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d9bef9c0a4
The tgmath.h macros return a real type not a complex type when an argument is of complex integer type (a GNU extension) and there are no arguments of complex floating type. It seems clear that just as real integers are mapped to double for tgmath.h, so complex integers should be mapped to _Complex double. This patch implements such a mapping. The main complication in fixing this bug is that the tgmath.h macros expand their arguments a large number of times, resulting in exponential blowup of the size of the expansion when calls to tgmath.h macros are used in the arguments of such macros; it would be unfortunate for fixing a bug with a fairly obscure extension to make the macros expand their arguments even more times. Thus, this patch optimizes the definitions of the relevant macros. __tgmath_real_type previously expanded its argument 7 times and now expands it 3 times. __tgmath_complex_type, used in place of __tgmath_real_type only for functions that might return either real or complex types, not for complex functions that always return real types or always return complex types, expands its argument 5 times. So the sizes of the macro expansions from nested macro calls are correspondingly reduced (remembering that each tgmath.h macro expands __tgmath_real_type, or sometimes now __tgmath_complex_type, several times). Sometimes the real return type resulted from calling a complex function and converting the result to a real type; sometimes it resulted from calling a real function, because the logic for determining whether arguments were real or complex, based on sizeof, was confused by integer promotions applying to e.g. short int but not _Complex short int. The relevant tests are converted to use a new macro __expr_is_real, which, by calling __builtin_classify_type rather than comparing the results of two calls to sizeof, also reduces the number of times macros expand their arguments. Although there are reductions in the number of times macros expand their arguments, I do not consider this to fix bug 21660, since a proper fix means each macro expanding its arguments only once (via using new compiler features designed for that purpose). Tested for x86_64. [BZ #21684] * math/tgmath.h (__floating_type): Simplify definitions. (__real_integer_type): New macro. (__complex_integer_type): Likewise. (__expr_is_real): Likewise. (__tgmath_real_type_sub): Update comment to describe handling of complex types. (__tgmath_complex_type_sub): New macro. (__tgmath_complex_type): Likewise. [__HAVE_FLOAT128 && __GLIBC_USE (IEC_60559_TYPES_EXT)] (__TGMATH_CF128): Use __expr_is_real. (__TGMATH_UNARY_REAL_IMAG): Use __tgmath_complex_type and __expr_is_real. (__TGMATH_BINARY_REAL_IMAG): Likewise. (__TGMATH_UNARY_REAL_IMAG_RET_REAL): Use __expr_is_real. * math/gen-tgmath-tests.py (Type.create_type): Create complex integer types.
648 lines
26 KiB
C
648 lines
26 KiB
C
/* Copyright (C) 1997-2017 Free Software Foundation, Inc.
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This file is part of the GNU C Library.
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The GNU C Library is free software; you can redistribute it and/or
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modify it under the terms of the GNU Lesser General Public
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License as published by the Free Software Foundation; either
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version 2.1 of the License, or (at your option) any later version.
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The GNU C Library is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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Lesser General Public License for more details.
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You should have received a copy of the GNU Lesser General Public
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License along with the GNU C Library; if not, see
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<http://www.gnu.org/licenses/>. */
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/*
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* ISO C99 Standard: 7.22 Type-generic math <tgmath.h>
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*/
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#ifndef _TGMATH_H
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#define _TGMATH_H 1
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#define __GLIBC_INTERNAL_STARTING_HEADER_IMPLEMENTATION
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#include <bits/libc-header-start.h>
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/* Include the needed headers. */
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#include <bits/floatn.h>
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#include <math.h>
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#include <complex.h>
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/* Since `complex' is currently not really implemented in most C compilers
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and if it is implemented, the implementations differ. This makes it
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quite difficult to write a generic implementation of this header. We
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do not try this for now and instead concentrate only on GNU CC. Once
