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f7eac6eb 1/* Prototype declarations for math functions; helper file for <math.h>.
d4697bc9 2 Copyright (C) 1996-2014 Free Software Foundation, Inc.
2c6fe0bd 3 This file is part of the GNU C Library.
f7eac6eb 4
2c6fe0bd 5 The GNU C Library is free software; you can redistribute it and/or
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6 modify it under the terms of the GNU Lesser General Public
7 License as published by the Free Software Foundation; either
8 version 2.1 of the License, or (at your option) any later version.
f7eac6eb 9
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10 The GNU C Library is distributed in the hope that it will be useful,
11 but WITHOUT ANY WARRANTY; without even the implied warranty of
12 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
41bdb6e2 13 Lesser General Public License for more details.
f7eac6eb 14
41bdb6e2 15 You should have received a copy of the GNU Lesser General Public
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16 License along with the GNU C Library; if not, see
17 <http://www.gnu.org/licenses/>. */
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18
19/* NOTE: Because of the special way this file is used by <math.h>, this
20 file must NOT be protected from multiple inclusion as header files
21 usually are.
22
23 This file provides prototype declarations for the math functions.
24 Most functions are declared using the macro:
25
26 __MATHCALL (NAME,[_r], (ARGS...));
27
28 This means there is a function `NAME' returning `double' and a function
29 `NAMEf' returning `float'. Each place `_Mdouble_' appears in the
30 prototype, that is actually `double' in the prototype for `NAME' and
31 `float' in the prototype for `NAMEf'. Reentrant variant functions are
32 called `NAME_r' and `NAMEf_r'.
33
34 Functions returning other types like `int' are declared using the macro:
35
36 __MATHDECL (TYPE, NAME,[_r], (ARGS...));
37
38 This is just like __MATHCALL but for a function returning `TYPE'
39 instead of `_Mdouble_'. In all of these cases, there is still
af6f3906 40 both a `NAME' and a `NAMEf' that takes `float' arguments.
4bbac92a 41
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42 Note that there must be no whitespace before the argument passed for
43 NAME, to make token pasting work with -traditional. */
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44
45#ifndef _MATH_H
7a5affeb 46# error "Never include <bits/mathcalls.h> directly; include <math.h> instead."
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47#endif
48
49
50/* Trigonometric functions. */
51
7a5affeb 52_Mdouble_BEGIN_NAMESPACE
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53/* Arc cosine of X. */
54__MATHCALL (acos,, (_Mdouble_ __x));
55/* Arc sine of X. */
56__MATHCALL (asin,, (_Mdouble_ __x));
57/* Arc tangent of X. */
58__MATHCALL (atan,, (_Mdouble_ __x));
59/* Arc tangent of Y/X. */
60__MATHCALL (atan2,, (_Mdouble_ __y, _Mdouble_ __x));
61
62/* Cosine of X. */
63__MATHCALL (cos,, (_Mdouble_ __x));
64/* Sine of X. */
65__MATHCALL (sin,, (_Mdouble_ __x));
66/* Tangent of X. */
67__MATHCALL (tan,, (_Mdouble_ __x));
68
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69/* Hyperbolic functions. */
70
71/* Hyperbolic cosine of X. */
72__MATHCALL (cosh,, (_Mdouble_ __x));
73/* Hyperbolic sine of X. */
74__MATHCALL (sinh,, (_Mdouble_ __x));
75/* Hyperbolic tangent of X. */
76__MATHCALL (tanh,, (_Mdouble_ __x));
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77_Mdouble_END_NAMESPACE
78
79#ifdef __USE_GNU
80/* Cosine and sine of X. */
81__MATHDECL (void,sincos,,
82 (_Mdouble_ __x, _Mdouble_ *__sinx, _Mdouble_ *__cosx));
83#endif
f7eac6eb 84
ec751a23 85#if defined __USE_MISC || defined __USE_XOPEN_EXTENDED || defined __USE_ISOC99
7a5affeb 86__BEGIN_NAMESPACE_C99
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87/* Hyperbolic arc cosine of X. */
88__MATHCALL (acosh,, (_Mdouble_ __x));
89/* Hyperbolic arc sine of X. */
90__MATHCALL (asinh,, (_Mdouble_ __x));
91/* Hyperbolic arc tangent of X. */
92__MATHCALL (atanh,, (_Mdouble_ __x));
7a5affeb 93__END_NAMESPACE_C99
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94#endif
95
