1 /*
2 * ====================================================
3 * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
4 *
5 * Developed at SunPro, a Sun Microsystems, Inc. business.
6 * Permission to use, copy, modify, and distribute this
7 * software is freely granted, provided that this notice
8 * is preserved.
9 * ====================================================
10 */
11
12 /*
13 * from: @(#)fdlibm.h 5.1 93/09/24
14 */
15
16 #ifndef _MATH_H_
17 #define _MATH_H_
18
19 #include <sys/_types.h>
20 #include <machine/_limits.h>
21
22 /*
23 * ANSI/POSIX
24 */
25 extern const union __infinity_un {
26 unsigned char __uc[8];
27 double __ud;
28 } __infinity;
29
30 extern const union __nan_un {
31 unsigned char __uc[sizeof(float)];
32 float __uf;
33 } __nan;
34
35 #if __GNUC_PREREQ__(3, 3)
36 #define __MATH_BUILTIN_CONSTANTS
37 #endif
38
39 #if __GNUC_PREREQ__(3, 0)
40 #define __MATH_BUILTIN_RELOPS
41 #endif
42
43 #ifdef __MATH_BUILTIN_CONSTANTS
44 #define HUGE_VAL __builtin_huge_val()
45 #else
46 #define HUGE_VAL (__infinity.__ud)
47 #endif
48
49 #if __ISO_C_VISIBLE >= 1999
50 #define FP_ILOGB0 (-__INT_MAX)
51 #define FP_ILOGBNAN __INT_MAX
52
53 #ifdef __MATH_BUILTIN_CONSTANTS
54 #define HUGE_VALF __builtin_huge_valf()
55 #define HUGE_VALL __builtin_huge_vall()
56 #define INFINITY __builtin_inff()
57 #define NAN __builtin_nanf("")
58 #else
59 #define HUGE_VALF (float)HUGE_VAL
60 #define HUGE_VALL (long double)HUGE_VAL
61 #define INFINITY HUGE_VALF
62 #define NAN (__nan.__uf)
63 #endif /* __MATH_BUILTIN_CONSTANTS */
64
65 #define MATH_ERRNO 1
66 #define MATH_ERREXCEPT 2
67 #define math_errhandling MATH_ERREXCEPT
68
69 #define FP_FAST_FMAF 1
70
71 /* Symbolic constants to classify floating point numbers. */
72 #define FP_INFINITE 0x01
73 #define FP_NAN 0x02
74 #define FP_NORMAL 0x04
75 #define FP_SUBNORMAL 0x08
76 #define FP_ZERO 0x10
77
78 #if __STDC_VERSION__ >= 201112L || __has_extension(c_generic_selections)
79 #define __fp_type_select(x, f, d, ld) __extension__ _Generic((x), \
80 float: f(x), \
81 double: d(x), \
82 long double: ld(x))
83 #elif __GNUC_PREREQ__(3, 1) && !defined(__cplusplus)
84 #define __fp_type_select(x, f, d, ld) __builtin_choose_expr( \
85 __builtin_types_compatible_p(__typeof(x), long double), ld(x), \
86 __builtin_choose_expr( \
87 __builtin_types_compatible_p(__typeof(x), double), d(x), \
88 __builtin_choose_expr( \
89 __builtin_types_compatible_p(__typeof(x), float), f(x), (void)0)))
90 #else
91 #define __fp_type_select(x, f, d, ld) \
92 ((sizeof(x) == sizeof(float)) ? f(x) \
93 : (sizeof(x) == sizeof(double)) ? d(x) \
94 : ld(x))
95 #endif
96
97 #define fpclassify(x) \
98 __fp_type_select(x, __fpclassifyf, __fpclassifyd, __fpclassifyl)
99 #define isfinite(x) __fp_type_select(x, __isfinitef, __isfinite, __isfinitel)
100 #define isinf(x) __fp_type_select(x, __isinff, __isinf, __isinfl)
101 #define isnan(x) \
102 __fp_type_select(x, __inline_isnanf, __inline_isnan, __inline_isnanl)
103 #define isnormal(x) __fp_type_select(x, __isnormalf, __isnormal, __isnormall)
104
105 #ifdef __MATH_BUILTIN_RELOPS
106 #define isgreater(x, y) __builtin_isgreater((x), (y))
107 #define isgreaterequal(x, y) __builtin_isgreaterequal((x), (y))
108 #define isless(x, y) __builtin_isless((x), (y))
109 #define islessequal(x, y) __builtin_islessequal((x), (y))
110 #define islessgreater(x, y) __builtin_islessgreater((x), (y))
111 #define isunordered(x, y) __builtin_isunordered((x), (y))
112 #else
113 #define isgreater(x, y) (!isunordered((x), (y)) && (x) > (y))
114 #define isgreaterequal(x, y) (!isunordered((x), (y)) && (x) >= (y))
