1 /* 2 * Copyright 2001-2009, Haiku. 3 * Distributed under the terms of the MIT License. 4 */ 5 #ifndef _MATH_H_ 6 #define _MATH_H_ 7 8 9 #define M_E 2.7182818284590452354 /* e */ 10 #define M_LOG2E 1.4426950408889634074 /* log 2e */ 11 #define M_LOG10E 0.43429448190325182765 /* log 10e */ 12 #define M_LN2 0.69314718055994530942 /* log e2 */ 13 #define M_LN10 2.30258509299404568402 /* log e10 */ 14 #define M_PI 3.14159265358979323846 /* pi */ 15 #define M_PI_2 1.57079632679489661923 /* pi/2 */ 16 #define M_PI_4 0.78539816339744830962 /* pi/4 */ 17 #define M_1_PI 0.31830988618379067154 /* 1/pi */ 18 #define M_2_PI 0.63661977236758134308 /* 2/pi */ 19 #define M_2_SQRTPI 1.12837916709551257390 /* 2/sqrt(pi) */ 20 #define M_SQRT2 1.41421356237309504880 /* sqrt(2) */ 21 #define M_SQRT1_2 0.70710678118654752440 /* 1/sqrt(2) */ 22 23 /* platform independent IEEE floating point special values */ 24 #define __HUGE_VAL_v 0x7ff0000000000000LL 25 #define __huge_val_t union { unsigned char __c[8]; long long __ll; double __d; } 26 #ifndef HUGE_VAL 27 # define HUGE_VAL (((__huge_val_t) { __ll: __HUGE_VAL_v }).__d) 28 #endif 29 30 #define __HUGE_VALF_v 0x7f800000L 31 #define __huge_valf_t union { unsigned char __c[4]; long __l; float __f; } 32 #define HUGE_VALF (((__huge_valf_t) { __l: __HUGE_VALF_v }).__f) 33 34 /* TODO: define HUGE_VALL for long doubles */ 35 36 #define __NAN_VALF_v 0x7fc00000L 37 #define NAN (((__huge_valf_t) { __l: __NAN_VALF_v }).__f) 38 39 #define INFINITY HUGE_VALF 40 41 /* floating-point categories */ 42 #define FP_NAN 0 43 #define FP_INFINITE 1 44 #define FP_ZERO 2 45 #define FP_SUBNORMAL 3 46 #define FP_NORMAL 4 47 48 #ifdef __cplusplus 49 struct __exception; 50 extern "C" int matherr(struct __exception *); 51 struct __exception { 52 #else 53 struct exception; 54 extern int matherr(struct exception *); 55 struct exception { 56 #endif 57 int type; 58 char *name; 59 double arg1; 60 double arg2; 61 double retval; 62 }; 63 64 #define DOMAIN 1 65 #define SING 2 66 #define OVERFLOW 3 67 #define UNDERFLOW 4 68 #define TLOSS 5 69 #define PLOSS 6 70 71 extern int signgam; 72 73 74 #ifdef __cplusplus 75 extern "C" { 76 #endif 77 78 /* float math functions */ 79 extern float acosf(float x); 80 extern float acoshf(float x); 81 extern float asinf(float x); 82 extern float asinhf(float x); 83 extern float atan2f(float y, float x); 84 extern float atanf(float x); 85 extern float atanhf(float x); 86 extern float cbrtf(float x); 87 extern float ceilf(float x); 88 extern float cosf(float x); 89 extern float coshf(float x); 90 extern float expf(float x); 91 extern float expm1f(float x); 92 extern float fabsf(float x); 93 extern float fdimf(float x, float y); 94 extern float floorf(float x); 95 extern float fmaf(float x, float y, float z); 96 extern float fmaxf(float x, float y); 97 extern float fminf(float x, float y); 98 extern float fmodf(float x, float y); 99 extern float frexpf(float x, int *_exponent); 100 extern float gammaf(float x); 101 extern float hypotf(float x, float y); 102 extern float ldexpf(float x, int exponent); 103 extern float lgammaf(float x); 104 extern long long llrintf(float x); 105 extern long long llroundf(float x); 106 extern float log10f(float x); 107 extern float log1pf(float x); 108 extern float logbf(float x); 109 extern float logf(float x); 110 extern long lrintf(float x); 111 extern long lroundf(float x); 112 extern float modff(float x, float *y); 113 extern float nanf(const char *tagp); 114 extern float nearbyintf(float x); 115 extern float powf(float x, float y); 116 extern float remquof(float x, float y, int *quo); 117 extern float roundf(float x); 118 extern float sinf(float x); 119 extern float sinhf(float x); 120 extern float sqrtf(float x); 121 extern float tanf(float x); 122 extern float tanhf(float x); 123 124 /* double math functions */ 125 extern double acos(double x); 126 extern double acosh(double x); 