xref: /illumos-gate/usr/src/head/math.h (revision 21f023df5de311466c7fef39e70e23b3551a16d5)
1 /*
2  * CDDL HEADER START
3  *
4  * The contents of this file are subject to the terms of the
5  * Common Development and Distribution License (the "License").
6  * You may not use this file except in compliance with the License.
7  *
8  * You can obtain a copy of the license at usr/src/OPENSOLARIS.LICENSE
9  * or http://www.opensolaris.org/os/licensing.
10  * See the License for the specific language governing permissions
11  * and limitations under the License.
12  *
13  * When distributing Covered Code, include this CDDL HEADER in each
14  * file and include the License file at usr/src/OPENSOLARIS.LICENSE.
15  * If applicable, add the following below this CDDL HEADER, with the
16  * fields enclosed by brackets "[]" replaced with your own identifying
17  * information: Portions Copyright [yyyy] [name of copyright owner]
18  *
19  * CDDL HEADER END
20  */
21 /*
22  * Copyright 2011 Nexenta Systems, Inc.  All rights reserved.
23  */
24 /*
25  * Copyright 2004 Sun Microsystems, Inc.  All rights reserved.
26  * Use is subject to license terms.
27  */
28 
29 #ifndef _MATH_H
30 #define	_MATH_H
31 
32 #include <iso/math_iso.h>
33 #include <iso/math_c99.h>
34 
35 #if __cplusplus >= 199711L
36 using std::abs;
37 using std::acos;
38 using std::asin;
39 using std::atan2;
40 using std::atan;
41 using std::ceil;
42 using std::cos;
43 using std::cosh;
44 using std::exp;
45 using std::fabs;
46 using std::floor;
47 using std::fmod;
48 using std::frexp;
49 using std::ldexp;
50 using std::log10;
51 using std::log;
52 using std::modf;
53 using std::pow;
54 using std::sin;
55 using std::sinh;
56 using std::sqrt;
57 using std::tan;
58 using std::tanh;
59 #endif
60 
61 #ifdef __cplusplus
62 extern "C" {
63 #endif
64 
65 #if defined(__cplusplus)
66 #define	exception	__math_exception
67 #endif
68 
69 #if defined(__EXTENSIONS__) || defined(_XOPEN_SOURCE) || \
70 	!defined(_STRICT_STDC) && !defined(_POSIX_C_SOURCE)
71 /*
72  * SVID & X/Open
73  */
74 #define	M_E		2.7182818284590452354
75 #define	M_LOG2E		1.4426950408889634074
76 #define	M_LOG10E	0.43429448190325182765
77 #define	M_LN2		0.69314718055994530942
78 #define	M_LN10		2.30258509299404568402
79 #define	M_PI		3.14159265358979323846
80 #define	M_PI_2		1.57079632679489661923
81 #define	M_PI_4		0.78539816339744830962
82 #define	M_1_PI		0.31830988618379067154
83 #define	M_2_PI		0.63661977236758134308
84 #define	M_2_SQRTPI	1.12837916709551257390
85 #define	M_SQRT2		1.41421356237309504880
86 #define	M_SQRT1_2	0.70710678118654752440
87 
88 extern int signgam;
89 
90 #define	MAXFLOAT	((float)3.40282346638528860e+38)
91 
92 #if defined(__EXTENSIONS__) || !defined(_XOPEN_SOURCE)
93 /*
94  * SVID
95  */
96 enum version {libm_ieee = -1, c_issue_4, ansi_1, strict_ansi};
97 
98 #ifdef __STDC__
99 extern const enum version _lib_version;
100 #else
101 extern enum version _lib_version;
102 #endif
103 
104 struct exception {
105 	int type;
106 	char *name;
107 	double arg1;
108 	double arg2;
109 	double retval;
110 };
111 
112 #define	HUGE		MAXFLOAT
113 
114 #define	_ABS(x)		((x) < 0 ? -(x) : (x))
115 
116 #define	_REDUCE(TYPE, X, XN, C1, C2)	{ \
117 	double x1 = (double)(TYPE)X, x2 = X - x1; \
118 	X = x1 - (XN) * (C1); X += x2; X -= (XN) * (C2); }
119 
120 #define	DOMAIN		1
121 #define	SING		2
122 #define	OVERFLOW	3
123 #define	UNDERFLOW	4
124 #define	TLOSS		5
125 #define	PLOSS		6
126 
127 #define	_POLY1(x, c)	((c)[0] * (x) + (c)[1])
128 #define	_POLY2(x, c)	(_POLY1((x), (c)) * (x) + (c)[2])
129 #define	_POLY3(x, c)	(_POLY2((x), (c)) * (x) + (c)[3])
130 #define	_POLY4(x, c)	(_POLY3((x), (c)) * (x) + (c)[4])
131 #define	_POLY5(x, c)	(_POLY4((x), (c)) * (x) + (c)[5])
132 #define	_POLY6(x, c)	(_POLY5((x), (c)) * (x) + (c)[6])
