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| 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-(int)(((unsigned)-1)>>1)) |
| 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 int __fpclassify(double); |
| 40 int __fpclassifyf(float); |
| 41 int __fpclassifyl(long double); |
| 42 |
| 43 static __inline unsigned __FLOAT_BITS(float __f) |
| 44 { |
| 45 union {float __f; unsigned __i;} __u; |
| 46 __u.__f = __f; |
| 47 return __u.__i; |
| 48 } |
| 49 static __inline unsigned long long __DOUBLE_BITS(double __f) |
| 50 { |
| 51 union {double __f; unsigned long long __i;} __u; |
| 52 __u.__f = __f; |
| 53 return __u.__i; |
| 54 } |
| 55 |
| 56 #define fpclassify(x) ( \ |
| 57 sizeof(x) == sizeof(float) ? __fpclassifyf(x) : \ |
| 58 sizeof(x) == sizeof(double) ? __fpclassify(x) : \ |
| 59 __fpclassifyl(x) ) |
| 60 |
| 61 #define isinf(x) ( \ |
| 62 sizeof(x) == sizeof(float) ? (__FLOAT_BITS(x) & 0x7fffffff) == 0x7f80000
0 : \ |
| 63 sizeof(x) == sizeof(double) ? (__DOUBLE_BITS(x) & -1ULL>>1) == 0x7ffULL<
<52 : \ |
| 64 __fpclassifyl(x) == FP_INFINITE) |
| 65 |
| 66 #define isnan(x) ( \ |
| 67 sizeof(x) == sizeof(float) ? (__FLOAT_BITS(x) & 0x7fffffff) > 0x7f800000
: \ |
| 68 sizeof(x) == sizeof(double) ? (__DOUBLE_BITS(x) & -1ULL>>1) > 0x7ffULL<<
52 : \ |
| 69 __fpclassifyl(x) == FP_NAN) |
| 70 |
| 71 #define isnormal(x) ( \ |
| 72 sizeof(x) == sizeof(float) ? ((__FLOAT_BITS(x)+0x00800000) & 0x7fffffff)
>= 0x01000000 : \ |
| 73 sizeof(x) == sizeof(double) ? ((__DOUBLE_BITS(x)+(1ULL<<52)) & -1ULL>>1)
>= 1ULL<<53 : \ |
| 74 __fpclassifyl(x) == FP_NORMAL) |
| 75 |
| 76 #define isfinite(x) ( \ |
| 77 sizeof(x) == sizeof(float) ? (__FLOAT_BITS(x) & 0x7fffffff) < 0x7f800000
: \ |
| 78 sizeof(x) == sizeof(double) ? (__DOUBLE_BITS(x) & -1ULL>>1) < 0x7ffULL<<
52 : \ |
| 79 __fpclassifyl(x) > FP_INFINITE) |
| 80 |
| 81 int __signbit(double); |
| 82 int __signbitf(float); |
| 83 int __signbitl(long double); |
| 84 |
| 85 #define signbit(x) ( \ |
| 86 sizeof(x) == sizeof(float) ? (int)(__FLOAT_BITS(x)>>31) : \ |
| 87 sizeof(x) == sizeof(double) ? (int)(__DOUBLE_BITS(x)>>63) : \ |
| 88 __signbitl(x) ) |
| 89 |
| 90 #define isunordered(x,y) (isnan((x)) ? ((void)(y),1) : isnan((y))) |
| 91 |
| 92 #define __ISREL_DEF(rel, op, type) \ |
| 93 static __inline int __is##rel(type __x, type __y) \ |
| 94 { return !isunordered(__x,__y) && __x op __y; } |
| 95 |
| 96 __ISREL_DEF(lessf, <, float_t) |
| 97 __ISREL_DEF(less, <, double_t) |
| 98 __ISREL_DEF(lessl, <, long double) |
| 99 __ISREL_DEF(lessequalf, <=, float_t) |
| 100 __ISREL_DEF(lessequal, <=, double_t) |
| 101 __ISREL_DEF(lessequall, <=, long double) |
| 102 __ISREL_DEF(lessgreaterf, !=, float_t) |
| 103 __ISREL_DEF(lessgreater, !=, double_t) |
| 104 __ISREL_DEF(lessgreaterl, !=, long double) |
| 105 __ISREL_DEF(greaterf, >, float_t) |
| 106 __ISREL_DEF(greater, >, double_t) |
| 107 __ISREL_DEF(greaterl, >, long double) |
| 108 __ISREL_DEF(greaterequalf, >=, float_t) |
| 109 __ISREL_DEF(greaterequal, >=, double_t) |
| 110 __ISREL_DEF(greaterequall, >=, long double) |
| 111 |
| 112 #define __tg_pred_2(x, y, p) ( \ |
| 113 sizeof((x)+(y)) == sizeof(float) ? p##f(x, y) : \ |
| 114 sizeof((x)+(y)) == sizeof(double) ? p(x, y) : \ |
