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489 lines
12 KiB
489 lines
12 KiB
/* single and double precision fp ops
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* missing extended precision.
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*/
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/*
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* MIPS floating point support
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* Copyright (C) 1994-2000 Algorithmics Ltd.
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* http://www.algor.co.uk
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*
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* ########################################################################
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*
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* This program is free software; you can distribute it and/or modify it
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* under the terms of the GNU General Public License (Version 2) as
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* published by the Free Software Foundation.
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*
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* This program is distributed in the hope it will be useful, but WITHOUT
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* ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
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* FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
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* for more details.
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*
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* You should have received a copy of the GNU General Public License along
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* with this program; if not, write to the Free Software Foundation, Inc.,
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* 59 Temple Place - Suite 330, Boston MA 02111-1307, USA.
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*
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* ########################################################################
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*/
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/**************************************************************************
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* Nov 7, 2000
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* Modification to allow integration with Linux kernel
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*
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* Kevin D. Kissell, kevink@mips.com and Carsten Langgard, carstenl@mips.com
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* Copyright (C) 2000 MIPS Technologies, Inc. All rights reserved.
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*************************************************************************/
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#ifdef __KERNEL__
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/* Going from Algorithmics to Linux native environment, add this */
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#include <linux/types.h>
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/*
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* Not very pretty, but the Linux kernel's normal va_list definition
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* does not allow it to be used as a structure element, as it is here.
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*/
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#ifndef _STDARG_H
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#include <stdarg.h>
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#endif
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#else
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/* Note that __KERNEL__ is taken to mean Linux kernel */
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#if #system(OpenBSD)
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#include <machine/types.h>
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#endif
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#include <machine/endian.h>
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#endif /* __KERNEL__ */
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#if (defined(BYTE_ORDER) && BYTE_ORDER == LITTLE_ENDIAN) || defined(__MIPSEL__)
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struct ieee754dp_konst {
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unsigned mantlo:32;
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unsigned manthi:20;
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unsigned bexp:11;
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unsigned sign:1;
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};
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struct ieee754sp_konst {
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unsigned mant:23;
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unsigned bexp:8;
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unsigned sign:1;
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};
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typedef union _ieee754dp {
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struct ieee754dp_konst oparts;
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struct {
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u64 mant:52;
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unsigned int bexp:11;
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unsigned int sign:1;
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} parts;
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u64 bits;
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double d;
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} ieee754dp;
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typedef union _ieee754sp {
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struct ieee754sp_konst parts;
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float f;
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u32 bits;
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} ieee754sp;
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#endif
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#if (defined(BYTE_ORDER) && BYTE_ORDER == BIG_ENDIAN) || defined(__MIPSEB__)
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struct ieee754dp_konst {
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unsigned sign:1;
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unsigned bexp:11;
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unsigned manthi:20;
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unsigned mantlo:32;
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};
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typedef union _ieee754dp {
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struct ieee754dp_konst oparts;
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struct {
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unsigned int sign:1;
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unsigned int bexp:11;
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u64 mant:52;
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} parts;
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double d;
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u64 bits;
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} ieee754dp;
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struct ieee754sp_konst {
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unsigned sign:1;
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unsigned bexp:8;
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unsigned mant:23;
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};
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typedef union _ieee754sp {
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struct ieee754sp_konst parts;
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float f;
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u32 bits;
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} ieee754sp;
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#endif
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/*
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* single precision (often aka float)
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*/
