math.h 10 KB

123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177178179180181182183184185186187188189190191192193194195196197198199200201202203204205206207208209210211212213214215216217218219220221222223224225226227228229230231232233234235236237238239240241242243244245246247248249250251252253254255256257258259260261262263264265266267268269270271272273274275276277278279280281282283284285286287288289290291292293294295296297298299300301302303304305306307308309310311312313314315316317318319320321322323324325326327328329330331332333334335336337338339340341342343344345346347348349350351352353354355356357358359360361362363364365366367368369370371372373374375376377378379380381382383384385386387388389390391
  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_EXCEPT 2
  24. #define math_errhandling 2
  25. #define FP_ILOGBNAN (((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. #define __FLOAT_BITS(f) (((union { float __f; __uint32_t __i; }){ (f) }).__i)
  36. #define __DOUBLE_BITS(f) (((union { double __f; __uint64_t __i; }){ (f) }).__i)
  37. #define fpclassify(x) ( \
  38. sizeof(x) == sizeof(float) ? __fpclassifyf(x) : \
  39. sizeof(x) == sizeof(double) ? __fpclassify(x) : \
  40. __fpclassifyl(x) )
  41. #define isinf(x) ( \
  42. sizeof(x) == sizeof(float) ? (__FLOAT_BITS(x) & 0x7fffffff) == 0x7f800000 : \
  43. sizeof(x) == sizeof(double) ? (__DOUBLE_BITS(x) & (__uint64_t)-1>>1) == (__uint64_t)0x7ff<<52 : \
  44. __fpclassifyl(x) == FP_INFINITE)
  45. #define isnan(x) ( \
  46. sizeof(x) == sizeof(float) ? (__FLOAT_BITS(x) & 0x7fffffff) > 0x7f800000 : \
  47. sizeof(x) == sizeof(double) ? (__DOUBLE_BITS(x) & (__uint64_t)-1>>1) > (__uint64_t)0x7ff<<52 : \
  48. __fpclassifyl(x) == FP_NAN)
  49. #define isnormal(x) ( \
  50. sizeof(x) == sizeof(float) ? ((__FLOAT_BITS(x)+0x00800000) & 0x7fffffff) >= 0x01000000 : \
  51. sizeof(x) == sizeof(double) ? ((__DOUBLE_BITS(x)+((__uint64_t)1<<52)) & (__uint64_t)-1>>1) >= (__uint64_t)1<<53 : \
  52. __fpclassifyl(x) == FP_NORMAL)
  53. #define isfinite(x) ( \
  54. sizeof(x) == sizeof(float) ? (__FLOAT_BITS(x) & 0x7fffffff) < 0x7f800000 : \
  55. sizeof(x) == sizeof(double) ? (__DOUBLE_BITS(x) & (__uint64_t)-1>>1) < (__uint64_t)0x7ff<<52 : \
  56. __fpclassifyl(x) > FP_INFINITE)
  57. int __signbit(double);
  58. int __signbitf(float);
  59. int __signbitl(long double);
  60. #define signbit(x) ( \
  61. sizeof(x) == sizeof(float) ? !!(__FLOAT_BITS(x) & 0x80000000) : \
  62. sizeof(x) == sizeof(double) ? !!(__DOUBLE_BITS(x) & (__uint64_t)1<<63) : \
  63. __signbitl(x) )
  64. #define isunordered(x,y) (isnan((x)) ? ((void)(y),1) : isnan((y)))
  65. #if __STDC_VERSION__ >= 199901L
  66. inline
  67. #endif
  68. static int __isrel(long double __x, long double __y, int __rel)
  69. {
  70. if (isunordered(__x, __y)) return 0;
  71. if (__rel==-2) return __x < __y;
  72. if (__rel==2) return __x > __y;
  73. if (__rel==-1) return __x <= __y;
  74. if (__rel==1) return __x >= __y;
  75. return __x != __y;
  76. }
  77. #define isless(x,y) __isrel((x), (y), -2)
  78. #define islessequal(x,y) __isrel((x), (y), -1)
  79. #define islessgreater(x,y) __isrel((x), (y), 0)
  80. #define isgreaterequal(x,y) __isrel((x), (y), 1)
  81. #define isgreater(x,y) __isrel((x), (y), 2)
  82. double acos(double);
  83. float acosf(float);
  84. long double acosl(long double);
  85. double acosh(double);
  86. float acoshf(float);
  87. long double acoshl(long double);
  88. double asin(double);
  89. float asinf(float);
  90. long double asinl(long double);
  91. double asinh(double);
  92. float asinhf(float);
  93. long double asinhl(long double);
  94. double atan(double);
  95. float atanf(float);
  96. long double atanl(long double);
