xref: /freebsd/lib/msun/src/math.h (revision 219cbe1087cd88d72832d6491eb0f49bc51e1779)
13a8617a8SJordan K. Hubbard /*
23a8617a8SJordan K. Hubbard  * ====================================================
33a8617a8SJordan K. Hubbard  * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
43a8617a8SJordan K. Hubbard  *
53a8617a8SJordan K. Hubbard  * Developed at SunPro, a Sun Microsystems, Inc. business.
63a8617a8SJordan K. Hubbard  * Permission to use, copy, modify, and distribute this
73a8617a8SJordan K. Hubbard  * software is freely granted, provided that this notice
83a8617a8SJordan K. Hubbard  * is preserved.
93a8617a8SJordan K. Hubbard  * ====================================================
103a8617a8SJordan K. Hubbard  */
113a8617a8SJordan K. Hubbard 
123a8617a8SJordan K. Hubbard /*
133a8617a8SJordan K. Hubbard  * from: @(#)fdlibm.h 5.1 93/09/24
147f3dea24SPeter Wemm  * $FreeBSD$
153a8617a8SJordan K. Hubbard  */
163a8617a8SJordan K. Hubbard 
173a8617a8SJordan K. Hubbard #ifndef _MATH_H_
183a8617a8SJordan K. Hubbard #define	_MATH_H_
193a8617a8SJordan K. Hubbard 
203a8617a8SJordan K. Hubbard /*
213a8617a8SJordan K. Hubbard  * ANSI/POSIX
223a8617a8SJordan K. Hubbard  */
23ae8a4b2fSArchie Cobbs extern char __infinity[];
24ae8a4b2fSArchie Cobbs #define HUGE_VAL	(*(double *) __infinity)
253a8617a8SJordan K. Hubbard 
263a8617a8SJordan K. Hubbard /*
273a8617a8SJordan K. Hubbard  * XOPEN/SVID
283a8617a8SJordan K. Hubbard  */
293a8617a8SJordan K. Hubbard #if !defined(_ANSI_SOURCE) && !defined(_POSIX_SOURCE)
303a8617a8SJordan K. Hubbard #define	M_E		2.7182818284590452354	/* e */
313a8617a8SJordan K. Hubbard #define	M_LOG2E		1.4426950408889634074	/* log 2e */
323a8617a8SJordan K. Hubbard #define	M_LOG10E	0.43429448190325182765	/* log 10e */
333a8617a8SJordan K. Hubbard #define	M_LN2		0.69314718055994530942	/* log e2 */
343a8617a8SJordan K. Hubbard #define	M_LN10		2.30258509299404568402	/* log e10 */
353a8617a8SJordan K. Hubbard #define	M_PI		3.14159265358979323846	/* pi */
363a8617a8SJordan K. Hubbard #define	M_PI_2		1.57079632679489661923	/* pi/2 */
373a8617a8SJordan K. Hubbard #define	M_PI_4		0.78539816339744830962	/* pi/4 */
383a8617a8SJordan K. Hubbard #define	M_1_PI		0.31830988618379067154	/* 1/pi */
393a8617a8SJordan K. Hubbard #define	M_2_PI		0.63661977236758134308	/* 2/pi */
403a8617a8SJordan K. Hubbard #define	M_2_SQRTPI	1.12837916709551257390	/* 2/sqrt(pi) */
413a8617a8SJordan K. Hubbard #define	M_SQRT2		1.41421356237309504880	/* sqrt(2) */
423a8617a8SJordan K. Hubbard #define	M_SQRT1_2	0.70710678118654752440	/* 1/sqrt(2) */
433a8617a8SJordan K. Hubbard 
443a8617a8SJordan K. Hubbard #define	MAXFLOAT	((float)3.40282346638528860e+38)
453a8617a8SJordan K. Hubbard extern int signgam;
463a8617a8SJordan K. Hubbard 
473a8617a8SJordan K. Hubbard #if !defined(_XOPEN_SOURCE)
483a8617a8SJordan K. Hubbard enum fdversion {fdlibm_ieee = -1, fdlibm_svid, fdlibm_xopen, fdlibm_posix};
493a8617a8SJordan K. Hubbard 
503a8617a8SJordan K. Hubbard #define _LIB_VERSION_TYPE enum fdversion
513a8617a8SJordan K. Hubbard #define _LIB_VERSION _fdlib_version
523a8617a8SJordan K. Hubbard 
