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001: /* Prototype declarations for math functions; helper file for <math.h>.
002:    Copyright (C) 1996-2002, 2003, 2006, 2011 Free Software Foundation, Inc.
003:    This file is part of the GNU C Library.
004: 
005:    The GNU C Library is free software; you can redistribute it and/or
006:    modify it under the terms of the GNU Lesser General Public
007:    License as published by the Free Software Foundation; either
008:    version 2.1 of the License, or (at your option) any later version.
009: 
010:    The GNU C Library is distributed in the hope that it will be useful,
011:    but WITHOUT ANY WARRANTY; without even the implied warranty of
012:    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
013:    Lesser General Public License for more details.
014: 
015:    You should have received a copy of the GNU Lesser General Public
016:    License along with the GNU C Library; if not, write to the Free
017:    Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA
018:    02111-1307 USA.  */
019: 
020: /* NOTE: Because of the special way this file is used by <math.h>, this
021:    file must NOT be protected from multiple inclusion as header files
022:    usually are.
023: 
024:    This file provides prototype declarations for the math functions.
025:    Most functions are declared using the macro:
026: 
027:    __MATHCALL (NAME,[_r], (ARGS...));
028: 
029:    This means there is a function `NAME' returning `double' and a function
030:    `NAMEf' returning `float'.  Each place `_Mdouble_' appears in the
031:    prototype, that is actually `double' in the prototype for `NAME' and
032:    `float' in the prototype for `NAMEf'.  Reentrant variant functions are
033:    called `NAME_r' and `NAMEf_r'.
034: 
035:    Functions returning other types like `int' are declared using the macro:
036: 
037:    __MATHDECL (TYPE, NAME,[_r], (ARGS...));
038: 
039:    This is just like __MATHCALL but for a function returning `TYPE'
040:    instead of `_Mdouble_'.  In all of these cases, there is still
041:    both a `NAME' and a `NAMEf' that takes `float' arguments.
042: 
043:    Note that there must be no whitespace before the argument passed for
044:    NAME, to make token pasting work with -traditional.  */
045: 
046: #ifndef _MATH_H
047: # error "Never include <bits/mathcalls.h> directly; include <math.h> instead."
048: #endif
049: 
050: 
051: /* Trigonometric functions.  */
052: 
053: _Mdouble_BEGIN_NAMESPACE
054: /* Arc cosine of X.  */
055: __MATHCALL (acos,, (_Mdouble_ __x));
056: /* Arc sine of X.  */
057: __MATHCALL (asin,, (_Mdouble_ __x));
058: /* Arc tangent of X.  */
059: __MATHCALL (atan,, (_Mdouble_ __x));
060: /* Arc tangent of Y/X.  */
061: __MATHCALL (atan2,, (_Mdouble_ __y, _Mdouble_ __x));
062: 
063: /* Cosine of X.  */
064: __MATHCALL (cos,, (_Mdouble_ __x));
065: /* Sine of X.  */
066: __MATHCALL (sin,, (_Mdouble_ __x));
067: /* Tangent of X.  */
068: __MATHCALL (tan,, (_Mdouble_ __x));
069: 
070: /* Hyperbolic functions.  */
071: 
072: /* Hyperbolic cosine of X.  */
073: __MATHCALL (cosh,, (_Mdouble_ __x));
074: /* Hyperbolic sine of X.  */
075: __MATHCALL (sinh,, (_Mdouble_ __x));
076: /* Hyperbolic tangent of X.  */
077: __MATHCALL (tanh,, (_Mdouble_ __x));
078: _Mdouble_END_NAMESPACE
079: 
080: #ifdef __USE_GNU
081: /* Cosine and sine of X.  */
082: __MATHDECL (void,sincos,,
