2 * ====================================================
3 * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
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
9 * ====================================================
13 * from: @(#)fdlibm.h 5.1 93/09/24
20 #include <sys/cdefs.h>
21 #include <sys/_types.h>
22 #include <machine/_limits.h>
27 extern const union __infinity_un {
28 unsigned char __uc[8];
32 extern const union __nan_un {
33 unsigned char __uc[sizeof(float)];
37 #if __GNUC_PREREQ__(3, 3) || (defined(__INTEL_COMPILER) && __INTEL_COMPILER >= 800)
38 #define __MATH_BUILTIN_CONSTANTS
41 #if __GNUC_PREREQ__(3, 0) && !defined(__INTEL_COMPILER)
42 #define __MATH_BUILTIN_RELOPS
45 #ifdef __MATH_BUILTIN_CONSTANTS
46 #define HUGE_VAL __builtin_huge_val()
48 #define HUGE_VAL (__infinity.__ud)
51 #if __ISO_C_VISIBLE >= 1999
52 #define FP_ILOGB0 (-__INT_MAX)
53 #define FP_ILOGBNAN __INT_MAX
55 #ifdef __MATH_BUILTIN_CONSTANTS
56 #define HUGE_VALF __builtin_huge_valf()
57 #define HUGE_VALL __builtin_huge_vall()
58 #define INFINITY __builtin_inff()
59 #define NAN __builtin_nanf("")
61 #define HUGE_VALF (float)HUGE_VAL
62 #define HUGE_VALL (long double)HUGE_VAL
63 #define INFINITY HUGE_VALF
64 #define NAN (__nan.__uf)
65 #endif /* __MATH_BUILTIN_CONSTANTS */
68 #define MATH_ERREXCEPT 2
69 #define math_errhandling MATH_ERREXCEPT
71 #define FP_FAST_FMAF 1
74 #define FP_FAST_FMAL 1
77 /* Symbolic constants to classify floating point numbers. */
78 #define FP_INFINITE 0x01
80 #define FP_NORMAL 0x04
81 #define FP_SUBNORMAL 0x08
84 #if (__STDC_VERSION__ >= 201112L && defined(__clang__)) || \
85 __has_extension(c_generic_selections)
86 #define __fp_type_select(x, f, d, ld) _Generic((x), \
90 volatile float: f(x), \
91 volatile double: d(x), \
92 volatile long double: ld(x), \
93 volatile const float: f(x), \
94 volatile const double: d(x), \
95 volatile const long double: ld(x), \
98 const long double: ld(x))
99 #elif __GNUC_PREREQ__(3, 1) && !defined(__cplusplus)
100 #define __fp_type_select(x, f, d, ld) __builtin_choose_expr( \
101 __builtin_types_compatible_p(__typeof(x), long double), ld(x), \
102 __builtin_choose_expr( \
103 __builtin_types_compatible_p(__typeof(x), double), d(x), \
104 __builtin_choose_expr( \
105 __builtin_types_compatible_p(__typeof(x), float), f(x), (void)0)))
107 #define __fp_type_select(x, f, d, ld) \
108 ((sizeof(x) == sizeof(float)) ? f(x) \
109 : (sizeof(x) == sizeof(double)) ? d(x) \
113 #define fpclassify(x) \
114 __fp_type_select(x, __fpclassifyf, __fpclassifyd, __fpclassifyl)
115 #define isfinite(x) __fp_type_select(x, __isfinitef, __isfinite, __isfinitel)
116 #define isinf(x) __fp_type_select(x, __isinff, __isinf, __isinfl)
118 __fp_type_select(x, __inline_isnanf, __inline_isnan, __inline_isnanl)
119 #define isnormal(x) __fp_type_select(x, __isnormalf, __isnormal, __isnormall)
121 #ifdef __MATH_BUILTIN_RELOPS
122 #define isgreater(x, y) __builtin_isgreater((x), (y))
123 #define isgreaterequal(x, y) __builtin_isgreaterequal((x), (y))
124 #define isless(x, y) __builtin_isless((x), (y))
125 #define islessequal(x, y) __builtin_islessequal((x), (y))
126 #define islessgreater(x, y) __builtin_islessgreater((x), (y))
127 #define isunordered(x, y) __builtin_isunordered((x), (y))
129 #define isgreater(x, y) (!isunordered((x), (y)) && (x) > (y))
130 #define isgreaterequal(x, y) (!isunordered((x), (y)) && (x) >= (y))
131 #define isless(x, y) (!isunordered((x), (y)) && (x) < (y))
132 #define islessequal(x, y) (!isunordered((x), (y)) && (x) <= (y))
133 #define islessgreater(x, y) (!isunordered((x), (y)) && \
134 ((x) > (y) || (y) > (x)))
135 #define isunordered(x, y) (isnan(x) || isnan(y))
136 #endif /* __MATH_BUILTIN_RELOPS */
138 #define signbit(x) __fp_type_select(x, __signbitf, __signbit, __signbitl)
140 typedef __double_t double_t;
141 typedef __float_t float_t;
142 #endif /* __ISO_C_VISIBLE >= 1999 */
147 #if __BSD_VISIBLE || __XSI_VISIBLE
148 #define M_E 2.7182818284590452354 /* e */
149 #define M_LOG2E 1.4426950408889634074 /* log 2e */
150 #define M_LOG10E 0.43429448190325182765 /* log 10e */
151 #define M_LN2 0.69314718055994530942 /* log e2 */
152 #define M_LN10 2.30258509299404568402 /* log e10 */
153 #define M_PI 3.14159265358979323846 /* pi */
