math.h 11 KB

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