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/*
13 * from: @(#)fdlibm.h 5.1 93/09/24
14 * $FreeBSD: head/lib/msun/src/math.h 110734 2003-02-11 21:56:21Z mike $
15 */
16
17#ifndef _MATH_H_
18#define _MATH_H_
19
20#include <sys/_types.h>
21
22/*
23 * ANSI/POSIX
24 */
25extern const union __infinity_un {
26 unsigned char __uc[8];
27 double __ud;
28} __infinity;
29
30extern const union __nan_un {
31 unsigned char __uc[sizeof(float)];
32 float __uf;
33} __nan;
34
35#define FP_ILOGB0 (-0x7fffffff - 1) /* INT_MIN */
36#define FP_ILOGBNAN 0x7fffffff /* INT_MAX */
37#define HUGE_VAL (__infinity.__ud)
38#define HUGE_VALF (float)HUGE_VAL
39#define HUGE_VALL (long double)HUGE_VAL
40#define INFINITY HUGE_VALF
41#define NAN (__nan.__uf)
42
43/* Symbolic constants to classify floating point numbers. */
44#define FP_INFINITE 1
45#define FP_NAN 2
46#define FP_NORMAL 3
47#define FP_SUBNORMAL 4
48#define FP_ZERO 5
49#define fpclassify(x) \
50 ((sizeof (x) == sizeof (float)) ? __fpclassifyf(x) \
51 : (sizeof (x) == sizeof (double)) ? __fpclassifyd(x) \
52 : __fpclassifyl(x))
53#define signbit(x) __signbit(x)
54
55typedef __double_t double_t;
56typedef __float_t float_t;
57
58/*
59 * XOPEN/SVID
60 */
61#if !defined(_ANSI_SOURCE) && !defined(_POSIX_SOURCE)
62#define M_E 2.7182818284590452354 /* e */
63#define M_LOG2E 1.4426950408889634074 /* log 2e */
64#define M_LOG10E 0.43429448190325182765 /* log 10e */
65#define M_LN2 0.69314718055994530942 /* log e2 */
66#define M_LN10 2.30258509299404568402 /* log e10 */
67#define M_PI 3.14159265358979323846 /* pi */
68#define M_PI_2 1.57079632679489661923 /* pi/2 */
69#define M_PI_4 0.78539816339744830962 /* pi/4 */
70#define M_1_PI 0.31830988618379067154 /* 1/pi */
71#define M_2_PI 0.63661977236758134308 /* 2/pi */
72#define M_2_SQRTPI 1.12837916709551257390 /* 2/sqrt(pi) */
73#define M_SQRT2 1.41421356237309504880 /* sqrt(2) */
74#define M_SQRT1_2 0.70710678118654752440 /* 1/sqrt(2) */
75
76#define MAXFLOAT ((float)3.40282346638528860e+38)
77extern int signgam;
78
79#if !defined(_XOPEN_SOURCE)
80enum fdversion {fdlibm_ieee = -1, fdlibm_svid, fdlibm_xopen, fdlibm_posix};
81
82#define _LIB_VERSION_TYPE enum fdversion
83#define _LIB_VERSION _fdlib_version
84
85/* if global variable _LIB_VERSION is not desirable, one may
86 * change the following to be a constant by:
87 * #define _LIB_VERSION_TYPE const enum version
88 * In that case, after one initializes the value _LIB_VERSION (see
89 * s_lib_version.c) during compile time, it cannot be modified
90 * in the middle of a program
91 */
92extern _LIB_VERSION_TYPE _LIB_VERSION;
93
94#define _IEEE_ fdlibm_ieee
95#define _SVID_ fdlibm_svid
96#define _XOPEN_ fdlibm_xopen
97#define _POSIX_ fdlibm_posix
98
99/* We have a problem when using C++ since `exception' is a reserved
100 name in C++. */
101#ifndef __cplusplus
102struct exception {
103 int type;
104 char *name;
105 double arg1;
106 double arg2;
107 double retval;
108};
109#endif
110
111#if 0
112/* Old value from 4.4BSD-Lite math.h; this is probably better. */
113#define HUGE HUGE_VAL
114#else
115#define HUGE MAXFLOAT
116#endif
117
118/*
119 * set X_TLOSS = pi*2**52, which is possibly defined in <values.h>
120 * (one may replace the following line by "#include <values.h>")
121 */
122
123#define X_TLOSS 1.41484755040568800000e+16
124
125#define DOMAIN 1
126#define SING 2
127#define OVERFLOW 3
128#define UNDERFLOW 4
129#define TLOSS 5
130#define PLOSS 6
131
132#endif /* !_XOPEN_SOURCE */
133#endif /* !_ANSI_SOURCE && !_POSIX_SOURCE */
134
135#include <sys/cdefs.h>
136
137/*
138 * Most of these functions have the side effect of setting errno, so they
139 * are not declared as __pure2. (XXX: this point needs to be revisited,
140 * since C99 doesn't require the mistake of setting errno, and we mostly
141 * don't set it anyway. In C99, pragmas and functions for changing the
142 * rounding mode affect the purity of these functions.)