154 #define M_PI_2 1.57079632679489661923 /* pi/2 */
155 #define M_PI_4 0.78539816339744830962 /* pi/4 */
156 #define M_1_PI 0.31830988618379067154 /* 1/pi */
157 #define M_2_PI 0.63661977236758134308 /* 2/pi */
158 #define M_2_SQRTPI 1.12837916709551257390 /* 2/sqrt(pi) */
159 #define M_SQRT2 1.41421356237309504880 /* sqrt(2) */
160 #define M_SQRT1_2 0.70710678118654752440 /* 1/sqrt(2) */
162 #define MAXFLOAT ((float)3.40282346638528860e+38)
164 #endif /* __BSD_VISIBLE || __XSI_VISIBLE */
168 /* Old value from 4.4BSD-Lite math.h; this is probably better. */
169 #define HUGE HUGE_VAL
171 #define HUGE MAXFLOAT
173 #endif /* __BSD_VISIBLE */
176 * Most of these functions depend on the rounding mode and have the side
177 * effect of raising floating-point exceptions, so they are not declared
178 * as __pure2. In C99, FENV_ACCESS affects the purity of these functions.
184 int __fpclassifyd(double) __pure2;
185 int __fpclassifyf(float) __pure2;
186 int __fpclassifyl(long double) __pure2;
187 int __isfinitef(float) __pure2;
188 int __isfinite(double) __pure2;
189 int __isfinitel(long double) __pure2;
190 int __isinff(float) __pure2;
191 int __isinf(double) __pure2;
192 int __isinfl(long double) __pure2;
193 int __isnormalf(float) __pure2;
194 int __isnormal(double) __pure2;
195 int __isnormall(long double) __pure2;
196 int __signbit(double) __pure2;
197 int __signbitf(float) __pure2;
198 int __signbitl(long double) __pure2;
201 __inline_isnan(__const double __x)
208 __inline_isnanf(__const float __x)
215 __inline_isnanl(__const long double __x)
222 * Define the following aliases, for compatibility with glibc and CUDA.
224 #define __isnan __inline_isnan
225 #define __isnanf __inline_isnanf
228 * Version 2 of the Single UNIX Specification (UNIX98) defined isnan() and
229 * isinf() as functions taking double. C99, and the subsequent POSIX revisions
230 * (SUSv3, POSIX.1-2001, define it as a macro that accepts any real floating
231 * point type. If we are targeting SUSv2 and C99 or C11 (or C++11) then we
232 * expose the newer definition, assuming that the language spec takes
233 * precedence over the operating system interface spec.
235 #if __XSI_VISIBLE > 0 && __XSI_VISIBLE < 600 && __ISO_C_VISIBLE < 1999
245 double atan2(double, double);
255 double frexp(double, int *); /* fundamentally !__pure2 */
256 double ldexp(double, int);
258 double log10(double);
259 double modf(double, double *); /* fundamentally !__pure2 */
261 double pow(double, double);
265 double fabs(double) __pure2;
266 double floor(double);
267 double fmod(double, double);
270 * These functions are not in C90.
272 #if __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XSI_VISIBLE
273 double acosh(double);
274 double asinh(double);
275 double atanh(double);
280 double expm1(double);
281 double fma(double, double, double);
282 double hypot(double, double);
283 int ilogb(double) __pure2;
284 double lgamma(double);
285 long long llrint(double);
286 long long llround(double);
287 double log1p(double);
292 double nan(const char *) __pure2;
293 double nextafter(double, double);
294 double remainder(double, double);
295 double remquo(double, double, int *);
297 #endif /* __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XSI_VISIBLE */
299 #if __BSD_VISIBLE || __XSI_VISIBLE
302 double jn(int, double);
305 double yn(int, double);
307 #if __XSI_VISIBLE <= 500 || __BSD_VISIBLE
308 double gamma(double);
311 #if __XSI_VISIBLE <= 600 || __BSD_VISIBLE
312 double scalb(double, double);
314 #endif /* __BSD_VISIBLE || __XSI_VISIBLE */
316 #if __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999
317 double copysign(double, double) __pure2;
318 double fdim(double, double);
319 double fmax(double, double) __pure2;
320 double fmin(double, double) __pure2;
321 double nearbyint(double);
322 double round(double);
323 double scalbln(double, long);
324 double scalbn(double, int);
325 double tgamma(double);
326 double trunc(double);
330 * BSD math library entry points
333 double drem(double, double);
334 int finite(double) __pure2;
335 int isnanf(float) __pure2;
338 * Reentrant version of gamma & lgamma; passes signgam back by reference
339 * as the second argument; user must allocate space for signgam.
