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	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	* $NetBSD: math.h,v 1.41 2005/07/21 12:56:29 christos Exp $
	12	* $DragonFly: src/include/math.h,v 1.11 2007/06/17 17:46:01 pavalos Exp $
	13	*/
	14
	15	/*
	16	* @(#)fdlibm.h 5.1 93/09/24
	17	*/
	18
	19	#ifndef _MATH_H_
	20	#define _MATH_H_
	21
	22	#include <sys/cdefs.h>
	23
	24	#if __GNUC_PREREQ__(3, 3) \|\| (defined(__INTEL_COMPILER) && __INTEL_COMPILER >= 800)
	25	#define __MATH_BUILTIN_CONSTANTS
	26	#endif
	27
	28	#if __GNUC_PREREQ__(3, 0) && !defined(__INTEL_COMPILER)
	29	#define __MATH_BUILTIN_RELOPS
	30	#endif
	31
	32	union __float_u {
	33	unsigned char __dummy[sizeof(float)];
	34	float __val;
	35	};
	36
	37	union __double_u {
	38	unsigned char __dummy[sizeof(double)];
	39	double __val;
	40	};
	41
	42	union __long_double_u {
	43	unsigned char __dummy[sizeof(long double)];
	44	long double __val;
	45	};
	46
	47	#include <machine/math.h>
	48
	49	#ifdef __HAVE_LONG_DOUBLE
	50	#define __fpmacro_unary_floating(__name, __arg0) \
	51	/* LINTED */ \
	52	((sizeof (__arg0) == sizeof (float)) \
	53	? __ ## __name ## f (__arg0) \
	54	: (sizeof (__arg0) == sizeof (double)) \
	55	? __ ## __name ## d (__arg0) \
	56	: __ ## __name ## l (__arg0))
	57	#else
	58	#define __fpmacro_unary_floating(__name, __arg0) \
	59	/* LINTED */ \
	60	((sizeof (__arg0) == sizeof (float)) \
	61	? __ ## __name ## f (__arg0) \
	62	: __ ## __name ## d (__arg0))
	63	#endif /* __HAVE_LONG_DOUBLE */
	64
	65	/*
	66	* ANSI/POSIX
	67	*/
	68	/* 7.12#3 HUGE_VAL, HUGELF, HUGE_VALL */
	69	extern __const union __double_u __infinity;
	70	#ifdef __MATH_BUILTIN_CONSTANTS
	71	#define HUGE_VAL __builtin_huge_val()
	72	#else
	73	#define HUGE_VAL __infinity.__val
	74	#endif
	75
	76	/*
	77	* ISO C99
	78	*/
	79	#if __ISO_C_VISIBLE >= 1999
	80	/* 7.12#3 HUGE_VAL, HUGELF, HUGE_VALL */
	81	extern __const union __float_u __infinityf;
	82	#ifdef __MATH_BUILTIN_CONSTANTS
	83	#define HUGE_VALF __builtin_huge_valf()
	84	#else
	85	#define HUGE_VALF __infinityf.__val
	86	#endif
	87
	88	extern __const union __long_double_u __infinityl;
	89	#define HUGE_VALL __infinityl.__val
	90
	91	/* 7.12#4 INFINITY */
	92	#ifdef __MATH_BUILTIN_CONSTANTS
	93	#define INFINITY __builtin_inf()
	94	#elif defined(__INFINITY)
	95	#define INFINITY __INFINITY /* float constant which overflows */
	96	#else
	97	#define INFINITY HUGE_VALF /* positive infinity */
	98	#endif /* __INFINITY */
	99
	100	/* 7.12#5 NAN: a quiet NaN, if supported */
	101	#ifdef __MATH_BUILTIN_CONSTANTS
	102	#define NAN __builtin_nan("")
	103	#elif defined(__HAVE_NANF)
	104	extern __const union __float_u __nanf;
	105	#define NAN __nanf.__val
	106	#endif /* __HAVE_NANF */
	107
	108	/* 7.12#6 number classification macros */
	109	#define FP_INFINITE 0x00
	110	#define FP_NAN 0x01
	111	#define FP_NORMAL 0x02
	112	#define FP_SUBNORMAL 0x03
	113	#define FP_ZERO 0x04
	114	/* NetBSD extensions */
	115	#define _FP_LOMD 0x80 /* range for machine-specific classes */
	116	#define _FP_HIMD 0xff
	117
	118	#endif /* ISO C99 */
	119
	120	/*
	121	* XOPEN/SVID
	122	*/
	123	#if __XSI_VISIBLE > 0
	124	#define M_E 2.7182818284590452354 /* e */
	125	#define M_LOG2E 1.4426950408889634074 /* log 2e */
	126	#define M_LOG10E 0.43429448190325182765 /* log 10e */
	127	#define M_LN2 0.69314718055994530942 /* log e2 */
	128	#define M_LN10 2.30258509299404568402 /* log e10 */
	129	#define M_PI 3.14159265358979323846 /* pi */
	130	#define M_PI_2 1.57079632679489661923 /* pi/2 */
	131	#define M_PI_4 0.78539816339744830962 /* pi/4 */
	132	#define M_1_PI 0.31830988618379067154 /* 1/pi */
	133	#define M_2_PI 0.63661977236758134308 /* 2/pi */
	134	#define M_2_SQRTPI 1.12837916709551257390 /* 2/sqrt(pi) */
	135	#define M_SQRT2 1.41421356237309504880 /* sqrt(2) */
