0,0 → 1,184 |
/* http://pubs.opengroup.org/onlinepubs/9699919799/basedefs/tgmath.h.html */ |
/*- |
* Copyright (c) 2004 Stefan Farfeleder. |
* All rights reserved. |
* |
* Redistribution and use in source and binary forms, with or without |
* modification, are permitted provided that the following conditions |
* are met: |
* 1. Redistributions of source code must retain the above copyright |
* notice, this list of conditions and the following disclaimer. |
* 2. Redistributions in binary form must reproduce the above copyright |
* notice, this list of conditions and the following disclaimer in the |
* documentation and/or other materials provided with the distribution. |
* |
* THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND |
* ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE |
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE |
* ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE |
* FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL |
* DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS |
* OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) |
* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT |
* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY |
* OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF |
* SUCH DAMAGE. |
* |
* $FreeBSD$ |
*/ |
|
#ifndef _TGMATH_H_ |
#define _TGMATH_H_ |
|
#include <complex.h> |
#include <math.h> |
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#ifdef log2 |
#undef log2 |
#endif |
|
/* |
* This implementation of <tgmath.h> requires two implementation-dependent |
* macros to be defined: |
* __tg_impl_simple(x, y, z, fn, fnf, fnl, ...) |
* Invokes fnl() if the corresponding real type of x, y or z is long |
* double, fn() if it is double or any has an integer type, and fnf() |
* otherwise. |
* __tg_impl_full(x, y, z, fn, fnf, fnl, cfn, cfnf, cfnl, ...) |
* Invokes [c]fnl() if the corresponding real type of x, y or z is long |
* double, [c]fn() if it is double or any has an integer type, and |
* [c]fnf() otherwise. The function with the 'c' prefix is called if |
* any of x, y or z is a complex number. |
* Both macros call the chosen function with all additional arguments passed |
* to them, as given by __VA_ARGS__. |
* |
* Note that these macros cannot be implemented with C's ?: operator, |
* because the return type of the whole expression would incorrectly be long |
* double complex regardless of the argument types. |
*/ |
|
/* requires GCC >= 3.1 */ |
#if !__GNUC_PREREQ (3, 1) |
#error "<tgmath.h> not implemented for this compiler" |
#endif |
|
#define __tg_type(__e, __t) \ |
__builtin_types_compatible_p(__typeof__(__e), __t) |
#define __tg_type3(__e1, __e2, __e3, __t) \ |
(__tg_type(__e1, __t) || __tg_type(__e2, __t) || \ |
__tg_type(__e3, __t)) |
#define __tg_type_corr(__e1, __e2, __e3, __t) \ |
(__tg_type3(__e1, __e2, __e3, __t) || \ |
__tg_type3(__e1, __e2, __e3, __t _Complex)) |
#define __tg_integer(__e1, __e2, __e3) \ |
(((__typeof__(__e1))1.5 == 1) || ((__typeof__(__e2))1.5 == 1) || \ |
((__typeof__(__e3))1.5 == 1)) |
#define __tg_is_complex(__e1, __e2, __e3) \ |
(__tg_type3(__e1, __e2, __e3, float _Complex) || \ |
__tg_type3(__e1, __e2, __e3, double _Complex) || \ |
__tg_type3(__e1, __e2, __e3, long double _Complex) || \ |
__tg_type3(__e1, __e2, __e3, __typeof__(_Complex_I))) |
|
#ifdef _LDBL_EQ_DBL |
#define __tg_impl_simple(x, y, z, fn, fnf, fnl, ...) \ |
__builtin_choose_expr(__tg_type_corr(x, y, z, long double), \ |
fnl(__VA_ARGS__), __builtin_choose_expr( \ |
__tg_type_corr(x, y, z, double) || __tg_integer(x, y, z),\ |
fn(__VA_ARGS__), fnf(__VA_ARGS__))) |
#else |
#define __tg_impl_simple(__x, __y, __z, __fn, __fnf, __fnl, ...) \ |
(__tg_type_corr(__x, __y, __z, double) || __tg_integer(__x, __y, __z)) \ |
? __fn(__VA_ARGS__) : __fnf(__VA_ARGS__) |
#endif |
|
#define __tg_impl_full(__x, __y, __z, __fn, __fnf, __fnl, __cfn, __cfnf, __cfnl, ...) \ |
__builtin_choose_expr(__tg_is_complex(__x, __y, __z), \ |
__tg_impl_simple(__x, __y, __z, __cfn, __cfnf, __cfnl, __VA_ARGS__), \ |
__tg_impl_simple(__x, __y, __z, __fn, __fnf, __fnl, __VA_ARGS__)) |
|