127 extern double asin(double x); 128 extern double asinh(double x); 129 extern double atan(double x); 130 extern double atan2(double x, double y); 131 extern double atanh(double x); 132 extern double ceil(double x); 133 extern double cos(double x); 134 extern double cosh(double x); 135 extern double exp(double x); 136 extern double fabs(double x); 137 extern double fdim(double x, double y); 138 extern double floor(double x); 139 extern double fma(double x, double y, double z); 140 extern double fmax(double x, double y); 141 extern double fmin(double x, double y); 142 extern double fmod(double x, double y); 143 extern double frexp(double x, int *_exponent); 144 extern double gamma(double x); 145 extern double ldexp(double x, int exponent); 146 extern double lgamma(double x); 147 extern long long llrint(double x); 148 extern long long llround(double x); 149 extern double log(double x); 150 extern double log10(double x); 151 extern long lrint(double x); 152 extern long lround(double x); 153 extern double modf(double x, double *y); 154 extern double nan(const char* tagp); 155 extern double nearbyint(double x); 156 extern double pow(double x, double y); 157 extern double remquo(double x, double y, int *quo); 158 extern double round(double x); 159 extern double sin(double x); 160 extern double sinh(double x); 161 extern double sqrt(double x); 162 extern double tan(double x); 163 extern double tanh(double x); 164 extern double trunc(double x); 165 166 /* long double math functions */ 167 extern long double acosl(long double x); 168 extern long double acoshl(long double x); 169 extern long double asinl(long double x); 170 extern long double atanl(long double x); 171 extern long double atanhl(long double x); 172 extern long double atan2l(long double y, long double x); 173 extern long double ceill(long double x); 174 extern long double cosl(long double x); 175 extern long double coshl(long double x); 176 extern long double expl(long double x); 177 extern long double fabsl(long double x); 178 extern long double fdiml(long double x, long double y); 179 extern long double floorl(long double x); 180 extern long double fmal(long double x, long double y, long double z); 181 extern long double fmaxl(long double x, long double y); 182 extern long double fminl(long double x, long double y); 183 extern long double fmodl(long double x, long double y); 184 extern long double frexpl(long double num, int *exp); 185 extern long double lgammal(long double x); 186 extern long long llrintl(long double x); 187 extern long long llroundl(long double x); 188 extern long lrintl(long double x); 189 extern long lroundl(long double x); 190 extern long double modfl(long double value, long double *iptr); 191 extern long double nanl(const char* tagp); 192 extern long double nearbyintl(long double x); 193 extern long double powl(long double x, long double y); 194 extern long double remquol(long double x, long double y, int *quo); 195 extern long double roundl(long double x); 196 extern long double sinl(long double x); 197 extern long double sinhl(long double x); 198 extern long double sqrtl(long double x); 199 extern long double tanl(long double x); 200 extern long double tanhl(long double x); 201 extern long double truncl(long double x); 202 203 /* some BSD non-ANSI or POSIX math functions */ 204 extern double cbrt(double x); 205 extern double erf(double x); 206 extern double erfc(double x); 207 extern double expm1(double x); 208 extern double gamma_r(double x, int *y); 209 extern double hypot(double x, double y); 210 extern int ilogb(double x); 211 extern double j0(double x); 212 extern double j1(double x); 213 extern double jn(int x, double y); 214 extern double lgamma_r(double x, int *y); 215 extern double log1p(double x); 216 extern double logb(double x); 217 extern double nextafter(double x, double y); 218 extern double nexttoward(double x, long double y); 219 extern