math.h 10 KB

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  1. #ifndef _MATH_H
  2. #define _MATH_H
  3. #ifdef __cplusplus
  4. extern "C" {
  5. #endif
  6. #define __NEED_float_t
  7. #define __NEED_double_t
  8. #define __NEED___uint16_t
  9. #define __NEED___uint32_t
  10. #define __NEED___uint64_t
  11. #include <bits/alltypes.h>
  12. #if 100*__GNUC__+__GNUC_MINOR__ >= 303
  13. #define NAN __builtin_nanf("")
  14. #define INFINITY __builtin_inff()
  15. #else
  16. #define NAN (0.0f/0.0f)
  17. #define INFINITY 1e40f
  18. #endif
  19. #define HUGE_VALF INFINITY
  20. #define HUGE_VAL ((double)INFINITY)
  21. #define HUGE_VALL ((long double)INFINITY)
  22. #define MATH_ERRNO 1
  23. #define MATH_ERREXCEPT 2
  24. #define math_errhandling 2
  25. #define FP_ILOGBNAN (-1-(int)(((unsigned)-1)>>1))
  26. #define FP_ILOGB0 FP_ILOGBNAN
  27. #define FP_NAN 0
  28. #define FP_INFINITE 1
  29. #define FP_ZERO 2
  30. #define FP_SUBNORMAL 3
  31. #define FP_NORMAL 4
  32. int __fpclassify(double);
  33. int __fpclassifyf(float);
  34. int __fpclassifyl(long double);
  35. union __float_repr { float __f; __uint32_t __i; };
  36. union __double_repr { double __f; __uint64_t __i; };
  37. #define __FLOAT_BITS(f) (((union __float_repr){ (float)(f) }).__i)
  38. #define __DOUBLE_BITS(f) (((union __double_repr){ (double)(f) }).__i)
  39. #define fpclassify(x) ( \
  40. sizeof(x) == sizeof(float) ? __fpclassifyf(x) : \
  41. sizeof(x) == sizeof(double) ? __fpclassify(x) : \
  42. __fpclassifyl(x) )
  43. #define isinf(x) ( \
  44. sizeof(x) == sizeof(float) ? (__FLOAT_BITS(x) & 0x7fffffff) == 0x7f800000 : \
  45. sizeof(x) == sizeof(double) ? (__DOUBLE_BITS(x) & (__uint64_t)-1>>1) == (__uint64_t)0x7ff<<52 : \
  46. __fpclassifyl(x) == FP_INFINITE)
  47. #define isnan(x) ( \
  48. sizeof(x) == sizeof(float) ? (__FLOAT_BITS(x) & 0x7fffffff) > 0x7f800000 : \
  49. sizeof(x) == sizeof(double) ? (__DOUBLE_BITS(x) & (__uint64_t)-1>>1) > (__uint64_t)0x7ff<<52 : \
  50. __fpclassifyl(x) == FP_NAN)
  51. #define isnormal(x) ( \
  52. sizeof(x) == sizeof(float) ? ((__FLOAT_BITS(x)+0x00800000) & 0x7fffffff) >= 0x01000000 : \
  53. sizeof(x) == sizeof(double) ? ((__DOUBLE_BITS(x)+((__uint64_t)1<<52)) & (__uint64_t)-1>>1) >= (__uint64_t)1<<53 : \
  54. __fpclassifyl(x) == FP_NORMAL)
  55. #define isfinite(x) ( \
  56. sizeof(x) == sizeof(float) ? (__FLOAT_BITS(x) & 0x7fffffff) < 0x7f800000 : \
  57. sizeof(x) == sizeof(double) ? (__DOUBLE_BITS(x) & (__uint64_t)-1>>1) < (__uint64_t)0x7ff<<52 : \
  58. __fpclassifyl(x) > FP_INFINITE)
  59. int __signbit(double);
  60. int __signbitf(float);
  61. int __signbitl(long double);
  62. #define signbit(x) ( \
  63. sizeof(x) == sizeof(float) ? (int)(__FLOAT_BITS(x)>>31) : \
  64. sizeof(x) == sizeof(double) ? (int)(__DOUBLE_BITS(x)>>63) : \
  65. __signbitl(x) )
  66. #define isunordered(x,y) (isnan((x)) ? ((void)(y),1) : isnan((y)))
  67. #if __STDC_VERSION__ >= 199901L
  68. inline
  69. #endif
  70. static int __isrel(long double __x, long double __y, int __rel)
  71. {
  72. if (isunordered(__x, __y)) return 0;
  73. if (__rel==-2) return __x < __y;
  74. if (__rel==2) return __x > __y;
  75. if (__rel==-1) return __x <= __y;
  76. if (__rel==1) return __x >= __y;
  77. return __x != __y;
  78. }
  79. #define isless(x,y) __isrel((x), (y), -2)
  80. #define islessequal(x,y) __isrel((x), (y), -1)
  81. #define islessgreater(x,y) __isrel((x), (y), 0)
  82. #define isgreaterequal(x,y) __isrel((x), (y), 1)
  83. #define isgreater(x,y) __isrel((x), (y), 2)
  84. double acos(double);
  85. float acosf(float);
  86. long double acosl(long double);
  87. double acosh(double);
  88. float acoshf(float);
  89. long double acoshl(long double);
  90. double asin(double);
  91. float asinf(float);
  92. long double asinl(long double);
  93. double asinh(double);
  94. float asinhf(float);
  95. long double asinhl(long double);
  96. double atan(double);