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we have more information support for other compilers might follow. */
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#if __GNUC_PREREQ (2, 7)
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# ifdef __NO_LONG_DOUBLE_MATH
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# define __tgml(fct) fct
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# else
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# define __tgml(fct) fct ## l
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# endif
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/* This is ugly but unless gcc gets appropriate builtins we have to do
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something like this. Don't ask how it works. */
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/* __floating_type expands to 1 if TYPE is a floating type (including
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complex floating types), 0 if TYPE is an integer type (including
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complex integer types). __real_integer_type expands to 1 if TYPE
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is a real integer type. __complex_integer_type expands to 1 if
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TYPE is a complex integer type. All these macros expand to integer
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constant expressions. All these macros can assume their argument
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has an arithmetic type (not vector, decimal floating-point or
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fixed-point), valid to pass to tgmath.h macros. */
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# if __GNUC_PREREQ (3, 1)
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/* __builtin_classify_type expands to an integer constant expression
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in GCC 3.1 and later. Default conversions applied to the argument
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of __builtin_classify_type mean it always returns 1 for real
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integer types rather than ever returning different values for
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character, boolean or enumerated types. */
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# define __floating_type(type) \
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(__builtin_classify_type (__real__ ((type) 0)) == 8)
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# define __real_integer_type(type) \
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(__builtin_classify_type ((type) 0) == 1)
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# define __complex_integer_type(type) \
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(__builtin_classify_type ((type) 0) == 9 \
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&& __builtin_classify_type (__real__ ((type) 0)) == 1)
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# else
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/* GCC versions predating __builtin_classify_type are also looser on
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what counts as an integer constant expression. */
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# define __floating_type(type) (((type) 1.25) != 1)
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# define __real_integer_type(type) (((type) (1.25 + _Complex_I)) == 1)
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# define __complex_integer_type(type) \
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(((type) (1.25 + _Complex_I)) == (1 + _Complex_I))
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# endif
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/* Whether an expression (of arithmetic type) has a real type. */
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# define __expr_is_real(E) (__builtin_classify_type (E) != 9)
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/* The tgmath real type for T, where E is 0 if T is an integer type
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and 1 for a floating type. If T has a complex type, it is
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unspecified whether the return type is real or complex (but it has
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the correct corresponding real type). */
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# define __tgmath_real_type_sub(T, E) \
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__typeof__ (*(0 ? (__typeof__ (0 ? (double *) 0 : (void *) (E))) 0 \
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: (__typeof__ (0 ? (T *) 0 : (void *) (!(E)))) 0))
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/* The tgmath real type of EXPR. */
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# define __tgmath_real_type(expr) \
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__tgmath_real_type_sub (__typeof__ ((__typeof__ (+(expr))) 0), \
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__floating_type (__typeof__ (+(expr))))
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/* The tgmath complex type for T, where E1 is 1 if T has a floating
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type and 0 otherwise, E2 is 1 if T has a real integer type and 0
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otherwise, and E3 is 1 if T has a complex type and 0 otherwise. */