143 */
144__BEGIN_DECLS
145/*
146 * ANSI/POSIX
147 */
148int __fpclassifyd(double);
149int __fpclassifyf(float);
150int __fpclassifyl(long double);
151int __signbit(double);
152
153double acos(double);
154double asin(double);
155double atan(double);
156double atan2(double, double);
157double cos(double);
158double sin(double);
159double tan(double);
160
161double cosh(double);
162double sinh(double);
163double tanh(double);
164
165double exp(double);
166double frexp(double, int *); /* fundamentally !__pure2 */
167double ldexp(double, int);
168double log(double);
169double log10(double);
170double modf(double, double *); /* fundamentally !__pure2 */
171
172double pow(double, double);
173double sqrt(double);
174
175double ceil(double);
176double fabs(double);
177double floor(double);
178double fmod(double, double);
179
180/*
181 * These functions are not in C90 so they can be "right". The ones that
182 * never set errno in lib/msun are declared as __pure2.
183 */
184#if !defined(_ANSI_SOURCE) && !defined(_POSIX_SOURCE)
185double erf(double);
186double erfc(double) __pure2;
187int finite(double) __pure2;
188double gamma(double);
189double hypot(double, double);
190int isinf(double) __pure2;
191int isnan(double) __pure2;
192double j0(double);
193double j1(double);
194double jn(int, double);
195double lgamma(double);
196double y0(double);
197double y1(double);
198double yn(int, double);
199
200#if !defined(_XOPEN_SOURCE)
201double acosh(double);
202double asinh(double);
203double atanh(double);
204double cbrt(double) __pure2;
205double logb(double) __pure2;
206double nextafter(double, double);
207double remainder(double, double);
208double scalb(double, double);
209double tgamma(double);
210
211#ifndef __cplusplus
212int matherr(struct exception *);
213#endif
214
215/*
216 * IEEE Test Vector
217 */
218double significand(double);
219
220/*
221 * Functions callable from C, intended to support IEEE arithmetic.
222 */
223double copysign(double, double) __pure2;
224int ilogb(double);
225double rint(double) __pure2;
226double scalbn(double, int);
227
228/*
229 * BSD math library entry points
230 */
231double drem(double, double);
232double expm1(double) __pure2;
233double log1p(double) __pure2;
234
235/*
236 * Reentrant version of gamma & lgamma; passes signgam back by reference
237 * as the second argument; user must allocate space for signgam.
