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4349 Serge 1
#ifndef  _MATH_H_
2
 
3
#define  _MATH_H_
4
 
5
#include 
6
#include 
7
#include "_ansi.h"
8
 
9
_BEGIN_STD_C
10
 
11
/* __dmath, __fmath, and __ldmath are only here for backwards compatibility
12
 * in case any code used them.  They are no longer used by Newlib, itself,
13
 * other than legacy.  */
14
union __dmath
15
{
16
  double d;
17
  __ULong i[2];
18
};
19
 
20
union __fmath
21
{
22
  float f;
23
  __ULong i[1];
24
};
25
 
26
#if defined(_HAVE_LONG_DOUBLE)
27
union __ldmath
28
{
29
  long double ld;
30
  __ULong i[4];
31
};
32
#endif
33
 
34
/* Natural log of 2 */
35
#define _M_LN2        0.693147180559945309417
36
 
4921 Serge 37
#if __GNUC_PREREQ (3, 3)
4349 Serge 38
 /* gcc >= 3.3 implicitly defines builtins for HUGE_VALx values.  */
39
 
40
# ifndef HUGE_VAL
41
#  define HUGE_VAL (__builtin_huge_val())
42
# endif
43
 
44
# ifndef HUGE_VALF
45
#  define HUGE_VALF (__builtin_huge_valf())
46
# endif
47
 
48
# ifndef HUGE_VALL
49
#  define HUGE_VALL (__builtin_huge_vall())
50
# endif
51
 
52
# ifndef INFINITY
53
#  define INFINITY (__builtin_inff())
54
# endif
55
 
56
# ifndef NAN
57
#  define NAN (__builtin_nanf(""))
58
# endif
59
 
60
#else /* !gcc >= 3.3  */
61
 
62
 /*      No builtins.  Use fixed defines instead.  (All 3 HUGE plus the INFINITY
63
  * and NAN macros are required to be constant expressions.  Using a variable--
64
  * even a static const--does not meet this requirement, as it cannot be
65
  * evaluated at translation time.)
66
  *      The infinities are done using numbers that are far in excess of
67
  * something that would be expected to be encountered in a floating-point
68
  * implementation.  (A more certain way uses values from float.h, but that is
69
  * avoided because system includes are not supposed to include each other.)
70
  *      This method might produce warnings from some compilers.  (It does in
71
  * newer GCCs, but not for ones that would hit this #else.)  If this happens,
72
  * please report details to the Newlib mailing list.  */
73
 
74
 #ifndef HUGE_VAL
75
  #define HUGE_VAL (1.0e999999999)
76
 #endif
77
 
78
 #ifndef HUGE_VALF
79
  #define HUGE_VALF (1.0e999999999F)
80
 #endif
81
 
82
 #if !defined(HUGE_VALL)  &&  defined(_HAVE_LONG_DOUBLE)
83
  #define HUGE_VALL (1.0e999999999L)
84
 #endif
85
 
86
 #if !defined(INFINITY)
87
  #define INFINITY (HUGE_VALF)
88
 #endif
89
 
90
 #if !defined(NAN)
91
  #if defined(__GNUC__)  &&  defined(__cplusplus)
92
    /* Exception:  older g++ versions warn about the divide by 0 used in the
93
     * normal case (even though older gccs do not).  This trick suppresses the
94
     * warning, but causes errors for plain gcc, so is only used in the one
95
     * special case.  */
96
    static const union { __ULong __i[1]; float __d; } __Nanf = {0x7FC00000};
97
    #define NAN (__Nanf.__d)
98
  #else
99
    #define NAN (0.0F/0.0F)
100
  #endif
101
 #endif
102
 
103
#endif /* !gcc >= 3.3  */
104
 
105
/* Reentrant ANSI C functions.  */
106
 
107
#ifndef __math_68881
108
extern double atan _PARAMS((double));
109
extern double cos _PARAMS((double));
110
extern double sin _PARAMS((double));
111
extern double tan _PARAMS((double));
112
extern double tanh _PARAMS((double));
113
extern double frexp _PARAMS((double, int *));
114
extern double modf _PARAMS((double, double *));
115
extern double ceil _PARAMS((double));
116
extern double fabs _PARAMS((double));
117
extern double floor _PARAMS((double));
118
#endif /* ! defined (__math_68881) */
119
 
