Colin Cross | 07a5832 | 2022-02-08 19:45:27 -0800 | [diff] [blame^] | 1 | #ifndef _MATH_H |
| 2 | #define _MATH_H |
| 3 | |
| 4 | #ifdef __cplusplus |
| 5 | extern "C" { |
| 6 | #endif |
| 7 | |
| 8 | #include <features.h> |
| 9 | |
| 10 | #define __NEED_float_t |
| 11 | #define __NEED_double_t |
| 12 | #include <bits/alltypes.h> |
| 13 | |
| 14 | #if 100*__GNUC__+__GNUC_MINOR__ >= 303 |
| 15 | #define NAN __builtin_nanf("") |
| 16 | #define INFINITY __builtin_inff() |
| 17 | #else |
| 18 | #define NAN (0.0f/0.0f) |
| 19 | #define INFINITY 1e5000f |
| 20 | #endif |
| 21 | |
| 22 | #define HUGE_VALF INFINITY |
| 23 | #define HUGE_VAL ((double)INFINITY) |
| 24 | #define HUGE_VALL ((long double)INFINITY) |
| 25 | |
| 26 | #define MATH_ERRNO 1 |
| 27 | #define MATH_ERREXCEPT 2 |
| 28 | #define math_errhandling 2 |
| 29 | |
| 30 | #define FP_ILOGBNAN (-1-0x7fffffff) |
| 31 | #define FP_ILOGB0 FP_ILOGBNAN |
| 32 | |
| 33 | #define FP_NAN 0 |
| 34 | #define FP_INFINITE 1 |
| 35 | #define FP_ZERO 2 |
| 36 | #define FP_SUBNORMAL 3 |
| 37 | #define FP_NORMAL 4 |
| 38 | |
| 39 | #ifdef __FP_FAST_FMA |
| 40 | #define FP_FAST_FMA 1 |
| 41 | #endif |
| 42 | |
| 43 | #ifdef __FP_FAST_FMAF |
| 44 | #define FP_FAST_FMAF 1 |
| 45 | #endif |
| 46 | |
| 47 | #ifdef __FP_FAST_FMAL |
| 48 | #define FP_FAST_FMAL 1 |
| 49 | #endif |
| 50 | |
| 51 | int __fpclassify(double); |
| 52 | int __fpclassifyf(float); |
| 53 | int __fpclassifyl(long double); |
| 54 | |
| 55 | static __inline unsigned __FLOAT_BITS(float __f) |
| 56 | { |
| 57 | union {float __f; unsigned __i;} __u; |
| 58 | __u.__f = __f; |
| 59 | return __u.__i; |
| 60 | } |
| 61 | static __inline unsigned long long __DOUBLE_BITS(double __f) |
| 62 | { |
| 63 | union {double __f; unsigned long long __i;} __u; |
| 64 | __u.__f = __f; |
| 65 | return __u.__i; |
| 66 | } |
| 67 | |
| 68 | #define fpclassify(x) ( \ |
| 69 | sizeof(x) == sizeof(float) ? __fpclassifyf(x) : \ |
| 70 | sizeof(x) == sizeof(double) ? __fpclassify(x) : \ |
| 71 | __fpclassifyl(x) ) |
| 72 | |
| 73 | #define isinf(x) ( \ |
| 74 | sizeof(x) == sizeof(float) ? (__FLOAT_BITS(x) & 0x7fffffff) == 0x7f800000 : \ |
| 75 | sizeof(x) == sizeof(double) ? (__DOUBLE_BITS(x) & -1ULL>>1) == 0x7ffULL<<52 : \ |
| 76 | __fpclassifyl(x) == FP_INFINITE) |
| 77 | |
| 78 | #define isnan(x) ( \ |
| 79 | sizeof(x) == sizeof(float) ? (__FLOAT_BITS(x) & 0x7fffffff) > 0x7f800000 : \ |
| 80 | sizeof(x) == sizeof(double) ? (__DOUBLE_BITS(x) & -1ULL>>1) > 0x7ffULL<<52 : \ |
| 81 | __fpclassifyl(x) == FP_NAN) |
| 82 | |
| 83 | #define isnormal(x) ( \ |
| 84 | sizeof(x) == sizeof(float) ? ((__FLOAT_BITS(x)+0x00800000) & 0x7fffffff) >= 0x01000000 : \ |
| 85 | sizeof(x) == sizeof(double) ? ((__DOUBLE_BITS(x)+(1ULL<<52)) & -1ULL>>1) >= 1ULL<<53 : \ |
| 86 | __fpclassifyl(x) == FP_NORMAL) |
| 87 | |
| 88 | #define isfinite(x) ( \ |
| 89 | sizeof(x) == sizeof(float) ? (__FLOAT_BITS(x) & 0x7fffffff) < 0x7f800000 : \ |
