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drasko |
/* Copyright (C) 1997, 1998, 1999, 2000, 2001 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, write to the Free
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Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA
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02111-1307 USA. */
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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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/* Include the needed headers. */
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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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/* 1 if 'type' is a floating type, 0 if 'type' is an integer type.
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Allows for _Bool. Expands to an integer constant expression. */
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# define __floating_type(type) (((type) 0.25) && ((type) 0.25 - 1))
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/* The tgmath real type for T, where E is 0 if T is an integer type and
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1 for a floating 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__(expr), __floating_type(__typeof__(expr)))
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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__ ({ __tgmath_real_type (Val) __tgmres; \
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if (sizeof (Val) == sizeof (double) \
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|| __builtin_classify_type (Val) != 8) \
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__tgmres = Fct (Val); \
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else if (sizeof (Val) == sizeof (float)) \
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__tgmres = Fct##f (Val); \
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else \
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__tgmres = __tgml(Fct) (Val); \
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__tgmres; }))
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# define __TGMATH_BINARY_FIRST_REAL_ONLY(Val1, Val2, Fct) \
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(__extension__ ({ __tgmath_real_type (Val1) __tgmres; \
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if (sizeof (Val1) == sizeof (double) \
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|| __builtin_classify_type (Val1) != 8) \
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__tgmres = Fct (Val1, Val2); \
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else if (sizeof (Val1) == sizeof (float)) \
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__tgmres = Fct##f (Val1, Val2); \
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else \
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__tgmres = __tgml(Fct) (Val1, Val2); \
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__tgmres; }))
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# define __TGMATH_BINARY_REAL_ONLY(Val1, Val2, Fct) \
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(__extension__ ({ __tgmath_real_type ((Val1) + (Val2)) __tgmres; \
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if ((sizeof (Val1) > sizeof (double) \
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|| sizeof (Val2) > sizeof (double)) \
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&& __builtin_classify_type ((Val1) + (Val2)) == 8) \
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__tgmres = __tgml(Fct) (Val1, Val2); \
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else if (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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__tgmres = Fct (Val1, Val2); \
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else \
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__tgmres = Fct##f (Val1, Val2); \
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__tgmres; }))
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# define __TGMATH_TERNARY_FIRST_SECOND_REAL_ONLY(Val1, Val2, Val3, Fct) \
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(__extension__ ({ __tgmath_real_type ((Val1) + (Val2)) __tgmres; \
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if ((sizeof (Val1) > sizeof (double) \
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|| sizeof (Val2) > sizeof (double)) \
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&& __builtin_classify_type ((Val1) + (Val2)) == 8) \
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__tgmres = __tgml(Fct) (Val1, Val2, Val3); \
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else if (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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__tgmres = Fct (Val1, Val2, Val3); \
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else \
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__tgmres = Fct##f (Val1, Val2, Val3); \
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__tgmres; }))
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# define __TGMATH_TERNARY_REAL_ONLY(Val1, Val2, Val3, Fct) \
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(__extension__ ({ __tgmath_real_type ((Val1) + (Val2) + (Val3)) __tgmres;\
