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 /* XXX We need a <machine/math.h>. */
72 #if defined(__ia64__) || defined(__sparc64__)
76 #define FP_FAST_FMAL 1
78 #define FP_FAST_FMAF 1
80 /* Symbolic constants to classify floating point numbers. */
81 #define FP_INFINITE 0x01
83 #define FP_NORMAL 0x04
84 #define FP_SUBNORMAL 0x08
86 #define fpclassify(x) \
87 ((sizeof (x) == sizeof (float)) ? __fpclassifyf(x) \
88 : (sizeof (x) == sizeof (double)) ? __fpclassifyd(x) \
92 ((sizeof (x) == sizeof (float)) ? __isfinitef(x) \
93 : (sizeof (x) == sizeof (double)) ? __isfinite(x) \
96 ((sizeof (x) == sizeof (float)) ? __isinff(x) \
97 : (sizeof (x) == sizeof (double)) ? isinf(x) \
100 ((sizeof (x) == sizeof (float)) ? isnanf(x) \
101 : (sizeof (x) == sizeof (double)) ? isnan(x) \
103 #define isnormal(x) \
104 ((sizeof (x) == sizeof (float)) ? __isnormalf(x) \
105 : (sizeof (x) == sizeof (double)) ? __isnormal(x) \
108 #ifdef __MATH_BUILTIN_RELOPS
109 #define isgreater(x, y) __builtin_isgreater((x), (y))
110 #define isgreaterequal(x, y) __builtin_isgreaterequal((x), (y))
111 #define isless(x, y) __builtin_isless((x), (y))
112 #define islessequal(x, y) __builtin_islessequal((x), (y))
113 #define islessgreater(x, y) __builtin_islessgreater((x), (y))
114 #define isunordered(x, y) __builtin_isunordered((x), (y))
116 #define isgreater(x, y) (!isunordered((x), (y)) && (x) > (y))
117 #define isgreaterequal(x, y) (!isunordered((x), (y)) && (x) >= (y))
118 #define isless(x, y) (!isunordered((x), (y)) && (x) < (y))
119 #define islessequal(x, y) (!isunordered((x), (y)) && (x) <= (y))
120 #define islessgreater(x, y) (!isunordered((x), (y)) && \
121 ((x) > (y) || (y) > (x)))
122 #define isunordered(x, y) (isnan(x) || isnan(y))
123 #endif /* __MATH_BUILTIN_RELOPS */
126 ((sizeof (x) == sizeof (float)) ? __signbitf(x) \
127 : (sizeof (x) == sizeof (double)) ? __signbit(x) \
130 typedef __double_t double_t;
131 typedef __float_t float_t;
132 #endif /* __ISO_C_VISIBLE >= 1999 */
137 #if __BSD_VISIBLE || __XSI_VISIBLE
138 #define M_E 2.7182818284590452354 /* e */
139 #define M_LOG2E 1.4426950408889634074 /* log 2e */
140 #define M_LOG10E 0.43429448190325182765 /* log 10e */
141 #define M_LN2 0.69314718055994530942 /* log e2 */
142 #define M_LN10 2.30258509299404568402 /* log e10 */
143 #define M_PI 3.14159265358979323846 /* pi */
144 #define M_PI_2 1.57079632679489661923 /* pi/2 */
145 #define M_PI_4 0.78539816339744830962 /* pi/4 */
146 #define M_1_PI 0.31830988618379067154 /* 1/pi */
147 #define M_2_PI 0.63661977236758134308 /* 2/pi */
148 #define M_2_SQRTPI 1.12837916709551257390 /* 2/sqrt(pi) */
149 #define M_SQRT2 1.41421356237309504880 /* sqrt(2) */
150 #define M_SQRT1_2 0.70710678118654752440 /* 1/sqrt(2) */
152 #define MAXFLOAT ((float)3.40282346638528860e+38)
154 #endif /* __BSD_VISIBLE || __XSI_VISIBLE */
158 /* Old value from 4.4BSD-Lite math.h; this is probably better. */
159 #define HUGE HUGE_VAL
161 #define HUGE MAXFLOAT
163 #endif /* __BSD_VISIBLE */
166 * Most of these functions depend on the rounding mode and have the side
167 * effect of raising floating-point exceptions, so they are not declared
168 * as __pure2. In C99, FENV_ACCESS affects the purity of these functions.
174 int __fpclassifyd(double) __pure2;
175 int __fpclassifyf(float) __pure2;
176 int __fpclassifyl(long double) __pure2;
177 int __isfinitef(float) __pure2;
178 int __isfinite(double) __pure2;
179 int __isfinitel(long double) __pure2;
180 int __isinff(float) __pure2;
181 int __isinfl(long double) __pure2;
182 int __isnanl(long double) __pure2;
183 int __isnormalf(float) __pure2;
184 int __isnormal(double) __pure2;
185 int __isnormall(long double) __pure2;
186 int __signbit(double) __pure2;
187 int __signbitf(float) __pure2;
188 int __signbitl(long double) __pure2;
193 double atan2(double, double);
203 double frexp(double, int *); /* fundamentally !__pure2 */
204 double ldexp(double, int);
206 double log10(double);
207 double modf(double, double *); /* fundamentally !__pure2 */
209 double pow(double, double);
213 double fabs(double) __pure2;
214 double floor(double);
215 double fmod(double, double);
218 * These functions are not in C90.
