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1693 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 */
2168 serge 35
#define _M_LN2        0.693147180559945309417
1693 serge 36
 
37
#if defined(__GNUC__) && \
38
  ( (__GNUC__ >= 4) || \
39
    ( (__GNUC__ >= 3) && defined(__GNUC_MINOR__) && (__GNUC_MINOR__ >= 3) ) )
40
 
41
 /* gcc >= 3.3 implicitly defines builtins for HUGE_VALx values.  */
42
 
43
# ifndef HUGE_VAL
44
#  define HUGE_VAL (__builtin_huge_val())
45
# endif
46
 
47
# ifndef HUGE_VALF
48
#  define HUGE_VALF (__builtin_huge_valf())
49
# endif
50
 
51
# ifndef HUGE_VALL
52
#  define HUGE_VALL (__builtin_huge_vall())
53
# endif
54
 
55
# ifndef INFINITY
56
#  define INFINITY (__builtin_inff())
57
# endif
58
 
59
# ifndef NAN
60
#  define NAN (__builtin_nanf(""))
61
# endif
62
 
63
#else /* !gcc >= 3.3  */
64
 
65
 /*      No builtins.  Use fixed defines instead.  (All 3 HUGE plus the INFINITY
66
  * and NAN macros are required to be constant expressions.  Using a variable--
67
  * even a static const--does not meet this requirement, as it cannot be
68
  * evaluated at translation time.)
69
  *      The infinities are done using numbers that are far in excess of
70
  * something that would be expected to be encountered in a floating-point
71
  * implementation.  (A more certain way uses values from float.h, but that is
72
  * avoided because system includes are not supposed to include each other.)
73
  *      This method might produce warnings from some compilers.  (It does in
74
  * newer GCCs, but not for ones that would hit this #else.)  If this happens,
75
  * please report details to the Newlib mailing list.  */
76
 
77
 #ifndef HUGE_VAL
78
  #define HUGE_VAL (1.0e999999999)
79
 #endif
80
 
81
 #ifndef HUGE_VALF
82
  #define HUGE_VALF (1.0e999999999F)
83
 #endif
84
 
85
 #if !defined(HUGE_VALL)  &&  defined(_HAVE_LONG_DOUBLE)
86
  #define HUGE_VALL (1.0e999999999L)
87
 #endif
88
 
89
 #if !defined(INFINITY)
90
  #define INFINITY (HUGE_VALF)
91
 #endif
92
 
93
 #if !defined(NAN)
94
  #if defined(__GNUC__)  &&  defined(__cplusplus)
95
    /* Exception:  older g++ versions warn about the divide by 0 used in the
96
     * normal case (even though older gccs do not).  This trick suppresses the
97
     * warning, but causes errors for plain gcc, so is only used in the one
98
     * special case.  */
99
    static const union { __ULong __i[1]; float __d; } __Nanf = {0x7FC00000};
100
    #define NAN (__Nanf.__d)
101
  #else
102
    #define NAN (0.0F/0.0F)
103
  #endif
104
 #endif
105
 
106
#endif /* !gcc >= 3.3  */
107
 
108
/* Reentrant ANSI C functions.  */
109
 
110
#ifndef __math_68881
111
extern double atan _PARAMS((double));
112
extern double cos _PARAMS((double));
113
extern double sin _PARAMS((double));
114
extern double tan _PARAMS((double));
115
extern double tanh _PARAMS((double));
116
extern double frexp _PARAMS((double, int *));
117
extern double modf _PARAMS((double, double *));
118
extern double ceil _PARAMS((double));
119
extern double fabs _PARAMS((double));
120
extern double floor _PARAMS((double));
121
#endif /* ! defined (__math_68881) */
122
 
