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math.h (9222B)
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1 /*
2 * ====================================================
3 * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
4 *
5 * Developed at SunPro, a Sun Microsystems, Inc. business.
6 * Permission to use, copy, modify, and distribute this
7 * software is freely granted, provided that this notice
8 * is preserved.
9 * ====================================================
10 */
11
12 #ifndef _MATH_H_
13 #define _MATH_H_
14
15
16 /*
17 * ANSI/POSIX
18 */
19 extern const union __infinity_un {
20 unsigned char __uc[8];
21 double __ud;
22 } __infinity;
23
24 extern const union __nan_un {
25 unsigned char __uc[sizeof(float)];
26 float __uf;
27 } __nan;
28
29 #define HUGE_VAL __builtin_huge_val()
30
31 #define FP_ILOGB0 (-INT_MAX)
32 #define FP_ILOGBNAN INT_MAX
33
34 #define HUGE_VALF __builtin_huge_valf()
35 #define HUGE_VALL __builtin_huge_vall()
36 #define INFINITY __builtin_inf()
37 #define NAN __builtin_nan("")
38
39 #define MATH_ERRNO 1
40 #define MATH_ERREXCEPT 2
41 #define math_errhandling MATH_ERREXCEPT
42
43 #define FP_FAST_FMAF
44
45 /* Symbolic constants to classify floating point numbers. */
46 #define FP_INFINITE 0x01
47 #define FP_NAN 0x02
48 #define FP_NORMAL 0x04
49 #define FP_SUBNORMAL 0x08
50 #define FP_ZERO 0x10
51 #define fpclassify(x) \
52 ((sizeof (x) == sizeof (float)) ? __fpclassifyf(x) \
53 : (sizeof (x) == sizeof (double)) ? __fpclassifyd(x) \
54 : __fpclassifyl(x))
55
56 #define isfinite(x) \
57 ((sizeof (x) == sizeof (float)) ? __isfinitef(x) \
58 : (sizeof (x) == sizeof (double)) ? __isfinite(x) \
59 : __isfinitel(x))
60 #define isinf(x) \
61 ((sizeof (x) == sizeof (float)) ? __isinff(x) \
62 : (sizeof (x) == sizeof (double)) ? isinf(x) \
63 : __isinfl(x))
64 #define isnan(x) \
65 ((sizeof (x) == sizeof (float)) ? isnanf(x) \
66 : (sizeof (x) == sizeof (double)) ? isnan(x) \
67 : __isnanl(x))
68 #define isnormal(x) \
69 ((sizeof (x) == sizeof (float)) ? __isnormalf(x) \
70 : (sizeof (x) == sizeof (double)) ? __isnormal(x) \
71 : __isnormall(x))
72
73 #define isgreater(x, y) __builtin_isgreater((x), (y))
74 #define isgreaterequal(x, y) __builtin_isgreaterequal((x), (y))
75 #define isless(x, y) __builtin_isless((x), (y))
76 #define islessequal(x, y) __builtin_islessequal((x), (y))
77 #define islessgreater(x, y) __builtin_islessgreater((x), (y))
78 #define isunordered(x, y) __builtin_isunordered((x), (y))
79
80 #define signbit(x) \
81 ((sizeof (x) == sizeof (float)) ? __signbitf(x) \
82 : (sizeof (x) == sizeof (double)) ? __signbit(x) \
83 : __signbitl(x))
84
85
86 /* FLT_EVAL_METHOD = 0 (float.h) */
87 typedef double double_t;
88 typedef float float_t;
89
90
91 /*
92 * XOPEN/SVID
93 */
94 #define M_E 2.7182818284590452354 /* e */
95 #define M_LOG2E 1.4426950408889634074 /* log 2e */
96 #define M_LOG10E 0.43429448190325182765 /* log 10e */
97 #define M_LN2 0.69314718055994530942 /* log e2 */
98 #define M_LN10 2.30258509299404568402 /* log e10 */
99 #define M_PI 3.14159265358979323846 /* pi */
100 #define M_PI_2 1.57079632679489661923 /* pi/2 */
101 #define M_PI_4 0.78539816339744830962 /* pi/4 */
102 #define M_1_PI 0.31830988618379067154 /* 1/pi */