115 #define isless(x, y) (!isunordered((x), (y)) && (x) < (y))
116 #define islessequal(x, y) (!isunordered((x), (y)) && (x) <= (y))
117 #define islessgreater(x, y) (!isunordered((x), (y)) && \
118 ((x) > (y) || (y) > (x)))
119 #define isunordered(x, y) (isnan(x) || isnan(y))
120 #endif /* __MATH_BUILTIN_RELOPS */
121
122 #define signbit(x) __fp_type_select(x, __signbitf, __signbit, __signbitl)
123
124 typedef __double_t double_t;
125 typedef __float_t float_t;
126 #endif /* __ISO_C_VISIBLE >= 1999 */
127
128 /*
129 * XOPEN/SVID
130 */
131 #if __BSD_VISIBLE || __XSI_VISIBLE
132 #define M_E 2.7182818284590452354 /* e */
133 #define M_LOG2E 1.4426950408889634074 /* log 2e */
134 #define M_LOG10E 0.43429448190325182765 /* log 10e */
135 #define M_LN2 0.69314718055994530942 /* log e2 */
136 #define M_LN10 2.30258509299404568402 /* log e10 */
137 #define M_PI 3.14159265358979323846 /* pi */
138 #define M_PI_2 1.57079632679489661923 /* pi/2 */
139 #define M_PI_4 0.78539816339744830962 /* pi/4 */
140 #define M_1_PI 0.31830988618379067154 /* 1/pi */
141 #define M_2_PI 0.63661977236758134308 /* 2/pi */
142 #define M_2_SQRTPI 1.12837916709551257390 /* 2/sqrt(pi) */
143 #define M_SQRT2 1.41421356237309504880 /* sqrt(2) */
144 #define M_SQRT1_2 0.70710678118654752440 /* 1/sqrt(2) */
145
146 #define MAXFLOAT ((float)3.40282346638528860e+38)
147 extern int signgam;
148 #endif /* __BSD_VISIBLE || __XSI_VISIBLE */
149
150 #if __BSD_VISIBLE
151 #if 0
152 /* Old value from 4.4BSD-Lite math.h; this is probably better. */
153 #define HUGE HUGE_VAL
154 #else
155 #define HUGE MAXFLOAT
156 #endif
157 #endif /* __BSD_VISIBLE */
158
159 /*
160 * Most of these functions depend on the rounding mode and have the side
161 * effect of raising floating-point exceptions, so they are not declared
162 * as __pure2. In C99, FENV_ACCESS affects the purity of these functions.
163 */
164 __BEGIN_DECLS
165 /*
166 * ANSI/POSIX
167 */
168 int __fpclassifyd(double) __pure2;
169 int __fpclassifyf(float) __pure2;
170 int __fpclassifyl(long double) __pure2;
171 int __isfinitef(float) __pure2;
172 int __isfinite(double) __pure2;
173 int __isfinitel(long double) __pure2;
174 int __isinff(float) __pure2;
175 int __isinf(double) __pure2;
176 int __isinfl(long double) __pure2;
177 int __isnormalf(float) __pure2;
178 int __isnormal(double) __pure2;
179 int __isnormall(long double) __pure2;
180 int __signbit(double) __pure2;
181 int __signbitf(float) __pure2;
182 int __signbitl(long double) __pure2;
183
184 static __inline int
__inline_isnan(__const double __x)185 __inline_isnan(__const double __x)
186 {
187
188 return (__x != __x);
189 }
190
191 static __inline int
__inline_isnanf(__const float __x)192 __inline_isnanf(__const float __x)
193 {
194
195 return (__x != __x);
196 }
197
198 static __inline int
__inline_isnanl(__const long double __x)199 __inline_isnanl(__const long double __x)
200 {
201
202 return (__x != __x);
203 }
204
205 /*
206 * Define the following aliases, for compatibility with glibc and CUDA.
207 */
208 #define __isnan __inline_isnan
209 #define __isnanf __inline_isnanf
210
211 /*
212 * Version 2 of the Single UNIX Specification (UNIX98) defined isnan() and
213 * isinf() as functions taking double. C99, and the subsequent POSIX revisions
214 * (SUSv3, POSIX.1-2001, define it as a macro that accepts any real floating
215 * point type. If we are targeting SUSv2 and C99 or C11 (or C++11) then we
216 * expose the newer definition, assuming that the language spec takes
217 * precedence over the operating system interface spec.