96/* Exponential and logarithmic functions. */
97
7a5affeb 98_Mdouble_BEGIN_NAMESPACE
6d52618b 99/* Exponential function of X. */
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100__MATHCALL (exp,, (_Mdouble_ __x));
101
102/* Break VALUE into a normalized fraction and an integral power of 2. */
afd4eb37 103__MATHCALL (frexp,, (_Mdouble_ __x, int *__exponent));
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104
105/* X times (two to the EXP power). */
afd4eb37 106__MATHCALL (ldexp,, (_Mdouble_ __x, int __exponent));
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107
108/* Natural logarithm of X. */
109__MATHCALL (log,, (_Mdouble_ __x));
110
111/* Base-ten logarithm of X. */
112__MATHCALL (log10,, (_Mdouble_ __x));
113
377a515b 114/* Break VALUE into integral and fractional parts. */
9c89fca6 115__MATHCALL (modf,, (_Mdouble_ __x, _Mdouble_ *__iptr)) __nonnull ((2));
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116_Mdouble_END_NAMESPACE
117
118#ifdef __USE_GNU
119/* A function missing in all standards: compute exponent to base ten. */
120__MATHCALL (exp10,, (_Mdouble_ __x));
121/* Another name occasionally used. */
122__MATHCALL (pow10,, (_Mdouble_ __x));
123#endif
377a515b 124
ec751a23 125#if defined __USE_MISC || defined __USE_XOPEN_EXTENDED || defined __USE_ISOC99
7a5affeb 126__BEGIN_NAMESPACE_C99
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127/* Return exp(X) - 1. */
128__MATHCALL (expm1,, (_Mdouble_ __x));
129
130/* Return log(1 + X). */
131__MATHCALL (log1p,, (_Mdouble_ __x));
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132
133/* Return the base 2 signed integral exponent of X. */
134__MATHCALL (logb,, (_Mdouble_ __x));
7a5affeb 135__END_NAMESPACE_C99
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136#endif
137
ec751a23 138#ifdef __USE_ISOC99
7a5affeb 139__BEGIN_NAMESPACE_C99
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140/* Compute base-2 exponential of X. */
141__MATHCALL (exp2,, (_Mdouble_ __x));
142
143/* Compute base-2 logarithm of X. */
144__MATHCALL (log2,, (_Mdouble_ __x));
7a5affeb 145__END_NAMESPACE_C99
377a515b 146#endif
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147
148
149/* Power functions. */
150
7a5affeb 151_Mdouble_BEGIN_NAMESPACE
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152/* Return X to the Y power. */
153__MATHCALL (pow,, (_Mdouble_ __x, _Mdouble_ __y));
154
155/* Return the square root of X. */
156__MATHCALL (sqrt,, (_Mdouble_ __x));
7a5affeb 157_Mdouble_END_NAMESPACE
f7eac6eb 158
ec751a23 159#if defined __USE_MISC || defined __USE_XOPEN || defined __USE_ISOC99
7a5affeb 160__BEGIN_NAMESPACE_C99
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161/* Return `sqrt(X*X + Y*Y)'. */
162__MATHCALL (hypot,, (_Mdouble_ __x, _Mdouble_ __y));
7a5affeb 163__END_NAMESPACE_C99
e918a7fe 164#endif
377a515b 165
ec751a23 166#if defined __USE_MISC || defined __USE_XOPEN_EXTENDED || defined __USE_ISOC99
7a5affeb 167__BEGIN_NAMESPACE_C99
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168/* Return the cube root of X. */
169__MATHCALL (cbrt,, (_Mdouble_ __x));
7a5affeb 170__END_NAMESPACE_C99
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171#endif
172
173
174/* Nearest integer, absolute value, and remainder functions. */
175
7a5affeb 176_Mdouble_BEGIN_NAMESPACE
f7eac6eb 177/* Smallest integral value not less than X. */
f4efd068 178__MATHCALLX (ceil,, (_Mdouble_ __x), (__const__));
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179
180/* Absolute value of X. */
3e5f5557 181__MATHCALLX (fabs,, (_Mdouble_ __x), (__const__));
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182
183/* Largest integer not greater than X. */
f4efd068 184__MATHCALLX (floor,, (_Mdouble_ __x), (__const__));
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185
186/* Floating-point modulo remainder of X/Y. */
187__MATHCALL (fmod,, (_Mdouble_ __x, _Mdouble_ __y));
188
189
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190/* Return 0 if VALUE is finite or NaN, +1 if it
191 is +Infinity, -1 if it is -Infinity. */
192__MATHDECL_1 (int,__isinf,, (_Mdouble_ __value)) __attribute__ ((__const__));
193
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194/* Return nonzero if VALUE is finite and not NaN. */