| 90 | sizeof(x) == sizeof(double) ? (__DOUBLE_BITS(x) & -1ULL>>1) < 0x7ffULL<<52 : \ |
| 91 | __fpclassifyl(x) > FP_INFINITE) |
| 92 | |
| 93 | int __signbit(double); |
| 94 | int __signbitf(float); |
| 95 | int __signbitl(long double); |
| 96 | |
| 97 | #define signbit(x) ( \ |
| 98 | sizeof(x) == sizeof(float) ? (int)(__FLOAT_BITS(x)>>31) : \ |
| 99 | sizeof(x) == sizeof(double) ? (int)(__DOUBLE_BITS(x)>>63) : \ |
| 100 | __signbitl(x) ) |
| 101 | |
| 102 | #define isunordered(x,y) (isnan((x)) ? ((void)(y),1) : isnan((y))) |
| 103 | |
| 104 | #define __ISREL_DEF(rel, op, type) \ |
| 105 | static __inline int __is##rel(type __x, type __y) \ |
| 106 | { return !isunordered(__x,__y) && __x op __y; } |
| 107 | |
| 108 | __ISREL_DEF(lessf, <, float_t) |
| 109 | __ISREL_DEF(less, <, double_t) |
| 110 | __ISREL_DEF(lessl, <, long double) |
| 111 | __ISREL_DEF(lessequalf, <=, float_t) |
| 112 | __ISREL_DEF(lessequal, <=, double_t) |
| 113 | __ISREL_DEF(lessequall, <=, long double) |
| 114 | __ISREL_DEF(lessgreaterf, !=, float_t) |
| 115 | __ISREL_DEF(lessgreater, !=, double_t) |
| 116 | __ISREL_DEF(lessgreaterl, !=, long double) |
| 117 | __ISREL_DEF(greaterf, >, float_t) |
| 118 | __ISREL_DEF(greater, >, double_t) |
| 119 | __ISREL_DEF(greaterl, >, long double) |
| 120 | __ISREL_DEF(greaterequalf, >=, float_t) |
| 121 | __ISREL_DEF(greaterequal, >=, double_t) |
| 122 | __ISREL_DEF(greaterequall, >=, long double) |
| 123 | |
| 124 | #define __tg_pred_2(x, y, p) ( \ |
| 125 | sizeof((x)+(y)) == sizeof(float) ? p##f(x, y) : \ |
| 126 | sizeof((x)+(y)) == sizeof(double) ? p(x, y) : \ |
| 127 | p##l(x, y) ) |
| 128 | |
| 129 | #define isless(x, y) __tg_pred_2(x, y, __isless) |
| 130 | #define islessequal(x, y) __tg_pred_2(x, y, __islessequal) |
| 131 | #define islessgreater(x, y) __tg_pred_2(x, y, __islessgreater) |
| 132 | #define isgreater(x, y) __tg_pred_2(x, y, __isgreater) |
| 133 | #define isgreaterequal(x, y) __tg_pred_2(x, y, __isgreaterequal) |
| 134 | |
| 135 | double acos(double); |
| 136 | float acosf(float); |
| 137 | long double acosl(long double); |
| 138 | |
| 139 | double acosh(double); |
| 140 | float acoshf(float); |
| 141 | long double acoshl(long double); |
| 142 | |
| 143 | double asin(double); |
| 144 | float asinf(float); |
| 145 | long double asinl(long double); |
| 146 | |
| 147 | double asinh(double); |
| 148 | float asinhf(float); |
| 149 | long double asinhl(long double); |
| 150 | |
| 151 | double atan(double); |
| 152 | float atanf(float); |
| 153 | long double atanl(long double); |
| 154 | |
| 155 | double atan2(double, double); |
| 156 | float atan2f(float, float); |
| 157 | long double atan2l(long double, long double); |
| 158 | |
| 159 | double atanh(double); |
| 160 | float atanhf(float); |
| 161 | long double atanhl(long double); |
| 162 | |
| 163 | double cbrt(double); |
| 164 | float cbrtf(float); |
| 165 | long double cbrtl(long double); |
| 166 | |
