/* * CDDL HEADER START * * The contents of this file are subject to the terms of the * Common Development and Distribution License (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 2011 Nexenta Systems, Inc. All rights reserved. */ /* * Copyright 2006 Sun Microsystems, Inc. All rights reserved. * Use is subject to license terms. */ #pragma weak __clogl = clogl #include "libm.h" /* atan2l/fabsl/isinfl/log1pl/logl/__k_clog_rl */ #include "complex_wrapper.h" #include "longdouble.h" #if defined(__sparc) #define SIGP7 120 #define HSIGP7 60 #elif defined(__x86) #define SIGP7 70 #define HSIGP7 35 #endif /* INDENT OFF */ static const long double zero = 0.0L, half = 0.5L, one = 1.0L; /* INDENT ON */ ldcomplex clogl(ldcomplex z) { ldcomplex ans; long double x, y, t, ax, ay; int n, ix, iy, hx, hy; x = LD_RE(z); y = LD_IM(z); hx = HI_XWORD(x); hy = HI_XWORD(y); ix = hx & 0x7fffffff; iy = hy & 0x7fffffff; ay = fabsl(y); ax = fabsl(x); LD_IM(ans) = atan2l(y, x); if (ix < iy || (ix == iy && ix < 0x7fff0000 && ax < ay)) { /* swap x and y to force ax>=ay */ t = ax; ax = ay; ay = t; n = ix, ix = iy; iy = n; } n = (ix - iy) >> 16; if (ix >= 0x7fff0000) { /* x or y is Inf or NaN */ if (isinfl(ax)) LD_RE(ans) = ax; else if (isinfl(ay)) LD_RE(ans) = ay; else LD_RE(ans) = ax + ay; } else if (ay == zero) LD_RE(ans) = logl(ax); else if (((0x3fffffff - ix) ^ (ix - 0x3ffe0000)) >= 0) { /* 0.5 <= x < 2 */ if (ix >= 0x3fff0000) { if (ax == one) LD_RE(ans) = half * log1pl(ay * ay); else if (n >= SIGP7) LD_RE(ans) = logl(ax); else LD_RE(ans) = half * (log1pl(ay * ay + (ax - one) * (ax + one))); } else if (n >= SIGP7) LD_RE(ans) = logl(ax); else LD_RE(ans) = __k_clog_rl(x, y, &t); } else if (n >= HSIGP7) LD_RE(ans) = logl(ax); else if (ix < 0x5f3f0000 && iy >= 0x20bf0000) /* 2**-8000 < y < x < 2**8000 */ LD_RE(ans) = half * logl(ax * ax + ay * ay); else { t = ay / ax; LD_RE(ans) = logl(ax) + half * log1pl(t * t); } return (ans); }