annotate packages/language/c/libm/current/src/float/portable-api/sf_atan.c @ 3260:77f9d3253c3e

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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1 //===========================================================================
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2 //
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3 // sf_atan.c
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4 //
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5 // Part of the standard mathematical function library
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6 //
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7 //===========================================================================
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8 // ####ECOSGPLCOPYRIGHTBEGIN####
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9 // -------------------------------------------
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10 // This file is part of eCos, the Embedded Configurable Operating System.
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11 // Copyright (C) 2012 Free Software Foundation, Inc.
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12 //
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13 // eCos is free software; you can redistribute it and/or modify it under
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14 // the terms of the GNU General Public License as published by the Free
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15 // Software Foundation; either version 2 or (at your option) any later
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16 // version.
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17 //
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18 // eCos is distributed in the hope that it will be useful, but WITHOUT
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19 // ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
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20 // FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
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21 // for more details.
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22 //
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23 // You should have received a copy of the GNU General Public License
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24 // along with eCos; if not, write to the Free Software Foundation, Inc.,
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25 // 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
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26 //
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27 // As a special exception, if other files instantiate templates or use
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28 // macros or inline functions from this file, or you compile this file
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29 // and link it with other works to produce a work based on this file,
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30 // this file does not by itself cause the resulting work to be covered by
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31 // the GNU General Public License. However the source code for this file
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32 // must still be made available in accordance with section (3) of the GNU
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33 // General Public License v2.
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34 //
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35 // This exception does not invalidate any other reasons why a work based
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36 // on this file might be covered by the GNU General Public License.
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37 // -------------------------------------------
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38 // ####ECOSGPLCOPYRIGHTEND####
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39 //===========================================================================
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40 //#####DESCRIPTIONBEGIN####
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41 //
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42 // Author(s):
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43 // Contributors: visar, ilijak
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44 // Date: 2012-03-08
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45 // Purpose:
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46 // Description:
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47 // Usage:
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48 //
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49 //####DESCRIPTIONEND####
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50 //
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51 //===========================================================================
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52
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53 // CONFIGURATION
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54
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55 #include <pkgconf/libm.h> // Configuration header
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56
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57 // Include the Math library?
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58 #ifdef CYGPKG_LIBM
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59
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60 // Derived from code with the following copyright
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61
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62
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63 /* sf_atan.c -- float version of s_atan.c.
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64 * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
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65 */
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66
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67 /*
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68 * ====================================================
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69 * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
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70 *
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71 * Developed at SunPro, a Sun Microsystems, Inc. business.
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72 * Permission to use, copy, modify, and distribute this
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73 * software is freely granted, provided that this notice
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74 * is preserved.
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75 * ====================================================
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76 *
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77 */
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78
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79
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80 #include "mathincl/fdlibm.h"
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81
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82 #ifdef __STDC__
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83 static const float atanhi[] = {
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84 #else
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85 static float atanhi[] = {
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86 #endif
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87 4.6364760399e-01, /* atan(0.5)hi 0x3eed6338 */
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88 7.8539812565e-01, /* atan(1.0)hi 0x3f490fda */
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89 9.8279368877e-01, /* atan(1.5)hi 0x3f7b985e */
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90 1.5707962513e+00, /* atan(inf)hi 0x3fc90fda */
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91 };
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92
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93 #ifdef __STDC__
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94 static const float atanlo[] = {
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95 #else
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96 static float atanlo[] = {
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97 #endif
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98 5.0121582440e-09, /* atan(0.5)lo 0x31ac3769 */
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99 3.7748947079e-08, /* atan(1.0)lo 0x33222168 */
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100 3.4473217170e-08, /* atan(1.5)lo 0x33140fb4 */
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101 7.5497894159e-08, /* atan(inf)lo 0x33a22168 */
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102 };
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103
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104 #ifdef __STDC__
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105 static const float aT[] = {
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106 #else
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107 static float aT[] = {
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108 #endif
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109 3.3333334327e-01, /* 0x3eaaaaaa */
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110 -2.0000000298e-01, /* 0xbe4ccccd */
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111 1.4285714924e-01, /* 0x3e124925 */
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112 -1.1111110449e-01, /* 0xbde38e38 */
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113 9.0908870101e-02, /* 0x3dba2e6e */
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114 -7.6918758452e-02, /* 0xbd9d8795 */
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115 6.6610731184e-02, /* 0x3d886b35 */
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116 -5.8335702866e-02, /* 0xbd6ef16b */
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117 4.9768779427e-02, /* 0x3d4bda59 */
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118 -3.6531571299e-02, /* 0xbd15a221 */
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119 1.6285819933e-02, /* 0x3c8569d7 */
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120 };
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121
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122 #ifdef __STDC__
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123 static const float
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124 #else
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125 static float
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126 #endif
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127 one = 1.0,
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128 huge = 1.0e30;
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129
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130 #ifdef __STDC__
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131 float atanf(float x)
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132 #else
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133 float atanf(x)
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134 float x;
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135 #endif
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136 {
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137 float w,s1,s2,z;
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138 __int32_t ix,hx,id;
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139
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140 hx = CYG_LIBM_WORD(x);
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141 ix = hx&0x7fffffff;
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142 if(ix>=0x50800000) { /* if |x| >= 2^34 */
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143 if(FLT_UWORD_IS_NAN(ix))
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144 return x+x; /* NaN */
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145 if(hx>0) return atanhi[3]+atanlo[3];
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146 else return -atanhi[3]-atanlo[3];
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147 } if (ix < 0x3ee00000) { /* |x| < 0.4375 */
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148 if (ix < 0x31000000) { /* |x| < 2^-29 */
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149 if(huge+x>one) return x; /* raise inexact */
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150 }
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151 id = -1;
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152 } else {
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153 x = fabsf(x);
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154 if (ix < 0x3f980000) { /* |x| < 1.1875 */
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155 if (ix < 0x3f300000) { /* 7/16 <=|x|<11/16 */
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156 id = 0; x = ((float)2.0*x-one)/((float)2.0+x);
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157 } else { /* 11/16<=|x|< 19/16 */
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158 id = 1; x = (x-one)/(x+one);
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159 }
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160 } else {
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161 if (ix < 0x401c0000) { /* |x| < 2.4375 */
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162 id = 2; x = (x-(float)1.5)/(one+(float)1.5*x);
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163 } else { /* 2.4375 <= |x| < 2^66 */
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164 id = 3; x = -(float)1.0/x;
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165 }
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166 }}
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167 /* end of argument reduction */
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168 z = x*x;
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169 w = z*z;
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170 /* break sum from i=0 to 10 aT[i]z**(i+1) into odd and even poly */
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171 s1 = z*(aT[0]+w*(aT[2]+w*(aT[4]+w*(aT[6]+w*(aT[8]+w*aT[10])))));
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172 s2 = w*(aT[1]+w*(aT[3]+w*(aT[5]+w*(aT[7]+w*aT[9]))));
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173 if (id<0) return x - x*(s1+s2);
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174 else {
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175 z = atanhi[id] - ((x*(s1+s2) - atanlo[id]) - x);
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176 return (hx<0)? -z:z;
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177 }
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178 }
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179
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180
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181 #endif // ifdef CYGPKG_LIBM
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182
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183 // EOF sf_atan.c