25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis/*
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * CDDL HEADER START
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis *
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * The contents of this file are subject to the terms of the
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * Common Development and Distribution License (the "License").
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * You may not use this file except in compliance with the License.
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis *
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * You can obtain a copy of the license at usr/src/OPENSOLARIS.LICENSE
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * or http://www.opensolaris.org/os/licensing.
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * See the License for the specific language governing permissions
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * and limitations under the License.
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis *
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * When distributing Covered Code, include this CDDL HEADER in each
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * file and include the License file at usr/src/OPENSOLARIS.LICENSE.
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * If applicable, add the following below this CDDL HEADER, with the
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * fields enclosed by brackets "[]" replaced with your own identifying
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * information: Portions Copyright [yyyy] [name of copyright owner]
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis *
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * CDDL HEADER END
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis/*
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * Copyright 2011 Nexenta Systems, Inc. All rights reserved.
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis/*
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * Copyright 2006 Sun Microsystems, Inc. All rights reserved.
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * Use is subject to license terms.
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis#pragma weak fmal = __fmal
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis#include "libm.h"
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis#include "fma.h"
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis#include "fenv_inlines.h"
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis#if defined(__sparc)
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtisstatic const union {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis unsigned i[2];
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis double d;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis} C[] = {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis { 0x3fe00000u, 0 },
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis { 0x40000000u, 0 },
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis { 0x3ef00000u, 0 },
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis { 0x3e700000u, 0 },
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis { 0x41300000u, 0 },
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis { 0x3e300000u, 0 },
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis { 0x3b300000u, 0 },
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis { 0x38300000u, 0 },
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis { 0x42300000u, 0 },
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis { 0x3df00000u, 0 },
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis { 0x7fe00000u, 0 },
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis { 0x00100000u, 0 },
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis { 0x00100001u, 0 },
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis { 0, 0 },
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis { 0x7ff00000u, 0 },
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis { 0x7ff00001u, 0 }
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis};
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis#define half C[0].d
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis#define two C[1].d
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis#define twom16 C[2].d
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis#define twom24 C[3].d
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis#define two20 C[4].d
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis#define twom28 C[5].d
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis#define twom76 C[6].d
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis#define twom124 C[7].d
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis#define two36 C[8].d
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis#define twom32 C[9].d
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis#define huge C[10].d
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis#define tiny C[11].d
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis#define tiny2 C[12].d
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis#define zero C[13].d
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis#define inf C[14].d
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis#define snan C[15].d
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtisstatic const unsigned int fsr_rm = 0xc0000000u;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis/*
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * fmal for SPARC: 128-bit quad precision, big-endian
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtislong double
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis__fmal(long double x, long double y, long double z) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis union {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis unsigned int i[4];
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis long double q;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis } xx, yy, zz;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis union {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis unsigned int i[2];
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis double d;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis } u;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis double dx[5], dy[5], dxy[9], c, s;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis unsigned int xy0, xy1, xy2, xy3, xy4, xy5, xy6, xy7;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis unsigned int z0, z1, z2, z3, z4, z5, z6, z7;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis unsigned int rm, sticky;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis unsigned int fsr;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis int hx, hy, hz, ex, ey, ez, exy, sxy, sz, e, ibit;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis int cx, cy, cz;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis volatile double dummy;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis /* extract the high order words of the arguments */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xx.q = x;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis yy.q = y;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis zz.q = z;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis hx = xx.i[0] & ~0x80000000;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis hy = yy.i[0] & ~0x80000000;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis hz = zz.i[0] & ~0x80000000;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis /*
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * distinguish zero, finite nonzero, infinite, and quiet nan
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * arguments; raise invalid and return for signaling nans
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (hx >= 0x7fff0000) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if ((hx & 0xffff) | xx.i[1] | xx.i[2] | xx.i[3]) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (!(hx & 0x8000)) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis /* signaling nan, raise invalid */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis dummy = snan;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis dummy += snan;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xx.i[0] |= 0x8000;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis return (xx.q);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis }
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis cx = 3; /* quiet nan */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis } else
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis cx = 2; /* inf */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis } else if (hx == 0) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis cx = (xx.i[1] | xx.i[2] | xx.i[3]) ? 1 : 0;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis /* subnormal or zero */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis } else
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis cx = 1; /* finite nonzero */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (hy >= 0x7fff0000) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if ((hy & 0xffff) | yy.i[1] | yy.i[2] | yy.i[3]) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (!(hy & 0x8000)) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis dummy = snan;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis dummy += snan;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis yy.i[0] |= 0x8000;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis return (yy.q);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis }
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis cy = 3;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis } else
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis cy = 2;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis } else if (hy == 0) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis cy = (yy.i[1] | yy.i[2] | yy.i[3]) ? 1 : 0;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis } else
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis cy = 1;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (hz >= 0x7fff0000) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if ((hz & 0xffff) | zz.i[1] | zz.i[2] | zz.i[3]) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (!(hz & 0x8000)) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis dummy = snan;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis dummy += snan;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis zz.i[0] |= 0x8000;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis return (zz.q);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis }
