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 */
14
15 #ifndef _MATH_H_
16 #define _MATH_H_
17
18 #include <sys/_types.h>
19 #include <machine/_limits.h>
20
21 /*
22 * ANSI/POSIX
23 */
24 extern const union __infinity_un {
25 unsigned char __uc[8];
26 double __ud;
27 } __infinity;
28
29 extern const union __nan_un {
30 unsigned char __uc[sizeof(float)];
31 float __uf;
32 } __nan;
33
34 #define __MATH_BUILTIN_CONSTANTS
35 #define __MATH_BUILTIN_RELOPS
36
37 #ifdef __MATH_BUILTIN_CONSTANTS
38 #define HUGE_VAL __builtin_huge_val()
39 #else
40 #define HUGE_VAL (__infinity.__ud)
41 #endif
42
43 #if __ISO_C_VISIBLE >= 1999
44 #define FP_ILOGB0 (-__INT_MAX)
45 #define FP_ILOGBNAN __INT_MAX
46
47 #ifdef __MATH_BUILTIN_CONSTANTS
48 #define HUGE_VALF __builtin_huge_valf()
49 #define HUGE_VALL __builtin_huge_vall()
50 #define INFINITY __builtin_inff()
51 #define NAN __builtin_nanf("")
52 #else
53 #define HUGE_VALF (float)HUGE_VAL
54 #define HUGE_VALL (long double)HUGE_VAL
55 #define INFINITY HUGE_VALF
56 #define NAN (__nan.__uf)
57 #endif /* __MATH_BUILTIN_CONSTANTS */
58
59 #define MATH_ERRNO 1
60 #define MATH_ERREXCEPT 2
61 #define math_errhandling MATH_ERREXCEPT
62
63 #define FP_FAST_FMAF 1
64
65 /* Symbolic constants to classify floating point numbers. */
66 #define FP_INFINITE 0x01
67 #define FP_NAN 0x02
68 #define FP_NORMAL 0x04
69 #define FP_SUBNORMAL 0x08
70 #define FP_ZERO 0x10
71
72 #if __STDC_VERSION__ >= 201112L || __has_extension(c_generic_selections)
73 #define __fp_type_select(x, f, d, ld) __extension__ _Generic((x), \
74 float: f, \
75 double: d, \
76 long double: ld)(x)
77 #elif !defined(__cplusplus)
78 #define __fp_type_select(x, f, d, ld) __builtin_choose_expr( \
79 __builtin_types_compatible_p(__typeof(x), long double), ld(x), \
80 __builtin_choose_expr( \
81 __builtin_types_compatible_p(__typeof(x), double), d(x), \
82 __builtin_choose_expr( \
83 __builtin_types_compatible_p(__typeof(x), float), f(x), (void)0)))
84 #else
85 #define __fp_type_select(x, f, d, ld) \
86 ((sizeof(x) == sizeof(float)) ? f(x) \
87 : (sizeof(x) == sizeof(double)) ? d(x) \
88 : ld(x))
89 #endif
90
91 #define fpclassify(x) \
92 __fp_type_select(x, __fpclassifyf, __fpclassifyd, __fpclassifyl)
93 #define isfinite(x) __fp_type_select(x, __isfinitef, __isfinite, __isfinitel)
94 #define isinf(x) __fp_type_select(x, __isinff, __isinf, __isinfl)
95 #define isnan(x) \
96 __fp_type_select(x, __inline_isnanf, __inline_isnan, __inline_isnanl)
97 #define isnormal(x) __fp_type_select(x, __isnormalf, __isnormal, __isnormall)
98
99 #ifdef __MATH_BUILTIN_RELOPS
100 #define isgreater(x, y) __builtin_isgreater((x), (y))
101 #define isgreaterequal(x, y) __builtin_isgreaterequal((x), (y))
102 #define isless(x, y) __builtin_isless((x), (y))
103 #define islessequal(x, y) __builtin_islessequal((x), (y))
104 #define islessgreater(x, y) __builtin_islessgreater((x), (y))
105 #define isunordered(x, y) __builtin_isunordered((x), (y))
106 #else
107 #define isgreater(x, y) (!isunordered((x), (y)) && (x) > (y))
108 #define isgreaterequal(x, y) (!isunordered((x), (y)) && (x) >= (y))
109 #define isless(x, y) (!isunordered((x), (y)) && (x) < (y))
110 #define islessequal(x, y) (!isunordered((x), (y)) && (x) <= (y))
111 #define islessgreater(x, y) (!isunordered((x), (y)) && \
112 ((x) > (y) || (y) > (x)))
113 #define isunordered(x, y) (isnan(x) || isnan(y))
114 #endif /* __MATH_BUILTIN_RELOPS */
115
116 #define signbit(x) __fp_type_select(x, __signbitf, __signbit, __signbitl)
117
118 typedef __double_t double_t;
119 typedef __float_t float_t;