083:             (_Mdouble_ __x, _Mdouble_ *__sinx, _Mdouble_ *__cosx));
084: #endif
085: 
086: #if defined __USE_MISC || defined __USE_XOPEN_EXTENDED || defined __USE_ISOC99
087: __BEGIN_NAMESPACE_C99
088: /* Hyperbolic arc cosine of X.  */
089: __MATHCALL (acosh,, (_Mdouble_ __x));
090: /* Hyperbolic arc sine of X.  */
091: __MATHCALL (asinh,, (_Mdouble_ __x));
092: /* Hyperbolic arc tangent of X.  */
093: __MATHCALL (atanh,, (_Mdouble_ __x));
094: __END_NAMESPACE_C99
095: #endif
096: 
097: /* Exponential and logarithmic functions.  */
098: 
099: _Mdouble_BEGIN_NAMESPACE
100: /* Exponential function of X.  */
101: __MATHCALL (exp,, (_Mdouble_ __x));
102: 
103: /* Break VALUE into a normalized fraction and an integral power of 2.  */
104: __MATHCALL (frexp,, (_Mdouble_ __x, int *__exponent));
105: 
106: /* X times (two to the EXP power).  */
107: __MATHCALL (ldexp,, (_Mdouble_ __x, int __exponent));
108: 
109: /* Natural logarithm of X.  */
110: __MATHCALL (log,, (_Mdouble_ __x));
111: 
112: /* Base-ten logarithm of X.  */
113: __MATHCALL (log10,, (_Mdouble_ __x));
114: 
115: /* Break VALUE into integral and fractional parts.  */
116: __MATHCALL (modf,, (_Mdouble_ __x, _Mdouble_ *__iptr))
117:      __attribute__ ((__nonnull__ (2)));
118: _Mdouble_END_NAMESPACE
119: 
120: #ifdef __USE_GNU
121: /* A function missing in all standards: compute exponent to base ten.  */
122: __MATHCALL (exp10,, (_Mdouble_ __x));
123: /* Another name occasionally used.  */
124: __MATHCALL (pow10,, (_Mdouble_ __x));
125: #endif
126: 
127: #if defined __USE_MISC || defined __USE_XOPEN_EXTENDED || defined __USE_ISOC99
128: __BEGIN_NAMESPACE_C99
129: /* Return exp(X) - 1.  */
130: __MATHCALL (expm1,, (_Mdouble_ __x));
131: 
132: /* Return log(1 + X).  */
133: __MATHCALL (log1p,, (_Mdouble_ __x));
134: 
135: /* Return the base 2 signed integral exponent of X.  */
136: __MATHCALL (logb,, (_Mdouble_ __x));
137: __END_NAMESPACE_C99
138: #endif
139: 
140: #ifdef __USE_ISOC99
141: __BEGIN_NAMESPACE_C99
142: /* Compute base-2 exponential of X.  */
143: __MATHCALL (exp2,, (_Mdouble_ __x));
144: 
145: /* Compute base-2 logarithm of X.  */
146: __MATHCALL (log2,, (_Mdouble_ __x));
147: __END_NAMESPACE_C99
148: #endif
149: 
150: 
151: /* Power functions.  */
152: 
153: _Mdouble_BEGIN_NAMESPACE
154: /* Return X to the Y power.  */
155: __MATHCALL (pow,, (_Mdouble_ __x, _Mdouble_ __y));
156: 
157: /* Return the square root of X.  */
158: __MATHCALL (sqrt,, (_Mdouble_ __x));
159: _Mdouble_END_NAMESPACE
160: 
161: #if defined __USE_MISC || defined __USE_XOPEN || defined __USE_ISOC99
162: __BEGIN_NAMESPACE_C99
163: /* Return `sqrt(X*X + Y*Y)'.  */
164: __MATHCALL (hypot,, (_Mdouble_ __x, _Mdouble_ __y));
165: __END_NAMESPACE_C99
166: #endif
167: 
168: #if defined __USE_MISC || defined __USE_XOPEN_EXTENDED || defined __USE_ISOC99
169: __BEGIN_NAMESPACE_C99
170: /* Return the cube root of X.  */
171: __MATHCALL (cbrt,, (_Mdouble_ __x));
172: __END_NAMESPACE_C99
173: #endif
174: 
175: 
176: /* Nearest integer, absolute value, and remainder functions.  */
177: 
178: _Mdouble_BEGIN_NAMESPACE
179: /* Smallest integral value not less than X.  */
180: __MATHCALLX (ceil,, (_Mdouble_ __x), (__const__));
181: 
182: /* Absolute value of X.  */
183: __MATHCALLX (fabs,, (_Mdouble_ __x), (__const__));
184: 
185: /* Largest integer not greater than X.  */
