summaryrefslogtreecommitdiff
path: root/include/math.h
blob: c4da4116c595f757d9264b591b9f5adf0b38c57c (plain) (blame)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
#ifndef _MATH_H
#define _MATH_H

#ifdef __cplusplus
extern "C" {
#endif

#include <features.h>

#define __NEED_float_t
#define __NEED_double_t
#define __NEED___uint16_t
#define __NEED___uint32_t
#define __NEED___uint64_t
#include <bits/alltypes.h>

#if 100*__GNUC__+__GNUC_MINOR__ >= 303
#define NAN       __builtin_nanf("")
#define INFINITY  __builtin_inff()
#else
#define NAN       (0.0f/0.0f)
#define INFINITY  1e40f
#endif

#define HUGE_VALF INFINITY
#define HUGE_VAL  ((double)INFINITY)
#define HUGE_VALL ((long double)INFINITY)

#define MATH_ERRNO  1
#define MATH_ERREXCEPT 2
#define math_errhandling 2

#define FP_ILOGBNAN (-1-(int)(((unsigned)-1)>>1))
#define FP_ILOGB0 FP_ILOGBNAN

#define FP_NAN       0
#define FP_INFINITE  1
#define FP_ZERO      2
#define FP_SUBNORMAL 3
#define FP_NORMAL    4

int __fpclassify(double);
int __fpclassifyf(float);
int __fpclassifyl(long double);

union __float_repr { float __f; __uint32_t __i; };
union __double_repr { double __f; __uint64_t __i; };

#define __FLOAT_BITS(f) (((union __float_repr){ (float)(f) }).__i)
#define __DOUBLE_BITS(f) (((union __double_repr){ (double)(f) }).__i)

#define fpclassify(x) ( \
	sizeof(x) == sizeof(float) ? __fpclassifyf(x) : \
	sizeof(x) == sizeof(double) ? __fpclassify(x) : \
	__fpclassifyl(x) )

#define isinf(x) ( \
	sizeof(x) == sizeof(float) ? (__FLOAT_BITS(x) & 0x7fffffff) == 0x7f800000 : \
	sizeof(x) == sizeof(double) ? (__DOUBLE_BITS(x) & (__uint64_t)-1>>1) == (__uint64_t)0x7ff<<52 : \
	__fpclassifyl(x) == FP_INFINITE)

#define isnan(x) ( \
	sizeof(x) == sizeof(float) ? (__FLOAT_BITS(x) & 0x7fffffff) > 0x7f800000 : \
	sizeof(x) == sizeof(double) ? (__DOUBLE_BITS(x) & (__uint64_t)-1>>1) > (__uint64_t)0x7ff<<52 : \
	__fpclassifyl(x) == FP_NAN)

#define isnormal(x) ( \
	sizeof(x) == sizeof(float) ? ((__FLOAT_BITS(x)+0x00800000) & 0x7fffffff) >= 0x01000000 : \
	sizeof(x) == sizeof(double) ? ((__DOUBLE_BITS(x)+((__uint64_t)1<<52)) & (__uint64_t)-1>>1) >= (__uint64_t)1<<53 : \
	__fpclassifyl(x) == FP_NORMAL)

#define isfinite(x) ( \
	sizeof(x) == sizeof(float) ? (__FLOAT_BITS(x) & 0x7fffffff) < 0x7f800000 : \
	sizeof(x) == sizeof(double) ? (__DOUBLE_BITS(x) & (__uint64_t)-1>>1) < (__uint64_t)0x7ff<<52 : \
	__fpclassifyl(x) > FP_INFINITE)

int __signbit(double);
int __signbitf(float);
int __signbitl(long double);

#define signbit(x) ( \
	sizeof(x) == sizeof(float) ? (int)(__FLOAT_BITS(x)>>31) : \
	sizeof(x) == sizeof(double) ? (int)(__DOUBLE_BITS(x)>>63) : \
	__signbitl(x) )

#define isunordered(x,y) (isnan((x)) ? ((void)(y),1) : isnan((y)))

#define __ISREL_DEF(rel, op, type) \
static __inline int __is##rel(type __x, type __y) \
{ return !isunordered(__x,__y) && __x op __y; }

