}
#define m_log1p _Py_log1p
+
+/*
+ wrapper for atan2 that deals directly with special cases before
+ delegating to the platform libm for the remaining cases. This
+ is necessary to get consistent behaviour across platforms.
+ Windows, FreeBSD and alpha Tru64 are amongst platforms that don't
+ always follow C99. Windows screws up atan2 for inf and nan, and
+ alpha Tru64 5.1 doesn't follow C99 for atan2(0., 0.).
+*/
+
+static double
+_Py_atan2(double y, double x)
+{
+ if (isnan(x) || isnan(y))
+ return Py_NAN;
+ if (isinf(y)) {
+ if (isinf(x)) {
+ if (copysign(1., x) == 1.)
+ /* atan2(+-inf, +inf) == +-pi/4 */
+ return copysign(0.25*Py_MATH_PI, y);
+ else
+ /* atan2(+-inf, -inf) == +-pi*3/4 */
+ return copysign(0.75*Py_MATH_PI, y);
+ }
+ /* atan2(+-inf, x) == +-pi/2 for finite x */
+ return copysign(0.5*Py_MATH_PI, y);
+ }
+ if (isinf(x) || y == 0.) {
+ if (copysign(1., x) == 1.)
+ /* atan2(+-y, +inf) = atan2(+-0, +x) = +-0. */
+ return copysign(0., y);
+ else
+ /* atan2(+-y, -inf) = atan2(+-0., -x) = +-pi. */
+ return copysign(Py_MATH_PI, y);
+ }
+ return atan2(y, x);
+}
+
+#define m_atan2 _Py_atan2
return r;
}
-/* Windows screws up atan2 for inf and nan, and alpha Tru64 5.1 doesn't follow
- C99 for atan2(0., 0.). */
-static double
-c_atan2(Py_complex z)
-{
- if (isnan(z.real) || isnan(z.imag))
- return Py_NAN;
- if (isinf(z.imag)) {
- if (isinf(z.real)) {
- if (copysign(1., z.real) == 1.)
- /* atan2(+-inf, +inf) == +-pi/4 */
- return copysign(0.25*Py_MATH_PI, z.imag);
- else
- /* atan2(+-inf, -inf) == +-pi*3/4 */
- return copysign(0.75*Py_MATH_PI, z.imag);
- }
- /* atan2(+-inf, x) == +-pi/2 for finite x */
- return copysign(0.5*Py_MATH_PI, z.imag);
- }
- if (isinf(z.real) || z.imag == 0.) {
- if (copysign(1., z.real) == 1.)
- /* atan2(+-y, +inf) = atan2(+-0, +x) = +-0. */
- return copysign(0., z.imag);
- else
- /* atan2(+-y, -inf) = atan2(+-0., -x) = +-pi. */
- return copysign(Py_MATH_PI, z.imag);
- }
- return atan2(z.imag, z.real);
-}
-
static Py_complex atanh_special_values[7][7];
double phi;
errno = 0;
- phi = c_atan2(z); /* should not cause any exception */
+ phi = m_atan2(z.imag, z.real); /* should not cause any exception */
if (errno != 0)
return math_error();
else
double r, phi;
errno = 0;
- phi = c_atan2(z); /* should not cause any exception */
+ phi = m_atan2(z.imag, z.real); /* should not cause any exception */
r = _Py_c_abs(z); /* sets errno to ERANGE on overflow */
if (errno != 0)
return math_error();
return r;
}
-/*
- wrapper for atan2 that deals directly with special cases before
- delegating to the platform libm for the remaining cases. This
- is necessary to get consistent behaviour across platforms.
- Windows, FreeBSD and alpha Tru64 are amongst platforms that don't
- always follow C99.
-*/
-
-static double
-m_atan2(double y, double x)
-{
- if (isnan(x) || isnan(y))
- return Py_NAN;
- if (isinf(y)) {
- if (isinf(x)) {
- if (copysign(1., x) == 1.)
- /* atan2(+-inf, +inf) == +-pi/4 */
- return copysign(0.25*Py_MATH_PI, y);
- else
- /* atan2(+-inf, -inf) == +-pi*3/4 */
- return copysign(0.75*Py_MATH_PI, y);
- }
- /* atan2(+-inf, x) == +-pi/2 for finite x */
- return copysign(0.5*Py_MATH_PI, y);
- }
- if (isinf(x) || y == 0.) {
- if (copysign(1., x) == 1.)
- /* atan2(+-y, +inf) = atan2(+-0, +x) = +-0. */
- return copysign(0., y);
- else
- /* atan2(+-y, -inf) = atan2(+-0., -x) = +-pi. */
- return copysign(Py_MATH_PI, y);
- }
- return atan2(y, x);
-}
-
-
/* IEEE 754-style remainder operation: x - n*y where n*y is the nearest
multiple of y to x, taking n even in the case of a tie. Assuming an IEEE 754
binary floating-point format, the result is always exact. */