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis cz = 3;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis } else
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis cz = 2;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis } else if (hz == 0) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis cz = (zz.i[1] | zz.i[2] | zz.i[3]) ? 1 : 0;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis } else
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis cz = 1;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis /* get the fsr and clear current exceptions */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis __fenv_getfsr32(&fsr);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis fsr &= ~FSR_CEXC;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis /* handle all other zero, inf, and nan cases */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (cx != 1 || cy != 1 || cz != 1) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis /* if x or y is a quiet nan, return it */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (cx == 3) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis __fenv_setfsr32(&fsr);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis return (x);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis }
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (cy == 3) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis __fenv_setfsr32(&fsr);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis return (y);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis }
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis /* if x*y is 0*inf, raise invalid and return the default nan */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if ((cx == 0 && cy == 2) || (cx == 2 && cy == 0)) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis dummy = zero;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis dummy *= inf;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis zz.i[0] = 0x7fffffff;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis zz.i[1] = zz.i[2] = zz.i[3] = 0xffffffff;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis return (zz.q);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis }
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis /* if z is a quiet nan, return it */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (cz == 3) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis __fenv_setfsr32(&fsr);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis return (z);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis }
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis /*
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * now none of x, y, or z is nan; handle cases where x or y
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * is inf
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (cx == 2 || cy == 2) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis /*
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * if z is also inf, either we have inf-inf or
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * the result is the same as z depending on signs
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (cz == 2) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if ((int) ((xx.i[0] ^ yy.i[0]) ^ zz.i[0]) < 0) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis dummy = inf;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis dummy -= inf;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis zz.i[0] = 0x7fffffff;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis zz.i[1] = zz.i[2] = zz.i[3] =
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis 0xffffffff;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis return (zz.q);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis }
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis __fenv_setfsr32(&fsr);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis return (z);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis }
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis /* otherwise the result is inf with appropriate sign */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis zz.i[0] = ((xx.i[0] ^ yy.i[0]) & 0x80000000) |
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis 0x7fff0000;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis zz.i[1] = zz.i[2] = zz.i[3] = 0;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis __fenv_setfsr32(&fsr);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis return (zz.q);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis }
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis /* if z is inf, return it */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (cz == 2) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis __fenv_setfsr32(&fsr);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis return (z);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis }
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis /*
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * now x, y, and z are all finite; handle cases where x or y
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * is zero
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (cx == 0 || cy == 0) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis /* either we have 0-0 or the result is the same as z */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (cz == 0 && (int) ((xx.i[0] ^ yy.i[0]) ^ zz.i[0]) <
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis 0) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis zz.i[0] = (fsr >> 30) == FSR_RM ? 0x80000000 :
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis 0;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis __fenv_setfsr32(&fsr);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis return (zz.q);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis }
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis __fenv_setfsr32(&fsr);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis return (z);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis }
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis /* if we get here, x and y are nonzero finite, z must be zero */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis return (x * y);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis }
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis /*
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * now x, y, and z are all finite and nonzero; set round-to-
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * negative-infinity mode
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis __fenv_setfsr32(&fsr_rm);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis /*
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * get the signs and exponents and normalize the significands
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * of x and y
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis sxy = (xx.i[0] ^ yy.i[0]) & 0x80000000;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis ex = hx >> 16;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis hx &= 0xffff;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (!ex) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (hx | (xx.i[1] & 0xfffe0000)) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis ex = 1;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis } else if (xx.i[1] | (xx.i[2] & 0xfffe0000)) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis hx = xx.i[1];
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xx.i[1] = xx.i[2];
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xx.i[2] = xx.i[3];
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xx.i[3] = 0;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis ex = -31;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis } else if (xx.i[2] | (xx.i[3] & 0xfffe0000)) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis hx = xx.i[2];
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xx.i[1] = xx.i[3];
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xx.i[2] = xx.i[3] = 0;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis ex = -63;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis } else {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis hx = xx.i[3];
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xx.i[1] = xx.i[2] = xx.i[3] = 0;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis ex = -95;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis }
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis while ((hx & 0x10000) == 0) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis hx = (hx << 1) | (xx.i[1] >> 31);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xx.i[1] = (xx.i[1] << 1) | (xx.i[2] >> 31);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xx.i[2] = (xx.i[2] << 1) | (xx.i[3] >> 31);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xx.i[3] <<= 1;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis ex--;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis }
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis } else
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis hx |= 0x10000;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis ey = hy >> 16;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis hy &= 0xffff;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (!ey) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (hy | (yy.i[1] & 0xfffe0000)) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis ey = 1;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis } else if (yy.i[1] | (yy.i[2] & 0xfffe0000)) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis hy = yy.i[1];
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis yy.i[1] = yy.i[2];
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis yy.i[2] = yy.i[3];
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis yy.i[3] = 0;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis ey = -31;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis } else if (yy.i[2] | (yy.i[3] & 0xfffe0000)) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis hy = yy.i[2];
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis yy.i[1] = yy.i[3];
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis yy.i[2] = yy.i[3] = 0;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis ey = -63;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis } else {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis hy = yy.i[3];