| 115 p##l(x, y) ) |
| 116 |
| 117 #define isless(x, y) __tg_pred_2(x, y, __isless) |
| 118 #define islessequal(x, y) __tg_pred_2(x, y, __islessequal) |
| 119 #define islessgreater(x, y) __tg_pred_2(x, y, __islessgreater) |
| 120 #define isgreater(x, y) __tg_pred_2(x, y, __isgreater) |
| 121 #define isgreaterequal(x, y) __tg_pred_2(x, y, __isgreaterequal) |
| 122 |
| 123 double acos(double); |
| 124 float acosf(float); |
| 125 long double acosl(long double); |
| 126 |
| 127 double acosh(double); |
| 128 float acoshf(float); |
| 129 long double acoshl(long double); |
| 130 |
| 131 double asin(double); |
| 132 float asinf(float); |
| 133 long double asinl(long double); |
| 134 |
| 135 double asinh(double); |
| 136 float asinhf(float); |
| 137 long double asinhl(long double); |
| 138 |
| 139 double atan(double); |
| 140 float atanf(float); |
| 141 long double atanl(long double); |
| 142 |
| 143 double atan2(double, double); |
| 144 float atan2f(float, float); |
| 145 long double atan2l(long double, long double); |
| 146 |
| 147 double atanh(double); |
| 148 float atanhf(float); |
| 149 long double atanhl(long double); |
| 150 |
| 151 double cbrt(double); |
| 152 float cbrtf(float); |
| 153 long double cbrtl(long double); |
| 154 |
| 155 double ceil(double); |
| 156 float ceilf(float); |
| 157 long double ceill(long double); |
| 158 |
| 159 double copysign(double, double); |
| 160 float copysignf(float, float); |
| 161 long double copysignl(long double, long double); |
| 162 |
| 163 double cos(double); |
| 164 float cosf(float); |
| 165 long double cosl(long double); |
| 166 |
| 167 double cosh(double); |
| 168 float coshf(float); |
| 169 long double coshl(long double); |
| 170 |
| 171 double erf(double); |
| 172 float erff(float); |
| 173 long double erfl(long double); |
| 174 |
| 175 double erfc(double); |
| 176 float erfcf(float); |
| 177 long double erfcl(long double); |
| 178 |
| 179 double exp(double); |
| 180 float expf(float); |
| 181 long double expl(long double); |
| 182 |
| 183 double exp2(double); |
| 184 float exp2f(float); |
| 185 long double exp2l(long double); |
| 186 |
| 187 double expm1(double); |
| 188 float expm1f(float); |
| 189 long double expm1l(long double); |
| 190 |
| 191 double fabs(double); |
| 192 float fabsf(float); |
| 193 long double fabsl(long double); |
| 194 |
| 195 double fdim(double, double); |
| 196 float fdimf(float, float); |
| 197 long double fdiml(long double, long double); |
| 198 |
| 199 double floor(double); |
| 200 float floorf(float); |
| 201 long double floorl(long double); |
| 202 |
| 203 double fma(double, double, double); |
| 204 float fmaf(float, float, float); |
| 205 long double fmal(long double, long double, long double); |
| 206 |
| 207 double fmax(double, double); |
| 208 float fmaxf(float, float); |
| 209 long double fmaxl(long double, long double); |
| 210 |
| 211 double fmin(double, double); |
| 212 float fminf(float, float); |
| 213 long double fminl(long double, long double); |
| 214 |
| 215 double fmod(double, double); |
| 216 float fmodf(float, float); |
| 217 long double fmodl(long double, long double); |
| 218 |
| 219 double frexp(double, int *); |