341 double gamma_r(double, int *);
342 double lgamma_r(double, int *);
347 double significand(double);
348 #endif /* __BSD_VISIBLE */
350 /* float versions of ANSI/POSIX functions */
351 #if __ISO_C_VISIBLE >= 1999
355 float atan2f(float, float);
367 float frexpf(float, int *); /* fundamentally !__pure2 */
368 int ilogbf(float) __pure2;
369 float ldexpf(float, int);
374 float modff(float, float *); /* fundamentally !__pure2 */
376 float powf(float, float);
380 float fabsf(float) __pure2;
382 float fmodf(float, float);
387 float hypotf(float, float);
388 float lgammaf(float);
389 float tgammaf(float);
396 float copysignf(float, float) __pure2;
397 long long llrintf(float);
398 long long llroundf(float);
401 float nanf(const char *) __pure2;
402 float nearbyintf(float);
403 float nextafterf(float, float);
404 float remainderf(float, float);
405 float remquof(float, float, int *);
407 float scalblnf(float, long);
408 float scalbnf(float, int);
411 float fdimf(float, float);
412 float fmaf(float, float, float);
413 float fmaxf(float, float) __pure2;
414 float fminf(float, float) __pure2;
418 * float versions of BSD math library entry points
421 float dremf(float, float);
422 int finitef(float) __pure2;
426 float jnf(int, float);
427 float scalbf(float, float);
430 float ynf(int, float);
433 * Float versions of reentrant version of gamma & lgamma; passes
434 * signgam back by reference as the second argument; user must
435 * allocate space for signgam.
437 float gammaf_r(float, int *);
438 float lgammaf_r(float, int *);
441 * float version of IEEE Test Vector
443 float significandf(float);
444 #endif /* __BSD_VISIBLE */
447 * long double versions of ISO/POSIX math functions
449 #if __ISO_C_VISIBLE >= 1999
450 long double acoshl(long double);
451 long double acosl(long double);
452 long double asinhl(long double);
453 long double asinl(long double);
454 long double atan2l(long double, long double);
455 long double atanhl(long double);
456 long double atanl(long double);
457 long double cbrtl(long double);
458 long double ceill(long double);
459 long double copysignl(long double, long double) __pure2;
460 long double coshl(long double);
461 long double cosl(long double);
462 long double erfcl(long double);
463 long double erfl(long double);
464 long double exp2l(long double);
465 long double expl(long double);
466 long double expm1l(long double);
467 long double fabsl(long double) __pure2;
468 long double fdiml(long double, long double);
469 long double floorl(long double);
470 long double fmal(long double, long double, long double);
471 long double fmaxl(long double, long double) __pure2;
472 long double fminl(long double, long double) __pure2;
473 long double fmodl(long double, long double);
474 long double frexpl(long double, int *); /* fundamentally !__pure2 */
475 long double hypotl(long double, long double);
476 int ilogbl(long double) __pure2;
477 long double ldexpl(long double, int);
478 long double lgammal(long double);
479 long long llrintl(long double);
480 long long llroundl(long double);
481 long double log10l(long double);
482 long double log1pl(long double);
483 long double log2l(long double);
484 long double logbl(long double);
485 long double logl(long double);
486 long lrintl(long double);
487 long lroundl(long double);
488 long double modfl(long double, long double *); /* fundamentally !__pure2 */
489 long double nanl(const char *) __pure2;
490 long double nearbyintl(long double);
491 long double nextafterl(long double, long double);
492 double nexttoward(double, long double);
493 float nexttowardf(float, long double);
494 long double nexttowardl(long double, long double);
495 long double powl(long double, long double);
496 long double remainderl(long double, long double);
497 long double remquol(long double, long double, int *);
498 long double rintl(long double);
499 long double roundl(long double);
500 long double scalblnl(long double, long);
501 long double scalbnl(long double, int);
502 long double sinhl(long double);
503 long double sinl(long double);
504 long double sqrtl(long double);
505 long double tanhl(long double);
506 long double tanl(long double);
507 long double tgammal(long double);
508 long double truncl(long double);
509 #endif /* __ISO_C_VISIBLE >= 1999 */
512 long double lgammal_r(long double, int *);
517 #endif /* !_MATH_H_ */