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math.h (236148) math.h (238722)
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
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 236148 2012-05-27 12:54:41Z theraven $
14 * $FreeBSD: head/lib/msun/src/math.h 238722 2012-07-23 19:13:55Z kargl $
15 */
16
17#ifndef _MATH_H_
18#define _MATH_H_
19
20#include <sys/cdefs.h>
21#include <sys/_types.h>
22#include <machine/_limits.h>
23
24/*
25 * ANSI/POSIX
26 */
27extern const union __infinity_un {
28 unsigned char __uc[8];
29 double __ud;
30} __infinity;
31
32extern const union __nan_un {
33 unsigned char __uc[sizeof(float)];
34 float __uf;
35} __nan;
36
37#if __GNUC_PREREQ__(3, 3) || (defined(__INTEL_COMPILER) && __INTEL_COMPILER >= 800)
38#define __MATH_BUILTIN_CONSTANTS
39#endif
40
41#if __GNUC_PREREQ__(3, 0) && !defined(__INTEL_COMPILER)
42#define __MATH_BUILTIN_RELOPS
43#endif
44
45#ifdef __MATH_BUILTIN_CONSTANTS
46#define HUGE_VAL __builtin_huge_val()
47#else
48#define HUGE_VAL (__infinity.__ud)
49#endif
50
51#if __ISO_C_VISIBLE >= 1999
52#define FP_ILOGB0 (-__INT_MAX)
53#define FP_ILOGBNAN __INT_MAX
54
55#ifdef __MATH_BUILTIN_CONSTANTS
56#define HUGE_VALF __builtin_huge_valf()
57#define HUGE_VALL __builtin_huge_vall()
58#define INFINITY __builtin_inff()
59#define NAN __builtin_nanf("")
60#else
61#define HUGE_VALF (float)HUGE_VAL
62#define HUGE_VALL (long double)HUGE_VAL
63#define INFINITY HUGE_VALF
64#define NAN (__nan.__uf)
65#endif /* __MATH_BUILTIN_CONSTANTS */
66
67#define MATH_ERRNO 1
68#define MATH_ERREXCEPT 2
69#define math_errhandling MATH_ERREXCEPT
70
71#define FP_FAST_FMAF 1
72#ifdef __ia64__
73#define FP_FAST_FMA 1
74#define FP_FAST_FMAL 1
75#endif
76
77/* Symbolic constants to classify floating point numbers. */
78#define FP_INFINITE 0x01
79#define FP_NAN 0x02
80#define FP_NORMAL 0x04
81#define FP_SUBNORMAL 0x08
82#define FP_ZERO 0x10
83#define fpclassify(x) \
84 ((sizeof (x) == sizeof (float)) ? __fpclassifyf(x) \
85 : (sizeof (x) == sizeof (double)) ? __fpclassifyd(x) \
86 : __fpclassifyl(x))
87
88#define isfinite(x) \
89 ((sizeof (x) == sizeof (float)) ? __isfinitef(x) \
90 : (sizeof (x) == sizeof (double)) ? __isfinite(x) \
91 : __isfinitel(x))
92#define isinf(x) \
93 ((sizeof (x) == sizeof (float)) ? __isinff(x) \
94 : (sizeof (x) == sizeof (double)) ? isinf(x) \
95 : __isinfl(x))
96#define isnan(x) \
97 ((sizeof (x) == sizeof (float)) ? __isnanf(x) \
98 : (sizeof (x) == sizeof (double)) ? isnan(x) \
99 : __isnanl(x))
100#define isnormal(x) \
101 ((sizeof (x) == sizeof (float)) ? __isnormalf(x) \
102 : (sizeof (x) == sizeof (double)) ? __isnormal(x) \
103 : __isnormall(x))
104
105#ifdef __MATH_BUILTIN_RELOPS
106#define isgreater(x, y) __builtin_isgreater((x), (y))
107#define isgreaterequal(x, y) __builtin_isgreaterequal((x), (y))
108#define isless(x, y) __builtin_isless((x), (y))
109#define islessequal(x, y) __builtin_islessequal((x), (y))
110#define islessgreater(x, y) __builtin_islessgreater((x), (y))
111#define isunordered(x, y) __builtin_isunordered((x), (y))
112#else
113#define isgreater(x, y) (!isunordered((x), (y)) && (x) > (y))
114#define isgreaterequal(x, y) (!isunordered((x), (y)) && (x) >= (y))
115#define isless(x, y) (!isunordered((x), (y)) && (x) < (y))
