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1 // mappers.cc -*- C++ -*- |
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2 /* |
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3 |
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4 Copyright (C) 1992, 1993 John W. Eaton |
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5 |
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6 This file is part of Octave. |
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7 |
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8 Octave is free software; you can redistribute it and/or modify it |
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9 under the terms of the GNU General Public License as published by the |
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10 Free Software Foundation; either version 2, or (at your option) any |
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11 later version. |
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12 |
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13 Octave is distributed in the hope that it will be useful, but WITHOUT |
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14 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or |
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15 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License |
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16 for more details. |
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17 |
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18 You should have received a copy of the GNU General Public License |
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19 along with Octave; see the file COPYING. If not, write to the Free |
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20 Software Foundation, 675 Mass Ave, Cambridge, MA 02139, USA. |
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21 |
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22 */ |
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23 |
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240
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24 #ifdef HAVE_CONFIG_H |
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25 #include "config.h" |
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26 #endif |
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27 |
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28 #include <math.h> |
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29 #include <float.h> |
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164
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30 #include <Complex.h> |
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31 |
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529
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32 #include "missing-math.h" |
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33 #include "variables.h" |
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34 #include "mappers.h" |
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35 #include "error.h" |
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36 #include "utils.h" |
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529
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37 #include "defun.h" |
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38 |
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39 #if defined (_AIX) && defined (__GNUG__) |
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40 #undef finite |
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41 #define finite(x) ((x) < DBL_MAX && (x) > -DBL_MAX) |
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42 #endif |
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43 |
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65
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44 #ifndef M_LOG10E |
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45 #define M_LOG10E 0.43429448190325182765 |
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46 #endif |
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47 |
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48 #ifndef M_PI |
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49 #define M_PI 3.14159265358979323846 |
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50 #endif |
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51 |
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706
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52 #if defined (HAVE_LGAMMA) && ! defined (SIGNGAM_DECLARED) |
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53 extern int signgam; |
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54 #endif |
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55 |
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56 // Double -> double mappers. |
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57 |
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58 double |
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59 arg (double x) |
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60 { |
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65
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61 if (x < 0.0) |
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62 return M_PI; |
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63 else |
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64 return 0.0; |
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65 } |
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66 |
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67 double |
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68 conj (double x) |
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69 { |
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70 return x; |
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71 } |
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72 |
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73 double |
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74 fix (double x) |
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75 { |
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76 int tmp; |
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77 tmp = (int) x; |
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78 return (double) tmp; |
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79 } |
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80 |
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81 double |
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82 imag (double x) |
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83 { |
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84 return 0.0; |
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85 } |
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86 |
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87 double |
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88 real (double x) |
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89 { |
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90 return x; |
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91 } |
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92 |
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93 double |
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94 round (double x) |
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95 { |
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96 return D_NINT (x); |
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97 } |
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98 |
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99 double |
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100 signum (double x) |
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101 { |
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102 double tmp = 0.0; |
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103 if (x < 0.0) |
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104 tmp = -1.0; |
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105 else if (x > 0.0) |
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106 tmp = 1.0; |
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107 return tmp; |
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108 } |
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109 |
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110 double |
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111 xerf (double x) |
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112 { |
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113 #if defined (HAVE_ERF) |
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114 return erf (x); |
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115 #else |
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116 error ("erf(x) not available on this system"); |
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117 #endif |
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118 } |
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119 |
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120 double |
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121 xerfc (double x) |
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122 { |
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123 #if defined (HAVE_ERFC) |
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124 return erfc (x); |
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125 #else |
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126 error ("erfc(x) not available on this system"); |
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127 #endif |
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128 } |
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129 |
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130 double |
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131 xisnan (double x) |
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132 { |
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133 #if defined (HAVE_ISNAN) |
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134 return (double) isnan (x); |
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135 #else |
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136 return 0; |
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137 #endif |
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138 } |
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139 |
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140 double |
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141 xfinite (double x) |
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142 { |
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143 #if defined (HAVE_FINITE) |
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144 return (double) finite (x); |
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145 #elif defined (HAVE_ISINF) && defined (HAVE_ISNAN) |
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146 return (double) (! isinf (x) && ! isnan (x)); |
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147 #else |
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148 return (double) (x > -DBL_MAX && x < DBL_MAX); |
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149 #endif |
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150 } |
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151 |
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152 double |
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624
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153 xgamma (double x) |
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154 { |
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155 #if defined (HAVE_LGAMMA) |
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156 double y = lgamma (x); |
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157 return signgam * exp (y); |
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158 #else |
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159 error ("gamma(x) not available on this system"); |
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160 #endif |
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161 } |
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162 |
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163 double |
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164 xisinf (double x) |
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165 { |
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166 #if defined (HAVE_ISINF) |
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167 return (double) isinf (x); |
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168 #elif defined (HAVE_FINITE) && defined (HAVE_ISNAN) |
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169 return (double) (! (finite (x) || isnan (x))); |
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170 #else |
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171 return (double) (x == DBL_MAX || x == -DBL_MAX); |
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172 #endif |
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173 } |
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174 |
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624
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175 double |
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176 xlgamma (double x) |
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177 { |