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# define __tgmath_complex_type_sub(T, E1, E2, E3) \
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__typeof__ (*(0 \
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? (__typeof__ (0 ? (T *) 0 : (void *) (!(E1)))) 0 \
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: (__typeof__ (0 \
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? (__typeof__ (0 \
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? (double *) 0 \
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: (void *) (!(E2)))) 0 \
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: (__typeof__ (0 \
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? (_Complex double *) 0 \
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: (void *) (!(E3)))) 0)) 0))
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/* The tgmath complex type of EXPR. */
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# define __tgmath_complex_type(expr) \
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__tgmath_complex_type_sub (__typeof__ ((__typeof__ (+(expr))) 0), \
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__floating_type (__typeof__ (+(expr))), \
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__real_integer_type (__typeof__ (+(expr))), \
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__complex_integer_type (__typeof__ (+(expr))))
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/* Expand to text that checks if ARG_COMB has type _Float128, and if
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so calls the appropriately suffixed FCT (which may include a cast),
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or FCT and CFCT for complex functions, with arguments ARG_CALL. */
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# if __HAVE_FLOAT128 && __GLIBC_USE (IEC_60559_TYPES_EXT)
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# define __TGMATH_F128(arg_comb, fct, arg_call) \
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__builtin_types_compatible_p (__typeof (+(arg_comb)), _Float128) \
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? fct ## f128 arg_call :
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# define __TGMATH_CF128(arg_comb, fct, cfct, arg_call) \
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__builtin_types_compatible_p (__typeof (+__real__ (arg_comb)), _Float128) \
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? (__expr_is_real (arg_comb) \
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? fct ## f128 arg_call \
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: cfct ## f128 arg_call) :
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# else
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# define __TGMATH_F128(arg_comb, fct, arg_call) /* Nothing. */
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# define __TGMATH_CF128(arg_comb, fct, cfct, arg_call) /* Nothing. */
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# endif
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/* We have two kinds of generic macros: to support functions which are
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only defined on real valued parameters and those which are defined
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for complex functions as well. */
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# define __TGMATH_UNARY_REAL_ONLY(Val, Fct) \
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(__extension__ ((sizeof (+(Val)) == sizeof (double) \
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|| __builtin_classify_type (Val) != 8) \
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? (__tgmath_real_type (Val)) Fct (Val) \
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: (sizeof (+(Val)) == sizeof (float)) \
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? (__tgmath_real_type (Val)) Fct##f (Val) \
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: __TGMATH_F128 ((Val), (__tgmath_real_type (Val)) Fct, \
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(Val)) \
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(__tgmath_real_type (Val)) __tgml(Fct) (Val)))
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# define __TGMATH_UNARY_REAL_RET_ONLY(Val, Fct) \
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(__extension__ ((sizeof (+(Val)) == sizeof (double) \
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|| __builtin_classify_type (Val) != 8) \
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? Fct (Val) \
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: (sizeof (+(Val)) == sizeof (float)) \
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? Fct##f (Val) \
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: __TGMATH_F128 ((Val), Fct, (Val)) \
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__tgml(Fct) (Val)))
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# define __TGMATH_BINARY_FIRST_REAL_ONLY(Val1, Val2, Fct) \
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(__extension__ ((sizeof (+(Val1)) == sizeof (double) \
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|| __builtin_classify_type (Val1) != 8) \
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? (__tgmath_real_type (Val1)) Fct (Val1, Val2) \
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: (sizeof (+(Val1)) == sizeof (float)) \
