math.h raw
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
443