|
@@ -1,258 +0,0 @@
|
|
|
-/*
|
|
|
- * 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);
|
|
|
-}
|