer_index"], + verify_error(case), + ), + ) + + s += finish_init() + +# tweak vectors +with open(sys.argv[1] + "/tweak_vectors.json", "r") as f: + data = json.load(f) + + num_pubkeys = len(data["pubkeys"]) + max_pubkeys = max(num_pubkeys, max_pubkeys) + num_pubnonces = len(data["pnonces"]) + num_tweaks = len(data["tweaks"]) + num_valid_cases = len(data["valid_test_cases"]) + num_error_cases = len(data["error_test_cases"]) + + all_cases = data["valid_test_cases"] + data["error_test_cases"] + max_key_indices = max(len(test_case["key_indices"]) for test_case in all_cases) + max_tweak_indices = max(len(test_case["tweak_indices"]) for test_case in all_cases) + max_nonce_indices = max(len(test_case["nonce_indices"]) for test_case in all_cases) + # Add structures for valid and error cases + s += """ +struct musig_tweak_case { + size_t key_indices_len; + size_t key_indices[%d]; + size_t nonce_indices_len; + size_t nonce_indices[%d]; + size_t tweak_indices_len; + size_t tweak_indices[%d]; + int is_xonly[%d]; + size_t signer_index; + unsigned char expected[32]; +}; +""" % ( + max_key_indices, + max_nonce_indices, + max_tweak_indices, + max_tweak_indices, + ) + + # Add structure for entire vector + s += """ +struct musig_tweak_vector { + unsigned char sk[32]; + unsigned char secnonce[97]; + unsigned char aggnonce[66]; + unsigned char msg[32]; + unsigned char pubkeys[%d][33]; + unsigned char pubnonces[%d][194]; + unsigned char tweaks[%d][32]; + struct musig_tweak_case valid_case[%d]; + struct musig_tweak_case error_case[%d]; +}; +""" % ( + num_pubkeys, + num_pubnonces, + num_tweaks, + num_valid_cases, + num_error_cases, + ) + s += create_init("tweak") + s += init_array("sk") + s += init_array("secnonce") + s += init_array("aggnonce") + s += init_array("msg") + s += init_arrays("pubkeys") + s += init_arrays("pnonces") + s += init_arrays("tweaks") + + s += init_cases( + data["valid_test_cases"], + lambda case: "{ %s, %s, %s, { %s }, %d, { %s }}," + % ( + init_indices(case["key_indices"]), + init_indices(case["nonce_indices"]), + init_indices(case["tweak_indices"]), + init_is_xonly(case), + case["signer_index"], + init_optional_expected(case), + ), + ) + + s += init_cases( + data["error_test_cases"], + lambda case: "{ %s, %s, %s, { %s }, %d, { %s }}," + % ( + init_indices(case["key_indices"]), + init_indices(case["nonce_indices"]), + init_indices(case["tweak_indices"]), + init_is_xonly(case), + case["signer_index"], + init_optional_expected(case), + ), + ) + + s += finish_init() + +# sigagg vectors +with open(sys.argv[1] + "/sig_agg_vectors.json", "r") as f: + data = json.load(f) + + num_pubkeys = len(data["pubkeys"]) + max_pubkeys = max(num_pubkeys, max_pubkeys) + num_tweaks = len(data["tweaks"]) + num_psigs = len(data["psigs"]) + num_valid_cases = len(data["valid_test_cases"]) + num_error_cases = len(data["error_test_cases"]) + + all_cases = data["valid_test_cases"] + data["error_test_cases"] + max_key_indices = max(len(test_case["key_indices"]) for test_case in all_cases) + max_tweak_indices = max(len(test_case["tweak_indices"]) for test_case in all_cases) + max_psig_indices = max(len(test_case["psig_indices"]) for test_case in all_cases) + + # Add structures for valid and error cases + s += """ +/* Omit pubnonces in the test vectors because they're only needed for + * implementations that do not directly accept an aggnonce. */ +struct musig_sig_agg_case { + size_t key_indices_len; + size_t key_indices[%d]; + size_t tweak_indices_len; + size_t tweak_indices[%d]; + int is_xonly[%d]; + unsigned char aggnonce[66]; + size_t psig_indices_len; + size_t psig_indices[%d]; + /* if valid case */ + unsigned char expected[64]; + /* if error case */ + int invalid_sig_idx; +}; +""" % ( + max_key_indices, + max_tweak_indices, + max_tweak_indices, + max_psig_indices, + ) + + # Add structure for entire vector + s += """ +struct musig_sig_agg_vector { + unsigned char pubkeys[%d][33]; + unsigned char tweaks[%d][32]; + unsigned char psigs[%d][32]; + unsigned char msg[32]; + struct musig_sig_agg_case valid_case[%d]; + struct musig_sig_agg_case error_case[%d]; +}; +""" % ( + num_pubkeys, + num_tweaks, + num_psigs, + num_valid_cases, + num_error_cases, + ) + + s += create_init("sig_agg") + s += init_arrays("pubkeys") + s += init_arrays("tweaks") + s += init_arrays("psigs") + s += init_array("msg") + + for cases in (data["valid_test_cases"], data["error_test_cases"]): + s += init_cases( + cases, + lambda case: "{ %s, %s, { %s }, { %s }, %s, { %s }, %d }," + % ( + init_indices(case["key_indices"]), + init_indices(case["tweak_indices"]), + init_is_xonly(case), + hexstr_to_intarray(case["aggnonce"]), + init_indices(case["psig_indices"]), + init_optional_expected(case), + case["error"]["signer"] if "error" in case else 0, + ), + ) + s += finish_init() +s += "enum { MUSIG_VECTORS_MAX_PUBKEYS = %d };" % max_pubkeys +print(s) diff --git a/tools/tests_wycheproof_generate_ecdh.py b/tools/tests_wycheproof_generate_ecdh.py new file mode 100755 index 0000000000..97551d01a1 --- /dev/null +++ b/tools/tests_wycheproof_generate_ecdh.py @@ -0,0 +1,166 @@ +#!/usr/bin/env python3 +# Copyright (c) 2024 Random "Randy" Lattice and Sean Andersen +# Distributed under the MIT software license, see the accompanying +# file COPYING or https://www.opensource.org/licenses/mit-license.php. +''' +Generate a C file with ECDH testvectors from the Wycheproof project. +''' + +import json +import sys + +from binascii import hexlify, unhexlify +from wycheproof_utils import to_c_array + +def should_skip_flags(test_vector_flags): + # skip these vectors because they are for ASN.1 encoding issues and other curves. + # for more details, see https://github.com/bitcoin-core/secp256k1/pull/1492#discussion_r1572491546 + flags_to_skip = {"InvalidAsn", "WrongCurve"} + return any(flag in test_vector_flags for flag in flags_to_skip) + +def should_skip_tcid(test_vector_tcid): + # We skip some test case IDs that have a public key whose custom ASN.1 representation explicitly + # encodes some curve parameters that are invalid. libsecp256k1 never parses this part so we do + # not care testing those. See https://github.com/bitcoin-core/secp256k1/pull/1492#discussion_r1572491546 + tcids_to_skip = [496, 497, 502, 503, 504, 505, 507] + return test_vector_tcid in tcids_to_skip + +# Rudimentary ASN.1 DER public key parser. +# This should not be used for anything other than parsing Wycheproof test vectors. +def parse_der_pk(s): + tag = s[0] + L = int(s[1]) + offset = 0 + if L & 0x80: + if L == 0x81: + L = int(s[2]) + offset = 1 + elif L == 0x82: + L = 256 * int(s[2]) + int(s[3]) + offset = 2 + else: + raise ValueError("invalid L") + value = s[(offset + 2):(L + 2 + offset)] + rest = s[(L + 2 + offset):] + + if len(rest) > 0 or tag == 0x06: # OBJECT IDENTIFIER + return parse_der_pk(rest) + if tag == 0x03: # BIT STRING + return value + if tag == 0x30: # SEQUENCE + return parse_der_pk(value) + raise ValueError("unknown tag") + +def parse_public_key(pk): + der_pub_key = parse_der_pk(unhexlify(pk)) # Convert back to str and strip off the `0x` + return hexlify(der_pub_key).decode()[2:] + +def normalize_private_key(sk): + # Ensure the private key is at most 64 characters long, retaining the last 64 if longer. + # In the wycheproof test vectors, some