Add PCICAP_{ID,NEXTPTR} to avoid using magic number
[dragonfly.git] / include / math.h
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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 *
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11 * $NetBSD: math.h,v 1.46 2007/02/22 22:08:19 drochner Exp $
12 * $DragonFly: src/include/math.h,v 1.12 2007/06/17 18:00:08 pavalos Exp $
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13 */
14
15/*
16 * @(#)fdlibm.h 5.1 93/09/24
17 */
18
19#ifndef _MATH_H_
20#define _MATH_H_
21
22#include <sys/cdefs.h>
23
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24#if __GNUC_PREREQ__(3, 3) || (defined(__INTEL_COMPILER) && __INTEL_COMPILER >= 800)
25#define __MATH_BUILTIN_CONSTANTS
26#endif
27
28#if __GNUC_PREREQ__(3, 0) && !defined(__INTEL_COMPILER)
29#define __MATH_BUILTIN_RELOPS
30#endif
31
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32union __float_u {
33 unsigned char __dummy[sizeof(float)];
34 float __val;
35};
36
37union __double_u {
38 unsigned char __dummy[sizeof(double)];
39 double __val;
40};
41
42union __long_double_u {
43 unsigned char __dummy[sizeof(long double)];
44 long double __val;
45};
46
47#include <machine/math.h>
48
49#ifdef __HAVE_LONG_DOUBLE
50#define __fpmacro_unary_floating(__name, __arg0) \
51 /* LINTED */ \
52 ((sizeof (__arg0) == sizeof (float)) \
53 ? __ ## __name ## f (__arg0) \
54 : (sizeof (__arg0) == sizeof (double)) \
55 ? __ ## __name ## d (__arg0) \
56 : __ ## __name ## l (__arg0))
57#else
58#define __fpmacro_unary_floating(__name, __arg0) \
59 /* LINTED */ \
60 ((sizeof (__arg0) == sizeof (float)) \
61 ? __ ## __name ## f (__arg0) \
62 : __ ## __name ## d (__arg0))
63#endif /* __HAVE_LONG_DOUBLE */
64
65/*
66 * ANSI/POSIX
67 */
68/* 7.12#3 HUGE_VAL, HUGELF, HUGE_VALL */
18e9dc33 69extern const union __double_u __infinity;
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70#ifdef __MATH_BUILTIN_CONSTANTS
71#define HUGE_VAL __builtin_huge_val()
72#else
73#define HUGE_VAL __infinity.__val
74#endif
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75
76/*
77 * ISO C99
78 */
79#if __ISO_C_VISIBLE >= 1999
80/* 7.12#3 HUGE_VAL, HUGELF, HUGE_VALL */
18e9dc33 81extern const union __float_u __infinityf;
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82#ifdef __MATH_BUILTIN_CONSTANTS
83#define HUGE_VALF __builtin_huge_valf()
84#else
b34b60bc 85#define HUGE_VALF __infinityf.__val
1ce93220 86#endif
b34b60bc 87
18e9dc33 88extern const union __long_double_u __infinityl;
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89#define HUGE_VALL __infinityl.__val
90
91/* 7.12#4 INFINITY */
1ce93220 92#ifdef __MATH_BUILTIN_CONSTANTS
f2be1b3f 93#define INFINITY __builtin_inf()
1ce93220 94#elif defined(__INFINITY)
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95#define INFINITY __INFINITY /* float constant which overflows */
96#else
97#define INFINITY HUGE_VALF /* positive infinity */
98#endif /* __INFINITY */
99
100/* 7.12#5 NAN: a quiet NaN, if supported */
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101#ifdef __MATH_BUILTIN_CONSTANTS
102#define NAN __builtin_nan("")
103#elif defined(__HAVE_NANF)
18e9dc33 104extern const union __float_u __nanf;
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105#define NAN __nanf.__val
106#endif /* __HAVE_NANF */
107
108/* 7.12#6 number classification macros */
109#define FP_INFINITE 0x00
110#define FP_NAN 0x01
111#define FP_NORMAL 0x02
112#define FP_SUBNORMAL 0x03
113#define FP_ZERO 0x04
114/* NetBSD extensions */
115#define _FP_LOMD 0x80 /* range for machine-specific classes */
116#define _FP_HIMD 0xff
117
118#endif /* ISO C99 */
119
120/*
121 * XOPEN/SVID
122 */
123#if __XSI_VISIBLE > 0
124#define M_E 2.7182818284590452354 /* e */
125#define M_LOG2E 1.4426950408889634074 /* log 2e */
126#define M_LOG10E 0.43429448190325182765 /* log 10e */
127#define M_LN2 0.69314718055994530942 /* log e2 */
128#define M_LN10 2.30258509299404568402 /* log e10 */
129#define M_PI 3.14159265358979323846 /* pi */
130#define M_PI_2 1.57079632679489661923 /* pi/2 */
131#define M_PI_4 0.78539816339744830962 /* pi/4 */
132#define M_1_PI 0.31830988618379067154 /* 1/pi */