	136	#define M_SQRT1_2 0.70710678118654752440 /* 1/sqrt(2) */
	137
	138	#define MAXFLOAT ((float)3.40282346638528860e+38)
	139	extern int signgam;
	140	#endif /* _XSI_VISIBLE */
	141
	142	#if __DF_VISIBLE
	143	#define HUGE MAXFLOAT
	144
	145	/*
	146	* set X_TLOSS = pi2*52, which is possibly defined in <values.h>
	147	* (one may replace the following line by "#include <values.h>")
	148	*/
	149
	150	#define X_TLOSS 1.41484755040568800000e+16
	151
	152	#define DOMAIN 1
	153	#define SING 2
	154	#define OVERFLOW 3
	155	#define UNDERFLOW 4
	156	#define TLOSS 5
	157	#define PLOSS 6
	158
	159	#endif /* __DF_VISIBLE */
	160
	161	__BEGIN_DECLS
	162	/*
	163	* ANSI/POSIX
	164	*/
	165	double acos(double);
	166	double asin(double);
	167	double atan(double);
	168	double atan2(double, double);
	169	double cos(double);
	170	double sin(double);
	171	double tan(double);
	172
	173	double cosh(double);
	174	double sinh(double);
	175	double tanh(double);
	176
	177	double exp(double);
	178	double frexp(double, int *);
	179	double ldexp(double, int);
	180	double log(double);
	181	double log2(double);
	182	double log10(double);
	183	double modf(double, double *);
	184
	185	double pow(double, double);
	186	double sqrt(double);
	187
	188	double ceil(double);
	189	double fabs(double);
	190	double floor(double);
	191	double fmod(double, double);
	192
	193	#if __XSI_VISIBLE > 0
	194	double erf(double);
	195	double erfc(double);
	196	double gamma(double);
	197	double hypot(double, double);
	198	int finite(double);
	199	double j0(double);
	200	double j1(double);
	201	double jn(int, double);
	202	double lgamma(double);
	203	double y0(double);
	204	double y1(double);
	205	double yn(int, double);
	206	#endif /* __XSI_VISIBLE */
	207
	208	#if __XSI_VISIBLE >= 500
	209	double acosh(double);
	210	double asinh(double);
	211	double atanh(double);
	212	double cbrt(double);
	213	double expm1(double);
	214	int ilogb(double);
	215	double log1p(double);
	216	double logb(double);
	217	double nextafter(double, double);
	218	double remainder(double, double);
	219	double rint(double);
	220	double scalb(double, double);
	221	#endif /* __XSI_VISIBLE >= 500 */
	222
	223	/*
	224	* ISO C99
	225	*/
	226	#if __ISO_C_VISIBLE >= 1999
	227	/* 7.12.3.1 int fpclassify(real-floating x) */
	228	#define fpclassify(__x) __fpmacro_unary_floating(fpclassify, __x)
	229
	230	/* 7.12.3.2 int isfinite(real-floating x) */
	231	#define isfinite(__x) __fpmacro_unary_floating(isfinite, __x)
	232
	233	/* 7.12.3.5 int isnormal(real-floating x) */
	234	#define isnormal(__x) (fpclassify(__x) == FP_NORMAL)
	235
	236	/* 7.12.3.6 int signbit(real-floating x) */
	237	#define signbit(__x) __fpmacro_unary_floating(signbit, __x)
	238
	239	/* 7.12.4 trigonometric */
	240
	241	float acosf(float);
	242	float asinf(float);
	243	float atanf(float);
	244	float atan2f(float, float);
	245	float cosf(float);
	246	float sinf(float);
	247	float tanf(float);
	248
	249	/* 7.12.5 hyperbolic */
	250
	251	float acoshf(float);
	252	float asinhf(float);
	253	float atanhf(float);
	254	float coshf(float);
	255	float sinhf(float);
	256	float tanhf(float);
	257
	258	/* 7.12.6 exp / log */
	259
	260	float expf(float);
	261	float expm1f(float);
	262	float frexpf(float, int *);
	263	int ilogbf(float);
	264	float ldexpf(float, int);
	265	float logf(float);
	266	float log2f(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	double trunc(double);
	295	float truncf(float);
	296	long int lrint(double);
	297	long int lrintf(float);
	298	/* LONGLONG */
	299	long long int llrint(double);
	300	/* LONGLONG */
	301	long long int llrintf(float);
	302	long int lround(double);
	303	long int lroundf(float);
	304	/* LONGLONG */
	305	long long int llround(double);
	306	/* LONGLONG */
	307	long long int llroundf(float);
	308
	309	/* 7.12.10 remainder */