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if ((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) + (Val2) \
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+ (Val3)) == 8) \
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__tgmres = __tgml(Fct) (Val1, Val2, Val3); \
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else if (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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__tgmres = Fct (Val1, Val2, Val3); \
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else \
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__tgmres = Fct##f (Val1, Val2, Val3); \
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__tgmres; }))
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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__ ({ __tgmath_real_type (Val) __tgmres; \
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if (sizeof (__real__ (Val)) > sizeof (double) \
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&& __builtin_classify_type (__real__ (Val)) == 8) \
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{ \
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if (sizeof (__real__ (Val)) == sizeof (Val)) \
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__tgmres = __tgml(Fct) (Val); \
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else \
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__tgmres = __tgml(Cfct) (Val); \
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} \
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else if (sizeof (__real__ (Val)) == sizeof (double) \
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|| __builtin_classify_type (__real__ (Val)) \
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!= 8) \
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{ \
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if (sizeof (__real__ (Val)) == sizeof (Val)) \
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__tgmres = Fct (Val); \
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else \
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__tgmres = Cfct (Val); \
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} \
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else \
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{ \
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if (sizeof (__real__ (Val)) == sizeof (Val)) \
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__tgmres = Fct##f (Val); \
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else \
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__tgmres = Cfct##f (Val); \
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} \
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__tgmres; }))
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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_IMAG_ONLY(Val, Fct) \
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(__extension__ ({ __tgmath_real_type (Val) __tgmres; \
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if (sizeof (Val) == sizeof (__complex__ double) \
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|| __builtin_classify_type (__real__ (Val)) != 8) \
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__tgmres = Fct (Val); \
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else if (sizeof (Val) == sizeof (__complex__ float)) \
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__tgmres = Fct##f (Val); \
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else \
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__tgmres = __tgml(Fct) (Val); \
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__tgmres; }))
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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__ ({ __tgmath_real_type ((Val1) + (Val2)) __tgmres; \
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if ((sizeof (__real__ (Val1)) > sizeof (double) \
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|| sizeof (__real__ (Val2)) > sizeof (double)) \
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&& __builtin_classify_type (__real__ (Val1) \
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+ __real__ (Val2)) \
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== 8) \
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{ \
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if (sizeof (__real__ (Val1)) == sizeof (Val1) \
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&& sizeof (__real__ (Val2)) == sizeof (Val2)) \
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__tgmres = __tgml(Fct) (Val1, Val2); \
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else \
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__tgmres = __tgml(Cfct) (Val1, Val2); \
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} \
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else if (sizeof (__real__ (Val1)) == sizeof (double) \
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|| sizeof (__real__ (Val2)) == sizeof(double) \
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|| (__builtin_classify_type (__real__ (Val1)) \
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!= 8) \
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|| (__builtin_classify_type (__real__ (Val2)) \
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!= 8)) \
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{ \