133#define M_2_PI 0.63661977236758134308 /* 2/pi */
134#define M_2_SQRTPI 1.12837916709551257390 /* 2/sqrt(pi) */
135#define M_SQRT2 1.41421356237309504880 /* sqrt(2) */
136#define M_SQRT1_2 0.70710678118654752440 /* 1/sqrt(2) */
137
138#define MAXFLOAT ((float)3.40282346638528860e+38)
139extern int signgam;
140#endif /* _XSI_VISIBLE */
141
142#if __DF_VISIBLE
143#define HUGE MAXFLOAT
144
145/*
146 * set X_TLOSS = pi*2**52, which is possibly defined in <values.h>
147 * (one may replace the following line by "#include <values.h>")
148 */
149
150#define X_TLOSS 1.41484755040568800000e+16
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 /* __DF_VISIBLE */
160
161__BEGIN_DECLS
162/*
163 * ANSI/POSIX
164 */
165double acos(double);
166double asin(double);
167double atan(double);
168double atan2(double, double);
169double cos(double);
170double sin(double);
171double tan(double);
172
173double cosh(double);
174double sinh(double);
175double tanh(double);
176
177double exp(double);
178double frexp(double, int *);
179double ldexp(double, int);
180double log(double);
54f91c64 181double log2(double);
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182double log10(double);
183double modf(double, double *);
184
185double pow(double, double);
186double sqrt(double);
187
188double ceil(double);
189double fabs(double);
190double floor(double);
191double fmod(double, double);
192
193#if __XSI_VISIBLE > 0
194double erf(double);
195double erfc(double);
196double gamma(double);
197double hypot(double, double);
198int finite(double);
199double j0(double);
200double j1(double);
201double jn(int, double);
202double lgamma(double);
203double y0(double);
204double y1(double);
205double yn(int, double);
206#endif /* __XSI_VISIBLE */
207
208#if __XSI_VISIBLE >= 500
209double acosh(double);
210double asinh(double);
211double atanh(double);
212double cbrt(double);
213double expm1(double);
214int ilogb(double);
215double log1p(double);
216double logb(double);
217double nextafter(double, double);
218double remainder(double, double);
219double rint(double);
220double scalb(double, double);
221#endif /* __XSI_VISIBLE >= 500 */
222
223/*
224 * ISO C99
225 */
226#if __ISO_C_VISIBLE >= 1999
227/* 7.12.3.1 int fpclassify(real-floating x) */
228#define fpclassify(__x) __fpmacro_unary_floating(fpclassify, __x)
229
230/* 7.12.3.2 int isfinite(real-floating x) */
231#define isfinite(__x) __fpmacro_unary_floating(isfinite, __x)
232
233/* 7.12.3.5 int isnormal(real-floating x) */
234#define isnormal(__x) (fpclassify(__x) == FP_NORMAL)
235
236/* 7.12.3.6 int signbit(real-floating x) */
237#define signbit(__x) __fpmacro_unary_floating(signbit, __x)
238
239/* 7.12.4 trigonometric */
240
241float acosf(float);
242float asinf(float);
243float atanf(float);
244float atan2f(float, float);
245float cosf(float);
246float sinf(float);
247float tanf(float);
248
249/* 7.12.5 hyperbolic */
250
251float acoshf(float);
252float asinhf(float);
253float atanhf(float);
254float coshf(float);
255float sinhf(float);
256float tanhf(float);
257
258/* 7.12.6 exp / log */
259
260float expf(float);
261float expm1f(float);
262float frexpf(float, int *);
263int ilogbf(float);
264float ldexpf(float, int);
265float logf(float);
54f91c64 266float log2f(float);
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267float log10f(float);
268float log1pf(float);
269float logbf(float);
270float modff(float, float *);
271float scalbnf(float, int);
272
273/* 7.12.7 power / absolute */
274
275float cbrtf(float);
276float fabsf(float);
277float hypotf(float, float);
278float powf(float, float);
279float sqrtf(float);
280
281/* 7.12.8 error / gamma */
282
283float erff(float);
284float erfcf(float);
285float lgammaf(float);
286
287/* 7.12.9 nearest integer */
288
289float ceilf(float);
290float floorf(float);
291float rintf(float);
292double round(double);
293float roundf(float);
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294double trunc(double);
295float truncf(float);
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296long int lrint(double);
297long int lrintf(float);
298/* LONGLONG */
