| cdef extern from "<cmath>" namespace "std" nogil: | |
| # all C99 functions | |
| float acos(float x) except + | |
| double acos(double x) except + | |
| long double acos(long double x) except + | |
| float acosf(float x) except + | |
| long double acosl(long double x) except + | |
| float asin(float x) except + | |
| double asin(double x) except + | |
| long double asin(long double x) except + | |
| float asinf(float x) except + | |
| long double asinl(long double x) except + | |
| float atan(float x) except + | |
| double atan(double x) except + | |
| long double atan(long double x) except + | |
| float atanf(float x) except + | |
| long double atanl(long double x) except + | |
| float atan2(float y, float x) except + | |
| double atan2(double y, double x) except + | |
| long double atan2(long double y, long double x) except + | |
| float atan2f(float y, float x) except + | |
| long double atan2l(long double y, long double x) except + | |
| float cos(float x) except + | |
| double cos(double x) except + | |
| long double cos(long double x) except + | |
| float cosf(float x) except + | |
| long double cosl(long double x) except + | |
| float sin(float x) except + | |
| double sin(double x) except + | |
| long double sin(long double x) except + | |
| float sinf(float x) except + | |
| long double sinl(long double x) except + | |
| float tan(float x) except + | |
| double tan(double x) except + | |
| long double tan(long double x) except + | |
| float tanf(float x) except + | |
| long double tanl(long double x) except + | |
| float acosh(float x) except + | |
| double acosh(double x) except + | |
| long double acosh(long double x) except + | |
| float acoshf(float x) except + | |
| long double acoshl(long double x) except + | |
| float asinh(float x) except + | |
| double asinh(double x) except + | |
| long double asinh(long double x) except + | |
| float asinhf(float x) except + | |
| long double asinhl(long double x) except + | |
| float atanh(float x) except + | |
| double atanh(double x) except + | |
| long double atanh(long double x) except + | |
| float atanhf(float x) except + | |
| long double atanhl(long double x) except + | |
| float cosh(float x) except + | |
| double cosh(double x) except + | |
| long double cosh(long double x) except + | |
| float coshf(float x) except + | |
| long double coshl(long double x) except + | |
| float sinh(float x) except + | |
| double sinh(double x) except + | |
| long double sinh(long double x) except + | |
| float sinhf(float x) except + | |
| long double sinhl(long double x) except + | |
| float tanh(float x) except + | |
| double tanh(double x) except + | |
| long double tanh(long double x) except + | |
| float tanhf(float x) except + | |
| long double tanhl(long double x) except + | |
| float exp(float x) except + | |
| double exp(double x) except + | |
| long double exp(long double x) except + | |
| float expf(float x) except + | |
| long double expl(long double x) except + | |
| float exp2(float x) except + | |
| double exp2(double x) except + | |
| long double exp2(long double x) except + | |
| float exp2f(float x) except + | |
| long double exp2l(long double x) except + | |
| float expm1(float x) except + | |
| double expm1(double x) except + | |
| long double expm1(long double x) except + | |
| float expm1f(float x) except + | |
| long double expm1l(long double x) except + | |
| float frexp(float value, int* exp) except + | |
| double frexp(double value, int* exp) except + | |
| long double frexp(long double value, int* exp) except + | |
| float frexpf(float value, int* exp) except + | |
| long double frexpl(long double value, int* exp) except + | |
| int ilogb(float x) except + | |
| int ilogb(double x) except + | |
| int ilogb(long double x) except + | |
| int ilogbf(float x) except + | |
| int ilogbl(long double x) except + | |
| float ldexp(float x, int exp) except + | |
| double ldexp(double x, int exp) except + | |
| long double ldexp(long double x, int exp) except + | |
| float ldexpf(float x, int exp) except + | |
| long double ldexpl(long double x, int exp) except + | |
| float log(float x) except + | |
| double log(double x) except + | |
| long double log(long double x) except + | |
| float logf(float x) except + | |
| long double logl(long double x) except + | |
| float log10(float x) except + | |
| double log10(double x) except + | |
| long double log10(long double x) except + | |
| float log10f(float x) except + | |
| long double log10l(long double x) except + | |
| float log1p(float x) except + | |
| double log1p(double x) except + | |
| long double log1p(long double x) except + | |
| float log1pf(float x) except + | |
| long double log1pl(long double x) except + | |
| float log2(float x) except + | |
| double log2(double x) except + | |
| long double log2(long double x) except + | |
| float log2f(float x) except + | |
| long double log2l(long double x) except + | |
| float logb(float x) except + | |
| double logb(double x) except + | |
| long double logb(long double x) except + | |
| float logbf(float x) except + | |