private keys have leading zeroes + normalized = sk[-64:].zfill(64) + if len(normalized) != 64: + raise ValueError("private key must be exactly 64 characters long.") + return normalized + +def normalize_expected_result(er): + result_mapping = {"invalid": 0, "valid": 1, "acceptable": 1} + return result_mapping[er] + +filename_input = sys.argv[1] + +with open(filename_input) as f: + doc = json.load(f) + +num_vectors = 0 +offset_sk_running, offset_pk_running, offset_shared = 0, 0, 0 +test_vectors_out = "" +private_keys = "" +shared_secrets = "" +public_keys = "" +cache_sks = {} +cache_public_keys = {} + +for group in doc['testGroups']: + assert group["type"] == "EcdhTest" + assert group["curve"] == "secp256k1" + for test_vector in group['tests']: + if should_skip_flags(test_vector['flags']) or should_skip_tcid(test_vector['tcId']): + continue + + public_key = parse_public_key(test_vector['public']) + private_key = normalize_private_key(test_vector['private']) + expected_result = normalize_expected_result(test_vector['result']) + + # // 2 to convert hex to byte length + shared_size = len(test_vector['shared']) // 2 + sk_size = len(private_key) // 2 + pk_size = len(public_key) // 2 + + new_sk = False + sk = to_c_array(private_key) + sk_offset = offset_sk_running + + # check for repeated sk + if sk not in cache_sks: + if num_vectors != 0 and sk_size != 0: + private_keys += ",\n " + cache_sks[sk] = offset_sk_running + private_keys += sk + new_sk = True + else: + sk_offset = cache_sks[sk] + + new_pk = False + pk = to_c_array(public_key) if public_key != '0x' else '' + + pk_offset = offset_pk_running + # check for repeated pk + if pk not in cache_public_keys: + if num_vectors != 0 and len(pk) != 0: + public_keys += ",\n " + cache_public_keys[pk] = offset_pk_running + public_keys += pk + new_pk = True + else: + pk_offset = cache_public_keys[pk] + + + shared_secrets += ",\n " if num_vectors and shared_size else "" + shared_secrets += to_c_array(test_vector['shared']) + wycheproof_tcid = test_vector['tcId'] + + test_vectors_out += " /" + "* tcId: " + str(test_vector['tcId']) + ". " + test_vector['comment'] + " *" + "/\n" + test_vectors_out += f" {{{pk_offset}, {pk_size}, {sk_offset}, {sk_size}, {offset_shared}, {shared_size}, {expected_result}, {wycheproof_tcid} }},\n" + if new_sk: + offset_sk_running += sk_size + if new_pk: + offset_pk_running += pk_size + offset_shared += shared_size + num_vectors += 1 + +struct_definition = """ +typedef struct { + size_t pk_offset; + size_t pk_len; + size_t sk_offset; + size_t sk_len; + size_t shared_offset; + size_t shared_len; + int expected_result; + int wycheproof_tcid; +} wycheproof_ecdh_testvector; +""" + +print("/* Note: this file was autogenerated using tests_wycheproof_ecdh.py. Do not edit. */") +print(f"#define SECP256K1_ECDH_WYCHEPROOF_NUMBER_TESTVECTORS ({num_vectors})") + +print(struct_definition) + +print("static const unsigned char wycheproof_ecdh_private_keys[] = { " + private_keys + "};\n") +print("static const unsigned char wycheproof_ecdh_public_keys[] = { " + public_keys + "};\n") +print("static const unsigned char wycheproof_ecdh_shared_secrets[] = { " + shared_secrets + "};\n") + +print("static const wycheproof_ecdh_testvector testvectors[SECP256K1_ECDH_WYCHEPROOF_NUMBER_TESTVECTORS] = {") +print(test_vectors_out) +print("};") diff --git a/tools/tests_wycheproof_generate_ecdsa.py b/tools/tests_wycheproof_generate_ecdsa.py new file mode 100755 index 0000000000..91ff9e318a --- /dev/null +++ b/tools/tests_wycheproof_generate_ecdsa.py @@ -0,0 +1,111 @@ +#!