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math.h revision 1.30
      1 /*	$NetBSD: math.h,v 1.30 2004/01/17 01:04:46 uwe 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 
     14 /*
     15  * @(#)fdlibm.h 5.1 93/09/24
     16  */
     17 
     18 #ifndef _MATH_H_
     19 #define _MATH_H_
     20 
     21 #include <sys/cdefs.h>
     22 #include <sys/featuretest.h>
     23 
     24 union __float_u {
     25 	unsigned char __dummy[sizeof(float)];
     26 	float __val;
     27 };
     28 
     29 union __double_u {
     30 	unsigned char __dummy[sizeof(double)];
     31 	double __val;
     32 };
     33 
     34 union __long_double_u {
     35 	unsigned char __dummy[sizeof(long double)];
     36 	long double __val;
     37 };
     38 
     39 #include <machine/math.h>		/* may use __float_u, __double_u,
     40 					   or __long_double_u */
     41 
     42 #ifdef __HAVE_LONG_DOUBLE
     43 #define	__fpmacro_unary_floating(__name, __arg0)			\
     44 	((sizeof (__arg0) == sizeof (float))				\
     45 	?	__ ## __name ## f (__arg0)				\
     46 	: (sizeof (__arg0) == sizeof (double))				\
     47 	?	__ ## __name ## d (__arg0)				\
     48 	:	__ ## __name ## l (__arg0))
     49 #else
     50 #define	__fpmacro_unary_floating(__name, __arg0)			\
     51 	((sizeof (__arg0) == sizeof (float))				\
     52 	?	__ ## __name ## f (__arg0)				\
     53 	:	__ ## __name ## d (__arg0))
     54 #endif /* __HAVE_LONG_DOUBLE */
     55 
     56 /*
     57  * ANSI/POSIX
     58  */
     59 /* 7.12#3 HUGE_VAL, HUGELF, HUGE_VALL */
     60 extern __const union __double_u __infinity;
     61 #define HUGE_VAL	__infinity.__val
     62 
     63 /*
     64  * ISO C99
     65  */
     66 #if !defined(_ANSI_SOURCE) && !defined(_POSIX_C_SOURCE) && \
     67     !defined(_XOPEN_SOURCE) || \
     68     ((__STDC_VERSION__ - 0) >= 199901L) || \
     69     ((_POSIX_C_SOURCE - 0) >= 200112L) || \
     70     ((_XOPEN_SOURCE  - 0) >= 600) || \
     71     defined(_ISOC99_SOURCE) || defined(_NETBSD_SOURCE)
     72 /* 7.12#3 HUGE_VAL, HUGELF, HUGE_VALL */
     73 extern __const union __float_u __infinityf;
     74 #define	HUGE_VALF	__infinityf.__val
     75 
     76 extern __const union __long_double_u __infinityl;
     77 #define	HUGE_VALL	__infinityl.__val
     78 
     79 /* 7.12#4 INFINITY */
     80 #ifdef __INFINITY
     81 #define	INFINITY	__INFINITY	/* float constant which overflows */
     82 #else
     83 #define	INFINITY	HUGE_VALF	/* positive infinity */
     84 #endif /* __INFINITY */
     85 
     86 /* 7.12#5 NAN: a quiet NaN, if supported */
     87 #ifdef __HAVE_NANF
     88 extern __const union __float_u __nanf;
     89 #define	NAN		__nanf.__val
     90 #endif /* __HAVE_NANF */
     91 
     92 /* 7.12#6 number classification macros */
     93 #define	FP_INFINITE	0x00
     94 #define	FP_NAN		0x01
     95 #define	FP_NORMAL	0x02
     96 #define	FP_SUBNORMAL	0x03
     97 #define	FP_ZERO		0x04
     98 /* NetBSD extensions */
     99 #define	_FP_LOMD	0x80		/* range for machine-specific classes */
    100 #define	_FP_HIMD	0xff
    101 
    102 #endif /* !_ANSI_SOURCE && ... */
    103 
    104 /*
    105  * XOPEN/SVID
    106  */
    107 #if defined(_XOPEN_SOURCE) || defined(_NETBSD_SOURCE)
