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math.h revision 1.23.2.2
      1  1.23.2.2   nathanw /*	$NetBSD: math.h,v 1.23.2.2 2002/03/22 21:10:10 nathanw 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  1.23.2.1   nathanw 
     24  1.23.2.1   nathanw union __float_u {
     25  1.23.2.1   nathanw 	unsigned char __dummy[sizeof(float)];
     26  1.23.2.1   nathanw 	float __val;
     27  1.23.2.1   nathanw };
     28  1.23.2.1   nathanw 
     29  1.23.2.1   nathanw union __double_u {
     30  1.23.2.1   nathanw 	unsigned char __dummy[sizeof(double)];
     31  1.23.2.1   nathanw 	double __val;
     32  1.23.2.1   nathanw };
     33  1.23.2.1   nathanw 
     34  1.23.2.1   nathanw #include <machine/math.h>		/* may use __float_u or __double_u */
     35      1.12    kleink 
     36       1.1       cgd /*
     37       1.6       jtc  * ANSI/POSIX
     38       1.6       jtc  */
     39  1.23.2.1   nathanw extern __const union __double_u __infinity;
     40  1.23.2.1   nathanw #define HUGE_VAL	__infinity.__val
     41  1.23.2.1   nathanw 
     42  1.23.2.1   nathanw /*
     43  1.23.2.1   nathanw  * ISO C99
     44  1.23.2.1   nathanw  */
     45  1.23.2.1   nathanw #if defined(__HAVE_NANF) && \
     46  1.23.2.1   nathanw     (!defined(_ANSI_SOURCE) && \
     47  1.23.2.1   nathanw     (!defined(_POSIX_C_SOURCE) && !defined(_XOPEN_SOURCE) || \
     48  1.23.2.1   nathanw      defined(_ISOC99_SOURCE) || (__STDC_VERSION__ - 0) >= 199901L))
     49  1.23.2.1   nathanw extern __const union __float_u __nanf;
     50  1.23.2.1   nathanw #define	NAN		__nanf.__val
     51  1.23.2.1   nathanw #endif /* __HAVE_NANF && (!_ANSI_SOURCE && ....) */
     52       1.1       cgd 
     53       1.6       jtc /*
     54       1.6       jtc  * XOPEN/SVID
     55       1.6       jtc  */
     56      1.12    kleink #if !defined(_ANSI_SOURCE) && !defined(_POSIX_C_SOURCE) || \
     57      1.12    kleink     defined(_XOPEN_SOURCE)
     58       1.1       cgd #define	M_E		2.7182818284590452354	/* e */
     59       1.1       cgd #define	M_LOG2E		1.4426950408889634074	/* log 2e */
     60       1.1       cgd #define	M_LOG10E	0.43429448190325182765	/* log 10e */
     61       1.1       cgd #define	M_LN2		0.69314718055994530942	/* log e2 */
     62       1.1       cgd #define	M_LN10		2.30258509299404568402	/* log e10 */
     63       1.1       cgd #define	M_PI		3.14159265358979323846	/* pi */
     64       1.1       cgd #define	M_PI_2		1.57079632679489661923	/* pi/2 */
     65       1.1       cgd #define	M_PI_4		0.78539816339744830962	/* pi/4 */
     66       1.1       cgd #define	M_1_PI		0.31830988618379067154	/* 1/pi */
     67       1.1       cgd #define	M_2_PI		0.63661977236758134308	/* 2/pi */
     68       1.1       cgd #define	M_2_SQRTPI	1.12837916709551257390	/* 2/sqrt(pi) */
     69       1.1       cgd #define	M_SQRT2		1.41421356237309504880	/* sqrt(2) */
     70       1.1       cgd #define	M_SQRT1_2	0.70710678118654752440	/* 1/sqrt(2) */
     71       1.6       jtc 
     72       1.6       jtc #define	MAXFLOAT	((float)3.40282346638528860e+38)
     73       1.6       jtc extern int signgam;
     74      1.12    kleink #endif /* !_ANSI_SOURCE && !_POSIX_C_SOURCE || _XOPEN_SOURCE */
     75       1.6       jtc 
     76      1.12    kleink #if !defined(_ANSI_SOURCE) && !defined(_POSIX_C_SOURCE) && \
     77      1.12    kleink     !defined(_XOPEN_SOURCE)
     78       1.6       jtc enum fdversion {fdlibm_ieee = -1, fdlibm_svid, fdlibm_xopen, fdlibm_posix};
     79       1.6       jtc 
     80       1.6       jtc #define _LIB_VERSION_TYPE enum fdversion
     81       1.6       jtc #define _LIB_VERSION _fdlib_version
