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math.h revision 1.27
      1  1.27    kleink /*	$NetBSD: math.h,v 1.27 2003/10/25 22:35:46 kleink Exp $	*/
      2  1.10       cgd 
      3   1.1       cgd /*
      4   1.6       jtc  * ====================================================
      5   1.6       jtc  * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
      6   1.1       cgd  *
      7   1.6       jtc  * Developed at SunPro, a Sun Microsystems, Inc. business.
      8   1.6       jtc  * Permission to use, copy, modify, and distribute this
      9   1.6       jtc  * software is freely granted, provided that this notice
     10   1.6       jtc  * is preserved.
     11   1.6       jtc  * ====================================================
     12   1.1       cgd  */
     13   1.1       cgd 
     14   1.6       jtc /*
     15  1.10       cgd  * @(#)fdlibm.h 5.1 93/09/24
     16   1.6       jtc  */
     17   1.1       cgd 
     18   1.6       jtc #ifndef _MATH_H_
     19   1.7       cgd #define _MATH_H_
     20   1.1       cgd 
     21  1.21    kleink #include <sys/cdefs.h>
     22  1.12    kleink #include <sys/featuretest.h>
     23  1.24    simonb 
     24  1.24    simonb union __float_u {
     25  1.24    simonb 	unsigned char __dummy[sizeof(float)];
     26  1.24    simonb 	float __val;
     27  1.24    simonb };
     28  1.24    simonb 
     29  1.24    simonb union __double_u {
     30  1.24    simonb 	unsigned char __dummy[sizeof(double)];
     31  1.24    simonb 	double __val;
     32  1.24    simonb };
     33  1.24    simonb 
     34  1.26   thorpej union __long_double_u {
     35  1.26   thorpej 	unsigned char __dummy[sizeof(long double)];
     36  1.26   thorpej 	long double __val;
     37  1.26   thorpej };
     38  1.26   thorpej 
     39  1.26   thorpej #include <machine/math.h>		/* may use __float_u, __double_u,
     40  1.26   thorpej 					   or __long_double_u */
     41  1.12    kleink 
     42   1.1       cgd /*
     43   1.6       jtc  * ANSI/POSIX
     44   1.6       jtc  */
     45  1.24    simonb extern __const union __double_u __infinity;
     46  1.24    simonb #define HUGE_VAL	__infinity.__val
     47  1.24    simonb 
     48  1.24    simonb /*
     49  1.24    simonb  * ISO C99
     50  1.24    simonb  */
     51  1.27    kleink #if !defined(_ANSI_SOURCE) && !defined(_POSIX_C_SOURCE) && \
     52  1.27    kleink     !defined(_XOPEN_SOURCE) || \
     53  1.27    kleink     ((__STDC_VERSION__ - 0) >= 199901L) || \
     54  1.27    kleink     ((_POSIX_C_SOURCE - 0) >= 200112L) || \
     55  1.27    kleink     ((_XOPEN_SOURCE  - 0) >= 600) || \
     56  1.27    kleink     defined(_ISOC99_SOURCE) || defined(_NETBSD_SOURCE)
     57  1.27    kleink extern __const union __float_u __infinityf;
     58  1.27    kleink #define	HUGE_VALF	__infinityf.__val
     59  1.27    kleink 
     60  1.27    kleink extern __const union __long_double_u __infinityl;
     61  1.27    kleink #define	HUGE_VALL	__infinityl.__val
     62  1.27    kleink 
     63  1.27    kleink #ifdef __HAVE_NANF
     64  1.24    simonb extern __const union __float_u __nanf;
     65  1.24    simonb #define	NAN		__nanf.__val
     66  1.27    kleink #endif /* __HAVE_NANF */
     67  1.27    kleink #endif /* !_ANSI_SOURCE && ... */
     68   1.1       cgd 
     69   1.6       jtc /*
     70   1.6       jtc  * XOPEN/SVID
     71   1.6       jtc  */
     72  1.25     bjh21 #if defined(_XOPEN_SOURCE) || defined(_NETBSD_SOURCE)
     73   1.1       cgd #define	M_E		2.7182818284590452354	/* e */
     74   1.1       cgd #define	M_LOG2E		1.4426950408889634074	/* log 2e */
     75   1.1       cgd #define	M_LOG10E	0.43429448190325182765	/* log 10e */
     76   1.1       cgd #define	M_LN2		0.69314718055994530942	/* log e2 */
     77   1.1       cgd #define	M_LN10		2.30258509299404568402	/* log e10 */