186: __MATHCALLX (floor,, (_Mdouble_ __x), (__const__));
187: 
188: /* Floating-point modulo remainder of X/Y.  */
189: __MATHCALL (fmod,, (_Mdouble_ __x, _Mdouble_ __y));
190: 
191: 
192: /* Return 0 if VALUE is finite or NaN, +1 if it
193:    is +Infinity, -1 if it is -Infinity.  */
194: __MATHDECL_1 (int,__isinf,, (_Mdouble_ __value)) __attribute__ ((__const__));
195: 
196: /* Return nonzero if VALUE is finite and not NaN.  */
197: __MATHDECL_1 (int,__finite,, (_Mdouble_ __value)) __attribute__ ((__const__));
198: _Mdouble_END_NAMESPACE
199: 
200: #ifdef __USE_MISC
201: /* Return 0 if VALUE is finite or NaN, +1 if it
202:    is +Infinity, -1 if it is -Infinity.  */
203: __MATHDECL_1 (int,isinf,, (_Mdouble_ __value)) __attribute__ ((__const__));
204: 
205: /* Return nonzero if VALUE is finite and not NaN.  */
206: __MATHDECL_1 (int,finite,, (_Mdouble_ __value)) __attribute__ ((__const__));
207: 
208: /* Return the remainder of X/Y.  */
209: __MATHCALL (drem,, (_Mdouble_ __x, _Mdouble_ __y));
210: 
211: 
212: /* Return the fractional part of X after dividing out `ilogb (X)'.  */
213: __MATHCALL (significand,, (_Mdouble_ __x));
214: #endif /* Use misc.  */
215: 
216: #if defined __USE_MISC || defined __USE_ISOC99
217: __BEGIN_NAMESPACE_C99
218: /* Return X with its signed changed to Y's.  */
219: __MATHCALLX (copysign,, (_Mdouble_ __x, _Mdouble_ __y), (__const__));
220: __END_NAMESPACE_C99
221: #endif
222: 
223: #ifdef __USE_ISOC99
224: __BEGIN_NAMESPACE_C99
225: /* Return representation of NaN for double type.  */
226: __MATHCALLX (nan,, (__const char *__tagb), (__const__));
227: __END_NAMESPACE_C99
228: #endif
229: 
230: 
231: /* Return nonzero if VALUE is not a number.  */
232: __MATHDECL_1 (int,__isnan,, (_Mdouble_ __value)) __attribute__ ((__const__));
233: 
234: #if defined __USE_MISC || defined __USE_XOPEN
235: /* Return nonzero if VALUE is not a number.  */
236: __MATHDECL_1 (int,isnan,, (_Mdouble_ __value)) __attribute__ ((__const__));
237: 
238: /* Bessel functions.  */
239: __MATHCALL (j0,, (_Mdouble_));
240: __MATHCALL (j1,, (_Mdouble_));
241: __MATHCALL (jn,, (int, _Mdouble_));
242: __MATHCALL (y0,, (_Mdouble_));
243: __MATHCALL (y1,, (_Mdouble_));
244: __MATHCALL (yn,, (int, _Mdouble_));
245: #endif
246: 
247: 
248: #if defined __USE_MISC || defined __USE_XOPEN || defined __USE_ISOC99
249: __BEGIN_NAMESPACE_C99
250: /* Error and gamma functions.  */
251: __MATHCALL (erf,, (_Mdouble_));
252: __MATHCALL (erfc,, (_Mdouble_));
253: __MATHCALL (lgamma,, (_Mdouble_));
254: __END_NAMESPACE_C99
255: #endif
256: 
257: #ifdef __USE_ISOC99
258: __BEGIN_NAMESPACE_C99
259: /* True gamma function.  */
260: __MATHCALL (tgamma,, (_Mdouble_));
261: __END_NAMESPACE_C99
262: #endif
263: 
264: #if defined __USE_MISC || defined __USE_XOPEN
265: /* Obsolete alias for `lgamma'.  */
266: __MATHCALL (gamma,, (_Mdouble_));
267: #endif
268: 
269: #ifdef __USE_MISC
270: /* Reentrant version of lgamma.  This function uses the global variable
271:    `signgam'.  The reentrant version instead takes a pointer and stores
272:    the value through it.  */
273: __MATHCALL (lgamma,_r, (_Mdouble_, int *__signgamp));
274: #endif
275: 
276: 
277: #if defined __USE_MISC || defined __USE_XOPEN_EXTENDED || defined __USE_ISOC99
278: __BEGIN_NAMESPACE_C99
279: /* Return the integer nearest X in the direction of the
280:    prevailing rounding mode.  */