    108 #define	M_E		2.7182818284590452354	/* e */
    109 #define	M_LOG2E		1.4426950408889634074	/* log 2e */
    110 #define	M_LOG10E	0.43429448190325182765	/* log 10e */
    111 #define	M_LN2		0.69314718055994530942	/* log e2 */
    112 #define	M_LN10		2.30258509299404568402	/* log e10 */
    113 #define	M_PI		3.14159265358979323846	/* pi */
    114 #define	M_PI_2		1.57079632679489661923	/* pi/2 */
    115 #define	M_PI_4		0.78539816339744830962	/* pi/4 */
    116 #define	M_1_PI		0.31830988618379067154	/* 1/pi */
    117 #define	M_2_PI		0.63661977236758134308	/* 2/pi */
    118 #define	M_2_SQRTPI	1.12837916709551257390	/* 2/sqrt(pi) */
    119 #define	M_SQRT2		1.41421356237309504880	/* sqrt(2) */
    120 #define	M_SQRT1_2	0.70710678118654752440	/* 1/sqrt(2) */
    121 
    122 #define	MAXFLOAT	((float)3.40282346638528860e+38)
    123 extern int signgam;
    124 #endif /* _XOPEN_SOURCE || _NETBSD_SOURCE */
    125 
    126 #if defined(_NETBSD_SOURCE)
    127 enum fdversion {fdlibm_ieee = -1, fdlibm_svid, fdlibm_xopen, fdlibm_posix};
    128 
    129 #define _LIB_VERSION_TYPE enum fdversion
    130 #define _LIB_VERSION _fdlib_version
    131 
    132 /* if global variable _LIB_VERSION is not desirable, one may
    133  * change the following to be a constant by:
    134  *	#define _LIB_VERSION_TYPE const enum version
    135  * In that case, after one initializes the value _LIB_VERSION (see
    136  * s_lib_version.c) during compile time, it cannot be modified
    137  * in the middle of a program
    138  */
    139 extern  _LIB_VERSION_TYPE  _LIB_VERSION;
    140 
    141 #define _IEEE_  fdlibm_ieee
    142 #define _SVID_  fdlibm_svid
    143 #define _XOPEN_ fdlibm_xopen
    144 #define _POSIX_ fdlibm_posix
    145 
    146 #ifndef __cplusplus
    147 struct exception {
    148 	int type;
    149 	char *name;
    150 	double arg1;
    151 	double arg2;
    152 	double retval;
    153 };
    154 #endif
    155 
    156 #define	HUGE		MAXFLOAT
    157 
    158 /*
    159  * set X_TLOSS = pi*2**52, which is possibly defined in <values.h>
    160  * (one may replace the following line by "#include <values.h>")
    161  */
    162 
    163 #define X_TLOSS		1.41484755040568800000e+16
    164 
    165 #define	DOMAIN		1
    166 #define	SING		2
    167 #define	OVERFLOW	3
    168 #define	UNDERFLOW	4
    169 #define	TLOSS		5
    170 #define	PLOSS		6
    171 
    172 #endif /* _NETBSD_SOURCE */
    173 
    174 __BEGIN_DECLS
    175 /*
    176  * ANSI/POSIX
    177  */
    178 double	acos __P((double));
    179 double	asin __P((double));
    180 double	atan __P((double));
    181 double	atan2 __P((double, double));
    182 double	cos __P((double));
    183 double	sin __P((double));
    184 double	tan __P((double));
    185 
    186 double	cosh __P((double));
    187 double	sinh __P((double));
    188 double	tanh __P((double));
    189 
    190 double	exp __P((double));
    191 double	frexp __P((double, int *));
    192 double	ldexp __P((double, int));
    193 double	log __P((double));
    194 double	log10 __P((double));
    195 double	modf __P((double, double *));
    196 
    197 double	pow __P((double, double));
    198 double	sqrt __P((double));
    199 
    200 double	ceil __P((double));
    201 double	fabs __P((double));