116#define islessequal(x, y) (!isunordered((x), (y)) && (x) <= (y))
117#define islessgreater(x, y) (!isunordered((x), (y)) && \
118 ((x) > (y) || (y) > (x)))
119#define isunordered(x, y) (isnan(x) || isnan(y))
120#endif /* __MATH_BUILTIN_RELOPS */
121
122#define signbit(x) \
123 ((sizeof (x) == sizeof (float)) ? __signbitf(x) \
124 : (sizeof (x) == sizeof (double)) ? __signbit(x) \
125 : __signbitl(x))
126
127typedef __double_t double_t;
128typedef __float_t float_t;
129#endif /* __ISO_C_VISIBLE >= 1999 */
130
131/*
132 * XOPEN/SVID
133 */
134#if __BSD_VISIBLE || __XSI_VISIBLE
135#define M_E 2.7182818284590452354 /* e */
136#define M_LOG2E 1.4426950408889634074 /* log 2e */
137#define M_LOG10E 0.43429448190325182765 /* log 10e */
138#define M_LN2 0.69314718055994530942 /* log e2 */
139#define M_LN10 2.30258509299404568402 /* log e10 */
140#define M_PI 3.14159265358979323846 /* pi */
141#define M_PI_2 1.57079632679489661923 /* pi/2 */
142#define M_PI_4 0.78539816339744830962 /* pi/4 */
143#define M_1_PI 0.31830988618379067154 /* 1/pi */
144#define M_2_PI 0.63661977236758134308 /* 2/pi */
145#define M_2_SQRTPI 1.12837916709551257390 /* 2/sqrt(pi) */
146#define M_SQRT2 1.41421356237309504880 /* sqrt(2) */
147#define M_SQRT1_2 0.70710678118654752440 /* 1/sqrt(2) */
148
149#define MAXFLOAT ((float)3.40282346638528860e+38)
150extern int signgam;
151#endif /* __BSD_VISIBLE || __XSI_VISIBLE */
152
153#if __BSD_VISIBLE
154#if 0
155/* Old value from 4.4BSD-Lite math.h; this is probably better. */
156#define HUGE HUGE_VAL
157#else
158#define HUGE MAXFLOAT
159#endif
160#endif /* __BSD_VISIBLE */
161
162/*
163 * Most of these functions depend on the rounding mode and have the side
164 * effect of raising floating-point exceptions, so they are not declared
165 * as __pure2. In C99, FENV_ACCESS affects the purity of these functions.
166 */
167__BEGIN_DECLS
168/*
169 * ANSI/POSIX
170 */
171int __fpclassifyd(double) __pure2;
172int __fpclassifyf(float) __pure2;
173int __fpclassifyl(long double) __pure2;
174int __isfinitef(float) __pure2;
175int __isfinite(double) __pure2;
176int __isfinitel(long double) __pure2;
177int __isinff(float) __pure2;
178int __isinfl(long double) __pure2;
179int __isnanf(float) __pure2;
180int __isnanl(long double) __pure2;
181int __isnormalf(float) __pure2;
182int __isnormal(double) __pure2;
183int __isnormall(long double) __pure2;
184int __signbit(double) __pure2;
185int __signbitf(float) __pure2;
186int __signbitl(long double) __pure2;
187
188double acos(double);
189double asin(double);
190double atan(double);
191double atan2(double, double);
192double cos(double);
193double sin(double);
194double tan(double);
195
196double cosh(double);
197double sinh(double);
198double tanh(double);
199
200double exp(double);
201double frexp(double, int *); /* fundamentally !__pure2 */
202double ldexp(double, int);
203double log(double);
204double log10(double);
205double modf(double, double *); /* fundamentally !__pure2 */
206
207double pow(double, double);
208double sqrt(double);
209
210double ceil(double);
211double fabs(double) __pure2;
212double floor(double);
213double fmod(double, double);
214
215/*
216 * These functions are not in C90.
