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Diffstat (limited to 'usr/src/lib/libm/common/complex/cexp.c')
-rw-r--r-- | usr/src/lib/libm/common/complex/cexp.c | 116 |
1 files changed, 116 insertions, 0 deletions
diff --git a/usr/src/lib/libm/common/complex/cexp.c b/usr/src/lib/libm/common/complex/cexp.c new file mode 100644 index 0000000000..9b85bc4843 --- /dev/null +++ b/usr/src/lib/libm/common/complex/cexp.c @@ -0,0 +1,116 @@ +/* + * 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 cexp = __cexp + +/* INDENT OFF */ +/* + * dcomplex cexp(dcomplex z); + * + * x+iy x + * e = e (cos(y)+i*sin(y)) + * + * Over/underflow issue + * -------------------- + * exp(x) may be huge but cos(y) or sin(y) may be tiny. So we use + * function __k_cexp(x,&n) to return exp(x) = __k_cexp(x,&n)*2**n. + * Thus if exp(x+iy) = A + Bi and t = __k_cexp(x,&n), then + * A = t*cos(y)*2**n, B = t*sin(y)*2**n + * + * Purge off all exceptional arguments: + * (x,0) --> (exp(x),0) for all x, include inf and NaN + * (+inf, y) --> (+inf, NaN) for inf, nan + * (-inf, y) --> (+-0, +-0) for y = inf, nan + * (x,+-inf/NaN) --> (NaN,NaN) for finite x + * For all other cases, return + * (x,y) --> exp(x)*cos(y)+i*exp(x)*sin(y)) + * + * Algorithm for out of range x and finite y + * 1. compute exp(x) in factor form (t=__k_cexp(x,&n))*2**n + * 2. compute sincos(y,&s,&c) + * 3. compute t*s+i*(t*c), then scale back to 2**n and return. + */ +/* INDENT ON */ + +#include "libm.h" /* exp/scalbn/sincos/__k_cexp */ +#include "complex_wrapper.h" + +static const double zero = 0.0; + +dcomplex +cexp(dcomplex z) { + dcomplex ans; + double x, y, t, c, s; + int n, ix, iy, hx, hy, lx, ly; + + x = D_RE(z); + y = D_IM(z); + hx = HI_WORD(x); + lx = LO_WORD(x); + hy = HI_WORD(y); + ly = LO_WORD(y); + ix = hx & 0x7fffffff; + iy = hy & 0x7fffffff; + if ((iy | ly) == 0) { /* y = 0 */ + D_RE(ans) = exp(x); + D_IM(ans) = y; + } else if (ISINF(ix, lx)) { /* x is +-inf */ + if (hx < 0) { + if (iy >= 0x7ff00000) { + D_RE(ans) = zero; + D_IM(ans) = zero; + } else { + sincos(y, &s, &c); + D_RE(ans) = zero * c; + D_IM(ans) = zero * s; + } + } else { + if (iy >= 0x7ff00000) { + D_RE(ans) = x; + D_IM(ans) = y - y; + } else { + (void) sincos(y, &s, &c); + D_RE(ans) = x * c; + D_IM(ans) = x * s; + } + } + } else { + (void) sincos(y, &s, &c); + if (ix >= 0x40862E42) { /* |x| > 709.78... ~ log(2**1024) */ + t = __k_cexp(x, &n); + D_RE(ans) = scalbn(t * c, n); + D_IM(ans) = scalbn(t * s, n); + } else { + t = exp(x); + D_RE(ans) = t * c; + D_IM(ans) = t * s; + } + } + return (ans); +} |