123
/* Non reentrant ANSI C functions.  */
124
 
125
#ifndef _REENT_ONLY
126
#ifndef __math_68881
127
extern double acos _PARAMS((double));
128
extern double asin _PARAMS((double));
129
extern double atan2 _PARAMS((double, double));
130
extern double cosh _PARAMS((double));
131
extern double sinh _PARAMS((double));
132
extern double exp _PARAMS((double));
133
extern double ldexp _PARAMS((double, int));
134
extern double log _PARAMS((double));
135
extern double log10 _PARAMS((double));
136
extern double pow _PARAMS((double, double));
137
extern double sqrt _PARAMS((double));
138
extern double fmod _PARAMS((double, double));
139
#endif /* ! defined (__math_68881) */
140
#endif /* ! defined (_REENT_ONLY) */
141
 
142
#if !defined(__STRICT_ANSI__) || defined(__cplusplus) || __STDC_VERSION__ >= 199901L
143
 
144
/* ISO C99 types and macros. */
145
 
146
#ifndef FLT_EVAL_METHOD
147
#define FLT_EVAL_METHOD 0
148
typedef float float_t;
149
typedef double double_t;
150
#endif /* FLT_EVAL_METHOD */
151
 
152
#define FP_NAN         0
153
#define FP_INFINITE    1
154
#define FP_ZERO        2
155
#define FP_SUBNORMAL   3
156
#define FP_NORMAL      4
157
 
158
#ifndef FP_ILOGB0
159
# define FP_ILOGB0 (-INT_MAX)
160
#endif
161
#ifndef FP_ILOGBNAN
162
# define FP_ILOGBNAN INT_MAX
163
#endif
164
 
165
#ifndef MATH_ERRNO
166
# define MATH_ERRNO 1
167
#endif
168
#ifndef MATH_ERREXCEPT
169
# define MATH_ERREXCEPT 2
170
#endif
171
#ifndef math_errhandling
172
# define math_errhandling MATH_ERRNO
173
#endif
174
 
175
extern int __isinff (float x);
176
extern int __isinfd (double x);
177
extern int __isnanf (float x);
178
extern int __isnand (double x);
179
extern int __fpclassifyf (float x);
180
extern int __fpclassifyd (double x);
181
extern int __signbitf (float x);
182
extern int __signbitd (double x);
183
 
184
#define fpclassify(__x) \
185
	((sizeof(__x) == sizeof(float))  ? __fpclassifyf(__x) : \
186
	__fpclassifyd(__x))
187
 
188
#ifndef isfinite
189
  #define isfinite(__y) \
190
          (__extension__ ({int __cy = fpclassify(__y); \
191
                           __cy != FP_INFINITE && __cy != FP_NAN;}))
192
#endif
193
 
194
/* Note: isinf and isnan were once functions in newlib that took double
195
 *       arguments.  C99 specifies that these names are reserved for macros
196
 *       supporting multiple floating point types.  Thus, they are
197
 *       now defined as macros.  Implementations of the old functions
198
 *       taking double arguments still exist for compatibility purposes
199
 *       (prototypes for them are in ).  */
200
#ifndef isinf
201
  #define isinf(y) (fpclassify(y) == FP_INFINITE)
202
#endif
203
 
204
#ifndef isnan
205
  #define isnan(y) (fpclassify(y) == FP_NAN)
206
#endif
207
 
208
#define isnormal(y) (fpclassify(y) == FP_NORMAL)
209
#define signbit(__x) \
210
	((sizeof(__x) == sizeof(float))  ?  __signbitf(__x) : \
211
		__signbitd(__x))
212
 
213
#define isgreater(x,y) \
214
          (__extension__ ({__typeof__(x) __x = (x); __typeof__(y) __y = (y); \
215
                           !isunordered(__x,__y) && (__x > __y);}))
216
#define isgreaterequal(x,y) \
217
          (__extension__ ({__typeof__(x) __x = (x); __typeof__(y) __y = (y); \
218
                           !isunordered(__x,__y) && (__x >= __y);}))
219
#define isless(x,y) \
220
          (__extension__ ({__typeof__(x) __x = (x); __typeof__(y) __y = (y); \
221
                           !isunordered(__x,__y) && (__x < __y);}))
222
#define islessequal(x,y) \
223
          (__extension__ ({__typeof__(x) __x = (x); __typeof__(y) __y = (y); \
224
                           !isunordered(__x,__y) && (__x <= __y);}))
225
#define islessgreater(x,y) \
226
          (__extension__ ({__typeof__(x) __x = (x); __typeof__(y) __y = (y); \
227
                           !isunordered(__x,__y) && (__x < __y || __x > __y);}))
228
 