217 */
218#if __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XSI_VISIBLE
219double acosh(double);
220double asinh(double);
221double atanh(double);
222double cbrt(double);
223double erf(double);
224double erfc(double);
225double exp2(double);
226double expm1(double);
227double fma(double, double, double);
228double hypot(double, double);
229int ilogb(double) __pure2;
230int (isinf)(double) __pure2;
231int (isnan)(double) __pure2;
232double lgamma(double);
233long long llrint(double);
234long long llround(double);
235double log1p(double);
236double log2(double);
237double logb(double);
238long lrint(double);
239long lround(double);
240double nan(const char *) __pure2;
241double nextafter(double, double);
242double remainder(double, double);
243double remquo(double, double, int *);
244double rint(double);
245#endif /* __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XSI_VISIBLE */
246
247#if __BSD_VISIBLE || __XSI_VISIBLE
248double j0(double);
249double j1(double);
250double jn(int, double);
251double y0(double);
252double y1(double);
253double yn(int, double);
254
255#if __XSI_VISIBLE <= 500 || __BSD_VISIBLE
256double gamma(double);
257#endif
258
259#if __XSI_VISIBLE <= 600 || __BSD_VISIBLE
260double scalb(double, double);
261#endif
262#endif /* __BSD_VISIBLE || __XSI_VISIBLE */
263
264#if __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999
265double copysign(double, double) __pure2;
266double fdim(double, double);
267double fmax(double, double) __pure2;
268double fmin(double, double) __pure2;
269double nearbyint(double);
270double round(double);
271double scalbln(double, long);
272double scalbn(double, int);
273double tgamma(double);
274double trunc(double);
275#endif
276
277/*
278 * BSD math library entry points
279 */
280#if __BSD_VISIBLE
281double drem(double, double);
282int finite(double) __pure2;
283int isnanf(float) __pure2;
284
285/*
286 * Reentrant version of gamma & lgamma; passes signgam back by reference
287 * as the second argument; user must allocate space for signgam.
288 */
289double gamma_r(double, int *);
290double lgamma_r(double, int *);
291
292/*
293 * IEEE Test Vector
294 */
295double significand(double);
296#endif /* __BSD_VISIBLE */
297
298/* float versions of ANSI/POSIX functions */
299#if __ISO_C_VISIBLE >= 1999
300float acosf(float);
301float asinf(float);
302float atanf(float);
303float atan2f(float, float);
304float cosf(float);
305float sinf(float);
306float tanf(float);
307
308float coshf(float);
309float sinhf(float);
310float tanhf(float);
311
312float exp2f(float);
313float expf(float);
314float expm1f(float);
315float frexpf(float, int *); /* fundamentally !__pure2 */
316int ilogbf(float) __pure2;
317float ldexpf(float, int);
318float log10f(float);
319float log1pf(float);
320float log2f(float);
321float logf(float);
322float modff(float, float *); /* fundamentally !__pure2 */
323
324float powf(float, float);
325float sqrtf(float);
326
327float ceilf(float);
328float fabsf(float) __pure2;
329float floorf(float);
330float fmodf(float, float);
331float roundf(float);
332
333float erff(float);
334float erfcf(float);
335float hypotf(float, float);
336float lgammaf(float);
337float tgammaf(float);
338
339float acoshf(float);
340float asinhf(float);
341float atanhf(float);
342float cbrtf(float);
343float logbf(float);
344float copysignf(float, float) __pure2;
345long long llrintf(float);
346long long llroundf(float);
347long lrintf(float);
348long lroundf(float);
349float nanf(const char *) __pure2;
350float nearbyintf(float);
351float nextafterf(float, float);
352float remainderf(float, float);
353float remquof(float, float, int *);
354float rintf(float);
355float scalblnf(float, long);
356float scalbnf(float, int);
357float truncf(float);
358
359float fdimf(float, float);
360float fmaf(float, float, float);
361float fmaxf(float, float) __pure2;
362float fminf(float, float) __pure2;
363#endif
364
365/*
366 * float versions of BSD math library entry points
367 */
368#if __BSD_VISIBLE
369float dremf(float, float);
370int finitef(float) __pure2;
371float gammaf(float);
372float j0f(float);
373float j1f(float);
374float jnf(int, float);
375float scalbf(float, float);
376float y0f(float);
377float y1f(float);
378float ynf(int, float);
379
380/*
381 * Float versions of reentrant version of gamma & lgamma; passes
382 * signgam back by reference as the second argument; user must
383 * allocate space for signgam.