/* Macros to save lots of repetition below */ |
#define __tg_simple(__x, __fn) \ |
__tg_impl_simple(__x, __x, __x, __fn, __fn##f, __fn##l, __x) |
#define __tg_simple2(__x, __y, __fn) \ |
__tg_impl_simple(__x, __x, __y, __fn, __fn##f, __fn##l, __x, __y) |
#define __tg_simplev(__x, __fn, ...) \ |
__tg_impl_simple(__x, __x, __x, __fn, __fn##f, __fn##l, __VA_ARGS__) |
#define __tg_full(__x, __fn) \ |
__tg_impl_full(__x, __x, __x, __fn, __fn##f, __fn##l, c##__fn, c##__fn##f, c##__fn##l, __x) |
|
/* 7.22#4 -- These macros expand to real or complex functions, depending on |
* the type of their arguments. */ |
#define acos(__x) __tg_full(__x, acos) |
#define asin(__x) __tg_full(__x, asin) |
#define atan(__x) __tg_full(__x, atan) |
#define acosh(__x) __tg_full(__x, acosh) |
#define asinh(__x) __tg_full(__x, asinh) |
#define atanh(__x) __tg_full(__x, atanh) |
#define cos(__x) __tg_full(__x, cos) |
#define sin(__x) __tg_full(__x, sin) |
#define tan(__x) __tg_full(__x, tan) |
#define cosh(__x) __tg_full(__x, cosh) |
#define sinh(__x) __tg_full(__x, sinh) |
#define tanh(__x) __tg_full(__x, tanh) |
#define exp(__x) __tg_full(__x, exp) |
#define log(__x) __tg_full(__x, log) |
#define pow(__x, __y) __tg_impl_full(__x, __x, __y, pow, powf, powl, \ |
cpow, cpowf, cpowl, __x, __y) |
#define sqrt(__x) __tg_full(__x, sqrt) |
|
/* "The corresponding type-generic macro for fabs and cabs is fabs." */ |
#define fabs(__x) __tg_impl_full(__x, __x, __x, fabs, fabsf, fabsl, \ |
cabs, cabsf, cabsl, __x) |
|
/* 7.22#5 -- These macros are only defined for arguments with real type. */ |
#define atan2(__x, __y) __tg_simple2(__x, __y, atan2) |
#define cbrt(__x) __tg_simple(__x, cbrt) |
#define ceil(__x) __tg_simple(__x, ceil) |
#define copysign(__x, __y) __tg_simple2(__x, __y, copysign) |
#define erf(__x) __tg_simple(__x, erf) |
#define erfc(__x) __tg_simple(__x, erfc) |
#define exp2(__x) __tg_simple(__x, exp2) |
#define expm1(__x) __tg_simple(__x, expm1) |
#define fdim(__x, __y) __tg_simple2(__x, __y, fdim) |
#define floor(__x) __tg_simple(__x, floor) |
#define fma(__x, __y, __z) __tg_impl_simple(__x, __y, __z, fma, fmaf, fmal, \ |
__x, __y, __z) |
#define fmax(__x, __y) __tg_simple2(__x, __y, fmax) |
#define fmin(__x, __y) __tg_simple2(__x, __y, fmin) |
#define fmod(__x, __y) __tg_simple2(__x, __y, fmod) |
#define frexp(__x, __y) __tg_simplev(__x, frexp, __x, __y) |
#define hypot(__x, __y) __tg_simple2(__x, __y, hypot) |
#define ilogb(__x) __tg_simple(__x, ilogb) |
#define ldexp(__x, __y) __tg_simplev(__x, ldexp, __x, __y) |
#define lgamma(__x) __tg_simple(__x, lgamma) |
#define llrint(__x) __tg_simple(__x, llrint) |
#define llround(__x) __tg_simple(__x, llround) |
#define log10(__x) __tg_simple(__x, log10) |
#define log1p(__x) __tg_simple(__x, log1p) |
#define log2(__x) __tg_simple(__x, log2) |
#define logb(__x) __tg_simple(__x, logb) |
#define lrint(__x) __tg_simple(__x, lrint) |
#define lround(__x) __tg_simple(__x, lround) |
#define nearbyint(__x) __tg_simple(__x, nearbyint) |
#define nextafter(__x, __y) __tg_simple2(__x, __y, nextafter) |
/* not yet implemented even for _LDBL_EQ_DBL platforms |
#define nexttoward(__x, __y) __tg_simplev(__x, nexttoward, __x, __y) |
*/ |
#define remainder(__x, __y) __tg_simple2(__x, __y, remainder) |
#define remquo(__x, __y, __z) __tg_impl_simple(__x, __x, __y, remquo, remquof, \ |
remquol, __x, __y, __z) |
#define rint(__x) __tg_simple(__x, rint) |
#define round(__x) __tg_simple(__x, round) |
#define scalbn(__x, __y) __tg_simplev(__x, scalbn, __x, __y) |
#define scalbln(__x, __y) __tg_simplev(__x, scalbln, __x, __y) |
#define tgamma(__x) __tg_simple(__x, tgamma) |
#define trunc(__x) __tg_simple(__x, trunc) |
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/* 7.22#6 -- These macros always expand to complex functions. */ |
#define carg(__x) __tg_simple(__x, carg) |
#define cimag(__x) __tg_simple(__x, cimag) |
#define conj(__x) __tg_simple(__x, conj) |
#define cproj(__x) __tg_simple(__x, cproj) |
#define creal(__x) __tg_simple(__x, creal) |
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#endif /* !_TGMATH_H_ */ |