     82       1.6       jtc 
     83       1.6       jtc /* if global variable _LIB_VERSION is not desirable, one may
     84       1.6       jtc  * change the following to be a constant by:
     85       1.6       jtc  *	#define _LIB_VERSION_TYPE const enum version
     86       1.6       jtc  * In that case, after one initializes the value _LIB_VERSION (see
     87       1.6       jtc  * s_lib_version.c) during compile time, it cannot be modified
     88       1.6       jtc  * in the middle of a program
     89       1.6       jtc  */
     90       1.6       jtc extern  _LIB_VERSION_TYPE  _LIB_VERSION;
     91       1.6       jtc 
     92       1.6       jtc #define _IEEE_  fdlibm_ieee
     93       1.6       jtc #define _SVID_  fdlibm_svid
     94       1.6       jtc #define _XOPEN_ fdlibm_xopen
     95       1.6       jtc #define _POSIX_ fdlibm_posix
     96       1.6       jtc 
     97      1.11        tv #ifndef __cplusplus
     98       1.6       jtc struct exception {
     99       1.6       jtc 	int type;
    100       1.6       jtc 	char *name;
    101       1.6       jtc 	double arg1;
    102       1.6       jtc 	double arg2;
    103       1.6       jtc 	double retval;
    104       1.6       jtc };
    105      1.11        tv #endif
    106       1.6       jtc 
    107       1.6       jtc #define	HUGE		MAXFLOAT
    108       1.6       jtc 
    109       1.6       jtc /*
    110       1.6       jtc  * set X_TLOSS = pi*2**52, which is possibly defined in <values.h>
    111       1.6       jtc  * (one may replace the following line by "#include <values.h>")
    112       1.6       jtc  */
    113       1.6       jtc 
    114       1.6       jtc #define X_TLOSS		1.41484755040568800000e+16
    115       1.6       jtc 
    116       1.6       jtc #define	DOMAIN		1
    117       1.6       jtc #define	SING		2
    118       1.6       jtc #define	OVERFLOW	3
    119       1.6       jtc #define	UNDERFLOW	4
    120       1.6       jtc #define	TLOSS		5
    121       1.6       jtc #define	PLOSS		6
    122       1.6       jtc 
    123      1.12    kleink #endif /* !_ANSI_SOURCE && !_POSIX_C_SOURCE && !_XOPEN_SOURCE */
    124       1.6       jtc 
    125       1.1       cgd __BEGIN_DECLS
    126       1.6       jtc /*
    127       1.6       jtc  * ANSI/POSIX
    128       1.6       jtc  */
    129      1.22    simonb double	acos __P((double));
    130      1.22    simonb double	asin __P((double));
    131      1.22    simonb double	atan __P((double));
    132      1.22    simonb double	atan2 __P((double, double));
    133      1.22    simonb double	cos __P((double));
    134      1.22    simonb double	sin __P((double));
    135      1.22    simonb double	tan __P((double));
    136      1.22    simonb 
    137      1.22    simonb double	cosh __P((double));
    138      1.22    simonb double	sinh __P((double));
    139      1.22    simonb double	tanh __P((double));
    140      1.22    simonb 
    141      1.22    simonb double	exp __P((double));
    142      1.22    simonb double	frexp __P((double, int *));
    143      1.22    simonb double	ldexp __P((double, int));
    144      1.22    simonb double	log __P((double));
    145      1.22    simonb double	log10 __P((double));
    146      1.22    simonb double	modf __P((double, double *));
    147      1.22    simonb 
    148      1.22    simonb double	pow __P((double, double));
    149      1.22    simonb double	sqrt __P((double));
    150      1.22    simonb 
    151      1.22    simonb double	ceil __P((double));
    152      1.22    simonb double	fabs __P((double));
    153      1.22    simonb double	floor __P((double));
    154      1.22    simonb double	fmod __P((double, double));