| 220 float frexpf(float, int *); |
| 221 long double frexpl(long double, int *); |
| 222 |
| 223 double hypot(double, double); |
| 224 float hypotf(float, float); |
| 225 long double hypotl(long double, long double); |
| 226 |
| 227 int ilogb(double); |
| 228 int ilogbf(float); |
| 229 int ilogbl(long double); |
| 230 |
| 231 double ldexp(double, int); |
| 232 float ldexpf(float, int); |
| 233 long double ldexpl(long double, int); |
| 234 |
| 235 double lgamma(double); |
| 236 float lgammaf(float); |
| 237 long double lgammal(long double); |
| 238 |
| 239 long long llrint(double); |
| 240 long long llrintf(float); |
| 241 long long llrintl(long double); |
| 242 |
| 243 long long llround(double); |
| 244 long long llroundf(float); |
| 245 long long llroundl(long double); |
| 246 |
| 247 double log(double); |
| 248 float logf(float); |
| 249 long double logl(long double); |
| 250 |
| 251 double log10(double); |
| 252 float log10f(float); |
| 253 long double log10l(long double); |
| 254 |
| 255 double log1p(double); |
| 256 float log1pf(float); |
| 257 long double log1pl(long double); |
| 258 |
| 259 double log2(double); |
| 260 float log2f(float); |
| 261 long double log2l(long double); |
| 262 |
| 263 double logb(double); |
| 264 float logbf(float); |
| 265 long double logbl(long double); |
| 266 |
| 267 long lrint(double); |
| 268 long lrintf(float); |
| 269 long lrintl(long double); |
| 270 |
| 271 long lround(double); |
| 272 long lroundf(float); |
| 273 long lroundl(long double); |
| 274 |
| 275 double modf(double, double *); |
| 276 float modff(float, float *); |
| 277 long double modfl(long double, long double *); |
| 278 |
| 279 double nan(const char *); |
| 280 float nanf(const char *); |
| 281 long double nanl(const char *); |
| 282 |
| 283 double nearbyint(double); |
| 284 float nearbyintf(float); |
| 285 long double nearbyintl(long double); |
| 286 |
| 287 double nextafter(double, double); |
| 288 float nextafterf(float, float); |
| 289 long double nextafterl(long double, long double); |
| 290 |
| 291 double nexttoward(double, long double); |
| 292 float nexttowardf(float, long double); |
| 293 long double nexttowardl(long double, long double); |
| 294 |
| 295 double pow(double, double); |
| 296 float powf(float, float); |
| 297 long double powl(long double, long double); |
| 298 |
| 299 double remainder(double, double); |
| 300 float remainderf(float, float); |
| 301 long double remainderl(long double, long double); |
| 302 |
| 303 double remquo(double, double, int *); |
| 304 float remquof(float, float, int *); |
| 305 long double remquol(long double, long double, int *); |
| 306 |
| 307 double rint(double); |
| 308 float rintf(float); |
| 309 long double rintl(long double); |
| 310 |
| 311 double round(double); |
| 312 float roundf(float); |
| 313 long double roundl(long double); |
| 314 |
| 315 double scalbln(double, long); |
| 316 float scalblnf(float, long); |
| 317 long double scalblnl(long double, long); |
| 318 |
| 319 double scalbn(double, int); |
| 320 float scalbnf(float, int); |
| 321 long double scalbnl(long double, int); |
| 322 |
| 323 double sin(double); |
| 324 float sinf(float); |
| 325 long double sinl(long double); |
| 326 |