| 167 | double ceil(double); |
| 168 | float ceilf(float); |
| 169 | long double ceill(long double); |
| 170 | |
| 171 | double copysign(double, double); |
| 172 | float copysignf(float, float); |
| 173 | long double copysignl(long double, long double); |
| 174 | |
| 175 | double cos(double); |
| 176 | float cosf(float); |
| 177 | long double cosl(long double); |
| 178 | |
| 179 | double cosh(double); |
| 180 | float coshf(float); |
| 181 | long double coshl(long double); |
| 182 | |
| 183 | double erf(double); |
| 184 | float erff(float); |
| 185 | long double erfl(long double); |
| 186 | |
| 187 | double erfc(double); |
| 188 | float erfcf(float); |
| 189 | long double erfcl(long double); |
| 190 | |
| 191 | double exp(double); |
| 192 | float expf(float); |
| 193 | long double expl(long double); |
| 194 | |
| 195 | double exp2(double); |
| 196 | float exp2f(float); |
| 197 | long double exp2l(long double); |
| 198 | |
| 199 | double expm1(double); |
| 200 | float expm1f(float); |
| 201 | long double expm1l(long double); |
| 202 | |
| 203 | double fabs(double); |
| 204 | float fabsf(float); |
| 205 | long double fabsl(long double); |
| 206 | |
| 207 | double fdim(double, double); |
| 208 | float fdimf(float, float); |
| 209 | long double fdiml(long double, long double); |
| 210 | |
| 211 | double floor(double); |
| 212 | float floorf(float); |
| 213 | long double floorl(long double); |
| 214 | |
| 215 | double fma(double, double, double); |
| 216 | float fmaf(float, float, float); |
| 217 | long double fmal(long double, long double, long double); |
| 218 | |
| 219 | double fmax(double, double); |
| 220 | float fmaxf(float, float); |
| 221 | long double fmaxl(long double, long double); |
| 222 | |
| 223 | double fmin(double, double); |
| 224 | float fminf(float, float); |
| 225 | long double fminl(long double, long double); |
| 226 | |
| 227 | double fmod(double, double); |
| 228 | float fmodf(float, float); |
| 229 | long double fmodl(long double, long double); |
| 230 | |
| 231 | double frexp(double, int *); |
| 232 | float frexpf(float, int *); |
| 233 | long double frexpl(long double, int *); |
| 234 | |
| 235 | double hypot(double, double); |
| 236 | float hypotf(float, float); |
| 237 | long double hypotl(long double, long double); |
| 238 | |
| 239 | int ilogb(double); |
| 240 | int ilogbf(float); |
| 241 | int ilogbl(long double); |
| 242 | |
| 243 | double ldexp(double, int); |
| 244 | float ldexpf(float, int); |
| 245 | long double ldexpl(long double, int); |
| 246 | |
| 247 | double lgamma(double); |
| 248 | float lgammaf(float); |
| 249 | long double lgammal(long double); |
| 250 | |
| 251 | long long llrint(double); |
| 252 | long long llrintf(float); |
| 253 | long long llrintl(long double); |
| 254 | |
| 255 | long long llround(double); |
| 256 | long long llroundf(float); |
| 257 | long long llroundl(long double); |
| 258 | |
| 259 | double log(double); |
| 260 | float logf(float); |
