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- /*
- * IEEE754 floating point arithmetic
- * single precision: MSUB.f (Fused Multiply Subtract)
- * MSUBF.fmt: FPR[fd] = FPR[fd] - (FPR[fs] x FPR[ft])
- *
- * MIPS floating point support
- * Copyright (C) 2015 Imagination Technologies, Ltd.
- * Author: Markos Chandras <markos.chandras@imgtec.com>
- *
- * This program is free software; you can distribute it and/or modify it
- * under the terms of the GNU General Public License as published by the
- * Free Software Foundation; version 2 of the License.
- */
- #include "ieee754sp.h"
- union ieee754sp ieee754sp_msubf(union ieee754sp z, union ieee754sp x,
- union ieee754sp y)
- {
- int re;
- int rs;
- unsigned rm;
- unsigned short lxm;
- unsigned short hxm;
- unsigned short lym;
- unsigned short hym;
- unsigned lrm;
- unsigned hrm;
- unsigned t;
- unsigned at;
- int s;
- COMPXSP;
- COMPYSP;
- u32 zm; int ze; int zs __maybe_unused; int zc;
- EXPLODEXSP;
- EXPLODEYSP;
- EXPLODESP(z, zc, zs, ze, zm)
- FLUSHXSP;
- FLUSHYSP;
- FLUSHSP(z, zc, zs, ze, zm);
- ieee754_clearcx();
- switch (zc) {
- case IEEE754_CLASS_SNAN:
- ieee754_setcx(IEEE754_INVALID_OPERATION);
- return ieee754sp_nanxcpt(z);
- case IEEE754_CLASS_DNORM:
- SPDNORMx(zm, ze);
- /* QNAN is handled separately below */
- }
- switch (CLPAIR(xc, yc)) {
- case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_SNAN):
- case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_SNAN):
- case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_SNAN):
- case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_SNAN):
- case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_SNAN):
- return ieee754sp_nanxcpt(y);
- case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_SNAN):
- case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_QNAN):
- case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_ZERO):
- case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_NORM):
- case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_DNORM):
- case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_INF):
- return ieee754sp_nanxcpt(x);
- case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_QNAN):
- case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_QNAN):
- case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_QNAN):
- case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_QNAN):
- return y;
- case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_QNAN):
- case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_ZERO):
- case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_NORM):
- case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_DNORM):
- case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_INF):
- return x;
- /*
- * Infinity handling
- */
- case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_ZERO):
- case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_INF):
- if (zc == IEEE754_CLASS_QNAN)
- return z;
- ieee754_setcx(IEEE754_INVALID_OPERATION);
- return ieee754sp_indef();
- case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_INF):
- case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_INF):
- case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_NORM):
- case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_DNORM):
- case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_INF):
- if (zc == IEEE754_CLASS_QNAN)
- return z;
- return ieee754sp_inf(xs ^ ys);
- case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_ZERO):
- case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_NORM):
- case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_DNORM):
- case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_ZERO):
- case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_ZERO):
- if (zc == IEEE754_CLASS_INF)
- return ieee754sp_inf(zs);
- /* Multiplication is 0 so just return z */
- return z;
- case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_DNORM):
- SPDNORMX;
- case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_DNORM):
- if (zc == IEEE754_CLASS_QNAN)
- return z;
- else if (zc == IEEE754_CLASS_INF)
- return ieee754sp_inf(zs);
- SPDNORMY;
- break;
- case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_NORM):
- if (zc == IEEE754_CLASS_QNAN)
- return z;
- else if (zc == IEEE754_CLASS_INF)
- return ieee754sp_inf(zs);
- SPDNORMX;
- break;
- case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_NORM):
- if (zc == IEEE754_CLASS_QNAN)
- return z;
- else if (zc == IEEE754_CLASS_INF)
- return ieee754sp_inf(zs);
- /* fall through to real compuation */
- }
- /* Finally get to do some computation */
- /*
- * Do the multiplication bit first
- *
- * rm = xm * ym, re = xe + ye basically
- *
- * At this point xm and ym should have been normalized.
- */
- /* rm = xm * ym, re = xe+ye basically */
- assert(xm & SP_HIDDEN_BIT);
- assert(ym & SP_HIDDEN_BIT);
- re = xe + ye;
- rs = xs ^ ys;
- /* shunt to top of word */
- xm <<= 32 - (SP_FBITS + 1);
- ym <<= 32 - (SP_FBITS + 1);
- /*
- * Multiply 32 bits xm, ym to give high 32 bits rm with stickness.
- */
- lxm = xm & 0xffff;
- hxm = xm >> 16;
- lym = ym & 0xffff;
- hym = ym >> 16;
- lrm = lxm * lym; /* 16 * 16 => 32 */
- hrm = hxm * hym; /* 16 * 16 => 32 */
- t = lxm * hym; /* 16 * 16 => 32 */
- at = lrm + (t << 16);
- hrm += at < lrm;
- lrm = at;
- hrm = hrm + (t >> 16);
- t = hxm * lym; /* 16 * 16 => 32 */
- at = lrm + (t << 16);
- hrm += at < lrm;
- lrm = at;
- hrm = hrm + (t >> 16);
- rm = hrm | (lrm != 0);
- /*
- * Sticky shift down to normal rounding precision.
- */
- if ((int) rm < 0) {
- rm = (rm >> (32 - (SP_FBITS + 1 + 3))) |
- ((rm << (SP_FBITS + 1 + 3)) != 0);
- re++;
- } else {
- rm = (rm >> (32 - (SP_FBITS + 1 + 3 + 1))) |
- ((rm << (SP_FBITS + 1 + 3 + 1)) != 0);
- }
- assert(rm & (SP_HIDDEN_BIT << 3));
- /* And now the subtraction */
- /* Flip sign of r and handle as add */
- rs ^= 1;
- assert(zm & SP_HIDDEN_BIT);
- /*
- * Provide guard,round and stick bit space.
- */
- zm <<= 3;
- if (ze > re) {
- /*
- * Have to shift y fraction right to align.
- */
- s = ze - re;
- SPXSRSYn(s);
- } else if (re > ze) {
- /*
- * Have to shift x fraction right to align.
- */
- s = re - ze;
- SPXSRSYn(s);
- }
- assert(ze == re);
- assert(ze <= SP_EMAX);
- if (zs == rs) {
- /*
- * Generate 28 bit result of adding two 27 bit numbers
- * leaving result in zm, zs and ze.
- */
- zm = zm + rm;
- if (zm >> (SP_FBITS + 1 + 3)) { /* carry out */
- SPXSRSX1(); /* shift preserving sticky */
- }
- } else {
- if (zm >= rm) {
- zm = zm - rm;
- } else {
- zm = rm - zm;
- zs = rs;
- }
- if (zm == 0)
- return ieee754sp_zero(ieee754_csr.rm == FPU_CSR_RD);
- /*
- * Normalize in extended single precision
- */
- while ((zm >> (SP_MBITS + 3)) == 0) {
- zm <<= 1;
- ze--;
- }
- }
- return ieee754sp_format(zs, ze, zm);
- }
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