| long double logbl(long double x) except + | |
| float modf(float value, float* iptr) except + | |
| double modf(double value, double* iptr) except + | |
| long double modf(long double value, long double* iptr) except + | |
| float modff(float value, float* iptr) except + | |
| long double modfl(long double value, long double* iptr) except + | |
| float scalbn(float x, int n) except + | |
| double scalbn(double x, int n) except + | |
| long double scalbn(long double x, int n) except + | |
| float scalbnf(float x, int n) except + | |
| long double scalbnl(long double x, int n) except + | |
| float scalbln(float x, long int n) except + | |
| double scalbln(double x, long int n) except + | |
| long double scalbln(long double x, long int n) except + | |
| float scalblnf(float x, long int n) except + | |
| long double scalblnl(long double x, long int n) except + | |
| float cbrt(float x) except + | |
| double cbrt(double x) except + | |
| long double cbrt(long double x) except + | |
| float cbrtf(float x) except + | |
| long double cbrtl(long double x) except + | |
| # absolute values | |
| int abs(int j) except + | |
| long int abs(long int j) except + | |
| long long int abs(long long int j) except + | |
| float abs(float j) except + | |
| double abs(double j) except + | |
| long double abs(long double j) except + | |
| float fabs(float x) except + | |
| double fabs(double x) except + | |
| long double fabs(long double x) except + | |
| float fabsf(float x) except + | |
| long double fabsl(long double x) except + | |
| float hypot(float x, float y) except + | |
| double hypot(double x, double y) except + | |
| long double hypot(long double x, long double y) except + | |
| float hypotf(float x, float y) except + | |
| long double hypotl(long double x, long double y) except + | |
| # C++17 three-dimensional hypotenuse | |
| float hypot(float x, float y, float z) except + | |
| double hypot(double x, double y, double z) except + | |
| long double hypot(long double x, long double y, long double z) except + | |
| float pow(float x, float y) except + | |
| double pow(double x, double y) except + | |
| long double pow(long double x, long double y) except + | |
| float powf(float x, float y) except + | |
| long double powl(long double x, long double y) except + | |
| float sqrt(float x) except + | |
| double sqrt(double x) except + | |
| long double sqrt(long double x) except + | |
| float sqrtf(float x) except + | |
| long double sqrtl(long double x) except + | |
| float erf(float x) except + | |
| double erf(double x) except + | |
| long double erf(long double x) except + | |
| float erff(float x) except + | |
| long double erfl(long double x) except + | |
| float erfc(float x) except + | |
| double erfc(double x) except + | |
| long double erfc(long double x) except + | |
| float erfcf(float x) except + | |
| long double erfcl(long double x) except + | |
| float lgamma(float x) except + | |
| double lgamma(double x) except + | |
| long double lgamma(long double x) except + | |
| float lgammaf(float x) except + | |
| long double lgammal(long double x) except + | |
| float tgamma(float x) except + | |
| double tgamma(double x) except + | |
| long double tgamma(long double x) except + | |
| float tgammaf(float x) except + | |
| long double tgammal(long double x) except + | |
| float ceil(float x) except + | |
| double ceil(double x) except + | |
| long double ceil(long double x) except + | |
| float ceilf(float x) except + | |
| long double ceill(long double x) except + | |
| float floor(float x) except + | |
| double floor(double x) except + | |
| long double floor(long double x) except + | |
| float floorf(float x) except + | |
| long double floorl(long double x) except + | |
| float nearbyint(float x) except + | |
| double nearbyint(double x) except + | |
| long double nearbyint(long double x) except + | |
| float nearbyintf(float x) except + | |
| long double nearbyintl(long double x) except + | |
| float rint(float x) except + | |
| double rint(double x) except + | |
| long double rint(long double x) except + | |
| float rintf(float x) except + | |
| long double rintl(long double x) except + | |
| long int lrint(float x) except + | |
| long int lrint(double x) except + | |
| long int lrint(long double x) except + | |
| long int lrintf(float x) except + | |
| long int lrintl(long double x) except + | |
| long long int llrint(float x) except + | |
| long long int llrint(double x) except + | |
| long long int llrint(long double x) except + | |
| long long int llrintf(float x) except + | |
| long long int llrintl(long double x) except + | |
| float round(float x) except + | |
| double round(double x) except + | |
| long double round(long double x) except + | |
| float roundf(float x) except + | |
| long double roundl(long double x) except + | |
| long int lround(float x) except + | |
| long int lround(double x) except + | |
| long int lround(long double x) except + | |
| long int lroundf(float x) except + | |
| long int lroundl(long double x) except + | |
| long long int llround(float x) except + | |
| long long int llround(double x) except + | |