    155       1.1       cgd 
    156      1.12    kleink #if !defined(_ANSI_SOURCE) && !defined(_POSIX_C_SOURCE) || \
    157      1.12    kleink     defined(_XOPEN_SOURCE)
    158      1.22    simonb double	erf __P((double));
    159      1.22    simonb double	erfc __P((double));
    160      1.22    simonb double	gamma __P((double));
    161      1.22    simonb double	hypot __P((double, double));
    162      1.22    simonb int	isnan __P((double));
    163      1.22    simonb int	finite __P((double));
    164      1.22    simonb double	j0 __P((double));
    165      1.22    simonb double	j1 __P((double));
    166      1.22    simonb double	jn __P((int, double));
    167      1.22    simonb double	lgamma __P((double));
    168      1.22    simonb double	y0 __P((double));
    169      1.22    simonb double	y1 __P((double));
    170      1.22    simonb double	yn __P((int, double));
    171       1.6       jtc 
    172      1.12    kleink #if !defined(_XOPEN_SOURCE) || (_XOPEN_SOURCE - 0) >= 500
    173      1.22    simonb double	acosh __P((double));
    174      1.22    simonb double	asinh __P((double));
    175      1.22    simonb double	atanh __P((double));
    176      1.22    simonb double	cbrt __P((double));
    177      1.22    simonb double	expm1 __P((double));
    178      1.22    simonb int	ilogb __P((double));
    179      1.22    simonb double	log1p __P((double));
    180      1.22    simonb double	logb __P((double));
    181      1.22    simonb double	nextafter __P((double, double));
    182      1.22    simonb double	remainder __P((double, double));
    183      1.22    simonb double	rint __P((double));
    184      1.22    simonb double	scalb __P((double, double));
    185      1.13    kleink #endif /* !defined(_XOPEN_SOURCE) || (_XOPEN_SOURCE - 0) >= 500 */
    186      1.12    kleink #endif /* !_ANSI_SOURCE) && !_POSIX_C_SOURCE || _XOPEN_SOURCE */
    187       1.6       jtc 
    188      1.12    kleink #if !defined(_ANSI_SOURCE) && !defined(_POSIX_C_SOURCE) && \
    189      1.12    kleink     !defined(_XOPEN_SOURCE)
    190      1.11        tv #ifndef __cplusplus
    191      1.22    simonb int	matherr __P((struct exception *));
    192      1.11        tv #endif
    193       1.6       jtc 
    194       1.6       jtc /*
    195       1.6       jtc  * IEEE Test Vector
    196       1.6       jtc  */
    197      1.22    simonb double	significand __P((double));
    198       1.1       cgd 
    199       1.6       jtc /*
    200       1.6       jtc  * Functions callable from C, intended to support IEEE arithmetic.
    201       1.6       jtc  */
    202      1.22    simonb double	copysign __P((double, double));
    203      1.22    simonb double	scalbn __P((double, int));
    204       1.6       jtc 
    205       1.6       jtc /*
    206       1.6       jtc  * BSD math library entry points
    207       1.6       jtc  */
    208      1.23  christos #ifndef __MATH_PRIVATE__
    209      1.22    simonb double	cabs __P((/* struct complex { double r; double i; } */));
    210      1.23  christos #endif
    211      1.22    simonb double	drem __P((double, double));
    212       1.6       jtc 
    213      1.12    kleink #endif /* !_ANSI_SOURCE && !_POSIX_C_SOURCE && !_XOPEN_SOURCE */
    214      1.12    kleink 
    215      1.12    kleink #if !defined(_ANSI_SOURCE) && !defined(_POSIX_C_SOURCE) && \
    216      1.12    kleink     !defined(_XOPEN_SOURCE) || defined(_REENTRANT)
    217       1.6       jtc /*
    218       1.6       jtc  * Reentrant version of gamma & lgamma; passes signgam back by reference
    219       1.6       jtc  * as the second argument; user must allocate space for signgam.