533a8617a8SJordan K. Hubbard /* if global variable _LIB_VERSION is not desirable, one may
543a8617a8SJordan K. Hubbard  * change the following to be a constant by:
553a8617a8SJordan K. Hubbard  *	#define _LIB_VERSION_TYPE const enum version
563a8617a8SJordan K. Hubbard  * In that case, after one initializes the value _LIB_VERSION (see
573a8617a8SJordan K. Hubbard  * s_lib_version.c) during compile time, it cannot be modified
583a8617a8SJordan K. Hubbard  * in the middle of a program
593a8617a8SJordan K. Hubbard  */
603a8617a8SJordan K. Hubbard extern  _LIB_VERSION_TYPE  _LIB_VERSION;
613a8617a8SJordan K. Hubbard 
623a8617a8SJordan K. Hubbard #define _IEEE_  fdlibm_ieee
633a8617a8SJordan K. Hubbard #define _SVID_  fdlibm_svid
643a8617a8SJordan K. Hubbard #define _XOPEN_ fdlibm_xopen
653a8617a8SJordan K. Hubbard #define _POSIX_ fdlibm_posix
663a8617a8SJordan K. Hubbard 
67d6f56cfcSDavid E. O'Brien /* We have a problem when using C++ since `exception' is a reserved
68d6f56cfcSDavid E. O'Brien    name in C++.  */
696a9280beSBruce Evans #ifndef __cplusplus
703a8617a8SJordan K. Hubbard struct exception {
713a8617a8SJordan K. Hubbard 	int type;
723a8617a8SJordan K. Hubbard 	char *name;
733a8617a8SJordan K. Hubbard 	double arg1;
743a8617a8SJordan K. Hubbard 	double arg2;
753a8617a8SJordan K. Hubbard 	double retval;
763a8617a8SJordan K. Hubbard };
776a9280beSBruce Evans #endif
783a8617a8SJordan K. Hubbard 
79219cbe10SBruce Evans #if 0
80219cbe10SBruce Evans /* Old value from CSRG; this is probably better. */
81219cbe10SBruce Evans #define	HUGE		HUGE_VAL
82219cbe10SBruce Evans #else
833a8617a8SJordan K. Hubbard #define	HUGE		MAXFLOAT
84219cbe10SBruce Evans #endif
853a8617a8SJordan K. Hubbard 
863a8617a8SJordan K. Hubbard /*
873a8617a8SJordan K. Hubbard  * set X_TLOSS = pi*2**52, which is possibly defined in <values.h>
883a8617a8SJordan K. Hubbard  * (one may replace the following line by "#include <values.h>")
893a8617a8SJordan K. Hubbard  */
903a8617a8SJordan K. Hubbard 
913a8617a8SJordan K. Hubbard #define X_TLOSS		1.41484755040568800000e+16
923a8617a8SJordan K. Hubbard 
933a8617a8SJordan K. Hubbard #define	DOMAIN		1
943a8617a8SJordan K. Hubbard #define	SING		2
953a8617a8SJordan K. Hubbard #define	OVERFLOW	3
963a8617a8SJordan K. Hubbard #define	UNDERFLOW	4
973a8617a8SJordan K. Hubbard #define	TLOSS		5
983a8617a8SJordan K. Hubbard #define	PLOSS		6
993a8617a8SJordan K. Hubbard 
1003a8617a8SJordan K. Hubbard #endif /* !_XOPEN_SOURCE */
1013a8617a8SJordan K. Hubbard #endif /* !_ANSI_SOURCE && !_POSIX_SOURCE */
1023a8617a8SJordan K. Hubbard 
1033a8617a8SJordan K. Hubbard #include <sys/cdefs.h>
1046898f8c4SBruce Evans 
105219cbe10SBruce Evans /*
106219cbe10SBruce Evans  * Most of these functions have the side effect of setting errno, so they
107219cbe10SBruce Evans  * are not declared as __pure2.  (XXX: this point needs to be revisited,
108219cbe10SBruce Evans  * since C99 doesn't require the mistake of setting errno, and we mostly
109219cbe10SBruce Evans  * don't set it anyway.  In C99, pragmas and functions for changing the
110219cbe10SBruce Evans  * rounding mode affect the purity of these functions.)
