519 lines
20 KiB
Cython
519 lines
20 KiB
Cython
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cdef extern from "<cmath>" namespace "std" nogil:
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# all C99 functions
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float acos(float x) except +
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double acos(double x) except +
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long double acos(long double x) except +
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float acosf(float x) except +
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long double acosl(long double x) except +
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float asin(float x) except +
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double asin(double x) except +
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long double asin(long double x) except +
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float asinf(float x) except +
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long double asinl(long double x) except +
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float atan(float x) except +
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double atan(double x) except +
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long double atan(long double x) except +
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float atanf(float x) except +
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long double atanl(long double x) except +
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float atan2(float y, float x) except +
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double atan2(double y, double x) except +
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long double atan2(long double y, long double x) except +
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float atan2f(float y, float x) except +
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long double atan2l(long double y, long double x) except +
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float cos(float x) except +
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double cos(double x) except +
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long double cos(long double x) except +
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float cosf(float x) except +
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long double cosl(long double x) except +
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float sin(float x) except +
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double sin(double x) except +
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long double sin(long double x) except +
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float sinf(float x) except +
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long double sinl(long double x) except +
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float tan(float x) except +
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double tan(double x) except +
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long double tan(long double x) except +
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float tanf(float x) except +
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long double tanl(long double x) except +
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float acosh(float x) except +
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double acosh(double x) except +
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long double acosh(long double x) except +
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float acoshf(float x) except +
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long double acoshl(long double x) except +
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float asinh(float x) except +
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double asinh(double x) except +
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long double asinh(long double x) except +
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float asinhf(float x) except +
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long double asinhl(long double x) except +
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float atanh(float x) except +
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double atanh(double x) except +
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long double atanh(long double x) except +
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float atanhf(float x) except +
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long double atanhl(long double x) except +
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float cosh(float x) except +
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double cosh(double x) except +
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long double cosh(long double x) except +
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float coshf(float x) except +
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long double coshl(long double x) except +
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float sinh(float x) except +
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double sinh(double x) except +
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long double sinh(long double x) except +
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float sinhf(float x) except +
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long double sinhl(long double x) except +
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float tanh(float x) except +
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double tanh(double x) except +
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long double tanh(long double x) except +
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float tanhf(float x) except +
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long double tanhl(long double x) except +
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float exp(float x) except +
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double exp(double x) except +
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long double exp(long double x) except +
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float expf(float x) except +
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long double expl(long double x) except +
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float exp2(float x) except +
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double exp2(double x) except +
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long double exp2(long double x) except +
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float exp2f(float x) except +
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long double exp2l(long double x) except +
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float expm1(float x) except +
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double expm1(double x) except +
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long double expm1(long double x) except +
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float expm1f(float x) except +
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long double expm1l(long double x) except +
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float frexp(float value, int* exp) except +
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double frexp(double value, int* exp) except +
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long double frexp(long double value, int* exp) except +
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float frexpf(float value, int* exp) except +
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long double frexpl(long double value, int* exp) except +
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int ilogb(float x) except +
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int ilogb(double x) except +
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int ilogb(long double x) except +
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int ilogbf(float x) except +
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int ilogbl(long double x) except +
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float ldexp(float x, int exp) except +
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double ldexp(double x, int exp) except +
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long double ldexp(long double x, int exp) except +
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float ldexpf(float x, int exp) except +
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long double ldexpl(long double x, int exp) except +
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float log(float x) except +
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double log(double x) except +
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long double log(long double x) except +
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float logf(float x) except +
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long double logl(long double x) except +
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float log10(float x) except +
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double log10(double x) except +
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long double log10(long double x) except +
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float log10f(float x) except +
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long double log10l(long double x) except +
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float log1p(float x) except +
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double log1p(double x) except +
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long double log1p(long double x) except +
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float log1pf(float x) except +
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long double log1pl(long double x) except +
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float log2(float x) except +
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double log2(double x) except +
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long double log2(long double x) except +
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float log2f(float x) except +
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long double log2l(long double x) except +
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float logb(float x) except +
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double logb(double x) except +
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long double logb(long double x) except +
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float logbf(float x) except +
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long double logbl(long double x) except +
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float modf(float value, float* iptr) except +
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double modf(double value, double* iptr) except +
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long double modf(long double value, long double* iptr) except +
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float modff(float value, float* iptr) except +
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long double modfl(long double value, long double* iptr) except +
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float scalbn(float x, int n) except +
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double scalbn(double x, int n) except +
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long double scalbn(long double x, int n) except +
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float scalbnf(float x, int n) except +
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long double scalbnl(long double x, int n) except +
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float scalbln(float x, long int n) except +
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double scalbln(double x, long int n) except +
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long double scalbln(long double x, long int n) except +
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float scalblnf(float x, long int n) except +
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long double scalblnl(long double x, long int n) except +
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float cbrt(float x) except +
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double cbrt(double x) except +
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long double cbrt(long double x) except +
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float cbrtf(float x) except +
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long double cbrtl(long double x) except +
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# absolute values
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int abs(int j) except +
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long int abs(long int j) except +
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long long int abs(long long int j) except +
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float abs(float j) except +
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double abs(double j) except +
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long double abs(long double j) except +
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float fabs(float x) except +
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double fabs(double x) except +
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long double fabs(long double x) except +
