1#ifndef _MATH_H
2#define _MATH_H
3
4#ifdef __cplusplus
5extern "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
51int __fpclassify(double);
52int __fpclassifyf(float);
53int __fpclassifyl(long double);
54
55static __inline unsigned __FLOAT_BITS(float __f)
56{
57	union {float __f; unsigned __i;} __u;
58	__u.__f = __f;
59	return __u.__i;
60}
61static __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
93int __signbit(double);
94int __signbitf(float);
95int __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) \
105static __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
135double      acos(double);
136float       acosf(float);
137long double acosl(long double);
138
139double      acosh(double);
140float       acoshf(float);
141long double acoshl(long double);
142
143double      asin(double);
144float       asinf(float);
145long double asinl(long double);
146
147double      asinh(double);
148float       asinhf(float);
149long double asinhl(long double);
150
151double      atan(double);
152float       atanf(float);
153long double atanl(long double);
154
155double      atan2(double, double);
156float       atan2f(float, float);
157long double atan2l(long double, long double);
158
159double      atanh(double);
160float       atanhf(float);
161long double atanhl(long double);
162
163double      cbrt(double);
164float       cbrtf(float);
165long double cbrtl(long double);
166
167double      ceil(double);
168float       ceilf(float);
169long double ceill(long double);
170
171double      copysign(double, double);
172float       copysignf(float, float);
173long double copysignl(long double, long double);
174
175double      cos(double);
176float       cosf(float);
177long double cosl(long double);
178
179double      cosh(double);
180float       coshf(float);
181long double coshl(long double);
182
183double      erf(double);
184float       erff(float);
185long double erfl(long double);
186
187double      erfc(double);
188float       erfcf(float);
189long double erfcl(long double);
190
191double      exp(double);
192float       expf(float);
193long double expl(long double);
194
195double      exp2(double);
196float       exp2f(float);
197long double exp2l(long double);
198
199double      expm1(double);
200float       expm1f(float);
201long double expm1l(long double);
202
203double      fabs(double);
204float       fabsf(float);
205long double fabsl(long double);
206
207double      fdim(double, double);
208float       fdimf(float, float);
209long double fdiml(long double, long double);
210
211double      floor(double);
212float       floorf(float);
213long double floorl(long double);
214
215double      fma(double, double, double);
216float       fmaf(float, float, float);
217long double fmal(long double, long double, long double);
218
219double      fmax(double, double);
220float       fmaxf(float, float);
221long double fmaxl(long double, long double);
222
223double      fmin(double, double);
224float       fminf(float, float);
225long double fminl(long double, long double);
226
227double      fmod(double, double);
228float       fmodf(float, float);
229long double fmodl(long double, long double);
230
231double      frexp(double, int *);
232float       frexpf(float, int *);
233long double frexpl(long double, int *);
234
235double      hypot(double, double);
236float       hypotf(float, float);
237long double hypotl(long double, long double);
238
239int         ilogb(double);
240int         ilogbf(float);
241int         ilogbl(long double);
242
243double      ldexp(double, int);
244float       ldexpf(float, int);
245long double ldexpl(long double, int);
246
247double      lgamma(double);
248float       lgammaf(float);
249long double lgammal(long double);
250
251long long   llrint(double);
252long long   llrintf(float);
253long long   llrintl(long double);
254
255long long   llround(double);
256long long   llroundf(float);
257long long   llroundl(long double);
258
259double      log(double);
260float       logf(float);
261long double logl(long double);
262
263double      log10(double);
264float       log10f(float);
265long double log10l(long double);
266
267double      log1p(double);
268float       log1pf(float);
269long double log1pl(long double);
270
271double      log2(double);
272float       log2f(float);
273long double log2l(long double);
274
275double      logb(double);
276float       logbf(float);
277long double logbl(long double);
278
279long        lrint(double);
280long        lrintf(float);
281long        lrintl(long double);
282
283long        lround(double);
284long        lroundf(float);
285long        lroundl(long double);
286
287double      modf(double, double *);
288float       modff(float, float *);
289long double modfl(long double, long double *);
290
291double      nan(const char *);
292float       nanf(const char *);
293long double nanl(const char *);
294
295double      nearbyint(double);
296float       nearbyintf(float);
297long double nearbyintl(long double);
298
299double      nextafter(double, double);
300float       nextafterf(float, float);
301long double nextafterl(long double, long double);
302
303double      nexttoward(double, long double);
304float       nexttowardf(float, long double);
305long double nexttowardl(long double, long double);
306
307double      pow(double, double);
308float       powf(float, float);
309long double powl(long double, long double);
310
311double      remainder(double, double);
312float       remainderf(float, float);
313long double remainderl(long double, long double);
314
315double      remquo(double, double, int *);
316float       remquof(float, float, int *);
317long double remquol(long double, long double, int *);
318
319double      rint(double);
320float       rintf(float);
321long double rintl(long double);
322
323double      round(double);
324float       roundf(float);
325long double roundl(long double);
326
327double      scalbln(double, long);
328float       scalblnf(float, long);
329long double scalblnl(long double, long);
330
331double      scalbn(double, int);
332float       scalbnf(float, int);
333long double scalbnl(long double, int);
334
335double      sin(double);
336float       sinf(float);
337long double sinl(long double);
338
339double      sinh(double);
340float       sinhf(float);
341long double sinhl(long double);
342
343double      sqrt(double);
344float       sqrtf(float);
345long double sqrtl(long double);
346
347double      tan(double);
348float       tanf(float);
349long double tanl(long double);
350
351double      tanh(double);
352float       tanhf(float);
353long double tanhl(long double);
354
355double      tgamma(double);
356float       tgammaf(float);
357long double tgammal(long double);
358
359double      trunc(double);
360float       truncf(float);
361long 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
384extern int signgam;
385
386double      j0(double);
387double      j1(double);
388double      jn(int, double);
389
390double      y0(double);
391double      y1(double);
392double      yn(int, double);
393#endif
394
395#if defined(_GNU_SOURCE) || defined(_BSD_SOURCE)
396#define HUGE            3.40282346638528859812e+38F
397
398double      drem(double, double);
399float       dremf(float, float);
400
401int         finite(double);
402int         finitef(float);
403
404double      scalb(double, double);
405float       scalbf(float, float);
406
407double      significand(double);
408float       significandf(float);
409
410double      lgamma_r(double, int*);
411float       lgammaf_r(float, int*);
412
413float       j0f(float);
414float       j1f(float);
415float       jnf(int, float);
416
417float       y0f(float);
418float       y1f(float);
419float       ynf(int, float);
420#endif
421
422#ifdef _GNU_SOURCE
423long double lgammal_r(long double, int*);
424
425void        sincos(double, double*, double*);
426void        sincosf(float, float*, float*);
427void        sincosl(long double, long double*, long double*);
428
429double      exp10(double);
430float       exp10f(float);
431long double exp10l(long double);
432
433double      pow10(double);
434float       pow10f(float);
435long double pow10l(long double);
436#endif
437
438#ifdef __cplusplus
439}
440#endif
441
442#endif
443