1 /* 2 * Copyright 2001-2006, 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 #define PI M_PI 24 #define PI2 M_PI_2 25 26 /* platform independent IEEE floating point special values */ 27 #define __HUGE_VAL_v 0x7ff0000000000000LL 28 #define __huge_val_t union { unsigned char __c[8]; long long __ll; double __d; } 29 #ifndef HUGE_VAL 30 # define HUGE_VAL (((__huge_val_t) { __ll: __HUGE_VAL_v }).__d) 31 #endif 32 33 #define __HUGE_VALF_v 0x7f800000L 34 #define __huge_valf_t union { unsigned char __c[4]; long __l; float __f; } 35 #define HUGE_VALF (((__huge_valf_t) { __l: __HUGE_VALF_v }).__f) 36 37 /* ToDo: define HUGE_VALL for long doubles */ 38 39 #define __NAN_VALF_v 0x7fc00000L 40 #define NAN (((__huge_valf_t) { __l: __NAN_VALF_v }).__f) 41 42 #define INFINITY HUGE_VALF 43 44 /* floating-point categories */ 45 #define FP_NAN 0 46 #define FP_INFINITE 1 47 #define FP_ZERO 2 48 #define FP_SUBNORMAL 3 49 #define FP_NORMAL 4 50 51 #ifdef __cplusplus 52 struct __exception; 53 extern "C" int matherr(struct __exception *); 54 struct __exception { 55 #else 56 struct exception; 57 extern int matherr(struct exception *); 58 struct exception { 59 #endif 60 int type; 61 char *name; 62 double arg1; 63 double arg2; 64 double retval; 65 }; 66 67 #define DOMAIN 1 68 #define SING 2 69 #define OVERFLOW 3 70 #define UNDERFLOW 4 71 #define TLOSS 5 72 #define PLOSS 6 73 74 extern int signgam; 75 76 77 #ifdef __cplusplus 78 extern "C" { 79 #endif 80 81 /* float math functions */ 82 extern float acosf(float x); 83 extern float acoshf(float x); 84 extern float asinf(float x); 85 extern float asinhf(float x); 86 extern float atan2f(float y, float x); 87 extern float atanf(float x); 88 extern float atanhf(float x); 89 extern float cbrtf(float x); 90 extern float ceilf(float x); 91 extern float cosf(float x); 92 extern float coshf(float x); 93 extern float expf(float x); 94 extern float expm1f(float x); 95 extern float fabsf(float x); 96 extern float floorf(float x); 97 extern float fmodf(float x, float y); 98 extern float frexpf(float x, int *_exponent); 99 extern float gammaf(float x); 100 extern float hypotf(float x, float y); 101 extern float ldexpf(float x, int exponent); 102 extern float lgammaf(float x); 103 extern float log10f(float x); 104 extern float log1pf(float x); 105 extern float logbf(float x); 106 extern float logf(float x); 107 extern long lroundf(float x); 108 extern float modff(float x, float *y); 109 extern float nearbyintf(float x); 110 extern float powf(float x, float y); 111 extern float remquof(float x, float y, int *quo); 112 extern float roundf(float x); 113 extern float sinf(float x); 114 extern float sinhf(float x); 115 extern float sqrtf(float x); 116 extern float tanf(float x); 117 extern float tanhf(float x); 118 119 /* double math functions */ 120 extern double acos(double x); 121 extern double acosh(double x); 122 extern double asin(double x); 123 extern double asinh(double x); 124 extern double atan(double x); 125 extern double atan2(double x, double y); 126 extern double atanh(double x); 127 extern double ceil(double x); 128 extern double cos(double x); 129 extern double cosh(double x); 130 extern double exp(double x); 131 extern double fabs(double x); 132 extern double floor(double x); 133 extern double fmod(double x, double y); 134 extern double frexp(double x, int *_exponent); 135 extern double gamma(double x); 136 extern double ldexp(double x, int exponent); 137 extern double lgamma(double x); 138 extern double log(double x); 139 extern double log10(double x); 140 extern long lround(double x); 141 extern double modf(double x, double *y); 142 extern double nearbyint(double x); 143 extern double pow(double x, double y); 144 extern double remquo(double x, double y, int *quo); 145 extern double round(double x); 146 extern double sin(double x); 147 extern double sinh(double x); 148 extern double sqrt(double x); 149 extern double tan(double x); 150 extern double tanh(double x); 151 extern double trunc(double x); 152 153 /* long double math functions */ 154 extern long double acosl(long double x); 155 extern long double acoshl(long double x); 156 extern long double asinl(long double x); 157 extern long double atanl(long double x); 158 extern long double atanhl(long double x); 159 extern long double atan2l(long double y, long double x); 160 extern long double lgammal(long double x); 161 extern long double nearbyintl(long double x); 162 extern long double roundl(long double x); 163 extern long lroundl(long double x); 164 extern long