    202 double	floor __P((double));
    203 double	fmod __P((double, double));
    204 
    205 #if defined(_XOPEN_SOURCE) || defined(_NETBSD_SOURCE)
    206 double	erf __P((double));
    207 double	erfc __P((double));
    208 double	gamma __P((double));
    209 double	hypot __P((double, double));
    210 int	isnan __P((double));
    211 #if defined(_LIBC)
    212 int	isnanl __P((long double));
    213 #endif
    214 int	finite __P((double));
    215 double	j0 __P((double));
    216 double	j1 __P((double));
    217 double	jn __P((int, double));
    218 double	lgamma __P((double));
    219 double	y0 __P((double));
    220 double	y1 __P((double));
    221 double	yn __P((int, double));
    222 
    223 #if (_XOPEN_SOURCE - 0) >= 500 || defined(_NETBSD_SOURCE)
    224 double	acosh __P((double));
    225 double	asinh __P((double));
    226 double	atanh __P((double));
    227 double	cbrt __P((double));
    228 double	expm1 __P((double));
    229 int	ilogb __P((double));
    230 double	log1p __P((double));
    231 double	logb __P((double));
    232 double	nextafter __P((double, double));
    233 double	remainder __P((double, double));
    234 double	rint __P((double));
    235 double	scalb __P((double, double));
    236 #endif /* (_XOPEN_SOURCE - 0) >= 500 || defined(_NETBSD_SOURCE)*/
    237 #endif /* _XOPEN_SOURCE || _NETBSD_SOURCE */
    238 
    239 /*
    240  * ISO C99
    241  */
    242 #if !defined(_ANSI_SOURCE) && !defined(_POSIX_C_SOURCE) && \
    243     !defined(_XOPEN_SOURCE) || \
    244     ((__STDC_VERSION__ - 0) >= 199901L) || \
    245     ((_POSIX_C_SOURCE - 0) >= 200112L) || \
    246     ((_XOPEN_SOURCE  - 0) >= 600) || \
    247     defined(_ISOC99_SOURCE) || defined(_NETBSD_SOURCE)
    248 /* 7.12.3.1 int fpclassify(real-floating x) */
    249 #define	fpclassify(__x)	__fpmacro_unary_floating(fpclassify, __x)
    250 
    251 /* 7.12.3.2 int isfinite(real-floating x) */
    252 #define	isfinite(__x)	__fpmacro_unary_floating(isfinite, __x)
    253 
    254 /* 7.12.3.5 int isnormal(real-floating x) */
    255 #define	isnormal(__x)	(fpclassify(__x) == FP_NORMAL)
    256 
    257 /* 7.12.3.6 int signbit(real-floating x) */
    258 #define	signbit(__x)	__fpmacro_unary_floating(signbit, __x)
    259 
    260 #endif /* !_ANSI_SOURCE && ... */
    261 
    262 #if defined(_NETBSD_SOURCE)
    263 #ifndef __cplusplus
    264 int	matherr __P((struct exception *));
    265 #endif
    266 
    267 /*
    268  * IEEE Test Vector
    269  */
    270 double	significand __P((double));
    271 
    272 /*
    273  * Functions callable from C, intended to support IEEE arithmetic.
    274  */
    275 double	copysign __P((double, double));
    276 double	scalbn __P((double, int));
    277 
    278 /*
    279  * BSD math library entry points
    280  */
    281 #ifndef __MATH_PRIVATE__
    282 double	cabs __P((/* struct complex { double r; double i; } */));
    283 #endif
    284 double	drem __P((double, double));
    285 
    286 #endif /* _NETBSD_SOURCE */
    287 
    288 #if defined(_NETBSD_SOURCE) || defined(_REENTRANT)
    289 /*
    290  * Reentrant version of gamma & lgamma; passes signgam back by reference
    291  * as the second argument; user must allocate space for signgam.