384 */
385float gammaf_r(float, int *);
386float lgammaf_r(float, int *);
387
388/*
389 * float version of IEEE Test Vector
390 */
391float significandf(float);
392#endif /* __BSD_VISIBLE */
393
394/*
395 * long double versions of ISO/POSIX math functions
396 */
397#if __ISO_C_VISIBLE >= 1999
398long double acosl(long double);
399long double asinl(long double);
400long double atan2l(long double, long double);
401long double atanl(long double);
402long double cbrtl(long double);
403long double ceill(long double);
404long double copysignl(long double, long double) __pure2;
405long double cosl(long double);
406long double exp2l(long double);
15 */
16
17#ifndef _MATH_H_
18#define _MATH_H_
19
20#include <sys/cdefs.h>
21#include <sys/_types.h>
22#include <machine/_limits.h>
23
24/*
25 * ANSI/POSIX
26 */
27extern const union __infinity_un {
28 unsigned char __uc[8];
29 double __ud;
30} __infinity;
31
32extern const union __nan_un {
33 unsigned char __uc[sizeof(float)];
34 float __uf;
35} __nan;
36
37#if __GNUC_PREREQ__(3, 3) || (defined(__INTEL_COMPILER) && __INTEL_COMPILER >= 800)
38#define __MATH_BUILTIN_CONSTANTS
39#endif
40
41#if __GNUC_PREREQ__(3, 0) && !defined(__INTEL_COMPILER)
42#define __MATH_BUILTIN_RELOPS
43#endif
44
45#ifdef __MATH_BUILTIN_CONSTANTS
46#define HUGE_VAL __builtin_huge_val()
47#else
48#define HUGE_VAL (__infinity.__ud)
49#endif
50
51#if __ISO_C_VISIBLE >= 1999
52#define FP_ILOGB0 (-__INT_MAX)
53#define FP_ILOGBNAN __INT_MAX
54
55#ifdef __MATH_BUILTIN_CONSTANTS
56#define HUGE_VALF __builtin_huge_valf()
57#define HUGE_VALL __builtin_huge_vall()
58#define INFINITY __builtin_inff()
59#define NAN __builtin_nanf("")
60#else
61#define HUGE_VALF (float)HUGE_VAL
62#define HUGE_VALL (long double)HUGE_VAL
63#define INFINITY HUGE_VALF
64#define NAN (__nan.__uf)
65#endif /* __MATH_BUILTIN_CONSTANTS */
66
67#define MATH_ERRNO 1
68#define MATH_ERREXCEPT 2
69#define math_errhandling MATH_ERREXCEPT
70
71#define FP_FAST_FMAF 1
72#ifdef __ia64__
73#define FP_FAST_FMA 1
74#define FP_FAST_FMAL 1
75#endif
76
77/* Symbolic constants to classify floating point numbers. */
78#define FP_INFINITE 0x01
79#define FP_NAN 0x02
80#define FP_NORMAL 0x04
81#define FP_SUBNORMAL 0x08
82#define FP_ZERO 0x10
83#define fpclassify(x) \
84 ((sizeof (x) == sizeof (float)) ? __fpclassifyf(x) \
85 : (sizeof (x) == sizeof (double)) ? __fpclassifyd(x) \
86 : __fpclassifyl(x))
87
88#define isfinite(x) \
89 ((sizeof (x) == sizeof (float)) ? __isfinitef(x) \
90 : (sizeof (x) == sizeof (double)) ? __isfinite(x) \
91 : __isfinitel(x))
92#define isinf(x) \
93 ((sizeof (x) == sizeof (float)) ? __isinff(x) \
94 : (sizeof (x) == sizeof (double)) ? isinf(x) \
95 : __isinfl(x))
96#define isnan(x) \