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis yy.i[1] = yy.i[2] = yy.i[3] = 0;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis ey = -95;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis }
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis while ((hy & 0x10000) == 0) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis hy = (hy << 1) | (yy.i[1] >> 31);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis yy.i[1] = (yy.i[1] << 1) | (yy.i[2] >> 31);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis yy.i[2] = (yy.i[2] << 1) | (yy.i[3] >> 31);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis yy.i[3] <<= 1;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis ey--;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis }
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis } else
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis hy |= 0x10000;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis exy = ex + ey - 0x3fff;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis /* convert the significands of x and y to doubles */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis c = twom16;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis dx[0] = (double) ((int) hx) * c;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis dy[0] = (double) ((int) hy) * c;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis c *= twom24;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis dx[1] = (double) ((int) (xx.i[1] >> 8)) * c;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis dy[1] = (double) ((int) (yy.i[1] >> 8)) * c;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis c *= twom24;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis dx[2] = (double) ((int) (((xx.i[1] << 16) | (xx.i[2] >> 16)) &
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis 0xffffff)) * c;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis dy[2] = (double) ((int) (((yy.i[1] << 16) | (yy.i[2] >> 16)) &
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis 0xffffff)) * c;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis c *= twom24;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis dx[3] = (double) ((int) (((xx.i[2] << 8) | (xx.i[3] >> 24)) &
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis 0xffffff)) * c;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis dy[3] = (double) ((int) (((yy.i[2] << 8) | (yy.i[3] >> 24)) &
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis 0xffffff)) * c;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis c *= twom24;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis dx[4] = (double) ((int) (xx.i[3] & 0xffffff)) * c;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis dy[4] = (double) ((int) (yy.i[3] & 0xffffff)) * c;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis /* form the "digits" of the product */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis dxy[0] = dx[0] * dy[0];
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis dxy[1] = dx[0] * dy[1] + dx[1] * dy[0];
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis dxy[2] = dx[0] * dy[2] + dx[1] * dy[1] + dx[2] * dy[0];
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis dxy[3] = dx[0] * dy[3] + dx[1] * dy[2] + dx[2] * dy[1] +
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis dx[3] * dy[0];
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis dxy[4] = dx[0] * dy[4] + dx[1] * dy[3] + dx[2] * dy[2] +
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis dx[3] * dy[1] + dx[4] * dy[0];
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis dxy[5] = dx[1] * dy[4] + dx[2] * dy[3] + dx[3] * dy[2] +
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis dx[4] * dy[1];
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis dxy[6] = dx[2] * dy[4] + dx[3] * dy[3] + dx[4] * dy[2];
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis dxy[7] = dx[3] * dy[4] + dx[4] * dy[3];
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis dxy[8] = dx[4] * dy[4];
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis /* split odd-numbered terms and combine into even-numbered terms */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis c = (dxy[1] + two20) - two20;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis dxy[0] += c;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis dxy[1] -= c;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis c = (dxy[3] + twom28) - twom28;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis dxy[2] += c + dxy[1];
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis dxy[3] -= c;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis c = (dxy[5] + twom76) - twom76;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis dxy[4] += c + dxy[3];
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis dxy[5] -= c;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis c = (dxy[7] + twom124) - twom124;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis dxy[6] += c + dxy[5];
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis dxy[8] += (dxy[7] - c);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis /* propagate carries, adjusting the exponent if need be */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis dxy[7] = dxy[6] + dxy[8];
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis dxy[5] = dxy[4] + dxy[7];
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis dxy[3] = dxy[2] + dxy[5];
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis dxy[1] = dxy[0] + dxy[3];
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (dxy[1] >= two) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis dxy[0] *= half;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis dxy[1] *= half;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis dxy[2] *= half;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis dxy[3] *= half;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis dxy[4] *= half;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis dxy[5] *= half;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis dxy[6] *= half;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis dxy[7] *= half;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis dxy[8] *= half;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis exy++;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis }
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis /* extract the significand of x*y */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis s = two36;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis u.d = c = dxy[1] + s;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy0 = u.i[1];
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis c -= s;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis dxy[1] -= c;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis dxy[0] -= c;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis s *= twom32;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis u.d = c = dxy[1] + s;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy1 = u.i[1];
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis c -= s;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis dxy[2] += (dxy[0] - c);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis dxy[3] = dxy[2] + dxy[5];
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis s *= twom32;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis u.d = c = dxy[3] + s;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy2 = u.i[1];
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis c -= s;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis dxy[4] += (dxy[2] - c);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis dxy[5] = dxy[4] + dxy[7];
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis s *= twom32;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis u.d = c = dxy[5] + s;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy3 = u.i[1];
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis c -= s;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis dxy[4] -= c;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis dxy[5] = dxy[4] + dxy[7];
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis s *= twom32;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis u.d = c = dxy[5] + s;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy4 = u.i[1];
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis c -= s;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis dxy[6] += (dxy[4] - c);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis dxy[7] = dxy[6] + dxy[8];
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis s *= twom32;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis u.d = c = dxy[7] + s;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy5 = u.i[1];
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis c -= s;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis dxy[8] += (dxy[6] - c);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis s *= twom32;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis u.d = c = dxy[8] + s;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy6 = u.i[1];
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis c -= s;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis dxy[8] -= c;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis s *= twom32;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis u.d = c = dxy[8] + s;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy7 = u.i[1];
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis /* extract the sign, exponent, and significand of z */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis sz = zz.i[0] & 0x80000000;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis ez = hz >> 16;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z0 = hz & 0xffff;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (!ez) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (z0 | (zz.i[1] & 0xfffe0000)) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z1 = zz.i[1];
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z2 = zz.i[2];
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z3 = zz.i[3];
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis ez = 1;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis } else if (zz.i[1] | (zz.i[2] & 0xfffe0000)) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z0 = zz.i[1];
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z1 = zz.i[2];
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z2 = zz.i[3];
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z3 = 0;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis ez = -31;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis } else if (zz.i[2] | (zz.i[3] & 0xfffe0000)) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z0 = zz.i[2];