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? (__tgmath_real_type (Val1)) Fct##f (Val1, Val2) \
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: __TGMATH_F128 ((Val1), (__tgmath_real_type (Val1)) Fct, \
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(Val1, Val2)) \
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(__tgmath_real_type (Val1)) __tgml(Fct) (Val1, Val2)))
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# define __TGMATH_BINARY_FIRST_REAL_STD_ONLY(Val1, Val2, Fct) \
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(__extension__ ((sizeof (+(Val1)) == sizeof (double) \
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|| __builtin_classify_type (Val1) != 8) \
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? (__tgmath_real_type (Val1)) Fct (Val1, Val2) \
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: (sizeof (+(Val1)) == sizeof (float)) \
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? (__tgmath_real_type (Val1)) Fct##f (Val1, Val2) \
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: (__tgmath_real_type (Val1)) __tgml(Fct) (Val1, Val2)))
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# define __TGMATH_BINARY_REAL_ONLY(Val1, Val2, Fct) \
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(__extension__ ((sizeof ((Val1) + (Val2)) > sizeof (double) \
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&& __builtin_classify_type ((Val1) + (Val2)) == 8) \
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? __TGMATH_F128 ((Val1) + (Val2), \
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(__typeof \
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((__tgmath_real_type (Val1)) 0 \
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+ (__tgmath_real_type (Val2)) 0)) Fct, \
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(Val1, Val2)) \
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(__typeof ((__tgmath_real_type (Val1)) 0 \
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+ (__tgmath_real_type (Val2)) 0)) \
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__tgml(Fct) (Val1, Val2) \
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: (sizeof (+(Val1)) == sizeof (double) \
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|| sizeof (+(Val2)) == sizeof (double) \
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|| __builtin_classify_type (Val1) != 8 \
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|| __builtin_classify_type (Val2) != 8) \
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? (__typeof ((__tgmath_real_type (Val1)) 0 \
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+ (__tgmath_real_type (Val2)) 0)) \
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Fct (Val1, Val2) \
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: (__typeof ((__tgmath_real_type (Val1)) 0 \
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+ (__tgmath_real_type (Val2)) 0)) \
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Fct##f (Val1, Val2)))
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# define __TGMATH_BINARY_REAL_STD_ONLY(Val1, Val2, Fct) \
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(__extension__ ((sizeof ((Val1) + (Val2)) > sizeof (double) \
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&& __builtin_classify_type ((Val1) + (Val2)) == 8) \
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? (__typeof ((__tgmath_real_type (Val1)) 0 \
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+ (__tgmath_real_type (Val2)) 0)) \
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__tgml(Fct) (Val1, Val2) \
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: (sizeof (+(Val1)) == sizeof (double) \
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|| sizeof (+(Val2)) == sizeof (double) \
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|| __builtin_classify_type (Val1) != 8 \
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|| __builtin_classify_type (Val2) != 8) \
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? (__typeof ((__tgmath_real_type (Val1)) 0 \
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+ (__tgmath_real_type (Val2)) 0)) \
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Fct (Val1, Val2) \
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: (__typeof ((__tgmath_real_type (Val1)) 0 \
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+ (__tgmath_real_type (Val2)) 0)) \
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Fct##f (Val1, Val2)))
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# define __TGMATH_BINARY_REAL_RET_ONLY(Val1, Val2, Fct) \
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(__extension__ ((sizeof ((Val1) + (Val2)) > sizeof (double) \
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&& __builtin_classify_type ((Val1) + (Val2)) == 8) \
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? __TGMATH_F128 ((Val1) + (Val2), Fct, (Val1, Val2)) \
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__tgml(Fct) (Val1, Val2) \
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: (sizeof (+(Val1)) == sizeof (double) \
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|| sizeof (+(Val2)) == sizeof (double) \
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|| __builtin_classify_type (Val1) != 8 \
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|| __builtin_classify_type (Val2) != 8) \
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? Fct (Val1, Val2) \
