math.h revision c1929e44524c7c9fa2cc4fe33a5fedfdca2445a5
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 * $FreeBSD$
15 */
16
17#ifndef _MATH_H_
18#define _MATH_H_
19
20#include <sys/cdefs.h>
21#include <limits.h>
22
23__BEGIN_DECLS
24
25#define HUGE_VAL	__builtin_huge_val()
26
27#define FP_ILOGB0	(-INT_MAX)
28#define FP_ILOGBNAN	INT_MAX
29
30#define HUGE_VALF	__builtin_huge_valf()
31#define HUGE_VALL	__builtin_huge_vall()
32#define INFINITY	__builtin_inff()
33#define NAN		__builtin_nanf("")
34
35#define MATH_ERRNO	1
36#define MATH_ERREXCEPT	2
37#define math_errhandling	MATH_ERREXCEPT
38
39#if defined(__FP_FAST_FMA)
40#define FP_FAST_FMA 1
41#endif
42#if defined(__FP_FAST_FMAF)
43#define FP_FAST_FMAF 1
44#endif
45#if defined(__FP_FAST_FMAL)
46#define FP_FAST_FMAL 1
47#endif
48
49/* Symbolic constants to classify floating point numbers. */
50#define FP_INFINITE	0x01
51#define FP_NAN		0x02
52#define FP_NORMAL	0x04
53#define FP_SUBNORMAL	0x08
54#define FP_ZERO		0x10
55#define fpclassify(x) \
56    __builtin_fpclassify(FP_NAN, FP_INFINITE, FP_NORMAL, FP_SUBNORMAL, FP_ZERO, x)
57
58#define isfinite(x) __builtin_isfinite(x)
59#define isinf(x) __builtin_isinf(x)
60#define isnan(x) __builtin_isnan(x)
61#define isnormal(x) __builtin_isnormal(x)
62
63#define isgreater(x, y) __builtin_isgreater((x), (y))
64#define isgreaterequal(x, y) __builtin_isgreaterequal((x), (y))
65#define isless(x, y) __builtin_isless((x), (y))
66#define islessequal(x, y) __builtin_islessequal((x), (y))
67#define islessgreater(x, y) __builtin_islessgreater((x), (y))
68#define isunordered(x, y) __builtin_isunordered((x), (y))
69
70#define signbit(x) \
71    ((sizeof(x) == sizeof(float)) ? __builtin_signbitf(x) \
72    : (sizeof(x) == sizeof(double)) ? __builtin_signbit(x) \
73    : __builtin_signbitl(x))
74
75typedef double __double_t;
76typedef __double_t double_t;
77typedef float __float_t;
78typedef __float_t float_t;
79
80#if defined(__USE_BSD)
81#define HUGE MAXFLOAT
82#endif
83
84extern int signgam;
85
86/*
87 * Most of these functions depend on the rounding mode and have the side
88 * effect of raising floating-point exceptions, so they are not declared
89 * as __pure2.  In C99, FENV_ACCESS affects the purity of these functions.
90 */
91
92int __fpclassifyd(double) __pure2;
93int __fpclassifyf(float) __pure2;
94int __fpclassifyl(long double) __pure2;
95int __isfinitef(float) __pure2;
96int __isfinite(double) __pure2;
97int __isfinitel(long double) __pure2;
98int __isinff(float) __pure2;
99int __isinfl(long double) __pure2;
100int __isnanf(float) __pure2 __INTRODUCED_IN(21);
101int __isnanl(long double) __pure2;
102int __isnormalf(float) __pure2;
103int __isnormal(double) __pure2;
104int __isnormall(long double) __pure2;
105int __signbit(double) __pure2;
106int __signbitf(float) __pure2;
107int __signbitl(long double) __pure2;
108
109double	acos(double);
110double	asin(double);
111double	atan(double);
112double	atan2(double, double);
113double	cos(double);
114double	sin(double);
115double	tan(double);
116
117double	cosh(double);
118double	sinh(double);
119double	tanh(double);
120
121double	exp(double);
122double	frexp(double, int *);	/* fundamentally !__pure2 */
123double	ldexp(double, int);
124double	log(double);
125double	log10(double);
126double	modf(double, double *);	/* fundamentally !__pure2 */
127
128double	pow(double, double);
129double	sqrt(double);
130
131double	ceil(double);
132double	fabs(double) __pure2;
133double	floor(double);
134double	fmod(double, double);
135
136double	acosh(double);
137double	asinh(double);
138double	atanh(double);
139double	cbrt(double);
140double	erf(double);
141double	erfc(double);
142double	exp2(double);
143double	expm1(double);
144double	fma(double, double, double);
145double	hypot(double, double);
146int	ilogb(double) __pure2;
147int(isinf)(double) __pure2 __INTRODUCED_IN(21);
148int	(isnan)(double) __pure2;
149double	lgamma(double);
150long long llrint(double);
151long long llround(double);
152double	log1p(double);
153double log2(double) __INTRODUCED_IN(18);
154double	logb(double);
155long	lrint(double);
156long	lround(double);
157
158double nan(const char*) __pure2 __INTRODUCED_IN_ARM(13) __INTRODUCED_IN_MIPS(13)
159    __INTRODUCED_IN_X86(9);
160
161double	nextafter(double, double);