229
#define isunordered(a,b) \
230
          (__extension__ ({__typeof__(a) __a = (a); __typeof__(b) __b = (b); \
231
                           fpclassify(__a) == FP_NAN || fpclassify(__b) == FP_NAN;}))
232
 
233
/* Non ANSI double precision functions.  */
234
 
235
extern double infinity _PARAMS((void));
236
extern double nan _PARAMS((const char *));
237
extern int finite _PARAMS((double));
238
extern double copysign _PARAMS((double, double));
239
extern double logb _PARAMS((double));
240
extern int ilogb _PARAMS((double));
241
 
242
extern double asinh _PARAMS((double));
243
extern double cbrt _PARAMS((double));
244
extern double nextafter _PARAMS((double, double));
245
extern double rint _PARAMS((double));
246
extern double scalbn _PARAMS((double, int));
247
 
248
extern double exp2 _PARAMS((double));
249
extern double scalbln _PARAMS((double, long int));
250
extern double tgamma _PARAMS((double));
251
extern double nearbyint _PARAMS((double));
252
extern long int lrint _PARAMS((double));
253
extern _LONG_LONG_TYPE int llrint _PARAMS((double));
254
extern double round _PARAMS((double));
255
extern long int lround _PARAMS((double));
256
extern long long int llround _PARAMS((double));
257
extern double trunc _PARAMS((double));
258
extern double remquo _PARAMS((double, double, int *));
259
extern double fdim _PARAMS((double, double));
260
extern double fmax _PARAMS((double, double));
261
extern double fmin _PARAMS((double, double));
262
extern double fma _PARAMS((double, double, double));
263
 
264
#ifndef __math_68881
265
extern double log1p _PARAMS((double));
266
extern double expm1 _PARAMS((double));
267
#endif /* ! defined (__math_68881) */
268
 
269
#ifndef _REENT_ONLY
270
extern double acosh _PARAMS((double));
271
extern double atanh _PARAMS((double));
272
extern double remainder _PARAMS((double, double));
273
extern double gamma _PARAMS((double));
274
extern double lgamma _PARAMS((double));
275
extern double erf _PARAMS((double));
276
extern double erfc _PARAMS((double));
277
extern double log2 _PARAMS((double));
278
#if !defined(__cplusplus)
2168 serge 279
#define log2(x) (log (x) / _M_LN2)
1693 serge 280
#endif
281
 
282
#ifndef __math_68881
283
extern double hypot _PARAMS((double, double));
284
#endif
285
 
286
#endif /* ! defined (_REENT_ONLY) */
287
 
288
/* Single precision versions of ANSI functions.  */
289
 
290
extern float atanf _PARAMS((float));
291
extern float cosf _PARAMS((float));
292
extern float sinf _PARAMS((float));
293
extern float tanf _PARAMS((float));
294
extern float tanhf _PARAMS((float));
295
extern float frexpf _PARAMS((float, int *));
296
extern float modff _PARAMS((float, float *));
297
extern float ceilf _PARAMS((float));
298
extern float fabsf _PARAMS((float));
299
extern float floorf _PARAMS((float));
300
 
301
#ifndef _REENT_ONLY
302
extern float acosf _PARAMS((float));
303
extern float asinf _PARAMS((float));
304
extern float atan2f _PARAMS((float, float));
305
extern float coshf _PARAMS((float));
306
extern float sinhf _PARAMS((float));
307
extern float expf _PARAMS((float));
308
extern float ldexpf _PARAMS((float, int));
309
extern float logf _PARAMS((float));
310
extern float log10f _PARAMS((float));
311
extern float powf _PARAMS((float, float));
312
extern float sqrtf _PARAMS((float));
313
extern float fmodf _PARAMS((float, float));
314
#endif /* ! defined (_REENT_ONLY) */
315
 
