about summary refs log tree commit diff
path: root/math/bits/mathcalls.h
blob: 9fed0c3a3d0b2b7e4c3c7e079c870b94c065db12 (plain) (blame)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
/* Prototype declarations for math functions; helper file for <math.h>.
   Copyright (C) 1996-2003, 2006, 2011, 2012 Free Software Foundation, Inc.
   This file is part of the GNU C Library.

   The GNU C Library is free software; you can redistribute it and/or
   modify it under the terms of the GNU Lesser General Public
   License as published by the Free Software Foundation; either
   version 2.1 of the License, or (at your option) any later version.

   The GNU C Library is distributed in the hope that it will be useful,
   but WITHOUT ANY WARRANTY; without even the implied warranty of
   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
   Lesser General Public License for more details.

   You should have received a copy of the GNU Lesser General Public
   License along with the GNU C Library; if not, see
   <http://www.gnu.org/licenses/>.  */

/* NOTE: Because of the special way this file is used by <math.h>, this
   file must NOT be protected from multiple inclusion as header files
   usually are.

   This file provides prototype declarations for the math functions.
   Most functions are declared using the macro:

   __MATHCALL (NAME,[_r], (ARGS...));

   This means there is a function `NAME' returning `double' and a function
   `NAMEf' returning `float'.  Each place `_Mdouble_' appears in the
   prototype, that is actually `double' in the prototype for `NAME' and
   `float' in the prototype for `NAMEf'.  Reentrant variant functions are
   called `NAME_r' and `NAMEf_r'.

   Functions returning other types like `int' are declared using the macro:

   __MATHDECL (TYPE, NAME,[_r], (ARGS...));

   This is just like __MATHCALL but for a function returning `TYPE'
   instead of `_Mdouble_'.  In all of these cases, there is still
   both a `NAME' and a `NAMEf' that takes `float' arguments.

   Note that there must be no whitespace before the argument passed for
   NAME, to make token pasting work with -traditional.  */

#ifndef _MATH_H
# error "Never include <bits/mathcalls.h> directly; include <math.h> instead."
#endif


/* Trigonometric functions.  */

_Mdouble_BEGIN_NAMESPACE
/* Arc cosine of X.  */
__MATHCALL (acos,, (_Mdouble_ __x));
/* Arc sine of X.  */
__MATHCALL (asin,, (_Mdouble_ __x));
/* Arc tangent of X.  */
__MATHCALL (atan,, (_Mdouble_ __x));
/* Arc tangent of Y/X.  */
__MATHCALL (atan2,, (_Mdouble_ __y, _Mdouble_ __x));

/* Cosine of X.  */
__MATHCALL (cos,, (_Mdouble_ __x));
/* Sine of X.  */
__MATHCALL (sin,, (_Mdouble_ __x));
/* Tangent of X.  */
__MATHCALL (tan,, (_Mdouble_ __x));

/* Hyperbolic functions.  */

/* Hyperbolic cosine of X.  */
__MATHCALL (cosh,, (_Mdouble_ __x));
/* Hyperbolic sine of X.  */
__MATHCALL (sinh,, (_Mdouble_ __x));
/* Hyperbolic tangent of X.  */
__MATHCALL (tanh,, (_Mdouble_ __x));
_Mdouble_END_NAMESPACE

#ifdef __USE_GNU
/* Cosine and sine of X.  */
__MATHDECL (void,sincos,,
	    (_Mdouble_ __x, _Mdouble_ *__sinx, _Mdouble_ *__cosx));
#endif

#if defined __USE_MISC || defined __USE_XOPEN_EXTENDED || defined __USE_ISOC99
__BEGIN_NAMESPACE_C99
/* Hyperbolic arc cosine of X.  */
__MATHCALL (acosh,, (_Mdouble_ __x));
/* Hyperbolic arc sine of X.  */
__MATHCALL (asinh,, (_Mdouble_ __x));
/* Hyperbolic arc tangent of X.  */
__MATHCALL (atanh,, (_Mdouble_ __x));
__END_NAMESPACE_C99
#endif

/* Exponential and logarithmic functions.  */

_Mdouble_BEGIN_NAMESPACE
/* Exponential function of X.  */
__MATHCALL (exp,, (_Mdouble_ __x));

/* Break VALUE into a normalized fraction and an integral power of 2.  */
__MATHCALL (frexp,, (_Mdouble_ __x, int *__exponent));

/* X times (two to the EXP power).  */
__MATHCALL (ldexp,, (_Mdouble_ __x, int __exponent));

/* Natural logarithm of X.  */
__MATHCALL (log,, (_Mdouble_ __x));

/* Base-ten logarithm of X.  */
__MATHCALL (log10,, (_Mdouble_ __x));

/* Break VALUE into integral and fractional parts.  */
__MATHCALL (modf,, (_Mdouble_ __x, _Mdouble_ *__iptr)) __nonnull ((2));
_Mdouble_END_NAMESPACE

