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/cdefs.h>
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 #define __MATH_BUILTIN_CONSTANTS
36 #define __MATH_BUILTIN_RELOPS
37
38 #ifdef __MATH_BUILTIN_CONSTANTS
39 #define HUGE_VAL __builtin_huge_val()
40 #else
41 #define HUGE_VAL (__infinity.__ud)
42 #endif
43
44 #if __ISO_C_VISIBLE >= 1999
45 #define FP_ILOGB0 (-__INT_MAX)
46 #define FP_ILOGBNAN __INT_MAX
47
48 #ifdef __MATH_BUILTIN_CONSTANTS
49 #define HUGE_VALF __builtin_huge_valf()
50 #define HUGE_VALL __builtin_huge_vall()
51 #define INFINITY __builtin_inff()
52 #define NAN __builtin_nanf("")
53 #else
54 #define HUGE_VALF (float)HUGE_VAL
55 #define HUGE_VALL (long double)HUGE_VAL
56 #define INFINITY HUGE_VALF
57 #define NAN (__nan.__uf)
58 #endif /* __MATH_BUILTIN_CONSTANTS */
59
60 #define MATH_ERRNO 1
61 #define MATH_ERREXCEPT 2
62 #define math_errhandling MATH_ERREXCEPT
63
64 #define FP_FAST_FMAF 1
65
66 /* Symbolic constants to classify floating point numbers. */
67 #define FP_INFINITE 0x01
68 #define FP_NAN 0x02
69 #define FP_NORMAL 0x04
70 #define FP_SUBNORMAL 0x08
71 #define FP_ZERO 0x10
72
73 #if __STDC_VERSION__ >= 201112L || __has_extension(c_generic_selections)
74 #define __fp_type_select(x, f, d, ld) __extension__ _Generic((x), \
75 float: f, \
76 double: d, \
77 long double: ld)(x)
78 #elif !defined(__cplusplus)
79 #define __fp_type_select(x, f, d, ld) __builtin_choose_expr( \
80 __builtin_types_compatible_p(__typeof(x), long double), ld(x), \
81 __builtin_choose_expr( \
82 __builtin_types_compatible_p(__typeof(x), double), d(x), \
83 __builtin_choose_expr( \
84 __builtin_types_compatible_p(__typeof(x), float), f(x), (void)0)))
85 #else
86 #define __fp_type_select(x, f, d, ld) \
87 ((sizeof(x) == sizeof(float)) ? f(x) \
88 : (sizeof(x) == sizeof(double)) ? d(x) \
89 : ld(x))
90 #endif
91
92 #define fpclassify(x) \
93 __fp_type_select(x, __fpclassifyf, __fpclassifyd, __fpclassifyl)
94 #define isfinite(x) __fp_type_select(x, __isfinitef, __isfinite, __isfinitel)
95 #define isinf(x) __fp_type_select(x, __isinff, __isinf, __isinfl)
96 #define isnan(x) \
97 __fp_type_select(x, __inline_isnanf, __inline_isnan, __inline_isnanl)
98 #define isnormal(x) __fp_type_select(x, __isnormalf, __isnormal, __isnormall)
99
100 #ifdef __MATH_BUILTIN_RELOPS
101 #define isgreater(x, y) __builtin_isgreater((x), (y))
102 #define isgreaterequal(x, y) __builtin_isgreaterequal((x), (y))
103 #define isless(x, y) __builtin_isless((x), (y))
104 #define islessequal(x, y) __builtin_islessequal((x), (y))
105 #define islessgreater(x, y) __builtin_islessgreater((x), (y))
106 #define isunordered(x, y) __builtin_isunordered((x), (y))
107 #else
108 #define isgreater(x, y) (!isunordered((x), (y)) && (x) > (y))
109 #define isgreaterequal(x, y) (!isunordered((x), (y)) && (x) >= (y))
110 #define isless(x, y) (!isunordered((x), (y)) && (x) < (y))
111 #define islessequal(x, y) (!isunordered((x), (y)) && (x) <= (y))
112 #define islessgreater(x, y) (!isunordered((x), (y)) && \
113 ((x) > (y) || (y) > (x)))
114 #define isunordered(x, y) (isnan(x) || isnan(y))
115 #endif /* __MATH_BUILTIN_RELOPS */
116
117 #define signbit(x) __fp_type_select(x, __signbitf, __signbit, __signbitl)
118
119 typedef __double_t double_t;
120 typedef __float_t float_t;
121 #endif /* __ISO_C_VISIBLE >= 1999 */
122
123 /*
124 * XOPEN/SVID
125 */
126 #if __BSD_VISIBLE || __XSI_VISIBLE
127 #define M_E 2.7182818284590452354 /* e */
