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-(int)(((unsigned)-1)>>1))
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
39int __fpclassify(double);
40int __fpclassifyf(float);
41int __fpclassifyl(long double);
42
43static __inline unsigned __FLOAT_BITS(float __f)
44{
45	union {float __f; unsigned __i;} __u;
46	__u.__f = __f;
47	return __u.__i;
48}
49static __inline unsigned long long __DOUBLE_BITS(double __f)
50{
51	union {double __f; unsigned long long __i;} __u;
52	__u.__f = __f;
53	return __u.__i;
54}
55
56#define fpclassify(x) ( \
57	sizeof(x) == sizeof(float) ? __fpclassifyf(x) : \
58	sizeof(x) == sizeof(double) ? __fpclassify(x) : \
59	__fpclassifyl(x) )
60
61#define isinf(x) ( \
62	sizeof(x) == sizeof(float) ? (__FLOAT_BITS(x) & 0x7fffffff) == 0x7f800000 : \
63	sizeof(x) == sizeof(double) ? (__DOUBLE_BITS(x) & -1ULL>>1) == 0x7ffULL<<52 : \
64	__fpclassifyl(x) == FP_INFINITE)
65
66#define isnan(x) ( \
67	sizeof(x) == sizeof(float) ? (__FLOAT_BITS(x) & 0x7fffffff) > 0x7f800000 : \
68	sizeof(x) == sizeof(double) ? (__DOUBLE_BITS(x) & -1ULL>>1) > 0x7ffULL<<52 : \
69	__fpclassifyl(x) == FP_NAN)
70
71#define isnormal(x) ( \
72	sizeof(x) == sizeof(float) ? ((__FLOAT_BITS(x)+0x00800000) & 0x7fffffff) >= 0x01000000 : \
73	sizeof(x) == sizeof(double) ? ((__DOUBLE_BITS(x)+(1ULL<<52)) & -1ULL>>1) >= 1ULL<<53 : \
74	__fpclassifyl(x) == FP_NORMAL)
75
76#define isfinite(x) ( \
77	sizeof(x) == sizeof(float) ? (__FLOAT_BITS(x) & 0x7fffffff) < 0x7f800000 : \
78	sizeof(x) == sizeof(double) ? (__DOUBLE_BITS(x) & -1ULL>>1) < 0x7ffULL<<52 : \
79	__fpclassifyl(x) > FP_INFINITE)
80
81int __signbit(double);
82int __signbitf(float);
83int __signbitl(long double);
84
85#define signbit(x) ( \
86	sizeof(x) == sizeof(float) ? (int)(__FLOAT_BITS(x)>>31) : \
87	sizeof(x) == sizeof(double) ? (int)(__DOUBLE_BITS(x)>>63) : \
88	__signbitl(x) )
89
90#define isunordered(x,y) (isnan((x)) ? ((void)(y),1) : isnan((y)))
91
92#define __ISREL_DEF(rel, op, type) \
93static __inline int __is##rel(type __x, type __y) \
94{ return !isunordered(__x,__y) && __x op __y; }
95
96__ISREL_DEF(lessf, <, float_t)
97__ISREL_DEF(less, <, double_t)
98__ISREL_DEF(lessl, <, long double)
99__ISREL_DEF(lessequalf, <=, float_t)
100__ISREL_DEF(lessequal, <=, double_t)
101__ISREL_DEF(lessequall, <=, long double)
102__ISREL_DEF(lessgreaterf, !=, float_t)
103__ISREL_DEF(lessgreater, !=, double_t)
104__ISREL_DEF(lessgreaterl, !=, long double)
105__ISREL_DEF(greaterf, >, float_t)
106__ISREL_DEF(greater, >, double_t)
107__ISREL_DEF(greaterl, >, long double)
108__ISREL_DEF(greaterequalf, >=, float_t)
109__ISREL_DEF(greaterequal, >=, double_t)
110__ISREL_DEF(greaterequall, >=, long double)
111
112#define __tg_pred_2(x, y, p) ( \
113	sizeof((x)+(y)) == sizeof(float) ? p##f(x, y) : \
114	sizeof((x)+(y)) == sizeof(double) ? p(x, y) : \
115	p##l(x, y) )
116
117#define isless(x, y)            __tg_pred_2(x, y, __isless)
118#define islessequal(x, y)       __tg_pred_2(x, y, __islessequal)
119#define islessgreater(x, y)     __tg_pred_2(x, y, __islessgreater)
120#define isgreater(x, y)         __tg_pred_2(x, y, __isgreater)
121#define isgreaterequal(x, y)    __tg_pred_2(x, y, __isgreaterequal)
122
123double      acos(double);
124float       acosf(float);
125long double acosl(long double);
126
127double      acosh(double);
128float       acoshf(float);
129long double acoshl(long double);
130
131double      asin(double);
132float       asinf(float);
133long double asinl(long double);
134
135double      asinh(double);
136float       asinhf(float);
137long double asinhl(long double);
138
139double      atan(double);
140float       atanf(float);
141long double atanl(long double);
142
143double      atan2(double, double);
144float       atan2f(float, float);
145long double atan2l(long double, long double);
146
147double      atanh(double);
148float       atanhf(float);
149long double atanhl(long double);
150
151double      cbrt(double);