316
/* Other single precision functions.  */
317
 
318
extern float exp2f _PARAMS((float));
319
extern float scalblnf _PARAMS((float, long int));
320
extern float tgammaf _PARAMS((float));
321
extern float nearbyintf _PARAMS((float));
322
extern long int lrintf _PARAMS((float));
323
extern _LONG_LONG_TYPE llrintf _PARAMS((float));
324
extern float roundf _PARAMS((float));
325
extern long int lroundf _PARAMS((float));
326
extern long long int llroundf _PARAMS((float));
327
extern float truncf _PARAMS((float));
328
extern float remquof _PARAMS((float, float, int *));
329
extern float fdimf _PARAMS((float, float));
330
extern float fmaxf _PARAMS((float, float));
331
extern float fminf _PARAMS((float, float));
332
extern float fmaf _PARAMS((float, float, float));
333
 
334
extern float infinityf _PARAMS((void));
335
extern float nanf _PARAMS((const char *));
336
extern int finitef _PARAMS((float));
337
extern float copysignf _PARAMS((float, float));
338
extern float logbf _PARAMS((float));
339
extern int ilogbf _PARAMS((float));
340
 
341
extern float asinhf _PARAMS((float));
342
extern float cbrtf _PARAMS((float));
343
extern float nextafterf _PARAMS((float, float));
344
extern float rintf _PARAMS((float));
345
extern float scalbnf _PARAMS((float, int));
346
extern float log1pf _PARAMS((float));
347
extern float expm1f _PARAMS((float));
348
 
349
#ifndef _REENT_ONLY
350
extern float acoshf _PARAMS((float));
351
extern float atanhf _PARAMS((float));
352
extern float remainderf _PARAMS((float, float));
353
extern float gammaf _PARAMS((float));
354
extern float lgammaf _PARAMS((float));
355
extern float erff _PARAMS((float));
356
extern float erfcf _PARAMS((float));
357
extern float log2f _PARAMS((float));
358
#if !defined(__cplusplus)
2168 serge 359
#define log2f(x) (logf (x) / (float_t) _M_LN2)
1693 serge 360
#endif
361
extern float hypotf _PARAMS((float, float));
362
#endif /* ! defined (_REENT_ONLY) */
363
 