111219cbe10SBruce Evans  */
1126898f8c4SBruce Evans __BEGIN_DECLS
1133a8617a8SJordan K. Hubbard /*
1143a8617a8SJordan K. Hubbard  * ANSI/POSIX
1153a8617a8SJordan K. Hubbard  */
11669160b1eSDavid E. O'Brien double	acos(double);
11769160b1eSDavid E. O'Brien double	asin(double);
11869160b1eSDavid E. O'Brien double	atan(double);
11969160b1eSDavid E. O'Brien double	atan2(double, double);
12069160b1eSDavid E. O'Brien double	cos(double);
12169160b1eSDavid E. O'Brien double	sin(double);
12269160b1eSDavid E. O'Brien double	tan(double);
1233a8617a8SJordan K. Hubbard 
12469160b1eSDavid E. O'Brien double	cosh(double);
12569160b1eSDavid E. O'Brien double	sinh(double);
12669160b1eSDavid E. O'Brien double	tanh(double);
1273a8617a8SJordan K. Hubbard 
12869160b1eSDavid E. O'Brien double	exp(double);
129219cbe10SBruce Evans double	frexp(double, int *);	/* fundamentally !__pure2 */
13069160b1eSDavid E. O'Brien double	ldexp(double, int);
13169160b1eSDavid E. O'Brien double	log(double);
13269160b1eSDavid E. O'Brien double	log10(double);
133219cbe10SBruce Evans double	modf(double, double *);	/* fundamentally !__pure2 */
1343a8617a8SJordan K. Hubbard 
13569160b1eSDavid E. O'Brien double	pow(double, double);
13669160b1eSDavid E. O'Brien double	sqrt(double);
1373a8617a8SJordan K. Hubbard 
13869160b1eSDavid E. O'Brien double	ceil(double);
13969160b1eSDavid E. O'Brien double	fabs(double);
14069160b1eSDavid E. O'Brien double	floor(double);
14169160b1eSDavid E. O'Brien double	fmod(double, double);
1423a8617a8SJordan K. Hubbard 
143219cbe10SBruce Evans /*
144219cbe10SBruce Evans  * These functions are not in C90 so they can be "right".  The ones that
145219cbe10SBruce Evans  * never set errno in lib/msun are declared as __pure2.
146219cbe10SBruce Evans  */
1473a8617a8SJordan K. Hubbard #if !defined(_ANSI_SOURCE) && !defined(_POSIX_SOURCE)
14869160b1eSDavid E. O'Brien double	erf(double);
149219cbe10SBruce Evans double	erfc(double) __pure2;
150219cbe10SBruce Evans int	finite(double) __pure2;
15169160b1eSDavid E. O'Brien double	gamma(double);
15269160b1eSDavid E. O'Brien double	hypot(double, double);
153219cbe10SBruce Evans int	isinf(double) __pure2;
154219cbe10SBruce Evans int	isnan(double) __pure2;
15569160b1eSDavid E. O'Brien double	j0(double);
15669160b1eSDavid E. O'Brien double	j1(double);
15769160b1eSDavid E. O'Brien double	jn(int, double);
15869160b1eSDavid E. O'Brien double	lgamma(double);
15969160b1eSDavid E. O'Brien double	y0(double);
16069160b1eSDavid E. O'Brien double	y1(double);
16169160b1eSDavid E. O'Brien double	yn(int, double);
1623a8617a8SJordan K. Hubbard 
1633a8617a8SJordan K. Hubbard #if !defined(_XOPEN_SOURCE)
16469160b1eSDavid E. O'Brien double	acosh(double);
16569160b1eSDavid E. O'Brien double	asinh(double);
16669160b1eSDavid E. O'Brien double	atanh(double);
167219cbe10SBruce Evans double	cbrt(double) __pure2;
168219cbe10SBruce Evans double	logb(double) __pure2;
16969160b1eSDavid E. O'Brien double	nextafter(double, double);
17069160b1eSDavid E. O'Brien double	remainder(double, double);
17169160b1eSDavid E. O'Brien double	scalb(double, double);
17246d7c297SBruce Evans double	tgamma(double);
1733a8617a8SJordan K. Hubbard 
1746a9280beSBruce Evans #ifndef __cplusplus
17569160b1eSDavid E. O'Brien int	matherr(struct exception *);
1766a9280beSBruce Evans #endif
1773a8617a8SJordan K. Hubbard 
1783a8617a8SJordan K. Hubbard /*
1793a8617a8SJordan K. Hubbard  * IEEE Test Vector
1803a8617a8SJordan K. Hubbard  */
18169160b1eSDavid E. O'Brien double	significand(double);
1823a8617a8SJordan K. Hubbard 
1833a8617a8SJordan K. Hubbard /*
1843a8617a8SJordan K. Hubbard  * Functions callable from C, intended to support IEEE arithmetic.