133 #define	_POLY7(x, c)	(_POLY6((x), (c)) * (x) + (c)[7])
134 #define	_POLY8(x, c)	(_POLY7((x), (c)) * (x) + (c)[8])
135 #define	_POLY9(x, c)	(_POLY8((x), (c)) * (x) + (c)[9])
136 #endif	/* defined(__EXTENSIONS__) || !defined(_XOPEN_SOURCE) */
137 
138 /*
139  * SVID & X/Open
140  */
141 /* BEGIN adopted by C99 */
142 extern double erf(double);
143 extern double erfc(double);
144 extern double hypot(double, double);
145 extern double lgamma(double);
146 
147 #if defined(__MATHERR_ERRNO_DONTCARE)
148 #pragma does_not_read_global_data(erf, erfc, hypot)
149 #pragma does_not_write_global_data(erf, erfc, hypot)
150 #pragma no_side_effect(erf, erfc, hypot)
151 #endif
152 
153 #if !defined(_STDC_C99) && _XOPEN_SOURCE - 0 < 600 && !defined(__C99FEATURES__)
154 extern int isnan(double);
155 
156 #pragma does_not_read_global_data(isnan)
157 #pragma does_not_write_global_data(isnan)
158 #pragma no_side_effect(isnan)
159 #endif
160 /* END adopted by C99 */
161 
162 #if defined(__EXTENSIONS__) || _XOPEN_SOURCE - 0 < 600
163 extern double gamma(double);		/* deprecated; use lgamma */
164 #endif
165 extern double j0(double);
166 extern double j1(double);
167 extern double jn(int, double);
168 extern double y0(double);
169 extern double y1(double);
170 extern double yn(int, double);
171 
172 #if defined(__MATHERR_ERRNO_DONTCARE)
173 #pragma does_not_read_global_data(j0, j1, jn, y0, y1, yn)
174 #pragma does_not_write_global_data(j0, j1, jn, y0, y1, yn)
175 #pragma no_side_effect(j0, j1, jn, y0, y1, yn)
176 #endif
177 #if defined(__EXTENSIONS__) || !defined(_XOPEN_SOURCE) || \
178 	_XOPEN_SOURCE - 0 >= 500 || \
179 	defined(_XOPEN_SOURCE) && _XOPEN_SOURCE_EXTENDED - 0 == 1
180 /*
181  * SVID & XPG 4.2/5
182  */
183 extern double scalb(double, double);
184 
185 #if defined(__MATHERR_ERRNO_DONTCARE)
186 #pragma does_not_read_global_data(scalb)
187 #pragma does_not_write_global_data(scalb)
188 #pragma no_side_effect(scalb)
189 #endif
190 
191 /* BEGIN adopted by C99 */
192 extern double acosh(double);
193 extern double asinh(double);
194 extern double atanh(double);
195 extern double cbrt(double);
196 extern double logb(double);
197 extern double nextafter(double, double);
198 extern double remainder(double, double);
199 
200 /*
201  * XPG 4.2/5
202  */
203 extern double expm1(double);
204 extern int ilogb(double);
205 extern double log1p(double);
206 extern double rint(double);
207 
208 #if defined(__MATHERR_ERRNO_DONTCARE)
209 #pragma does_not_read_global_data(acosh, asinh, atanh, cbrt)
210 #pragma does_not_read_global_data(logb, nextafter, remainder)
211 #pragma does_not_read_global_data(expm1, ilogb, log1p, rint)
212 #pragma does_not_write_global_data(acosh, asinh, atanh, cbrt)
213 #pragma does_not_write_global_data(logb, nextafter, remainder)
214 #pragma does_not_write_global_data(expm1, ilogb, log1p, rint)
215 #pragma no_side_effect(acosh, asinh, atanh, cbrt)
216 #pragma no_side_effect(logb, nextafter, remainder)
217 #pragma no_side_effect(expm1, ilogb, log1p, rint)
218 #endif
219 /* END adopted by C99 */
220 #endif	/* defined(__EXTENSIONS__) || !defined(_XOPEN_SOURCE) || ... */
221 
222 #if defined(__EXTENSIONS__) || !defined(_XOPEN_SOURCE)
223 /*
224  * SVID
225  */
226 extern int matherr(struct exception *);
227 
228 /*
229  * IEEE Test Vector
230  */
231 extern double significand(double);
232 
233 #if defined(__MATHERR_ERRNO_DONTCARE)
234 #pragma does_not_read_global_data(significand)
235 #pragma does_not_write_global_data(significand)
236 #pragma no_side_effect(significand)
237 #endif
238 
239 extern int signgamf;				/* deprecated; use signgam */
240 extern int signgaml;				/* deprecated; use signgam */
241 
242 extern int isnanf(float);
243 extern int isnanl(long double);