364
/* On platforms where long double equals double.  */
365
#ifdef _LDBL_EQ_DBL
366
/* Reentrant ANSI C functions.  */
367
#ifndef __math_68881
368
extern long double atanl _PARAMS((long double));
369
extern long double cosl _PARAMS((long double));
370
extern long double sinl _PARAMS((long double));
371
extern long double tanl _PARAMS((long double));
372
extern long double tanhl _PARAMS((long double));
373
extern long double frexpl _PARAMS((long double value, int *));
374
extern long double modfl _PARAMS((long double, long double *));
375
extern long double ceill _PARAMS((long double));
376
extern long double fabsl _PARAMS((long double));
377
extern long double floorl _PARAMS((long double));
378
extern long double log1pl _PARAMS((long double));
379
extern long double expm1l _PARAMS((long double));
380
#endif /* ! defined (__math_68881) */
381
/* Non reentrant ANSI C functions.  */
382
#ifndef _REENT_ONLY
383
#ifndef __math_68881
384
extern long double acosl _PARAMS((long double));
385
extern long double asinl _PARAMS((long double));
386
extern long double atan2l _PARAMS((long double, long double));
387
extern long double coshl _PARAMS((long double));
388
extern long double sinhl _PARAMS((long double));
389
extern long double expl _PARAMS((long double));
390
extern long double ldexpl _PARAMS((long double, int));
391
extern long double logl _PARAMS((long double));
392
extern long double log10l _PARAMS((long double));
393
extern long double powl _PARAMS((long double, long double));
394
extern long double sqrtl _PARAMS((long double));
395
extern long double fmodl _PARAMS((long double, long double));
396
extern long double hypotl _PARAMS((long double, long double));
397
#endif /* ! defined (__math_68881) */
398
#endif /* ! defined (_REENT_ONLY) */
399
extern long double copysignl _PARAMS((long double, long double));
400
extern long double nanl _PARAMS((const char *));
401
extern int ilogbl _PARAMS((long double));
402
extern long double asinhl _PARAMS((long double));
403
extern long double cbrtl _PARAMS((long double));
404
extern long double nextafterl _PARAMS((long double, long double));
405
extern long double rintl _PARAMS((long double));
406
extern long double scalbnl _PARAMS((long double, int));
407
extern long double exp2l _PARAMS((long double));
408
extern long double scalblnl _PARAMS((long double, long));
409
extern long double tgammal _PARAMS((long double));
410
extern long double nearbyintl _PARAMS((long double));
411
extern long int lrintl _PARAMS((long double));
412
extern long long int llrintl _PARAMS((long double));
413
extern long double roundl _PARAMS((long double));
414
extern long lroundl _PARAMS((long double));
415
extern _LONG_LONG_TYPE int llroundl _PARAMS((long double));
416
extern long double truncl _PARAMS((long double));
417
extern long double remquol _PARAMS((long double, long double, int *));
418
extern long double fdiml _PARAMS((long double, long double));
419
extern long double fmaxl _PARAMS((long double, long double));
420
extern long double fminl _PARAMS((long double, long double));
421
extern long double fmal _PARAMS((long double, long double, long double));
422
#ifndef _REENT_ONLY
423
extern long double acoshl _PARAMS((long double));
424
extern long double atanhl _PARAMS((long double));
425
extern long double remainderl _PARAMS((long double, long double));
426
extern long double lgammal _PARAMS((long double));
427
extern long double erfl _PARAMS((long double));
428
extern long double erfcl _PARAMS((long double));
429
#endif /* ! defined (_REENT_ONLY) */
430
#else /* !_LDBL_EQ_DBL */
431
#ifdef __i386__
432
/* Other long double precision functions.  */
433
extern _LONG_DOUBLE rintl _PARAMS((_LONG_DOUBLE));
434
extern long int lrintl _PARAMS((_LONG_DOUBLE));
435
extern _LONG_LONG_TYPE llrintl _PARAMS((_LONG_DOUBLE));
436
#endif /* __i386__ */
437
#endif /* !_LDBL_EQ_DBL */
438
 
439
#endif /* !defined (__STRICT_ANSI__) || defined(__cplusplus) || __STDC_VERSION__ >= 199901L */
440
 
441
#if !defined (__STRICT_ANSI__) || defined(__cplusplus)
442
 
443
extern double drem _PARAMS((double, double));
444
extern void sincos _PARAMS((double, double *, double *));
445
extern double gamma_r _PARAMS((double, int *));
446
extern double lgamma_r _PARAMS((double, int *));
447
 
448
extern double y0 _PARAMS((double));
449
extern double y1 _PARAMS((double));
450
extern double yn _PARAMS((int, double));
451
extern double j0 _PARAMS((double));
452
extern double j1 _PARAMS((double));
453
extern double jn _PARAMS((int, double));
454
 
455
extern float dremf _PARAMS((float, float));
456
extern void sincosf _PARAMS((float, float *, float *));
457
extern float gammaf_r _PARAMS((float, int *));
458
extern float lgammaf_r _PARAMS((float, int *));
459
 
460
extern float y0f _PARAMS((float));
461
extern float y1f _PARAMS((float));
462
extern float ynf _PARAMS((int, float));
463
extern float j0f _PARAMS((float));
464
extern float j1f _PARAMS((float));
465
extern float jnf _PARAMS((int, float));
466
 