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: Fct##f (Val1, Val2)))
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# define __TGMATH_TERNARY_FIRST_SECOND_REAL_ONLY(Val1, Val2, Val3, Fct) \
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(__extension__ ((sizeof ((Val1) + (Val2)) > sizeof (double) \
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&& __builtin_classify_type ((Val1) + (Val2)) == 8) \
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? __TGMATH_F128 ((Val1) + (Val2), \
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(__typeof \
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((__tgmath_real_type (Val1)) 0 \
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+ (__tgmath_real_type (Val2)) 0)) Fct, \
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(Val1, Val2, Val3)) \
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(__typeof ((__tgmath_real_type (Val1)) 0 \
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+ (__tgmath_real_type (Val2)) 0)) \
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__tgml(Fct) (Val1, Val2, Val3) \
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: (sizeof (+(Val1)) == sizeof (double) \
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|| sizeof (+(Val2)) == sizeof (double) \
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|| __builtin_classify_type (Val1) != 8 \
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|| __builtin_classify_type (Val2) != 8) \
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? (__typeof ((__tgmath_real_type (Val1)) 0 \
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+ (__tgmath_real_type (Val2)) 0)) \
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Fct (Val1, Val2, Val3) \
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: (__typeof ((__tgmath_real_type (Val1)) 0 \
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+ (__tgmath_real_type (Val2)) 0)) \
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Fct##f (Val1, Val2, Val3)))
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# define __TGMATH_TERNARY_REAL_ONLY(Val1, Val2, Val3, Fct) \
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(__extension__ ((sizeof ((Val1) + (Val2) + (Val3)) > sizeof (double) \
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&& __builtin_classify_type ((Val1) + (Val2) + (Val3)) \
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== 8) \
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? __TGMATH_F128 ((Val1) + (Val2) + (Val3), \
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(__typeof \
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((__tgmath_real_type (Val1)) 0 \
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+ (__tgmath_real_type (Val2)) 0 \
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+ (__tgmath_real_type (Val3)) 0)) Fct, \
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(Val1, Val2, Val3)) \
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(__typeof ((__tgmath_real_type (Val1)) 0 \
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+ (__tgmath_real_type (Val2)) 0 \
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+ (__tgmath_real_type (Val3)) 0)) \
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__tgml(Fct) (Val1, Val2, Val3) \
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: (sizeof (+(Val1)) == sizeof (double) \
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|| sizeof (+(Val2)) == sizeof (double) \
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|| sizeof (+(Val3)) == sizeof (double) \
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|| __builtin_classify_type (Val1) != 8 \
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|| __builtin_classify_type (Val2) != 8 \
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|| __builtin_classify_type (Val3) != 8) \
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? (__typeof ((__tgmath_real_type (Val1)) 0 \
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+ (__tgmath_real_type (Val2)) 0 \
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+ (__tgmath_real_type (Val3)) 0)) \
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Fct (Val1, Val2, Val3) \
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: (__typeof ((__tgmath_real_type (Val1)) 0 \
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+ (__tgmath_real_type (Val2)) 0 \
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+ (__tgmath_real_type (Val3)) 0)) \
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Fct##f (Val1, Val2, Val3)))
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# define __TGMATH_TERNARY_FIRST_REAL_RET_ONLY(Val1, Val2, Val3, Fct) \
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(__extension__ ((sizeof (+(Val1)) == sizeof (double) \
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|| __builtin_classify_type (Val1) != 8) \
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? Fct (Val1, Val2, Val3) \
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: (sizeof (+(Val1)) == sizeof (float)) \
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? Fct##f (Val1, Val2, Val3) \
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: __TGMATH_F128 ((Val1), Fct, (Val1, Val2, Val3)) \
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__tgml(Fct) (Val1, Val2, Val3)))
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/* XXX This definition has to be changed as soon as the compiler understands
