math.h revision 181074 
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: head/lib/msun/src/math.h 181074 2008-07-31 22:41:26Z das $
15 */
16
17#ifndef _MATH_H_
18#define	_MATH_H_
19
20#include <sys/cdefs.h>
21#include <sys/_types.h>
22#include <machine/_limits.h>
23
24/*
25 * ANSI/POSIX
26 */
27extern const union __infinity_un {
28	unsigned char	__uc[8];
29	double		__ud;
30} __infinity;
31
32extern const union __nan_un {
33	unsigned char	__uc[sizeof(float)];
34	float		__uf;
35} __nan;
36
37#if __GNUC_PREREQ__(3, 3) || (defined(__INTEL_COMPILER) && __INTEL_COMPILER >= 800)
38#define	__MATH_BUILTIN_CONSTANTS
39#endif
40
41#if __GNUC_PREREQ__(3, 0) && !defined(__INTEL_COMPILER)
42#define	__MATH_BUILTIN_RELOPS
43#endif
44
45#ifdef __MATH_BUILTIN_CONSTANTS
46#define	HUGE_VAL	__builtin_huge_val()
47#else
48#define	HUGE_VAL	(__infinity.__ud)
49#endif
50
51#if __ISO_C_VISIBLE >= 1999
52#define	FP_ILOGB0	(-__INT_MAX)
53#define	FP_ILOGBNAN	__INT_MAX
54
55#ifdef __MATH_BUILTIN_CONSTANTS
56#define	HUGE_VALF	__builtin_huge_valf()
57#define	HUGE_VALL	__builtin_huge_vall()
58#define	INFINITY	__builtin_inf()
59#define	NAN		__builtin_nan("")
60#else
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 */
66
67#define	MATH_ERRNO	1
68#define	MATH_ERREXCEPT	2
69#define	math_errhandling	MATH_ERREXCEPT
70
71/* XXX We need a <machine/math.h>. */
72#if defined(__ia64__) || defined(__sparc64__)
73#define	FP_FAST_FMA
74#endif
75#ifdef __ia64__
76#define	FP_FAST_FMAL
77#endif
78#define	FP_FAST_FMAF
79
80/* Symbolic constants to classify floating point numbers. */
81#define	FP_INFINITE	0x01
82#define	FP_NAN		0x02
83#define	FP_NORMAL	0x04
84#define	FP_SUBNORMAL	0x08
85#define	FP_ZERO		0x10
86#define	fpclassify(x) \
87    ((sizeof (x) == sizeof (float)) ? __fpclassifyf(x) \
88    : (sizeof (x) == sizeof (double)) ? __fpclassifyd(x) \
89    : __fpclassifyl(x))
90
91#define	isfinite(x)					\
92    ((sizeof (x) == sizeof (float)) ? __isfinitef(x)	\
93    : (sizeof (x) == sizeof (double)) ? __isfinite(x)	\
94    : __isfinitel(x))
95#define	isinf(x)					\
96    ((sizeof (x) == sizeof (float)) ? __isinff(x)	\
97    : (sizeof (x) == sizeof (double)) ? isinf(x)	\
98    : __isinfl(x))
99#define	isnan(x)					\
100    ((sizeof (x) == sizeof (float)) ? isnanf(x)		\
101    : (sizeof (x) == sizeof (double)) ? isnan(x)	\
102    : __isnanl(x))
103#define	isnormal(x)					\
104    ((sizeof (x) == sizeof (float)) ? __isnormalf(x)	\
105    : (sizeof (x) == sizeof (double)) ? __isnormal(x)	\
106    : __isnormall(x))
107
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))
115#else
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 */
124
125#define	signbit(x)					\
126    ((sizeof (x) == sizeof (float)) ? __signbitf(x)	\
127    : (sizeof (x) == sizeof (double)) ? __signbit(x)	\
128    : __signbitl(x))
129
130typedef	__double_t	double_t;
131typedef	__float_t	float_t;
132#endif /* __ISO_C_VISIBLE >= 1999 */
133
134/*
135 * XOPEN/SVID
136 */
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) */
151
152#define	MAXFLOAT	((float)3.40282346638528860e+38)
153extern int signgam;
154#endif /* __BSD_VISIBLE || __XSI_VISIBLE */
155
156#if __BSD_VISIBLE
157#if 0
158/* Old value from 4.4BSD-Lite math.h; this is probably better. */
159#define	HUGE		HUGE_VAL
160#else
161#define	HUGE		MAXFLOAT
162#endif
163#endif /* __BSD_VISIBLE */
164
165/*
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.