238 */
239#ifdef _REENTRANT
240double gamma_r(double, int *);
241double lgamma_r(double, int *);
242#endif /* _REENTRANT */
243
244/* float versions of ANSI/POSIX functions */
245float acosf(float);
246float asinf(float);
247float atanf(float);
248float atan2f(float, float);
249float cosf(float);
250float sinf(float);
251float tanf(float);
252
253float coshf(float);
254float sinhf(float);
255float tanhf(float);
256
257float expf(float);
258float frexpf(float, int *); /* fundamentally !__pure2 */
259float ldexpf(float, int);
260float logf(float);
261float log10f(float);
262float modff(float, float *); /* fundamentally !__pure2 */
263
264float powf(float, float);
265float sqrtf(float);
266
267float ceilf(float);
268float fabsf(float);
269float floorf(float);
270float fmodf(float, float);
271
272float erff(float);
273float erfcf(float) __pure2;
274int finitef(float) __pure2;
275float gammaf(float);
276float hypotf(float, float) __pure2;
277int isnanf(float) __pure2;
278float j0f(float);
279float j1f(float);
280float jnf(int, float);
281float lgammaf(float);
282float y0f(float);
283float y1f(float);
284float ynf(int, float);
285
286float acoshf(float);
287float asinhf(float);
288float atanhf(float);
289float cbrtf(float) __pure2;
290float logbf(float) __pure2;
291float nextafterf(float, float);
292float remainderf(float, float);
293float scalbf(float, float);
294
295/*
296 * float version of IEEE Test Vector
297 */
298float significandf(float);
299
300/*
301 * Float versions of functions callable from C, intended to support
302 * IEEE arithmetic.
303 */
304float copysignf(float, float) __pure2;
305int ilogbf(float);
306float rintf(float);
307float scalbnf(float, int);
308
309/*
310 * float versions of BSD math library entry points
311 */
312float dremf(float, float);
313float expm1f(float) __pure2;
314float log1pf(float) __pure2;
315
316/*
317 * Float versions of reentrant version of gamma & lgamma; passes
318 * signgam back by reference as the second argument; user must
319 * allocate space for signgam.
320 */
321#ifdef _REENTRANT
322float gammaf_r(float, int *);
323float lgammaf_r(float, int *);
324#endif /* _REENTRANT */
325
326#endif /* !_XOPEN_SOURCE */
327#endif /* !_ANSI_SOURCE && !_POSIX_SOURCE */
328__END_DECLS
329
330#endif /* !_MATH_H_ */
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/*
13 * from: @(#)fdlibm.h 5.1 93/09/24
14 * $FreeBSD: head/lib/msun/src/math.h 110734 2003-02-11 21:56:21Z mike $
15 */
16
17#ifndef _MATH_H_
18#define _MATH_H_
19
20#include <sys/_types.h>
21
22/*
23 * ANSI/POSIX
24 */
25extern const union __infinity_un {
26 unsigned char __uc[8];
27 double __ud;
28} __infinity;
29
30extern const union __nan_un {
31 unsigned char __uc[sizeof(float)];
32 float __uf;
33} __nan;
34
35#define FP_ILOGB0 (-0x7fffffff - 1) /* INT_MIN */
36#define FP_ILOGBNAN 0x7fffffff /* INT_MAX */
37#define HUGE_VAL (__infinity.__ud)
38#define HUGE_VALF (float)HUGE_VAL
39#define HUGE_VALL (long double)HUGE_VAL
40#define INFINITY HUGE_VALF
41#define NAN (__nan.__uf)
42
43/* Symbolic constants to classify floating point numbers. */
44#define FP_INFINITE 1
45#define FP_NAN 2
46#define FP_NORMAL 3
47#define FP_SUBNORMAL 4
48#define FP_ZERO 5
49#define fpclassify(x) \
50 ((sizeof (x) == sizeof (float)) ? __fpclassifyf(x) \
51 : (sizeof (x) == sizeof (double)) ? __fpclassifyd(x) \
52 : __fpclassifyl(x))
53#define signbit(x) __signbit(x)
54
55typedef __double_t double_t;
56typedef __float_t float_t;
57
58/*
59 * XOPEN/SVID
60 */
61#if !defined(_ANSI_SOURCE) && !defined(_POSIX_SOURCE)
62#define M_E 2.7182818284590452354 /* e */