#ifdef __USE_GNU
/* A function missing in all standards: compute exponent to base ten.  */
__MATHCALL (exp10,, (_Mdouble_ __x));
/* Another name occasionally used.  */
__MATHCALL (pow10,, (_Mdouble_ __x));
#endif

#if defined __USE_MISC || defined __USE_XOPEN_EXTENDED || defined __USE_ISOC99
__BEGIN_NAMESPACE_C99
/* Return exp(X) - 1.  */
__MATHCALL (expm1,, (_Mdouble_ __x));

/* Return log(1 + X).  */
__MATHCALL (log1p,, (_Mdouble_ __x));

/* Return the base 2 signed integral exponent of X.  */
__MATHCALL (logb,, (_Mdouble_ __x));
__END_NAMESPACE_C99
#endif

#ifdef __USE_ISOC99
__BEGIN_NAMESPACE_C99
/* Compute base-2 exponential of X.  */
__MATHCALL (exp2,, (_Mdouble_ __x));

/* Compute base-2 logarithm of X.  */
__MATHCALL (log2,, (_Mdouble_ __x));
__END_NAMESPACE_C99
#endif


/* Power functions.  */

_Mdouble_BEGIN_NAMESPACE
/* Return X to the Y power.  */
__MATHCALL (pow,, (_Mdouble_ __x, _Mdouble_ __y));

/* Return the square root of X.  */
__MATHCALL (sqrt,, (_Mdouble_ __x));
_Mdouble_END_NAMESPACE

#if defined __USE_MISC || defined __USE_XOPEN || defined __USE_ISOC99
__BEGIN_NAMESPACE_C99
/* Return `sqrt(X*X + Y*Y)'.  */
__MATHCALL (hypot,, (_Mdouble_ __x, _Mdouble_ __y));
__END_NAMESPACE_C99
#endif

#if defined __USE_MISC || defined __USE_XOPEN_EXTENDED || defined __USE_ISOC99
__BEGIN_NAMESPACE_C99
/* Return the cube root of X.  */
__MATHCALL (cbrt,, (_Mdouble_ __x));
__END_NAMESPACE_C99
#endif


/* Nearest integer, absolute value, and remainder functions.  */

_Mdouble_BEGIN_NAMESPACE
/* Smallest integral value not less than X.  */
__MATHCALLX (ceil,, (_Mdouble_ __x), (__const__));

/* Absolute value of X.  */
__MATHCALLX (fabs,, (_Mdouble_ __x), (__const__));

/* Largest integer not greater than X.  */
__MATHCALLX (floor,, (_Mdouble_ __x), (__const__));

/* Floating-point modulo remainder of X/Y.  */
__MATHCALL (fmod,, (_Mdouble_ __x, _Mdouble_ __y));


/* Return 0 if VALUE is finite or NaN, +1 if it
   is +Infinity, -1 if it is -Infinity.  */
__MATHDECL_1 (int,__isinf,, (_Mdouble_ __value)) __attribute__ ((__const__));

/* Return nonzero if VALUE is finite and not NaN.  */
__MATHDECL_1 (int,__finite,, (_Mdouble_ __value)) __attribute__ ((__const__));
_Mdouble_END_NAMESPACE

#ifdef __USE_MISC
/* Return 0 if VALUE is finite or NaN, +1 if it
   is +Infinity, -1 if it is -Infinity.  */
__MATHDECL_1 (int,isinf,, (_Mdouble_ __value)) __attribute__ ((__const__));

/* Return nonzero if VALUE is finite and not NaN.  */
__MATHDECL_1 (int,finite,, (_Mdouble_ __value)) __attribute__ ((__const__));

/* Return the remainder of X/Y.  */
__MATHCALL (drem,, (_Mdouble_ __x, _Mdouble_ __y));


/* Return the fractional part of X after dividing out `ilogb (X)'.  */
__MATHCALL (significand,, (_Mdouble_ __x));
#endif /* Use misc.  */

#if defined __USE_MISC || defined __USE_ISOC99
__BEGIN_NAMESPACE_C99
/* Return X with its signed changed to Y's.  */
__MATHCALLX (copysign,, (_Mdouble_ __x, _Mdouble_ __y), (__const__));
__END_NAMESPACE_C99
#endif

#ifdef __USE_ISOC99
__BEGIN_NAMESPACE_C99
/* Return representation of NaN for double type.  */
__MATHCALLX (nan,, (const char *__tagb), (__const__));
__END_NAMESPACE_C99
#endif


/* Return nonzero if VALUE is not a number.  */
__MATHDECL_1 (int,__isnan,, (_Mdouble_ __value)) __attribute__ ((__const__));

#if defined __USE_MISC || defined __USE_XOPEN
/* Return nonzero if VALUE is not a number.  */
__MATHDECL_1 (int,isnan,, (_Mdouble_ __value)) __attribute__ ((__const__));

/* Bessel functions.  */
__MATHCALL (j0,, (_Mdouble_));
__MATHCALL (j1,, (_Mdouble_));
__MATHCALL (jn,, (int, _Mdouble_));
__MATHCALL (y0,, (_Mdouble_));
__MATHCALL (y1,, (_Mdouble_));
__MATHCALL (yn,, (int, _Mdouble_));
#endif


