2005-04-16 16:20:36 -06:00
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/* 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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*
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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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int ieee754dp_class(ieee754dp x)
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{
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COMPXDP;
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EXPLODEXDP;
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return xc;
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}
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int ieee754dp_isnan(ieee754dp x)
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{
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return ieee754dp_class(x) >= IEEE754_CLASS_SNAN;
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}
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int ieee754dp_issnan(ieee754dp x)
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{
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assert(ieee754dp_isnan(x));
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return ((DPMANT(x) & DP_MBIT(DP_MBITS-1)) == DP_MBIT(DP_MBITS-1));
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}
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ieee754dp ieee754dp_xcpt(ieee754dp r, const char *op, ...)
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{
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struct ieee754xctx ax;
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if (!TSTX())
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return r;
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ax.op = op;
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ax.rt = IEEE754_RT_DP;
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ax.rv.dp = r;
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va_start(ax.ap, op);
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ieee754_xcpt(&ax);
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2007-11-24 14:22:19 -07:00
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va_end(ax.ap);
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2005-04-16 16:20:36 -06:00
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return ax.rv.dp;
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}
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ieee754dp ieee754dp_nanxcpt(ieee754dp r, const char *op, ...)
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{
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struct ieee754xctx ax;
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assert(ieee754dp_isnan(r));
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if (!ieee754dp_issnan(r)) /* QNAN does not cause invalid op !! */
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return r;
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if (!SETANDTESTCX(IEEE754_INVALID_OPERATION)) {
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/* not enabled convert to a quiet NaN */
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DPMANT(r) &= (~DP_MBIT(DP_MBITS-1));
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if (ieee754dp_isnan(r))
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return r;
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else
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return ieee754dp_indef();
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}
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ax.op = op;
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ax.rt = 0;
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ax.rv.dp = r;
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va_start(ax.ap, op);
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ieee754_xcpt(&ax);
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2007-11-24 14:22:19 -07:00
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va_end(ax.ap);
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2005-04-16 16:20:36 -06:00
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return ax.rv.dp;
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}
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ieee754dp ieee754dp_bestnan(ieee754dp x, ieee754dp y)
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{
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assert(ieee754dp_isnan(x));
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assert(ieee754dp_isnan(y));
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if (DPMANT(x) > DPMANT(y))
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return x;
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else
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return y;
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}
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static u64 get_rounding(int sn, u64 xm)
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{
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/* inexact must round of 3 bits
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*/
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if (xm & (DP_MBIT(3) - 1)) {
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switch (ieee754_csr.rm) {
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case IEEE754_RZ:
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break;
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case IEEE754_RN:
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xm += 0x3 + ((xm >> 3) & 1);
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/* xm += (xm&0x8)?0x4:0x3 */
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break;
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case IEEE754_RU: /* toward +Infinity */
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if (!sn) /* ?? */
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xm += 0x8;
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break;
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case IEEE754_RD: /* toward -Infinity */
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2013-01-22 04:59:30 -07:00
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if (sn) /* ?? */
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2005-04-16 16:20:36 -06:00
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xm += 0x8;
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break;
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}
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}
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return xm;
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}
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/* generate a normal/denormal number with over,under handling
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* sn is sign
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* xe is an unbiased exponent
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* xm is 3bit extended precision value.
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*/
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ieee754dp ieee754dp_format(int sn, int xe, u64 xm)
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{
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assert(xm); /* we don't gen exact zeros (probably should) */
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assert((xm >> (DP_MBITS + 1 + 3)) == 0); /* no execess */
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assert(xm & (DP_HIDDEN_BIT << 3));
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if (xe < DP_EMIN) {
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/* strip lower bits */
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int es = DP_EMIN - xe;
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if (ieee754_csr.nod) {
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SETCX(IEEE754_UNDERFLOW);
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SETCX(IEEE754_INEXACT);
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switch(ieee754_csr.rm) {
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case IEEE754_RN:
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case IEEE754_RZ:
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return ieee754dp_zero(sn);
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case IEEE754_RU: /* toward +Infinity */
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if(sn == 0)
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return ieee754dp_min(0);
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else
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return ieee754dp_zero(1);
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case IEEE754_RD: /* toward -Infinity */
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if(sn == 0)
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return ieee754dp_zero(0);
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else
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return ieee754dp_min(1);
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}
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}
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if (xe == DP_EMIN - 1
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&& get_rounding(sn, xm) >> (DP_MBITS + 1 + 3))
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{
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/* Not tiny after rounding */
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SETCX(IEEE754_INEXACT);
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xm = get_rounding(sn, xm);
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xm >>= 1;
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/* Clear grs bits */
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xm &= ~(DP_MBIT(3) - 1);
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xe++;
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}
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else {
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/* sticky right shift es bits
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*/
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xm = XDPSRS(xm, es);
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xe += es;
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assert((xm & (DP_HIDDEN_BIT << 3)) == 0);
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assert(xe == DP_EMIN);
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}
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}
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if (xm & (DP_MBIT(3) - 1)) {
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SETCX(IEEE754_INEXACT);
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if ((xm & (DP_HIDDEN_BIT << 3)) == 0) {
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SETCX(IEEE754_UNDERFLOW);
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}
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/* inexact must round of 3 bits
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*/
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xm = get_rounding(sn, xm);
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/* adjust exponent for rounding add overflowing
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*/
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if (xm >> (DP_MBITS + 3 + 1)) {
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/* add causes mantissa overflow */
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xm >>= 1;
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xe++;
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}
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}
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/* strip grs bits */
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xm >>= 3;
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assert((xm >> (DP_MBITS + 1)) == 0); /* no execess */
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assert(xe >= DP_EMIN);
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if (xe > DP_EMAX) {
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SETCX(IEEE754_OVERFLOW);
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SETCX(IEEE754_INEXACT);
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/* -O can be table indexed by (rm,sn) */
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switch (ieee754_csr.rm) {
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case IEEE754_RN:
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return ieee754dp_inf(sn);
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case IEEE754_RZ:
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return ieee754dp_max(sn);
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case IEEE754_RU: /* toward +Infinity */
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if (sn == 0)
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return ieee754dp_inf(0);
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else
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return ieee754dp_max(1);
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case IEEE754_RD: /* toward -Infinity */
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if (sn == 0)
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return ieee754dp_max(0);
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else
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return ieee754dp_inf(1);
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}
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}
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/* gen norm/denorm/zero */
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if ((xm & DP_HIDDEN_BIT) == 0) {
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/* we underflow (tiny/zero) */
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assert(xe == DP_EMIN);
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if (ieee754_csr.mx & IEEE754_UNDERFLOW)
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SETCX(IEEE754_UNDERFLOW);
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return builddp(sn, DP_EMIN - 1 + DP_EBIAS, xm);
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} else {
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assert((xm >> (DP_MBITS + 1)) == 0); /* no execess */
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assert(xm & DP_HIDDEN_BIT);
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return builddp(sn, xe + DP_EBIAS, xm & ~DP_HIDDEN_BIT);
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}
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}
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