/* * ==================================================== * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this * software is freely granted, provided that this notice * is preserved. * ==================================================== */ /* * from: @(#)fdlibm.h 5.1 93/09/24 * $FreeBSD$ */ #ifndef _MATH_H_ #define _MATH_H_ #include #include #include /* * ANSI/POSIX */ extern const union __infinity_un { unsigned char __uc[8]; double __ud; } __infinity; extern const union __nan_un { unsigned char __uc[sizeof(float)]; float __uf; } __nan; #if __GNUC_PREREQ__(3, 3) #define __MATH_BUILTIN_CONSTANTS #endif #if __GNUC_PREREQ__(3, 0) #define __MATH_BUILTIN_RELOPS #endif #ifdef __MATH_BUILTIN_CONSTANTS #define HUGE_VAL __builtin_huge_val() #else #define HUGE_VAL (__infinity.__ud) #endif #if __ISO_C_VISIBLE >= 1999 #define FP_ILOGB0 (-__INT_MAX) #define FP_ILOGBNAN __INT_MAX #ifdef __MATH_BUILTIN_CONSTANTS #define HUGE_VALF __builtin_huge_valf() #define HUGE_VALL __builtin_huge_vall() #define INFINITY __builtin_inff() #define NAN __builtin_nanf("") #else #define HUGE_VALF (float)HUGE_VAL #define HUGE_VALL (long double)HUGE_VAL #define INFINITY HUGE_VALF #define NAN (__nan.__uf) #endif /* __MATH_BUILTIN_CONSTANTS */ #define MATH_ERRNO 1 #define MATH_ERREXCEPT 2 #define math_errhandling MATH_ERREXCEPT #define FP_FAST_FMAF 1 /* Symbolic constants to classify floating point numbers. */ #define FP_INFINITE 0x01 #define FP_NAN 0x02 #define FP_NORMAL 0x04 #define FP_SUBNORMAL 0x08 #define FP_ZERO 0x10 #if __STDC_VERSION__ >= 201112L || __has_extension(c_generic_selections) #define __fp_type_select(x, f, d, ld) __extension__ _Generic((x), \ float: f(x), \ double: d(x), \ long double: ld(x), \ volatile float: f(x), \ volatile double: d(x), \ volatile long double: ld(x), \ volatile const float: f(x), \ volatile const double: d(x), \ volatile const long double: ld(x), \ const float: f(x), \ const double: d(x), \ const long double: ld(x)) #elif __GNUC_PREREQ__(3, 1) && !defined(__cplusplus) #define __fp_type_select(x, f, d, ld) __builtin_choose_expr( \ __builtin_types_compatible_p(__typeof(x), long double), ld(x), \ __builtin_choose_expr( \ __builtin_types_compatible_p(__typeof(x), double), d(x), \ __builtin_choose_expr( \ __builtin_types_compatible_p(__typeof(x), float), f(x), (void)0))) #else #define __fp_type_select(x, f, d, ld) \ ((sizeof(x) == sizeof(float)) ? f(x) \ : (sizeof(x) == sizeof(double)) ? d(x) \ : ld(x)) #endif #define fpclassify(x) \ __fp_type_select(x, __fpclassifyf, __fpclassifyd, __fpclassifyl) #define isfinite(x) __fp_type_select(x, __isfinitef, __isfinite, __isfinitel) #define isinf(x) __fp_type_select(x, __isinff, __isinf, __isinfl) #define isnan(x) \ __fp_type_select(x, __inline_isnanf, __inline_isnan, __inline_isnanl) #define isnormal(x) __fp_type_select(x, __isnormalf, __isnormal, __isnormall) #ifdef __MATH_BUILTIN_RELOPS #define isgreater(x, y) __builtin_isgreater((x), (y)) #define isgreaterequal(x, y) __builtin_isgreaterequal((x), (y)) #define isless(x, y) __builtin_isless((x), (y)) #define islessequal(x, y) __builtin_islessequal((x), (y)) #define islessgreater(x, y) __builtin_islessgreater((x), (y)) #define isunordered(x, y) __builtin_isunordered((x), (y)) #else #define isgreater(x, y) (!isunordered((x), (y)) && (x) > (y)) #define isgreaterequal(x, y) (!isunordered((x), (y)) && (x) >= (y)) #define isless(x, y) (!isunordered((x), (y)) && (x) < (y)) #define islessequal(x, y) (!isunordered((x), (y)) && (x) <= (y)) #define islessgreater(x, y) (!isunordered((x), (y)) && \ ((x) > (y) || (y) > (x))) #define isunordered(x, y) (isnan(x) || isnan(y)) #endif /* __MATH_BUILTIN_RELOPS */ #define signbit(x) __fp_type_select(x, __signbitf, __signbit, __signbitl) typedef __double_t double_t; typedef __float_t float_t; #endif /* __ISO_C_VISIBLE >= 1999 */ /* * XOPEN/SVID */ #if __BSD_VISIBLE || __XSI_VISIBLE #define M_E 2.7182818284590452354 /* e */ #define M_LOG2E 1.4426950408889634074 /* log 2e */ #define M_LOG10E 0.43429448190325182765 /* log 10e */ #define M_LN2 0.69314718055994530942 /* log e2 */ #define M_LN10 2.30258509299404568402 /* log e10 */ #define M_PI 3.14159265358979323846 /* pi */ #define M_PI_2 1.57079632679489661923 /* pi/2 */ #define M_PI_4 0.78539816339744830962 /* pi/4 */ #define M_1_PI 0.31830988618379067154 /* 1/pi */ #define M_2_PI 0.63661977236758134308 /* 2/pi */ #define M_2_SQRTPI 1.12837916709551257390 /* 2/sqrt(pi) */ #define M_SQRT2 1.41421356237309504880 /* sqrt(2) */ #define M_SQRT1_2 0.70710678118654752440 /* 1/sqrt(2) */ #define MAXFLOAT ((float)3.40282346638528860e+38) extern int signgam; #endif /* __BSD_VISIBLE || __XSI_VISIBLE */ #if __BSD_VISIBLE #if 0 /* Old value from 4.4BSD-Lite math.h; this is probably better. */ #define HUGE HUGE_VAL #else #define HUGE MAXFLOAT #endif #endif /* __BSD_VISIBLE */ /* * Most of these functions depend on the rounding mode and have the side * effect of raising floating-point exceptions, so they are not declared * as __pure2. In C99, FENV_ACCESS affects the purity of these functions. */ __BEGIN_DECLS /* * ANSI/POSIX */ int __fpclassifyd(double) __pure2; int __fpclassifyf(float) __pure2; int __fpclassifyl(long double) __pure2; int __isfinitef(float) __pure2; int __isfinite(double) __pure2; int __isfinitel(long double) __pure2; int __isinff(float) __pure2; int __isinf(double) __pure2; int __isinfl(long double) __pure2; int __isnormalf(float) __pure2; int __isnormal(double) __pure2; int __isnormall(long double) __pure2; int __signbit(double) __pure2; int __signbitf(float) __pure2; int __signbitl(long double) __pure2; static __inline int __inline_isnan(__const double __x) { return (__x != __x); } static __inline int __inline_isnanf(__const float __x) { return (__x != __x); } static __inline int __inline_isnanl(__const long double __x) { return (__x != __x); } /* * Define the following aliases, for compatibility with glibc and CUDA. */ #define __isnan __inline_isnan #define __isnanf __inline_isnanf /* * Version 2 of the Single UNIX Specification (UNIX98) defined isnan() and * isinf() as functions taking double. C99, and the subsequent POSIX revisions * (SUSv3, POSIX.1-2001, define it as a macro that accepts any real floating * point type. If we are targeting SUSv2 and C99 or C11 (or C++11) then we * expose the newer definition, assuming that the language spec takes * precedence over the operating system interface spec. */ #if __XSI_VISIBLE > 0 && __XSI_VISIBLE < 600 && __ISO_C_VISIBLE < 1999 #undef isinf #undef isnan int isinf(double); int isnan(double); #endif double acos(double); double asin(double); double atan(double); double atan2(double, double); double cos(double); double sin(double); double tan(double); double cosh(double); double sinh(double); double tanh(double); double exp(double); double frexp(double, int *); /* fundamentally !__pure2 */ double ldexp(double, int); double log(double); double log10(double); double modf(double, double *); /* fundamentally !__pure2 */ double pow(double, double); double sqrt(double); double ceil(double); double fabs(double) __pure2; double floor(double); double fmod(double, double); /* * These functions are not in C90. */ #if __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XSI_VISIBLE double acosh(double); double asinh(double); double atanh(double); double cbrt(double); double erf(double); double erfc(double); double exp2(double); double expm1(double); double fma(double, double, double); double hypot(double, double); int ilogb(double) __pure2; double lgamma(double); long long llrint(double); long long llround(double); double log1p(double); double log2(double); double logb(double); long lrint(double); long lround(double); double nan(const char *) __pure2; double nextafter(double, double); double remainder(double, double); double remquo(double, double, int *); double rint(double); #endif /* __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XSI_VISIBLE */ #if __BSD_VISIBLE || __XSI_VISIBLE double j0(double); double j1(double); double jn(int, double); double y0(double); double y1(double); double yn(int, double); #if __XSI_VISIBLE <= 500 || __BSD_VISIBLE double gamma(double); #endif #if __XSI_VISIBLE <= 600 || __BSD_VISIBLE double scalb(double, double); #endif #endif /* __BSD_VISIBLE || __XSI_VISIBLE */ #if __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 double copysign(double, double) __pure2; double fdim(double, double); double fmax(double, double) __pure2; double fmin(double, double) __pure2; double nearbyint(double); double round(double); double scalbln(double, long); double scalbn(double, int); double tgamma(double); double trunc(double); #endif /* * BSD math library entry points */ #if __BSD_VISIBLE double drem(double, double); int finite(double) __pure2; int isnanf(float) __pure2; /* * Reentrant version of gamma & lgamma; passes signgam back by reference * as the second argument; user must allocate space for signgam. */ double gamma_r(double, int *); double lgamma_r(double, int *); /* * IEEE Test Vector */ double significand(double); #endif /* __BSD_VISIBLE */ /* float versions of ANSI/POSIX functions */ #if __ISO_C_VISIBLE >= 1999 float acosf(float); float asinf(float); float atanf(float); float atan2f(float, float); float cosf(float); float sinf(float); float tanf(float); float coshf(float); float sinhf(float); float tanhf(float); float exp2f(float); float expf(float); float expm1f(float); float frexpf(float, int *); /* fundamentally !