  97. float atanf(float);
  98. long double atanl(long double);
  99. double atan2(double, double);
  100. float atan2f(float, float);
  101. long double atan2l(long double, long double);
  102. double atanh(double);
  103. float atanhf(float);
  104. long double atanhl(long double);
  105. double cbrt(double);
  106. float cbrtf(float);
  107. long double cbrtl(long double);
  108. double ceil(double);
  109. float ceilf(float);
  110. long double ceill(long double);
  111. double copysign(double, double);
  112. float copysignf(float, float);
  113. long double copysignl(long double, long double);
  114. double cos(double);
  115. float cosf(float);
  116. long double cosl(long double);
  117. double cosh(double);
  118. float coshf(float);
  119. long double coshl(long double);
  120. double erf(double);
  121. float erff(float);
  122. long double erfl(long double);
  123. double erfc(double);
  124. float erfcf(float);
  125. long double erfcl(long double);
  126. double exp(double);
  127. float expf(float);
  128. long double expl(long double);
  129. double exp2(double);
  130. float exp2f(float);
  131. long double exp2l(long double);
  132. double expm1(double);
  133. float expm1f(float);
  134. long double expm1l(long double);
  135. double fabs(double);
  136. float fabsf(float);
  137. long double fabsl(long double);
  138. double fdim(double, double);
  139. float fdimf(float, float);
  140. long double fdiml(long double, long double);
  141. double floor(double);
  142. float floorf(float);
  143. long double floorl(long double);
  144. double fma(double, double, double);
  145. float fmaf(float, float, float);
  146. long double fmal(long double, long double, long double);
  147. double fmax(double, double);
  148. float fmaxf(float, float);
  149. long double fmaxl(long double, long double);
  150. double fmin(double, double);
  151. float fminf(float, float);
  152. long double fminl(long double, long double);
  153. double fmod(double, double);
  154. float fmodf(float, float);
  155. long double fmodl(long double, long double);
  156. double frexp(double, int *);
  157. float frexpf(float value, int *);
  158. long double frexpl(long double value, int *);
  159. double hypot(double, double);
  160. float hypotf(float, float);
  161. long double hypotl(long double, long double);
  162. int ilogb(double);
  163. int ilogbf(float);
  164. int ilogbl(long double);
  165. double ldexp(double, int);
  166. float ldexpf(float, int);
  167. long double ldexpl(long double, int);
  168. double lgamma(double);
  169. float lgammaf(float);
  170. long double lgammal(long double);
  171. long long llrint(double);
  172. long long llrintf(float);
  173. long long llrintl(long double);
  174. long long llround(double);
  175. long long llroundf(float);
  176. long long llroundl(long double);
  177. double log(double);
  178. float logf(float);
  179. long double logl(long double);
  180. double log10(double);
  181. float log10f(float);
  182. long double log10l(long double);
  183. double log1p(double);
  184. float log1pf(float);
  185. long double log1pl(long double);
  186. double log2(double);
  187. float log2f(float);
  188. long double log2l(long double);
  189. double logb(double);
  190. float logbf(float);
  191. long double logbl(long double);
  192. long lrint(double);
  193. long lrintf(float);
  194. long lrintl(long double);
  195. long lround(double);
  196. long lroundf(float);
  197. long lroundl(long double);
  198. double modf(double, double *);
  199. float modff(float, float *);
  200. long double modfl(long double, long double *);
  201. double nan(const char *);
  202. float nanf(const char *);
  203. long double nanl(const char *);
  204. double nearbyint(double);
  205. float nearbyintf(float);
  206. long double nearbyintl(long double);
  207. double nextafter(double, double);
  208. float nextafterf(float, float);
