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| # NumPy math library | |
| # | |
| # This exports the functionality of the NumPy core math library, aka npymath, | |
| # which provides implementations of C99 math functions and macros for system | |
| # with a C89 library (such as MSVC). npymath is available with NumPy >=1.3, | |
| # although some functions will require later versions. The spacing function is | |
| # not in C99, but comes from Fortran. | |
| # | |
| # On the Cython side, the npymath functions are available without the "npy_" | |
| # prefix that they have in C, to make this is a drop-in replacement for | |
| # libc.math. The same is true for the constants, where possible. | |
| # | |
| # See the NumPy documentation for linking instructions. | |
| # | |
| # Complex number support and NumPy 2.0 half-precision functions are currently | |
| # not exported. | |
| # | |
| # Author: Lars Buitinck | |
| cdef extern from "numpy/npy_math.h" nogil: | |
| # Floating-point classification | |
| long double NAN "NPY_NAN" | |
| long double INFINITY "NPY_INFINITY" | |
| long double PZERO "NPY_PZERO" # positive zero | |
| long double NZERO "NPY_NZERO" # negative zero | |
| # These four are actually macros and work on any floating-point type. | |
| int isinf "npy_isinf"(long double) # -1 / 0 / 1 | |
| bint isfinite "npy_isfinite"(long double) | |
| bint isnan "npy_isnan"(long double) | |
| bint signbit "npy_signbit"(long double) | |
| # Math constants | |
| long double E "NPY_E" | |
| long double LOG2E "NPY_LOG2E" # ln(e) / ln(2) | |
| long double LOG10E "NPY_LOG10E" # ln(e) / ln(10) | |
| long double LOGE2 "NPY_LOGE2" # ln(2) | |
| long double LOGE10 "NPY_LOGE10" # ln(10) | |
| long double PI "NPY_PI" | |
| long double PI_2 "NPY_PI_2" # pi / 2 | |
| long double PI_4 "NPY_PI_4" # pi / 4 | |
| long double NPY_1_PI # 1 / pi; NPY_ because of ident syntax | |
| long double NPY_2_PI # 2 / pi | |
| long double EULER "NPY_EULER" # Euler constant (gamma, 0.57721) | |
| # Low-level floating point manipulation (NumPy >=1.4) | |
| float copysignf "npy_copysignf"(float, float) | |
| float nextafterf "npy_nextafterf"(float x, float y) | |
| float spacingf "npy_spacingf"(float x) | |
| double copysign "npy_copysign"(double, double) | |
| double nextafter "npy_nextafter"(double x, double y) | |
| double spacing "npy_spacing"(double x) | |
| long double copysignl "npy_copysignl"(long double, long double) | |
| long double nextafterl "npy_nextafterl"(long double x, long double y) | |
| long double spacingl "npy_spacingl"(long double x) | |
| # Float C99 functions | |
| float sinf "npy_sinf"(float x) | |
| float cosf "npy_cosf"(float x) | |
| float tanf "npy_tanf"(float x) | |
| float sinhf "npy_sinhf"(float x) | |
| float coshf "npy_coshf"(float x) | |
| float tanhf "npy_tanhf"(float x) | |
| float fabsf "npy_fabsf"(float x) | |
| float floorf "npy_floorf"(float x) | |
| float ceilf "npy_ceilf"(float x) | |
| float rintf "npy_rintf"(float x) | |
| float sqrtf "npy_sqrtf"(float x) | |
| float log10f "npy_log10f"(float x) | |
| float logf "npy_logf"(float x) | |
| float expf "npy_expf"(float x) | |
| float expm1f "npy_expm1f"(float x) | |
| float asinf "npy_asinf"(float x) | |
| float acosf "npy_acosf"(float x) | |
| float atanf "npy_atanf"(float x) | |
| float asinhf "npy_asinhf"(float x) | |
| float acoshf "npy_acoshf"(float x) | |
| float atanhf "npy_atanhf"(float x) | |
| float log1pf "npy_log1pf"(float x) | |
| float exp2f "npy_exp2f"(float x) | |
| float log2f "npy_log2f"(float x) | |
| float atan2f "npy_atan2f"(float x, float y) | |
| float hypotf "npy_hypotf"(float x, float y) | |
| float powf "npy_powf"(float x, float y) | |
| float fmodf "npy_fmodf"(float x, float y) | |
| float modff "npy_modff"(float x, float* y) | |
| # Long double C99 functions | |
| long double sinl "npy_sinl"(long double x) | |
| long double cosl "npy_cosl"(long double x) | |
| long double tanl "npy_tanl"(long double x) | |
| long double sinhl "npy_sinhl"(long double x) | |
| long double coshl "npy_coshl"(long double x) | |
| long double tanhl "npy_tanhl"(long double x) | |
| long double fabsl "npy_fabsl"(long double x) | |
| long double floorl "npy_floorl"(long double x) | |
| long double ceill "npy_ceill"(long double x) | |
| long double rintl "npy_rintl"(long double x) | |
| long double sqrtl "npy_sqrtl"(long double x) | |
| long double log10l "npy_log10l"(long double x) | |
| long double logl "npy_logl"(long double x) | |
| long double expl "npy_expl"(long double x) | |
| long double expm1l "npy_expm1l"(long double x) | |
| long double asinl "npy_asinl"(long double x) | |
| long double acosl "npy_acosl"(long double x) | |
| long double atanl "npy_atanl"(long double x) | |
| long double asinhl "npy_asinhl"(long double x) | |
| long double acoshl "npy_acoshl"(long double x) | |
| long double atanhl "npy_atanhl"(long double x) | |
| long double log1pl "npy_log1pl"(long double x) | |
| long double exp2l "npy_exp2l"(long double x) | |
| long double log2l "npy_log2l"(long double x) | |
| long double atan2l "npy_atan2l"(long double x, long double y) | |
| long double hypotl "npy_hypotl"(long double x, long double y) | |
| long double powl "npy_powl"(long double x, long double y) | |
| long double fmodl "npy_fmodl"(long double x, long double y) | |
| long double modfl "npy_modfl"(long double x, long double* y) | |
| # NumPy extensions | |
| float deg2radf "npy_deg2radf"(float x) | |
| float rad2degf "npy_rad2degf"(float x) | |
| float logaddexpf "npy_logaddexpf"(float x, float y) | |
| float logaddexp2f "npy_logaddexp2f"(float x, float y) | |
| double deg2rad "npy_deg2rad"(double x) | |
| double rad2deg "npy_rad2deg"(double x) | |
| double logaddexp "npy_logaddexp"(double x, double y) | |
| double logaddexp2 "npy_logaddexp2"(double x, double y) | |
| long double deg2radl "npy_deg2radl"(long double x) | |
| long double rad2degl "npy_rad2degl"(long double x) | |
| long double logaddexpl "npy_logaddexpl"(long double x, long double y) | |
| long double logaddexp2l "npy_logaddexp2l"(long double x, long double y) | |