195__MATHDECL_1 (int,__finite,, (_Mdouble_ __value)) __attribute__ ((__const__));
7a5affeb 196_Mdouble_END_NAMESPACE
a1648746 197
f7eac6eb 198#ifdef __USE_MISC
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199/* Return 0 if VALUE is finite or NaN, +1 if it
200 is +Infinity, -1 if it is -Infinity. */
bfce746a 201__MATHDECL_1 (int,isinf,, (_Mdouble_ __value)) __attribute__ ((__const__));
f7eac6eb 202
f7eac6eb 203/* Return nonzero if VALUE is finite and not NaN. */
a1648746 204__MATHDECL_1 (int,finite,, (_Mdouble_ __value)) __attribute__ ((__const__));
f7eac6eb 205
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206/* Return the remainder of X/Y. */
207__MATHCALL (drem,, (_Mdouble_ __x, _Mdouble_ __y));
208
f7eac6eb 209
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210/* Return the fractional part of X after dividing out `ilogb (X)'. */
211__MATHCALL (significand,, (_Mdouble_ __x));
212#endif /* Use misc. */
f7eac6eb 213
ec751a23 214#if defined __USE_MISC || defined __USE_ISOC99
7a5affeb 215__BEGIN_NAMESPACE_C99
377a515b 216/* Return X with its signed changed to Y's. */
3e5f5557 217__MATHCALLX (copysign,, (_Mdouble_ __x, _Mdouble_ __y), (__const__));
7a5affeb 218__END_NAMESPACE_C99
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219#endif
220
ec751a23 221#ifdef __USE_ISOC99
7a5affeb 222__BEGIN_NAMESPACE_C99
67e971f1 223/* Return representation of qNaN for double type. */
a784e502 224__MATHCALLX (nan,, (const char *__tagb), (__const__));
7a5affeb 225__END_NAMESPACE_C99
377a515b 226#endif
2c6fe0bd 227
2c6fe0bd 228
68337808 229/* Return nonzero if VALUE is not a number. */
a1648746 230__MATHDECL_1 (int,__isnan,, (_Mdouble_ __value)) __attribute__ ((__const__));
68337808 231
377a515b 232#if defined __USE_MISC || defined __USE_XOPEN
2c6fe0bd 233/* Return nonzero if VALUE is not a number. */
a1648746 234__MATHDECL_1 (int,isnan,, (_Mdouble_ __value)) __attribute__ ((__const__));
f7eac6eb 235
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236/* Bessel functions. */
237__MATHCALL (j0,, (_Mdouble_));
238__MATHCALL (j1,, (_Mdouble_));
239__MATHCALL (jn,, (int, _Mdouble_));
240__MATHCALL (y0,, (_Mdouble_));
241__MATHCALL (y1,, (_Mdouble_));
242__MATHCALL (yn,, (int, _Mdouble_));
243#endif
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244
245
ec751a23 246#if defined __USE_MISC || defined __USE_XOPEN || defined __USE_ISOC99
7a5affeb 247__BEGIN_NAMESPACE_C99
7d6a8338 248/* Error and gamma functions. */
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249__MATHCALL (erf,, (_Mdouble_));
250__MATHCALL (erfc,, (_Mdouble_));
f7eac6eb 251__MATHCALL (lgamma,, (_Mdouble_));
7a5affeb 252__END_NAMESPACE_C99
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253#endif
254
255#ifdef __USE_ISOC99
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256__BEGIN_NAMESPACE_C99
257/* True gamma function. */
e852e889 258__MATHCALL (tgamma,, (_Mdouble_));
7a5affeb 259__END_NAMESPACE_C99
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260#endif
261
262#if defined __USE_MISC || defined __USE_XOPEN
7d6a8338 263/* Obsolete alias for `lgamma'. */
e852e889 264__MATHCALL (gamma,, (_Mdouble_));
d705269e 265#endif
f7eac6eb 266
19361cb7 267#ifdef __USE_MISC
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268/* Reentrant version of lgamma. This function uses the global variable
269 `signgam'. The reentrant version instead takes a pointer and stores
270 the value through it. */
271__MATHCALL (lgamma,_r, (_Mdouble_, int *__signgamp));
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272#endif
273
2c6fe0bd 274
ec751a23 275#if defined __USE_MISC || defined __USE_XOPEN_EXTENDED || defined __USE_ISOC99
7a5affeb 276__BEGIN_NAMESPACE_C99
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277/* Return the integer nearest X in the direction of the
278 prevailing rounding mode. */
279__MATHCALL (rint,, (_Mdouble_ __x));
280
2c6fe0bd 281/* Return X + epsilon if X < Y, X - epsilon if X > Y. */
3e5f5557 282__MATHCALLX (nextafter,, (_Mdouble_ __x, _Mdouble_ __y), (__const__));
c6251f03 283# if defined __USE_ISOC99 && !defined __LDBL_COMPAT
36fe9ac9 284__MATHCALLX (nexttoward,, (_Mdouble_ __x, long double __y), (__const__));
bfce746a 285# endif