128 #define M_LOG2E 1.4426950408889634074 /* log 2e */
129 #define M_LOG10E 0.43429448190325182765 /* log 10e */
130 #define M_LN2 0.69314718055994530942 /* log e2 */
131 #define M_LN10 2.30258509299404568402 /* log e10 */
132 #define M_PI 3.14159265358979323846 /* pi */
133 #define M_PI_2 1.57079632679489661923 /* pi/2 */
134 #define M_PI_4 0.78539816339744830962 /* pi/4 */
135 #define M_1_PI 0.31830988618379067154 /* 1/pi */
136 #define M_2_PI 0.63661977236758134308 /* 2/pi */
137 #define M_2_SQRTPI 1.12837916709551257390 /* 2/sqrt(pi) */
138 #define M_SQRT2 1.41421356237309504880 /* sqrt(2) */
139 #define M_SQRT1_2 0.70710678118654752440 /* 1/sqrt(2) */
140
141 #if __BSD_VISIBLE || __XSI_VISIBLE >= 800
142 #define M_El 2.718281828459045235360287471352662498L /* e */
143 #define M_LOG2El 1.442695040888963407359924681001892137L /* log_2 e */
144 #define M_LOG10El 0.434294481903251827651128918916605082L /* log_10 e */
145 #define M_LN2l 0.693147180559945309417232121458176568L /* log_e 2 */
146 #define M_LN10l 2.302585092994045684017991454684364208L /* log_e 10 */
147 #define M_PIl 3.141592653589793238462643383279502884L /* pi */
148 #define M_PI_2l 1.570796326794896619231321691639751442L /* pi/2 */
149 #define M_PI_4l 0.785398163397448309615660845819875721L /* pi/4 */
150 #define M_1_PIl 0.318309886183790671537767526745028724L /* 1/pi */
151 #define M_2_PIl 0.636619772367581343075535053490057448L /* 2/pi */
152 #define M_2_SQRTPIl 1.128379167095512573896158903121545172L /* 2/sqrt(pi) */
153 #define M_SQRT2l 1.414213562373095048801688724209698079L /* sqrt(2) */
154 #define M_SQRT1_2l 0.707106781186547524400844362104849039L /* 1/sqrt(2) */
155 #endif /* __BSD_VISIBLE || __XSI_VISIBLE >= 800 */
156
157 #define MAXFLOAT ((float)3.40282346638528860e+38)
158 extern int signgam;
159 #endif /* __BSD_VISIBLE || __XSI_VISIBLE */
160
161 #if __BSD_VISIBLE
162 #if 0
163 /* Old value from 4.4BSD-Lite math.h; this is probably better. */
164 #define HUGE HUGE_VAL
165 #else
166 #define HUGE MAXFLOAT
167 #endif
168 #endif /* __BSD_VISIBLE */
169
170 /*
171 * Most of these functions depend on the rounding mode and have the side
172 * effect of raising floating-point exceptions, so they are not declared
173 * as __pure2. In C99, FENV_ACCESS affects the purity of these functions.
174 */
175 __BEGIN_DECLS
176 /*
177 * ANSI/POSIX
178 */
179 int __fpclassifyd(double) __pure2;
180 int __fpclassifyf(float) __pure2;
181 int __fpclassifyl(long double) __pure2;
182 int __isfinitef(float) __pure2;
183 int __isfinite(double) __pure2;
184 int __isfinitel(long double) __pure2;
185 int __isinff(float) __pure2;
186 int __isinf(double) __pure2;
187 int __isinfl(long double) __pure2;
188 int __isnormalf(float) __pure2;
189 int __isnormal(double) __pure2;
190 int __isnormall(long double) __pure2;
191 int __signbit(double) __pure2;
192 int __signbitf(float) __pure2;
193 int __signbitl(long double) __pure2;
194
195 static __inline int
__inline_isnan(const double __x)196 __inline_isnan(const double __x)
197 {
198
199 return (__x != __x);
200 }
201
202 static __inline int
__inline_isnanf(const float __x)203 __inline_isnanf(const float __x)
204 {
205
206 return (__x != __x);
207 }
208
209 static __inline int
__inline_isnanl(const long double __x)210 __inline_isnanl(const long double __x)
211 {
212
213 return (__x != __x);
214 }
215
216 /*
217 * Define the following aliases, for compatibility with glibc and CUDA.
