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math.pxd
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math.pxd
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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)