trac #10074 review commit

Author: Frédéric Chapoton

src/sage/functions/hyperbolic.py

@@ -9,6 +9,7 @@
 
 import math
 
+
 class HyperbolicFunction(BuiltinFunction):
     r"""
     Abstract base class for the functions defined in this file.
@@ -37,8 +38,8 @@ def __init__(self, name, latex_name=None, conversions=None,
 
             sage: from sage.functions.hyperbolic import HyperbolicFunction
             sage: class Barh(HyperbolicFunction):
-            ...  def __init__(self):
-            ...     HyperbolicFunction.__init__(self, 'barh')
+            ....:     def __init__(self):
+            ....:         HyperbolicFunction.__init__(self, 'barh')
             sage: barh = Barh()
             sage: barh(x)
             barh(x)
@@ -53,8 +54,8 @@ def _evalf_(self, x, parent=None, algorithm=None):
 
             sage: from sage.functions.hyperbolic import HyperbolicFunction
             sage: class Fooh(HyperbolicFunction):
-            ...  def __init__(self):
-            ...     HyperbolicFunction.__init__(self, 'fooh',evalf_float=lambda x: 2*x)
+            ....:     def __init__(self):
+            ....:         HyperbolicFunction.__init__(self, 'fooh',evalf_float=lambda x: 2*x)
             sage: fooh = Fooh()
             sage: fooh(float(5))
             10.0
@@ -71,6 +72,7 @@ def _evalf_(self, x, parent=None, algorithm=None):
             return self._evalf_float(x)
         return getattr(x, self.name())()
 
+
 class Function_sinh(GinacFunction):
     def __init__(self):
         r"""
@@ -106,6 +108,7 @@ def __init__(self):
 
 sinh = Function_sinh()
 
+
 class Function_cosh(GinacFunction):
     def __init__(self):
         r"""
@@ -191,6 +194,7 @@ def __init__(self):
 
 tanh = Function_tanh()
 
+
 class Function_coth(HyperbolicFunction):
     def __init__(self):
         r"""
@@ -213,10 +217,10 @@ def __init__(self):
         HyperbolicFunction.__init__(self, "coth", latex_name=r"\coth",
                                    evalf_float=lambda x: 1/math.tanh(x))
 
-    def _eval_ (self, x):
+    def _eval_(self, x):
         """
         EXAMPLES::
-        
+
             sage: coth(0)
             +Infinity
             sage: coth(pi*I)
@@ -233,9 +237,9 @@ def _eval_ (self, x):
         if x.is_zero():
             return Infinity
         if isinstance(x, Expression):
-            x = 2*x/pi/I
-            if x.is_integer():
-                if ZZ(x)%2 == 1:
+            y = 2 * x / pi / I
+            if y.is_integer():
+                if ZZ(y) % 2 == 1:
                     return 0
                 else:
                     return Infinity
@@ -265,6 +269,7 @@ def _derivative_(self, *args, **kwds):
 
 coth = Function_coth()
 
+
 class Function_sech(HyperbolicFunction):
     def __init__(self):
         r"""
@@ -287,10 +292,10 @@ def __init__(self):
         HyperbolicFunction.__init__(self, "sech", latex_name=r"{\rm sech}",
                                    evalf_float=lambda x: 1/math.cosh(x))
 
-    def _eval_ (self, x):
+    def _eval_(self, x):
         """
         EXAMPLES::
-        
+
             sage: sech(0)
             1
             sage: sech(pi*I)
@@ -307,12 +312,12 @@ def _eval_ (self, x):
         if x.is_zero():
             return 1
         if isinstance(x, Expression):
-            x = 2*x/pi/I
-            if x.is_integer():
-                if ZZ(x)%2 == 1:
+            y = 2 * x / pi / I
+            if y.is_integer():
+                if ZZ(y) % 2 == 1:
                     return Infinity
                 else:
-                    return ZZ(-1)**ZZ(x/2)
+                    return ZZ(-1) ** ZZ(y / 2)
 
     def _eval_numpy_(self, x):
         """
@@ -362,10 +367,10 @@ def __init__(self):
         HyperbolicFunction.__init__(self, "csch", latex_name=r"{\rm csch}",
                                    evalf_float=lambda x: 1/math.sinh(x))
 
-    def _eval_ (self, x):
+    def _eval_(self, x):
         """
         EXAMPLES::
-        
+
             sage: csch(0)
             +Infinity
             sage: csch(pi*I)
@@ -380,10 +385,10 @@ def _eval_ (self, x):
         if x.is_zero():
             return Infinity
         if isinstance(x, Expression):
-            x = 2*x/pi/I
-            if x.is_integer():
-                if ZZ(x)%2 == 1:
-                    return ZZ(-1)**ZZ((x+1)/2)*I
+            y = 2 * x / pi / I
+            if y.is_integer():
+                if ZZ(y) % 2 == 1:
+                    return ZZ(-1) ** ZZ((y + 1) / 2) * I
                 else:
                     return Infinity
 
@@ -417,6 +422,7 @@ def _derivative_(self, *args, **kwds):
 # Inverse hyperbolic functions #
 ################################
 
+
 class Function_arcsinh(GinacFunction):
     def __init__(self):
         r"""
@@ -474,6 +480,7 @@ def __init__(self):
 
 arcsinh = asinh = Function_arcsinh()
 
+
 class Function_arccosh(GinacFunction):
     def __init__(self):
         r"""
@@ -553,6 +560,7 @@ def __init__(self):
 
 arccosh = acosh = Function_arccosh()
 
+
 class Function_arctanh(GinacFunction):
     def __init__(self):
         r"""
@@ -608,6 +616,7 @@ def __init__(self):
 
 arctanh = atanh = Function_arctanh()
 
+
 class Function_arccoth(HyperbolicFunction):
     def __init__(self):
         r"""
@@ -668,6 +677,7 @@ def _derivative_(self, *args, **kwds):
 
 arccoth = acoth = Function_arccoth()
 
+
 class Function_arcsech(HyperbolicFunction):
     def __init__(self):
         r"""
@@ -718,6 +728,7 @@ def _derivative_(self, *args, **kwds):
 
 arcsech = asech = Function_arcsech()
 
+
 class Function_arccsch(HyperbolicFunction):
     def __init__(self):
         r"""