     78   1.1       cgd #define	M_PI		3.14159265358979323846	/* pi */
     79   1.1       cgd #define	M_PI_2		1.57079632679489661923	/* pi/2 */
     80   1.1       cgd #define	M_PI_4		0.78539816339744830962	/* pi/4 */
     81   1.1       cgd #define	M_1_PI		0.31830988618379067154	/* 1/pi */
     82   1.1       cgd #define	M_2_PI		0.63661977236758134308	/* 2/pi */
     83   1.1       cgd #define	M_2_SQRTPI	1.12837916709551257390	/* 2/sqrt(pi) */
     84   1.1       cgd #define	M_SQRT2		1.41421356237309504880	/* sqrt(2) */
     85   1.1       cgd #define	M_SQRT1_2	0.70710678118654752440	/* 1/sqrt(2) */
     86   1.6       jtc 
     87   1.6       jtc #define	MAXFLOAT	((float)3.40282346638528860e+38)
     88   1.6       jtc extern int signgam;
     89  1.25     bjh21 #endif /* _XOPEN_SOURCE || _NETBSD_SOURCE */
     90   1.6       jtc 
     91  1.25     bjh21 #if defined(_NETBSD_SOURCE)
     92   1.6       jtc enum fdversion {fdlibm_ieee = -1, fdlibm_svid, fdlibm_xopen, fdlibm_posix};
     93   1.6       jtc 
     94   1.6       jtc #define _LIB_VERSION_TYPE enum fdversion
     95   1.6       jtc #define _LIB_VERSION _fdlib_version
     96   1.6       jtc 
     97   1.6       jtc /* if global variable _LIB_VERSION is not desirable, one may
     98   1.6       jtc  * change the following to be a constant by:
     99   1.6       jtc  *	#define _LIB_VERSION_TYPE const enum version
    100   1.6       jtc  * In that case, after one initializes the value _LIB_VERSION (see
    101   1.6       jtc  * s_lib_version.c) during compile time, it cannot be modified
    102   1.6       jtc  * in the middle of a program
    103   1.6       jtc  */
    104   1.6       jtc extern  _LIB_VERSION_TYPE  _LIB_VERSION;
    105   1.6       jtc 
    106   1.6       jtc #define _IEEE_  fdlibm_ieee
    107   1.6       jtc #define _SVID_  fdlibm_svid
    108   1.6       jtc #define _XOPEN_ fdlibm_xopen
    109   1.6       jtc #define _POSIX_ fdlibm_posix
    110   1.6       jtc 
    111  1.11        tv #ifndef __cplusplus
    112   1.6       jtc struct exception {
    113   1.6       jtc 	int type;
    114   1.6       jtc 	char *name;
    115   1.6       jtc 	double arg1;
    116   1.6       jtc 	double arg2;
    117   1.6       jtc 	double retval;
    118   1.6       jtc };
    119  1.11        tv #endif
    120   1.6       jtc 
    121   1.6       jtc #define	HUGE		MAXFLOAT
    122   1.6       jtc 
    123   1.6       jtc /*
    124   1.6       jtc  * set X_TLOSS = pi*2**52, which is possibly defined in <values.h>
    125   1.6       jtc  * (one may replace the following line by "#include <values.h>")
    126   1.6       jtc  */
    127   1.6       jtc 
    128   1.6       jtc #define X_TLOSS		1.41484755040568800000e+16
    129   1.6       jtc 
    130   1.6       jtc #define	DOMAIN		1
    131   1.6       jtc #define	SING		2
    132   1.6       jtc #define	OVERFLOW	3
    133   1.6       jtc #define	UNDERFLOW	4
    134   1.6       jtc #define	TLOSS		5
    135   1.6       jtc #define	PLOSS		6
    136   1.6       jtc 
    137  1.25     bjh21 #endif /* _NETBSD_SOURCE */
    138   1.6       jtc 
    139   1.1       cgd __BEGIN_DECLS
    140   1.6       jtc /*
    141   1.6       jtc  * ANSI/POSIX
    142   1.6       jtc  */
    143  1.22    simonb double	acos __P((double));
    144  1.22    simonb double	asin __P((double));
    145  1.22    simonb double	atan __P((double));
    146  1.22    simonb double	atan2 __P((double, double));
    147  1.22    simonb double	cos __P((double));
    148  1.22    simonb double	sin __P((double));
    149  1.22    simonb double	tan __P((double));
    150  1.22    simonb 
    151  1.22    simonb double	cosh __P((double));
    152  1.22    simonb double	sinh __P((double));
    153  1.22    simonb double	tanh __P((double));
    154  1.22    simonb 
    155  1.22    simonb double	exp __P((double));
    156  1.22    simonb double	frexp __P((double, int *));