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the imaginary keyword. */
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# define __TGMATH_UNARY_REAL_IMAG(Val, Fct, Cfct) \
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(__extension__ ((sizeof (+__real__ (Val)) == sizeof (double) \
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|| __builtin_classify_type (__real__ (Val)) != 8) \
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? (__expr_is_real (Val) \
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? (__tgmath_complex_type (Val)) Fct (Val) \
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: (__tgmath_complex_type (Val)) Cfct (Val)) \
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: (sizeof (+__real__ (Val)) == sizeof (float)) \
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? (__expr_is_real (Val) \
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? (__tgmath_complex_type (Val)) Fct##f (Val) \
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: (__tgmath_complex_type (Val)) Cfct##f (Val)) \
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: __TGMATH_CF128 ((Val), \
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(__tgmath_complex_type (Val)) Fct, \
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(__tgmath_complex_type (Val)) Cfct, \
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(Val)) \
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(__expr_is_real (Val) \
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? (__tgmath_complex_type (Val)) __tgml(Fct) (Val) \
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: (__tgmath_complex_type (Val)) __tgml(Cfct) (Val))))
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# define __TGMATH_UNARY_IMAG(Val, Cfct) \
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(__extension__ ((sizeof (+__real__ (Val)) == sizeof (double) \
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|| __builtin_classify_type (__real__ (Val)) != 8) \
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? (__typeof__ ((__tgmath_real_type (Val)) 0 \
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+ _Complex_I)) Cfct (Val) \
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: (sizeof (+__real__ (Val)) == sizeof (float)) \
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? (__typeof__ ((__tgmath_real_type (Val)) 0 \
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+ _Complex_I)) Cfct##f (Val) \
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: __TGMATH_F128 (__real__ (Val), \
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(__typeof__ \
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((__tgmath_real_type (Val)) 0 \
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+ _Complex_I)) Cfct, (Val)) \
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(__typeof__ ((__tgmath_real_type (Val)) 0 \
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+ _Complex_I)) __tgml(Cfct) (Val)))
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/* XXX This definition has to be changed as soon as the compiler understands
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the imaginary keyword. */
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# define __TGMATH_UNARY_REAL_IMAG_RET_REAL(Val, Fct, Cfct) \
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(__extension__ ((sizeof (+__real__ (Val)) == sizeof (double) \
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|| __builtin_classify_type (__real__ (Val)) != 8) \
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? (__expr_is_real (Val) \
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? (__typeof__ (__real__ (__tgmath_real_type (Val)) 0))\
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Fct (Val) \
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: (__typeof__ (__real__ (__tgmath_real_type (Val)) 0))\
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Cfct (Val)) \
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: (sizeof (+__real__ (Val)) == sizeof (float)) \
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? (__expr_is_real (Val) \
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? (__typeof__ (__real__ (__tgmath_real_type (Val)) 0))\
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Fct##f (Val) \
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: (__typeof__ (__real__ (__tgmath_real_type (Val)) 0))\
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Cfct##f (Val)) \
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: __TGMATH_CF128 ((Val), \
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(__typeof__ \
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(__real__ \
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(__tgmath_real_type (Val)) 0)) Fct, \
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(__typeof__ \
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(__real__ \
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(__tgmath_real_type (Val)) 0)) Cfct, \
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(Val)) \
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(__expr_is_real (Val) \
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? (__typeof__ (__real__ (__tgmath_real_type (Val)) 0)) \
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|
__tgml(Fct) (Val) \
|
|
: (__typeof__ (__real__ (__tgmath_real_type (Val)) 0)) \
|
|
__tgml(Cfct) (Val))))
|
|
|
|
/* XXX This definition has to be changed as soon as the compiler understands
|
|
the imaginary keyword. */
