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_DISTINCT_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) \
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: (__typeof__ (__real__ (__tgmath_real_type (Val)) 0)) \
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__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_BINARY_REAL_IMAG(Val1, Val2, Fct, Cfct) \
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(__extension__ ((sizeof (__real__ (Val1) \
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+ __real__ (Val2)) > sizeof (double) \
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&& __builtin_classify_type (__real__ (Val1) \
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+ __real__ (Val2)) == 8) \
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? __TGMATH_CF128 ((Val1) + (Val2), \
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(__typeof \
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((__tgmath_complex_type (Val1)) 0 \
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+ (__tgmath_complex_type (Val2)) 0)) \
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Fct, \
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(__typeof \
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((__tgmath_complex_type (Val1)) 0 \
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+ (__tgmath_complex_type (Val2)) 0)) \
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Cfct, \
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(Val1, Val2)) \
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(__expr_is_real ((Val1) + (Val2)) \
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? (__typeof ((__tgmath_complex_type (Val1)) 0 \
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+ (__tgmath_complex_type (Val2)) 0)) \
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__tgml(Fct) (Val1, Val2) \
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: (__typeof ((__tgmath_complex_type (Val1)) 0 \
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+ (__tgmath_complex_type (Val2)) 0)) \
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__tgml(Cfct) (Val1, Val2)) \
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: (sizeof (+__real__ (Val1)) == sizeof (double) \
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|| sizeof (+__real__ (Val2)) == sizeof (double) \
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|| __builtin_classify_type (__real__ (Val1)) != 8 \
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|| __builtin_classify_type (__real__ (Val2)) != 8) \
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? (__expr_is_real ((Val1) + (Val2)) \
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? (__typeof ((__tgmath_complex_type (Val1)) 0 \
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+ (__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 */
|