103 #define M_2_PI 0.63661977236758134308 /* 2/pi */
104 #define M_2_SQRTPI 1.12837916709551257390 /* 2/sqrt(pi) */
105 #define M_SQRT2 1.41421356237309504880 /* sqrt(2) */
106 #define M_SQRT1_2 0.70710678118654752440 /* 1/sqrt(2) */
107
108 #define MAXFLOAT ((float)3.40282346638528860e+38)
109 extern int signgam;
110
111 #if __BSD_VISIBLE
112 enum fdversion {fdlibm_ieee = -1, fdlibm_svid, fdlibm_xopen, fdlibm_posix};
113
114 #define _LIB_VERSION_TYPE enum fdversion
115 #define _LIB_VERSION _fdlib_version
116
117 /* if global variable _LIB_VERSION is not desirable, one may
118 * change the following to be a constant by:
119 * #define _LIB_VERSION_TYPE const enum version
120 * In that case, after one initializes the value _LIB_VERSION (see
121 * s_lib_version.c) during compile time, it cannot be modified
122 * in the middle of a program
123 */
124 extern _LIB_VERSION_TYPE _LIB_VERSION;
125
126 #define _IEEE_ fdlibm_ieee
127 #define _SVID_ fdlibm_svid
128 #define _XOPEN_ fdlibm_xopen
129 #define _POSIX_ fdlibm_posix
130
131 /* We have a problem when using C++ since `exception' is a reserved
132 name in C++. */
133 #ifndef __cplusplus
134 struct exception {
135 int type;
136 char *name;
137 double arg1;
138 double arg2;
139 double retval;
140 };
141 #endif
142
143 #if 0
144 /* Old value from 4.4BSD-Lite math.h; this is probably better. */
145 #define HUGE HUGE_VAL
146 #else
147 #define HUGE MAXFLOAT
148 #endif
149
150 #define X_TLOSS 1.41484755040568800000e+16 /* pi*2**52 */
151
152 #define DOMAIN 1
153 #define SING 2
154 #define OVERFLOW 3
155 #define UNDERFLOW 4
156 #define TLOSS 5
157 #define PLOSS 6
158
159 #endif /* __BSD_VISIBLE */
160
161 /*
162 * Most of these functions depend on the rounding mode and have the side
163 * effect of raising floating-point exceptions, so they are not declared
164 * as __pure2. In C99, FENV_ACCESS affects the purity of these functions.
165 */
166 #define __pure2 __attribute__((__const__))
167
168 /*
169 * ANSI/POSIX
170 */
171 int __fpclassifyd(double) __pure2;
172 int __fpclassifyf(float) __pure2;
173 int __fpclassifyl(long double) __pure2;
174 int __isfinitef(float) __pure2;
175 int __isfinite(double) __pure2;
176 int __isfinitel(long double) __pure2;
177 int __isinff(float) __pure2;
178 int __isinfl(long double) __pure2;
179 int __isnanl(long double) __pure2;
180 int __isnormalf(float) __pure2;
181 int __isnormal(double) __pure2;
182 int __isnormall(long double) __pure2;
183 int __signbit(double) __pure2;
184 int __signbitf(float) __pure2;
185 int __signbitl(long double) __pure2;
186
187 double acos(double);
188 double asin(double);
189 double atan(double);
190 double atan2(double, double);
191 double cos(double);
192 double sin(double);
193 double tan(double);
194
195 double cosh(double);
196 double sinh(double);
197 double tanh(double);
198
199 double exp(double);
200 double frexp(double, int *); /* fundamentally !__pure2 */
201 double ldexp(double, int);
202 double log(double);
203 double log10(double);
204 double modf(double, double *); /* fundamentally !__pure2 */
205
206 double pow(double, double);
207 double sqrt(double);
208
209 double ceil(double);
210 double fabs(double) __pure2;
211 double floor(double);
212 double fmod(double, double);
213
214 /*
215 * These functions are not in C90.