__ISREL_DEF(lessf, <, float)
__ISREL_DEF(less, <, double)
__ISREL_DEF(lessl, <, long double)
__ISREL_DEF(lessequalf, <=, float)
__ISREL_DEF(lessequal, <=, double)
__ISREL_DEF(lessequall, <=, long double)
__ISREL_DEF(lessgreaterf, !=, float)
__ISREL_DEF(lessgreater, !=, double)
__ISREL_DEF(lessgreaterl, !=, long double)
__ISREL_DEF(greaterf, >, float)
__ISREL_DEF(greater, >, double)
__ISREL_DEF(greaterl, >, long double)
__ISREL_DEF(greaterequalf, >=, float)
__ISREL_DEF(greaterequal, >=, double)
__ISREL_DEF(greaterequall, >=, long double)

#define __tg_pred_2(x, y, p) ( \
	sizeof((x)+(y)) == sizeof(float) ? p##f(x, y) : \
	sizeof((x)+(y)) == sizeof(double) ? p(x, y) : \
	p##l(x, y) )

#define isless(x, y)            __tg_pred_2(x, y, __isless)
#define islessequal(x, y)       __tg_pred_2(x, y, __islessequal)
#define islessgreater(x, y)     __tg_pred_2(x, y, __islessgreater)
#define isgreater(x, y)         __tg_pred_2(x, y, __isgreater)
#define isgreaterequal(x, y)    __tg_pred_2(x, y, __isgreaterequal)

double      acos(double);
float       acosf(float);
long double acosl(long double);

double      acosh(double);
float       acoshf(float);
long double acoshl(long double);

double      asin(double);
float       asinf(float);
long double asinl(long double);

double      asinh(double);
float       asinhf(float);
long double asinhl(long double);

double      atan(double);
float       atanf(float);
long double atanl(long double);

double      atan2(double, double);
float       atan2f(float, float);
long double atan2l(long double, long double);

double      atanh(double);
float       atanhf(float);
long double atanhl(long double);

double      cbrt(double);
float       cbrtf(float);
long double cbrtl(long double);

double      ceil(double);
float       ceilf(float);
long double ceill(long double);

double      copysign(double, double);
float       copysignf(float, float);
long double copysignl(long double, long double);

double      cos(double);
float       cosf(float);
long double cosl(long double);

double      cosh(double);
float       coshf(float);
long double coshl(long double);

double      erf(double);
float       erff(float);
long double erfl(long double);

double      erfc(double);
float       erfcf(float);
long double erfcl(long double);

double      exp(double);
float       expf(float);
long double expl(long double);

double      exp2(double);
float       exp2f(float);
long double exp2l(long double);

double      expm1(double);
float       expm1f(float);
long double expm1l(long double);

double      fabs(double);
float       fabsf(float);
long double fabsl(long double);

double      fdim(double, double);
float       fdimf(float, float);
long double fdiml(long double, long double);

double      floor(double);
float       floorf(float);
long double floorl(long double);

double      fma(double, double, double);
float       fmaf(float, float, float);
long double fmal(long double, long double, long double);

double      fmax(double, double);
float       fmaxf(float, float);
long double fmaxl(long double, long double);

double      fmin(double, double);
float       fminf(float, float);
long double fminl(long double, long double);

double      fmod(double, double);
float       fmodf(float, float);
long double fmodl(long double, long double);

double      frexp(double, int *);
float       frexpf(float, int *);
long double frexpl(long double, int *);

double      hypot(double, double);
float       hypotf(float, float);
long double hypotl(long double, long double);

int         ilogb(double);
int         ilogbf(float);
int         ilogbl(long double);

double      ldexp(double, int);
float       ldexpf(float, int);
long double ldexpl(long double, int);

double      lgamma(double);
float       lgammaf(float);
long double lgammal(long double);

long long   llrint(double);
long long   llrintf(float);
long long   llrintl(long double);

long long   llround(double);
long long   llroundf(float);
long long   llroundl(long double);

double      log(double);
float       logf(float);
long double logl(long double);

double      log10(double);
float       log10f(float);
long double log10l(long double);

double      log1p(double);
float       log1pf(float);
long double log1pl(long double);