281: __MATHCALL (rint,, (_Mdouble_ __x));
282: 
283: /* Return X + epsilon if X < Y, X - epsilon if X > Y.  */
284: __MATHCALLX (nextafter,, (_Mdouble_ __x, _Mdouble_ __y), (__const__));
285: # if defined __USE_ISOC99 && !defined __LDBL_COMPAT
286: __MATHCALLX (nexttoward,, (_Mdouble_ __x, long double __y), (__const__));
287: # endif
288: 
289: /* Return the remainder of integer divison X / Y with infinite precision.  */
290: __MATHCALL (remainder,, (_Mdouble_ __x, _Mdouble_ __y));
291: 
292: # if defined __USE_MISC || defined __USE_ISOC99
293: /* Return X times (2 to the Nth power).  */
294: __MATHCALL (scalbn,, (_Mdouble_ __x, int __n));
295: # endif
296: 
297: /* Return the binary exponent of X, which must be nonzero.  */
298: __MATHDECL (int,ilogb,, (_Mdouble_ __x));
299: #endif
300: 
301: #ifdef __USE_ISOC99
302: /* Return X times (2 to the Nth power).  */
303: __MATHCALL (scalbln,, (_Mdouble_ __x, long int __n));
304: 
305: /* Round X to integral value in floating-point format using current
306:    rounding direction, but do not raise inexact exception.  */
307: __MATHCALL (nearbyint,, (_Mdouble_ __x));
308: 
309: /* Round X to nearest integral value, rounding halfway cases away from
310:    zero.  */
311: __MATHCALLX (round,, (_Mdouble_ __x), (__const__));
312: 
313: /* Round X to the integral value in floating-point format nearest but
314:    not larger in magnitude.  */
315: __MATHCALLX (trunc,, (_Mdouble_ __x), (__const__));
316: 
317: /* Compute remainder of X and Y and put in *QUO a value with sign of x/y
318:    and magnitude congruent `mod 2^n' to the magnitude of the integral
319:    quotient x/y, with n >= 3.  */
320: __MATHCALL (remquo,, (_Mdouble_ __x, _Mdouble_ __y, int *__quo));
321: 
322: 
323: /* Conversion functions.  */
324: 
325: /* Round X to nearest integral value according to current rounding
326:    direction.  */
327: __MATHDECL (long int,lrint,, (_Mdouble_ __x));
328: __MATHDECL (long long int,llrint,, (_Mdouble_ __x));
329: 
330: /* Round X to nearest integral value, rounding halfway cases away from
331:    zero.  */
332: __MATHDECL (long int,lround,, (_Mdouble_ __x));
333: __MATHDECL (long long int,llround,, (_Mdouble_ __x));
334: 
335: 
336: /* Return positive difference between X and Y.  */
337: __MATHCALL (fdim,, (_Mdouble_ __x, _Mdouble_ __y));
338: 
339: /* Return maximum numeric value from X and Y.  */
340: __MATHCALL (fmax,, (_Mdouble_ __x, _Mdouble_ __y));
341: 
342: /* Return minimum numeric value from X and Y.  */
343: __MATHCALL (fmin,, (_Mdouble_ __x, _Mdouble_ __y));
344: 
345: 
346: /* Classify given number.  */
347: __MATHDECL_1 (int, __fpclassify,, (_Mdouble_ __value))
348:      __attribute__ ((__const__));
349: 
350: /* Test for negative number.  */
351: __MATHDECL_1 (int, __signbit,, (_Mdouble_ __value))
352:      __attribute__ ((__const__));
353: 
354: 
355: /* Multiply-add function computed as a ternary operation.  */
356: __MATHCALL (fma,, (_Mdouble_ __x, _Mdouble_ __y, _Mdouble_ __z));
357: #endif /* Use ISO C99.  */
358: 
359: #if defined __USE_MISC || defined __USE_XOPEN_EXTENDED || defined __USE_ISOC99
360: __END_NAMESPACE_C99
361: #endif
362: 
363: #if defined __USE_MISC || defined __USE_XOPEN_EXTENDED
364: /* Return X times (2 to the Nth power).  */
365: __MATHCALL (scalb,, (_Mdouble_ __x, _Mdouble_ __n));
366: #endif
367: 

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