Mercurial > nand-ecoscentric
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> |
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| date | Sun, 18 Jan 2015 17:59:01 +1300 |
| parents | 77f9d3253c3e |
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| rev | line source |
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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 } |