120 #endif /* __ISO_C_VISIBLE >= 1999 */
121
122 /*
123 * XOPEN/SVID
124 */
125 #if __BSD_VISIBLE || __XSI_VISIBLE
126 #define M_E 2.7182818284590452354 /* e */
127 #define M_LOG2E 1.4426950408889634074 /* log 2e */
128 #define M_LOG10E 0.43429448190325182765 /* log 10e */
129 #define M_LN2 0.69314718055994530942 /* log e2 */
130 #define M_LN10 2.30258509299404568402 /* log e10 */
131 #define M_PI 3.14159265358979323846 /* pi */
132 #define M_PI_2 1.57079632679489661923 /* pi/2 */
133 #define M_PI_4 0.78539816339744830962 /* pi/4 */
134 #define M_1_PI 0.31830988618379067154 /* 1/pi */
135 #define M_2_PI 0.63661977236758134308 /* 2/pi */
136 #define M_2_SQRTPI 1.12837916709551257390 /* 2/sqrt(pi) */
137 #define M_SQRT2 1.41421356237309504880 /* sqrt(2) */
138 #define M_SQRT1_2 0.70710678118654752440 /* 1/sqrt(2) */
139
140 #if __BSD_VISIBLE || __XSI_VISIBLE >= 800
141 #define M_El 2.718281828459045235360287471352662498L /* e */
142 #define M_LOG2El 1.442695040888963407359924681001892137L /* log_2 e */
143 #define M_LOG10El 0.434294481903251827651128918916605082L /* log_10 e */
144 #define M_LN2l 0.693147180559945309417232121458176568L /* log_e 2 */
145 #define M_LN10l 2.302585092994045684017991454684364208L /* log_e 10 */
146 #define M_PIl 3.141592653589793238462643383279502884L /* pi */
147 #define M_PI_2l 1.570796326794896619231321691639751442L /* pi/2 */
148 #define M_PI_4l 0.785398163397448309615660845819875721L /* pi/4 */
149 #define M_1_PIl 0.318309886183790671537767526745028724L /* 1/pi */
150 #define M_2_PIl 0.636619772367581343075535053490057448L /* 2/pi */
151 #define M_2_SQRTPIl 1.128379167095512573896158903121545172L /* 2/sqrt(pi) */
152 #define M_SQRT2l 1.414213562373095048801688724209698079L /* sqrt(2) */
153 #define M_SQRT1_2l 0.707106781186547524400844362104849039L /* 1/sqrt(2) */
154 #endif /* __BSD_VISIBLE || __XSI_VISIBLE >= 800 */
155
156 #define MAXFLOAT ((float)3.40282346638528860e+38)
157 extern int signgam;
158 #endif /* __BSD_VISIBLE || __XSI_VISIBLE */
159
160 #if __BSD_VISIBLE
161 #if 0
162 /* Old value from 4.4BSD-Lite math.h; this is probably better. */
163 #define HUGE HUGE_VAL
164 #else
165 #define HUGE MAXFLOAT
166 #endif
167 #endif /* __BSD_VISIBLE */
168
169 /*
170 * Most of these functions depend on the rounding mode and have the side
171 * effect of raising floating-point exceptions, so they are not declared
172 * as __pure2. In C99, FENV_ACCESS affects the purity of these functions.
173 */
174 __BEGIN_DECLS
175 /*
176 * ANSI/POSIX
177 */
178 int __fpclassifyd(double) __pure2;
179 int __fpclassifyf(float) __pure2;
180 int __fpclassifyl(long double) __pure2;
181 int __isfinitef(float) __pure2;
182 int __isfinite(double) __pure2;
183 int __isfinitel(long double) __pure2;
184 int __isinff(float) __pure2;
185 int __isinf(double) __pure2;
186 int __isinfl(long double) __pure2;
187 int __isnormalf(float) __pure2;
188 int __isnormal(double) __pure2;
189 int __isnormall(long double) __pure2;
190 int __signbit(double) __pure2;
191 int __signbitf(float) __pure2;
192 int __signbitl(long double) __pure2;
193
194 static __inline int
__inline_isnan(const double __x)195 __inline_isnan(const double __x)
196 {
197
198 return (__x != __x);
199 }
200
201 static __inline int
__inline_isnanf(const float __x)202 __inline_isnanf(const float __x)
203 {
204
205 return (__x != __x);
206 }
207
208 static __inline int
__inline_isnanl(const long double __x)209 __inline_isnanl(const long double __x)
210 {
211
212 return (__x != __x);
213 }
214
215 /*
216 * Define the following aliases, for compatibility with glibc and CUDA.