    157  1.22    simonb double	ldexp __P((double, int));
    158  1.22    simonb double	log __P((double));
    159  1.22    simonb double	log10 __P((double));
    160  1.22    simonb double	modf __P((double, double *));
    161  1.22    simonb 
    162  1.22    simonb double	pow __P((double, double));
    163  1.22    simonb double	sqrt __P((double));
    164  1.22    simonb 
    165  1.22    simonb double	ceil __P((double));
    166  1.22    simonb double	fabs __P((double));
    167  1.22    simonb double	floor __P((double));
    168  1.22    simonb double	fmod __P((double, double));
    169   1.1       cgd 
    170  1.25     bjh21 #if defined(_XOPEN_SOURCE) || defined(_NETBSD_SOURCE)
    171  1.22    simonb double	erf __P((double));
    172  1.22    simonb double	erfc __P((double));
    173  1.22    simonb double	gamma __P((double));
    174  1.22    simonb double	hypot __P((double, double));
    175  1.22    simonb int	isnan __P((double));
    176  1.26   thorpej #if defined(_LIBC)
    177  1.26   thorpej int	isnanl __P((long double));
    178  1.26   thorpej #endif
    179  1.22    simonb int	finite __P((double));
    180  1.22    simonb double	j0 __P((double));
    181  1.22    simonb double	j1 __P((double));
    182  1.22    simonb double	jn __P((int, double));
    183  1.22    simonb double	lgamma __P((double));
    184  1.22    simonb double	y0 __P((double));
    185  1.22    simonb double	y1 __P((double));
    186  1.22    simonb double	yn __P((int, double));
    187   1.6       jtc 
    188  1.25     bjh21 #if (_XOPEN_SOURCE - 0) >= 500 || defined(_NETBSD_SOURCE)
    189  1.22    simonb double	acosh __P((double));
    190  1.22    simonb double	asinh __P((double));
    191  1.22    simonb double	atanh __P((double));
    192  1.22    simonb double	cbrt __P((double));
    193  1.22    simonb double	expm1 __P((double));
    194  1.22    simonb int	ilogb __P((double));
    195  1.22    simonb double	log1p __P((double));
    196  1.22    simonb double	logb __P((double));
    197  1.22    simonb double	nextafter __P((double, double));
    198  1.22    simonb double	remainder __P((double, double));
    199  1.22    simonb double	rint __P((double));
    200  1.22    simonb double	scalb __P((double, double));
    201  1.25     bjh21 #endif /* (_XOPEN_SOURCE - 0) >= 500 || defined(_NETBSD_SOURCE)*/
    202  1.25     bjh21 #endif /* _XOPEN_SOURCE || _NETBSD_SOURCE */
    203   1.6       jtc 
    204  1.25     bjh21 #if defined(_NETBSD_SOURCE)
    205  1.11        tv #ifndef __cplusplus
    206  1.22    simonb int	matherr __P((struct exception *));
    207  1.11        tv #endif
    208   1.6       jtc 
    209   1.6       jtc /*
    210   1.6       jtc  * IEEE Test Vector
    211   1.6       jtc  */
    212  1.22    simonb double	significand __P((double));
    213   1.1       cgd 
    214   1.6       jtc /*
    215   1.6       jtc  * Functions callable from C, intended to support IEEE arithmetic.
    216   1.6       jtc  */
    217  1.22    simonb double	copysign __P((double, double));
    218  1.22    simonb double	scalbn __P((double, int));
    219   1.6       jtc 
    220   1.6       jtc /*
    221   1.6       jtc  * BSD math library entry points
    222   1.6       jtc  */
    223  1.23  christos #ifndef __MATH_PRIVATE__
    224  1.22    simonb double	cabs __P((/* struct complex { double r; double i; } */));
    225  1.23  christos #endif
    226  1.22    simonb double	drem __P((double, double));
    227   1.6       jtc 
    228  1.25     bjh21 #endif /* _NETBSD_SOURCE */
    229  1.12    kleink 
    230  1.25     bjh21 #if defined(_NETBSD_SOURCE) || defined(_REENTRANT)
    231   1.6       jtc /*
    232   1.6       jtc  * Reentrant version of gamma & lgamma; passes signgam back by reference
    233   1.6       jtc  * as the second argument; user must allocate space for signgam.