double remainder(double x, double y); 220 extern double rint(double x); 221 extern double scalb (double x, double y); 222 extern double y0(double x); 223 extern double y1(double x); 224 extern double yn(int x, double y); 225 226 /* other stuff as defined in BeOS */ 227 extern int isinff(float value); 228 extern int finitef(float value); 229 extern float dremf(float x, float y); 230 extern float significandf(float x); 231 extern float copysignf(float x, float y); 232 extern int isnanf(float value); 233 extern double significand(double x); 234 extern double copysign(double x, double y); 235 extern double scalbln(double x, long n); 236 extern double scalbn(double x, int y); 237 extern double drem(double x, double y); 238 extern int finite(double x); 239 extern float j0f(float x); 240 extern float j1f(float x); 241 extern float jnf(int x, float y); 242 extern float y0f(float x); 243 extern float y1f(float x); 244 extern float ynf(int x, float y); 245 extern float erff(float x); 246 extern float erfcf(float x); 247 extern float gammaf_r(float x, int *y); 248 extern float lgammaf_r(float x, int *y); 249 extern float rintf(float x); 250 extern float nextafterf(float x, float y); 251 extern float nexttowardf(float x, long double y); 252 extern float remainderf(float x, float y); 253 extern float scalbf(float x, float n); 254 extern float scalbnf(float x, int n); 255 extern int ilogbf(float x); 256 257 extern long double erfcl(long double x); 258 extern long double erfl(long double x); 259 extern long double nextafterl(long double x, long double y); 260 extern long double nexttowardl(long double x, long double y); 261 extern long double remainderl(long double x, long double y); 262 extern long double rintl(long double x); 263 extern long double scalbnl(long double x, int n); 264 extern long double scalblnl(long double x, long n); 265 266 /* prototypes for functions used in the macros below */ 267 extern int __fpclassifyf(float value); 268 extern int __signbitf(float value); 269 extern int __finitef(float value); 270 extern int __isnanf(float value); 271 extern int __isinff(float value); 272 273 extern int __fpclassifyl(long double value); 274 extern int __signbitl(long double value); 275 extern int __finitel(long double value); 276 extern int __isnanl(long double value); 277 extern int __isinfl(long double value); 278 279 extern int __fpclassify(double value); 280 extern int __signbit(double value); 281 extern int __finite(double value); 282 extern int __isnan(double value); 283 extern int __isinf(double value); 284 285 /* returns number of classification appropriate for 'value' */ 286 #define fpclassify(value) \ 287 (sizeof(value) == sizeof(float) ? __fpclassifyf(value) \ 288 : sizeof(value) == sizeof(double) ? __fpclassify(value) \ 289 : __fpclassifyl(value)) 290 291 /* returns non-zero if 'value' is negative */ 292 # define signbit(value) \ 293 (sizeof(value) == sizeof(float) ? __signbitf(value) \ 294 : sizeof(value) == sizeof(double) ? __signbit(value) \ 295 : __signbitl(value)) 296 297 /* returns non-zero if 'value' is not Inf or NaN */ 298 # define isfinite(value) \ 299 (sizeof(value) == sizeof(float) ? __finitef(value) \ 300 : sizeof(value) == sizeof(double) ? __finite(value) \ 301 : __finitel(value)) 302 303 /* returns non-zero if 'value' is neither zero, sub-normal, Inf, nor NaN */ 304 # define isnormal(value) \ 305 (fpclassify(value) == FP_NORMAL) 306 307 /* returns non-zero if 'value' is NaN */ 308 # define isnan(value) \ 309 (sizeof(value) == sizeof(float) ? __isnanf(value) \ 310 : sizeof(value) == sizeof(double) ? __isnan(value) \ 311 : __isnanl(value)) 312 313 /* returns non-zero if 'value is Inf */ 314 # define isinf(value) \ 315 (sizeof(value) == sizeof(float) ? __isinff(value) \ 316 : sizeof(value) == sizeof(double) ? __isinf(value) \ 317 : __isinfl(value)) 318 319 #ifdef __cplusplus 320 } 321 #endif 322 323 #endif /* _MATH_H_ */ 324