97 ((sizeof (x) == sizeof (float)) ? __isnanf(x) \
98 : (sizeof (x) == sizeof (double)) ? isnan(x) \
99 : __isnanl(x))
100#define isnormal(x) \
101 ((sizeof (x) == sizeof (float)) ? __isnormalf(x) \
102 : (sizeof (x) == sizeof (double)) ? __isnormal(x) \
103 : __isnormall(x))
104
105#ifdef __MATH_BUILTIN_RELOPS
106#define isgreater(x, y) __builtin_isgreater((x), (y))
107#define isgreaterequal(x, y) __builtin_isgreaterequal((x), (y))
108#define isless(x, y) __builtin_isless((x), (y))
109#define islessequal(x, y) __builtin_islessequal((x), (y))
110#define islessgreater(x, y) __builtin_islessgreater((x), (y))
111#define isunordered(x, y) __builtin_isunordered((x), (y))
112#else
113#define isgreater(x, y) (!isunordered((x), (y)) && (x) > (y))
114#define isgreaterequal(x, y) (!isunordered((x), (y)) && (x) >= (y))
115#define isless(x, y) (!isunordered((x), (y)) && (x) < (y))
116#define islessequal(x, y) (!isunordered((x), (y)) && (x) <= (y))
117#define islessgreater(x, y) (!isunordered((x), (y)) && \
118 ((x) > (y) || (y) > (x)))
119#define isunordered(x, y) (isnan(x) || isnan(y))
120#endif /* __MATH_BUILTIN_RELOPS */
121
122#define signbit(x) \
123 ((sizeof (x) == sizeof (float)) ? __signbitf(x) \
124 : (sizeof (x) == sizeof (double)) ? __signbit(x) \
125 : __signbitl(x))
126
127typedef __double_t double_t;
128typedef __float_t float_t;
129#endif /* __ISO_C_VISIBLE >= 1999 */
130
131/*
132 * XOPEN/SVID
133 */
134#if __BSD_VISIBLE || __XSI_VISIBLE
135#define M_E 2.7182818284590452354 /* e */
136#define M_LOG2E 1.4426950408889634074 /* log 2e */
137#define M_LOG10E 0.43429448190325182765 /* log 10e */
138#define M_LN2 0.69314718055994530942 /* log e2 */
139#define M_LN10 2.30258509299404568402 /* log e10 */
140#define M_PI 3.14159265358979323846 /* pi */
141#define M_PI_2 1.57079632679489661923 /* pi/2 */
142#define M_PI_4 0.78539816339744830962 /* pi/4 */
143#define M_1_PI 0.31830988618379067154 /* 1/pi */
144#define M_2_PI 0.63661977236758134308 /* 2/pi */
145#define M_2_SQRTPI 1.12837916709551257390 /* 2/sqrt(pi) */
146#define M_SQRT2 1.41421356237309504880 /* sqrt(2) */
147#define M_SQRT1_2 0.70710678118654752440 /* 1/sqrt(2) */
148
149#define MAXFLOAT ((float)3.40282346638528860e+38)
150extern int signgam;
151#endif /* __BSD_VISIBLE || __XSI_VISIBLE */
152
153#if __BSD_VISIBLE
154#if 0
155/* Old value from 4.4BSD-Lite math.h; this is probably better. */
156#define HUGE HUGE_VAL
157#else
158#define HUGE MAXFLOAT
159#endif
160#endif /* __BSD_VISIBLE */
161
162/*
163 * Most of these functions depend on the rounding mode and have the side
164 * effect of raising floating-point exceptions, so they are not declared
165 * as __pure2. In C99, FENV_ACCESS affects the purity of these functions.
