178 lines
		
	
	
		
			4.7 KiB
		
	
	
	
		
			C
		
	
	
	
	
	
			
		
		
	
	
			178 lines
		
	
	
		
			4.7 KiB
		
	
	
	
		
			C
		
	
	
	
	
	
/* IEEE754 floating point arithmetic
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 * double precision: common utilities
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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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#include "ieee754dp.h"
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ieee754dp ieee754dp_mul(ieee754dp x, ieee754dp y)
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{
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	COMPXDP;
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	COMPYDP;
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	EXPLODEXDP;
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	EXPLODEYDP;
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	CLEARCX;
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	FLUSHXDP;
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	FLUSHYDP;
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	switch (CLPAIR(xc, yc)) {
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	case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_QNAN):
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	case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_SNAN):
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	case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_SNAN):
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	case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_SNAN):
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	case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_SNAN):
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	case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_SNAN):
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	case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_SNAN):
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	case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_ZERO):
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	case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_NORM):
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	case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_DNORM):
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	case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_INF):
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		SETCX(IEEE754_INVALID_OPERATION);
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		return ieee754dp_nanxcpt(ieee754dp_indef(), "mul", x, y);
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	case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_QNAN):
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	case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_QNAN):
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	case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_QNAN):
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	case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_QNAN):
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		return y;
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	case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_QNAN):
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	case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_ZERO):
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	case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_NORM):
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	case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_DNORM):
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	case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_INF):
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		return x;
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		/* Infinity handling */
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	case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_ZERO):
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	case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_INF):
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		SETCX(IEEE754_INVALID_OPERATION);
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		return ieee754dp_xcpt(ieee754dp_indef(), "mul", x, y);
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	case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_INF):
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	case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_INF):
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	case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_NORM):
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	case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_DNORM):
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	case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_INF):
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		return ieee754dp_inf(xs ^ ys);
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	case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_ZERO):
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	case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_NORM):
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	case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_DNORM):
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	case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_ZERO):
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	case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_ZERO):
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		return ieee754dp_zero(xs ^ ys);
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	case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_DNORM):
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		DPDNORMX;
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	case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_DNORM):
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		DPDNORMY;
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		break;
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	case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_NORM):
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		DPDNORMX;
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		break;
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	case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_NORM):
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		break;
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	}
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	/* rm = xm * ym, re = xe+ye basicly */
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	assert(xm & DP_HIDDEN_BIT);
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	assert(ym & DP_HIDDEN_BIT);
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	{
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		int re = xe + ye;
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		int rs = xs ^ ys;
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		u64 rm;
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		/* shunt to top of word */
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		xm <<= 64 - (DP_MBITS + 1);
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		ym <<= 64 - (DP_MBITS + 1);
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		/* multiply 32bits xm,ym to give high 32bits rm with stickness
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		 */
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		/* 32 * 32 => 64 */
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#define DPXMULT(x, y)	((u64)(x) * (u64)y)
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		{
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			unsigned lxm = xm;
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			unsigned hxm = xm >> 32;
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			unsigned lym = ym;
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			unsigned hym = ym >> 32;
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			u64 lrm;
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			u64 hrm;
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			lrm = DPXMULT(lxm, lym);
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			hrm = DPXMULT(hxm, hym);
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			{
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				u64 t = DPXMULT(lxm, hym);
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				{
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					u64 at =
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					    lrm + (t << 32);
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					hrm += at < lrm;
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					lrm = at;
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				}
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				hrm = hrm + (t >> 32);
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			}
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			{
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				u64 t = DPXMULT(hxm, lym);
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				{
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					u64 at =
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					    lrm + (t << 32);
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					hrm += at < lrm;
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					lrm = at;
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				}
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				hrm = hrm + (t >> 32);
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			}
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			rm = hrm | (lrm != 0);
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		}
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		/*
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		 * sticky shift down to normal rounding precision
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		 */
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		if ((s64) rm < 0) {
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			rm =
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			    (rm >> (64 - (DP_MBITS + 1 + 3))) |
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			    ((rm << (DP_MBITS + 1 + 3)) != 0);
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			re++;
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		} else {
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			rm =
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			    (rm >> (64 - (DP_MBITS + 1 + 3 + 1))) |
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			    ((rm << (DP_MBITS + 1 + 3 + 1)) != 0);
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		}
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		assert(rm & (DP_HIDDEN_BIT << 3));
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		DPNORMRET2(rs, re, rm, "mul", x, y);
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	}
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}
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