double      log2(double);
float       log2f(float);
long double log2l(long double);

double      logb(double);
float       logbf(float);
long double logbl(long double);

long        lrint(double);
long        lrintf(float);
long        lrintl(long double);

long        lround(double);
long        lroundf(float);
long        lroundl(long double);

double      modf(double, double *);
float       modff(float, float *);
long double modfl(long double, long double *);

double      nan(const char *);
float       nanf(const char *);
long double nanl(const char *);

double      nearbyint(double);
float       nearbyintf(float);
long double nearbyintl(long double);

double      nextafter(double, double);
float       nextafterf(float, float);
long double nextafterl(long double, long double);

double      nexttoward(double, long double);
float       nexttowardf(float, long double);
long double nexttowardl(long double, long double);

double      pow(double, double);
float       powf(float, float);
long double powl(long double, long double);

double      remainder(double, double);
float       remainderf(float, float);
long double remainderl(long double, long double);

double      remquo(double, double, int *);
float       remquof(float, float, int *);
long double remquol(long double, long double, int *);

double      rint(double);
float       rintf(float);
long double rintl(long double);

double      round(double);
float       roundf(float);
long double roundl(long double);

double      scalbln(double, long);
float       scalblnf(float, long);
long double scalblnl(long double, long);

double      scalbn(double, int);
float       scalbnf(float, int);
long double scalbnl(long double, int);

double      sin(double);
float       sinf(float);
long double sinl(long double);

double      sinh(double);
float       sinhf(float);
long double sinhl(long double);

double      sqrt(double);
float       sqrtf(float);
long double sqrtl(long double);

double      tan(double);
float       tanf(float);
long double tanl(long double);

double      tanh(double);
float       tanhf(float);
long double tanhl(long double);

double      tgamma(double);
float       tgammaf(float);
long double tgammal(long double);

double      trunc(double);
float       truncf(float);
long double truncl(long double);


#if defined(_XOPEN_SOURCE) || defined(_BSD_SOURCE)
#undef  MAXFLOAT
#define MAXFLOAT        3.40282347e+38F
#endif

#if defined(_XOPEN_SOURCE) || defined(_GNU_SOURCE) || defined(_BSD_SOURCE)
#define M_E             2.7182818284590452354   /* e */
#define M_LOG2E         1.4426950408889634074   /* log_2 e */
#define M_LOG10E        0.43429448190325182765  /* log_10 e */
#define M_LN2           0.69314718055994530942  /* log_e 2 */
#define M_LN10          2.30258509299404568402  /* log_e 10 */
#define M_PI            3.14159265358979323846  /* pi */
#define M_PI_2          1.57079632679489661923  /* pi/2 */
#define M_PI_4          0.78539816339744830962  /* pi/4 */
#define M_1_PI          0.31830988618379067154  /* 1/pi */
#define M_2_PI          0.63661977236758134308  /* 2/pi */
#define M_2_SQRTPI      1.12837916709551257390  /* 2/sqrt(pi) */
#define M_SQRT2         1.41421356237309504880  /* sqrt(2) */
#define M_SQRT1_2       0.70710678118654752440  /* 1/sqrt(2) */

extern int signgam;

double      j0(double);
double      j1(double);
double      jn(int, double);

double      y0(double);
double      y1(double);
double      yn(int, double);
#endif

#if defined(_GNU_SOURCE) || defined(_BSD_SOURCE)
#define HUGE            3.40282347e+38F

double      scalb(double, double);
float       scalbf(float, float);

double      significand(double);
float       significandf(float);

double      lgamma_r(double, int*);
float       lgammaf_r(float, int*);

float       j0f(float);
float       j1f(float);
float       jnf(int, float);

float       y0f(float);
float       y1f(float);
float       ynf(int, float);
#endif

#ifdef _GNU_SOURCE
long double lgammal_r(long double, int*);

void        sincos(double, double*, double*);
void        sincosf(float, float*, float*);
void        sincosl(long double, long double*, long double*);

double      exp10(double);
float       exp10f(float);
long double exp10l(long double);

double      pow10(double);
float       pow10f(float);
long double pow10l(long double);
#endif

#ifdef __cplusplus
}
#endif

#endif