467
/* GNU extensions */
468
# ifndef exp10
469
extern double exp10 _PARAMS((double));
470
# endif
471
# ifndef pow10
472
extern double pow10 _PARAMS((double));
473
# endif
474
# ifndef exp10f
475
extern float exp10f _PARAMS((float));
476
# endif
477
# ifndef pow10f
478
extern float pow10f _PARAMS((float));
479
# endif
480
 
481
#endif /* !defined (__STRICT_ANSI__) || defined(__cplusplus) */
482
 
483
#ifndef __STRICT_ANSI__
484
 
485
/* The gamma functions use a global variable, signgam.  */
486
#ifndef _REENT_ONLY
487
#define signgam (*__signgam())
488
extern int *__signgam _PARAMS((void));
489
#endif /* ! defined (_REENT_ONLY) */
490
 
491
#define __signgam_r(ptr) _REENT_SIGNGAM(ptr)
492
 
493
/* The exception structure passed to the matherr routine.  */
494
/* We have a problem when using C++ since `exception' is a reserved
495
   name in C++.  */
496
#ifdef __cplusplus
497
struct __exception
498
#else
499
struct exception
500
#endif
501
{
502
  int type;
503
  char *name;
504
  double arg1;
505
  double arg2;
506
  double retval;
507
  int err;
508
};
509
 
510
#ifdef __cplusplus
511
extern int matherr _PARAMS((struct __exception *e));
512
#else
513
extern int matherr _PARAMS((struct exception *e));
514
#endif
515
 
516
/* Values for the type field of struct exception.  */
517
 
518
#define DOMAIN 1
519
#define SING 2
520
#define OVERFLOW 3
521
#define UNDERFLOW 4
522
#define TLOSS 5
523
#define PLOSS 6
524
 
525
/* Useful constants.  */
526
 
527
#define MAXFLOAT	3.40282347e+38F
528
 
529
#define M_E		2.7182818284590452354
530
#define M_LOG2E		1.4426950408889634074
531
#define M_LOG10E	0.43429448190325182765
2168 serge 532
#define M_LN2		_M_LN2
1693 serge 533
#define M_LN10		2.30258509299404568402
534
#define M_PI		3.14159265358979323846
535
#define M_TWOPI         (M_PI * 2.0)
536
#define M_PI_2		1.57079632679489661923
537
#define M_PI_4		0.78539816339744830962
538
#define M_3PI_4		2.3561944901923448370E0
539
#define M_SQRTPI        1.77245385090551602792981
540
#define M_1_PI		0.31830988618379067154
541
#define M_2_PI		0.63661977236758134308
542
#define M_2_SQRTPI	1.12837916709551257390
543
#define M_SQRT2		1.41421356237309504880
544
#define M_SQRT1_2	0.70710678118654752440
545
#define M_LN2LO         1.9082149292705877000E-10
546
#define M_LN2HI         6.9314718036912381649E-1
547
#define M_SQRT3	1.73205080756887719000
548
#define M_IVLN10        0.43429448190325182765 /* 1 / log(10) */
2168 serge 549
#define M_LOG2_E        _M_LN2
1693 serge 550
#define M_INVLN2        1.4426950408889633870E0  /* 1 / log(2) */
551
 
552
/* Global control over fdlibm error handling.  */
553
 
554
enum __fdlibm_version
555
{
556
  __fdlibm_ieee = -1,
557
  __fdlibm_svid,
558
  __fdlibm_xopen,
559
  __fdlibm_posix
560
};
561
 
562
#define _LIB_VERSION_TYPE enum __fdlibm_version
563
#define _LIB_VERSION __fdlib_version
564
 
565
extern __IMPORT _LIB_VERSION_TYPE _LIB_VERSION;
566
 
567
#define _IEEE_  __fdlibm_ieee
568
#define _SVID_  __fdlibm_svid
569
#define _XOPEN_ __fdlibm_xopen
570
#define _POSIX_ __fdlibm_posix
571
 
572
#endif /* ! defined (__STRICT_ANSI__) */
573
 
574
_END_STD_C
575
 
576
#ifdef __FAST_MATH__
577
#include 
578
#endif
579
 
580
#endif /* _MATH_H_ */