  97. double atan2(double, double);
  98. float atan2f(float, float);
  99. long double atan2l(long double, long double);
  100. double atanh(double);
  101. float atanhf(float);
  102. long double atanhl(long double);
  103. double cbrt(double);
  104. float cbrtf(float);
  105. long double cbrtl(long double);
  106. double ceil(double);
  107. float ceilf(float);
  108. long double ceill(long double);
  109. double copysign(double, double);
  110. float copysignf(float, float);
  111. long double copysignl(long double, long double);
  112. double cos(double);
  113. float cosf(float);
  114. long double cosl(long double);
  115. double cosh(double);
  116. float coshf(float);
  117. long double coshl(long double);
  118. double erf(double);
  119. float erff(float);
  120. long double erfl(long double);
  121. double erfc(double);
  122. float erfcf(float);
  123. long double erfcl(long double);
  124. double exp(double);
  125. float expf(float);
  126. long double expl(long double);
  127. double exp2(double);
  128. float exp2f(float);
  129. long double exp2l(long double);
  130. double expm1(double);
  131. float expm1f(float);
  132. long double expm1l(long double);
  133. double fabs(double);
  134. float fabsf(float);
  135. long double fabsl(long double);
  136. double fdim(double, double);
  137. float fdimf(float, float);
  138. long double fdiml(long double, long double);
  139. double floor(double);
  140. float floorf(float);
  141. long double floorl(long double);
  142. double fma(double, double, double);
  143. float fmaf(float, float, float);
  144. long double fmal(long double, long double, long double);
  145. double fmax(double, double);
  146. float fmaxf(float, float);
  147. long double fmaxl(long double, long double);
  148. double fmin(double, double);
  149. float fminf(float, float);
  150. long double fminl(long double, long double);
  151. double fmod(double, double);
  152. float fmodf(float, float);
  153. long double fmodl(long double, long double);
  154. double frexp(double, int *);
  155. float frexpf(float value, int *);
  156. long double frexpl(long double value, int *);
  157. double hypot(double, double);
  158. float hypotf(float, float);
  159. long double hypotl(long double, long double);
  160. int ilogb(double);
  161. int ilogbf(float);
  162. int ilogbl(long double);
  163. double ldexp(double, int);
  164. float ldexpf(float, int);
  165. long double ldexpl(long double, int);
  166. double lgamma(double);
  167. float lgammaf(float);
  168. long double lgammal(long double);
  169. long long llrint(double);
  170. long long llrintf(float);
  171. long long llrintl(long double);
  172. long long llround(double);
  173. long long llroundf(float);
  174. long long llroundl(long double);
  175. double log(double);
  176. float logf(float);
  177. long double logl(long double);
  178. double log10(double);
  179. float log10f(float);
  180. long double log10l(long double);
  181. double log1p(double);
  182. float log1pf(float);
  183. long double log1pl(long double);
  184. double log2(double);
  185. float log2f(float);
  186. long double log2l(long double);
  187. double logb(double);
  188. float logbf(float);
  189. long double logbl(long double);
  190. long lrint(double);
  191. long lrintf(float);
  192. long lrintl(long double);
  193. long lround(double);
  194. long lroundf(float);
  195. long lroundl(long double);
  196. double modf(double, double *);
  197. float modff(float, float *);
  198. long double modfl(long double, long double *);
  199. double nan(const char *);
  200. float nanf(const char *);
  201. long double nanl(const char *);
  202. double nearbyint(double);
  203. float nearbyintf(float);