162double	remainder(double, double);
163double	remquo(double, double, int*);
164double	rint(double);
165
166double	copysign(double, double) __pure2;
167double	fdim(double, double);
168double	fmax(double, double) __pure2;
169double	fmin(double, double) __pure2;
170double	nearbyint(double);
171double	round(double);
172double scalbln(double, long) __INTRODUCED_IN_X86(18);
173double scalbn(double, int);
174double	tgamma(double);
175double	trunc(double);
176
177float	acosf(float);
178float	asinf(float);
179float	atanf(float);
180float	atan2f(float, float);
181float	cosf(float);
182float	sinf(float);
183float	tanf(float);
184
185float	coshf(float);
186float	sinhf(float);
187float	tanhf(float);
188
189float	exp2f(float);
190float	expf(float);
191float	expm1f(float);
192float	frexpf(float, int *);	/* fundamentally !__pure2 */
193int	ilogbf(float) __pure2;
194float	ldexpf(float, int);
195float	log10f(float);
196float	log1pf(float);
197float log2f(float) __INTRODUCED_IN(18);
198float	logf(float);
199float	modff(float, float *);	/* fundamentally !__pure2 */
200
201float	powf(float, float);
202float	sqrtf(float);
203
204float	ceilf(float);
205float	fabsf(float) __pure2;
206float	floorf(float);
207float	fmodf(float, float);
208float	roundf(float);
209
210float	erff(float);
211float	erfcf(float);
212float	hypotf(float, float);
213float	lgammaf(float);
214float tgammaf(float) __INTRODUCED_IN_ARM(13) __INTRODUCED_IN_MIPS(13) __INTRODUCED_IN_X86(9);
215
216float	acoshf(float);
217float	asinhf(float);
218float	atanhf(float);
219float	cbrtf(float);
220float	logbf(float);
221float	copysignf(float, float) __pure2;
222long long llrintf(float);
223long long llroundf(float);
224long	lrintf(float);
225long	lroundf(float);
226float nanf(const char*) __pure2 __INTRODUCED_IN_ARM(13) __INTRODUCED_IN_MIPS(13)
227    __INTRODUCED_IN_X86(9);
228float	nearbyintf(float);
229float	nextafterf(float, float);
230float	remainderf(float, float);
231float	remquof(float, float, int *);
232float	rintf(float);
233float	scalblnf(float, long) __INTRODUCED_IN_X86(18);
234float scalbnf(float, int);
235float	truncf(float);
236
237float	fdimf(float, float);
238float	fmaf(float, float, float);
239float	fmaxf(float, float) __pure2;
240float	fminf(float, float) __pure2;
241
242long double acoshl(long double) __INTRODUCED_IN(21);
243long double acosl(long double) __INTRODUCED_IN(21);
244long double asinhl(long double) __INTRODUCED_IN(21);
245long double asinl(long double) __INTRODUCED_IN(21);
246long double atan2l(long double, long double) __INTRODUCED_IN(21);
247long double atanhl(long double) __INTRODUCED_IN(21);
248long double atanl(long double) __INTRODUCED_IN(21);
249long double cbrtl(long double) __INTRODUCED_IN(21);
250long double ceill(long double);
251long double copysignl(long double, long double) __pure2;
252long double coshl(long double) __INTRODUCED_IN(21);
253long double cosl(long double) __INTRODUCED_IN(21);
254long double erfcl(long double) __INTRODUCED_IN(21);
255long double erfl(long double) __INTRODUCED_IN(21);
256long double exp2l(long double) __INTRODUCED_IN(21);
257long double expl(long double) __INTRODUCED_IN(21);
258long double expm1l(long double) __INTRODUCED_IN(21);
259long double fabsl(long double) __pure2;
260long double fdiml(long double, long double);
261long double floorl(long double);
262long double fmal(long double, long double, long double) __INTRODUCED_IN(21);
263long double fmaxl(long double, long double) __pure2;
264long double fminl(long double, long double) __pure2;
265long double fmodl(long double, long double) __INTRODUCED_IN(21);
266long double frexpl(long double value, int*) __INTRODUCED_IN(21); /* fundamentally !__pure2 */
267long double hypotl(long double, long double) __INTRODUCED_IN(21);
268int ilogbl(long double) __pure2;
269long double ldexpl(long double, int);
270long double lgammal(long double) __INTRODUCED_IN(21);
271long long llrintl(long double) __INTRODUCED_IN(21);
272long long llroundl(long double);
273long double log10l(long double) __INTRODUCED_IN(21);
274long double log1pl(long double) __INTRODUCED_IN(21);
275long double log2l(long double) __INTRODUCED_IN(18);
276long double logbl(long double) __INTRODUCED_IN(18);
277long double logl(long double) __INTRODUCED_IN(21);