63#define M_LOG2E 1.4426950408889634074 /* log 2e */
64#define M_LOG10E 0.43429448190325182765 /* log 10e */
65#define M_LN2 0.69314718055994530942 /* log e2 */
66#define M_LN10 2.30258509299404568402 /* log e10 */
67#define M_PI 3.14159265358979323846 /* pi */
68#define M_PI_2 1.57079632679489661923 /* pi/2 */
69#define M_PI_4 0.78539816339744830962 /* pi/4 */
70#define M_1_PI 0.31830988618379067154 /* 1/pi */
71#define M_2_PI 0.63661977236758134308 /* 2/pi */
72#define M_2_SQRTPI 1.12837916709551257390 /* 2/sqrt(pi) */
73#define M_SQRT2 1.41421356237309504880 /* sqrt(2) */
74#define M_SQRT1_2 0.70710678118654752440 /* 1/sqrt(2) */
75
76#define MAXFLOAT ((float)3.40282346638528860e+38)
77extern int signgam;
78
79#if !defined(_XOPEN_SOURCE)
80enum fdversion {fdlibm_ieee = -1, fdlibm_svid, fdlibm_xopen, fdlibm_posix};
81
82#define _LIB_VERSION_TYPE enum fdversion
83#define _LIB_VERSION _fdlib_version
84
85/* if global variable _LIB_VERSION is not desirable, one may
86 * change the following to be a constant by:
87 * #define _LIB_VERSION_TYPE const enum version
88 * In that case, after one initializes the value _LIB_VERSION (see
89 * s_lib_version.c) during compile time, it cannot be modified
90 * in the middle of a program
91 */
92extern _LIB_VERSION_TYPE _LIB_VERSION;
93
94#define _IEEE_ fdlibm_ieee
95#define _SVID_ fdlibm_svid
96#define _XOPEN_ fdlibm_xopen
97#define _POSIX_ fdlibm_posix
98
99/* We have a problem when using C++ since `exception' is a reserved
100 name in C++. */
101#ifndef __cplusplus
102struct exception {
103 int type;
104 char *name;
105 double arg1;
106 double arg2;
107 double retval;
108};
109#endif
110
111#if 0
112/* Old value from 4.4BSD-Lite math.h; this is probably better. */
113#define HUGE HUGE_VAL
114#else
115#define HUGE MAXFLOAT
116#endif
117
118/*
119 * set X_TLOSS = pi*2**52, which is possibly defined in <values.h>
120 * (one may replace the following line by "#include <values.h>")
121 */
122
123#define X_TLOSS 1.41484755040568800000e+16
124
125#define DOMAIN 1
126#define SING 2
127#define OVERFLOW 3
128#define UNDERFLOW 4
129#define TLOSS 5
130#define PLOSS 6
131
132#endif /* !_XOPEN_SOURCE */
133#endif /* !_ANSI_SOURCE && !_POSIX_SOURCE */
134
135#include <sys/cdefs.h>
136
137/*
138 * Most of these functions have the side effect of setting errno, so they
139 * are not declared as __pure2. (XXX: this point needs to be revisited,
140 * since C99 doesn't require the mistake of setting errno, and we mostly
141 * don't set it anyway. In C99, pragmas and functions for changing the
142 * rounding mode affect the purity of these functions.)
143 */
144__BEGIN_DECLS
145/*
146 * ANSI/POSIX
147 */
148int __fpclassifyd(double);
149int __fpclassifyf(float);
150int __fpclassifyl(long double);
151int __signbit(double);
152
153double acos(double);
154double asin(double);
155double atan(double);
156double atan2(double, double);
157double cos(double);
158double sin(double);
159double tan(double);
160
161double cosh(double);
162double sinh(double);
163double tanh(double);
164
165double exp(double);
166double frexp(double, int *); /* fundamentally !__pure2 */
167double ldexp(double, int);
168double log(double);
169double log10(double);
170double modf(double, double *); /* fundamentally !__pure2 */
171
172double pow(double, double);
173double sqrt(double);
174
175double ceil(double);
176double fabs(double);
177double floor(double);
178double fmod(double, double);
179
180/*
181 * These functions are not in C90 so they can be "right". The ones that
182 * never set errno in lib/msun are declared as __pure2.