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if (sizeof (__real__ (Val1)) == sizeof (Val1) \
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&& sizeof (__real__ (Val2)) == sizeof (Val2)) \
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__tgmres = Fct (Val1, Val2); \
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else \
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__tgmres = Cfct (Val1, Val2); \
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} \
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else \
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{ \
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if (sizeof (__real__ (Val1)) == sizeof (Val1) \
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&& sizeof (__real__ (Val2)) == sizeof (Val2)) \
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__tgmres = Fct##f (Val1, Val2); \
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else \
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__tgmres = Cfct##f (Val1, Val2); \
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} \
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__tgmres; }))
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#else
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# error "Unsupported compiler; you cannot use <tgmath.h>"
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#endif
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/* Unary functions defined for real and complex values. */
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/* Trigonometric functions. */
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/* Arc cosine of X. */
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#define acos(Val) __TGMATH_UNARY_REAL_IMAG (Val, acos, cacos)
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/* Arc sine of X. */
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#define asin(Val) __TGMATH_UNARY_REAL_IMAG (Val, asin, casin)
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/* Arc tangent of X. */
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#define atan(Val) __TGMATH_UNARY_REAL_IMAG (Val, atan, catan)
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/* Arc tangent of Y/X. */
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#define atan2(Val1, Val2) __TGMATH_BINARY_REAL_ONLY (Val1, Val2, atan2)
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/* Cosine of X. */
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#define cos(Val) __TGMATH_UNARY_REAL_IMAG (Val, cos, ccos)
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/* Sine of X. */
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#define sin(Val) __TGMATH_UNARY_REAL_IMAG (Val, sin, csin)
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/* Tangent of X. */
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#define tan(Val) __TGMATH_UNARY_REAL_IMAG (Val, tan, ctan)
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/* Hyperbolic functions. */
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| 246 |
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| 247 |
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/* Hyperbolic arc cosine of X. */
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#define acosh(Val) __TGMATH_UNARY_REAL_IMAG (Val, acosh, cacosh)
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| 249 |
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/* Hyperbolic arc sine of X. */
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#define asinh(Val) __TGMATH_UNARY_REAL_IMAG (Val, asinh, casinh)
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| 251 |
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/* Hyperbolic arc tangent of X. */
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#define atanh(Val) __TGMATH_UNARY_REAL_IMAG (Val, atanh, catanh)
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| 253 |
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| 254 |
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/* Hyperbolic cosine of X. */
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#define cosh(Val) __TGMATH_UNARY_REAL_IMAG (Val, cosh, ccosh)
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| 256 |
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/* Hyperbolic sine of X. */
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| 257 |
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#define sinh(Val) __TGMATH_UNARY_REAL_IMAG (Val, sinh, csinh)
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| 258 |
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/* Hyperbolic tangent of X. */
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| 259 |
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#define tanh(Val) __TGMATH_UNARY_REAL_IMAG (Val, tanh, ctanh)
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| 260 |
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| 261 |
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| 262 |
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/* Exponential and logarithmic functions. */
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| 263 |
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| 264 |
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/* Exponential function of X. */
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| 265 |