166 */
167__BEGIN_DECLS
168/*
169 * ANSI/POSIX
170 */
171int __fpclassifyd(double) __pure2;
172int __fpclassifyf(float) __pure2;
173int __fpclassifyl(long double) __pure2;
174int __isfinitef(float) __pure2;
175int __isfinite(double) __pure2;
176int __isfinitel(long double) __pure2;
177int __isinff(float) __pure2;
178int __isinfl(long double) __pure2;
179int __isnanf(float) __pure2;
180int __isnanl(long double) __pure2;
181int __isnormalf(float) __pure2;
182int __isnormal(double) __pure2;
183int __isnormall(long double) __pure2;
184int __signbit(double) __pure2;
185int __signbitf(float) __pure2;
186int __signbitl(long double) __pure2;
187
188double acos(double);
189double asin(double);
190double atan(double);
191double atan2(double, double);
192double cos(double);
193double sin(double);
194double tan(double);
195
196double cosh(double);
197double sinh(double);
198double tanh(double);
199
200double exp(double);
201double frexp(double, int *); /* fundamentally !__pure2 */
202double ldexp(double, int);
203double log(double);
204double log10(double);
205double modf(double, double *); /* fundamentally !__pure2 */
206
207double pow(double, double);
208double sqrt(double);
209
210double ceil(double);
211double fabs(double) __pure2;
212double floor(double);
213double fmod(double, double);
214
215/*
216 * These functions are not in C90.
217 */
218#if __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XSI_VISIBLE
219double acosh(double);
220double asinh(double);
221double atanh(double);
222double cbrt(double);
223double erf(double);
224double erfc(double);
225double exp2(double);
226double expm1(double);
227double fma(double, double, double);
228double hypot(double, double);
229int ilogb(double) __pure2;
230int (isinf)(double) __pure2;
231int (isnan)(double) __pure2;
232double lgamma(double);
233long long llrint(double);
234long long llround(double);
235double log1p(double);
236double log2(double);
237double logb(double);
238long lrint(double);
239long lround(double);
240double nan(const char *) __pure2;
241double nextafter(double, double);
242double remainder(double, double);
243double remquo(double, double, int *);
244double rint(double);
245#endif /* __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XSI_VISIBLE */
246
247#if __BSD_VISIBLE || __XSI_VISIBLE
248double j0(double);
249double j1(double);
250double jn(int, double);
251double y0(double);
252double y1(double);
253double yn(int, double);
254
255#if __XSI_VISIBLE <= 500 || __BSD_VISIBLE
256double gamma(double);
257#endif
258
259#if __XSI_VISIBLE <= 600 || __BSD_VISIBLE
260double scalb(double, double);
261#endif
262#endif /* __BSD_VISIBLE || __XSI_VISIBLE */
263
264#if __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999
265double copysign(double, double) __pure2;
266double fdim(double, double);
267double fmax(double, double) __pure2;
268double fmin(double, double) __pure2;
269double nearbyint(double);
270double round(double);
271double scalbln(double, long);
272double scalbn(double, int);
273double tgamma(double);
274double trunc(double);
275#endif
276
277/*
278 * BSD math library entry points
279 */
280#if __BSD_VISIBLE
281double drem(double, double);
282int finite(double) __pure2;
283int isnanf(float) __pure2;
284
285/*
286 * Reentrant version of gamma & lgamma; passes signgam back by reference
287 * as the second argument; user must allocate space for signgam.