217 */
218 #define __isnan __inline_isnan
219 #define __isnanf __inline_isnanf
220
221 /*
222 * Version 2 of the Single UNIX Specification (UNIX98) defined isnan() and
223 * isinf() as functions taking double. C99, and the subsequent POSIX revisions
224 * (SUSv3, POSIX.1-2001, define it as a macro that accepts any real floating
225 * point type. If we are targeting SUSv2 and C99 or C11 (or C++11) then we
226 * expose the newer definition, assuming that the language spec takes
227 * precedence over the operating system interface spec.
228 */
229 #if __XSI_VISIBLE > 0 && __XSI_VISIBLE < 600 && __ISO_C_VISIBLE < 1999
230 #undef isinf
231 #undef isnan
232 int isinf(double);
233 int isnan(double);
234 #endif
235
236 double acos(double);
237 double asin(double);
238 double atan(double);
239 double atan2(double, double);
240 double cos(double);
241 double sin(double);
242 double tan(double);
243
244 double cosh(double);
245 double sinh(double);
246 double tanh(double);
247
248 double exp(double);
249 double frexp(double, int *); /* fundamentally !__pure2 */
250 double ldexp(double, int);
251 double log(double);
252 double log10(double);
253 double modf(double, double *); /* fundamentally !__pure2 */
254
255 double pow(double, double);
256 double sqrt(double);
257
258 double ceil(double);
259 double fabs(double) __pure2;
260 double floor(double);
261 double fmod(double, double);
262
263 /*
264 * These functions are not in C90.
265 */
266 #if __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XSI_VISIBLE
267 double acosh(double);
268 double asinh(double);
269 double atanh(double);
270 double cbrt(double);
271 double erf(double);
272 double erfc(double);
273 double exp2(double);
274 double expm1(double);
275 double fma(double, double, double);
276 double hypot(double, double);
277 int ilogb(double) __pure2;
278 double lgamma(double);
279 long long llrint(double);
280 long long llround(double);
281 double log1p(double);
282 double log2(double);
283 double logb(double);
284 long lrint(double);
285 long lround(double);
286 double nan(const char *) __pure2;
287 double nextafter(double, double);
288 double remainder(double, double);
289 double remquo(double, double, int *);
290 double rint(double);
291 #endif /* __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XSI_VISIBLE */
292
293 #if __BSD_VISIBLE || __XSI_VISIBLE
294 double j0(double);
295 double j1(double);
296 double jn(int, double);
297 double y0(double);
298 double y1(double);
299 double yn(int, double);
300
301 #if __XSI_VISIBLE <= 500 || __BSD_VISIBLE
302 double gamma(double);
303 #endif
304
305 #if __XSI_VISIBLE <= 600 || __BSD_VISIBLE
306 double scalb(double, double);
307 #endif
308 #endif /* __BSD_VISIBLE || __XSI_VISIBLE */
309
310 #if __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999
311 double copysign(double, double) __pure2;
312 double fdim(double, double);
313 double fmax(double, double) __pure2;
314 double fmin(double, double) __pure2;
315 double nearbyint(double);
316 double round(double);
317 double scalbln(double, long);
318 double scalbn(double, int);
319 double tgamma(double);
320 double trunc(double);
321 #endif
322
323 /*
324 * BSD math library entry points
325 */
326 #if __BSD_VISIBLE
327 double drem(double, double);
328 int finite(double) __pure2;
329 int isnanf(float) __pure2;
330
331 /*
332 * Reentrant version of gamma & lgamma; passes signgam back by reference
333 * as the second argument; user must allocate space for signgam.