/usr/bin/env python3 +# Copyright (c) 2023 Random "Randy" Lattice and Sean Andersen +# Distributed under the MIT software license, see the accompanying +# file COPYING or https://www.opensource.org/licenses/mit-license.php. +''' +Generate a C file with ECDSA testvectors from the Wycheproof project. +''' + +import json +import sys + +from wycheproof_utils import to_c_array + +filename_input = sys.argv[1] + +with open(filename_input) as f: + doc = json.load(f) + +num_groups = len(doc['testGroups']) + + +num_vectors = 0 +offset_msg_running, offset_pk_running, offset_sig = 0, 0, 0 +out = "" +messages = "" +signatures = "" +public_keys = "" +cache_msgs = {} +cache_public_keys = {} + +for i in range(num_groups): + group = doc['testGroups'][i] + num_tests = len(group['tests']) + public_key = group['publicKey'] + for j in range(num_tests): + test_vector = group['tests'][j] + # // 2 to convert hex to byte length + sig_size = len(test_vector['sig']) // 2 + msg_size = len(test_vector['msg']) // 2 + + if test_vector['result'] == "invalid": + expected_verify = 0 + elif test_vector['result'] == "valid": + expected_verify = 1 + else: + raise ValueError("invalid result field") + + if num_vectors != 0 and sig_size != 0: + signatures += ",\n " + + new_msg = False + msg = to_c_array(test_vector['msg']) + msg_offset = offset_msg_running + # check for repeated msg + if msg not in cache_msgs: + if num_vectors != 0 and msg_size != 0: + messages += ",\n " + cache_msgs[msg] = offset_msg_running + messages += msg + new_msg = True + else: + msg_offset = cache_msgs[msg] + + new_pk = False + pk = to_c_array(public_key['uncompressed']) + pk_offset = offset_pk_running + # check for repeated pk + if pk not in cache_public_keys: + if num_vectors != 0: + public_keys += ",\n " + cache_public_keys[pk] = offset_pk_running + public_keys += pk + new_pk = True + else: + pk_offset = cache_public_keys[pk] + + signatures += to_c_array(test_vector['sig']) + + out += " /" + "* tcId: " + str(test_vector['tcId']) + ". " + test_vector['comment'] + " *" + "/\n" + out += f" {{{pk_offset}, {msg_offset}, {msg_size}, {offset_sig}, {sig_size}, {expected_verify} }},\n" + if new_msg: + offset_msg_running += msg_size + if new_pk: + offset_pk_running += 65 + offset_sig += sig_size + num_vectors += 1 + +struct_definition = """ +typedef struct { + size_t pk_offset; + size_t msg_offset; + size_t msg_len; + size_t sig_offset; + size_t sig_len; + int expected_verify; +} wycheproof_ecdsa_testvector; +""" + + +print("/* Note: this file was autogenerated using tests_wycheproof_generate_ecdsa.py. Do not edit. */") +print(f"#define SECP256K1_ECDSA_WYCHEPROOF_NUMBER_TESTVECTORS ({num_vectors})") + +print(struct_definition) + +print("static const unsigned char wycheproof_ecdsa_messages[] = { " + messages + "};\n") +print("static const unsigned char wycheproof_ecdsa_public_keys[] = { " + public_keys + "};\n") +print("static const unsigned char wycheproof_ecdsa_signatures[] = { " + signatures + "};\n") + +print("static const wycheproof_ecdsa_testvector testvectors[SECP256K1_ECDSA_WYCHEPROOF_NUMBER_TESTVECTORS] = {") +print(out) +print("};") diff --git a/tools/wycheproof_utils.py b/tools/wycheproof_utils.py new file mode 100644 index 0000000000..e8d2edd08f --- /dev/null +++ b/tools/wycheproof_utils.py @@ -0,0 +1,12 @@ +# Copyright (c) 2024 Random "Randy" Lattice and Sean Andersen +# Distributed under the MIT software license, see the accompanying +# file COPYING or https://www.opensource.org/licenses/mit-license.php. +''' +Utility functions for generating C files for testvectors from the Wycheproof project. +''' + +def to_c_array(x): + if x == "": + return "" + s = ',0x'.join(a + b for a, b in zip(x[::2], x[1::2])) + return "0x" + s