|
|
# define __TGMATH_BINARY_REAL_IMAG(Val1, Val2, Fct, Cfct) \
|
|
(__extension__ ((sizeof (__real__ (Val1) \
|
|
+ __real__ (Val2)) > sizeof (double) \
|
|
&& __builtin_classify_type (__real__ (Val1) \
|
|
+ __real__ (Val2)) == 8) \
|
|
? __TGMATH_CF128 ((Val1) + (Val2), \
|
|
(__typeof \
|
|
((__tgmath_complex_type (Val1)) 0 \
|
|
+ (__tgmath_complex_type (Val2)) 0)) \
|
|
Fct, \
|
|
(__typeof \
|
|
((__tgmath_complex_type (Val1)) 0 \
|
|
+ (__tgmath_complex_type (Val2)) 0)) \
|
|
Cfct, \
|
|
(Val1, Val2)) \
|
|
(__expr_is_real ((Val1) + (Val2)) \
|
|
? (__typeof ((__tgmath_complex_type (Val1)) 0 \
|
|
+ (__tgmath_complex_type (Val2)) 0)) \
|
|
__tgml(Fct) (Val1, Val2) \
|
|
: (__typeof ((__tgmath_complex_type (Val1)) 0 \
|
|
+ (__tgmath_complex_type (Val2)) 0)) \
|
|
__tgml(Cfct) (Val1, Val2)) \
|
|
: (sizeof (+__real__ (Val1)) == sizeof (double) \
|
|
|| sizeof (+__real__ (Val2)) == sizeof (double) \
|
|
|| __builtin_classify_type (__real__ (Val1)) != 8 \
|
|
|| __builtin_classify_type (__real__ (Val2)) != 8) \
|
|
? (__expr_is_real ((Val1) + (Val2)) \
|
|
? (__typeof ((__tgmath_complex_type (Val1)) 0 \
|
|
+ (__tgmath_complex_type (Val2)) 0)) \
|
|
Fct (Val1, Val2) \
|
|
: (__typeof ((__tgmath_complex_type (Val1)) 0 \
|
|
+ (__tgmath_complex_type (Val2)) 0)) \
|
|
Cfct (Val1, Val2)) \
|
|
: (__expr_is_real ((Val1) + (Val2)) \
|
|
? (__typeof ((__tgmath_complex_type (Val1)) 0 \
|
|
+ (__tgmath_complex_type (Val2)) 0)) \
|
|
Fct##f (Val1, Val2) \
|
|
: (__typeof ((__tgmath_complex_type (Val1)) 0 \
|
|
+ (__tgmath_complex_type (Val2)) 0)) \
|
|
Cfct##f (Val1, Val2))))
|
|
#else
|
|
# error "Unsupported compiler; you cannot use <tgmath.h>"
|
|
#endif
|
|
|
|
|
|
/* Unary functions defined for real and complex values. */
|
|
|
|
|
|
/* Trigonometric functions. */
|
|
|
|
/* Arc cosine of X. */
|
|
#define acos(Val) __TGMATH_UNARY_REAL_IMAG (Val, acos, cacos)
|
|
/* Arc sine of X. */
|
|
#define asin(Val) __TGMATH_UNARY_REAL_IMAG (Val, asin, casin)
|
|
/* Arc tangent of X. */
|
|
#define atan(Val) __TGMATH_UNARY_REAL_IMAG (Val, atan, catan)
|
|
/* Arc tangent of Y/X. */
|
|
#define atan2(Val1, Val2) __TGMATH_BINARY_REAL_ONLY (Val1, Val2, atan2)
|
|
|
|
/* Cosine of X. */
|
|
#define cos(Val) __TGMATH_UNARY_REAL_IMAG (Val, cos, ccos)
|
|
/* Sine of X. */
|
|
#define sin(Val) __TGMATH_UNARY_REAL_IMAG (Val, sin, csin)
|
|
/* Tangent of X. */
|
|
#define tan(Val) __TGMATH_UNARY_REAL_IMAG (Val, tan, ctan)
|
|
|
|
|
|
/* Hyperbolic functions. */
|
|
|
|
/* Hyperbolic arc cosine of X. */
|
|
#define acosh(Val) __TGMATH_UNARY_REAL_IMAG (Val, acosh, cacosh)
|
|
/* Hyperbolic arc sine of X. */
|
|
#define asinh(Val) __TGMATH_UNARY_REAL_IMAG (Val, asinh, casinh)
|
|
/* Hyperbolic arc tangent of X. */
|
|
#define atanh(Val) __TGMATH_UNARY_REAL_IMAG (Val, atanh, catanh)
|
|
|
|
/* Hyperbolic cosine of X. */
|
|
#define cosh(Val) __TGMATH_UNARY_REAL_IMAG (Val, cosh, ccosh)
|
|
/* Hyperbolic sine of X. */
|
|
#define sinh(Val) __TGMATH_UNARY_REAL_IMAG (Val, sinh, csinh)
|
|
/* Hyperbolic tangent of X. */
|
|
#define tanh(Val) __TGMATH_UNARY_REAL_IMAG (Val, tanh, ctanh)
|
|
|
|
|
|
/* Exponential and logarithmic functions. */
|
|
|
|
/* Exponential function of X. */
|
|
#define exp(Val) __TGMATH_UNARY_REAL_IMAG (Val, exp, cexp)
|
|
|
|
/* Break VALUE into a normalized fraction and an integral power of 2. */
|
|
#define frexp(Val1, Val2) __TGMATH_BINARY_FIRST_REAL_ONLY (Val1, Val2, frexp)
|
|
|
|
/* X times (two to the EXP power). */
|
|
#define ldexp(Val1, Val2) __TGMATH_BINARY_FIRST_REAL_ONLY (Val1, Val2, ldexp)
|
|
|
|
/* Natural logarithm of X. */
|
|
#define log(Val) __TGMATH_UNARY_REAL_IMAG (Val, log, clog)
|
|
|
|
/* Base-ten logarithm of X. */
|
|
#ifdef __USE_GNU
|
|
# define log10(Val) __TGMATH_UNARY_REAL_IMAG (Val, log10, clog10)
|
|
#else
|
|
# define log10(Val) __TGMATH_UNARY_REAL_ONLY (Val, log10)
|
|
#endif
|
|
|
|
/* Return exp(X) - 1. */
|
|
#define expm1(Val) __TGMATH_UNARY_REAL_ONLY (Val, expm1)
|
|
|
|
/* Return log(1 + X). */
|
|
#define log1p(Val) __TGMATH_UNARY_REAL_ONLY (Val, log1p)
|
|
|
|
/* Return the base 2 signed integral exponent of X. */
|
|
#define logb(Val) __TGMATH_UNARY_REAL_ONLY (Val, logb)
|
|
|
|
/* Compute base-2 exponential of X. */
|
|
#define exp2(Val) __TGMATH_UNARY_REAL_ONLY (Val, exp2)
|
|
|
|
/* Compute base-2 logarithm of X. */
|
|
#define log2(Val) __TGMATH_UNARY_REAL_ONLY (Val, log2)
|
|
|
|
|
|
/* Power functions. */
|
|
|
|
/* Return X to the Y power. */
|
|
#define pow(Val1, Val2) __TGMATH_BINARY_REAL_IMAG (Val1, Val2, pow, cpow)
|
|
|
|
/* Return the square root of X. */
|
|
#define sqrt(Val) __TGMATH_UNARY_REAL_IMAG (Val, sqrt, csqrt)
|
|
|
|
/* Return `sqrt(X*X + Y*Y)'. */
|
|
#define hypot(Val1, Val2) __TGMATH_BINARY_REAL_ONLY (Val1, Val2, hypot)
|
|
|
|
/* Return the cube root of X. */
|
|
#define cbrt(Val) __TGMATH_UNARY_REAL_ONLY (Val, cbrt)
|
|
|
|
|
|
/* Nearest integer, absolute value, and remainder functions. */
|
|
|
|
/* Smallest integral value not less than X. */
|
|
#define ceil(Val) __TGMATH_UNARY_REAL_ONLY (Val, ceil)
|
|
|
|
/* Absolute value of X. */
|
|
#define fabs(Val) __TGMATH_UNARY_REAL_IMAG_RET_REAL (Val, fabs, cabs)
|
|
|
|
/* Largest integer not greater than X. */
|
|
#define floor(Val) __TGMATH_UNARY_REAL_ONLY (Val, floor)
|
|
|
|
/* Floating-point modulo remainder of X/Y. */
|
|
#define fmod(Val1, Val2) __TGMATH_BINARY_REAL_ONLY (Val1, Val2, fmod)
|
|
|
|
/* Round X to integral valuein floating-point format using current
