17c478bd9Sstevel@tonic-gate /*
27c478bd9Sstevel@tonic-gate * CDDL HEADER START
37c478bd9Sstevel@tonic-gate *
47c478bd9Sstevel@tonic-gate * The contents of this file are subject to the terms of the
57c478bd9Sstevel@tonic-gate * Common Development and Distribution License, Version 1.0 only
67c478bd9Sstevel@tonic-gate * (the "License"). You may not use this file except in compliance
77c478bd9Sstevel@tonic-gate * with the License.
87c478bd9Sstevel@tonic-gate *
97c478bd9Sstevel@tonic-gate * You can obtain a copy of the license at usr/src/OPENSOLARIS.LICENSE
107c478bd9Sstevel@tonic-gate * or http://www.opensolaris.org/os/licensing.
117c478bd9Sstevel@tonic-gate * See the License for the specific language governing permissions
127c478bd9Sstevel@tonic-gate * and limitations under the License.
137c478bd9Sstevel@tonic-gate *
147c478bd9Sstevel@tonic-gate * When distributing Covered Code, include this CDDL HEADER in each
157c478bd9Sstevel@tonic-gate * file and include the License file at usr/src/OPENSOLARIS.LICENSE.
167c478bd9Sstevel@tonic-gate * If applicable, add the following below this CDDL HEADER, with the
177c478bd9Sstevel@tonic-gate * fields enclosed by brackets "[]" replaced with your own identifying
187c478bd9Sstevel@tonic-gate * information: Portions Copyright [yyyy] [name of copyright owner]
197c478bd9Sstevel@tonic-gate *
207c478bd9Sstevel@tonic-gate * CDDL HEADER END
217c478bd9Sstevel@tonic-gate */
227c478bd9Sstevel@tonic-gate /*
237c478bd9Sstevel@tonic-gate * Copyright 2003 Sun Microsystems, Inc. All rights reserved.
247c478bd9Sstevel@tonic-gate * Use is subject to license terms.
257c478bd9Sstevel@tonic-gate */
267c478bd9Sstevel@tonic-gate
277c478bd9Sstevel@tonic-gate /*
287c478bd9Sstevel@tonic-gate * On SPARC V8, _Q_cplx_mul(v, z, w) sets *v = *z * *w with infinities
297c478bd9Sstevel@tonic-gate * handled according to C99.
307c478bd9Sstevel@tonic-gate *
317c478bd9Sstevel@tonic-gate * On SPARC V9, _Q_cplx_mul(z, w) returns *z * *w with infinities
327c478bd9Sstevel@tonic-gate * handled according to C99.
337c478bd9Sstevel@tonic-gate *
347c478bd9Sstevel@tonic-gate * If z and w are both finite, _Q_cplx_mul delivers the complex
357c478bd9Sstevel@tonic-gate * product according to the usual formula: let a = Re(z), b = Im(z),
367c478bd9Sstevel@tonic-gate * c = Re(w), and d = Im(w); then _Q_cplx_mul delivers x + I * y
377c478bd9Sstevel@tonic-gate * where x = a * c - b * d and y = a * d + b * c. Note that if both
387c478bd9Sstevel@tonic-gate * ac and bd overflow, then at least one of ad or bc must also over-
397c478bd9Sstevel@tonic-gate * flow, and vice versa, so that if one component of the product is
407c478bd9Sstevel@tonic-gate * NaN, the other is infinite. (Such a value is considered infinite
417c478bd9Sstevel@tonic-gate * according to C99.)
427c478bd9Sstevel@tonic-gate *
437c478bd9Sstevel@tonic-gate * If one of z or w is infinite and the other is either finite nonzero
447c478bd9Sstevel@tonic-gate * or infinite, _Q_cplx_mul delivers an infinite result. If one factor
457c478bd9Sstevel@tonic-gate * is infinite and the other is zero, _Q_cplx_mul delivers NaN + I * NaN.
467c478bd9Sstevel@tonic-gate * C99 doesn't specify the latter case.
477c478bd9Sstevel@tonic-gate *
487c478bd9Sstevel@tonic-gate * C99 also doesn't specify what should happen if either z or w is a
497c478bd9Sstevel@tonic-gate * complex NaN (i.e., neither finite nor infinite). This implementation
507c478bd9Sstevel@tonic-gate * delivers NaN + I * NaN in this case.
517c478bd9Sstevel@tonic-gate *
527c478bd9Sstevel@tonic-gate * This implementation can raise spurious underflow, overflow, invalid
537c478bd9Sstevel@tonic-gate * operation, and inexact exceptions. C99 allows this.