    234   1.6       jtc  */
    235  1.22    simonb double	gamma_r __P((double, int *));
    236  1.22    simonb double	lgamma_r __P((double, int *));
    237  1.25     bjh21 #endif /* _NETBSD_SOURCE || _REENTRANT */
    238   1.9       jtc 
    239   1.9       jtc 
    240  1.25     bjh21 #if defined(_NETBSD_SOURCE)
    241  1.22    simonb int	isinf __P((double));
    242  1.26   thorpej #if defined(_LIBC)
    243  1.26   thorpej int	isinfl __P((long double));
    244  1.26   thorpej #endif
    245  1.15    kleink 
    246   1.9       jtc /* float versions of ANSI/POSIX functions */
    247  1.22    simonb float	acosf __P((float));
    248  1.22    simonb float	asinf __P((float));
    249  1.22    simonb float	atanf __P((float));
    250  1.22    simonb float	atan2f __P((float, float));
    251  1.22    simonb float	cosf __P((float));
    252  1.22    simonb float	sinf __P((float));
    253  1.22    simonb float	tanf __P((float));
    254  1.22    simonb 
    255  1.22    simonb float	coshf __P((float));
    256  1.22    simonb float	sinhf __P((float));
    257  1.22    simonb float	tanhf __P((float));
    258  1.22    simonb 
    259  1.22    simonb float	expf __P((float));
    260  1.22    simonb float	frexpf __P((float, int *));
    261  1.22    simonb float	ldexpf __P((float, int));
    262  1.22    simonb float	logf __P((float));
    263  1.22    simonb float	log10f __P((float));
    264  1.22    simonb float	modff __P((float, float *));
    265  1.22    simonb 
    266  1.22    simonb float	powf __P((float, float));
    267  1.22    simonb float	sqrtf __P((float));
    268  1.22    simonb 
    269  1.22    simonb float	ceilf __P((float));
    270  1.22    simonb float	fabsf __P((float));
    271  1.22    simonb float	floorf __P((float));
    272  1.22    simonb float	fmodf __P((float, float));
    273  1.22    simonb 
    274  1.22    simonb float	erff __P((float));
    275  1.22    simonb float	erfcf __P((float));
    276  1.22    simonb float	gammaf __P((float));
    277  1.22    simonb float	hypotf __P((float, float));
    278  1.22    simonb int	isinff __P((float));
    279  1.22    simonb int	isnanf __P((float));
    280  1.22    simonb int	finitef __P((float));
    281  1.22    simonb float	j0f __P((float));
    282  1.22    simonb float	j1f __P((float));
    283  1.22    simonb float	jnf __P((int, float));
    284  1.22    simonb float	lgammaf __P((float));
    285  1.22    simonb float	y0f __P((float));
    286  1.22    simonb float	y1f __P((float));
    287  1.22    simonb float	ynf __P((int, float));
    288  1.22    simonb 
    289  1.22    simonb float	acoshf __P((float));
    290  1.22    simonb float	asinhf __P((float));
    291  1.22    simonb float	atanhf __P((float));
    292  1.22    simonb float	cbrtf __P((float));
    293  1.22    simonb float	logbf __P((float));
    294  1.22    simonb float	nextafterf __P((float, float));
    295  1.22    simonb float	remainderf __P((float, float));
    296  1.22    simonb float	scalbf __P((float, float));
    297   1.9       jtc 
    298   1.9       jtc /*
    299   1.9       jtc  * float version of IEEE Test Vector
    300   1.9       jtc  */
    301  1.22    simonb float	significandf __P((float));
    302   1.9       jtc 
    303   1.9       jtc /*
    304   1.9       jtc  * Float versions of functions callable from C, intended to support
    305   1.9       jtc  * IEEE arithmetic.
    306   1.9       jtc  */
    307  1.22    simonb float	copysignf __P((float, float));
    308  1.22    simonb int	ilogbf __P((float));
    309  1.22    simonb float	rintf __P((float));
    310  1.22    simonb float	scalbnf __P((float, int));
    311   1.9       jtc 
    312   1.9       jtc /*
    313   1.9       jtc  * float versions of BSD math library entry points
    314   1.9       jtc  */
    315  1.23  christos #ifndef __MATH_PRIVATE__
    316  1.22    simonb float	cabsf __P((/* struct complex { float r; float i; } */));
    317  1.23  christos #endif
    318  1.22    simonb float	dremf __P((float, float));
    319  1.22    simonb float	expm1f __P((float));
    320  1.22    simonb float	log1pf __P((float));
    321  1.25     bjh21 #endif /* _NETBSD_SOURCE */
    322   1.9       jtc 
    323  1.25     bjh21 #if defined(_NETBSD_SOURCE) || defined(_REENTRANT)
    324   1.9       jtc /*
    325   1.9       jtc  * Float versions of reentrant version of gamma & lgamma; passes
    326   1.9       jtc  * signgam back by reference as the second argument; user must
    327   1.9       jtc  * allocate space for signgam.
    328   1.9       jtc  */
    329  1.22    simonb float	gammaf_r __P((float, int *));
    330  1.22    simonb float	lgammaf_r __P((float, int *));
    331  1.12    kleink #endif /* !... || _REENTRANT */
    332   1.9       jtc 
    333   1.1       cgd __END_DECLS
    334   1.1       cgd 
    335   1.1       cgd #endif /* _MATH_H_ */
    336