1853a8617a8SJordan K. Hubbard  */
186219cbe10SBruce Evans double	copysign(double, double) __pure2;
18769160b1eSDavid E. O'Brien int	ilogb(double);
188219cbe10SBruce Evans double	rint(double) __pure2;
18969160b1eSDavid E. O'Brien double	scalbn(double, int);
1903a8617a8SJordan K. Hubbard 
1913a8617a8SJordan K. Hubbard /*
1923a8617a8SJordan K. Hubbard  * BSD math library entry points
1933a8617a8SJordan K. Hubbard  */
19469160b1eSDavid E. O'Brien double	drem(double, double);
195219cbe10SBruce Evans double	expm1(double) __pure2;
196219cbe10SBruce Evans double	log1p(double) __pure2;
1973a8617a8SJordan K. Hubbard 
1983a8617a8SJordan K. Hubbard /*
1993a8617a8SJordan K. Hubbard  * Reentrant version of gamma & lgamma; passes signgam back by reference
2003a8617a8SJordan K. Hubbard  * as the second argument; user must allocate space for signgam.
2013a8617a8SJordan K. Hubbard  */
2023a8617a8SJordan K. Hubbard #ifdef _REENTRANT
20369160b1eSDavid E. O'Brien double	gamma_r(double, int *);
20469160b1eSDavid E. O'Brien double	lgamma_r(double, int *);
2053a8617a8SJordan K. Hubbard #endif /* _REENTRANT */
2063a8617a8SJordan K. Hubbard 
2073a8617a8SJordan K. Hubbard /* float versions of ANSI/POSIX functions */
20869160b1eSDavid E. O'Brien float	acosf(float);
20969160b1eSDavid E. O'Brien float	asinf(float);
21069160b1eSDavid E. O'Brien float	atanf(float);
21169160b1eSDavid E. O'Brien float	atan2f(float, float);
21269160b1eSDavid E. O'Brien float	cosf(float);
21369160b1eSDavid E. O'Brien float	sinf(float);
21469160b1eSDavid E. O'Brien float	tanf(float);
2153a8617a8SJordan K. Hubbard 
21669160b1eSDavid E. O'Brien float	coshf(float);
21769160b1eSDavid E. O'Brien float	sinhf(float);
21869160b1eSDavid E. O'Brien float	tanhf(float);
2193a8617a8SJordan K. Hubbard 
22069160b1eSDavid E. O'Brien float	expf(float);
221219cbe10SBruce Evans float	frexpf(float, int *);	/* fundamentally !__pure2 */
22269160b1eSDavid E. O'Brien float	ldexpf(float, int);
22369160b1eSDavid E. O'Brien float	logf(float);
22469160b1eSDavid E. O'Brien float	log10f(float);
225219cbe10SBruce Evans float	modff(float, float *);	/* fundamentally !__pure2 */
2263a8617a8SJordan K. Hubbard 
22769160b1eSDavid E. O'Brien float	powf(float, float);
22869160b1eSDavid E. O'Brien float	sqrtf(float);
2293a8617a8SJordan K. Hubbard 
23069160b1eSDavid E. O'Brien float	ceilf(float);
23169160b1eSDavid E. O'Brien float	fabsf(float);
23269160b1eSDavid E. O'Brien float	floorf(float);
23369160b1eSDavid E. O'Brien float	fmodf(float, float);
2343a8617a8SJordan K. Hubbard 
23569160b1eSDavid E. O'Brien float	erff(float);
236219cbe10SBruce Evans float	erfcf(float) __pure2;
237219cbe10SBruce Evans int	finitef(float) __pure2;
23869160b1eSDavid E. O'Brien float	gammaf(float);
239219cbe10SBruce Evans float	hypotf(float, float) __pure2;