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int ieee754sp_finite(ieee754sp x);
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int ieee754sp_class(ieee754sp x);
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ieee754sp ieee754sp_abs(ieee754sp x);
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ieee754sp ieee754sp_neg(ieee754sp x);
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ieee754sp ieee754sp_scalb(ieee754sp x, int);
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ieee754sp ieee754sp_logb(ieee754sp x);
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/* x with sign of y */
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ieee754sp ieee754sp_copysign(ieee754sp x, ieee754sp y);
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ieee754sp ieee754sp_add(ieee754sp x, ieee754sp y);
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ieee754sp ieee754sp_sub(ieee754sp x, ieee754sp y);
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ieee754sp ieee754sp_mul(ieee754sp x, ieee754sp y);
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ieee754sp ieee754sp_div(ieee754sp x, ieee754sp y);
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ieee754sp ieee754sp_fint(int x);
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ieee754sp ieee754sp_funs(unsigned x);
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ieee754sp ieee754sp_flong(s64 x);
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ieee754sp ieee754sp_fulong(u64 x);
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ieee754sp ieee754sp_fdp(ieee754dp x);
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int ieee754sp_tint(ieee754sp x);
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unsigned int ieee754sp_tuns(ieee754sp x);
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s64 ieee754sp_tlong(ieee754sp x);
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u64 ieee754sp_tulong(ieee754sp x);
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int ieee754sp_cmp(ieee754sp x, ieee754sp y, int cop, int sig);
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/*
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* basic sp math
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*/
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ieee754sp ieee754sp_modf(ieee754sp x, ieee754sp * ip);
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ieee754sp ieee754sp_frexp(ieee754sp x, int *exp);
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ieee754sp ieee754sp_ldexp(ieee754sp x, int exp);
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ieee754sp ieee754sp_ceil(ieee754sp x);
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ieee754sp ieee754sp_floor(ieee754sp x);
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ieee754sp ieee754sp_trunc(ieee754sp x);
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ieee754sp ieee754sp_sqrt(ieee754sp x);
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/*
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* double precision (often aka double)
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*/
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int ieee754dp_finite(ieee754dp x);
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int ieee754dp_class(ieee754dp x);
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/* x with sign of y */
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ieee754dp ieee754dp_copysign(ieee754dp x, ieee754dp y);
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ieee754dp ieee754dp_add(ieee754dp x, ieee754dp y);
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ieee754dp ieee754dp_sub(ieee754dp x, ieee754dp y);
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ieee754dp ieee754dp_mul(ieee754dp x, ieee754dp y);
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ieee754dp ieee754dp_div(ieee754dp x, ieee754dp y);
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ieee754dp ieee754dp_abs(ieee754dp x);
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ieee754dp ieee754dp_neg(ieee754dp x);
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ieee754dp ieee754dp_scalb(ieee754dp x, int);
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/* return exponent as integer in floating point format
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*/
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ieee754dp ieee754dp_logb(ieee754dp x);
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ieee754dp ieee754dp_fint(int x);
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ieee754dp ieee754dp_funs(unsigned x);
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ieee754dp ieee754dp_flong(s64 x);
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ieee754dp ieee754dp_fulong(u64 x);
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ieee754dp ieee754dp_fsp(ieee754sp x);
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ieee754dp ieee754dp_ceil(ieee754dp x);
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ieee754dp ieee754dp_floor(ieee754dp x);
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ieee754dp ieee754dp_trunc(ieee754dp x);
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int ieee754dp_tint(ieee754dp x);
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unsigned int ieee754dp_tuns(ieee754dp x);
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s64 ieee754dp_tlong(ieee754dp x);
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u64 ieee754dp_tulong(ieee754dp x);
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int ieee754dp_cmp(ieee754dp x, ieee754dp y, int cop, int sig);
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/*
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* basic sp math
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*/
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ieee754dp ieee754dp_modf(ieee754dp x, ieee754dp * ip);
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ieee754dp ieee754dp_frexp(ieee754dp x, int *exp);
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ieee754dp ieee754dp_ldexp(ieee754dp x, int exp);
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ieee754dp ieee754dp_ceil(ieee754dp x);
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ieee754dp ieee754dp_floor(ieee754dp x);
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ieee754dp ieee754dp_trunc(ieee754dp x);
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ieee754dp ieee754dp_sqrt(ieee754dp x);
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/* 5 types of floating point number
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*/
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#define IEEE754_CLASS_NORM 0x00
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#define IEEE754_CLASS_ZERO 0x01
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#define IEEE754_CLASS_DNORM 0x02
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#define IEEE754_CLASS_INF 0x03
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#define IEEE754_CLASS_SNAN 0x04
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#define IEEE754_CLASS_QNAN 0x05
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extern const char *const ieee754_cname[];
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/* exception numbers */
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#define IEEE754_INEXACT 0x01
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#define IEEE754_UNDERFLOW 0x02
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#define IEEE754_OVERFLOW 0x04
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#define IEEE754_ZERO_DIVIDE 0x08
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#define IEEE754_INVALID_OPERATION 0x10
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/* cmp operators
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*/
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#define IEEE754_CLT 0x01
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#define IEEE754_CEQ 0x02
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#define IEEE754_CGT 0x04
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#define IEEE754_CUN 0x08
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/* rounding mode
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*/
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#define IEEE754_RN 0 /* round to nearest */
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#define IEEE754_RZ 1 /* round toward zero */
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#define IEEE754_RD 2 /* round toward -Infinity */
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#define IEEE754_RU 3 /* round toward +Infinity */
