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annotate packages/language/c/libm/current/src/complex/casinf.c @ 3260:77f9d3253c3e

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Add: Complex number header and library (single and double precision floating point), port from Newlib. Add: Single precision floating point library, port from Newlib. [ Bugzilla 1001539 ]
author vae
date Sun, 25 Aug 2013 14:38:57 +0000
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3260
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1 /* $NetBSD: casinf.c,v 1.1 2007/08/20 16:01:31 drochner Exp $ */
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2
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3 /*-
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4 * Copyright (c) 2007 The NetBSD Foundation, Inc.
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5 * All rights reserved.
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6 *
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7 * This code is derived from software written by Stephen L. Moshier.
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8 * It is redistributed by the NetBSD Foundation by permission of the author.
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9 *
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10 * Redistribution and use in source and binary forms, with or without
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11 * modification, are permitted provided that the following conditions
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12 * are met:
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13 * 1. Redistributions of source code must retain the above copyright
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14 * notice, this list of conditions and the following disclaimer.
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15 * 2. Redistributions in binary form must reproduce the above copyright
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16 * notice, this list of conditions and the following disclaimer in the
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17 * documentation and/or other materials provided with the distribution.
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18 *
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19 * THIS SOFTWARE IS PROVIDED BY THE NETBSD FOUNDATION, INC. AND CONTRIBUTORS
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20 * ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
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21 * TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
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22 * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE FOUNDATION OR CONTRIBUTORS
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23 * BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
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24 * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
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25 * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
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26 * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
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27 * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
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28 * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
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29 * POSSIBILITY OF SUCH DAMAGE.
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30 *
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31 * imported and modified include for newlib 2010/10/03
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32 * Marco Atzeri <marco_atzeri@yahoo.it>
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33 */
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34
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35 #include <complex.h>
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36 #include <math.h>
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37
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38 #ifdef __weak_alias
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39 __weak_alias(casinf, _casinf)
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40 #endif
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41
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42 float complex
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43 casinf(float complex z)
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44 {
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45 float complex w;
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46 float complex ca, ct, zz, z2;
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47 float x, y;
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48
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49 x = crealf(z);
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50 y = cimagf(z);
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51
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52 #if 0 /* MD: test is incorrect, casin(>1) is defined */
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53 if (y == 0.0f) {
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54 if (fabsf(x) > 1.0) {
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55 w = M_PI_2 + 0.0f * I;
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56 #if 0
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57 mtherr ("casin", DOMAIN);
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58 #endif
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59 } else {
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60 w = asinf(x) + 0.0f * I;
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61 }
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62 return w;
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63 }
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64 #endif
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65
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66 /* Power series expansion */
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67 /*
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68 b = cabsf(z);
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69 if( b < 0.125 )
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70 {
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71 z2.r = (x - y) * (x + y);
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72 z2.i = 2.0 * x * y;
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73
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74 cn = 1.0;
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75 n = 1.0;
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76 ca.r = x;
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77 ca.i = y;
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78 sum.r = x;
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79 sum.i = y;
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80 do
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81 {
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82 ct.r = z2.r * ca.r - z2.i * ca.i;
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83 ct.i = z2.r * ca.i + z2.i * ca.r;
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84 ca.r = ct.r;
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85 ca.i = ct.i;
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86
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87 cn *= n;
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88 n += 1.0;
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89 cn /= n;
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90 n += 1.0;
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91 b = cn/n;
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92
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93 ct.r *= b;
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94 ct.i *= b;
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95 sum.r += ct.r;
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96 sum.i += ct.i;
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97 b = fabsf(ct.r) + fabsf(ct.i);
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98 }
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99 while( b > MACHEP );
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100 w->r = sum.r;
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101 w->i = sum.i;
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102 return;
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103 }
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104 */
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105
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106
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107 ca = x + y * I;
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108 ct = ca * I;
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109 /* sqrt( 1 - z*z) */
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110 /* cmul( &ca, &ca, &zz ) */
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111 /*x * x - y * y */
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112 zz = (x - y) * (x + y) + (2.0f * x * y) * I;
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113
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114 zz = 1.0f - crealf(zz) - cimagf(zz) * I;
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115 z2 = csqrtf(zz);
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116
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117 zz = ct + z2;
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118 zz = clogf(zz);
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119 /* multiply by 1/i = -i */
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120 w = zz * (-1.0f * I);
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121 return w;
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122 }