120
/* Non reentrant ANSI C functions.  */
121
 
122
#ifndef _REENT_ONLY
123
#ifndef __math_68881
124
extern double acos _PARAMS((double));
125
extern double asin _PARAMS((double));
126
extern double atan2 _PARAMS((double, double));
127
extern double cosh _PARAMS((double));
128
extern double sinh _PARAMS((double));
129
extern double exp _PARAMS((double));
130
extern double ldexp _PARAMS((double, int));
131
extern double log _PARAMS((double));
132
extern double log10 _PARAMS((double));
133
extern double pow _PARAMS((double, double));
134
extern double sqrt _PARAMS((double));
135
extern double fmod _PARAMS((double, double));
136
#endif /* ! defined (__math_68881) */
137
#endif /* ! defined (_REENT_ONLY) */
138
 
139
#if !defined(__STRICT_ANSI__) || defined(__cplusplus) || __STDC_VERSION__ >= 199901L
140
 
141
/* ISO C99 types and macros. */
142
 
4921 Serge 143
/* FIXME:  FLT_EVAL_METHOD should somehow be gotten from float.h (which is hard,
144
 * considering that the standard says the includes it defines should not
145
 * include other includes that it defines) and that value used.  (This can be
146
 * solved, but autoconf has a bug which makes the solution more difficult, so
147
 * it has been skipped for now.)  */
148
#if !defined(FLT_EVAL_METHOD) && defined(__FLT_EVAL_METHOD__)
149
  #define FLT_EVAL_METHOD __FLT_EVAL_METHOD__
150
  #define __TMP_FLT_EVAL_METHOD
4349 Serge 151
#endif /* FLT_EVAL_METHOD */
4921 Serge 152
#if defined FLT_EVAL_METHOD
153
  #if FLT_EVAL_METHOD == 0
154
    typedef float  float_t;
155
    typedef double double_t;
156
   #elif FLT_EVAL_METHOD == 1
157
    typedef double float_t;
158
    typedef double double_t;
159
   #elif FLT_EVAL_METHOD == 2
160
    typedef long double float_t;
161
    typedef long double double_t;
162
   #else
163
    /* Implementation-defined.  Assume float_t and double_t have been
164
     * defined previously for this configuration (e.g. config.h). */
165
  #endif
166
#else
167
    /* Assume basic definitions.  */
168
    typedef float  float_t;
169
    typedef double double_t;
170
#endif
171
#if defined(__TMP_FLT_EVAL_METHOD)
172
  #undef FLT_EVAL_METHOD
173
#endif
4349 Serge 174
 
175
#define FP_NAN         0
176
#define FP_INFINITE    1
177
#define FP_ZERO        2
178
#define FP_SUBNORMAL   3
179
#define FP_NORMAL      4
180
 
181
#ifndef FP_ILOGB0
182
# define FP_ILOGB0 (-INT_MAX)
183
#endif
184
#ifndef FP_ILOGBNAN
185
# define FP_ILOGBNAN INT_MAX
186
#endif
187
 
188
#ifndef MATH_ERRNO
189
# define MATH_ERRNO 1
190
#endif
191
#ifndef MATH_ERREXCEPT
192
# define MATH_ERREXCEPT 2
193
#endif
194
#ifndef math_errhandling
195
# define math_errhandling MATH_ERRNO
196
#endif
197
 
198
extern int __isinff (float x);
199
extern int __isinfd (double x);
200
extern int __isnanf (float x);
201
extern int __isnand (double x);
202
extern int __fpclassifyf (float x);
203
extern int __fpclassifyd (double x);
204
extern int __signbitf (float x);
205
extern int __signbitd (double x);
206
 
207
#define fpclassify(__x) \
208
	((sizeof(__x) == sizeof(float))  ? __fpclassifyf(__x) : \
209
	__fpclassifyd(__x))
210
 
211
#ifndef isfinite
212
  #define isfinite(__y) \
213
          (__extension__ ({int __cy = fpclassify(__y); \
214
                           __cy != FP_INFINITE && __cy != FP_NAN;}))
215
#endif
216
 