244 extern float gammaf(float);		/* deprecated; use lgammaf */
245 extern float gammaf_r(float, int *);	/* deprecated; use lgammaf_r */
246 extern float j0f(float);
247 extern float j1f(float);
248 extern float jnf(int, float);
249 extern float lgammaf_r(float, int *);
250 extern float scalbf(float, float);
251 extern float significandf(float);
252 extern float y0f(float);
253 extern float y1f(float);
254 extern float ynf(int, float);
255 extern long double gammal(long double);	/* deprecated; use lgammal */
256 extern long double gammal_r(long double, int *);	/* deprecated */
257 extern long double j0l(long double);
258 extern long double j1l(long double);
259 extern long double jnl(int, long double);
260 extern long double lgammal_r(long double, int *);
261 extern long double scalbl(long double, long double);
262 extern long double significandl(long double);
263 extern long double y0l(long double);
264 extern long double y1l(long double);
265 extern long double ynl(int, long double);
266 
267 #if defined(__MATHERR_ERRNO_DONTCARE)
268 #pragma does_not_read_global_data(isnanf, isnanl)
269 #pragma does_not_write_global_data(isnanf, isnanl)
270 #pragma no_side_effect(isnanf, isnanl)
271 #pragma does_not_read_global_data(gammaf_r, j0f, j1f, jnf, lgammaf_r, scalbf)
272 #pragma does_not_read_global_data(significandf, y0f, y1f, ynf)
273 #pragma does_not_write_global_data(j0f, j1f, jnf, scalbf)
274 #pragma does_not_write_global_data(significandf, y0f, y1f, ynf)
275 #pragma no_side_effect(j0f, j1f, jnf, scalbf)
276 #pragma no_side_effect(significandf, y0f, y1f, ynf)
277 #pragma does_not_read_global_data(gammal_r, j0l, j1l, jnl, lgammal_r, scalbl)
278 #pragma does_not_read_global_data(significandl, y0l, y1l, ynl)
279 #pragma does_not_write_global_data(j0l, j1l, jnl, scalbl)
280 #pragma does_not_write_global_data(significandl, y0l, y1l, ynl)
281 #pragma no_side_effect(j0l, j1l, jnl, scalbl)
282 #pragma no_side_effect(significandl, y0l, y1l, ynl)
283 #endif
284 
285 /*
286  * for sin+cos->sincos transformation
287  */
288 extern void sincos(double, double *, double *);
289 extern void sincosf(float, float *, float *);
290 extern void sincosl(long double, long double *, long double *);
291 
292 #if defined(__MATHERR_ERRNO_DONTCARE)
293 #pragma does_not_read_global_data(sincos, sincosf, sincosl)
294 #endif
295 
296 /* BEGIN adopted by C99 */
297 /*
298  * Functions callable from C, intended to support IEEE arithmetic.
299  */
300 extern double copysign(double, double);
301 extern double scalbn(double, int);
302 
303 #if defined(__MATHERR_ERRNO_DONTCARE)
304 #pragma does_not_read_global_data(copysign, scalbn)
305 #pragma does_not_write_global_data(copysign, scalbn)
306 #pragma no_side_effect(copysign, scalbn)
307 #endif
308 /* END adopted by C99 */
309 
310 /*
311  * Reentrant version of gamma & lgamma; passes signgam back by reference
312  * as the second argument; user must allocate space for signgam.
313  */
314 extern double gamma_r(double, int *);	/* deprecated; use lgamma_r */
315 extern double lgamma_r(double, int *);
316 
317 #if defined(__MATHERR_ERRNO_DONTCARE)
318 #pragma does_not_read_global_data(gamma_r, lgamma_r)
319 #endif
320 
321 /* BEGIN adopted by C99 */
322 extern float modff(float, float *);
323 
324 #if defined(__MATHERR_ERRNO_DONTCARE)
325 #pragma does_not_read_global_data(modff)
326 #endif
327 /* END adopted by C99 */
328 
329 #if defined(__EXTENSIONS__) || !defined(__cplusplus)
330 #include <floatingpoint.h>
331 #endif
332 #endif	/* defined(__EXTENSIONS__) || !defined(_XOPEN_SOURCE) */
333 #endif	/* defined(__EXTENSIONS__) || defined(_XOPEN_SOURCE) || ... */
334 
335 #if defined(__cplusplus) && defined(__GNUC__)
336 #undef	exception
337 #endif
338 
339 #ifdef __cplusplus
340 }
341 #endif
342 
343 #endif	/* _MATH_H */
344