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Colin Cross07a58322022-02-08 19:45:27 -08001#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