152float       cbrtf(float);
153long double cbrtl(long double);
154
155double      ceil(double);
156float       ceilf(float);
157long double ceill(long double);
158
159double      copysign(double, double);
160float       copysignf(float, float);
161long double copysignl(long double, long double);
162
163double      cos(double);
164float       cosf(float);
165long double cosl(long double);
166
167double      cosh(double);
168float       coshf(float);
169long double coshl(long double);
170
171double      erf(double);
172float       erff(float);
173long double erfl(long double);
174
175double      erfc(double);
176float       erfcf(float);
177long double erfcl(long double);
178
179double      exp(double);
180float       expf(float);
181long double expl(long double);
182
183double      exp2(double);
184float       exp2f(float);
185long double exp2l(long double);
186
187double      expm1(double);
188float       expm1f(float);
189long double expm1l(long double);
190
191double      fabs(double);
192float       fabsf(float);
193long double fabsl(long double);
194
195double      fdim(double, double);
196float       fdimf(float, float);
197long double fdiml(long double, long double);
198
199double      floor(double);
200float       floorf(float);
201long double floorl(long double);
202
203double      fma(double, double, double);
204float       fmaf(float, float, float);
205long double fmal(long double, long double, long double);
206
207double      fmax(double, double);
208float       fmaxf(float, float);
209long double fmaxl(long double, long double);
210
211double      fmin(double, double);
212float       fminf(float, float);
213long double fminl(long double, long double);
214
215double      fmod(double, double);
216float       fmodf(float, float);
217long double fmodl(long double, long double);
218
219double      frexp(double, int *);
220float       frexpf(float, int *);
221long double frexpl(long double, int *);
222
223double      hypot(double, double);
224float       hypotf(float, float);
225long double hypotl(long double, long double);
226
227int         ilogb(double);
228int         ilogbf(float);
229int         ilogbl(long double);
230
231double      ldexp(double, int);
232float       ldexpf(float, int);
233long double ldexpl(long double, int);
234
235double      lgamma(double);
236float       lgammaf(float);
237long double lgammal(long double);
238
239long long   llrint(double);
240long long   llrintf(float);
241long long   llrintl(long double);
242
243long long   llround(double);
244long long   llroundf(float);
245long long   llroundl(long double);
246
247double      log(double);
248float       logf(float);
249long double logl(long double);
250
251double      log10(double);
252float       log10f(float);
253long double log10l(long double);
254
255double      log1p(double);
256float       log1pf(float);
257long double log1pl(long double);
258
259double      log2(double);
260float       log2f(float);
261long double log2l(long double);
262
263double      logb(double);
264float       logbf(float);
265long double logbl(long double);
266
267long        lrint(double);
268long        lrintf(float);
269long        lrintl(long double);
270
271long        lround(double);
272long        lroundf(float);
273long        lroundl(long double);
274
275double      modf(double, double *);
276float       modff(float, float *);
277long double modfl(long double, long double *);
278
279double      nan(const char *);
280float       nanf(const char *);
281long double nanl(const char *);
282
283double      nearbyint(double);
284float       nearbyintf(float);
285long double nearbyintl(long double);
286
287double      nextafter(double, double);
288float       nextafterf(float, float);
289long double nextafterl(long double, long double);
290
291double      nexttoward(double, long double);
292float       nexttowardf(float, long double);
293long double nexttowardl(long double, long double);
294
295double      pow(double, double);