169 */
170__BEGIN_DECLS
171/*
172 * ANSI/POSIX
173 */
174int	__fpclassifyd(double) __pure2;
175int	__fpclassifyf(float) __pure2;
176int	__fpclassifyl(long double) __pure2;
177int	__isfinitef(float) __pure2;
178int	__isfinite(double) __pure2;
179int	__isfinitel(long double) __pure2;
180int	__isinff(float) __pure2;
181int	__isinfl(long double) __pure2;
182int	__isnanl(long double) __pure2;
183int	__isnormalf(float) __pure2;
184int	__isnormal(double) __pure2;
185int	__isnormall(long double) __pure2;
186int	__signbit(double) __pure2;
187int	__signbitf(float) __pure2;
188int	__signbitl(long double) __pure2;
189
190double	acos(double);
191double	asin(double);
192double	atan(double);
193double	atan2(double, double);
194double	cos(double);
195double	sin(double);
196double	tan(double);
197
198double	cosh(double);
199double	sinh(double);
200double	tanh(double);
201
202double	exp(double);
203double	frexp(double, int *);	/* fundamentally !__pure2 */
204double	ldexp(double, int);
205double	log(double);
206double	log10(double);
207double	modf(double, double *);	/* fundamentally !__pure2 */
208
209double	pow(double, double);
210double	sqrt(double);
211
212double	ceil(double);
213double	fabs(double) __pure2;
214double	floor(double);
215double	fmod(double, double);
216
217/*
218 * These functions are not in C90.
219 */
220#if __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XSI_VISIBLE
221double	acosh(double);
222double	asinh(double);
223double	atanh(double);
224double	cbrt(double);
225double	erf(double);
226double	erfc(double);
227double	exp2(double);
228double	expm1(double);
229double	fma(double, double, double);
230double	hypot(double, double);
231int	ilogb(double) __pure2;
232int	(isinf)(double) __pure2;
233int	(isnan)(double) __pure2;
234double	lgamma(double);
235long long llrint(double);
236long long llround(double);
237double	log1p(double);
238double	logb(double);
239long	lrint(double);
240long	lround(double);
241double	nan(const char *) __pure2;
242double	nextafter(double, double);
243double	remainder(double, double);
244double	remquo(double, double, int *);
245double	rint(double);
246#endif /* __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XSI_VISIBLE */
247
248#if __BSD_VISIBLE || __XSI_VISIBLE
249double	j0(double);
250double	j1(double);
251double	jn(int, double);
252double	scalb(double, double);
253double	y0(double);
254double	y1(double);
255double	yn(int, double);
256
257#if __XSI_VISIBLE <= 500 || __BSD_VISIBLE
258double	gamma(double);
259#endif
260#endif /* __BSD_VISIBLE || __XSI_VISIBLE */
261
262#if __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999
263double	copysign(double, double) __pure2;
264double	fdim(double, double);
265double	fmax(double, double) __pure2;
266double	fmin(double, double) __pure2;
267double	nearbyint(double);
268double	round(double);
269double	scalbln(double, long);
270double	scalbn(double, int);
271double	tgamma(double);
272double	trunc(double);
273#endif
274
275/*
276 * BSD math library entry points
277 */
278#if __BSD_VISIBLE
279double	drem(double, double);
280int	finite(double) __pure2;
281int	isnanf(float) __pure2;
282
283/*
284 * Reentrant version of gamma & lgamma; passes signgam back by reference
285 * as the second argument; user must allocate space for signgam.
