/* * CDDL HEADER START * * The contents of this file are subject to the terms of the * Common Development and Distribution License, Version 1.0 only * (the "License"). You may not use this file except in compliance * with the License. * * You can obtain a copy of the license at usr/src/OPENSOLARIS.LICENSE * or http://www.opensolaris.org/os/licensing. * See the License for the specific language governing permissions * and limitations under the License. * * When distributing Covered Code, include this CDDL HEADER in each * file and include the License file at usr/src/OPENSOLARIS.LICENSE. * If applicable, add the following below this CDDL HEADER, with the * fields enclosed by brackets "[]" replaced with your own identifying * information: Portions Copyright [yyyy] [name of copyright owner] * * CDDL HEADER END */ /* * Copyright 2003 Sun Microsystems, Inc. All rights reserved. * Use is subject to license terms. */ #pragma ident "%Z%%M% %I% %E% SMI" /* * On SPARC V8, _Q_cplx_div_ix(v, b, w) sets *v = (I * *b / *w) with * infinities handling according to C99. * * On SPARC V9, _Q_cplx_div_ix(b, w) returns (I * *b) / *w with in- * finities handled according to C99. * * If b and w are both finite and w is nonzero, _Q_cplx_div_ix de- * livers the complex quotient q according to the usual formula: let * c = Re(w), and d = Im(w); then q = x + I * y where x = (b * d) / r * and y = (-b * d) / r with r = c * c + d * d. This implementation * scales to avoid premature underflow or overflow. * * If b is neither NaN nor zero and w is zero, or if b is infinite * and w is finite and nonzero, _Q_cplx_div_ix delivers an infinite * result. If b is finite and w is infinite, _Q_cplx_div_ix delivers * a zero result. * * If b and w are both zero or both infinite, or if either b or w is * NaN, _Q_cplx_div_ix delivers NaN + I * NaN. C99 doesn't specify * these cases. * * This implementation can raise spurious underflow, overflow, in- * valid operation, inexact, and division-by-zero exceptions. C99 * allows this. */ #if !defined(sparc) && !defined(__sparc) #error This code is for SPARC only #endif extern void _Q_scl(long double *, int); extern void _Q_scle(long double *, int); /* * Return +1 if x is +Inf, -1 if x is -Inf, and 0 otherwise */ static int testinfl(long double x) { union { int i[4]; long double q; } xx; xx.q = x; return (((((xx.i[0] << 1) - 0xfffe0000) | xx.i[1] | xx.i[2] | xx.i[3]) == 0)? (1 | (xx.i[0] >> 31)) : 0); } #ifdef __sparcv9 long double _Complex _Q_cplx_div_ix(const long double *pb, const long double _Complex *w) { long double _Complex v; #else void _Q_cplx_div_ix(long double _Complex *v, const long double *pb, const long double _Complex *w) { #endif union { int i[4]; long double q; } bb, cc, dd; long double b, c, d, sc, sd, r; int hb, hc, hd, hw, i, j; b = *pb; /* * The following is equivalent to * * c = creall(*w); d = cimagl(*w); */ c = ((long double *)w)[0]; d = ((long double *)w)[1]; /* extract high-order words to estimate |b| and |w| */ bb.q = b; hb = bb.i[0] & ~0x80000000; cc.q = c; dd.q = d; hc = cc.i[0] & ~0x80000000; hd = dd.i[0] & ~0x80000000; hw = (hc > hd)? hc : hd; /* check for special cases */ if (hw >= 0x7fff0000) { /* w is inf or nan */ i = testinfl(c); j = testinfl(d); if (i | j) { /* w is infinite */ c = (cc.i[0] < 0)? -0.0l : 0.0l; d = (dd.i[0] < 0)? -0.0l : 0.0l; } else /* w is nan */ b += c + d; c *= b; d *= b; goto done; } if (hw == 0 && (cc.i[1] | cc.i[2] | cc.i[3] | dd.i[1] | dd.i[2] | dd.i[3]) == 0) { /* w is zero; multiply b by 1/Re(w) - I * Im(w) */ c = 1.0l / c; j = testinfl(b); if (j) { /* b is infinite */ b = j; } c *= b; d = (b == 0.0l)? c : b * d; goto done; } if (hb >= 0x7fff0000) { /* a is inf or nan */ c *= b; d *= b; goto done; } /* * Compute the real and imaginary parts of the quotient, * scaling to avoid overflow or underflow. */ hw = (hw - 0x3fff0000) >> 16; sc = c; sd = d; _Q_scl(&sc, -hw); _Q_scl(&sd, -hw); r = sc * sc + sd * sd; hb = (hb - 0x3fff0000) >> 16; _Q_scl(&b, -hb); b /= r; hb -= (hw + hw); hc = (hc - 0x3fff0000) >> 16; _Q_scl(&c, -hc); c *= b; hc += hb; hd = (hd - 0x3fff0000) >> 16; _Q_scl(&d, -hd); d *= b; hd += hb; /* compensate for scaling */ _Q_scle(&c, hc); _Q_scle(&d, hd); done: #ifdef __sparcv9 ((long double *)&v)[0] = d; ((long double *)&v)[1] = c; return (v); #else ((long double *)v)[0] = d; ((long double *)v)[1] = c; #endif }