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float fabsf(float x) except +
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long double fabsl(long double x) except +
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float hypot(float x, float y) except +
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double hypot(double x, double y) except +
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long double hypot(long double x, long double y) except +
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float hypotf(float x, float y) except +
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long double hypotl(long double x, long double y) except +
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# C++17 three-dimensional hypotenuse
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float hypot(float x, float y, float z) except +
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double hypot(double x, double y, double z) except +
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long double hypot(long double x, long double y, long double z) except +
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float pow(float x, float y) except +
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double pow(double x, double y) except +
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long double pow(long double x, long double y) except +
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float powf(float x, float y) except +
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long double powl(long double x, long double y) except +
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float sqrt(float x) except +
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double sqrt(double x) except +
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long double sqrt(long double x) except +
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float sqrtf(float x) except +
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long double sqrtl(long double x) except +
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float erf(float x) except +
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double erf(double x) except +
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long double erf(long double x) except +
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float erff(float x) except +
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long double erfl(long double x) except +
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float erfc(float x) except +
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double erfc(double x) except +
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long double erfc(long double x) except +
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float erfcf(float x) except +
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long double erfcl(long double x) except +
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float lgamma(float x) except +
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double lgamma(double x) except +
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long double lgamma(long double x) except +
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float lgammaf(float x) except +
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long double lgammal(long double x) except +
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float tgamma(float x) except +
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double tgamma(double x) except +
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long double tgamma(long double x) except +
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float tgammaf(float x) except +
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long double tgammal(long double x) except +
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float ceil(float x) except +
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double ceil(double x) except +
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long double ceil(long double x) except +
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float ceilf(float x) except +
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long double ceill(long double x) except +
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float floor(float x) except +
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double floor(double x) except +
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long double floor(long double x) except +
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float floorf(float x) except +
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long double floorl(long double x) except +
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float nearbyint(float x) except +
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double nearbyint(double x) except +
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long double nearbyint(long double x) except +
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float nearbyintf(float x) except +
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long double nearbyintl(long double x) except +
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float rint(float x) except +
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double rint(double x) except +
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long double rint(long double x) except +
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float rintf(float x) except +
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long double rintl(long double x) except +
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long int lrint(float x) except +
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long int lrint(double x) except +
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long int lrint(long double x) except +
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long int lrintf(float x) except +
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long int lrintl(long double x) except +
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long long int llrint(float x) except +
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long long int llrint(double x) except +
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long long int llrint(long double x) except +
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long long int llrintf(float x) except +
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long long int llrintl(long double x) except +
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float round(float x) except +
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double round(double x) except +
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long double round(long double x) except +
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float roundf(float x) except +
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long double roundl(long double x) except +
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long int lround(float x) except +
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long int lround(double x) except +
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long int lround(long double x) except +
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long int lroundf(float x) except +
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long int lroundl(long double x) except +
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long long int llround(float x) except +
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long long int llround(double x) except +
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long long int llround(long double x) except +
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long long int llroundf(float x) except +
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long long int llroundl(long double x) except +
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float trunc(float x) except +
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double trunc(double x) except +
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long double trunc(long double x) except +
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float truncf(float x) except +
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long double truncl(long double x) except +
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float fmod(float x, float y) except +
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double fmod(double x, double y) except +
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long double fmod(long double x, long double y) except +
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float fmodf(float x, float y) except +
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long double fmodl(long double x, long double y) except +
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float remainder(float x, float y) except +
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double remainder(double x, double y) except +
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long double remainder(long double x, long double y) except +
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float remainderf(float x, float y) except +
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long double remainderl(long double x, long double y) except +
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float remquo(float x, float y, int* quo) except +
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double remquo(double x, double y, int* quo) except +
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long double remquo(long double x, long double y, int* quo) except +
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float remquof(float x, float y, int* quo) except +
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long double remquol(long double x, long double y, int* quo) except +
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float copysign(float x, float y) except +
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double copysign(double x, double y) except +
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long double copysign(long double x, long double y) except +
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float copysignf(float x, float y) except +
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long double copysignl(long double x, long double y) except +
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double nan(const char* tagp) except +
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float nanf(const char* tagp) except +
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long double nanl(const char* tagp) except +
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float nextafter(float x, float y) except +
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double nextafter(double x, double y) except +
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long double nextafter(long double x, long double y) except +
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float nextafterf(float x, float y) except +
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long double nextafterl(long double x, long double y) except +
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float nexttoward(float x, long double y) except +
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double nexttoward(double x, long double y) except +
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long double nexttoward(long double x, long double y) except +
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float nexttowardf(float x, long double y) except +
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long double nexttowardl(long double x, long double y) except +
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float fdim(float x, float y) except +
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double fdim(double x, double y) except +
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long double fdim(long double x, long double y) except +
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float fdimf(float x, float y) except +
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long double fdiml(long double x, long double y) except +
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float fmax(float x, float y) except +
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double fmax(double x, double y) except +
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long double fmax(long double x, long double y) except +
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float fmaxf(float x, float y) except +
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long double fmaxl(long double x, long double y) except +
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float fmin(float x, float y) except +
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double fmin(double x, double y) except +
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long double fmin(long double x, long double y) except +
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float fminf(float x, float y) except +
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long double fminl(long double x, long double y) except +
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float fma(float x, float y, float z) except +
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double fma(double x, double y, double z) except +
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long double fma(long double x, long double y, long double z) except +
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|
|
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 +
|