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	1	/* $NetBSD: math.h,v 1.40 2005/02/03 04:39:32 perry Exp $ */
	2
	3	/*
	4	* ====================================================
	5	* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
	6	*
	7	* Developed at SunPro, a Sun Microsystems, Inc. business.
	8	* Permission to use, copy, modify, and distribute this
	9	* software is freely granted, provided that this notice
	10	* is preserved.
	11	* ====================================================
	12	*
	13	* $NetBSD: math.h,v 1.40 2005/02/03 04:39:32 perry Exp $
	14	* $DragonFly: src/include/math.h,v 1.8 2006/05/17 14:06:36 swildner Exp $
	15	*/
	16
	17	/*
	18	* @(#)fdlibm.h 5.1 93/09/24
	19	*/
	20
	21	#ifndef _MATH_H_
	22	#define _MATH_H_
	23
	24	#include <sys/cdefs.h>
	25
	26	#if __GNUC_PREREQ__(3, 3) \|\| (defined(__INTEL_COMPILER) && __INTEL_COMPILER >= 800)
	27	#define __MATH_BUILTIN_CONSTANTS
	28	#endif
	29
	30	#if __GNUC_PREREQ__(3, 0) && !defined(__INTEL_COMPILER)
	31	#define __MATH_BUILTIN_RELOPS
	32	#endif
	33
	34	union __float_u {
	35	unsigned char __dummy[sizeof(float)];
	36	float __val;
	37	};
	38
	39	union __double_u {
	40	unsigned char __dummy[sizeof(double)];
	41	double __val;
	42	};
	43
	44	union __long_double_u {
	45	unsigned char __dummy[sizeof(long double)];
	46	long double __val;
	47	};
	48
	49	#include <machine/math.h>
	50
	51	#ifdef __HAVE_LONG_DOUBLE
	52	#define __fpmacro_unary_floating(__name, __arg0) \
	53	/* LINTED */ \
	54	((sizeof (__arg0) == sizeof (float)) \
	55	? __ ## __name ## f (__arg0) \
	56	: (sizeof (__arg0) == sizeof (double)) \
	57	? __ ## __name ## d (__arg0) \
	58	: __ ## __name ## l (__arg0))
	59	#else
	60	#define __fpmacro_unary_floating(__name, __arg0) \
	61	/* LINTED */ \
	62	((sizeof (__arg0) == sizeof (float)) \
	63	? __ ## __name ## f (__arg0) \
	64	: __ ## __name ## d (__arg0))
	65	#endif /* __HAVE_LONG_DOUBLE */
	66
	67	/*
	68	* ANSI/POSIX
	69	*/
	70	/* 7.12#3 HUGE_VAL, HUGELF, HUGE_VALL */
	71	extern __const union __double_u __infinity;
	72	#ifdef __MATH_BUILTIN_CONSTANTS
	73	#define HUGE_VAL __builtin_huge_val()
	74	#else
	75	#define HUGE_VAL __infinity.__val
	76	#endif
	77
	78	/*
	79	* ISO C99
	80	*/
	81	#if __ISO_C_VISIBLE >= 1999
	82	/* 7.12#3 HUGE_VAL, HUGELF, HUGE_VALL */
	83	extern __const union __float_u __infinityf;
	84	#ifdef __MATH_BUILTIN_CONSTANTS
	85	#define HUGE_VALF __builtin_huge_valf()
	86	#else
	87	#define HUGE_VALF __infinityf.__val
	88	#endif
	89
	90	extern __const union __long_double_u __infinityl;
	91	#define HUGE_VALL __infinityl.__val
	92
	93	/* 7.12#4 INFINITY */
	94	#ifdef __MATH_BUILTIN_CONSTANTS
	95	#define INFINITY __builtin_inf()
	96	#elif defined(__INFINITY)
	97	#define INFINITY __INFINITY /* float constant which overflows */
	98	#else
	99	#define INFINITY HUGE_VALF /* positive infinity */
	100	#endif /* __INFINITY */
	101
	102	/* 7.12#5 NAN: a quiet NaN, if supported */
	103	#ifdef __MATH_BUILTIN_CONSTANTS
	104	#define NAN __builtin_nan("")
	105	#elif defined(__HAVE_NANF)
	106	extern __const union __float_u __nanf;