218 */
219 #if __XSI_VISIBLE > 0 && __XSI_VISIBLE < 600 && __ISO_C_VISIBLE < 1999
220 #undef isinf
221 #undef isnan
222 int isinf(double);
223 int isnan(double);
224 #endif
225
226 double acos(double);
227 double asin(double);
228 double atan(double);
229 double atan2(double, double);
230 double cos(double);
231 double sin(double);
232 double tan(double);
233
234 double cosh(double);
235 double sinh(double);
236 double tanh(double);
237
238 double exp(double);
239 double frexp(double, int *); /* fundamentally !__pure2 */
240 double ldexp(double, int);
241 double log(double);
242 double log10(double);
243 double modf(double, double *); /* fundamentally !__pure2 */
244
245 double pow(double, double);
246 double sqrt(double);
247
248 double ceil(double);
249 double fabs(double) __pure2;
250 double floor(double);
251 double fmod(double, double);
252
253 /*
254 * These functions are not in C90.
255 */
256 #if __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XSI_VISIBLE
257 double acosh(double);
258 double asinh(double);
259 double atanh(double);
260 double cbrt(double);
261 double erf(double);
262 double erfc(double);
263 double exp2(double);
264 double expm1(double);
265 double fma(double, double, double);
266 double hypot(double, double);
267 int ilogb(double) __pure2;
268 double lgamma(double);
269 long long llrint(double);
270 long long llround(double);
271 double log1p(double);
272 double log2(double);
273 double logb(double);
274 long lrint(double);
275 long lround(double);
276 double nan(const char *) __pure2;
277 double nextafter(double, double);
278 double remainder(double, double);
279 double remquo(double, double, int *);
280 double rint(double);
281 #endif /* __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XSI_VISIBLE */
282
283 #if __BSD_VISIBLE || __XSI_VISIBLE
284 double j0(double);
285 double j1(double);
286 double jn(int, double);
287 double y0(double);
288 double y1(double);
289 double yn(int, double);
290
291 #if __XSI_VISIBLE <= 500 || __BSD_VISIBLE
292 double gamma(double);
293 #endif
294
295 #if __XSI_VISIBLE <= 600 || __BSD_VISIBLE
296 double scalb(double, double);
297 #endif
298 #endif /* __BSD_VISIBLE || __XSI_VISIBLE */
299
300 #if __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999
301 double copysign(double, double) __pure2;
302 double fdim(double, double);
303 double fmax(double, double) __pure2;
304 double fmin(double, double) __pure2;
305 double nearbyint(double);
306 double round(double);
307 double scalbln(double, long);
308 double scalbn(double, int);
309 double tgamma(double);
310 double trunc(double);
311 #endif
312
313 /*
314 * BSD math library entry points
315 */
316 #if __BSD_VISIBLE
317 double drem(double, double);
318 int finite(double) __pure2;
319 int isnanf(float) __pure2;
320
321 /*
322 * Reentrant version of gamma & lgamma; passes signgam back by reference
323 * as the second argument; user must allocate space for signgam.
324 */
325 double gamma_r(double, int *);
326 double lgamma_r(double, int *);
327
328 /*
329 * IEEE Test Vector
330 */
331 double significand(double);
332 #endif /* __BSD_VISIBLE */
333
334 /* float versions of ANSI/POSIX functions */
335 #if __ISO_C_VISIBLE >= 1999
336 float acosf(float);
337 float asinf(float);
338 float atanf(float);
339 float atan2f(float, float);
340 float cosf(float);
341 float sinf(float);
342 float tanf(float);
343
344 float coshf(float);
345 float sinhf(float);
346 float tanhf(float);
347
348 float exp2f(float);
349 float expf(float);
350 float expm1f(float);
351 float frexpf(float, int *); /* fundamentally !__pure2 */
352 int ilogbf(float) __pure2;
353 float ldexpf(float, int);
354 float log10f(float);
355 float log1pf(float);
356 float log2f(float);
357 float logf(float);
358 float modff(float, float *); /* fundamentally !__pure2 */
359
360 float powf(float, float);
361 float sqrtf(float);
362
363 float ceilf(float);
364 float fabsf(float) __pure2;
365 float floorf(float);
366 float fmodf(float, float);
367 float roundf(float);
368
369 float erff(float);
370 float erfcf(float);
371 float hypotf(float, float);
372 float lgammaf(float);
373 float tgammaf(float);
374
375 float acoshf(float);
376 float asinhf(float);
377 float atanhf(float);
378 float cbrtf(float);
379 float logbf(float);
380 float copysignf(float, float) __pure2;
381 long long llrintf(float);
382 long long llroundf(float);
383 long lrintf(float);
384 long lroundf(float);
385 float nanf(const char *) __pure2;
386 float nearbyintf(float);
387 float nextafterf(float, float);
388 float remainderf(float, float);
389 float remquof(float, float, int *);
390 float rintf(float);
391 float scalblnf(float, long);
392 float scalbnf(float, int);
393 float truncf(float);
394
395 float fdimf(float, float);
396 float fmaf(float, float, float);
397 float fmaxf(float, float) __pure2;
398 float fminf(float, float) __pure2;
399 #endif
400
401 /*
402 * float versions of BSD math library entry points
403 */
404 #if __BSD_VISIBLE
405 float dremf(float, float);
406 int finitef(float) __pure2;
407 float gammaf(float);
408 float j0f(float);
409 float j1f(float);
410 float jnf(int, float);
411 float scalbf(float, float);
412 float y0f(float);
413 float y1f(float);
414 float ynf(int, float);
415
416 /*
417 * Float versions of reentrant version of gamma & lgamma; passes
418 * signgam back by reference as the second argument; user must
419 * allocate space for signgam.