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z1 = zz.i[3];
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z2 = z3 = 0;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis ez = -63;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis } else {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z0 = zz.i[3];
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z1 = z2 = z3 = 0;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis ez = -95;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis }
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis while ((z0 & 0x10000) == 0) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z0 = (z0 << 1) | (z1 >> 31);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z1 = (z1 << 1) | (z2 >> 31);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z2 = (z2 << 1) | (z3 >> 31);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z3 <<= 1;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis ez--;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis }
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis } else {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z0 |= 0x10000;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z1 = zz.i[1];
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z2 = zz.i[2];
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z3 = zz.i[3];
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis }
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z4 = z5 = z6 = z7 = 0;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis /*
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * now x*y is represented by sxy, exy, and xy[0-7], and z is
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * represented likewise; swap if need be so |xy| <= |z|
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (exy > ez || (exy == ez && (xy0 > z0 || (xy0 == z0 && (xy1 > z1 ||
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis (xy1 == z1 && (xy2 > z2 || (xy2 == z2 && (xy3 > z3 ||
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis (xy3 == z3 && (xy4 | xy5 | xy6 | xy7) != 0)))))))))) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis e = sxy; sxy = sz; sz = e;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis e = exy; exy = ez; ez = e;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis e = xy0; xy0 = z0; z0 = e;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis e = xy1; xy1 = z1; z1 = e;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis e = xy2; xy2 = z2; z2 = e;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis e = xy3; xy3 = z3; z3 = e;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z4 = xy4; xy4 = 0;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z5 = xy5; xy5 = 0;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z6 = xy6; xy6 = 0;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z7 = xy7; xy7 = 0;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis }
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis /* shift the significand of xy keeping a sticky bit */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis e = ez - exy;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (e > 236) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy0 = xy1 = xy2 = xy3 = xy4 = xy5 = xy6 = 0;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy7 = 1;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis } else if (e >= 224) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis sticky = xy7 | xy6 | xy5 | xy4 | xy3 | xy2 | xy1 |
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis ((xy0 << 1) << (255 - e));
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy7 = xy0 >> (e - 224);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (sticky)
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy7 |= 1;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy0 = xy1 = xy2 = xy3 = xy4 = xy5 = xy6 = 0;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis } else if (e >= 192) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis sticky = xy7 | xy6 | xy5 | xy4 | xy3 | xy2 |
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis ((xy1 << 1) << (223 - e));
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy7 = (xy1 >> (e - 192)) | ((xy0 << 1) << (223 - e));
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (sticky)
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy7 |= 1;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy6 = xy0 >> (e - 192);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy0 = xy1 = xy2 = xy3 = xy4 = xy5 = 0;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis } else if (e >= 160) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis sticky = xy7 | xy6 | xy5 | xy4 | xy3 |
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis ((xy2 << 1) << (191 - e));
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy7 = (xy2 >> (e - 160)) | ((xy1 << 1) << (191 - e));
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (sticky)
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy7 |= 1;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy6 = (xy1 >> (e - 160)) | ((xy0 << 1) << (191 - e));
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy5 = xy0 >> (e - 160);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy0 = xy1 = xy2 = xy3 = xy4 = 0;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis } else if (e >= 128) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis sticky = xy7 | xy6 | xy5 | xy4 | ((xy3 << 1) << (159 - e));
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy7 = (xy3 >> (e - 128)) | ((xy2 << 1) << (159 - e));
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (sticky)
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy7 |= 1;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy6 = (xy2 >> (e - 128)) | ((xy1 << 1) << (159 - e));
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy5 = (xy1 >> (e - 128)) | ((xy0 << 1) << (159 - e));
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy4 = xy0 >> (e - 128);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy0 = xy1 = xy2 = xy3 = 0;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis } else if (e >= 96) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis sticky = xy7 | xy6 | xy5 | ((xy4 << 1) << (127 - e));
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy7 = (xy4 >> (e - 96)) | ((xy3 << 1) << (127 - e));
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (sticky)
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy7 |= 1;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy6 = (xy3 >> (e - 96)) | ((xy2 << 1) << (127 - e));
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy5 = (xy2 >> (e - 96)) | ((xy1 << 1) << (127 - e));
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy4 = (xy1 >> (e - 96)) | ((xy0 << 1) << (127 - e));
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy3 = xy0 >> (e - 96);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy0 = xy1 = xy2 = 0;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis } else if (e >= 64) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis sticky = xy7 | xy6 | ((xy5 << 1) << (95 - e));
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy7 = (xy5 >> (e - 64)) | ((xy4 << 1) << (95 - e));
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (sticky)
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy7 |= 1;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy6 = (xy4 >> (e - 64)) | ((xy3 << 1) << (95 - e));
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy5 = (xy3 >> (e - 64)) | ((xy2 << 1) << (95 - e));
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy4 = (xy2 >> (e - 64)) | ((xy1 << 1) << (95 - e));
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy3 = (xy1 >> (e - 64)) | ((xy0 << 1) << (95 - e));
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy2 = xy0 >> (e - 64);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy0 = xy1 = 0;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis } else if (e >= 32) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis sticky = xy7 | ((xy6 << 1) << (63 - e));
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy7 = (xy6 >> (e - 32)) | ((xy5 << 1) << (63 - e));
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (sticky)
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy7 |= 1;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy6 = (xy5 >> (e - 32)) | ((xy4 << 1) << (63 - e));
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy5 = (xy4 >> (e - 32)) | ((xy3 << 1) << (63 - e));
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy4 = (xy3 >> (e - 32)) | ((xy2 << 1) << (63 - e));
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy3 = (xy2 >> (e - 32)) | ((xy1 << 1) << (63 - e));
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy2 = (xy1 >> (e - 32)) | ((xy0 << 1) << (63 - e));
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy1 = xy0 >> (e - 32);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy0 = 0;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis } else if (e) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis sticky = (xy7 << 1) << (31 - e);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy7 = (xy7 >> e) | ((xy6 << 1) << (31 - e));
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (sticky)
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy7 |= 1;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy6 = (xy6 >> e) | ((xy5 << 1) << (31 - e));
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy5 = (xy5 >> e) | ((xy4 << 1) << (31 - e));
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy4 = (xy4 >> e) | ((xy3 << 1) << (31 - e));
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy3 = (xy3 >> e) | ((xy2 << 1) << (31 - e));
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy2 = (xy2 >> e) | ((xy1 << 1) << (31 - e));
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy1 = (xy1 >> e) | ((xy0 << 1) << (31 - e));
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy0 >>= e;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis }
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis /* if this is a magnitude subtract, negate the significand of xy */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (sxy ^ sz) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy0 = ~xy0;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy1 = ~xy1;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy2 = ~xy2;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy3 = ~xy3;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy4 = ~xy4;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy5 = ~xy5;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy6 = ~xy6;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy7 = -xy7;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (xy7 == 0)