217
/* Note: isinf and isnan were once functions in newlib that took double
218
 *       arguments.  C99 specifies that these names are reserved for macros
219
 *       supporting multiple floating point types.  Thus, they are
220
 *       now defined as macros.  Implementations of the old functions
221
 *       taking double arguments still exist for compatibility purposes
222
 *       (prototypes for them are in ).  */
223
#ifndef isinf
224
  #define isinf(y) (fpclassify(y) == FP_INFINITE)
225
#endif
226
 
227
#ifndef isnan
228
  #define isnan(y) (fpclassify(y) == FP_NAN)
229
#endif
230
 
231
#define isnormal(y) (fpclassify(y) == FP_NORMAL)
232
#define signbit(__x) \
233
	((sizeof(__x) == sizeof(float))  ?  __signbitf(__x) : \
234
		__signbitd(__x))
235
 
236
#define isgreater(x,y) \
237
          (__extension__ ({__typeof__(x) __x = (x); __typeof__(y) __y = (y); \
238
                           !isunordered(__x,__y) && (__x > __y);}))
239
#define isgreaterequal(x,y) \
240
          (__extension__ ({__typeof__(x) __x = (x); __typeof__(y) __y = (y); \
241
                           !isunordered(__x,__y) && (__x >= __y);}))
242
#define isless(x,y) \
243
          (__extension__ ({__typeof__(x) __x = (x); __typeof__(y) __y = (y); \
244
                           !isunordered(__x,__y) && (__x < __y);}))
245
#define islessequal(x,y) \
246
          (__extension__ ({__typeof__(x) __x = (x); __typeof__(y) __y = (y); \
247
                           !isunordered(__x,__y) && (__x <= __y);}))
248
#define islessgreater(x,y) \
249
          (__extension__ ({__typeof__(x) __x = (x); __typeof__(y) __y = (y); \
250
                           !isunordered(__x,__y) && (__x < __y || __x > __y);}))
251
 
252
#define isunordered(a,b) \
253
          (__extension__ ({__typeof__(a) __a = (a); __typeof__(b) __b = (b); \
254
                           fpclassify(__a) == FP_NAN || fpclassify(__b) == FP_NAN;}))
255
 
256
/* Non ANSI double precision functions.  */
257
 
258
extern double infinity _PARAMS((void));
259
extern double nan _PARAMS((const char *));
260
extern int finite _PARAMS((double));
261
extern double copysign _PARAMS((double, double));
262
extern double logb _PARAMS((double));
263
extern int ilogb _PARAMS((double));
264
 
265
extern double asinh _PARAMS((double));
266
extern double cbrt _PARAMS((double));
267
extern double nextafter _PARAMS((double, double));
268
extern double rint _PARAMS((double));
269
extern double scalbn _PARAMS((double, int));
270
 
271
extern double exp2 _PARAMS((double));
272
extern double scalbln _PARAMS((double, long int));
273
extern double tgamma _PARAMS((double));
274
extern double nearbyint _PARAMS((double));
275
extern long int lrint _PARAMS((double));
276
extern _LONG_LONG_TYPE int llrint _PARAMS((double));
277
extern double round _PARAMS((double));
278
extern long int lround _PARAMS((double));
279
extern long long int llround _PARAMS((double));
280
extern double trunc _PARAMS((double));
281
extern double remquo _PARAMS((double, double, int *));
282
extern double fdim _PARAMS((double, double));
283
extern double fmax _PARAMS((double, double));
284
extern double fmin _PARAMS((double, double));
285
extern double fma _PARAMS((double, double, double));
286
 
287
#ifndef __math_68881
288
extern double log1p _PARAMS((double));
289
extern double expm1 _PARAMS((double));
290
#endif /* ! defined (__math_68881) */
291
 
292
#ifndef _REENT_ONLY
293
extern double acosh _PARAMS((double));
294
extern double atanh _PARAMS((double));
295
extern double remainder _PARAMS((double, double));
296
extern double gamma _PARAMS((double));
297
extern double lgamma _PARAMS((double));
298
extern double erf _PARAMS((double));
299
extern double erfc _PARAMS((double));
300
extern double log2 _PARAMS((double));
301
#if !defined(__cplusplus)
302
#define log2(x) (log (x) / _M_LN2)
303
#endif
304
 
305
#ifndef __math_68881
306
extern double hypot _PARAMS((double, double));
307
#endif
308
 