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/* other naming */
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#define IEEE754_RM IEEE754_RD
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#define IEEE754_RP IEEE754_RU
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/* "normal" comparisons
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*/
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static __inline int ieee754sp_eq(ieee754sp x, ieee754sp y)
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{
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return ieee754sp_cmp(x, y, IEEE754_CEQ, 0);
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}
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static __inline int ieee754sp_ne(ieee754sp x, ieee754sp y)
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{
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return ieee754sp_cmp(x, y,
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IEEE754_CLT | IEEE754_CGT | IEEE754_CUN, 0);
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}
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static __inline int ieee754sp_lt(ieee754sp x, ieee754sp y)
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{
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return ieee754sp_cmp(x, y, IEEE754_CLT, 0);
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}
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static __inline int ieee754sp_le(ieee754sp x, ieee754sp y)
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{
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return ieee754sp_cmp(x, y, IEEE754_CLT | IEEE754_CEQ, 0);
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}
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static __inline int ieee754sp_gt(ieee754sp x, ieee754sp y)
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{
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return ieee754sp_cmp(x, y, IEEE754_CGT, 0);
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}
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static __inline int ieee754sp_ge(ieee754sp x, ieee754sp y)
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{
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return ieee754sp_cmp(x, y, IEEE754_CGT | IEEE754_CEQ, 0);
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}
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static __inline int ieee754dp_eq(ieee754dp x, ieee754dp y)
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{
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return ieee754dp_cmp(x, y, IEEE754_CEQ, 0);
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}
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static __inline int ieee754dp_ne(ieee754dp x, ieee754dp y)
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{
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return ieee754dp_cmp(x, y,
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IEEE754_CLT | IEEE754_CGT | IEEE754_CUN, 0);
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}
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static __inline int ieee754dp_lt(ieee754dp x, ieee754dp y)
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{
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return ieee754dp_cmp(x, y, IEEE754_CLT, 0);
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}
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static __inline int ieee754dp_le(ieee754dp x, ieee754dp y)
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{
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return ieee754dp_cmp(x, y, IEEE754_CLT | IEEE754_CEQ, 0);
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}
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static __inline int ieee754dp_gt(ieee754dp x, ieee754dp y)
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{
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return ieee754dp_cmp(x, y, IEEE754_CGT, 0);
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}
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static __inline int ieee754dp_ge(ieee754dp x, ieee754dp y)
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{
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return ieee754dp_cmp(x, y, IEEE754_CGT | IEEE754_CEQ, 0);
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}
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/* like strtod
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*/
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ieee754dp ieee754dp_fstr(const char *s, char **endp);
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char *ieee754dp_tstr(ieee754dp x, int prec, int fmt, int af);
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/* the control status register
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*/
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struct ieee754_csr {
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unsigned pad:13;
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unsigned nod:1; /* set 1 for no denormalised numbers */
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unsigned cx:5; /* exceptions this operation */
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unsigned mx:5; /* exception enable mask */
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unsigned sx:5; /* exceptions total */
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unsigned rm:2; /* current rounding mode */
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};
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extern struct ieee754_csr ieee754_csr;
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static __inline unsigned ieee754_getrm(void)
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{
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return (ieee754_csr.rm);
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}
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static __inline unsigned ieee754_setrm(unsigned rm)
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{
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return (ieee754_csr.rm = rm);
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}
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/*
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* get current exceptions
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*/
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static __inline unsigned ieee754_getcx(void)
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{
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return (ieee754_csr.cx);
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}
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/* test for current exception condition
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*/
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static __inline int ieee754_cxtest(unsigned n)
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{
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return (ieee754_csr.cx & n);
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}
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/*
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* get sticky exceptions
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*/
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static __inline unsigned ieee754_getsx(void)
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{
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return (ieee754_csr.sx);
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}
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/* clear sticky conditions
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*/
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static __inline unsigned ieee754_clrsx(void)
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{
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return (ieee754_csr.sx = 0);
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}
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/* test for sticky exception condition
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*/
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static __inline int ieee754_sxtest(unsigned n)
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{
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return (ieee754_csr.sx & n);
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}
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/* debugging */
