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- /* IEEE754 floating point arithmetic
- * double precision: common utilities
- */
- /*
- * MIPS floating point support
- * Copyright (C) 1994-2000 Algorithmics Ltd.
- *
- * ########################################################################
- *
- * This program is free software; you can distribute it and/or modify it
- * under the terms of the GNU General Public License (Version 2) as
- * published by the Free Software Foundation.
- *
- * This program is distributed in the hope it will be useful, but WITHOUT
- * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
- * FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
- * for more details.
- *
- * You should have received a copy of the GNU General Public License along
- * with this program; if not, write to the Free Software Foundation, Inc.,
- * 59 Temple Place - Suite 330, Boston MA 02111-1307, USA.
- *
- * ########################################################################
- */
- #include "ieee754dp.h"
- int ieee754dp_class(ieee754dp x)
- {
- COMPXDP;
- EXPLODEXDP;
- return xc;
- }
- int ieee754dp_isnan(ieee754dp x)
- {
- return ieee754dp_class(x) >= IEEE754_CLASS_SNAN;
- }
- int ieee754dp_issnan(ieee754dp x)
- {
- assert(ieee754dp_isnan(x));
- return ((DPMANT(x) & DP_MBIT(DP_MBITS-1)) == DP_MBIT(DP_MBITS-1));
- }
- ieee754dp ieee754dp_xcpt(ieee754dp r, const char *op, ...)
- {
- struct ieee754xctx ax;
- if (!TSTX())
- return r;
- ax.op = op;
- ax.rt = IEEE754_RT_DP;
- ax.rv.dp = r;
- va_start(ax.ap, op);
- ieee754_xcpt(&ax);
- va_end(ax.ap);
- return ax.rv.dp;
- }
- ieee754dp ieee754dp_nanxcpt(ieee754dp r, const char *op, ...)
- {
- struct ieee754xctx ax;
- assert(ieee754dp_isnan(r));
- if (!ieee754dp_issnan(r)) /* QNAN does not cause invalid op !! */
- return r;
- if (!SETANDTESTCX(IEEE754_INVALID_OPERATION)) {
- /* not enabled convert to a quiet NaN */
- DPMANT(r) &= (~DP_MBIT(DP_MBITS-1));
- if (ieee754dp_isnan(r))
- return r;
- else
- return ieee754dp_indef();
- }
- ax.op = op;
- ax.rt = 0;
- ax.rv.dp = r;
- va_start(ax.ap, op);
- ieee754_xcpt(&ax);
- va_end(ax.ap);
- return ax.rv.dp;
- }
- ieee754dp ieee754dp_bestnan(ieee754dp x, ieee754dp y)
- {
- assert(ieee754dp_isnan(x));
- assert(ieee754dp_isnan(y));
- if (DPMANT(x) > DPMANT(y))
- return x;
- else
- return y;
- }
- static u64 get_rounding(int sn, u64 xm)
- {
- /* inexact must round of 3 bits
- */
- if (xm & (DP_MBIT(3) - 1)) {
- switch (ieee754_csr.rm) {
- case IEEE754_RZ:
- break;
- case IEEE754_RN:
- xm += 0x3 + ((xm >> 3) & 1);
- /* xm += (xm&0x8)?0x4:0x3 */
- break;
- case IEEE754_RU: /* toward +Infinity */
- if (!sn) /* ?? */
- xm += 0x8;
- break;
- case IEEE754_RD: /* toward -Infinity */
- if (sn) /* ?? */
- xm += 0x8;
- break;
- }
- }
- return xm;
- }
- /* generate a normal/denormal number with over,under handling
- * sn is sign
- * xe is an unbiased exponent
- * xm is 3bit extended precision value.
- */
- ieee754dp ieee754dp_format(int sn, int xe, u64 xm)
- {
- assert(xm); /* we don't gen exact zeros (probably should) */
- assert((xm >> (DP_MBITS + 1 + 3)) == 0); /* no execess */
- assert(xm & (DP_HIDDEN_BIT << 3));
- if (xe < DP_EMIN) {
- /* strip lower bits */
- int es = DP_EMIN - xe;
- if (ieee754_csr.nod) {
- SETCX(IEEE754_UNDERFLOW);
- SETCX(IEEE754_INEXACT);
- switch(ieee754_csr.rm) {
- case IEEE754_RN:
- case IEEE754_RZ:
- return ieee754dp_zero(sn);
- case IEEE754_RU: /* toward +Infinity */
- if(sn == 0)
- return ieee754dp_min(0);
- else
- return ieee754dp_zero(1);
- case IEEE754_RD: /* toward -Infinity */
- if(sn == 0)
- return ieee754dp_zero(0);
- else
- return ieee754dp_min(1);
- }
- }
- if (xe == DP_EMIN - 1
- && get_rounding(sn, xm) >> (DP_MBITS + 1 + 3))
- {
- /* Not tiny after rounding */
- SETCX(IEEE754_INEXACT);
- xm = get_rounding(sn, xm);
- xm >>= 1;
- /* Clear grs bits */
- xm &= ~(DP_MBIT(3) - 1);
- xe++;
- }
- else {
- /* sticky right shift es bits
- */
- xm = XDPSRS(xm, es);
- xe += es;
- assert((xm & (DP_HIDDEN_BIT << 3)) == 0);
- assert(xe == DP_EMIN);
- }
- }
- if (xm & (DP_MBIT(3) - 1)) {
- SETCX(IEEE754_INEXACT);
- if ((xm & (DP_HIDDEN_BIT << 3)) == 0) {
- SETCX(IEEE754_UNDERFLOW);
- }
- /* inexact must round of 3 bits
- */
- xm = get_rounding(sn, xm);
- /* adjust exponent for rounding add overflowing
- */
- if (xm >> (DP_MBITS + 3 + 1)) {
- /* add causes mantissa overflow */
- xm >>= 1;
- xe++;
- }
- }
- /* strip grs bits */
- xm >>= 3;
- assert((xm >> (DP_MBITS + 1)) == 0); /* no execess */
- assert(xe >= DP_EMIN);
- if (xe > DP_EMAX) {
- SETCX(IEEE754_OVERFLOW);
- SETCX(IEEE754_INEXACT);
- /* -O can be table indexed by (rm,sn) */
- switch (ieee754_csr.rm) {
- case IEEE754_RN:
- return ieee754dp_inf(sn);
- case IEEE754_RZ:
- return ieee754dp_max(sn);
- case IEEE754_RU: /* toward +Infinity */
- if (sn == 0)
- return ieee754dp_inf(0);
- else
- return ieee754dp_max(1);
- case IEEE754_RD: /* toward -Infinity */
- if (sn == 0)
- return ieee754dp_max(0);
- else
- return ieee754dp_inf(1);
- }
- }
- /* gen norm/denorm/zero */
- if ((xm & DP_HIDDEN_BIT) == 0) {
- /* we underflow (tiny/zero) */
- assert(xe == DP_EMIN);
- if (ieee754_csr.mx & IEEE754_UNDERFLOW)
- SETCX(IEEE754_UNDERFLOW);
- return builddp(sn, DP_EMIN - 1 + DP_EBIAS, xm);
- } else {
- assert((xm >> (DP_MBITS + 1)) == 0); /* no execess */
- assert(xm & DP_HIDDEN_BIT);
- return builddp(sn, xe + DP_EBIAS, xm & ~DP_HIDDEN_BIT);
- }
- }
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