309
#endif /* ! defined (_REENT_ONLY) */
310
 
311
/* Single precision versions of ANSI functions.  */
312
 
313
extern float atanf _PARAMS((float));
314
extern float cosf _PARAMS((float));
315
extern float sinf _PARAMS((float));
316
extern float tanf _PARAMS((float));
317
extern float tanhf _PARAMS((float));
318
extern float frexpf _PARAMS((float, int *));
319
extern float modff _PARAMS((float, float *));
320
extern float ceilf _PARAMS((float));
321
extern float fabsf _PARAMS((float));
322
extern float floorf _PARAMS((float));
323
 
324
#ifndef _REENT_ONLY
325
extern float acosf _PARAMS((float));
326
extern float asinf _PARAMS((float));
327
extern float atan2f _PARAMS((float, float));
328
extern float coshf _PARAMS((float));
329
extern float sinhf _PARAMS((float));
330
extern float expf _PARAMS((float));
331
extern float ldexpf _PARAMS((float, int));
332
extern float logf _PARAMS((float));
333
extern float log10f _PARAMS((float));
334
extern float powf _PARAMS((float, float));
335
extern float sqrtf _PARAMS((float));
336
extern float fmodf _PARAMS((float, float));
337
#endif /* ! defined (_REENT_ONLY) */
338
 
339
/* Other single precision functions.  */
340
 
341
extern float exp2f _PARAMS((float));
342
extern float scalblnf _PARAMS((float, long int));
343
extern float tgammaf _PARAMS((float));
344
extern float nearbyintf _PARAMS((float));
345
extern long int lrintf _PARAMS((float));
346
extern _LONG_LONG_TYPE llrintf _PARAMS((float));
347
extern float roundf _PARAMS((float));
348
extern long int lroundf _PARAMS((float));
349
extern long long int llroundf _PARAMS((float));
350
extern float truncf _PARAMS((float));
351
extern float remquof _PARAMS((float, float, int *));
352
extern float fdimf _PARAMS((float, float));
353
extern float fmaxf _PARAMS((float, float));
354
extern float fminf _PARAMS((float, float));
355
extern float fmaf _PARAMS((float, float, float));
356
 
357
extern float infinityf _PARAMS((void));
358
extern float nanf _PARAMS((const char *));
359
extern int finitef _PARAMS((float));
360
extern float copysignf _PARAMS((float, float));
361
extern float logbf _PARAMS((float));
362
extern int ilogbf _PARAMS((float));
363
 
364
extern float asinhf _PARAMS((float));
365
extern float cbrtf _PARAMS((float));
366
extern float nextafterf _PARAMS((float, float));
367
extern float rintf _PARAMS((float));
368
extern float scalbnf _PARAMS((float, int));
369
extern float log1pf _PARAMS((float));
370
extern float expm1f _PARAMS((float));
371
 
372
#ifndef _REENT_ONLY
373
extern float acoshf _PARAMS((float));
374
extern float atanhf _PARAMS((float));
375
extern float remainderf _PARAMS((float, float));
376
extern float gammaf _PARAMS((float));
377
extern float lgammaf _PARAMS((float));
378
extern float erff _PARAMS((float));
379
extern float erfcf _PARAMS((float));
380
extern float log2f _PARAMS((float));
381
extern float hypotf _PARAMS((float, float));
382
#endif /* ! defined (_REENT_ONLY) */
383
 
