xref: /netbsd-src/include/math.h (revision 5e4c038a45edbc7d63b7c2daa76e29f88b64a4e3)
1 /*	$NetBSD: math.h,v 1.24 2002/02/19 13:08:12 simonb 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 #include <machine/math.h>		/* may use __float_u or __double_u */
35 
36 /*
37  * ANSI/POSIX
38  */
39 extern __const union __double_u __infinity;
40 #define HUGE_VAL	__infinity.__val
41 
42 /*
43  * ISO C99
44  */
45 #if defined(__HAVE_NANF) && \
46     (!defined(_ANSI_SOURCE) && \
47     (!defined(_POSIX_C_SOURCE) && !defined(_XOPEN_SOURCE) || \
48      defined(_ISOC99_SOURCE) || (__STDC_VERSION__ - 0) >= 199901L))
49 extern __const union __float_u __nanf;
50 #define	NAN		__nanf.__val
51 #endif /* __HAVE_NANF && (!_ANSI_SOURCE && ....) */
52 
53 /*
54  * XOPEN/SVID
55  */
56 #if !defined(_ANSI_SOURCE) && !defined(_POSIX_C_SOURCE) || \
57     defined(_XOPEN_SOURCE)
58 #define	M_E		2.7182818284590452354	/* e */
59 #define	M_LOG2E		1.4426950408889634074	/* log 2e */
60 #define	M_LOG10E	0.43429448190325182765	/* log 10e */
61 #define	M_LN2		0.69314718055994530942	/* log e2 */
62 #define	M_LN10		2.30258509299404568402	/* log e10 */
63 #define	M_PI		3.14159265358979323846	/* pi */
64 #define	M_PI_2		1.57079632679489661923	/* pi/2 */
65 #define	M_PI_4		0.78539816339744830962	/* pi/4 */
66 #define	M_1_PI		0.31830988618379067154	/* 1/pi */
67 #define	M_2_PI		0.63661977236758134308	/* 2/pi */
68 #define	M_2_SQRTPI	1.12837916709551257390	/* 2/sqrt(pi) */
69 #define	M_SQRT2		1.41421356237309504880	/* sqrt(2) */
70 #define	M_SQRT1_2	0.70710678118654752440	/* 1/sqrt(2) */
71 
72 #define	MAXFLOAT	((float)3.40282346638528860e+38)
73 extern int signgam;
74 #endif /* !_ANSI_SOURCE && !_POSIX_C_SOURCE || _XOPEN_SOURCE */
75 
76 #if !defined(_ANSI_SOURCE) && !defined(_POSIX_C_SOURCE) && \
77     !defined(_XOPEN_SOURCE)
78 enum fdversion {fdlibm_ieee = -1, fdlibm_svid, fdlibm_xopen, fdlibm_posix};
79 
80 #define _LIB_VERSION_TYPE enum fdversion
81 #define _LIB_VERSION _fdlib_version
82 
83 /* if global variable _LIB_VERSION is not desirable, one may
84  * change the following to be a constant by:
85  *	#define _LIB_VERSION_TYPE const enum version
86  * In that case, after one initializes the value _LIB_VERSION (see
87  * s_lib_version.c) during compile time, it cannot be modified
88  * in the middle of a program
89  */
90 extern  _LIB_VERSION_TYPE  _LIB_VERSION;
91 
92 #define _IEEE_  fdlibm_ieee
93 #define _SVID_  fdlibm_svid
94 #define _XOPEN_ fdlibm_xopen
95 #define _POSIX_ fdlibm_posix
96 
97 #ifndef __cplusplus
98 struct exception {
99 	int type;
100 	char *name;
101 	double arg1;
102 	double arg2;
103 	double retval;
104 };
105 #endif
106 
107 #define	HUGE		MAXFLOAT
108 
109 /*
110  * set X_TLOSS = pi*2**52, which is possibly defined in <values.h>
111  * (one may replace the following line by "#include <values.h>")
112  */
113 
114 #define X_TLOSS		1.41484755040568800000e+16
115 
116 #define	DOMAIN		1
117 #define	SING		2
118 #define	OVERFLOW	3
119 #define	UNDERFLOW	4
120 #define	TLOSS		5
121 #define	PLOSS		6
122 
123 #endif /* !_ANSI_SOURCE && !_POSIX_C_SOURCE && !_XOPEN_SOURCE */
124 
125 __BEGIN_DECLS
126 /*
127  * ANSI/POSIX
128  */
129 double	acos __P((double));
130 double	asin __P((double));
131 double	atan __P((double));
132 double	atan2 __P((double, double));
133 double	cos __P((double));
134 double	sin __P((double));
135 double	tan __P((double));
136 
137 double	cosh __P((double));
138 double	sinh __P((double));
139 double	tanh __P((double));
140 
141 double	exp __P((double));
142 double	frexp __P((double, int *));
143 double	ldexp __P((double, int));
144 double	log __P((double));
145 double	log10 __P((double));
146 double	modf __P((double, double *));
147 
148 double	pow __P((double, double));
149 double	sqrt __P((double));
150 
151 double	ceil __P((double));
152 double	fabs __P((double));
153 double	floor __P((double));
154 double	fmod __P((double, double));
155 
156 #if !defined(_ANSI_SOURCE) && !defined(_POSIX_C_SOURCE) || \
157     defined(_XOPEN_SOURCE)
158 double	erf __P((double));
159 double	erfc __P((double));
160 double	gamma __P((double));
161 double	hypot __P((double, double));
162 int	isnan __P((double));
163 int	finite __P((double));
164 double	j0 __P((double));
165 double	j1 __P((double));
166 double	jn __P((int, double));
167 double	lgamma __P((double));
168 double	y0 __P((double));
169 double	y1 __P((double));
170 double	yn __P((int, double));
171 
172 #if !defined(_XOPEN_SOURCE) || (_XOPEN_SOURCE - 0) >= 500
173 double	acosh __P((double));
174 double	asinh __P((double));
175 double	atanh __P((double));
176 double	cbrt __P((double));
177 double	expm1 __P((double));
178 int	ilogb __P((double));
179 double	log1p __P((double));
180 double	logb __P((double));
181 double	nextafter __P((double, double));
182 double	remainder __P((double, double));
183 double	rint __P((double));
184 double	scalb __P((double, double));
185 #endif /* !defined(_XOPEN_SOURCE) || (_XOPEN_SOURCE - 0) >= 500 */
186 #endif /* !_ANSI_SOURCE) && !_POSIX_C_SOURCE || _XOPEN_SOURCE */
187 
188 #if !defined(_ANSI_SOURCE) && !defined(_POSIX_C_SOURCE) && \
189     !defined(_XOPEN_SOURCE)
190 #ifndef __cplusplus
191 int	matherr __P((struct exception *));
192 #endif
193 
194 /*
195  * IEEE Test Vector
196  */
197 double	significand __P((double));
198 
199 /*
200  * Functions callable from C, intended to support IEEE arithmetic.