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#define exp(Val) __TGMATH_UNARY_REAL_IMAG (Val, exp, cexp)
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| 266 |
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| 267 |
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/* Break VALUE into a normalized fraction and an integral power of 2. */
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| 268 |
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#define frexp(Val1, Val2) __TGMATH_BINARY_FIRST_REAL_ONLY (Val1, Val2, frexp)
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| 269 |
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| 270 |
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/* X times (two to the EXP power). */
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| 271 |
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#define ldexp(Val1, Val2) __TGMATH_BINARY_FIRST_REAL_ONLY (Val1, Val2, ldexp)
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| 272 |
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| 273 |
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/* Natural logarithm of X. */
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| 274 |
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#define log(Val) __TGMATH_UNARY_REAL_IMAG (Val, log, clog)
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| 275 |
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| 276 |
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/* Base-ten logarithm of X. */
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| 277 |
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#ifdef __USE_GNU
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| 278 |
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# define log10(Val) __TGMATH_UNARY_REAL_IMAG (Val, log10, __clog10)
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| 279 |
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#else
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| 280 |
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# define log10(Val) __TGMATH_UNARY_REAL_ONLY (Val, log10)
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| 281 |
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#endif
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| 282 |
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| 283 |
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/* Return exp(X) - 1. */
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| 284 |
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#define expm1(Val) __TGMATH_UNARY_REAL_ONLY (Val, expm1)
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| 285 |
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| 286 |
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/* Return log(1 + X). */
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| 287 |
|
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#define log1p(Val) __TGMATH_UNARY_REAL_ONLY (Val, log1p)
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| 288 |
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| 289 |
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/* Return the base 2 signed integral exponent of X. */
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| 290 |
|
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#define logb(Val) __TGMATH_UNARY_REAL_ONLY (Val, logb)
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| 291 |
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| 292 |
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/* Compute base-2 exponential of X. */
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| 293 |
|
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#define exp2(Val) __TGMATH_UNARY_REAL_ONLY (Val, exp2)
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| 294 |
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| 295 |
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/* Compute base-2 logarithm of X. */
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| 296 |
|
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#define log2(Val) __TGMATH_UNARY_REAL_ONLY (Val, log2)
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| 297 |
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| 298 |
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| 299 |
|
|
/* Power functions. */
|
| 300 |
|
|
|
| 301 |
|
|
/* Return X to the Y power. */
|
| 302 |
|
|
#define pow(Val1, Val2) __TGMATH_BINARY_REAL_IMAG (Val1, Val2, pow, cpow)
|
| 303 |
|
|
|
| 304 |
|
|
/* Return the square root of X. */
|
| 305 |
|
|
#define sqrt(Val) __TGMATH_UNARY_REAL_IMAG (Val, sqrt, csqrt)
|
| 306 |
|
|
|
| 307 |
|
|
/* Return `sqrt(X*X + Y*Y)'. */
|
| 308 |
|
|
#define hypot(Val1, Val2) __TGMATH_BINARY_REAL_ONLY (Val1, Val2, hypot)
|
| 309 |
|
|
|
| 310 |
|
|
/* Return the cube root of X. */
|
| 311 |
|
|
#define cbrt(Val) __TGMATH_UNARY_REAL_ONLY (Val, cbrt)
|
| 312 |
|
|
|
| 313 |
|
|
|
| 314 |
|
|
/* Nearest integer, absolute value, and remainder functions. */
|
| 315 |
|
|
|
| 316 |
|
|
/* Smallest integral value not less than X. */
|
| 317 |
|
|
#define ceil(Val) __TGMATH_UNARY_REAL_ONLY (Val, ceil)
|
| 318 |
|
|
|
| 319 |
|
|
/* Absolute value of X. */
|
| 320 |
|
|
#define fabs(Val) __TGMATH_UNARY_REAL_IMAG (Val, fabs, cabs)
|
| 321 |
|
|
|
| 322 |
|
|