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ieee754sp ieee754sp_dump(char *s, ieee754sp x);
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ieee754dp ieee754dp_dump(char *s, ieee754dp x);
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#define IEEE754_SPCVAL_PZERO 0
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#define IEEE754_SPCVAL_NZERO 1
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#define IEEE754_SPCVAL_PONE 2
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#define IEEE754_SPCVAL_NONE 3
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#define IEEE754_SPCVAL_PTEN 4
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#define IEEE754_SPCVAL_NTEN 5
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#define IEEE754_SPCVAL_PINFINITY 6
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#define IEEE754_SPCVAL_NINFINITY 7
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#define IEEE754_SPCVAL_INDEF 8
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#define IEEE754_SPCVAL_PMAX 9 /* +max norm */
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#define IEEE754_SPCVAL_NMAX 10 /* -max norm */
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#define IEEE754_SPCVAL_PMIN 11 /* +min norm */
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#define IEEE754_SPCVAL_NMIN 12 /* +min norm */
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#define IEEE754_SPCVAL_PMIND 13 /* +min denorm */
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#define IEEE754_SPCVAL_NMIND 14 /* +min denorm */
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#define IEEE754_SPCVAL_P1E31 15 /* + 1.0e31 */
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#define IEEE754_SPCVAL_P1E63 16 /* + 1.0e63 */
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extern const struct ieee754dp_konst __ieee754dp_spcvals[];
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extern const struct ieee754sp_konst __ieee754sp_spcvals[];
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#define ieee754dp_spcvals ((const ieee754dp *)__ieee754dp_spcvals)
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#define ieee754sp_spcvals ((const ieee754sp *)__ieee754sp_spcvals)
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/* return infinity with given sign
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*/
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#define ieee754dp_inf(sn) \
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(ieee754dp_spcvals[IEEE754_SPCVAL_PINFINITY+(sn)])
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#define ieee754dp_zero(sn) \
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(ieee754dp_spcvals[IEEE754_SPCVAL_PZERO+(sn)])
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#define ieee754dp_one(sn) \
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(ieee754dp_spcvals[IEEE754_SPCVAL_PONE+(sn)])
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#define ieee754dp_ten(sn) \
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(ieee754dp_spcvals[IEEE754_SPCVAL_PTEN+(sn)])
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#define ieee754dp_indef() \
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(ieee754dp_spcvals[IEEE754_SPCVAL_INDEF])
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#define ieee754dp_max(sn) \
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(ieee754dp_spcvals[IEEE754_SPCVAL_PMAX+(sn)])
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#define ieee754dp_min(sn) \
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(ieee754dp_spcvals[IEEE754_SPCVAL_PMIN+(sn)])
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#define ieee754dp_mind(sn) \
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(ieee754dp_spcvals[IEEE754_SPCVAL_PMIND+(sn)])
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#define ieee754dp_1e31() \
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(ieee754dp_spcvals[IEEE754_SPCVAL_P1E31])
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#define ieee754dp_1e63() \
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(ieee754dp_spcvals[IEEE754_SPCVAL_P1E63])
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#define ieee754sp_inf(sn) \
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(ieee754sp_spcvals[IEEE754_SPCVAL_PINFINITY+(sn)])
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#define ieee754sp_zero(sn) \
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(ieee754sp_spcvals[IEEE754_SPCVAL_PZERO+(sn)])
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#define ieee754sp_one(sn) \
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(ieee754sp_spcvals[IEEE754_SPCVAL_PONE+(sn)])
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#define ieee754sp_ten(sn) \
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(ieee754sp_spcvals[IEEE754_SPCVAL_PTEN+(sn)])
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#define ieee754sp_indef() \
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(ieee754sp_spcvals[IEEE754_SPCVAL_INDEF])
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#define ieee754sp_max(sn) \
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(ieee754sp_spcvals[IEEE754_SPCVAL_PMAX+(sn)])
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#define ieee754sp_min(sn) \
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(ieee754sp_spcvals[IEEE754_SPCVAL_PMIN+(sn)])
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#define ieee754sp_mind(sn) \
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(ieee754sp_spcvals[IEEE754_SPCVAL_PMIND+(sn)])
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#define ieee754sp_1e31() \
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(ieee754sp_spcvals[IEEE754_SPCVAL_P1E31])
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#define ieee754sp_1e63() \
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(ieee754sp_spcvals[IEEE754_SPCVAL_P1E63])
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/* indefinite integer value
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*/
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#define ieee754si_indef() INT_MAX
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#ifdef LONG_LONG_MAX
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#define ieee754di_indef() LONG_LONG_MAX
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#else
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#define ieee754di_indef() ((s64)(~0ULL>>1))
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#endif
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/* IEEE exception context, passed to handler */
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struct ieee754xctx {
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const char *op; /* operation name */
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int rt; /* result type */
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union {
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ieee754sp sp; /* single precision */
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ieee754dp dp; /* double precision */
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#ifdef IEEE854_XP
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ieee754xp xp; /* extended precision */
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#endif
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int si; /* standard signed integer (32bits) */
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s64 di; /* extended signed integer (64bits) */
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} rv; /* default result format implied by op */
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va_list ap;
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};
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/* result types for xctx.rt */
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#define IEEE754_RT_SP 0
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#define IEEE754_RT_DP 1
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#define IEEE754_RT_XP 2
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#define IEEE754_RT_SI 3
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#define IEEE754_RT_DI 4
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extern void ieee754_xcpt(struct ieee754xctx *xcp);
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/* compat */
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#define ieee754dp_fix(x) ieee754dp_tint(x)
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#define ieee754sp_fix(x) ieee754sp_tint(x)
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