| long long int llround(long double x) except + | |
| long long int llroundf(float x) except + | |
| long long int llroundl(long double x) except + | |
| float trunc(float x) except + | |
| double trunc(double x) except + | |
| long double trunc(long double x) except + | |
| float truncf(float x) except + | |
| long double truncl(long double x) except + | |
| float fmod(float x, float y) except + | |
| double fmod(double x, double y) except + | |
| long double fmod(long double x, long double y) except + | |
| float fmodf(float x, float y) except + | |
| long double fmodl(long double x, long double y) except + | |
| float remainder(float x, float y) except + | |
| double remainder(double x, double y) except + | |
| long double remainder(long double x, long double y) except + | |
| float remainderf(float x, float y) except + | |
| long double remainderl(long double x, long double y) except + | |
| float remquo(float x, float y, int* quo) except + | |
| double remquo(double x, double y, int* quo) except + | |
| long double remquo(long double x, long double y, int* quo) except + | |
| float remquof(float x, float y, int* quo) except + | |
| long double remquol(long double x, long double y, int* quo) except + | |
| float copysign(float x, float y) except + | |
| double copysign(double x, double y) except + | |
| long double copysign(long double x, long double y) except + | |
| float copysignf(float x, float y) except + | |
| long double copysignl(long double x, long double y) except + | |
| double nan(const char* tagp) except + | |
| float nanf(const char* tagp) except + | |
| long double nanl(const char* tagp) except + | |
| float nextafter(float x, float y) except + | |
| double nextafter(double x, double y) except + | |
| long double nextafter(long double x, long double y) except + | |
| float nextafterf(float x, float y) except + | |
| long double nextafterl(long double x, long double y) except + | |
| float nexttoward(float x, long double y) except + | |
| double nexttoward(double x, long double y) except + | |
| long double nexttoward(long double x, long double y) except + | |
| float nexttowardf(float x, long double y) except + | |
| long double nexttowardl(long double x, long double y) except + | |
| float fdim(float x, float y) except + | |
| double fdim(double x, double y) except + | |
| long double fdim(long double x, long double y) except + | |
| float fdimf(float x, float y) except + | |
| long double fdiml(long double x, long double y) except + | |
| float fmax(float x, float y) except + | |
| double fmax(double x, double y) except + | |
| long double fmax(long double x, long double y) except + | |
| float fmaxf(float x, float y) except + | |
| long double fmaxl(long double x, long double y) except + | |
| float fmin(float x, float y) except + | |
| double fmin(double x, double y) except + | |
| long double fmin(long double x, long double y) except + | |
| float fminf(float x, float y) except + | |
| long double fminl(long double x, long double y) except + | |
| float fma(float x, float y, float z) except + | |
| double fma(double x, double y, double z) except + | |
| long double fma(long double x, long double y, long double z) except + | |
| float fmaf(float x, float y, float z) except + | |
| long double fmal(long double x, long double y, long double z) except + | |
| # C++20 linear interpolation | |
| float lerp(float a, float b, float t) | |
| double lerp(double a, double b, double t) | |
| long double lerp(long double a, long double b, long double t) | |
| # classification / comparison functions | |
| int fpclassify(float x) except + | |
| int fpclassify(double x) except + | |
| int fpclassify(long double x) except + | |
| bint isfinite(float x) except + | |
| bint isfinite(double x) except + | |
| bint isfinite(long double x) except + | |
| bint isinf(float x) except + | |
| bint isinf(double x) except + | |
| bint isinf(long double x) except + | |
| bint isnan(float x) except + | |
| bint isnan(double x) except + | |
| bint isnan(long double x) except + | |
| bint isnormal(float x) except + | |
| bint isnormal(double x) except + | |
| bint isnormal(long double x) except + | |
| bint signbit(float x) except + | |
| bint signbit(double x) except + | |
| bint signbit(long double x) except + | |
| bint isgreater(float x, float y) except + | |
| bint isgreater(double x, double y) except + | |
| bint isgreater(long double x, long double y) except + | |
| bint isgreaterequal(float x, float y) except + | |
| bint isgreaterequal(double x, double y) except + | |
| bint isgreaterequal(long double x, long double y) except + | |
| bint isless(float x, float y) except + | |
| bint isless(double x, double y) except + | |
| bint isless(long double x, long double y) except + | |
| bint islessequal(float x, float y) except + | |
| bint islessequal(double x, double y) except + | |
| bint islessequal(long double x, long double y) except + | |
| bint islessgreater(float x, float y) except + | |
| bint islessgreater(double x, double y) except + | |
| bint islessgreater(long double x, long double y) except + | |