	107	#define NAN __nanf.__val
	108	#endif /* __HAVE_NANF */
	109
	110	/* 7.12#6 number classification macros */
	111	#define FP_INFINITE 0x00
	112	#define FP_NAN 0x01
	113	#define FP_NORMAL 0x02
	114	#define FP_SUBNORMAL 0x03
	115	#define FP_ZERO 0x04
	116	/* NetBSD extensions */
	117	#define _FP_LOMD 0x80 /* range for machine-specific classes */
	118	#define _FP_HIMD 0xff
	119
	120	#endif /* ISO C99 */
	121
	122	/*
	123	* XOPEN/SVID
	124	*/
	125	#if __XSI_VISIBLE > 0
	126	#define M_E 2.7182818284590452354 /* e */
	127	#define M_LOG2E 1.4426950408889634074 /* log 2e */
	128	#define M_LOG10E 0.43429448190325182765 /* log 10e */
	129	#define M_LN2 0.69314718055994530942 /* log e2 */
	130	#define M_LN10 2.30258509299404568402 /* log e10 */
	131	#define M_PI 3.14159265358979323846 /* pi */
	132	#define M_PI_2 1.57079632679489661923 /* pi/2 */
	133	#define M_PI_4 0.78539816339744830962 /* pi/4 */
	134	#define M_1_PI 0.31830988618379067154 /* 1/pi */
	135	#define M_2_PI 0.63661977236758134308 /* 2/pi */
	136	#define M_2_SQRTPI 1.12837916709551257390 /* 2/sqrt(pi) */
	137	#define M_SQRT2 1.41421356237309504880 /* sqrt(2) */
	138	#define M_SQRT1_2 0.70710678118654752440 /* 1/sqrt(2) */
	139
	140	#define MAXFLOAT ((float)3.40282346638528860e+38)
	141	extern int signgam;
	142	#endif /* _XSI_VISIBLE */
	143
	144	#if __DF_VISIBLE
	145	#define HUGE MAXFLOAT
	146
	147	/*
	148	* set X_TLOSS = pi2*52, which is possibly defined in <values.h>
	149	* (one may replace the following line by "#include <values.h>")
	150	*/
	151
	152	#define X_TLOSS 1.41484755040568800000e+16
	153
	154	#define DOMAIN 1
	155	#define SING 2
	156	#define OVERFLOW 3
	157	#define UNDERFLOW 4
	158	#define TLOSS 5
	159	#define PLOSS 6
	160
	161	#endif /* __DF_VISIBLE */
	162
	163	__BEGIN_DECLS
	164	/*
	165	* ANSI/POSIX
	166	*/
	167	double acos(double);
	168	double asin(double);
	169	double atan(double);
	170	double atan2(double, double);
	171	double cos(double);
	172	double sin(double);
	173	double tan(double);
	174
	175	double cosh(double);
	176	double sinh(double);
	177	double tanh(double);
	178
	179	double exp(double);
	180	double frexp(double, int *);
	181	double ldexp(double, int);
	182	double log(double);
	183	double log10(double);
	184	double modf(double, double *);
	185
	186	double pow(double, double);
	187	double sqrt(double);
	188
	189	double ceil(double);
	190	double fabs(double);
	191	double floor(double);
	192	double fmod(double, double);
	193
	194	#if __XSI_VISIBLE > 0
	195	double erf(double);
	196	double erfc(double);
	197	double gamma(double);
	198	double hypot(double, double);
	199	int finite(double);
	200	double j0(double);
	201	double j1(double);
	202	double jn(int, double);
	203	double lgamma(double);
	204	double y0(double);
	205	double y1(double);
	206	double yn(int, double);
	207	#endif /* __XSI_VISIBLE */
	208
	209	#if __XSI_VISIBLE >= 500
	210	double acosh(double);
	211	double asinh(double);
	212	double atanh(double);
	213	double cbrt(double);
	214	double expm1(double);
	215	int ilogb(double);