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286
287/* Return the remainder of integer divison X / Y with infinite precision. */
288__MATHCALL (remainder,, (_Mdouble_ __x, _Mdouble_ __y));
2c6fe0bd 289
0ed99ce4 290# if defined __USE_MISC || defined __USE_ISOC99
d705269e 291/* Return X times (2 to the Nth power). */
dfd2257a 292__MATHCALL (scalbn,, (_Mdouble_ __x, int __n));
0ed99ce4 293# endif
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294
295/* Return the binary exponent of X, which must be nonzero. */
296__MATHDECL (int,ilogb,, (_Mdouble_ __x));
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297#endif
298
ec751a23 299#ifdef __USE_ISOC99
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300/* Return X times (2 to the Nth power). */
301__MATHCALL (scalbln,, (_Mdouble_ __x, long int __n));
302
4caef86c 303/* Round X to integral value in floating-point format using current
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304 rounding direction, but do not raise inexact exception. */
305__MATHCALL (nearbyint,, (_Mdouble_ __x));
306
307/* Round X to nearest integral value, rounding halfway cases away from
308 zero. */
27caaf41 309__MATHCALLX (round,, (_Mdouble_ __x), (__const__));
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310
311/* Round X to the integral value in floating-point format nearest but
312 not larger in magnitude. */
3e5f5557 313__MATHCALLX (trunc,, (_Mdouble_ __x), (__const__));
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314
315/* Compute remainder of X and Y and put in *QUO a value with sign of x/y
316 and magnitude congruent `mod 2^n' to the magnitude of the integral
317 quotient x/y, with n >= 3. */
318__MATHCALL (remquo,, (_Mdouble_ __x, _Mdouble_ __y, int *__quo));
319
320
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321/* Conversion functions. */
322
323/* Round X to nearest integral value according to current rounding
324 direction. */
af6f3906 325__MATHDECL (long int,lrint,, (_Mdouble_ __x));
828beb13 326__extension__
af6f3906 327__MATHDECL (long long int,llrint,, (_Mdouble_ __x));
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328
329/* Round X to nearest integral value, rounding halfway cases away from
330 zero. */
af6f3906 331__MATHDECL (long int,lround,, (_Mdouble_ __x));
828beb13 332__extension__
af6f3906 333__MATHDECL (long long int,llround,, (_Mdouble_ __x));
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334
335
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336/* Return positive difference between X and Y. */
337__MATHCALL (fdim,, (_Mdouble_ __x, _Mdouble_ __y));
338
4cca6b86 339/* Return maximum numeric value from X and Y. */
e58ef0f2 340__MATHCALLX (fmax,, (_Mdouble_ __x, _Mdouble_ __y), (__const__));
377a515b 341
4cca6b86 342/* Return minimum numeric value from X and Y. */
e58ef0f2 343__MATHCALLX (fmin,, (_Mdouble_ __x, _Mdouble_ __y), (__const__));
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344
345
346/* Classify given number. */
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347__MATHDECL_1 (int, __fpclassify,, (_Mdouble_ __value))
348 __attribute__ ((__const__));
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349
350/* Test for negative number. */
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351__MATHDECL_1 (int, __signbit,, (_Mdouble_ __value))
352 __attribute__ ((__const__));
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353
354
355/* Multiply-add function computed as a ternary operation. */
356__MATHCALL (fma,, (_Mdouble_ __x, _Mdouble_ __y, _Mdouble_ __z));
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357#endif /* Use ISO C99. */
358
359#if defined __USE_MISC || defined __USE_XOPEN_EXTENDED || defined __USE_ISOC99
7a5affeb 360__END_NAMESPACE_C99
d36421fa 361#endif
7a5affeb 362
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363#ifdef __USE_GNU
364/* Test for signaling NaN. */
365__MATHDECL_1 (int, __issignaling,, (_Mdouble_ __value))
366 __attribute__ ((__const__));
367#endif
368
d36421fa 369#if defined __USE_MISC || defined __USE_XOPEN_EXTENDED
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370/* Return X times (2 to the Nth power). */
371__MATHCALL (scalb,, (_Mdouble_ __x, _Mdouble_ __n));
d36421fa 372#endif