1 /* $NetBSD: csqrtf.c,v 1.1 2007/08/20 16:01:37 drochner Exp $ */ 2 3 /*- 4 * Copyright (c) 2007 The NetBSD Foundation, Inc. 5 * All rights reserved. 6 * 7 * This code is derived from software written by Stephen L. Moshier. 8 * It is redistributed by the NetBSD Foundation by permission of the author. 9 * 10 * Redistribution and use in source and binary forms, with or without 11 * modification, are permitted provided that the following conditions 12 * are met: 13 * 1. Redistributions of source code must retain the above copyright 14 * notice, this list of conditions and the following disclaimer. 15 * 2. Redistributions in binary form must reproduce the above copyright 16 * notice, this list of conditions and the following disclaimer in the 17 * documentation and/or other materials provided with the distribution. 18 * 19 * THIS SOFTWARE IS PROVIDED BY THE NETBSD FOUNDATION, INC. AND CONTRIBUTORS 20 * ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED 21 * TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR 22 * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE FOUNDATION OR CONTRIBUTORS 23 * BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR 24 * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF 25 * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS 26 * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN 27 * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) 28 * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE 29 * POSSIBILITY OF SUCH DAMAGE. 30 */ 31 32 #include <complex.h> 33 #include <math.h> 34 35 float complex 36 csqrtf(float complex z) 37 { 38 float complex w; 39 float x, y, r, t, scale; 40 41 x = crealf (z); 42 y = cimagf (z); 43 44 if (y == 0.0f) { 45 if (x < 0.0f) { 46 w = 0.0f + sqrtf(-x) * I; 47 return w; 48 } else if (x == 0.0f) { 49 return (0.0f + y * I); 50 } else { 51 w = sqrtf(x) + y * I; 52 return w; 53 } 54 } 55 56 if (x == 0.0f) { 57 r = fabsf(y); 58 r = sqrtf(0.5f * r); 59 if (y > 0) 60 w = r + r * I; 61 else 62 w = r - r * I; 63 return w; 64 } 65 66 /* Rescale to avoid internal overflow or underflow. */ 67 if ((fabsf(x) > 4.0f) || (fabsf(y) > 4.0f)) { 68 x *= 0.25f; 69 y *= 0.25f; 70 scale = 2.0f; 71 } else { 72 #if 1 73 x *= 6.7108864e7f; /* 2^26 */ 74 y *= 6.7108864e7f; 75 scale = 1.220703125e-4f; /* 2^-13 */ 76 #else 77 x *= 4.0f; 78 y *= 4.0f; 79 scale = 0.5f; 80 #endif 81 } 82 w = x + y * I; 83 r = cabsf(w); 84 if( x > 0 ) { 85 t = sqrtf(0.5f * r + 0.5f * x); 86 r = scale * fabsf((0.5f * y) / t); 87 t *= scale; 88 } else { 89 r = sqrtf(0.5f * r - 0.5f * x); 90 t = scale * fabsf((0.5f * y) / r); 91 r *= scale; 92 } 93 94 if (y < 0) 95 w = t - r * I; 96 else 97 w = t + r * I; 98 return w; 99 } 100