/* Largest integer not greater than X. */
|
| 323 |
|
|
#define floor(Val) __TGMATH_UNARY_REAL_ONLY (Val, floor)
|
| 324 |
|
|
|
| 325 |
|
|
/* Floating-point modulo remainder of X/Y. */
|
| 326 |
|
|
#define fmod(Val1, Val2) __TGMATH_BINARY_REAL_ONLY (Val1, Val2, fmod)
|
| 327 |
|
|
|
| 328 |
|
|
/* Round X to integral valuein floating-point format using current
|
| 329 |
|
|
rounding direction, but do not raise inexact exception. */
|
| 330 |
|
|
#define nearbyint(Val) __TGMATH_UNARY_REAL_ONLY (Val, nearbyint)
|
| 331 |
|
|
|
| 332 |
|
|
/* Round X to nearest integral value, rounding halfway cases away from
|
| 333 |
|
|
zero. */
|
| 334 |
|
|
#define round(Val) __TGMATH_UNARY_REAL_ONLY (Val, round)
|
| 335 |
|
|
|
| 336 |
|
|
/* Round X to the integral value in floating-point format nearest but
|
| 337 |
|
|
not larger in magnitude. */
|
| 338 |
|
|
#define trunc(Val) __TGMATH_UNARY_REAL_ONLY (Val, trunc)
|
| 339 |
|
|
|
| 340 |
|
|
/* Compute remainder of X and Y and put in *QUO a value with sign of x/y
|
| 341 |
|
|
and magnitude congruent `mod 2^n' to the magnitude of the integral
|
| 342 |
|
|
quotient x/y, with n >= 3. */
|
| 343 |
|
|
#define remquo(Val1, Val2, Val3) \
|
| 344 |
|
|
__TGMATH_TERNARY_FIRST_SECOND_REAL_ONLY (Val1, Val2, Val3, remquo)
|
| 345 |
|
|
|
| 346 |
|
|
/* Round X to nearest integral value according to current rounding
|
| 347 |
|
|
direction. */
|
| 348 |
|
|
#define lrint(Val) __TGMATH_UNARY_REAL_ONLY (Val, lrint)
|
| 349 |
|
|
#define llrint(Val) __TGMATH_UNARY_REAL_ONLY (Val, llrint)
|
| 350 |
|
|
|
| 351 |
|
|
/* Round X to nearest integral value, rounding halfway cases away from
|
| 352 |
|
|
zero. */
|
| 353 |
|
|
#define lround(Val) __TGMATH_UNARY_REAL_ONLY (Val, lround)
|
| 354 |
|
|
#define llround(Val) __TGMATH_UNARY_REAL_ONLY (Val, llround)
|
| 355 |
|
|
|
| 356 |
|
|
|
| 357 |
|
|
/* Return X with its signed changed to Y's. */
|
| 358 |
|
|
#define copysign(Val1, Val2) __TGMATH_BINARY_REAL_ONLY (Val1, Val2, copysign)
|
| 359 |
|
|
|
| 360 |
|
|
/* Error and gamma functions. */
|
| 361 |
|
|
#define erf(Val) __TGMATH_UNARY_REAL_ONLY (Val, erf)
|
| 362 |
|
|
#define erfc(Val) __TGMATH_UNARY_REAL_ONLY (Val, erfc)
|
| 363 |
|
|
#define tgamma(Val) __TGMATH_UNARY_REAL_ONLY (Val, tgamma)
|
| 364 |
|
|
#define lgamma(Val) __TGMATH_UNARY_REAL_ONLY (Val, lgamma)
|
| 365 |
|
|
|
| 366 |
|
|
|
| 367 |
|
|
/* Return the integer nearest X in the direction of the
|
| 368 |
|
|
prevailing rounding mode. */
|
| 369 |
|
|
#define rint(Val) __TGMATH_UNARY_REAL_ONLY (Val, rint)
|
| 370 |
|
|
|
| 371 |
|
|
/* Return X + epsilon if X < Y, X - epsilon if X > Y. */
|
| 372 |
|
|
#define nextafter(Val1, Val2) __TGMATH_BINARY_REAL_ONLY (Val1, Val2, nextafter)
|
| 373 |
|
|
#define nexttoward(Val1, Val2) \
|
| 374 |
|
|
__TGMATH_BINARY_FIRST_REAL_ONLY (Val1, Val2, nexttoward)
|
| 375 |
|
|
|
| 376 |
|
|
/* Return the remainder of integer divison X / Y with infinite precision. */
|
| 377 |
|
|
#define remainder(Val1, Val2) __TGMATH_BINARY_REAL_ONLY (Val1, Val2, remainder)
|
| 378 |
|
|
|
| 379 |
|
|
/* Return X times (2 to the Nth power). */
|
| 380 |
|
|
#if defined __USE_MISC || defined __USE_XOPEN_EXTENDED
|
| 381 |
|
|
# define scalb(Val1, Val2) __TGMATH_BINARY_REAL_ONLY (Val1, Val2, scalb)
|
| 382 |
|
|
#endif
|
| 383 |
|
|
|
| 384 |
|
|
/* Return X times (2 to the Nth power). */
|
| 385 |
|
|
#define scalbn(Val1, Val2) __TGMATH_BINARY_FIRST_REAL_ONLY (Val1, Val2, scalbn)
|
| 386 |
|
|
|
| 387 |
|
|
/* Return X times (2 to the Nth power). */
|
| 388 |
|
|
#define scalbln(Val1, Val2) \
|
| 389 |
|
|
__TGMATH_BINARY_FIRST_REAL_ONLY (Val1, Val2, scalbln)
|
| 390 |
|
|
|
| 391 |
|
|
/* Return the binary exponent of X, which must be nonzero. */
|
| 392 |
|
|
#define ilogb(Val) __TGMATH_UNARY_REAL_ONLY (Val, ilogb)
|
| 393 |
|
|
|
| 394 |
|
|
|
| 395 |
|
|
/* Return positive difference between X and Y. */
|
| 396 |
|
|
#define fdim(Val1, Val2) __TGMATH_BINARY_REAL_ONLY (Val1, Val2, fdim)
|
| 397 |
|
|
|
| 398 |
|
|
/* Return maximum numeric value from X and Y. */
|
| 399 |
|
|
#define fmax(Val1, Val2) __TGMATH_BINARY_REAL_ONLY (Val1, Val2, fmax)
|
| 400 |
|
|
|
| 401 |
|
|
/* Return minimum numeric value from X and Y. */
|
| 402 |
|
|
#define fmin(Val1, Val2) __TGMATH_BINARY_REAL_ONLY (Val1, Val2, fmin)
|
| 403 |
|
|
|
| 404 |
|
|
|
| 405 |
|
|
/* Multiply-add function computed as a ternary operation. */
|
| 406 |
|
|
#define fma(Val1, Val2, Val3) \
|
| 407 |
|
|
__TGMATH_TERNARY_REAL_ONLY (Val1, Val2, Val3, fma)
|
| 408 |
|
|
|
| 409 |
|
|
|
| 410 |
|
|
/* Absolute value, conjugates, and projection. */
|
| 411 |
|
|
|
| 412 |
|
|
/* Argument value of Z. */
|
| 413 |
|
|
#define carg(Val) __TGMATH_UNARY_IMAG_ONLY (Val, carg)
|
| 414 |
|
|
|
| 415 |
|
|
/* Complex conjugate of Z. */
|
| 416 |
|
|
#define conj(Val) __TGMATH_UNARY_IMAG_ONLY (Val, conj)
|
| 417 |
|
|
|
| 418 |
|
|
/* Projection of Z onto the Riemann sphere. */
|
| 419 |
|
|
#define cproj(Val) __TGMATH_UNARY_IMAG_ONLY (Val, cproj)
|
| 420 |
|
|
|
| 421 |
|
|
|
| 422 |
|
|
/* Decomposing complex values. */
|
| 423 |
|
|
|
| 424 |
|
|
/* Imaginary part of Z. */
|
| 425 |
|
|
#define cimag(Val) __TGMATH_UNARY_IMAG_ONLY (Val, cimag)
|
| 426 |
|
|
|
| 427 |
|
|
/* Real part of Z. */
|
| 428 |
|
|
#define creal(Val) __TGMATH_UNARY_IMAG_ONLY (Val, creal)
|
| 429 |
|
|
|
| 430 |
|
|
#endif /* tgmath.h */
|