288 */
289double gamma_r(double, int *);
290double lgamma_r(double, int *);
291
292/*
293 * IEEE Test Vector
294 */
295double significand(double);
296#endif /* __BSD_VISIBLE */
297
298/* float versions of ANSI/POSIX functions */
299#if __ISO_C_VISIBLE >= 1999
300float acosf(float);
301float asinf(float);
302float atanf(float);
303float atan2f(float, float);
304float cosf(float);
305float sinf(float);
306float tanf(float);
307
308float coshf(float);
309float sinhf(float);
310float tanhf(float);
311
312float exp2f(float);
313float expf(float);
314float expm1f(float);
315float frexpf(float, int *); /* fundamentally !__pure2 */
316int ilogbf(float) __pure2;
317float ldexpf(float, int);
318float log10f(float);
319float log1pf(float);
320float log2f(float);
321float logf(float);
322float modff(float, float *); /* fundamentally !__pure2 */
323
324float powf(float, float);
325float sqrtf(float);
326
327float ceilf(float);
328float fabsf(float) __pure2;
329float floorf(float);
330float fmodf(float, float);
331float roundf(float);
332
333float erff(float);
334float erfcf(float);
335float hypotf(float, float);
336float lgammaf(float);
337float tgammaf(float);
338
339float acoshf(float);
340float asinhf(float);
341float atanhf(float);
342float cbrtf(float);
343float logbf(float);
344float copysignf(float, float) __pure2;
345long long llrintf(float);
346long long llroundf(float);
347long lrintf(float);
348long lroundf(float);
349float nanf(const char *) __pure2;
350float nearbyintf(float);
351float nextafterf(float, float);
352float remainderf(float, float);
353float remquof(float, float, int *);
354float rintf(float);
355float scalblnf(float, long);
356float scalbnf(float, int);
357float truncf(float);
358
359float fdimf(float, float);
360float fmaf(float, float, float);
361float fmaxf(float, float) __pure2;
362float fminf(float, float) __pure2;
363#endif
364
365/*
366 * float versions of BSD math library entry points
367 */
368#if __BSD_VISIBLE
369float dremf(float, float);
370int finitef(float) __pure2;
371float gammaf(float);
372float j0f(float);
373float j1f(float);
374float jnf(int, float);
375float scalbf(float, float);
376float y0f(float);
377float y1f(float);
378float ynf(int, float);
379
380/*
381 * Float versions of reentrant version of gamma & lgamma; passes
382 * signgam back by reference as the second argument; user must
383 * allocate space for signgam.
384 */
385float gammaf_r(float, int *);
386float lgammaf_r(float, int *);
387
388/*
389 * float version of IEEE Test Vector
390 */
391float significandf(float);
392#endif /* __BSD_VISIBLE */
393
394/*
395 * long double versions of ISO/POSIX math functions
396 */
397#if __ISO_C_VISIBLE >= 1999
398long double acosl(long double);
399long double asinl(long double);
400long double atan2l(long double, long double);
401long double atanl(long double);
402long double cbrtl(long double);
403long double ceill(long double);
404long double copysignl(long double, long double) __pure2;
405long double cosl(long double);
406long double exp2l(long double);
407long double expl(long double);
407long double fabsl(long double) __pure2;
408long double fdiml(long double, long double);
409long double floorl(long double);
410long double fmal(long double, long double, long double);
411long double fmaxl(long double, long double) __pure2;
412long double fminl(long double, long double) __pure2;
413long double fmodl(long double, long double);
414long double frexpl(long double value, int *); /* fundamentally !__pure2 */
415long double hypotl(long double, long double);
416int ilogbl(long double) __pure2;
417long double ldexpl(long double, int);
418long long llrintl(long double);
419long long llroundl(long double);
420long double logbl(long double);
421long lrintl(long double);
422long lroundl(long double);
423long double modfl(long double, long double *); /* fundamentally !__pure2 */
424long double nanl(const char *) __pure2;
425long double nearbyintl(long double);
426long double nextafterl(long double, long double);
427double nexttoward(double, long double);
428float nexttowardf(float, long double);