334 */
335 double gamma_r(double, int *);
336 double lgamma_r(double, int *);
337
338 /*
339 * IEEE Test Vector
340 */
341 double significand(double);
342 #endif /* __BSD_VISIBLE */
343
344 /* float versions of ANSI/POSIX functions */
345 #if __ISO_C_VISIBLE >= 1999
346 float acosf(float);
347 float asinf(float);
348 float atanf(float);
349 float atan2f(float, float);
350 float cosf(float);
351 float sinf(float);
352 float tanf(float);
353
354 float coshf(float);
355 float sinhf(float);
356 float tanhf(float);
357
358 float exp2f(float);
359 float expf(float);
360 float expm1f(float);
361 float frexpf(float, int *); /* fundamentally !__pure2 */
362 int ilogbf(float) __pure2;
363 float ldexpf(float, int);
364 float log10f(float);
365 float log1pf(float);
366 float log2f(float);
367 float logf(float);
368 float modff(float, float *); /* fundamentally !__pure2 */
369
370 float powf(float, float);
371 float sqrtf(float);
372
373 float ceilf(float);
374 float fabsf(float) __pure2;
375 float floorf(float);
376 float fmodf(float, float);
377 float roundf(float);
378
379 float erff(float);
380 float erfcf(float);
381 float hypotf(float, float);
382 float lgammaf(float);
383 float tgammaf(float);
384
385 float acoshf(float);
386 float asinhf(float);
387 float atanhf(float);
388 float cbrtf(float);
389 float logbf(float);
390 float copysignf(float, float) __pure2;
391 long long llrintf(float);
392 long long llroundf(float);
393 long lrintf(float);
394 long lroundf(float);
395 float nanf(const char *) __pure2;
396 float nearbyintf(float);
397 float nextafterf(float, float);
398 float remainderf(float, float);
399 float remquof(float, float, int *);
400 float rintf(float);
401 float scalblnf(float, long);
402 float scalbnf(float, int);
403 float truncf(float);
404
405 float fdimf(float, float);
406 float fmaf(float, float, float);
407 float fmaxf(float, float) __pure2;
408 float fminf(float, float) __pure2;
409 #endif
410
411 /*
412 * float versions of BSD math library entry points
413 */
414 #if __BSD_VISIBLE
415 float dremf(float, float);
416 int finitef(float) __pure2;
417 float gammaf(float);
418 float j0f(float);
419 float j1f(float);
420 float jnf(int, float);
421 float scalbf(float, float);
422 float y0f(float);
423 float y1f(float);
424 float ynf(int, float);
425
426 /*
427 * Float versions of reentrant version of gamma & lgamma; passes
428 * signgam back by reference as the second argument; user must
429 * allocate space for signgam.
430 */
431 float gammaf_r(float, int *);
432 float lgammaf_r(float, int *);
433
434 /*
435 * float version of IEEE Test Vector
436 */
437 float significandf(float);
438 #endif /* __BSD_VISIBLE */
439
440 /*
441 * long double versions of ISO/POSIX math functions
442 */
443 #if __ISO_C_VISIBLE >= 1999
444 long double acoshl(long double);
445 long double acosl(long double);
446 long double asinhl(long double);
447 long double asinl(long double);
448 long double atan2l(long double, long double);
449 long double atanhl(long double);
450 long double atanl(long double);
451 long double cbrtl(long double);
452 long double ceill(long double);
453 long double copysignl(long double, long double) __pure2;
454 long double coshl(long double);
455 long double cosl(long double);
456 long double erfcl(long double);
457 long double erfl(long double);
458 long double exp2l(long double);
459 long double expl(long double);
460 long double expm1l(long double);
461 long double fabsl(long double) __pure2;
462 long double fdiml(long double, long double);
463 long double floorl(long double);
464 long double fmal(long double, long double, long double);
465 long double fmaxl(long double, long double) __pure2;
466 long double fminl(long double, long double) __pure2;
467 long double fmodl(long double, long double);
468 long double frexpl(long double, int *); /* fundamentally !__pure2 */
469 long double hypotl(long double, long double);
470 int ilogbl(long double) __pure2;
471 long double ldexpl(long double, int);
472 long double lgammal(long double);
473 long long llrintl(long double);
474 long long llroundl(long double);
475 long double log10l(long double);
476 long double log1pl(long double);
477 long double log2l(long double);
478 long double logbl(long double);
479 long double logl(long double);
480 long lrintl(long double);
481 long lroundl(long double);
482 long double modfl(long double, long double *); /* fundamentally !__pure2 */
483 long double nanl(const char *) __pure2;
484 long double nearbyintl(long double);
485 long double nextafterl(long double, long double);
486 double nexttoward(double, long double);
487 float nexttowardf(float, long double);
488 long double nexttowardl(long double, long double);
489 long double powl(long double, long double);
490 long double remainderl(long double, long double);
491 long double remquol(long double, long double, int *);
492 long double rintl(long double);
493 long double roundl(long double);
494 long double scalblnl(long double, long);
495 long double scalbnl(long double, int);
496 long double sinhl(long double);
497 long double sinl(long double);
498 long double sqrtl(long double);
499 long double tanhl(long double);
500 long double tanl(long double);
501 long double tgammal(long double);
502 long double truncl(long double);
503 #endif /* __ISO_C_VISIBLE >= 1999 */
504
505 #if __BSD_VISIBLE
506 long double lgammal_r(long double, int *);
507 void sincos(double, double *, double *);
508 void sincosf(float, float *, float *);
509 void sincosl(long double, long double *, long double *);
510 double cospi(double);
511 float cospif(float);
512 long double cospil(long double);
513 double sinpi(double);
514 float sinpif(float);
515 long double sinpil(long double);
516 double tanpi(double);
517 float tanpif(float);
518 long double tanpil(long double);
519 #endif
520
521 __END_DECLS
522
523 #endif /* !_MATH_H_ */
524