220 #if __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XSI_VISIBLE
221 double acosh(double);
222 double asinh(double);
223 double atanh(double);
228 double expm1(double);
229 double fma(double, double, double);
230 double hypot(double, double);
231 int ilogb(double) __pure2;
232 int (isinf)(double) __pure2;
233 int (isnan)(double) __pure2;
234 double lgamma(double);
235 long long llrint(double);
236 long long llround(double);
237 double log1p(double);
241 double nan(const char *) __pure2;
242 double nextafter(double, double);
243 double remainder(double, double);
244 double remquo(double, double, int *);
246 #endif /* __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XSI_VISIBLE */
248 #if __BSD_VISIBLE || __XSI_VISIBLE
251 double jn(int, double);
254 double yn(int, double);
256 #if __XSI_VISIBLE <= 500 || __BSD_VISIBLE
257 double gamma(double);
260 #if __XSI_VISIBLE <= 600 || __BSD_VISIBLE
261 double scalb(double, double);
263 #endif /* __BSD_VISIBLE || __XSI_VISIBLE */
265 #if __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999
266 double copysign(double, double) __pure2;
267 double fdim(double, double);
268 double fmax(double, double) __pure2;
269 double fmin(double, double) __pure2;
270 double nearbyint(double);
271 double round(double);
272 double scalbln(double, long);
273 double scalbn(double, int);
274 double tgamma(double);
275 double trunc(double);
279 * BSD math library entry points
282 double drem(double, double);
283 int finite(double) __pure2;
284 int isnanf(float) __pure2;
287 * Reentrant version of gamma & lgamma; passes signgam back by reference
288 * as the second argument; user must allocate space for signgam.
290 double gamma_r(double, int *);
291 double lgamma_r(double, int *);
296 double significand(double);
297 #endif /* __BSD_VISIBLE */
299 /* float versions of ANSI/POSIX functions */
300 #if __ISO_C_VISIBLE >= 1999
304 float atan2f(float, float);
316 float frexpf(float, int *); /* fundamentally !__pure2 */
317 int ilogbf(float) __pure2;
318 float ldexpf(float, int);
322 float modff(float, float *); /* fundamentally !__pure2 */
324 float powf(float, float);
328 float fabsf(float) __pure2;
330 float fmodf(float, float);
335 float hypotf(float, float);
336 float lgammaf(float);
337 float tgammaf(float);
344 float copysignf(float, float) __pure2;
345 long long llrintf(float);
346 long long llroundf(float);
349 float nanf(const char *) __pure2;
350 float nearbyintf(float);
351 float nextafterf(float, float);
352 float remainderf(float, float);
353 float remquof(float, float, int *);
355 float scalblnf(float, long);
356 float scalbnf(float, int);
359 float fdimf(float, float);
360 float fmaf(float, float, float);
361 float fmaxf(float, float) __pure2;
362 float fminf(float, float) __pure2;
366 * float versions of BSD math library entry points
369 float dremf(float, float);
370 int finitef(float) __pure2;
374 float jnf(int, float);
375 float scalbf(float, float);
378 float ynf(int, float);
381 * Float versions of reentrant version of gamma & lgamma; passes
382 * signgam back by reference as the second argument; user must
383 * allocate space for signgam.
385 float gammaf_r(float, int *);
386 float lgammaf_r(float, int *);
389 * float version of IEEE Test Vector
391 float significandf(float);
392 #endif /* __BSD_VISIBLE */
395 * long double versions of ISO/POSIX math functions
397 #if __ISO_C_VISIBLE >= 1999
399 long double acoshl(long double);
401 long double acosl(long double);
403 long double asinhl(long double);
405 long double asinl(long double);
406 long double atan2l(long double, long double);
408 long double atanhl(long double);
410 long double atanl(long double);
412 long double cbrtl(long double);
414 long double ceill(long double);
415 long double copysignl(long double, long double) __pure2;
417 long double coshl(long double);
419 long double cosl(long double);
421 long double erfcl(long double);
422 long double erfl(long double);
424 long double exp2l(long double);
426 long double expl(long double);
427 long double expm1l(long double);
429 long double fabsl(long double) __pure2;
430 long double fdiml(long double, long double);
431 long double floorl(long double);
432 long double fmal(long double, long double, long double);
433 long double fmaxl(long double, long double) __pure2;
434 long double fminl(long double, long double) __pure2;
435 long double fmodl(long double, long double);
436 long double frexpl(long double value, int *); /* fundamentally !__pure2 */
437 long double hypotl(long double, long double);
438 int ilogbl(long double) __pure2;
439 long double ldexpl(long double, int);
441 long double lgammal(long double);
443 long long llrintl(long double);
444 long long llroundl(long double);
446 long double log10l(long double);
447 long double log1pl(long double);
448 long double log2l(long double);
450 long double logbl(long double);
452 long double logl(long double);
454 long lrintl(long double);
455 long lroundl(long double);
456 long double modfl(long double, long double *); /* fundamentally !__pure2 */
457 long double nanl(const char *) __pure2;
458 long double nearbyintl(long double);
459 long double nextafterl(long double, long double);
460 double nexttoward(double, long double);
461 float nexttowardf(float, long double);
462 long double nexttowardl(long double, long double);
464 long double powl(long double, long double);
466 long double remainderl(long double, long double);
467 long double remquol(long double, long double, int *);
468 long double rintl(long double);
469 long double roundl(long double);
470 long double scalblnl(long double, long);
471 long double scalbnl(long double, int);
473 long double sinhl(long double);
475 long double sinl(long double);
476 long double sqrtl(long double);
478 long double tanhl(long double);
480 long double tanl(long double);
482 long double tgammal(long double);
484 long double truncl(long double);
486 #endif /* __ISO_C_VISIBLE >= 1999 */
489 #endif /* !_MATH_H_ */