annotate packages/language/c/libm/current/src/complex/casin.c @ 3403:8c8767bb9a62 default tip

devs/nand/micron_mt29: Remove defunct references (in comments) to mt29f2g08_oob_ecc.
author Ross Younger <wry@ecoscentric.com>
date Sun, 18 Jan 2015 17:59:01 +1300
parents 77f9d3253c3e
children
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1 /* $NetBSD: casin.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 /*
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36 FUNCTION
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37 <<casin>>, <<casinf>>---complex arc sine
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38
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39 INDEX
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40 casin
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41 INDEX
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42 casinf
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43
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44 ANSI_SYNOPSIS
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45 #include <complex.h>
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46 double complex casin(double complex <[z]>);
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47 float complex casinf(float complex <[z]>);
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48
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49
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50 DESCRIPTION
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51 These functions compute the complex arc sine of <[z]>,
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52 with branch cuts outside the interval [-1, +1] along the real axis.
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53
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54 <<casinf>> is identical to <<casin>>, except that it performs
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55 its calculations on <<floats complex>>.
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56
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57 RETURNS
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58 @ifnottex
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59 These functions return the complex arc sine value, in the range
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60 of a strip mathematically unbounded along the imaginary axis
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61 and in the interval [-pi/2, +pi/2] along the real axis.
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62 @end ifnottex
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63 @tex
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64 These functions return the complex arc sine value, in the range
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65 of a strip mathematically unbounded along the imaginary axis
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66 and in the interval [$-\pi/2$, $+\pi/2$] along the real axis.
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67 @end tex
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68
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69 PORTABILITY
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70 <<casin>> and <<casinf>> are ISO C99
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71
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72 QUICKREF
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73 <<casin>> and <<casinf>> are ISO C99
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74
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75 */
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76
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77
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78 #include <complex.h>
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79 #include <math.h>
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80
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81 #ifdef __weak_alias
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82 __weak_alias(casin, _casin)
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83 #endif
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84
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85 double complex
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86 casin(double complex z)
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87 {
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88 double complex w;
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89 double complex ca, ct, zz, z2;
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90 double x, y;
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91
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92 x = creal(z);
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93 y = cimag(z);
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94
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95 #if 0 /* MD: test is incorrect, casin(>1) is defined */
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96 if (y == 0.0) {
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97 if (fabs(x) > 1.0) {
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98 w = M_PI_2 + 0.0 * I;
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99 #if 0
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100 mtherr ("casin", DOMAIN);
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101 #endif
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102 } else {
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103 w = asin(x) + 0.0 * I;
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104 }
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105 return w;
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106 }
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107 #endif
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108
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109 /* Power series expansion */
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110 /*
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111 b = cabs(z);
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112 if( b < 0.125 )
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113 {
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114 z2.r = (x - y) * (x + y);
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115 z2.i = 2.0 * x * y;
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116
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117 cn = 1.0;
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118 n = 1.0;
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119 ca.r = x;
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120 ca.i = y;
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121 sum.r = x;
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122 sum.i = y;
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123 do
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124 {
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125 ct.r = z2.r * ca.r - z2.i * ca.i;
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126 ct.i = z2.r * ca.i + z2.i * ca.r;
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127 ca.r = ct.r;
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128 ca.i = ct.i;
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129
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130 cn *= n;
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131 n += 1.0;
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132 cn /= n;
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133 n += 1.0;
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134 b = cn/n;
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135
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136 ct.r *= b;
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137 ct.i *= b;
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138 sum.r += ct.r;
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139 sum.i += ct.i;
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140 b = fabs(ct.r) + fabs(ct.i);
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141 }
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142 while( b > MACHEP );
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143 w->r = sum.r;
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144 w->i = sum.i;
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145 return;
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146 }
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147 */
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148
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149
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150 ca = x + y * I;
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151 ct = ca * I;
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152 /* sqrt( 1 - z*z) */
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153 /* cmul( &ca, &ca, &zz ) */
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154 /*x * x - y * y */
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155 zz = (x - y) * (x + y) + (2.0 * x * y) * I;
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156
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157 zz = 1.0 - creal(zz) - cimag(zz) * I;
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158 z2 = csqrt(zz);
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159
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160 zz = ct + z2;
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161 zz = clog(zz);
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162 /* multiply by 1/i = -i */
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163 w = zz * (-1.0 * I);
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164 return w;
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165 }