429long double nexttowardl(long double, long double);
430long double remainderl(long double, long double);
431long double remquol(long double, long double, int *);
432long double rintl(long double);
433long double roundl(long double);
434long double scalblnl(long double, long);
435long double scalbnl(long double, int);
436long double sinl(long double);
437long double sqrtl(long double);
438long double tanl(long double);
439long double truncl(long double);
440
441#endif /* __ISO_C_VISIBLE >= 1999 */
442__END_DECLS
443
444#endif /* !_MATH_H_ */
445
446/* separate header for cmath */
447#ifndef _MATH_EXTRA_H_
448#if __ISO_C_VISIBLE >= 1999
449#if _DECLARE_C99_LDBL_MATH
450
451#define _MATH_EXTRA_H_
452
453/*
454 * extra long double versions of math functions for C99 and cmath
455 */
456__BEGIN_DECLS
457
458long double acoshl(long double);
459long double asinhl(long double);
460long double atanhl(long double);
461long double coshl(long double);
462long double erfcl(long double);
463long double erfl(long double);
408long double fabsl(long double) __pure2;
409long double fdiml(long double, long double);
410long double floorl(long double);
411long double fmal(long double, long double, long double);
412long double fmaxl(long double, long double) __pure2;
413long double fminl(long double, long double) __pure2;
414long double fmodl(long double, long double);
415long double frexpl(long double value, int *); /* fundamentally !__pure2 */
416long double hypotl(long double, long double);
417int ilogbl(long double) __pure2;
418long double ldexpl(long double, int);
419long long llrintl(long double);
420long long llroundl(long double);
421long double logbl(long double);
422long lrintl(long double);
423long lroundl(long double);
424long double modfl(long double, long double *); /* fundamentally !__pure2 */
425long double nanl(const char *) __pure2;
426long double nearbyintl(long double);
427long double nextafterl(long double, long double);
428double nexttoward(double, long double);
429float nexttowardf(float, long double);
430long double nexttowardl(long double, long double);
431long double remainderl(long double, long double);
432long double remquol(long double, long double, int *);
433long double rintl(long double);
434long double roundl(long double);
435long double scalblnl(long double, long);
436long double scalbnl(long double, int);
437long double sinl(long double);
438long double sqrtl(long double);
439long double tanl(long double);
440long double truncl(long double);
441
442#endif /* __ISO_C_VISIBLE >= 1999 */
443__END_DECLS
444
445#endif /* !_MATH_H_ */
446
447/* separate header for cmath */
448#ifndef _MATH_EXTRA_H_
449#if __ISO_C_VISIBLE >= 1999
450#if _DECLARE_C99_LDBL_MATH
451
452#define _MATH_EXTRA_H_
453
454/*
455 * extra long double versions of math functions for C99 and cmath
456 */
457__BEGIN_DECLS
458
459long double acoshl(long double);
460long double asinhl(long double);
461long double atanhl(long double);
462long double coshl(long double);
463long double erfcl(long double);
464long double erfl(long double);
464long double expl(long double);
465long double expm1l(long double);
466long double lgammal(long double);
467long double log10l(long double);
468long double log1pl(long double);
469long double log2l(long double);
470long double logl(long double);
471long double powl(long double, long double);
472long double sinhl(long double);
473long double tanhl(long double);
474long double tgammal(long double);
475
476__END_DECLS
477
478#endif /* !_DECLARE_C99_LDBL_MATH */
479#endif /* __ISO_C_VISIBLE >= 1999 */
480#endif /* !_MATH_EXTRA_H_ */
465long double expm1l(long double);
466long double lgammal(long double);
467long double log10l(long double);
468long double log1pl(long double);
469long double log2l(long double);
470long double logl(long double);
471long double powl(long double, long double);
472long double sinhl(long double);
473long double tanhl(long double);
474long double tgammal(long double);
475
476__END_DECLS
477
478#endif /* !_DECLARE_C99_LDBL_MATH */
479#endif /* __ISO_C_VISIBLE >= 1999 */
480#endif /* !_MATH_EXTRA_H_ */