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (++xy6 == 0)
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (++xy5 == 0)
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (++xy4 == 0)
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (++xy3 == 0)
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (++xy2 == 0)
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (++xy1 == 0)
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy0++;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis }
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis /* add, propagating carries */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z7 += xy7;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis e = (z7 < xy7);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z6 += xy6;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (e) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z6++;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis e = (z6 <= xy6);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis } else
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis e = (z6 < xy6);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z5 += xy5;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (e) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z5++;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis e = (z5 <= xy5);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis } else
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis e = (z5 < xy5);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z4 += xy4;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (e) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z4++;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis e = (z4 <= xy4);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis } else
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis e = (z4 < xy4);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z3 += xy3;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (e) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z3++;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis e = (z3 <= xy3);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis } else
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis e = (z3 < xy3);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z2 += xy2;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (e) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z2++;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis e = (z2 <= xy2);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis } else
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis e = (z2 < xy2);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z1 += xy1;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (e) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z1++;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis e = (z1 <= xy1);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis } else
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis e = (z1 < xy1);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z0 += xy0;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (e)
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z0++;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis /* postnormalize and collect rounding information into z4 */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (ez < 1) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis /* result is tiny; shift right until exponent is within range */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis e = 1 - ez;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (e > 116) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z4 = 1; /* result can't be exactly zero */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z0 = z1 = z2 = z3 = 0;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis } else if (e >= 96) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis sticky = z7 | z6 | z5 | z4 | z3 | z2 |
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis ((z1 << 1) << (127 - e));
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z4 = (z1 >> (e - 96)) | ((z0 << 1) << (127 - e));
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (sticky)
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z4 |= 1;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z3 = z0 >> (e - 96);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z0 = z1 = z2 = 0;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis } else if (e >= 64) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis sticky = z7 | z6 | z5 | z4 | z3 |
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis ((z2 << 1) << (95 - e));
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z4 = (z2 >> (e - 64)) | ((z1 << 1) << (95 - e));
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (sticky)
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z4 |= 1;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z3 = (z1 >> (e - 64)) | ((z0 << 1) << (95 - e));
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z2 = z0 >> (e - 64);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z0 = z1 = 0;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis } else if (e >= 32) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis sticky = z7 | z6 | z5 | z4 | ((z3 << 1) << (63 - e));
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z4 = (z3 >> (e - 32)) | ((z2 << 1) << (63 - e));
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (sticky)
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z4 |= 1;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z3 = (z2 >> (e - 32)) | ((z1 << 1) << (63 - e));
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z2 = (z1 >> (e - 32)) | ((z0 << 1) << (63 - e));
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z1 = z0 >> (e - 32);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z0 = 0;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis } else {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis sticky = z7 | z6 | z5 | (z4 << 1) << (31 - e);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z4 = (z4 >> e) | ((z3 << 1) << (31 - e));
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (sticky)
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z4 |= 1;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z3 = (z3 >> e) | ((z2 << 1) << (31 - e));
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z2 = (z2 >> e) | ((z1 << 1) << (31 - e));
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z1 = (z1 >> e) | ((z0 << 1) << (31 - e));
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z0 >>= e;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis }
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis ez = 1;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis } else if (z0 >= 0x20000) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis /* carry out; shift right by one */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis sticky = (z4 & 1) | z5 | z6 | z7;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z4 = (z4 >> 1) | (z3 << 31);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (sticky)
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z4 |= 1;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z3 = (z3 >> 1) | (z2 << 31);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z2 = (z2 >> 1) | (z1 << 31);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z1 = (z1 >> 1) | (z0 << 31);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z0 >>= 1;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis ez++;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis } else {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (z0 < 0x10000 && (z0 | z1 | z2 | z3 | z4 | z5 | z6 | z7)
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis != 0) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis /*
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * borrow/cancellation; shift left as much as
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * exponent allows
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis while (!(z0 | (z1 & 0xfffe0000)) && ez >= 33) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z0 = z1;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z1 = z2;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z2 = z3;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z3 = z4;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z4 = z5;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z5 = z6;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z6 = z7;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z7 = 0;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis ez -= 32;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis }
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis while (z0 < 0x10000 && ez > 1) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z0 = (z0 << 1) | (z1 >> 31);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z1 = (z1 << 1) | (z2 >> 31);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z2 = (z2 << 1) | (z3 >> 31);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z3 = (z3 << 1) | (z4 >> 31);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z4 = (z4 << 1) | (z5 >> 31);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z5 = (z5 << 1) | (z6 >> 31);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z6 = (z6 << 1) | (z7 >> 31);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z7 <<= 1;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis ez--;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis }
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis }
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (z5 | z6 | z7)
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z4 |= 1;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis }
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis /* get the rounding mode */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis rm = fsr >> 30;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis /* strip off the integer bit, if there is one */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis ibit = z0 & 0x10000;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (ibit)
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z0 -= 0x10000;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis else {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis ez = 0;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (!(z0 | z1 | z2 | z3 | z4)) { /* exact zero */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis zz.i[0] = rm == FSR_RM ? 0x80000000 : 0;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis zz.i[1] = zz.i[2] = zz.i[3] = 0;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis __fenv_setfsr32(&fsr);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis return (zz.q);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis }
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis }
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis /*
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * flip the sense of directed roundings if the result is negative;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * the logic below applies to a positive result
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (sz)
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis rm ^= rm >> 1;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis /* round and raise exceptions */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (z4) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis fsr |= FSR_NXC;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis /* decide whether to round the fraction up */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (rm == FSR_RP || (rm == FSR_RN && (z4 > 0x80000000u ||
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis (z4 == 0x80000000u && (z3 & 1))))) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis /* round up and renormalize if necessary */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (++z3 == 0)
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (++z2 == 0)
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (++z1 == 0)
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (++z0 == 0x10000) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z0 = 0;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis ez++;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis }
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis }
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis }
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis /* check for under/overflow */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (ez >= 0x7fff) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (rm == FSR_RN || rm == FSR_RP) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis zz.i[0] = sz | 0x7fff0000;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis zz.i[1] = zz.i[2] = zz.i[3] = 0;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis } else {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis zz.i[0] = sz | 0x7ffeffff;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis zz.i[1] = zz.i[2] = zz.i[3] = 0xffffffff;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis }
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis fsr |= FSR_OFC | FSR_NXC;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis } else {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis zz.i[0] = sz | (ez << 16) | z0;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis zz.i[1] = z1;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis zz.i[2] = z2;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis zz.i[3] = z3;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis /*
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * !ibit => exact result was tiny before rounding,
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * z4 nonzero => result delivered is inexact
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (!ibit) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (z4)
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis fsr |= FSR_UFC | FSR_NXC;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis else if (fsr & FSR_UFM)
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis fsr |= FSR_UFC;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis }
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis }
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis /* restore the fsr and emulate exceptions as needed */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if ((fsr & FSR_CEXC) & (fsr >> 23)) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis __fenv_setfsr32(&fsr);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (fsr & FSR_OFC) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis dummy = huge;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis dummy *= huge;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis } else if (fsr & FSR_UFC) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis dummy = tiny;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (fsr & FSR_NXC)
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis dummy *= tiny;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis else
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis dummy -= tiny2;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis } else {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis dummy = huge;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis dummy += tiny;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis }
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis } else {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis fsr |= (fsr & 0x1f) << 5;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis __fenv_setfsr32(&fsr);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis }
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis return (zz.q);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis}
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis#elif defined(__x86)
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtisstatic const union {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis unsigned i[2];
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis double d;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis} C[] = {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis { 0, 0x3fe00000u },
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis { 0, 0x40000000u },
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis { 0, 0x3df00000u },
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis { 0, 0x3bf00000u },
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis { 0, 0x41f00000u },
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis { 0, 0x43e00000u },
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis { 0, 0x7fe00000u },
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis { 0, 0x00100000u },
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis { 0, 0x00100001u }
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis};
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis#define half C[0].d
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis#define two C[1].d
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis#define twom32 C[2].d
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis#define twom64 C[3].d
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis#define two32 C[4].d
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis#define two63 C[5].d
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis#define huge C[6].d
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis#define tiny C[7].d
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis#define tiny2 C[8].d
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis#if defined(__amd64)
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis#define NI 4
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis#else
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis#define NI 3
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis#endif
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis/*
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * fmal for x86: 80-bit extended double precision, little-endian
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtislong double
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis__fmal(long double x, long double y, long double z) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis union {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis unsigned i[NI];
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis long double e;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis } xx, yy, zz;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis long double xhi, yhi, xlo, ylo, t;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis unsigned xy0, xy1, xy2, xy3, xy4, z0, z1, z2, z3, z4;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis unsigned oldcwsw, cwsw, rm, sticky, carry;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis int ex, ey, ez, exy, sxy, sz, e, tinyafter;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis volatile double dummy;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis /* extract the exponents of the arguments */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xx.e = x;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis yy.e = y;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis zz.e = z;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis ex = xx.i[2] & 0x7fff;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis ey = yy.i[2] & 0x7fff;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis ez = zz.i[2] & 0x7fff;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis /* dispense with inf, nan, and zero cases */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (ex == 0x7fff || ey == 0x7fff || (ex | xx.i[1] | xx.i[0]) == 0 ||
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis (ey | yy.i[1] | yy.i[0]) == 0) /* x or y is inf, nan, or 0 */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis return (x * y + z);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (ez == 0x7fff) /* z is inf or nan */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis return (x + z); /* avoid spurious under/overflow in x * y */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if ((ez | zz.i[1] | zz.i[0]) == 0) /* z is zero */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis /*
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * x * y isn't zero but could underflow to zero,
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * so don't add z, lest we perturb the sign
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis return (x * y);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis /*
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * now x, y, and z are all finite and nonzero; extract signs and
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * normalize the significands (this will raise the denormal operand
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * exception if need be)
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis sxy = (xx.i[2] ^ yy.i[2]) & 0x8000;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis sz = zz.i[2] & 0x8000;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (!ex) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xx.e = x * two63;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis ex = (xx.i[2] & 0x7fff) - 63;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis }
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (!ey) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis yy.e = y * two63;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis ey = (yy.i[2] & 0x7fff) - 63;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis }
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (!ez) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis zz.e = z * two63;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis ez = (zz.i[2] & 0x7fff) - 63;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis }
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis /*
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * save the control and status words, mask all exceptions, and
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * set rounding to 64-bit precision and toward-zero
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis __fenv_getcwsw(&oldcwsw);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis cwsw = (oldcwsw & 0xf0c0ffff) | 0x0f3f0000;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis __fenv_setcwsw(&cwsw);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis /* multiply x*y to 128 bits */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis exy = ex + ey - 0x3fff;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xx.i[2] = 0x3fff;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis yy.i[2] = 0x3fff;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis x = xx.e;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis y = yy.e;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xhi = ((x + twom32) + two32) - two32;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis yhi = ((y + twom32) + two32) - two32;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xlo = x - xhi;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis ylo = y - yhi;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis x *= y;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis y = ((xhi * yhi - x) + xhi * ylo + xlo * yhi) + xlo * ylo;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (x >= two) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis x *= half;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis y *= half;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis exy++;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis }
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis /* extract the significands */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xx.e = x;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy0 = xx.i[1];
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy1 = xx.i[0];
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis yy.e = t = y + twom32;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy2 = yy.i[0];
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis yy.e = (y - (t - twom32)) + twom64;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy3 = yy.i[0];
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy4 = 0;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z0 = zz.i[1];
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z1 = zz.i[0];
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z2 = z3 = z4 = 0;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis /*
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * now x*y is represented by sxy, exy, and xy[0-4], and z is
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * represented likewise; swap if need be so |xy| <= |z|
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (exy > ez || (exy == ez && (xy0 > z0 || (xy0 == z0 &&
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis (xy1 > z1 || (xy1 == z1 && (xy2 | xy3) != 0)))))) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis e = sxy; sxy = sz; sz = e;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis e = exy; exy = ez; ez = e;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis e = xy0; xy0 = z0; z0 = e;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis e = xy1; xy1 = z1; z1 = e;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z2 = xy2; xy2 = 0;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z3 = xy3; xy3 = 0;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis }
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis /* shift the significand of xy keeping a sticky bit */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis e = ez - exy;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (e > 130) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy0 = xy1 = xy2 = xy3 = 0;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy4 = 1;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis } else if (e >= 128) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis sticky = xy3 | xy2 | xy1 | ((xy0 << 1) << (159 - e));
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy4 = xy0 >> (e - 128);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (sticky)
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy4 |= 1;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy0 = xy1 = xy2 = xy3 = 0;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis } else if (e >= 96) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis sticky = xy3 | xy2 | ((xy1 << 1) << (127 - e));
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy4 = (xy1 >> (e - 96)) | ((xy0 << 1) << (127 - e));
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (sticky)
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy4 |= 1;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy3 = xy0 >> (e - 96);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy0 = xy1 = xy2 = 0;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis } else if (e >= 64) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis sticky = xy3 | ((xy2 << 1) << (95 - e));
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy4 = (xy2 >> (e - 64)) | ((xy1 << 1) << (95 - e));
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (sticky)
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy4 |= 1;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy3 = (xy1 >> (e - 64)) | ((xy0 << 1) << (95 - e));
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy2 = xy0 >> (e - 64);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy0 = xy1 = 0;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis } else if (e >= 32) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis sticky = (xy3 << 1) << (63 - e);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy4 = (xy3 >> (e - 32)) | ((xy2 << 1) << (63 - e));
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (sticky)
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy4 |= 1;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy3 = (xy2 >> (e - 32)) | ((xy1 << 1) << (63 - e));
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy2 = (xy1 >> (e - 32)) | ((xy0 << 1) << (63 - e));
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy1 = xy0 >> (e - 32);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy0 = 0;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis } else if (e) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy4 = (xy3 << 1) << (31 - e);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy3 = (xy3 >> e) | ((xy2 << 1) << (31 - e));
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy2 = (xy2 >> e) | ((xy1 << 1) << (31 - e));
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy1 = (xy1 >> e) | ((xy0 << 1) << (31 - e));
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy0 >>= e;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis }
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis /* if this is a magnitude subtract, negate the significand of xy */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (sxy ^ sz) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy0 = ~xy0;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy1 = ~xy1;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy2 = ~xy2;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy3 = ~xy3;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy4 = -xy4;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (xy4 == 0)
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (++xy3 == 0)
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (++xy2 == 0)
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (++xy1 == 0)
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis xy0++;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis }
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis /* add, propagating carries */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z4 += xy4;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis carry = (z4 < xy4);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z3 += xy3;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (carry) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z3++;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis carry = (z3 <= xy3);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis } else
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis carry = (z3 < xy3);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z2 += xy2;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (carry) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z2++;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis carry = (z2 <= xy2);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis } else
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis carry = (z2 < xy2);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z1 += xy1;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (carry) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z1++;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis carry = (z1 <= xy1);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis } else
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis carry = (z1 < xy1);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z0 += xy0;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (carry) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z0++;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis carry = (z0 <= xy0);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis } else
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis carry = (z0 < xy0);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis /* for a magnitude subtract, ignore the last carry out */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (sxy ^ sz)
