ieee754sp.c
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上传日期:2013-02-24
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- /* IEEE754 floating point arithmetic
- * single precision
- */
- /*
- * MIPS floating point support
- * Copyright (C) 1994-2000 Algorithmics Ltd. All rights reserved.
- * http://www.algor.co.uk
- *
- * ########################################################################
- *
- * 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 "ieee754sp.h"
- int ieee754sp_class(ieee754sp x)
- {
- COMPXSP;
- EXPLODEXSP;
- return xc;
- }
- int ieee754sp_isnan(ieee754sp x)
- {
- return ieee754sp_class(x) >= IEEE754_CLASS_SNAN;
- }
- int ieee754sp_issnan(ieee754sp x)
- {
- assert(ieee754sp_isnan(x));
- if (ieee754_csr.noq)
- return 1;
- return !(SPMANT(x) & SP_MBIT(SP_MBITS - 1));
- }
- ieee754sp ieee754sp_xcpt(ieee754sp r, const char *op, ...)
- {
- struct ieee754xctx ax;
- if (!TSTX())
- return r;
- ax.op = op;
- ax.rt = IEEE754_RT_SP;
- ax.rv.sp = r;
- va_start(ax.ap, op);
- ieee754_xcpt(&ax);
- return ax.rv.sp;
- }
- ieee754sp ieee754sp_nanxcpt(ieee754sp r, const char *op, ...)
- {
- struct ieee754xctx ax;
- assert(ieee754sp_isnan(r));
- if (!ieee754sp_issnan(r)) /* QNAN does not cause invalid op !! */
- return r;
- if (!SETCX(IEEE754_INVALID_OPERATION)) {
- /* not enabled convert to a quiet NaN */
- if (ieee754_csr.noq)
- return r;
- SPMANT(r) |= SP_MBIT(SP_MBITS - 1);
- return r;
- }
- ax.op = op;
- ax.rt = 0;
- ax.rv.sp = r;
- va_start(ax.ap, op);
- ieee754_xcpt(&ax);
- return ax.rv.sp;
- }
- ieee754sp ieee754sp_bestnan(ieee754sp x, ieee754sp y)
- {
- assert(ieee754sp_isnan(x));
- assert(ieee754sp_isnan(y));
- if (SPMANT(x) > SPMANT(y))
- return x;
- else
- return y;
- }
- /* generate a normal/denormal number with over,under handeling
- * sn is sign
- * xe is an unbiased exponent
- * xm is 3bit extended precision value.
- */
- ieee754sp ieee754sp_format(int sn, int xe, unsigned xm)
- {
- assert(xm); /* we dont gen exact zeros (probably should) */
- assert((xm >> (SP_MBITS + 1 + 3)) == 0); /* no execess */
- assert(xm & (SP_HIDDEN_BIT << 3));
- if (xe < SP_EMIN) {
- /* strip lower bits */
- int es = SP_EMIN - xe;
- if (ieee754_csr.nod) {
- SETCX(IEEE754_UNDERFLOW);
- return ieee754sp_zero(sn);
- }
- /* sticky right shift es bits
- */
- SPXSRSXn(es);
- assert((xm & (SP_HIDDEN_BIT << 3)) == 0);
- assert(xe == SP_EMIN);
- }
- if (xm & (SP_MBIT(3) - 1)) {
- SETCX(IEEE754_INEXACT);
- /* inexact must round of 3 bits
- */
- 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;
- }
- /* adjust exponent for rounding add overflowing
- */
- if (xm >> (SP_MBITS + 1 + 3)) { /* add causes mantissa overflow */
- xm >>= 1;
- xe++;
- }
- }
- /* strip grs bits */
- xm >>= 3;
- assert((xm >> (SP_MBITS + 1)) == 0); /* no execess */
- assert(xe >= SP_EMIN);
- if (xe > SP_EMAX) {
- SETCX(IEEE754_OVERFLOW);
- /* -O can be table indexed by (rm,sn) */
- switch (ieee754_csr.rm) {
- case IEEE754_RN:
- return ieee754sp_inf(sn);
- case IEEE754_RZ:
- return ieee754sp_max(sn);
- case IEEE754_RU: /* toward +Infinity */
- if (sn == 0)
- return ieee754sp_inf(0);
- else
- return ieee754sp_max(1);
- case IEEE754_RD: /* toward -Infinity */
- if (sn == 0)
- return ieee754sp_max(0);
- else
- return ieee754sp_inf(1);
- }
- }
- /* gen norm/denorm/zero */
- if ((xm & SP_HIDDEN_BIT) == 0) {
- /* we underflow (tiny/zero) */
- assert(xe == SP_EMIN);
- SETCX(IEEE754_UNDERFLOW);
- return buildsp(sn, SP_EMIN - 1 + SP_EBIAS, xm);
- } else {
- assert((xm >> (SP_MBITS + 1)) == 0); /* no execess */
- assert(xm & SP_HIDDEN_BIT);
- return buildsp(sn, xe + SP_EBIAS, xm & ~SP_HIDDEN_BIT);
- }
- }