384
/* On platforms where long double equals double.  */
385
#ifdef _LDBL_EQ_DBL
386
/* Reentrant ANSI C functions.  */
387
#ifndef __math_68881
388
extern long double atanl _PARAMS((long double));
389
extern long double cosl _PARAMS((long double));
390
extern long double sinl _PARAMS((long double));
391
extern long double tanl _PARAMS((long double));
392
extern long double tanhl _PARAMS((long double));
393
extern long double frexpl _PARAMS((long double value, int *));
394
extern long double modfl _PARAMS((long double, long double *));
395
extern long double ceill _PARAMS((long double));
396
extern long double fabsl _PARAMS((long double));
397
extern long double floorl _PARAMS((long double));
398
extern long double log1pl _PARAMS((long double));
399
extern long double expm1l _PARAMS((long double));
400
#endif /* ! defined (__math_68881) */
401
/* Non reentrant ANSI C functions.  */
402
#ifndef _REENT_ONLY
403
#ifndef __math_68881
404
extern long double acosl _PARAMS((long double));
405
extern long double asinl _PARAMS((long double));
406
extern long double atan2l _PARAMS((long double, long double));
407
extern long double coshl _PARAMS((long double));
408
extern long double sinhl _PARAMS((long double));
409
extern long double expl _PARAMS((long double));
410
extern long double ldexpl _PARAMS((long double, int));
411
extern long double logl _PARAMS((long double));
412
extern long double log10l _PARAMS((long double));
413
extern long double powl _PARAMS((long double, long double));
414
extern long double sqrtl _PARAMS((long double));
415
extern long double fmodl _PARAMS((long double, long double));
416
extern long double hypotl _PARAMS((long double, long double));
417
#endif /* ! defined (__math_68881) */
418
#endif /* ! defined (_REENT_ONLY) */
419
extern long double copysignl _PARAMS((long double, long double));
420
extern long double nanl _PARAMS((const char *));
421
extern int ilogbl _PARAMS((long double));
422
extern long double asinhl _PARAMS((long double));
423
extern long double cbrtl _PARAMS((long double));
424
extern long double nextafterl _PARAMS((long double, long double));
425
extern long double rintl _PARAMS((long double));
426
extern long double scalbnl _PARAMS((long double, int));
427
extern long double exp2l _PARAMS((long double));
428
extern long double scalblnl _PARAMS((long double, long));
429
extern long double tgammal _PARAMS((long double));
430
extern long double nearbyintl _PARAMS((long double));
431
extern long int lrintl _PARAMS((long double));
432
extern long long int llrintl _PARAMS((long double));
433
extern long double roundl _PARAMS((long double));
434
extern long lroundl _PARAMS((long double));
435
extern _LONG_LONG_TYPE int llroundl _PARAMS((long double));
436
extern long double truncl _PARAMS((long double));
437
extern long double remquol _PARAMS((long double, long double, int *));
438
extern long double fdiml _PARAMS((long double, long double));
439
extern long double fmaxl _PARAMS((long double, long double));
440
extern long double fminl _PARAMS((long double, long double));
441
extern long double fmal _PARAMS((long double, long double, long double));
442
#ifndef _REENT_ONLY
443
extern long double acoshl _PARAMS((long double));
444
extern long double atanhl _PARAMS((long double));
445
extern long double remainderl _PARAMS((long double, long double));
446
extern long double lgammal _PARAMS((long double));
447
extern long double erfl _PARAMS((long double));
448
extern long double erfcl _PARAMS((long double));
449
#endif /* ! defined (_REENT_ONLY) */
450
#else /* !_LDBL_EQ_DBL */
451
#ifdef __i386__
452
/* Other long double precision functions.  */
453
extern _LONG_DOUBLE rintl _PARAMS((_LONG_DOUBLE));
454
extern long int lrintl _PARAMS((_LONG_DOUBLE));
455
extern _LONG_LONG_TYPE llrintl _PARAMS((_LONG_DOUBLE));
456
#endif /* __i386__ */
457
#endif /* !_LDBL_EQ_DBL */
458
 
459
#endif /* !defined (__STRICT_ANSI__) || defined(__cplusplus) || __STDC_VERSION__ >= 199901L */
460
 
461
#if !defined (__STRICT_ANSI__) || defined(__cplusplus)
462
 
463
extern double drem _PARAMS((double, double));
464
extern void sincos _PARAMS((double, double *, double *));
465
extern double gamma_r _PARAMS((double, int *));
466
extern double lgamma_r _PARAMS((double, int *));
467
 
468
extern double y0 _PARAMS((double));
469
extern double y1 _PARAMS((double));
470
extern double yn _PARAMS((int, double));
471
extern double j0 _PARAMS((double));
472
extern double j1 _PARAMS((double));
473
extern double jn _PARAMS((int, double));
474
 
475
extern float dremf _PARAMS((float, float));
476
extern void sincosf _PARAMS((float, float *, float *));
477
extern float gammaf_r _PARAMS((float, int *));
478
extern float lgammaf_r _PARAMS((float, int *));
479
 