double remquol(long double x, long double y, int *quo); 165 166 /* some BSD non-ANSI or POSIX math functions */ 167 extern double cbrt(double x); 168 extern double erf(double x); 169 extern double erfc(double x); 170 extern double expm1(double x); 171 extern double gamma_r(double x, int *y); 172 extern double hypot(double x, double y); 173 extern int ilogb(double x); 174 extern double j0(double x); 175 extern double j1(double x); 176 extern double jn(int x, double y); 177 extern double lgamma_r(double x, int *y); 178 extern double log1p(double x); 179 extern double logb(double x); 180 extern double nextafter(double x, double y); 181 extern double nexttoward(double x, long double y); 182 extern double remainder(double x, double y); 183 extern double rint(double x); 184 extern double scalb (double x, double y); 185 extern double y0(double x); 186 extern double y1(double x); 187 extern double yn(int x, double y); 188 189 /* other stuff as defined in BeOS */ 190 extern int isinff(float value); 191 extern int finitef(float value); 192 extern float dremf(float x, float y); 193 extern float significandf(float x); 194 extern float copysignf(float x, float y); 195 extern int isnanf(float value); 196 extern double significand(double x); 197 extern double copysign(double x, double y); 198 extern double scalbln(double x, long n); 199 extern double scalbn(double x, int y); 200 extern double drem(double x, double y); 201 extern int finite(double x); 202 extern float j0f(float x); 203 extern float j1f(float x); 204 extern float jnf(int x, float y); 205 extern float y0f(float x); 206 extern float y1f(float x); 207 extern float ynf(int x, float y); 208 extern float erff(float x); 209 extern float erfcf(float x); 210 extern float gammaf_r(float x, int *y); 211 extern float lgammaf_r(float x, int *y); 212 extern float rintf(float x); 213 extern float nextafterf(float x, float y); 214 extern float nexttowardf(float x, long double y); 215 extern float remainderf(float x, float y); 216 extern float scalbf(float x, float n); 217 extern float scalbnf(float x, int n); 218 extern int ilogbf(float x); 219 220 extern long double nextafterl(long double x, long double y); 221 extern long double nexttowardl(long double x, long double y); 222 extern long double remainderl(long double x, long double y); 223 extern long double rintl(long double x); 224 extern long double scalbnl(long double x, int n); 225 extern long double scalblnl(long double x, long n); 226 227 /* prototypes for functions used in the macros below */ 228 extern int __fpclassifyf(float value); 229 extern int __signbitf(float value); 230 extern int __finitef(float value); 231 extern int __isnanf(float value); 232 extern int __isinff(float value); 233 234 extern int __fpclassifyl(long double value); 235 extern int __signbitl(long double value); 236 extern int __finitel(long double value); 237 extern int __isnanl(long double value); 238 extern int __isinfl(long double value); 239 240 extern int __fpclassify(double value); 241 extern int __signbit(double value); 242 extern int __finite(double value); 243 extern int __isnan(double value); 244 extern int __isinf(double value); 245 246 /* returns number of classification appropriate for 'value' */ 247 #define fpclassify(value) \ 248 (sizeof(value) == sizeof(float) ? __fpclassifyf(value) \ 249 : sizeof(value) == sizeof(double) ? __fpclassify(value) \ 250 : __fpclassifyl(value)) 251 252 /* returns non-zero if 'value' is negative */ 253 # define signbit(value) \ 254 (sizeof(value) == sizeof(float) ? __signbitf(value) \ 255 : sizeof(value) == sizeof(double) ? __signbit(value) \ 256 : __signbitl(value)) 257 258 /* returns non-zero if 'value' is not Inf or NaN */ 259 # define isfinite(value) \ 260 (sizeof(value) == sizeof(float) ? __finitef(value) \ 261 : sizeof(value) == sizeof(double) ? __finite(value) \ 262 : __finitel(value)) 263 264 /* returns non-zero if 'value' is neither zero, sub-normal, Inf, nor NaN */ 265 # define isnormal(value) \ 266 (fpclassify(value) == FP_NORMAL) 267 268 /* returns non-zero if 'value' is NaN */ 269 # define isnan(value) \ 270 (sizeof(value) == sizeof(float) ? __isnanf(value) \ 271 : sizeof(value) == sizeof(double) ? __isnan(value) \ 272 : __isnanl(value)) 273 274 /* returns non-zero if 'value is Inf */ 275 # define isinf(value) \ 276 (sizeof(value) == sizeof(float) ? __isinff(value) \ 277 : sizeof(value) == sizeof(double) ? __isinf(value) \ 278 : __isinfl(value)) 279 280 #ifdef __cplusplus 281 } 282 #endif 283 284 #endif /* _MATH_H_ */ 285