201  */
202 double	copysign __P((double, double));
203 double	scalbn __P((double, int));
204 
205 /*
206  * BSD math library entry points
207  */
208 #ifndef __MATH_PRIVATE__
209 double	cabs __P((/* struct complex { double r; double i; } */));
210 #endif
211 double	drem __P((double, double));
212 
213 #endif /* !_ANSI_SOURCE && !_POSIX_C_SOURCE && !_XOPEN_SOURCE */
214 
215 #if !defined(_ANSI_SOURCE) && !defined(_POSIX_C_SOURCE) && \
216     !defined(_XOPEN_SOURCE) || defined(_REENTRANT)
217 /*
218  * Reentrant version of gamma & lgamma; passes signgam back by reference
219  * as the second argument; user must allocate space for signgam.
220  */
221 double	gamma_r __P((double, int *));
222 double	lgamma_r __P((double, int *));
223 #endif /* !... || _REENTRANT */
224 
225 
226 #if !defined(_ANSI_SOURCE) && !defined(_POSIX_C_SOURCE) && \
227     !defined(_XOPEN_SOURCE)
228 int	isinf __P((double));
229 
230 /* float versions of ANSI/POSIX functions */
231 float	acosf __P((float));
232 float	asinf __P((float));
233 float	atanf __P((float));
234 float	atan2f __P((float, float));
235 float	cosf __P((float));
236 float	sinf __P((float));
237 float	tanf __P((float));
238 
239 float	coshf __P((float));
240 float	sinhf __P((float));
241 float	tanhf __P((float));
242 
243 float	expf __P((float));
244 float	frexpf __P((float, int *));
245 float	ldexpf __P((float, int));
246 float	logf __P((float));
247 float	log10f __P((float));
248 float	modff __P((float, float *));
249 
250 float	powf __P((float, float));
251 float	sqrtf __P((float));
252 
253 float	ceilf __P((float));
254 float	fabsf __P((float));
255 float	floorf __P((float));
256 float	fmodf __P((float, float));
257 
258 float	erff __P((float));
259 float	erfcf __P((float));
260 float	gammaf __P((float));
261 float	hypotf __P((float, float));
262 int	isinff __P((float));
263 int	isnanf __P((float));
264 int	finitef __P((float));
265 float	j0f __P((float));
266 float	j1f __P((float));
267 float	jnf __P((int, float));
268 float	lgammaf __P((float));
269 float	y0f __P((float));
270 float	y1f __P((float));
271 float	ynf __P((int, float));
272 
273 float	acoshf __P((float));
274 float	asinhf __P((float));
275 float	atanhf __P((float));
276 float	cbrtf __P((float));
277 float	logbf __P((float));
278 float	nextafterf __P((float, float));
279 float	remainderf __P((float, float));
280 float	scalbf __P((float, float));
281 
282 /*
283  * float version of IEEE Test Vector
284  */
285 float	significandf __P((float));
286 
287 /*
288  * Float versions of functions callable from C, intended to support
289  * IEEE arithmetic.
290  */
291 float	copysignf __P((float, float));
292 int	ilogbf __P((float));
293 float	rintf __P((float));
294 float	scalbnf __P((float, int));
295 
296 /*
297  * float versions of BSD math library entry points
298  */
299 #ifndef __MATH_PRIVATE__
300 float	cabsf __P((/* struct complex { float r; float i; } */));
301 #endif
302 float	dremf __P((float, float));
303 float	expm1f __P((float));
304 float	log1pf __P((float));
305 #endif /* !_ANSI_SOURCE && !_POSIX_C_SOURCE && !_XOPEN_SOURCE */
306 
307 #if !defined(_ANSI_SOURCE) && !defined(_POSIX_C_SOURCE) && \
308     !defined(_XOPEN_SOURCE) || defined(_REENTRANT)
309 /*
310  * Float versions of reentrant version of gamma & lgamma; passes
311  * signgam back by reference as the second argument; user must
312  * allocate space for signgam.
313  */
314 float	gammaf_r __P((float, int *));
315 float	lgammaf_r __P((float, int *));
316 #endif /* !... || _REENTRANT */
317 
318 __END_DECLS
319 
320 #endif /* _MATH_H_ */
321