diff options
Diffstat (limited to 'lib/mlibc/options/ansi/generic/complex/csqrtf.c')
-rw-r--r-- | lib/mlibc/options/ansi/generic/complex/csqrtf.c | 102 |
1 files changed, 102 insertions, 0 deletions
diff --git a/lib/mlibc/options/ansi/generic/complex/csqrtf.c b/lib/mlibc/options/ansi/generic/complex/csqrtf.c new file mode 100644 index 0000000..13451fa --- /dev/null +++ b/lib/mlibc/options/ansi/generic/complex/csqrtf.c @@ -0,0 +1,102 @@ +/* $NetBSD: csqrtf.c,v 1.1 2007/08/20 16:01:37 drochner Exp $ */ + +/*- + * Copyright (c) 2007 The NetBSD Foundation, Inc. + * All rights reserved. + * + * This code is derived from software written by Stephen L. Moshier. + * It is redistributed by the NetBSD Foundation by permission of the author. + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions + * are met: + * 1. Redistributions of source code must retain the above copyright + * notice, this list of conditions and the following disclaimer. + * 2. Redistributions in binary form must reproduce the above copyright + * notice, this list of conditions and the following disclaimer in the + * documentation and/or other materials provided with the distribution. + * + * THIS SOFTWARE IS PROVIDED BY THE NETBSD FOUNDATION, INC. AND CONTRIBUTORS + * ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED + * TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR + * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE FOUNDATION OR CONTRIBUTORS + * BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR + * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF + * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS + * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN + * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) + * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE + * POSSIBILITY OF SUCH DAMAGE. + * + * imported and modified include for newlib 2010/10/03 + * Marco Atzeri <marco_atzeri@yahoo.it> + */ + +#include <complex.h> +#include <math.h> + +float complex +csqrtf(float complex z) +{ + float complex w; + float x, y, r, t, scale; + + x = crealf (z); + y = cimagf (z); + + if (y == 0.0f) { + if (x < 0.0f) { + w = 0.0f + sqrtf(-x) * I; + return w; + } else if (x == 0.0f) { + return (0.0f + y * I); + } else { + w = sqrtf(x) + y * I; + return w; + } + } + + if (x == 0.0f) { + r = fabsf(y); + r = sqrtf(0.5f * r); + if (y > 0) + w = r + r * I; + else + w = r - r * I; + return w; + } + + /* Rescale to avoid internal overflow or underflow. */ + if ((fabsf(x) > 4.0f) || (fabsf(y) > 4.0f)) { + x *= 0.25f; + y *= 0.25f; + scale = 2.0f; + } else { +#if 1 + x *= 6.7108864e7f; /* 2^26 */ + y *= 6.7108864e7f; + scale = 1.220703125e-4f; /* 2^-13 */ +#else + x *= 4.0f; + y *= 4.0f; + scale = 0.5f; +#endif + } + w = x + y * I; + r = cabsf(w); + if( x > 0 ) { + t = sqrtf(0.5f * r + 0.5f * x); + r = scale * fabsf((0.5f * y) / t); + t *= scale; + } else { + r = sqrtf(0.5f * r - 0.5f * x); + t = scale * fabsf((0.5f * y) / r); + r *= scale; + } + + if (y < 0) + w = t - r * I; + else + w = t + r * I; + return w; +} |