420 */
421 float gammaf_r(float, int *);
422 float lgammaf_r(float, int *);
423
424 /*
425 * float version of IEEE Test Vector
426 */
427 float significandf(float);
428 #endif /* __BSD_VISIBLE */
429
430 /*
431 * long double versions of ISO/POSIX math functions
432 */
433 #if __ISO_C_VISIBLE >= 1999
434 long double acoshl(long double);
435 long double acosl(long double);
436 long double asinhl(long double);
437 long double asinl(long double);
438 long double atan2l(long double, long double);
439 long double atanhl(long double);
440 long double atanl(long double);
441 long double cbrtl(long double);
442 long double ceill(long double);
443 long double copysignl(long double, long double) __pure2;
444 long double coshl(long double);
445 long double cosl(long double);
446 long double erfcl(long double);
447 long double erfl(long double);
448 long double exp2l(long double);
449 long double expl(long double);
450 long double expm1l(long double);
451 long double fabsl(long double) __pure2;
452 long double fdiml(long double, long double);
453 long double floorl(long double);
454 long double fmal(long double, long double, long double);
455 long double fmaxl(long double, long double) __pure2;
456 long double fminl(long double, long double) __pure2;
457 long double fmodl(long double, long double);
458 long double frexpl(long double, int *); /* fundamentally !__pure2 */
459 long double hypotl(long double, long double);
460 int ilogbl(long double) __pure2;
461 long double ldexpl(long double, int);
462 long double lgammal(long double);
463 long long llrintl(long double);
464 long long llroundl(long double);
465 long double log10l(long double);
466 long double log1pl(long double);
467 long double log2l(long double);
468 long double logbl(long double);
469 long double logl(long double);
470 long lrintl(long double);
471 long lroundl(long double);
472 long double modfl(long double, long double *); /* fundamentally !__pure2 */
473 long double nanl(const char *) __pure2;
474 long double nearbyintl(long double);
475 long double nextafterl(long double, long double);
476 double nexttoward(double, long double);
477 float nexttowardf(float, long double);
478 long double nexttowardl(long double, long double);
479 long double powl(long double, long double);
480 long double remainderl(long double, long double);
481 long double remquol(long double, long double, int *);
482 long double rintl(long double);
483 long double roundl(long double);
484 long double scalblnl(long double, long);
485 long double scalbnl(long double, int);
486 long double sinhl(long double);
487 long double sinl(long double);
488 long double sqrtl(long double);
489 long double tanhl(long double);
490 long double tanl(long double);
491 long double tgammal(long double);
492 long double truncl(long double);
493 #endif /* __ISO_C_VISIBLE >= 1999 */
494
495 #if __BSD_VISIBLE
496 long double lgammal_r(long double, int *);
497 void sincos(double, double *, double *);
498 void sincosf(float, float *, float *);
499 void sincosl(long double, long double *, long double *);
500 double cospi(double);
501 float cospif(float);
502 long double cospil(long double);
503 double sinpi(double);
504 float sinpif(float);
505 long double sinpil(long double);
506 double tanpi(double);
507 float tanpif(float);
508 long double tanpil(long double);
509 #endif
510
511 __END_DECLS
512
513 #endif /* !_MATH_H_ */
514