__pure2 */ int ilogbf(float) __pure2; float ldexpf(float, int); float log10f(float); float log1pf(float); float log2f(float); float logf(float); float modff(float, float *); /* fundamentally !__pure2 */ float powf(float, float); float sqrtf(float); float ceilf(float); float fabsf(float) __pure2; float floorf(float); float fmodf(float, float); float roundf(float); float erff(float); float erfcf(float); float hypotf(float, float); float lgammaf(float); float tgammaf(float); float acoshf(float); float asinhf(float); float atanhf(float); float cbrtf(float); float logbf(float); float copysignf(float, float) __pure2; long long llrintf(float); long long llroundf(float); long lrintf(float); long lroundf(float); float nanf(const char *) __pure2; float nearbyintf(float); float nextafterf(float, float); float remainderf(float, float); float remquof(float, float, int *); float rintf(float); float scalblnf(float, long); float scalbnf(float, int); float truncf(float); float fdimf(float, float); float fmaf(float, float, float); float fmaxf(float, float) __pure2; float fminf(float, float) __pure2; #endif /* * float versions of BSD math library entry points */ #if __BSD_VISIBLE float dremf(float, float); int finitef(float) __pure2; float gammaf(float); float j0f(float); float j1f(float); float jnf(int, float); float scalbf(float, float); float y0f(float); float y1f(float); float ynf(int, float); /* * Float versions of reentrant version of gamma & lgamma; passes * signgam back by reference as the second argument; user must * allocate space for signgam. */ float gammaf_r(float, int *); float lgammaf_r(float, int *); /* * float version of IEEE Test Vector */ float significandf(float); #endif /* __BSD_VISIBLE */ /* * long double versions of ISO/POSIX math functions */ #if __ISO_C_VISIBLE >= 1999 long double acoshl(long double); long double acosl(long double); long double asinhl(long double); long double asinl(long double); long double atan2l(long double, long double); long double atanhl(long double); long double atanl(long double); long double cbrtl(long double); long double ceill(long double); long double copysignl(long double, long double) __pure2; long double coshl(long double); long double cosl(long double); long double erfcl(long double); long double erfl(long double); long double exp2l(long double); long double expl(long double); long double expm1l(long double); long double fabsl(long double) __pure2; long double fdiml(long double, long double); long double floorl(long double); long double fmal(long double, long double, long double); long double fmaxl(long double, long double) __pure2; long double fminl(long double, long double) __pure2; long double fmodl(long double, long double); long double frexpl(long double, int *); /* fundamentally !__pure2 */ long double hypotl(long double, long double); int ilogbl(long double) __pure2; long double ldexpl(long double, int); long double lgammal(long double); long long llrintl(long double); long long llroundl(long double); long double log10l(long double); long double log1pl(long double); long double log2l(long double); long double logbl(long double); long double logl(long double); long lrintl(long double); long lroundl(long double); long double modfl(long double, long double *); /* fundamentally !__pure2 */ long double nanl(const char *) __pure2; long double nearbyintl(long double); long double nextafterl(long double, long double); double nexttoward(double, long double); float nexttowardf(float, long double); long double nexttowardl(long double, long double); long double powl(long double, long double); long double remainderl(long double, long double); long double remquol(long double, long double, int *); long double rintl(long double); long double roundl(long double); long double scalblnl(long double, long); long double scalbnl(long double, int); long double sinhl(long double); long double sinl(long double); long double sqrtl(long double); long double tanhl(long double); long double tanl(long double); long double tgammal(long double); long double truncl(long double); #endif /* __ISO_C_VISIBLE >= 1999 */ #if __BSD_VISIBLE long double lgammal_r(long double, int *); void sincos(double, double *, double *); void sincosf(float, float *, float *); void sincosl(long double, long double *, long double *); double cospi(double); float cospif(float); long double cospil(long double); double sinpi(double); float sinpif(float); long double sinpil(long double); double tanpi(double); float tanpif(float); long double tanpil(long double); #endif __END_DECLS #endif /* !_MATH_H_ */