299long long int llrint(double);
300/* LONGLONG */
301long long int llrintf(float);
302long int lround(double);
303long int lroundf(float);
304/* LONGLONG */
305long long int llround(double);
306/* LONGLONG */
307long long int llroundf(float);
308
309/* 7.12.10 remainder */
310
311float fmodf(float, float);
312float remainderf(float, float);
313
18e9dc33 314/* 7.12.11 manipulation */
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315
316float copysignf(float, float);
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317double nan(const char *);
318float nanf(const char *);
319long double nanl(const char *);
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320float nextafterf(float, float);
321
322#endif /* __ISO_C_VISIBLE >= 1999 */
323
324#if __ISO_C_VISIBLE >= 1999
325/* 7.12.3.3 int isinf(real-floating x) */
326#ifdef __isinf
327#define isinf(__x) __isinf(__x)
328#else
329#define isinf(__x) __fpmacro_unary_floating(isinf, __x)
330#endif
331
332/* 7.12.3.4 int isnan(real-floating x) */
333#ifdef __isnan
334#define isnan(__x) __isnan(__x)
335#else
336#define isnan(__x) __fpmacro_unary_floating(isnan, __x)
337#endif
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338
339/* 7.12.14 Comparision macros */
340#ifdef __MATH_BUILTIN_RELOPS
341#define isgreater(x, y) __builtin_isgreater((x), (y))
342#define isgreaterequal(x, y) __builtin_isgreaterequal((x), (y))
343#define isless(x, y) __builtin_isless((x), (y))
344#define islessequal(x, y) __builtin_islessequal((x), (y))
345#define islessgreater(x, y) __builtin_islessgreater((x), (y))
346#define isunordered(x, y) __builtin_isunordered((x), (y))
347#else
348#define isgreater(x, y) (!isunordered((x), (y)) && (x) > (y))
349#define isgreaterequal(x, y) (!isunordered((x), (y)) && (x) >= (y))
350#define isless(x, y) (!isunordered((x), (y)) && (x) < (y))
351#define islessequal(x, y) (!isunordered((x), (y)) && (x) <= (y))
352#define islessgreater(x, y) (!isunordered((x), (y)) && \
353 ((x) > (y) || (y) > (x)))
354#define isunordered(x, y) (isnan(x) || isnan(y))
355#endif /* __MATH_BUILTIN_RELOPS */
356
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357#endif /* __ISO_C_VISIBLE >= 1999 */
358
359#if __DF_VISIBLE
360/*
361 * IEEE Test Vector
362 */
363double significand(double);
364
365/*
366 * Functions callable from C, intended to support IEEE arithmetic.
367 */
368double copysign(double, double);
369double scalbn(double, int);
370
371/*
372 * BSD math library entry points
373 */
374double drem(double, double);
375
376/*
377 * Reentrant version of gamma & lgamma; passes signgam back by reference
378 * as the second argument; user must allocate space for signgam.
379 */
380double gamma_r(double, int *);
381double lgamma_r(double, int *);
382#endif /* __DF_VISIBLE */
383
384
385#if __DF_VISIBLE
386
387/* float versions of ANSI/POSIX functions */
388
389float gammaf(float);
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390int finitef(float);
391float j0f(float);
392float j1f(float);
393float jnf(int, float);
394float y0f(float);
395float y1f(float);
396float ynf(int, float);
397
398float scalbf(float, float);
399
400/*
401 * float version of IEEE Test Vector
402 */
403float significandf(float);
404
405/*
406 * float versions of BSD math library entry points
407 */
408float dremf(float, float);
409
410/*
411 * Float versions of reentrant version of gamma & lgamma; passes
412 * signgam back by reference as the second argument; user must
413 * allocate space for signgam.
414 */
415float gammaf_r(float, int *);
416float lgammaf_r(float, int *);
417#endif /* __DF_VISIBLE */
418
419/*
420 * Library implementation
421 */
422int __fpclassifyf(float);
423int __fpclassifyd(double);
424int __isfinitef(float);
425int __isfinited(double);
426int __isinff(float);
427int __isinfd(double);
428int __isnanf(float);
429int __isnand(double);
430int __signbitf(float);
431int __signbitd(double);
432
433#ifdef __HAVE_LONG_DOUBLE
434int __fpclassifyl(long double);
435int __isfinitel(long double);
436int __isinfl(long double);
437int __isnanl(long double);
438int __signbitl(long double);
439#endif
440__END_DECLS
441
442#endif /* _MATH_H_ */