  209. long double nextafterl(long double, long double);
  210. double nexttoward(double, long double);
  211. float nexttowardf(float, long double);
  212. long double nexttowardl(long double, long double);
  213. double pow(double, double);
  214. float powf(float, float);
  215. long double powl(long double, long double);
  216. double remainder(double, double);
  217. float remainderf(float, float);
  218. long double remainderl(long double, long double);
  219. double remquo(double, double, int *);
  220. float remquof(float, float, int *);
  221. long double remquol(long double, long double, int *);
  222. double rint(double);
  223. float rintf(float);
  224. long double rintl(long double);
  225. double round(double);
  226. float roundf(float);
  227. long double roundl(long double);
  228. double scalbln(double, long);
  229. float scalblnf(float, long);
  230. long double scalblnl(long double, long);
  231. double scalbn(double, int);
  232. float scalbnf(float, int);
  233. long double scalbnl(long double, int);
  234. double sin(double);
  235. float sinf(float);
  236. long double sinl(long double);
  237. double sinh(double);
  238. float sinhf(float);
  239. long double sinhl(long double);
  240. double sqrt(double);
  241. float sqrtf(float);
  242. long double sqrtl(long double);
  243. double tan(double);
  244. float tanf(float);
  245. long double tanl(long double);
  246. double tanh(double);
  247. float tanhf(float);
  248. long double tanhl(long double);
  249. double tgamma(double);
  250. float tgammaf(float);
  251. long double tgammal(long double);
  252. double trunc(double);
  253. float truncf(float);
  254. long double truncl(long double);
  255. #if defined(_XOPEN_SOURCE) || defined(_GNU_SOURCE)
  256. #define MAXFLOAT 3.40282347e+38F
  257. #define M_E 2.7182818284590452354 /* e */
  258. #define M_LOG2E 1.4426950408889634074 /* log_2 e */
  259. #define M_LOG10E 0.43429448190325182765 /* log_10 e */
  260. #define M_LN2 0.69314718055994530942 /* log_e 2 */
  261. #define M_LN10 2.30258509299404568402 /* log_e 10 */
  262. #define M_PI 3.14159265358979323846 /* pi */
  263. #define M_PI_2 1.57079632679489661923 /* pi/2 */
  264. #define M_PI_4 0.78539816339744830962 /* pi/4 */
  265. #define M_1_PI 0.31830988618379067154 /* 1/pi */
  266. #define M_2_PI 0.63661977236758134308 /* 2/pi */
  267. #define M_2_SQRTPI 1.12837916709551257390 /* 2/sqrt(pi) */
  268. #define M_SQRT2 1.41421356237309504880 /* sqrt(2) */
  269. #define M_SQRT1_2 0.70710678118654752440 /* 1/sqrt(2) */
  270. extern int signgam;
  271. double j0(double);
  272. double j1(double);
  273. double jn(int, double);
  274. double y0(double);
  275. double y1(double);
  276. double yn(int, double);
  277. #endif
  278. #ifdef _GNU_SOURCE
  279. double scalb(double, double);
  280. float scalbf(float, float);
  281. long double scalbl(long double, long double);
  282. void sincos(double, double*, double*);
  283. void sincosf(float, float*, float*);
  284. void sincosl(long double, long double*, long double*);
  285. double gamma(double);
  286. float gammaf(float);
  287. long double gammal(long double);
  288. double lgamma_r(double, int*);
  289. float lgammaf_r(float, int*);
  290. long double lgammal_r(long double, int*);
  291. float j0f(float);
  292. long double j0l(long double);
  293. float j1f(float);
  294. long double j1l(long double);
  295. float jnf(int, float);
  296. long double jnl(int, long double);
  297. float y0f(float);
  298. long double y0l(long double);
  299. float y1f(float);
  300. long double y1l(long double);
  301. float ynf(int, float);
  302. long double ynl(int, long double);
  303. double exp10(double);
  304. float exp10f(float);
  305. long double exp10l(long double);
  306. double pow10(double);
  307. float pow10f(float);
  308. long double pow10l(long double);
  309. #endif
  310. #ifdef __cplusplus
  311. }
  312. #endif
  313. #endif