    292  */
    293 double	gamma_r __P((double, int *));
    294 double	lgamma_r __P((double, int *));
    295 #endif /* _NETBSD_SOURCE || _REENTRANT */
    296 
    297 
    298 #if defined(_NETBSD_SOURCE)
    299 int	isinf __P((double));
    300 #if defined(_LIBC)
    301 int	isinfl __P((long double));
    302 #endif
    303 
    304 /* float versions of ANSI/POSIX functions */
    305 float	acosf __P((float));
    306 float	asinf __P((float));
    307 float	atanf __P((float));
    308 float	atan2f __P((float, float));
    309 float	cosf __P((float));
    310 float	sinf __P((float));
    311 float	tanf __P((float));
    312 
    313 float	coshf __P((float));
    314 float	sinhf __P((float));
    315 float	tanhf __P((float));
    316 
    317 float	expf __P((float));
    318 float	frexpf __P((float, int *));
    319 float	ldexpf __P((float, int));
    320 float	logf __P((float));
    321 float	log10f __P((float));
    322 float	modff __P((float, float *));
    323 
    324 float	powf __P((float, float));
    325 float	sqrtf __P((float));
    326 
    327 float	ceilf __P((float));
    328 float	fabsf __P((float));
    329 float	floorf __P((float));
    330 float	fmodf __P((float, float));
    331 
    332 float	erff __P((float));
    333 float	erfcf __P((float));
    334 float	gammaf __P((float));
    335 float	hypotf __P((float, float));
    336 int	isinff __P((float));
    337 int	isnanf __P((float));
    338 int	finitef __P((float));
    339 float	j0f __P((float));
    340 float	j1f __P((float));
    341 float	jnf __P((int, float));
    342 float	lgammaf __P((float));
    343 float	y0f __P((float));
    344 float	y1f __P((float));
    345 float	ynf __P((int, float));
    346 
    347 float	acoshf __P((float));
    348 float	asinhf __P((float));
    349 float	atanhf __P((float));
    350 float	cbrtf __P((float));
    351 float	logbf __P((float));
    352 float	nextafterf __P((float, float));
    353 float	remainderf __P((float, float));
    354 float	scalbf __P((float, float));
    355 
    356 /*
    357  * float version of IEEE Test Vector
    358  */
    359 float	significandf __P((float));
    360 
    361 /*
    362  * Float versions of functions callable from C, intended to support
    363  * IEEE arithmetic.
    364  */
    365 float	copysignf __P((float, float));
    366 int	ilogbf __P((float));
    367 float	rintf __P((float));
    368 float	scalbnf __P((float, int));
    369 
    370 /*
    371  * float versions of BSD math library entry points
    372  */
    373 #ifndef __MATH_PRIVATE__
    374 float	cabsf __P((/* struct complex { float r; float i; } */));
    375 #endif
    376 float	dremf __P((float, float));
    377 float	expm1f __P((float));
    378 float	log1pf __P((float));
    379 #endif /* _NETBSD_SOURCE */
    380 
    381 #if defined(_NETBSD_SOURCE) || defined(_REENTRANT)
    382 /*
    383  * Float versions of reentrant version of gamma & lgamma; passes
    384  * signgam back by reference as the second argument; user must
    385  * allocate space for signgam.
    386  */
    387 float	gammaf_r __P((float, int *));
    388 float	lgammaf_r __P((float, int *));
    389 #endif /* !... || _REENTRANT */
    390 
    391 /*
    392  * Library implementation
    393  */
    394 int	__fpclassifyf __P((float));
    395 int	__fpclassifyd __P((double));
    396 int	__isfinitef __P((float));
    397 int	__isfinited __P((double));
    398 int	__signbitf __P((float));
    399 int	__signbitd __P((double));
    400 
    401 #ifdef __HAVE_LONG_DOUBLE
    402 int	__fpclassifyl __P((long double));
    403 int	__isfinitel __P((long double));
    404 int	__signbitl __P((long double));
    405 #endif
    406 __END_DECLS
    407 
    408 #endif /* _MATH_H_ */
    409