547c478bd9Sstevel@tonic-gate */
557c478bd9Sstevel@tonic-gate
567c478bd9Sstevel@tonic-gate #if !defined(sparc) && !defined(__sparc)
577c478bd9Sstevel@tonic-gate #error This code is for SPARC only
587c478bd9Sstevel@tonic-gate #endif
597c478bd9Sstevel@tonic-gate
607c478bd9Sstevel@tonic-gate static union {
617c478bd9Sstevel@tonic-gate int i[4];
627c478bd9Sstevel@tonic-gate long double q;
637c478bd9Sstevel@tonic-gate } inf = {
647c478bd9Sstevel@tonic-gate 0x7fff0000, 0, 0, 0
657c478bd9Sstevel@tonic-gate };
667c478bd9Sstevel@tonic-gate
677c478bd9Sstevel@tonic-gate /*
687c478bd9Sstevel@tonic-gate * Return +1 if x is +Inf, -1 if x is -Inf, and 0 otherwise
697c478bd9Sstevel@tonic-gate */
707c478bd9Sstevel@tonic-gate static int
testinfl(long double x)717c478bd9Sstevel@tonic-gate testinfl(long double x)
727c478bd9Sstevel@tonic-gate {
737c478bd9Sstevel@tonic-gate union {
747c478bd9Sstevel@tonic-gate int i[4];
757c478bd9Sstevel@tonic-gate long double q;
767c478bd9Sstevel@tonic-gate } xx;
777c478bd9Sstevel@tonic-gate
787c478bd9Sstevel@tonic-gate xx.q = x;
797c478bd9Sstevel@tonic-gate return (((((xx.i[0] << 1) - 0xfffe0000) | xx.i[1] | xx.i[2] | xx.i[3])
807c478bd9Sstevel@tonic-gate == 0)? (1 | (xx.i[0] >> 31)) : 0);
817c478bd9Sstevel@tonic-gate }
827c478bd9Sstevel@tonic-gate
837c478bd9Sstevel@tonic-gate #ifdef __sparcv9
847c478bd9Sstevel@tonic-gate long double _Complex
_Q_cplx_mul(const long double _Complex * z,const long double _Complex * w)857c478bd9Sstevel@tonic-gate _Q_cplx_mul(const long double _Complex *z, const long double _Complex *w)
867c478bd9Sstevel@tonic-gate {
87*1d9fea2aSToomas Soome long double _Complex v = 0;
887c478bd9Sstevel@tonic-gate #else
897c478bd9Sstevel@tonic-gate void
907c478bd9Sstevel@tonic-gate _Q_cplx_mul(long double _Complex *v, const long double _Complex *z,
917c478bd9Sstevel@tonic-gate const long double _Complex *w)
927c478bd9Sstevel@tonic-gate {
937c478bd9Sstevel@tonic-gate #endif
947c478bd9Sstevel@tonic-gate long double a, b, c, d, x, y;
957c478bd9Sstevel@tonic-gate int recalc, i, j;
967c478bd9Sstevel@tonic-gate
977c478bd9Sstevel@tonic-gate /*
987c478bd9Sstevel@tonic-gate * The following is equivalent to
997c478bd9Sstevel@tonic-gate *
1007c478bd9Sstevel@tonic-gate * a = creall(*z); b = cimagl(*z);
1017c478bd9Sstevel@tonic-gate * c = creall(*w); d = cimagl(*w);
1027c478bd9Sstevel@tonic-gate */
1037c478bd9Sstevel@tonic-gate a = ((long double *)z)[0];
1047c478bd9Sstevel@tonic-gate b = ((long double *)z)[1];
1057c478bd9Sstevel@tonic-gate c = ((long double *)w)[0];
1067c478bd9Sstevel@tonic-gate d = ((long double *)w)[1];
1077c478bd9Sstevel@tonic-gate
1087c478bd9Sstevel@tonic-gate x = a * c - b * d;
1097c478bd9Sstevel@tonic-gate y = a * d + b * c;
1107c478bd9Sstevel@tonic-gate
1117c478bd9Sstevel@tonic-gate if (x != x && y != y) {
1127c478bd9Sstevel@tonic-gate /*
1137c478bd9Sstevel@tonic-gate * Both x and y are NaN, so z and w can't both be finite.
1147c478bd9Sstevel@tonic-gate * If at least one of z or w is a complex NaN, and neither
1157c478bd9Sstevel@tonic-gate * is infinite, then we might as well deliver NaN + I * NaN.
1167c478bd9Sstevel@tonic-gate * So the only cases to check are when one of z or w is
1177c478bd9Sstevel@tonic-gate * infinite.
1187c478bd9Sstevel@tonic-gate */
1197c478bd9Sstevel@tonic-gate recalc = 0;
1207c478bd9Sstevel@tonic-gate i = testinfl(a);
1217c478bd9Sstevel@tonic-gate j = testinfl(b);
1227c478bd9Sstevel@tonic-gate if (i | j) { /* z is infinite */
1237c478bd9Sstevel@tonic-gate /* "factor out" infinity */
1247c478bd9Sstevel@tonic-gate a = i;
1257c478bd9Sstevel@tonic-gate b = j;
1267c478bd9Sstevel@tonic-gate recalc = 1;
1277c478bd9Sstevel@tonic-gate }
1287c478bd9Sstevel@tonic-gate i = testinfl(c);
1297c478bd9Sstevel@tonic-gate j = testinfl(d);
1307c478bd9Sstevel@tonic-gate if (i | j) { /* w is infinite */
1317c478bd9Sstevel@tonic-gate /* "factor out" infinity */
1327c478bd9Sstevel@tonic-gate c = i;
1337c478bd9Sstevel@tonic-gate d = j;
1347c478bd9Sstevel@tonic-gate recalc = 1;
1357c478bd9Sstevel@tonic-gate }
1367c478bd9Sstevel@tonic-gate if (recalc) {
1377c478bd9Sstevel@tonic-gate x = inf.q * (a * c - b * d);
1387c478bd9Sstevel@tonic-gate y = inf.q * (a * d + b * c);
1397c478bd9Sstevel@tonic-gate }
1407c478bd9Sstevel@tonic-gate }
1417c478bd9Sstevel@tonic-gate
1427c478bd9Sstevel@tonic-gate #ifdef __sparcv9
1437c478bd9Sstevel@tonic-gate ((long double *)&v)[0] = x;
1447c478bd9Sstevel@tonic-gate ((long double *)&v)[1] = y;
1457c478bd9Sstevel@tonic-gate return (v);
1467c478bd9Sstevel@tonic-gate #else
1477c478bd9Sstevel@tonic-gate ((long double *)v)[0] = x;
1487c478bd9Sstevel@tonic-gate ((long double *)v)[1] = y;
1497c478bd9Sstevel@tonic-gate #endif
1507c478bd9Sstevel@tonic-gate }
151