branchless rounding

contracts/utils/math/Math.sol

@@ -210,11 +210,7 @@ library Math {
      * @dev Calculates x * y / denominator with full precision, following the selected rounding direction.
      */
     function mulDiv(uint256 x, uint256 y, uint256 denominator, Rounding rounding) internal pure returns (uint256) {
-        uint256 result = mulDiv(x, y, denominator);
-        if (unsignedRoundsUp(rounding) && mulmod(x, y, denominator) > 0) {
-            result += 1;
-        }
-        return result;
+        return mulDiv(x, y, denominator) + boolToUint(unsignedRoundsUp(rounding) && mulmod(x, y, denominator) > 0);
     }
 
     /**
@@ -383,7 +379,7 @@ library Math {
     function sqrt(uint256 a, Rounding rounding) internal pure returns (uint256) {
         unchecked {
             uint256 result = sqrt(a);
-            return result + (unsignedRoundsUp(rounding) && result * result < a ? 1 : 0);
+            return result + boolToUint(unsignedRoundsUp(rounding) && result * result < a);
         }
     }
 
@@ -436,7 +432,7 @@ library Math {
     function log2(uint256 value, Rounding rounding) internal pure returns (uint256) {
         unchecked {
             uint256 result = log2(value);
-            return result + (unsignedRoundsUp(rounding) && 1 << result < value ? 1 : 0);
+            return result + boolToUint(unsignedRoundsUp(rounding) && 1 << result < value);
         }
     }
 
@@ -485,7 +481,7 @@ library Math {
     function log10(uint256 value, Rounding rounding) internal pure returns (uint256) {
         unchecked {
             uint256 result = log10(value);
-            return result + (unsignedRoundsUp(rounding) && 10 ** result < value ? 1 : 0);
+            return result + boolToUint(unsignedRoundsUp(rounding) && 10 ** result < value);
         }
     }
 
@@ -528,7 +524,7 @@ library Math {
     function log256(uint256 value, Rounding rounding) internal pure returns (uint256) {
         unchecked {
             uint256 result = log256(value);
-            return result + (unsignedRoundsUp(rounding) && 1 << (result << 3) < value ? 1 : 0);
+            return result + boolToUint(unsignedRoundsUp(rounding) && 1 << (result << 3) < value);
         }
     }