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis carry = 0;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis /* postnormalize and collect rounding information into z2 */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (ez < 1) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis /* result is tiny; shift right until exponent is within range */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis e = 1 - ez;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (e > 67) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z2 = 1; /* result can't be exactly zero */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z0 = z1 = 0;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis } else if (e >= 64) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis sticky = z4 | z3 | z2 | z1 | ((z0 << 1) << (95 - e));
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z2 = (z0 >> (e - 64)) | ((carry << 1) << (95 - e));
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (sticky)
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z2 |= 1;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z1 = carry >> (e - 64);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z0 = 0;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis } else if (e >= 32) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis sticky = z4 | z3 | z2 | ((z1 << 1) << (63 - e));
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z2 = (z1 >> (e - 32)) | ((z0 << 1) << (63 - e));
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (sticky)
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z2 |= 1;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z1 = (z0 >> (e - 32)) | ((carry << 1) << (63 - e));
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z0 = carry >> (e - 32);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis } else {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis sticky = z4 | z3 | (z2 << 1) << (31 - e);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z2 = (z2 >> e) | ((z1 << 1) << (31 - e));
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (sticky)
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z2 |= 1;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z1 = (z1 >> e) | ((z0 << 1) << (31 - e));
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z0 = (z0 >> e) | ((carry << 1) << (31 - e));
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis }
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis ez = 1;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis } else if (carry) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis /* carry out; shift right by one */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis sticky = (z2 & 1) | z3 | z4;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z2 = (z2 >> 1) | (z1 << 31);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (sticky)
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z2 |= 1;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z1 = (z1 >> 1) | (z0 << 31);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z0 = (z0 >> 1) | 0x80000000;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis ez++;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis } else {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (z0 < 0x80000000u && (z0 | z1 | z2 | z3 | z4) != 0) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis /*
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * borrow/cancellation; shift left as much as
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * exponent allows
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis while (!z0 && ez >= 33) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z0 = z1;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z1 = z2;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z2 = z3;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z3 = z4;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z4 = 0;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis ez -= 32;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis }
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis while (z0 < 0x80000000u && ez > 1) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z0 = (z0 << 1) | (z1 >> 31);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z1 = (z1 << 1) | (z2 >> 31);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z2 = (z2 << 1) | (z3 >> 31);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z3 = (z3 << 1) | (z4 >> 31);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z4 <<= 1;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis ez--;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis }
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis }
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (z3 | z4)
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z2 |= 1;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis }
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis /* get the rounding mode */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis rm = oldcwsw & 0x0c000000;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis /* adjust exponent if result is subnormal */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis tinyafter = 0;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (!(z0 & 0x80000000)) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis ez = 0;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis tinyafter = 1;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (!(z0 | z1 | z2)) { /* exact zero */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis zz.i[2] = rm == FCW_RM ? 0x8000 : 0;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis zz.i[1] = zz.i[0] = 0;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis __fenv_setcwsw(&oldcwsw);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis return (zz.e);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis }
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis }
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis /*
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * flip the sense of directed roundings if the result is negative;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * the logic below applies to a positive result
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (sz && (rm == FCW_RM || rm == FCW_RP))
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis rm = (FCW_RM + FCW_RP) - rm;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis /* round */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (z2) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (rm == FCW_RP || (rm == FCW_RN && (z2 > 0x80000000u ||
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis (z2 == 0x80000000u && (z1 & 1))))) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis /* round up and renormalize if necessary */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (++z1 == 0) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (++z0 == 0) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z0 = 0x80000000;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis ez++;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis } else if (z0 == 0x80000000) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis /* rounded up to smallest normal */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis ez = 1;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if ((rm == FCW_RP && z2 >
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis 0x80000000u) || (rm == FCW_RN &&
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis z2 >= 0xc0000000u))
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis /*
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * would have rounded up to
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * smallest normal even with
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * unbounded range
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis tinyafter = 0;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis }
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis }
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis }
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis }
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis /* restore the control and status words, check for over/underflow */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis __fenv_setcwsw(&oldcwsw);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (ez >= 0x7fff) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (rm == FCW_RN || rm == FCW_RP) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis zz.i[2] = sz | 0x7fff;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis zz.i[1] = 0x80000000;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis zz.i[0] = 0;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis } else {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis zz.i[2] = sz | 0x7ffe;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis zz.i[1] = 0xffffffff;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis zz.i[0] = 0xffffffff;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis }
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis dummy = huge;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis dummy *= huge;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis } else {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis zz.i[2] = sz | ez;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis zz.i[1] = z0;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis zz.i[0] = z1;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis /*
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * tinyafter => result rounded w/ unbounded range would be tiny,
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * z2 nonzero => result delivered is inexact
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (tinyafter) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis dummy = tiny;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if (z2)
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis dummy *= tiny;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis else
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis dummy -= tiny2;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis } else if (z2) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis dummy = huge;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis dummy += tiny;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis }
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis }
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis return (zz.e);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis}
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis#else
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis#error Unknown architecture
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis#endif