|
|
rounding direction, but do not raise inexact exception. */
|
|
#define nearbyint(Val) __TGMATH_UNARY_REAL_ONLY (Val, nearbyint)
|
|
|
|
/* Round X to nearest integral value, rounding halfway cases away from
|
|
zero. */
|
|
#define round(Val) __TGMATH_UNARY_REAL_ONLY (Val, round)
|
|
|
|
/* Round X to the integral value in floating-point format nearest but
|
|
not larger in magnitude. */
|
|
#define trunc(Val) __TGMATH_UNARY_REAL_ONLY (Val, trunc)
|
|
|
|
/* 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. */
|
|
#define remquo(Val1, Val2, Val3) \
|
|
__TGMATH_TERNARY_FIRST_SECOND_REAL_ONLY (Val1, Val2, Val3, remquo)
|
|
|
|
/* Round X to nearest integral value according to current rounding
|
|
direction. */
|
|
#define lrint(Val) __TGMATH_UNARY_REAL_RET_ONLY (Val, lrint)
|
|
#define llrint(Val) __TGMATH_UNARY_REAL_RET_ONLY (Val, llrint)
|
|
|
|
/* Round X to nearest integral value, rounding halfway cases away from
|
|
zero. */
|
|
#define lround(Val) __TGMATH_UNARY_REAL_RET_ONLY (Val, lround)
|
|
#define llround(Val) __TGMATH_UNARY_REAL_RET_ONLY (Val, llround)
|
|
|
|
|
|
/* Return X with its signed changed to Y's. */
|
|
#define copysign(Val1, Val2) __TGMATH_BINARY_REAL_ONLY (Val1, Val2, copysign)
|
|
|
|
/* Error and gamma functions. */
|
|
#define erf(Val) __TGMATH_UNARY_REAL_ONLY (Val, erf)
|
|
#define erfc(Val) __TGMATH_UNARY_REAL_ONLY (Val, erfc)
|
|
#define tgamma(Val) __TGMATH_UNARY_REAL_ONLY (Val, tgamma)
|
|
#define lgamma(Val) __TGMATH_UNARY_REAL_ONLY (Val, lgamma)
|
|
|
|
|
|
/* Return the integer nearest X in the direction of the
|
|
prevailing rounding mode. */
|
|
#define rint(Val) __TGMATH_UNARY_REAL_ONLY (Val, rint)
|
|
|
|
#if __GLIBC_USE (IEC_60559_BFP_EXT)
|
|
/* Return X - epsilon. */
|
|
# define nextdown(Val) __TGMATH_UNARY_REAL_ONLY (Val, nextdown)
|
|
/* Return X + epsilon. */
|
|
# define nextup(Val) __TGMATH_UNARY_REAL_ONLY (Val, nextup)
|
|
#endif
|
|
|
|
/* Return X + epsilon if X < Y, X - epsilon if X > Y. */
|
|
#define nextafter(Val1, Val2) __TGMATH_BINARY_REAL_ONLY (Val1, Val2, nextafter)
|
|
#define nexttoward(Val1, Val2) \
|
|
__TGMATH_BINARY_FIRST_REAL_STD_ONLY (Val1, Val2, nexttoward)
|
|
|
|
/* Return the remainder of integer divison X / Y with infinite precision. */
|
|
#define remainder(Val1, Val2) __TGMATH_BINARY_REAL_ONLY (Val1, Val2, remainder)
|
|
|
|
/* Return X times (2 to the Nth power). */
|
|
#ifdef __USE_MISC
|
|
# define scalb(Val1, Val2) __TGMATH_BINARY_REAL_STD_ONLY (Val1, Val2, scalb)
|
|
#endif
|
|
|
|
/* Return X times (2 to the Nth power). */
|
|
#define scalbn(Val1, Val2) __TGMATH_BINARY_FIRST_REAL_ONLY (Val1, Val2, scalbn)
|
|
|
|
/* Return X times (2 to the Nth power). */
|
|
#define scalbln(Val1, Val2) \
|
|
__TGMATH_BINARY_FIRST_REAL_ONLY (Val1, Val2, scalbln)
|
|
|
|
/* Return the binary exponent of X, which must be nonzero. */
|
|
#define ilogb(Val) __TGMATH_UNARY_REAL_RET_ONLY (Val, ilogb)
|
|
|
|
|
|
/* Return positive difference between X and Y. */
|
|
#define fdim(Val1, Val2) __TGMATH_BINARY_REAL_ONLY (Val1, Val2, fdim)
|
|
|
|
/* Return maximum numeric value from X and Y. */
|
|
#define fmax(Val1, Val2) __TGMATH_BINARY_REAL_ONLY (Val1, Val2, fmax)
|
|
|
|
/* Return minimum numeric value from X and Y. */
|
|
#define fmin(Val1, Val2) __TGMATH_BINARY_REAL_ONLY (Val1, Val2, fmin)
|
|
|
|
|
|
/* Multiply-add function computed as a ternary operation. */
|
|
#define fma(Val1, Val2, Val3) \
|
|
__TGMATH_TERNARY_REAL_ONLY (Val1, Val2, Val3, fma)
|
|
|
|
#if __GLIBC_USE (IEC_60559_BFP_EXT)
|
|
/* Round X to nearest integer value, rounding halfway cases to even. */
|
|
# define roundeven(Val) __TGMATH_UNARY_REAL_ONLY (Val, roundeven)
|
|
|
|
# define fromfp(Val1, Val2, Val3) \
|
|
__TGMATH_TERNARY_FIRST_REAL_RET_ONLY (Val1, Val2, Val3, fromfp)
|
|
|
|
# define ufromfp(Val1, Val2, Val3) \
|
|
__TGMATH_TERNARY_FIRST_REAL_RET_ONLY (Val1, Val2, Val3, ufromfp)
|
|
|
|
# define fromfpx(Val1, Val2, Val3) \
|
|
__TGMATH_TERNARY_FIRST_REAL_RET_ONLY (Val1, Val2, Val3, fromfpx)
|
|
|
|
# define ufromfpx(Val1, Val2, Val3) \
|
|
__TGMATH_TERNARY_FIRST_REAL_RET_ONLY (Val1, Val2, Val3, ufromfpx)
|
|
|
|
/* Like ilogb, but returning long int. */
|
|
# define llogb(Val) __TGMATH_UNARY_REAL_RET_ONLY (Val, llogb)
|
|
|
|
/* Return value with maximum magnitude. */
|
|
# define fmaxmag(Val1, Val2) __TGMATH_BINARY_REAL_ONLY (Val1, Val2, fmaxmag)
|
|
|
|
/* Return value with minimum magnitude. */
|
|
# define fminmag(Val1, Val2) __TGMATH_BINARY_REAL_ONLY (Val1, Val2, fminmag)
|
|
|
|
/* Total order operation. */
|
|
# define totalorder(Val1, Val2) \
|
|
__TGMATH_BINARY_REAL_RET_ONLY (Val1, Val2, totalorder)
|
|
|
|
/* Total order operation on absolute values. */
|
|
# define totalordermag(Val1, Val2) \
|
|
__TGMATH_BINARY_REAL_RET_ONLY (Val1, Val2, totalordermag)
|
|
#endif
|
|
|
|
|
|
/* Absolute value, conjugates, and projection. */
|
|
|
|
/* Argument value of Z. */
|
|
#define carg(Val) __TGMATH_UNARY_REAL_IMAG_RET_REAL (Val, carg, carg)
|
|
|
|
/* Complex conjugate of Z. */
|
|
#define conj(Val) __TGMATH_UNARY_IMAG (Val, conj)
|
|
|
|
/* Projection of Z onto the Riemann sphere. */
|
|
#define cproj(Val) __TGMATH_UNARY_IMAG (Val, cproj)
|
|
|
|
|
|
/* Decomposing complex values. */
|
|
|
|
/* Imaginary part of Z. */
|
|
#define cimag(Val) __TGMATH_UNARY_REAL_IMAG_RET_REAL (Val, cimag, cimag)
|
|
|
|
/* Real part of Z. */
|
|
#define creal(Val) __TGMATH_UNARY_REAL_IMAG_RET_REAL (Val, creal, creal)
|
|
|
|
#endif /* tgmath.h */
|