| 261 | long double logl(long double); |
| 262 | |
| 263 | double log10(double); |
| 264 | float log10f(float); |
| 265 | long double log10l(long double); |
| 266 | |
| 267 | double log1p(double); |
| 268 | float log1pf(float); |
| 269 | long double log1pl(long double); |
| 270 | |
| 271 | double log2(double); |
| 272 | float log2f(float); |
| 273 | long double log2l(long double); |
| 274 | |
| 275 | double logb(double); |
| 276 | float logbf(float); |
| 277 | long double logbl(long double); |
| 278 | |
| 279 | long lrint(double); |
| 280 | long lrintf(float); |
| 281 | long lrintl(long double); |
| 282 | |
| 283 | long lround(double); |
| 284 | long lroundf(float); |
| 285 | long lroundl(long double); |
| 286 | |
| 287 | double modf(double, double *); |
| 288 | float modff(float, float *); |
| 289 | long double modfl(long double, long double *); |
| 290 | |
| 291 | double nan(const char *); |
| 292 | float nanf(const char *); |
| 293 | long double nanl(const char *); |
| 294 | |
| 295 | double nearbyint(double); |
| 296 | float nearbyintf(float); |
| 297 | long double nearbyintl(long double); |
| 298 | |
| 299 | double nextafter(double, double); |
| 300 | float nextafterf(float, float); |
| 301 | long double nextafterl(long double, long double); |
| 302 | |
| 303 | double nexttoward(double, long double); |
| 304 | float nexttowardf(float, long double); |
| 305 | long double nexttowardl(long double, long double); |
| 306 | |
| 307 | double pow(double, double); |
| 308 | float powf(float, float); |
| 309 | long double powl(long double, long double); |
| 310 | |
| 311 | double remainder(double, double); |
| 312 | float remainderf(float, float); |
| 313 | long double remainderl(long double, long double); |
| 314 | |
| 315 | double remquo(double, double, int *); |
| 316 | float remquof(float, float, int *); |
| 317 | long double remquol(long double, long double, int *); |
| 318 | |
| 319 | double rint(double); |
| 320 | float rintf(float); |
| 321 | long double rintl(long double); |
| 322 | |
| 323 | double round(double); |
| 324 | float roundf(float); |
| 325 | long double roundl(long double); |
| 326 | |
| 327 | double scalbln(double, long); |
| 328 | float scalblnf(float, long); |
| 329 | long double scalblnl(long double, long); |
| 330 | |
| 331 | double scalbn(double, int); |
| 332 | float scalbnf(float, int); |
| 333 | long double scalbnl(long double, int); |
| 334 | |
| 335 | double sin(double); |
| 336 | float sinf(float); |
| 337 | long double sinl(long double); |
| 338 | |
| 339 | double sinh(double); |
| 340 | float sinhf(float); |
| 341 | long double sinhl(long double); |
| 342 | |
| 343 | double sqrt(double); |
| 344 | float sqrtf(float); |
| 345 | long double sqrtl(long double); |
| 346 | |
| 347 | double tan(double); |
| 348 | float tanf(float); |
| 349 | long double tanl(long double); |
| 350 | |
| 351 | double tanh(double); |
| 352 | float tanhf(float); |
| 353 | long double tanhl(long double); |