218 */
219 #define __isnan __inline_isnan
220 #define __isnanf __inline_isnanf
221
222 /*
223 * Version 2 of the Single UNIX Specification (UNIX98) defined isnan() and
224 * isinf() as functions taking double. C99, and the subsequent POSIX revisions
225 * (SUSv3, POSIX.1-2001, define it as a macro that accepts any real floating
226 * point type. If we are targeting SUSv2 and C99 or C11 (or C++11) then we
227 * expose the newer definition, assuming that the language spec takes
228 * precedence over the operating system interface spec.
229 */
230 #if __XSI_VISIBLE > 0 && __XSI_VISIBLE < 600 && __ISO_C_VISIBLE < 1999
231 #undef isinf
232 #undef isnan
233 int isinf(double);
234 int isnan(double);
235 #endif
236
237 double acos(double);
238 double asin(double);
239 double atan(double);
240 double atan2(double, double);
241 double cos(double);
242 double sin(double);
243 double tan(double);
244
245 double cosh(double);
246 double sinh(double);
247 double tanh(double);
248
249 double exp(double);
250 double frexp(double, int *); /* fundamentally !__pure2 */
251 double ldexp(double, int);
252 double log(double);
253 double log10(double);
254 double modf(double, double *); /* fundamentally !__pure2 */
255
256 double pow(double, double);
257 double sqrt(double);
258
259 double ceil(double);
260 double fabs(double) __pure2;
261 double floor(double);
262 double fmod(double, double);
263
264 /*
265 * These functions are not in C90.
266 */
267 #if __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XSI_VISIBLE
268 double acosh(double);
269 double asinh(double);
270 double atanh(double);
271 double cbrt(double);
272 double erf(double);
273 double erfc(double);
274 double exp2(double);
275 double expm1(double);
276 double fma(double, double, double);
277 double hypot(double, double);
278 int ilogb(double) __pure2;
279 double lgamma(double);
280 long long llrint(double);
281 long long llround(double);
282 double log1p(double);
283 double log2(double);
284 double logb(double);
285 long lrint(double);
286 long lround(double);
287 double nan(const char *) __pure2;
288 double nextafter(double, double);
289 double remainder(double, double);
290 double remquo(double, double, int *);
291 double rint(double);
292 #endif /* __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XSI_VISIBLE */
293
294 #if __BSD_VISIBLE || __XSI_VISIBLE
295 double j0(double);
296 double j1(double);
297 double jn(int, double);
298 double y0(double);
299 double y1(double);
300 double yn(int, double);
301
302 #if __XSI_VISIBLE <= 500 || __BSD_VISIBLE
303 double gamma(double);
304 #endif
305
306 #if __XSI_VISIBLE <= 600 || __BSD_VISIBLE
307 double scalb(double, double);
308 #endif
309 #endif /* __BSD_VISIBLE || __XSI_VISIBLE */
310
311 #if __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999
312 double copysign(double, double) __pure2;
313 double fdim(double, double);
314 double fmax(double, double) __pure2;
315 double fmin(double, double) __pure2;
316 double nearbyint(double);
317 double round(double);
318 double scalbln(double, long);
319 double scalbn(double, int);
320 double tgamma(double);
321 double trunc(double);
322 #endif
323
324 /*
325 * BSD math library entry points
326 */
327 #if __BSD_VISIBLE
328 double drem(double, double);
329 int finite(double) __pure2;
330 int isnanf(float) __pure2;
331
332 /*
333 * Reentrant version of gamma & lgamma; passes signgam back by reference
334 * as the second argument; user must allocate space for signgam.