    220       1.6       jtc  */
    221      1.22    simonb double	gamma_r __P((double, int *));
    222      1.22    simonb double	lgamma_r __P((double, int *));
    223      1.12    kleink #endif /* !... || _REENTRANT */
    224       1.9       jtc 
    225       1.9       jtc 
    226      1.12    kleink #if !defined(_ANSI_SOURCE) && !defined(_POSIX_C_SOURCE) && \
    227      1.12    kleink     !defined(_XOPEN_SOURCE)
    228      1.22    simonb int	isinf __P((double));
    229      1.15    kleink 
    230       1.9       jtc /* float versions of ANSI/POSIX functions */
    231      1.22    simonb float	acosf __P((float));
    232      1.22    simonb float	asinf __P((float));
    233      1.22    simonb float	atanf __P((float));
    234      1.22    simonb float	atan2f __P((float, float));
    235      1.22    simonb float	cosf __P((float));
    236      1.22    simonb float	sinf __P((float));
    237      1.22    simonb float	tanf __P((float));
    238      1.22    simonb 
    239      1.22    simonb float	coshf __P((float));
    240      1.22    simonb float	sinhf __P((float));
    241      1.22    simonb float	tanhf __P((float));
    242      1.22    simonb 
    243      1.22    simonb float	expf __P((float));
    244      1.22    simonb float	frexpf __P((float, int *));
    245      1.22    simonb float	ldexpf __P((float, int));
    246      1.22    simonb float	logf __P((float));
    247      1.22    simonb float	log10f __P((float));
    248      1.22    simonb float	modff __P((float, float *));
    249      1.22    simonb 
    250      1.22    simonb float	powf __P((float, float));
    251      1.22    simonb float	sqrtf __P((float));
    252      1.22    simonb 
    253      1.22    simonb float	ceilf __P((float));
    254      1.22    simonb float	fabsf __P((float));
    255      1.22    simonb float	floorf __P((float));
    256      1.22    simonb float	fmodf __P((float, float));
    257      1.22    simonb 
    258      1.22    simonb float	erff __P((float));
    259      1.22    simonb float	erfcf __P((float));
    260      1.22    simonb float	gammaf __P((float));
    261      1.22    simonb float	hypotf __P((float, float));
    262      1.22    simonb int	isinff __P((float));
    263      1.22    simonb int	isnanf __P((float));
    264      1.22    simonb int	finitef __P((float));
    265      1.22    simonb float	j0f __P((float));
    266      1.22    simonb float	j1f __P((float));
    267      1.22    simonb float	jnf __P((int, float));
    268      1.22    simonb float	lgammaf __P((float));
    269      1.22    simonb float	y0f __P((float));
    270      1.22    simonb float	y1f __P((float));
    271      1.22    simonb float	ynf __P((int, float));
    272      1.22    simonb 
    273      1.22    simonb float	acoshf __P((float));
    274      1.22    simonb float	asinhf __P((float));
    275      1.22    simonb float	atanhf __P((float));
    276      1.22    simonb float	cbrtf __P((float));
    277      1.22    simonb float	logbf __P((float));
    278      1.22    simonb float	nextafterf __P((float, float));
    279      1.22    simonb float	remainderf __P((float, float));
    280      1.22    simonb float	scalbf __P((float, float));
    281       1.9       jtc 
    282       1.9       jtc /*
    283       1.9       jtc  * float version of IEEE Test Vector
    284       1.9       jtc  */
    285      1.22    simonb float	significandf __P((float));
    286       1.9       jtc 
    287       1.9       jtc /*
    288       1.9       jtc  * Float versions of functions callable from C, intended to support
    289       1.9       jtc  * IEEE arithmetic.
    290       1.9       jtc  */
    291      1.22    simonb float	copysignf __P((float, float));
    292      1.22    simonb int	ilogbf __P((float));
    293      1.22    simonb float	rintf __P((float));
    294      1.22    simonb float	scalbnf __P((float, int));
    295       1.9       jtc 
    296       1.9       jtc /*
    297       1.9       jtc  * float versions of BSD math library entry points
    298       1.9       jtc  */
    299      1.23  christos #ifndef __MATH_PRIVATE__
    300      1.22    simonb float	cabsf __P((/* struct complex { float r; float i; } */));
    301      1.23  christos #endif
    302      1.22    simonb float	dremf __P((float, float));
    303      1.22    simonb float	expm1f __P((float));
    304      1.22    simonb float	log1pf __P((float));
    305      1.12    kleink #endif /* !_ANSI_SOURCE && !_POSIX_C_SOURCE && !_XOPEN_SOURCE */
    306       1.9       jtc 
    307      1.12    kleink #if !defined(_ANSI_SOURCE) && !defined(_POSIX_C_SOURCE) && \
    308      1.12    kleink     !defined(_XOPEN_SOURCE) || defined(_REENTRANT)
    309       1.9       jtc /*
    310       1.9       jtc  * Float versions of reentrant version of gamma & lgamma; passes
    311       1.9       jtc  * signgam back by reference as the second argument; user must
    312       1.9       jtc  * allocate space for signgam.
    313       1.9       jtc  */
    314      1.22    simonb float	gammaf_r __P((float, int *));
    315      1.22    simonb float	lgammaf_r __P((float, int *));
    316      1.12    kleink #endif /* !... || _REENTRANT */
    317       1.9       jtc 
    318       1.1       cgd __END_DECLS
    319       1.1       cgd 
    320       1.1       cgd #endif /* _MATH_H_ */
    321