| 354 | |
| 355 | double tgamma(double); |
| 356 | float tgammaf(float); |
| 357 | long double tgammal(long double); |
| 358 | |
| 359 | double trunc(double); |
| 360 | float truncf(float); |
| 361 | long double truncl(long double); |
| 362 | |
| 363 | |
| 364 | #if defined(_XOPEN_SOURCE) || defined(_BSD_SOURCE) |
| 365 | #undef MAXFLOAT |
| 366 | #define MAXFLOAT 3.40282346638528859812e+38F |
| 367 | #endif |
| 368 | |
| 369 | #if defined(_XOPEN_SOURCE) || defined(_GNU_SOURCE) || defined(_BSD_SOURCE) |
| 370 | #define M_E 2.7182818284590452354 /* e */ |
| 371 | #define M_LOG2E 1.4426950408889634074 /* log_2 e */ |
| 372 | #define M_LOG10E 0.43429448190325182765 /* log_10 e */ |
| 373 | #define M_LN2 0.69314718055994530942 /* log_e 2 */ |
| 374 | #define M_LN10 2.30258509299404568402 /* log_e 10 */ |
| 375 | #define M_PI 3.14159265358979323846 /* pi */ |
| 376 | #define M_PI_2 1.57079632679489661923 /* pi/2 */ |
| 377 | #define M_PI_4 0.78539816339744830962 /* pi/4 */ |
| 378 | #define M_1_PI 0.31830988618379067154 /* 1/pi */ |
| 379 | #define M_2_PI 0.63661977236758134308 /* 2/pi */ |
| 380 | #define M_2_SQRTPI 1.12837916709551257390 /* 2/sqrt(pi) */ |
| 381 | #define M_SQRT2 1.41421356237309504880 /* sqrt(2) */ |
| 382 | #define M_SQRT1_2 0.70710678118654752440 /* 1/sqrt(2) */ |
| 383 | |
| 384 | extern int signgam; |
| 385 | |
| 386 | double j0(double); |
| 387 | double j1(double); |
| 388 | double jn(int, double); |
| 389 | |
| 390 | double y0(double); |
| 391 | double y1(double); |
| 392 | double yn(int, double); |
| 393 | #endif |
| 394 | |
| 395 | #if defined(_GNU_SOURCE) || defined(_BSD_SOURCE) |
| 396 | #define HUGE 3.40282346638528859812e+38F |
| 397 | |
| 398 | double drem(double, double); |
| 399 | float dremf(float, float); |
| 400 | |
| 401 | int finite(double); |
| 402 | int finitef(float); |
| 403 | |
| 404 | double scalb(double, double); |
| 405 | float scalbf(float, float); |
| 406 | |
| 407 | double significand(double); |
| 408 | float significandf(float); |
| 409 | |
| 410 | double lgamma_r(double, int*); |
| 411 | float lgammaf_r(float, int*); |
| 412 | |
| 413 | float j0f(float); |
| 414 | float j1f(float); |
| 415 | float jnf(int, float); |
| 416 | |
| 417 | float y0f(float); |
| 418 | float y1f(float); |
| 419 | float ynf(int, float); |
| 420 | #endif |
| 421 | |
| 422 | #ifdef _GNU_SOURCE |
| 423 | long double lgammal_r(long double, int*); |
| 424 | |
| 425 | void sincos(double, double*, double*); |
| 426 | void sincosf(float, float*, float*); |
| 427 | void sincosl(long double, long double*, long double*); |
| 428 | |
| 429 | double exp10(double); |
| 430 | float exp10f(float); |
| 431 | long double exp10l(long double); |
| 432 | |
| 433 | double pow10(double); |
| 434 | float pow10f(float); |
| 435 | long double pow10l(long double); |
| 436 | #endif |
| 437 | |
| 438 | #ifdef __cplusplus |
| 439 | } |
| 440 | #endif |
| 441 | |
| 442 | #endif |