| bint isunordered(float x, float y) except + | |
| bint isunordered(double x, double y) except + | |
| bint isunordered(long double x, long double y) except + | |
| # C++17 mathematical special functions | |
| # associated Laguerre polynomials | |
| double assoc_laguerre(unsigned int n, unsigned int m, double x) except + | |
| float assoc_laguerref(unsigned int n, unsigned int m, float x) except + | |
| long double assoc_laguerrel(unsigned int n, unsigned int m, long double x) except + | |
| # associated Legendre functions | |
| double assoc_legendre(unsigned int l, unsigned int m, double x) except + | |
| float assoc_legendref(unsigned int l, unsigned int m, float x) except + | |
| long double assoc_legendrel(unsigned int l, unsigned int m, long double x) except + | |
| # beta function | |
| double beta(double x, double y) except + | |
| float betaf(float x, float y) except + | |
| long double betal(long double x, long double y) except + | |
| # complete elliptic integral of the first kind | |
| double comp_ellint_1(double k) except + | |
| float comp_ellint_1f(float k) except + | |
| long double comp_ellint_1l(long double k) except + | |
| # complete elliptic integral of the second kind | |
| double comp_ellint_2(double k) except + | |
| float comp_ellint_2f(float k) except + | |
| long double comp_ellint_2l(long double k) except + | |
| # complete elliptic integral of the third kind | |
| double comp_ellint_3(double k, double nu) except + | |
| float comp_ellint_3f(float k, float nu) except + | |
| long double comp_ellint_3l(long double k, long double nu) except + | |
| # regular modified cylindrical Bessel functions | |
| double cyl_bessel_i(double nu, double x) except + | |
| float cyl_bessel_if(float nu, float x) except + | |
| long double cyl_bessel_il(long double nu, long double x) except + | |
| # cylindrical Bessel functions of the first kind | |
| double cyl_bessel_j(double nu, double x) except + | |
| float cyl_bessel_jf(float nu, float x) except + | |
| long double cyl_bessel_jl(long double nu, long double x) except + | |
| # irregular modified cylindrical Bessel functions | |
| double cyl_bessel_k(double nu, double x) except + | |
| float cyl_bessel_kf(float nu, float x) except + | |
| long double cyl_bessel_kl(long double nu, long double x) except + | |
| # cylindrical Neumann functions | |
| # cylindrical Bessel functions of the second kind | |
| double cyl_neumann(double nu, double x) except + | |
| float cyl_neumannf(float nu, float x) except + | |
| long double cyl_neumannl(long double nu, long double x) except + | |
| # incomplete elliptic integral of the first kind | |
| double ellint_1(double k, double phi) except + | |
| float ellint_1f(float k, float phi) except + | |
| long double ellint_1l(long double k, long double phi) except + | |
| # incomplete elliptic integral of the second kind | |
| double ellint_2(double k, double phi) except + | |
| float ellint_2f(float k, float phi) except + | |
| long double ellint_2l(long double k, long double phi) except + | |
| # incomplete elliptic integral of the third kind | |
| double ellint_3(double k, double nu, double phi) except + | |
| float ellint_3f(float k, float nu, float phi) except + | |
| long double ellint_3l(long double k, long double nu, long double phi) except + | |
| # exponential integral | |
| double expint(double x) except + | |
| float expintf(float x) except + | |
| long double expintl(long double x) except + | |
| # Hermite polynomials | |
| double hermite(unsigned int n, double x) except + | |
| float hermitef(unsigned int n, float x) except + | |
| long double hermitel(unsigned int n, long double x) except + | |
| # Laguerre polynomials | |
| double laguerre(unsigned int n, double x) except + | |
| float laguerref(unsigned int n, float x) except + | |
| long double laguerrel(unsigned int n, long double x) except + | |
| # Legendre polynomials | |
| double legendre(unsigned int l, double x) except + | |
| float legendref(unsigned int l, float x) except + | |
| long double legendrel(unsigned int l, long double x) except + | |
| # Riemann zeta function | |
| double riemann_zeta(double x) except + | |
| float riemann_zetaf(float x) except + | |
| long double riemann_zetal(long double x) except + | |
| # spherical Bessel functions of the first kind | |
| double sph_bessel(unsigned int n, double x) except + | |
| float sph_besself(unsigned int n, float x) except + | |
| long double sph_bessell(unsigned int n, long double x) except + | |
| # spherical associated Legendre functions | |
| double sph_legendre(unsigned int l, unsigned int m, double theta) except + | |
| float sph_legendref(unsigned int l, unsigned int m, float theta) except + | |
| long double sph_legendrel(unsigned int l, unsigned int m, long double theta) except + | |
| # spherical Neumann functions | |
| # spherical Bessel functions of the second kind | |
| double sph_neumann(unsigned int n, double x) except + | |
| float sph_neumannf(unsigned int n, float x) except + | |
| long double sph_neumannl(unsigned int n, long double x) except + | |