335 */
336 double gamma_r(double, int *);
337 double lgamma_r(double, int *);
338
339 /*
340 * IEEE Test Vector
341 */
342 double significand(double);
343 #endif /* __BSD_VISIBLE */
344
345 /* float versions of ANSI/POSIX functions */
346 #if __ISO_C_VISIBLE >= 1999
347 float acosf(float);
348 float asinf(float);
349 float atanf(float);
350 float atan2f(float, float);
351 float cosf(float);
352 float sinf(float);
353 float tanf(float);
354
355 float coshf(float);
356 float sinhf(float);
357 float tanhf(float);
358
359 float exp2f(float);
360 float expf(float);
361 float expm1f(float);
362 float frexpf(float, int *); /* fundamentally !__pure2 */
363 int ilogbf(float) __pure2;
364 float ldexpf(float, int);
365 float log10f(float);
366 float log1pf(float);
367 float log2f(float);
368 float logf(float);
369 float modff(float, float *); /* fundamentally !__pure2 */
370
371 float powf(float, float);
372 float sqrtf(float);
373
374 float ceilf(float);
375 float fabsf(float) __pure2;
376 float floorf(float);
377 float fmodf(float, float);
378 float roundf(float);
379
380 float erff(float);
381 float erfcf(float);
382 float hypotf(float, float);
383 float lgammaf(float);
384 float tgammaf(float);
385
386 float acoshf(float);
387 float asinhf(float);
388 float atanhf(float);
389 float cbrtf(float);
390 float logbf(float);
391 float copysignf(float, float) __pure2;
392 long long llrintf(float);
393 long long llroundf(float);
394 long lrintf(float);
395 long lroundf(float);
396 float nanf(const char *) __pure2;
397 float nearbyintf(float);
398 float nextafterf(float, float);
399 float remainderf(float, float);
400 float remquof(float, float, int *);
401 float rintf(float);
402 float scalblnf(float, long);
403 float scalbnf(float, int);
404 float truncf(float);
405
406 float fdimf(float, float);
407 float fmaf(float, float, float);
408 float fmaxf(float, float) __pure2;
409 float fminf(float, float) __pure2;
410 #endif
411
412 /*
413 * float versions of BSD math library entry points
414 */
415 #if __BSD_VISIBLE
416 float dremf(float, float);
417 int finitef(float) __pure2;
418 float gammaf(float);
419 float j0f(float);
420 float j1f(float);
421 float jnf(int, float);
422 float scalbf(float, float);
423 float y0f(float);
424 float y1f(float);
425 float ynf(int, float);
426
427 /*
428 * Float versions of reentrant version of gamma & lgamma; passes
429 * signgam back by reference as the second argument; user must
430 * allocate space for signgam.
431 */
432 float gammaf_r(float, int *);
433 float lgammaf_r(float, int *);
434
435 /*
436 * float version of IEEE Test Vector
437 */
438 float significandf(float);
439 #endif /* __BSD_VISIBLE */
440
441 /*
442 * long double versions of ISO/POSIX math functions
443 */
444 #if __ISO_C_VISIBLE >= 1999
445 long double acoshl(long double);
446 long double acosl(long double);
447 long double asinhl(long double);
448 long double asinl(long double);
449 long double atan2l(long double, long double);
450 long double atanhl(long double);
451 long double atanl(long double);
452 long double cbrtl(long double);
453 long double ceill(long double);
454 long double copysignl(long double, long double) __pure2;
455 long double coshl(long double);
456 long double cosl(long double);
457 long double erfcl(long double);
458 long double erfl(long double);
459 long double exp2l(long double);
460 long double expl(long double);
461 long double expm1l(long double);
462 long double fabsl(long double) __pure2;
463 long double fdiml(long double, long double);
464 long double floorl(long double);
465 long double fmal(long double, long double, long double);
466 long double fmaxl(long double, long double) __pure2;
467 long double fminl(long double, long double) __pure2;
468 long double fmodl(long double, long double);
469 long double frexpl(long double, int *); /* fundamentally !__pure2 */
470 long double hypotl(long double, long double);
471 int ilogbl(long double) __pure2;
472 long double ldexpl(long double, int);
473 long double lgammal(long double);
474 long long llrintl(long double);
475 long long llroundl(long double);
476 long double log10l(long double);
477 long double log1pl(long double);
478 long double log2l(long double);
479 long double logbl(long double);
480 long double logl(long double);
481 long lrintl(long double);
482 long lroundl(long double);
483 long double modfl(long double, long double *); /* fundamentally !__pure2 */
484 long double nanl(const char *) __pure2;
485 long double nearbyintl(long double);
486 long double nextafterl(long double, long double);
487 double nexttoward(double, long double);
488 float nexttowardf(float, long double);
489 long double nexttowardl(long double, long double);
490 long double powl(long double, long double);
491 long double remainderl(long double, long double);
492 long double remquol(long double, long double, int *);
493 long double rintl(long double);
494 long double roundl(long double);
495 long double scalblnl(long double, long);
496 long double scalbnl(long double, int);
497 long double sinhl(long double);
498 long double sinl(long double);
499 long double sqrtl(long double);
500 long double tanhl(long double);
501 long double tanl(long double);
502 long double tgammal(long double);
503 long double truncl(long double);
504 #endif /* __ISO_C_VISIBLE >= 1999 */
505
506 #if __BSD_VISIBLE
507 long double lgammal_r(long double, int *);
508 void sincos(double, double *, double *);
509 void sincosf(float, float *, float *);
510 void sincosl(long double, long double *, long double *);
511 double cospi(double);
512 float cospif(float);
513 long double cospil(long double);
514 double sinpi(double);
515 float sinpif(float);
516 long double sinpil(long double);
517 double tanpi(double);
518 float tanpif(float);
519 long double tanpil(long double);
520 #endif
521
522 __END_DECLS
523
524 #endif /* !_MATH_H_ */
525