| 327 double sinh(double); |
| 328 float sinhf(float); |
| 329 long double sinhl(long double); |
| 330 |
| 331 double sqrt(double); |
| 332 float sqrtf(float); |
| 333 long double sqrtl(long double); |
| 334 |
| 335 double tan(double); |
| 336 float tanf(float); |
| 337 long double tanl(long double); |
| 338 |
| 339 double tanh(double); |
| 340 float tanhf(float); |
| 341 long double tanhl(long double); |
| 342 |
| 343 double tgamma(double); |
| 344 float tgammaf(float); |
| 345 long double tgammal(long double); |
| 346 |
| 347 double trunc(double); |
| 348 float truncf(float); |
| 349 long double truncl(long double); |
| 350 |
| 351 |
| 352 #if defined(_XOPEN_SOURCE) || defined(_BSD_SOURCE) |
| 353 #undef MAXFLOAT |
| 354 #define MAXFLOAT 3.40282346638528859812e+38F |
| 355 #endif |
| 356 |
| 357 #if defined(_XOPEN_SOURCE) || defined(_GNU_SOURCE) || defined(_BSD_SOURCE) |
| 358 #define M_E 2.7182818284590452354 /* e */ |
| 359 #define M_LOG2E 1.4426950408889634074 /* log_2 e */ |
| 360 #define M_LOG10E 0.43429448190325182765 /* log_10 e */ |
| 361 #define M_LN2 0.69314718055994530942 /* log_e 2 */ |
| 362 #define M_LN10 2.30258509299404568402 /* log_e 10 */ |
| 363 #define M_PI 3.14159265358979323846 /* pi */ |
| 364 #define M_PI_2 1.57079632679489661923 /* pi/2 */ |
| 365 #define M_PI_4 0.78539816339744830962 /* pi/4 */ |
| 366 #define M_1_PI 0.31830988618379067154 /* 1/pi */ |
| 367 #define M_2_PI 0.63661977236758134308 /* 2/pi */ |
| 368 #define M_2_SQRTPI 1.12837916709551257390 /* 2/sqrt(pi) */ |
| 369 #define M_SQRT2 1.41421356237309504880 /* sqrt(2) */ |
| 370 #define M_SQRT1_2 0.70710678118654752440 /* 1/sqrt(2) */ |
| 371 |
| 372 extern int signgam; |
| 373 |
| 374 double j0(double); |
| 375 double j1(double); |
| 376 double jn(int, double); |
| 377 |
| 378 double y0(double); |
| 379 double y1(double); |
| 380 double yn(int, double); |
| 381 #endif |
| 382 |
| 383 #if defined(_GNU_SOURCE) || defined(_BSD_SOURCE) |
| 384 #define HUGE 3.40282346638528859812e+38F |
| 385 |
| 386 double drem(double, double); |
| 387 float dremf(float, float); |
| 388 |
| 389 int finite(double); |
| 390 int finitef(float); |
| 391 |
| 392 double scalb(double, double); |
| 393 float scalbf(float, float); |
| 394 |
| 395 double significand(double); |
| 396 float significandf(float); |
| 397 |
| 398 double lgamma_r(double, int*); |
| 399 float lgammaf_r(float, int*); |
| 400 |
| 401 float j0f(float); |
| 402 float j1f(float); |
| 403 float jnf(int, float); |
| 404 |
| 405 float y0f(float); |
| 406 float y1f(float); |
| 407 float ynf(int, float); |
| 408 #endif |
| 409 |
| 410 #ifdef _GNU_SOURCE |
| 411 long double lgammal_r(long double, int*); |
| 412 |
| 413 void sincos(double, double*, double*); |
| 414 void sincosf(float, float*, float*); |
| 415 void sincosl(long double, long double*, long double*); |
| 416 |
| 417 double exp10(double); |
| 418 float exp10f(float); |
| 419 long double exp10l(long double); |
| 420 |
| 421 double pow10(double); |
| 422 float pow10f(float); |
| 423 long double pow10l(long double); |
| 424 #endif |
| 425 |
| 426 #ifdef __cplusplus |
| 427 } |
| 428 #endif |
| 429 |
| 430 #endif |
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