216 */
217 double acosh(double);
218 double asinh(double);
219 double atanh(double);
220 double cbrt(double);
221 double erf(double);
222 double erfc(double);
223 double expm1(double);
224 double hypot(double, double);
225 /* Our ilogb raises no exceptions; we side with IEEE-754R and C99, not POSIX */
226 int ilogb(double) __pure2;
227 int (isinf)(double) __pure2;
228 int (isnan)(double) __pure2;
229 double lgamma(double);
230 long long llrint(double);
231 long long llround(double);
232 double log1p(double);
233 double logb(double);
234 long lrint(double);
235 long lround(double);
236 double nextafter(double, double);
237 double remainder(double, double);
238 double rint(double);
239
240 double j0(double);
241 double j1(double);
242 double jn(int, double);
243 double scalb(double, double);
244 double y0(double);
245 double y1(double);
246 double yn(int, double);
247
248 double copysign(double, double) __pure2;
249 double fdim(double, double);
250 double fmax(double, double) __pure2;
251 double fmin(double, double) __pure2;
252 double nearbyint(double);
253 double round(double);
254 double scalbln(double, long);
255 double scalbn(double, int);
256 double tgamma(double);
257 double trunc(double);
258
259 /*
260 * BSD math library entry points
261 */
262 double drem(double, double);
263 int finite(double) __pure2;
264 int isnanf(float) __pure2;
265
266 /*
267 * Reentrant version of gamma & lgamma; passes signgam back by reference
268 * as the second argument; user must allocate space for signgam.
269 */
270 double gamma_r(double, int *);
271 double lgamma_r(double, int *);
272
273 /*
274 * IEEE Test Vector
275 */
276 double significand(double);
277
278
279 /* float versions of ANSI/POSIX functions */
280 float acosf(float);
281 float asinf(float);
282 float atanf(float);
283 float atan2f(float, float);
284 float cosf(float);
285 float sinf(float);
286 float tanf(float);
287
288 float coshf(float);
289 float sinhf(float);
290 float tanhf(float);
291
292 float expf(float);
293 float expm1f(float);
294 float frexpf(float, int *); /* fundamentally !__pure2 */
295 int ilogbf(float) __pure2;
296 float ldexpf(float, int);
297 float log10f(float);
298 float log1pf(float);
299 float logf(float);
300 float modff(float, float *); /* fundamentally !__pure2 */
301
302 float powf(float, float);
303 float sqrtf(float);
304
305 float ceilf(float);
306 float fabsf(float) __pure2;
307 float floorf(float);
308 float fmodf(float, float);
309 float roundf(float);
310
311 float erff(float);
312 float erfcf(float);
313 float hypotf(float, float);
314 float lgammaf(float);
315
316 float acoshf(float);
317 float asinhf(float);
318 float atanhf(float);
319 float cbrtf(float);
320 float logbf(float);
321 float copysignf(float, float) __pure2;
322 long long llrintf(float);
323 long long llroundf(float);
324 long lrintf(float);
325 long lroundf(float);
326 float nearbyintf(float);
327 float nextafterf(float, float);
328 float remainderf(float, float);
329 float rintf(float);
330 float scalblnf(float, long);
331 float scalbnf(float, int);
332 float truncf(float);
333
334 float fdimf(float, float);
335 float fmaxf(float, float) __pure2;
336 float fminf(float, float) __pure2;
337
338 /*
339 * float versions of BSD math library entry points
340 */
341 float dremf(float, float);
342 int finitef(float) __pure2;
343 float gammaf(float);
344 float j0f(float);
345 float j1f(float);
346 float jnf(int, float);
347 float scalbf(float, float);
348 float y0f(float);
349 float y1f(float);
350 float ynf(int, float);
351
352 /*
353 * Float versions of reentrant version of gamma & lgamma; passes
354 * signgam back by reference as the second argument; user must
355 * allocate space for signgam.
356 */
357 float gammaf_r(float, int *);
358 float lgammaf_r(float, int *);
359
360 /*
361 * float version of IEEE Test Vector
362 */
363 float significandf(float);
364
365 #endif /* !_MATH_H_ */