  204. long double nearbyintl(long double);
  205. double nextafter(double, double);
  206. float nextafterf(float, float);
  207. long double nextafterl(long double, long double);
  208. double nexttoward(double, long double);
  209. float nexttowardf(float, long double);
  210. long double nexttowardl(long double, long double);
  211. double pow(double, double);
  212. float powf(float, float);
  213. long double powl(long double, long double);
  214. double remainder(double, double);
  215. float remainderf(float, float);
  216. long double remainderl(long double, long double);
  217. double remquo(double, double, int *);
  218. float remquof(float, float, int *);
  219. long double remquol(long double, long double, int *);
  220. double rint(double);
  221. float rintf(float);
  222. long double rintl(long double);
  223. double round(double);
  224. float roundf(float);
  225. long double roundl(long double);
  226. double scalbln(double, long);
  227. float scalblnf(float, long);
  228. long double scalblnl(long double, long);
  229. double scalbn(double, int);
  230. float scalbnf(float, int);
  231. long double scalbnl(long double, int);
  232. double sin(double);
  233. float sinf(float);
  234. long double sinl(long double);
  235. double sinh(double);
  236. float sinhf(float);
  237. long double sinhl(long double);
  238. double sqrt(double);
  239. float sqrtf(float);
  240. long double sqrtl(long double);
  241. double tan(double);
  242. float tanf(float);
  243. long double tanl(long double);
  244. double tanh(double);
  245. float tanhf(float);
  246. long double tanhl(long double);
  247. double tgamma(double);
  248. float tgammaf(float);
  249. long double tgammal(long double);
  250. double trunc(double);
  251. float truncf(float);
  252. long double truncl(long double);
  253. #if defined(_XOPEN_SOURCE) || defined(_GNU_SOURCE)
  254. #define MAXFLOAT 3.40282347e+38F
  255. #define M_E 2.7182818284590452354 /* e */
  256. #define M_LOG2E 1.4426950408889634074 /* log_2 e */
  257. #define M_LOG10E 0.43429448190325182765 /* log_10 e */
  258. #define M_LN2 0.69314718055994530942 /* log_e 2 */
  259. #define M_LN10 2.30258509299404568402 /* log_e 10 */
  260. #define M_PI 3.14159265358979323846 /* pi */
  261. #define M_PI_2 1.57079632679489661923 /* pi/2 */
  262. #define M_PI_4 0.78539816339744830962 /* pi/4 */
  263. #define M_1_PI 0.31830988618379067154 /* 1/pi */
  264. #define M_2_PI 0.63661977236758134308 /* 2/pi */
  265. #define M_2_SQRTPI 1.12837916709551257390 /* 2/sqrt(pi) */
  266. #define M_SQRT2 1.41421356237309504880 /* sqrt(2) */
  267. #define M_SQRT1_2 0.70710678118654752440 /* 1/sqrt(2) */
  268. extern int signgam;
  269. double gamma(double);
  270. float gammaf(float);
  271. long double gammal(long double);
  272. double lgamma_r(double, int*);
  273. float lgammaf_r(float, int*);
  274. long double lgammal_r(long double, int*);
  275. double j0(double);
  276. float j0f(float);
  277. long double j0l(long double);
  278. double j1(double);
  279. float j1f(float);
  280. long double j1l(long double);
  281. double jn(int, double);
  282. float jnf(int, float);
  283. long double jnl(int, long double);
  284. double y0(double);
  285. float y0f(float);
  286. long double y0l(long double);
  287. double y1(double);
  288. float y1f(float);
  289. long double y1l(long double);
  290. double yn(int, double);
  291. float ynf(int, float);
  292. long double ynl(int, long double);
  293. #endif
  294. #ifdef _GNU_SOURCE
  295. double scalb(double, double);
  296. float scalbf(float, float);
  297. long double scalbl(long double, long double);
  298. #endif
  299. #ifdef __cplusplus
  300. }
  301. #endif
  302. #endif