480
extern float y0f _PARAMS((float));
481
extern float y1f _PARAMS((float));
482
extern float ynf _PARAMS((int, float));
483
extern float j0f _PARAMS((float));
484
extern float j1f _PARAMS((float));
485
extern float jnf _PARAMS((int, float));
486
 
487
/* GNU extensions */
488
# ifndef exp10
489
extern double exp10 _PARAMS((double));
490
# endif
491
# ifndef pow10
492
extern double pow10 _PARAMS((double));
493
# endif
494
# ifndef exp10f
495
extern float exp10f _PARAMS((float));
496
# endif
497
# ifndef pow10f
498
extern float pow10f _PARAMS((float));
499
# endif
500
 
501
#endif /* !defined (__STRICT_ANSI__) || defined(__cplusplus) */
502
 
503
#ifndef __STRICT_ANSI__
504
 
505
/* The gamma functions use a global variable, signgam.  */
506
#ifndef _REENT_ONLY
507
#define signgam (*__signgam())
508
extern int *__signgam _PARAMS((void));
509
#endif /* ! defined (_REENT_ONLY) */
510
 
511
#define __signgam_r(ptr) _REENT_SIGNGAM(ptr)
512
 
513
/* The exception structure passed to the matherr routine.  */
514
/* We have a problem when using C++ since `exception' is a reserved
515
   name in C++.  */
516
#ifdef __cplusplus
517
struct __exception
518
#else
519
struct exception
520
#endif
521
{
522
  int type;
523
  char *name;
524
  double arg1;
525
  double arg2;
526
  double retval;
527
  int err;
528
};
529
 
530
#ifdef __cplusplus
531
extern int matherr _PARAMS((struct __exception *e));
532
#else
533
extern int matherr _PARAMS((struct exception *e));
534
#endif
535
 
536
/* Values for the type field of struct exception.  */
537
 
538
#define DOMAIN 1
539
#define SING 2
540
#define OVERFLOW 3
541
#define UNDERFLOW 4
542
#define TLOSS 5
543
#define PLOSS 6
544
 
545
/* Useful constants.  */
546
 
547
#define MAXFLOAT	3.40282347e+38F
548
 
549
#define M_E		2.7182818284590452354
550
#define M_LOG2E		1.4426950408889634074
551
#define M_LOG10E	0.43429448190325182765
552
#define M_LN2		_M_LN2
553
#define M_LN10		2.30258509299404568402
554
#define M_PI		3.14159265358979323846
555
#define M_TWOPI         (M_PI * 2.0)
556
#define M_PI_2		1.57079632679489661923
557
#define M_PI_4		0.78539816339744830962
558
#define M_3PI_4		2.3561944901923448370E0
559
#define M_SQRTPI        1.77245385090551602792981
560
#define M_1_PI		0.31830988618379067154
561
#define M_2_PI		0.63661977236758134308
562
#define M_2_SQRTPI	1.12837916709551257390
563
#define M_SQRT2		1.41421356237309504880
564
#define M_SQRT1_2	0.70710678118654752440
565
#define M_LN2LO         1.9082149292705877000E-10
566
#define M_LN2HI         6.9314718036912381649E-1
567
#define M_SQRT3	1.73205080756887719000
568
#define M_IVLN10        0.43429448190325182765 /* 1 / log(10) */
569
#define M_LOG2_E        _M_LN2
570
#define M_INVLN2        1.4426950408889633870E0  /* 1 / log(2) */
571
 
572
/* Global control over fdlibm error handling.  */
573
 
574
enum __fdlibm_version
575
{
576
  __fdlibm_ieee = -1,
577
  __fdlibm_svid,
578
  __fdlibm_xopen,
579
  __fdlibm_posix
580
};
581
 
582
#define _LIB_VERSION_TYPE enum __fdlibm_version
583
#define _LIB_VERSION __fdlib_version
584
 
585
extern __IMPORT _LIB_VERSION_TYPE _LIB_VERSION;
586
 
587
#define _IEEE_  __fdlibm_ieee
588
#define _SVID_  __fdlibm_svid
589
#define _XOPEN_ __fdlibm_xopen
590
#define _POSIX_ __fdlibm_posix
591
 
592
#endif /* ! defined (__STRICT_ANSI__) */
593
 
594
_END_STD_C
595
 
596
#ifdef __FAST_MATH__
597
#include 
598
#endif
599
 
600
#endif /* _MATH_H_ */