183 */
184#if !defined(_ANSI_SOURCE) && !defined(_POSIX_SOURCE)
185double erf(double);
186double erfc(double) __pure2;
187int finite(double) __pure2;
188double gamma(double);
189double hypot(double, double);
190int isinf(double) __pure2;
191int isnan(double) __pure2;
192double j0(double);
193double j1(double);
194double jn(int, double);
195double lgamma(double);
196double y0(double);
197double y1(double);
198double yn(int, double);
199
200#if !defined(_XOPEN_SOURCE)
201double acosh(double);
202double asinh(double);
203double atanh(double);
204double cbrt(double) __pure2;
205double logb(double) __pure2;
206double nextafter(double, double);
207double remainder(double, double);
208double scalb(double, double);
209double tgamma(double);
210
211#ifndef __cplusplus
212int matherr(struct exception *);
213#endif
214
215/*
216 * IEEE Test Vector
217 */
218double significand(double);
219
220/*
221 * Functions callable from C, intended to support IEEE arithmetic.
222 */
223double copysign(double, double) __pure2;
224int ilogb(double);
225double rint(double) __pure2;
226double scalbn(double, int);
227
228/*
229 * BSD math library entry points
230 */
231double drem(double, double);
232double expm1(double) __pure2;
233double log1p(double) __pure2;
234
235/*
236 * Reentrant version of gamma & lgamma; passes signgam back by reference
237 * as the second argument; user must allocate space for signgam.
238 */
239#ifdef _REENTRANT
240double gamma_r(double, int *);
241double lgamma_r(double, int *);
242#endif /* _REENTRANT */
243
244/* float versions of ANSI/POSIX functions */
245float acosf(float);
246float asinf(float);
247float atanf(float);
248float atan2f(float, float);
249float cosf(float);
250float sinf(float);
251float tanf(float);
252
253float coshf(float);
254float sinhf(float);
255float tanhf(float);
256
257float expf(float);
258float frexpf(float, int *); /* fundamentally !__pure2 */
259float ldexpf(float, int);
260float logf(float);
261float log10f(float);
262float modff(float, float *); /* fundamentally !__pure2 */
263
264float powf(float, float);
265float sqrtf(float);
266
267float ceilf(float);
268float fabsf(float);
269float floorf(float);
270float fmodf(float, float);
271
272float erff(float);
273float erfcf(float) __pure2;
274int finitef(float) __pure2;
275float gammaf(float);
276float hypotf(float, float) __pure2;
277int isnanf(float) __pure2;
278float j0f(float);
279float j1f(float);
280float jnf(int, float);
281float lgammaf(float);
282float y0f(float);
283float y1f(float);
284float ynf(int, float);
285
286float acoshf(float);
287float asinhf(float);
288float atanhf(float);
289float cbrtf(float) __pure2;
290float logbf(float) __pure2;
291float nextafterf(float, float);
292float remainderf(float, float);
293float scalbf(float, float);
294
295/*
296 * float version of IEEE Test Vector
297 */
298float significandf(float);
299
300/*
301 * Float versions of functions callable from C, intended to support
302 * IEEE arithmetic.
303 */
304float copysignf(float, float) __pure2;
305int ilogbf(float);
306float rintf(float);
307float scalbnf(float, int);
308
309/*
310 * float versions of BSD math library entry points
311 */
312float dremf(float, float);
313float expm1f(float) __pure2;
314float log1pf(float) __pure2;
315
316/*
317 * Float versions of reentrant version of gamma & lgamma; passes
318 * signgam back by reference as the second argument; user must
319 * allocate space for signgam.
320 */
321#ifdef _REENTRANT
322float gammaf_r(float, int *);
323float lgammaf_r(float, int *);
324#endif /* _REENTRANT */
325
326#endif /* !_XOPEN_SOURCE */
327#endif /* !_ANSI_SOURCE && !_POSIX_SOURCE */
328__END_DECLS
329
330#endif /* !_MATH_H_ */