	216	double log1p(double);
	217	double logb(double);
	218	double nextafter(double, double);
	219	double remainder(double, double);
	220	double rint(double);
	221	double scalb(double, double);
	222	#endif /* __XSI_VISIBLE >= 500 */
	223
	224	/*
	225	* ISO C99
	226	*/
	227	#if __ISO_C_VISIBLE >= 1999
	228	/* 7.12.3.1 int fpclassify(real-floating x) */
	229	#define fpclassify(__x) __fpmacro_unary_floating(fpclassify, __x)
	230
	231	/* 7.12.3.2 int isfinite(real-floating x) */
	232	#define isfinite(__x) __fpmacro_unary_floating(isfinite, __x)
	233
	234	/* 7.12.3.5 int isnormal(real-floating x) */
	235	#define isnormal(__x) (fpclassify(__x) == FP_NORMAL)
	236
	237	/* 7.12.3.6 int signbit(real-floating x) */
	238	#define signbit(__x) __fpmacro_unary_floating(signbit, __x)
	239
	240	/* 7.12.4 trigonometric */
	241
	242	float acosf(float);
	243	float asinf(float);
	244	float atanf(float);
	245	float atan2f(float, float);
	246	float cosf(float);
	247	float sinf(float);
	248	float tanf(float);
	249
	250	/* 7.12.5 hyperbolic */
	251
	252	float acoshf(float);
	253	float asinhf(float);
	254	float atanhf(float);
	255	float coshf(float);
	256	float sinhf(float);
	257	float tanhf(float);
	258
	259	/* 7.12.6 exp / log */
	260
	261	float expf(float);
	262	float expm1f(float);
	263	float frexpf(float, int *);
	264	int ilogbf(float);
	265	float ldexpf(float, int);
	266	float logf(float);
	267	float log10f(float);
	268	float log1pf(float);
	269	float logbf(float);
	270	float modff(float, float *);
	271	float scalbnf(float, int);
	272
	273	/* 7.12.7 power / absolute */
	274
	275	float cbrtf(float);
	276	float fabsf(float);
	277	float hypotf(float, float);
	278	float powf(float, float);
	279	float sqrtf(float);
	280
	281	/* 7.12.8 error / gamma */
	282
	283	float erff(float);
	284	float erfcf(float);
	285	float lgammaf(float);
	286
	287	/* 7.12.9 nearest integer */
	288
	289	float ceilf(float);
	290	float floorf(float);
	291	float rintf(float);
	292	double round(double);
	293	float roundf(float);
	294	long int lrint(double);
	295	long int lrintf(float);
	296	/* LONGLONG */
	297	long long int llrint(double);
	298	/* LONGLONG */
	299	long long int llrintf(float);
	300	long int lround(double);
	301	long int lroundf(float);
	302	/* LONGLONG */
	303	long long int llround(double);
	304	/* LONGLONG */
	305	long long int llroundf(float);
	306
	307	/* 7.12.10 remainder */
	308
	309	float fmodf(float, float);
	310	float remainderf(float, float);
	311
	312	/* 7.2.11 manipulation */
	313
	314	float copysignf(float, float);
	315	float nextafterf(float, float);
	316
	317	#endif /* __ISO_C_VISIBLE >= 1999 */
	318
	319	#if __ISO_C_VISIBLE >= 1999
	320	/* 7.12.3.3 int isinf(real-floating x) */
	321	#ifdef __isinf
	322	#define isinf(__x) __isinf(__x)
	323	#else
	324	#define isinf(__x) __fpmacro_unary_floating(isinf, __x)
	325	#endif
	326
	327	/* 7.12.3.4 int isnan(real-floating x) */
	328	#ifdef __isnan
	329	#define isnan(__x) __isnan(__x)
	330	#else
	331	#define isnan(__x) __fpmacro_unary_floating(isnan, __x)