240219cbe10SBruce Evans int	isinf(double) __pure2;
241219cbe10SBruce Evans int	isnanf(float) __pure2;
24269160b1eSDavid E. O'Brien float	j0f(float);
24369160b1eSDavid E. O'Brien float	j1f(float);
24469160b1eSDavid E. O'Brien float	jnf(int, float);
24569160b1eSDavid E. O'Brien float	lgammaf(float);
24669160b1eSDavid E. O'Brien float	y0f(float);
24769160b1eSDavid E. O'Brien float	y1f(float);
24869160b1eSDavid E. O'Brien float	ynf(int, float);
2493a8617a8SJordan K. Hubbard 
25069160b1eSDavid E. O'Brien float	acoshf(float);
25169160b1eSDavid E. O'Brien float	asinhf(float);
25269160b1eSDavid E. O'Brien float	atanhf(float);
253219cbe10SBruce Evans float	cbrtf(float) __pure2;
254219cbe10SBruce Evans float	logbf(float) __pure2;
25569160b1eSDavid E. O'Brien float	nextafterf(float, float);
25669160b1eSDavid E. O'Brien float	remainderf(float, float);
25769160b1eSDavid E. O'Brien float	scalbf(float, float);
2583a8617a8SJordan K. Hubbard 
2593a8617a8SJordan K. Hubbard /*
2603a8617a8SJordan K. Hubbard  * float version of IEEE Test Vector
2613a8617a8SJordan K. Hubbard  */
26269160b1eSDavid E. O'Brien float	significandf(float);
2633a8617a8SJordan K. Hubbard 
2643a8617a8SJordan K. Hubbard /*
2653a8617a8SJordan K. Hubbard  * Float versions of functions callable from C, intended to support
2663a8617a8SJordan K. Hubbard  * IEEE arithmetic.
2673a8617a8SJordan K. Hubbard  */
268219cbe10SBruce Evans float	copysignf(float, float) __pure2;
26969160b1eSDavid E. O'Brien int	ilogbf(float);
27069160b1eSDavid E. O'Brien float	rintf(float);
27169160b1eSDavid E. O'Brien float	scalbnf(float, int);
2723a8617a8SJordan K. Hubbard 
2733a8617a8SJordan K. Hubbard /*
2743a8617a8SJordan K. Hubbard  * float versions of BSD math library entry points
2753a8617a8SJordan K. Hubbard  */
27669160b1eSDavid E. O'Brien float	dremf(float, float);
277219cbe10SBruce Evans float	expm1f(float) __pure2;
278219cbe10SBruce Evans float	log1pf(float) __pure2;
2793a8617a8SJordan K. Hubbard 
2803a8617a8SJordan K. Hubbard /*
2813a8617a8SJordan K. Hubbard  * Float versions of reentrant version of gamma & lgamma; passes
2823a8617a8SJordan K. Hubbard  * signgam back by reference as the second argument; user must
2833a8617a8SJordan K. Hubbard  * allocate space for signgam.
2843a8617a8SJordan K. Hubbard  */
2853a8617a8SJordan K. Hubbard #ifdef _REENTRANT
28669160b1eSDavid E. O'Brien float	gammaf_r(float, int *);
28769160b1eSDavid E. O'Brien float	lgammaf_r(float, int *);
2883a8617a8SJordan K. Hubbard #endif	/* _REENTRANT */
2893a8617a8SJordan K. Hubbard 
2903a8617a8SJordan K. Hubbard #endif /* !_XOPEN_SOURCE */
2913a8617a8SJordan K. Hubbard #endif /* !_ANSI_SOURCE && !_POSIX_SOURCE */
2923a8617a8SJordan K. Hubbard __END_DECLS
2933a8617a8SJordan K. Hubbard 
294ef1ee63eSAlexey Zelkin #endif /* !_MATH_H_ */
295219cbe10SBruce Evans ��������������