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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 +
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