296float       powf(float, float);
297long double powl(long double, long double);
298
299double      remainder(double, double);
300float       remainderf(float, float);
301long double remainderl(long double, long double);
302
303double      remquo(double, double, int *);
304float       remquof(float, float, int *);
305long double remquol(long double, long double, int *);
306
307double      rint(double);
308float       rintf(float);
309long double rintl(long double);
310
311double      round(double);
312float       roundf(float);
313long double roundl(long double);
314
315double      scalbln(double, long);
316float       scalblnf(float, long);
317long double scalblnl(long double, long);
318
319double      scalbn(double, int);
320float       scalbnf(float, int);
321long double scalbnl(long double, int);
322
323double      sin(double);
324float       sinf(float);
325long double sinl(long double);
326
327double      sinh(double);
328float       sinhf(float);
329long double sinhl(long double);
330
331double      sqrt(double);
332float       sqrtf(float);
333long double sqrtl(long double);
334
335double      tan(double);
336float       tanf(float);
337long double tanl(long double);
338
339double      tanh(double);
340float       tanhf(float);
341long double tanhl(long double);
342
343double      tgamma(double);
344float       tgammaf(float);
345long double tgammal(long double);
346
347double      trunc(double);
348float       truncf(float);
349long double truncl(long double);
350
351
352#if defined(_XOPEN_SOURCE) || defined(_BSD_SOURCE)
353#undef  MAXFLOAT
354#define MAXFLOAT        3.40282346638528859812e+38F
355#endif
356
357#if defined(_XOPEN_SOURCE) || defined(_GNU_SOURCE) || defined(_BSD_SOURCE)
358#define M_E             2.7182818284590452354   /* e */
359#define M_LOG2E         1.4426950408889634074   /* log_2 e */
360#define M_LOG10E        0.43429448190325182765  /* log_10 e */
361#define M_LN2           0.69314718055994530942  /* log_e 2 */
362#define M_LN10          2.30258509299404568402  /* log_e 10 */
363#define M_PI            3.14159265358979323846  /* pi */
364#define M_PI_2          1.57079632679489661923  /* pi/2 */
365#define M_PI_4          0.78539816339744830962  /* pi/4 */
366#define M_1_PI          0.31830988618379067154  /* 1/pi */
367#define M_2_PI          0.63661977236758134308  /* 2/pi */
368#define M_2_SQRTPI      1.12837916709551257390  /* 2/sqrt(pi) */
369#define M_SQRT2         1.41421356237309504880  /* sqrt(2) */
370#define M_SQRT1_2       0.70710678118654752440  /* 1/sqrt(2) */
371
372extern int signgam;
373
374double      j0(double);
375double      j1(double);
376double      jn(int, double);
377
378double      y0(double);
379double      y1(double);
380double      yn(int, double);
381#endif
382
383#if defined(_GNU_SOURCE) || defined(_BSD_SOURCE)
384#define HUGE            3.40282346638528859812e+38F
385
386double      drem(double, double);
387float       dremf(float, float);
388
389int         finite(double);
390int         finitef(float);
391
392double      scalb(double, double);
393float       scalbf(float, float);
394
395double      significand(double);
396float       significandf(float);
397
398double      lgamma_r(double, int*);
399float       lgammaf_r(float, int*);
400
401float       j0f(float);
402float       j1f(float);
403float       jnf(int, float);
404
405float       y0f(float);
406float       y1f(float);
407float       ynf(int, float);
408#endif
409
410#ifdef _GNU_SOURCE
411long double lgammal_r(long double, int*);
412
413void        sincos(double, double*, double*);
414void        sincosf(float, float*, float*);
415void        sincosl(long double, long double*, long double*);
416
417double      exp10(double);
418float       exp10f(float);
419long double exp10l(long double);
420
421double      pow10(double);
422float       pow10f(float);
423long double pow10l(long double);
424#endif
425
426#ifdef __cplusplus
427}
428#endif
429
430#endif
431