278long lrintl(long double) __INTRODUCED_IN(21);
279long lroundl(long double);
280long double modfl(long double, long double*) __INTRODUCED_IN(21); /* fundamentally !__pure2 */
281long double nanl(const char*) __pure2 __INTRODUCED_IN(13);
282long double nearbyintl(long double) __INTRODUCED_IN(21);
283long double nextafterl(long double, long double) __INTRODUCED_IN(21);
284double nexttoward(double, long double) __INTRODUCED_IN(18);
285float nexttowardf(float, long double);
286long double nexttowardl(long double, long double) __INTRODUCED_IN(18);
287long double powl(long double, long double) __INTRODUCED_IN(21);
288long double remainderl(long double, long double) __INTRODUCED_IN(21);
289long double remquol(long double, long double, int*) __INTRODUCED_IN(21);
290long double rintl(long double) __INTRODUCED_IN(21);
291long double roundl(long double);
292long double scalblnl(long double, long) __INTRODUCED_IN_X86(18);
293long double scalbnl(long double, int);
294long double sinhl(long double) __INTRODUCED_IN(21);
295long double sinl(long double) __INTRODUCED_IN(21);
296long double sqrtl(long double) __INTRODUCED_IN(21);
297long double tanhl(long double) __INTRODUCED_IN(21);
298long double tanl(long double) __INTRODUCED_IN(21);
299long double tgammal(long double) __INTRODUCED_IN(21);
300long double truncl(long double);
301
302double j0(double);
303double j1(double);
304double jn(int, double);
305double y0(double);
306double y1(double);
307double yn(int, double);
308
309#define M_E		2.7182818284590452354	/* e */
310#define M_LOG2E		1.4426950408889634074	/* log 2e */
311#define M_LOG10E	0.43429448190325182765	/* log 10e */
312#define M_LN2		0.69314718055994530942	/* log e2 */
313#define M_LN10		2.30258509299404568402	/* log e10 */
314#define M_PI		3.14159265358979323846	/* pi */
315#define M_PI_2		1.57079632679489661923	/* pi/2 */
316#define M_PI_4		0.78539816339744830962	/* pi/4 */
317#define M_1_PI		0.31830988618379067154	/* 1/pi */
318#define M_2_PI		0.63661977236758134308	/* 2/pi */
319#define M_2_SQRTPI	1.12837916709551257390	/* 2/sqrt(pi) */
320#define M_SQRT2		1.41421356237309504880	/* sqrt(2) */
321#define M_SQRT1_2	0.70710678118654752440	/* 1/sqrt(2) */
322
323#define MAXFLOAT	((float)3.40282346638528860e+38)
324
325#if defined(__USE_BSD) || defined(__USE_GNU)
326double gamma(double);
327double scalb(double, double);
328double drem(double, double);
329int finite(double) __pure2;
330int isnanf(float) __pure2;
331double gamma_r(double, int*);
332double lgamma_r(double, int*);
333double significand(double);
334long double lgammal_r(long double, int*) __INTRODUCED_IN(23);
335long double significandl(long double) __INTRODUCED_IN(21);
336float dremf(float, float);
337int finitef(float) __pure2;
338float gammaf(float);
339float j0f(float);
340float j1f(float);
341float jnf(int, float);
342float scalbf(float, float);
343float y0f(float);
344float y1f(float);
345float ynf(int, float);
346float gammaf_r(float, int *);
347float lgammaf_r(float, int *);
348float significandf(float);
349#endif
350
351#if defined(__USE_GNU)
352#define M_El            2.718281828459045235360287471352662498L /* e */
353#define M_LOG2El        1.442695040888963407359924681001892137L /* log 2e */
354#define M_LOG10El       0.434294481903251827651128918916605082L /* log 10e */
355#define M_LN2l          0.693147180559945309417232121458176568L /* log e2 */
356#define M_LN10l         2.302585092994045684017991454684364208L /* log e10 */
357#define M_PIl           3.141592653589793238462643383279502884L /* pi */
358#define M_PI_2l         1.570796326794896619231321691639751442L /* pi/2 */
359#define M_PI_4l         0.785398163397448309615660845819875721L /* pi/4 */
360#define M_1_PIl         0.318309886183790671537767526745028724L /* 1/pi */
361#define M_2_PIl         0.636619772367581343075535053490057448L /* 2/pi */
362#define M_2_SQRTPIl     1.128379167095512573896158903121545172L /* 2/sqrt(pi) */
363#define M_SQRT2l        1.414213562373095048801688724209698079L /* sqrt(2) */
364#define M_SQRT1_2l      0.707106781186547524400844362104849039L /* 1/sqrt(2) */
365void sincos(double, double*, double*);
366void sincosf(float, float*, float*);
367void sincosl(long double, long double*, long double*);
368#endif
369
370__END_DECLS
371
372#endif /* !_MATH_H_ */
373