	332	#endif
	333
	334	/* 7.12.14 Comparision macros */
	335	#ifdef __MATH_BUILTIN_RELOPS
	336	#define isgreater(x, y) __builtin_isgreater((x), (y))
	337	#define isgreaterequal(x, y) __builtin_isgreaterequal((x), (y))
	338	#define isless(x, y) __builtin_isless((x), (y))
	339	#define islessequal(x, y) __builtin_islessequal((x), (y))
	340	#define islessgreater(x, y) __builtin_islessgreater((x), (y))
	341	#define isunordered(x, y) __builtin_isunordered((x), (y))
	342	#else
	343	#define isgreater(x, y) (!isunordered((x), (y)) && (x) > (y))
	344	#define isgreaterequal(x, y) (!isunordered((x), (y)) && (x) >= (y))
	345	#define isless(x, y) (!isunordered((x), (y)) && (x) < (y))
	346	#define islessequal(x, y) (!isunordered((x), (y)) && (x) <= (y))
	347	#define islessgreater(x, y) (!isunordered((x), (y)) && \
	348	((x) > (y) \|\| (y) > (x)))
	349	#define isunordered(x, y) (isnan(x) \|\| isnan(y))
	350	#endif /* __MATH_BUILTIN_RELOPS */
	351
	352	#endif /* __ISO_C_VISIBLE >= 1999 */
	353
	354	#if __DF_VISIBLE
	355	/*
	356	* IEEE Test Vector
	357	*/
	358	double significand(double);
	359
	360	/*
	361	* Functions callable from C, intended to support IEEE arithmetic.
	362	*/
	363	double copysign(double, double);
	364	double scalbn(double, int);
	365
	366	/*
	367	* BSD math library entry points
	368	*/
	369	double drem(double, double);
	370
	371	/*
	372	* Reentrant version of gamma & lgamma; passes signgam back by reference
	373	* as the second argument; user must allocate space for signgam.
	374	*/
	375	double gamma_r(double, int *);
	376	double lgamma_r(double, int *);
	377	#endif /* __DF_VISIBLE */
	378
	379
	380	#if __DF_VISIBLE
	381
	382	/* float versions of ANSI/POSIX functions */
	383
	384	float gammaf(float);
	385	int finitef(float);
	386	float j0f(float);
	387	float j1f(float);
	388	float jnf(int, float);
	389	float y0f(float);
	390	float y1f(float);
	391	float ynf(int, float);
	392
	393	float scalbf(float, float);
	394
	395	/*
	396	* float version of IEEE Test Vector
	397	*/
	398	float significandf(float);
	399
	400	/*
	401	* float versions of BSD math library entry points
	402	*/
	403	float dremf(float, float);
	404
	405	/*
	406	* Float versions of reentrant version of gamma & lgamma; passes
	407	* signgam back by reference as the second argument; user must
	408	* allocate space for signgam.
	409	*/
	410	float gammaf_r(float, int *);
	411	float lgammaf_r(float, int *);
	412	#endif /* __DF_VISIBLE */
	413
	414	/*
	415	* Library implementation
	416	*/
	417	int __fpclassifyf(float);
	418	int __fpclassifyd(double);
	419	int __isfinitef(float);
	420	int __isfinited(double);
	421	int __isinff(float);
	422	int __isinfd(double);
	423	int __isnanf(float);
	424	int __isnand(double);
	425	int __signbitf(float);
	426	int __signbitd(double);
	427
	428	#ifdef __HAVE_LONG_DOUBLE
	429	int __fpclassifyl(long double);
	430	int __isfinitel(long double);
	431	int __isinfl(long double);
	432	int __isnanl(long double);
	433	int __signbitl(long double);
	434	#endif
	435	__END_DECLS
	436
	437	#endif /* _MATH_H_ */