286 */
287double	gamma_r(double, int *);
288double	lgamma_r(double, int *);
289
290/*
291 * IEEE Test Vector
292 */
293double	significand(double);
294#endif /* __BSD_VISIBLE */
295
296/* float versions of ANSI/POSIX functions */
297#if __ISO_C_VISIBLE >= 1999
298float	acosf(float);
299float	asinf(float);
300float	atanf(float);
301float	atan2f(float, float);
302float	cosf(float);
303float	sinf(float);
304float	tanf(float);
305
306float	coshf(float);
307float	sinhf(float);
308float	tanhf(float);
309
310float	exp2f(float);
311float	expf(float);
312float	expm1f(float);
313float	frexpf(float, int *);	/* fundamentally !__pure2 */
314int	ilogbf(float) __pure2;
315float	ldexpf(float, int);
316float	log10f(float);
317float	log1pf(float);
318float	logf(float);
319float	modff(float, float *);	/* fundamentally !__pure2 */
320
321float	powf(float, float);
322float	sqrtf(float);
323
324float	ceilf(float);
325float	fabsf(float) __pure2;
326float	floorf(float);
327float	fmodf(float, float);
328float	roundf(float);
329
330float	erff(float);
331float	erfcf(float);
332float	hypotf(float, float);
333float	lgammaf(float);
334float	tgammaf(float);
335
336float	acoshf(float);
337float	asinhf(float);
338float	atanhf(float);
339float	cbrtf(float);
340float	logbf(float);
341float	copysignf(float, float) __pure2;
342long long llrintf(float);
343long long llroundf(float);
344long	lrintf(float);
345long	lroundf(float);
346float	nanf(const char *) __pure2;
347float	nearbyintf(float);
348float	nextafterf(float, float);
349float	remainderf(float, float);
350float	remquof(float, float, int *);
351float	rintf(float);
352float	scalblnf(float, long);
353float	scalbnf(float, int);
354float	truncf(float);
355
356float	fdimf(float, float);
357float	fmaf(float, float, float);
358float	fmaxf(float, float) __pure2;
359float	fminf(float, float) __pure2;
360#endif
361
362/*
363 * float versions of BSD math library entry points
364 */
365#if __BSD_VISIBLE
366float	dremf(float, float);
367int	finitef(float) __pure2;
368float	gammaf(float);
369float	j0f(float);
370float	j1f(float);
371float	jnf(int, float);
372float	scalbf(float, float);
373float	y0f(float);
374float	y1f(float);
375float	ynf(int, float);
376
377/*
378 * Float versions of reentrant version of gamma & lgamma; passes
379 * signgam back by reference as the second argument; user must
380 * allocate space for signgam.
381 */
382float	gammaf_r(float, int *);
383float	lgammaf_r(float, int *);
384
385/*
386 * float version of IEEE Test Vector
387 */
388float	significandf(float);
389#endif	/* __BSD_VISIBLE */
390
391/*
392 * long double versions of ISO/POSIX math functions
393 */
394#if __ISO_C_VISIBLE >= 1999
395#if 0
396long double	acoshl(long double);
397#endif
398long double	acosl(long double);
399#if 0
400long double	asinhl(long double);
401#endif
402long double	asinl(long double);
403long double	atan2l(long double, long double);
404#if 0
405long double	atanhl(long double);
406#endif
407long double	atanl(long double);
408#if 0
409long double	cbrtl(long double);
410#endif
411long double	ceill(long double);
412long double	copysignl(long double, long double) __pure2;
413#if 0
414long double	coshl(long double);
415#endif
416long double	cosl(long double);
417#if 0
418long double	erfcl(long double);
419long double	erfl(long double);
420#endif
421long double	exp2l(long double);
422#if 0
423long double	expl(long double);
424long double	expm1l(long double);
425#endif
426long double	fabsl(long double) __pure2;
427long double	fdiml(long double, long double);
428long double	floorl(long double);
429long double	fmal(long double, long double, long double);
430long double	fmaxl(long double, long double) __pure2;
431long double	fminl(long double, long double) __pure2;
432long double	fmodl(long double, long double);
433long double	frexpl(long double value, int *); /* fundamentally !__pure2 */
434long double	hypotl(long double, long double);
435int		ilogbl(long double) __pure2;
436long double	ldexpl(long double, int);
437#if 0
438long double	lgammal(long double);
439#endif
440long long	llrintl(long double);
441long long	llroundl(long double);
442#if 0
443long double	log10l(long double);
444long double	log1pl(long double);
445long double	log2l(long double);
446#endif
447long double	logbl(long double);
448#if 0
449long double	logl(long double);
450#endif
451long		lrintl(long double);
452long		lroundl(long double);
453long double	modfl(long double, long double *); /* fundamentally !__pure2 */
454long double	nanl(const char *) __pure2;
455long double	nearbyintl(long double);
456long double	nextafterl(long double, long double);
457double		nexttoward(double, long double);
458float		nexttowardf(float, long double);
459long double	nexttowardl(long double, long double);
460#if 0
461long double	powl(long double, long double);
462#endif
463long double	remainderl(long double, long double);
464long double	remquol(long double, long double, int *);
465long double	rintl(long double);
466long double	roundl(long double);
467long double	scalblnl(long double, long);
468long double	scalbnl(long double, int);
469#if 0
470long double	sinhl(long double);
471#endif
472long double	sinl(long double);
473long double	sqrtl(long double);
474#if 0
475long double	tanhl(long double);
476#endif
477long double	tanl(long double);
478#if 0
479long double	tgammal(long double);
480#endif
481long double	truncl(long double);
482
483#endif /* __ISO_C_VISIBLE >= 1999 */
484__END_DECLS
485
486#endif /* !_MATH_H_ */
487