	310
	311	float fmodf(float, float);
	312	float remainderf(float, float);
	313
	314	/* 7.2.11 manipulation */
	315
	316	float copysignf(float, float);
	317	double nan(const char *);
	318	float nanf(const char *);
	319	long double nanl(const char *);
	320	float nextafterf(float, float);
	321
	322	#endif /* __ISO_C_VISIBLE >= 1999 */
	323
	324	#if __ISO_C_VISIBLE >= 1999
	325	/* 7.12.3.3 int isinf(real-floating x) */
	326	#ifdef __isinf
	327	#define isinf(__x) __isinf(__x)
	328	#else
	329	#define isinf(__x) __fpmacro_unary_floating(isinf, __x)
	330	#endif
	331
	332	/* 7.12.3.4 int isnan(real-floating x) */
	333	#ifdef __isnan
	334	#define isnan(__x) __isnan(__x)
	335	#else
	336	#define isnan(__x) __fpmacro_unary_floating(isnan, __x)
	337	#endif
	338
	339	/* 7.12.14 Comparision macros */
	340	#ifdef __MATH_BUILTIN_RELOPS
	341	#define isgreater(x, y) __builtin_isgreater((x), (y))
	342	#define isgreaterequal(x, y) __builtin_isgreaterequal((x), (y))
	343	#define isless(x, y) __builtin_isless((x), (y))
	344	#define islessequal(x, y) __builtin_islessequal((x), (y))
	345	#define islessgreater(x, y) __builtin_islessgreater((x), (y))
	346	#define isunordered(x, y) __builtin_isunordered((x), (y))
	347	#else
	348	#define isgreater(x, y) (!isunordered((x), (y)) && (x) > (y))
	349	#define isgreaterequal(x, y) (!isunordered((x), (y)) && (x) >= (y))
	350	#define isless(x, y) (!isunordered((x), (y)) && (x) < (y))
	351	#define islessequal(x, y) (!isunordered((x), (y)) && (x) <= (y))
	352	#define islessgreater(x, y) (!isunordered((x), (y)) && \
	353	((x) > (y) \|\| (y) > (x)))
	354	#define isunordered(x, y) (isnan(x) \|\| isnan(y))
	355	#endif /* __MATH_BUILTIN_RELOPS */
	356
	357	#endif /* __ISO_C_VISIBLE >= 1999 */
	358
	359	#if __DF_VISIBLE
	360	/*
	361	* IEEE Test Vector
	362	*/
	363	double significand(double);
	364
	365	/*
	366	* Functions callable from C, intended to support IEEE arithmetic.
	367	*/
	368	double copysign(double, double);
	369	double scalbn(double, int);
	370
	371	/*
	372	* BSD math library entry points
	373	*/
	374	double drem(double, double);
	375
	376	/*
	377	* Reentrant version of gamma & lgamma; passes signgam back by reference
	378	* as the second argument; user must allocate space for signgam.
	379	*/
	380	double gamma_r(double, int *);
	381	double lgamma_r(double, int *);
	382	#endif /* __DF_VISIBLE */
	383
	384
	385	#if __DF_VISIBLE
	386
	387	/* float versions of ANSI/POSIX functions */
	388
	389	float gammaf(float);
	390	int finitef(float);
	391	float j0f(float);
	392	float j1f(float);
	393	float jnf(int, float);
	394	float y0f(float);
	395	float y1f(float);
	396	float ynf(int, float);
	397
	398	float scalbf(float, float);
	399
	400	/*
	401	* float version of IEEE Test Vector
	402	*/
	403	float significandf(float);
	404
	405	/*
	406	* float versions of BSD math library entry points
	407	*/
	408	float dremf(float, float);
	409
	410	/*
	411	* Float versions of reentrant version of gamma & lgamma; passes
	412	* signgam back by reference as the second argument; user must
	413	* allocate space for signgam.
	414	*/
	415	float gammaf_r(float, int *);
	416	float lgammaf_r(float, int *);
	417	#endif /* __DF_VISIBLE */
	418
	419	/*
	420	* Library implementation
	421	*/
	422	int __fpclassifyf(float);
	423	int __fpclassifyd(double);
	424	int __isfinitef(float);
	425	int __isfinited(double);
	426	int __isinff(float);
	427	int __isinfd(double);
	428	int __isnanf(float);
	429	int __isnand(double);
	430	int __signbitf(float);
	431	int __signbitd(double);
	432
	433	#ifdef __HAVE_LONG_DOUBLE
	434	int __fpclassifyl(long double);
	435	int __isfinitel(long double);
	436	int __isinfl(long double);
	437	int __isnanl(long double);
	438	int __signbitl(long double);
	439	#endif
	440	__END_DECLS
	441
	442	#endif /* _MATH_H_ */