#if defined __USE_MISC || defined __USE_XOPEN || defined __USE_ISOC99
__BEGIN_NAMESPACE_C99
/* Error and gamma functions.  */
__MATHCALL (erf,, (_Mdouble_));
__MATHCALL (erfc,, (_Mdouble_));
__MATHCALL (lgamma,, (_Mdouble_));
__END_NAMESPACE_C99
#endif

#ifdef __USE_ISOC99
__BEGIN_NAMESPACE_C99
/* True gamma function.  */
__MATHCALL (tgamma,, (_Mdouble_));
__END_NAMESPACE_C99
#endif

#if defined __USE_MISC || defined __USE_XOPEN
/* Obsolete alias for `lgamma'.  */
__MATHCALL (gamma,, (_Mdouble_));
#endif

#ifdef __USE_MISC
/* Reentrant version of lgamma.  This function uses the global variable
   `signgam'.  The reentrant version instead takes a pointer and stores
   the value through it.  */
__MATHCALL (lgamma,_r, (_Mdouble_, int *__signgamp));
#endif


#if defined __USE_MISC || defined __USE_XOPEN_EXTENDED || defined __USE_ISOC99
__BEGIN_NAMESPACE_C99
/* Return the integer nearest X in the direction of the
   prevailing rounding mode.  */
__MATHCALL (rint,, (_Mdouble_ __x));

/* Return X + epsilon if X < Y, X - epsilon if X > Y.  */
__MATHCALLX (nextafter,, (_Mdouble_ __x, _Mdouble_ __y), (__const__));
# if defined __USE_ISOC99 && !defined __LDBL_COMPAT
__MATHCALLX (nexttoward,, (_Mdouble_ __x, long double __y), (__const__));
# endif

/* Return the remainder of integer divison X / Y with infinite precision.  */
__MATHCALL (remainder,, (_Mdouble_ __x, _Mdouble_ __y));

# if defined __USE_MISC || defined __USE_ISOC99
/* Return X times (2 to the Nth power).  */
__MATHCALL (scalbn,, (_Mdouble_ __x, int __n));
# endif

/* Return the binary exponent of X, which must be nonzero.  */
__MATHDECL (int,ilogb,, (_Mdouble_ __x));
#endif

#ifdef __USE_ISOC99
/* Return X times (2 to the Nth power).  */
__MATHCALL (scalbln,, (_Mdouble_ __x, long int __n));

/* Round X to integral value in floating-point format using current
   rounding direction, but do not raise inexact exception.  */
__MATHCALL (nearbyint,, (_Mdouble_ __x));

/* Round X to nearest integral value, rounding halfway cases away from
   zero.  */
__MATHCALLX (round,, (_Mdouble_ __x), (__const__));

/* Round X to the integral value in floating-point format nearest but
   not larger in magnitude.  */
__MATHCALLX (trunc,, (_Mdouble_ __x), (__const__));

/* Compute remainder of X and Y and put in *QUO a value with sign of x/y
   and magnitude congruent `mod 2^n' to the magnitude of the integral
   quotient x/y, with n >= 3.  */
__MATHCALL (remquo,, (_Mdouble_ __x, _Mdouble_ __y, int *__quo));


/* Conversion functions.  */

/* Round X to nearest integral value according to current rounding
   direction.  */
__MATHDECL (long int,lrint,, (_Mdouble_ __x));
__MATHDECL (long long int,llrint,, (_Mdouble_ __x));

/* Round X to nearest integral value, rounding halfway cases away from
   zero.  */
__MATHDECL (long int,lround,, (_Mdouble_ __x));
__MATHDECL (long long int,llround,, (_Mdouble_ __x));


/* Return positive difference between X and Y.  */
__MATHCALL (fdim,, (_Mdouble_ __x, _Mdouble_ __y));

/* Return maximum numeric value from X and Y.  */
__MATHCALLX (fmax,, (_Mdouble_ __x, _Mdouble_ __y), (__const__));

/* Return minimum numeric value from X and Y.  */
__MATHCALLX (fmin,, (_Mdouble_ __x, _Mdouble_ __y), (__const__));


/* Classify given number.  */
__MATHDECL_1 (int, __fpclassify,, (_Mdouble_ __value))
     __attribute__ ((__const__));

/* Test for negative number.  */
__MATHDECL_1 (int, __signbit,, (_Mdouble_ __value))
     __attribute__ ((__const__));


/* Multiply-add function computed as a ternary operation.  */
__MATHCALL (fma,, (_Mdouble_ __x, _Mdouble_ __y, _Mdouble_ __z));
#endif /* Use ISO C99.  */

#if defined __USE_MISC || defined __USE_XOPEN_EXTENDED || defined __USE_ISOC99
__END_NAMESPACE_C99
#endif

#if defined __USE_MISC || defined __USE_XOPEN_EXTENDED
/* Return X times (2 to the Nth power).  */
__MATHCALL (scalb,, (_Mdouble_ __x, _Mdouble_ __n));
#endif