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178 #if defined (HAVE_LGAMMA) |
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179 return lgamma (x); |
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180 #else |
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181 error ("lgamma (x) not available on this system"); |
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182 #endif |
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183 } |
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184 |
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185 // Complex -> double mappers. |
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186 |
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187 double |
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188 xisnan (const Complex& x) |
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189 { |
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190 #if defined (HAVE_ISNAN) |
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191 double rx = real (x); |
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192 double ix = imag (x); |
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193 return (double) (isnan (rx) || isnan (ix)); |
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194 #else |
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195 return 0; |
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196 #endif |
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197 } |
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198 |
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199 double |
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200 xfinite (const Complex& x) |
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201 { |
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202 double rx = real (x); |
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203 double ix = imag (x); |
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204 return (double) (! ((int) xisinf (rx) || (int) xisinf (ix))); |
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205 } |
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206 |
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207 double |
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208 xisinf (const Complex& x) |
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209 { |
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210 return (double) (! (int) xfinite (x)); |
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211 } |
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212 |
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213 // Complex -> complex mappers. |
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214 |
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215 Complex |
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216 acos (const Complex& x) |
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217 { |
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218 static Complex i (0, 1); |
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219 Complex retval = -i * log (x + sqrt (x*x - 1.0)); |
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220 return retval; |
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221 } |
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222 |
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223 Complex |
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224 acosh (const Complex& x) |
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225 { |
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226 Complex retval = log (x + sqrt (x*x - 1.0)); |
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227 return retval; |
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228 } |
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229 |
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230 Complex |
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231 asin (const Complex& x) |
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232 { |
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233 static Complex i (0, 1); |
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234 Complex retval = -i * log (i*x + sqrt (1.0 - x*x)); |
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235 return retval; |
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236 } |
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237 |
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238 Complex |
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239 asinh (const Complex& x) |
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240 { |
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241 Complex retval = log (x + sqrt (x*x + 1.0)); |
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242 return retval; |
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243 } |
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244 |
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245 Complex |
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246 atan (const Complex& x) |
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247 { |
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248 static Complex i (0, 1); |
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249 Complex retval = i * log ((i + x) / (i - x)) / 2.0; |
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250 return retval; |
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251 } |
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252 |
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253 Complex |
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254 atanh (const Complex& x) |
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255 { |
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256 static Complex i (0, 1); |
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257 Complex retval = log ((1 + x) / (1 - x)) / 2.0; |
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258 return retval; |
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259 } |
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260 |
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261 Complex |
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262 ceil (const Complex& x) |
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263 { |
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264 int re = (int) ceil (real (x)); |
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265 int im = (int) ceil (imag (x)); |
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266 return Complex (re, im); |
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267 } |
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268 |
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269 Complex |
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270 fix (const Complex& x) |
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271 { |
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272 int re = (int) real (x); |
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273 int im = (int) imag (x); |
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274 return Complex (re, im); |
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275 } |
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276 |
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277 Complex |
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278 floor (const Complex& x) |
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279 { |
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280 int re = (int) floor (real (x)); |
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281 int im = (int) floor (imag (x)); |
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282 return Complex (re, im); |
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283 } |
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284 |
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285 Complex |
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286 log10 (const Complex& x) |
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287 { |
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288 return M_LOG10E * log (x); |
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289 } |
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290 |
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291 Complex |
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292 round (const Complex& x) |
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293 { |
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294 double re = D_NINT (real (x)); |
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295 double im = D_NINT (imag (x)); |
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296 return Complex (re, im); |
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297 } |
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298 |
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299 Complex |
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300 signum (const Complex& x) |
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301 { |
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302 return x / abs (x); |
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303 } |
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304 |
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305 Complex |
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306 tan (const Complex& x) |
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307 { |
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308 Complex retval = sin (x) / cos (x); |
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309 return retval; |
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310 } |
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311 |
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312 Complex |
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313 tanh (const Complex& x) |
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314 { |
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315 Complex retval = sinh (x) / cosh (x); |
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316 return retval; |
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317 } |
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318 |
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319 void |
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320 install_mapper_functions (void) |
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321 { |
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322 DEFUN_MAPPER ("abs", Sabs, 0, 0.0, 0.0, fabs, abs, 0, |
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323 "abs (X): compute abs (X) for each element of X"); |
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324 |
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325 DEFUN_MAPPER ("acos", Sacos, 1, -1.0, 1.0, acos, 0, acos, |
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326 "acos (X): compute acos (X) for each element of X"); |
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327 |
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328 DEFUN_MAPPER ("acosh", Sacosh, 1, 1.0, DBL_MAX, acosh, 0, acosh, |
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329 "acosh (X): compute acosh (X) for each element of X"); |
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330 |
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331 DEFUN_MAPPER ("angle", Sangle, 0, 0.0, 0.0, arg, arg, 0, |
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332 "angle (X): compute arg (X) for each element of X"); |
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333 |
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334 DEFUN_MAPPER ("arg", Sarg, 0, 0.0, 0.0, arg, arg, 0, |
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335 "arg (X): compute arg (X) for each element of X"); |
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336 |
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337 DEFUN_MAPPER ("asin", Sasin, 1, -1.0, 1.0, asin, 0, asin, |
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338 "asin (X): compute asin (X) for each element of X"); |
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339 |
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340 DEFUN_MAPPER ("asinh", Sasinh, 0, 0.0, 0.0, asinh, 0, asinh, |
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341 "asinh (X): compute asinh (X) for each element of X"); |
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342 |
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343 DEFUN_MAPPER ("atan", Satan, 0, 0.0, 0.0, atan, 0, atan, |
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344 "atan (X): compute atan (X) for each element of X"); |
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345 |
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346 DEFUN_MAPPER ("atanh", Satanh, 1, -1.0, 1.0, atanh, 0, atanh, |
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347 "atanh (X): compute atanh (X) for each element of X"); |
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348 |
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349 DEFUN_MAPPER ("ceil", Sceil, 0, 0.0, 0.0, ceil, 0, ceil, |
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350 "ceil (X): round elements of X toward +Inf"); |
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351 |
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352 DEFUN_MAPPER ("conj", Sconj, 0, 0.0, 0.0, conj, 0, conj, |
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353 "conj (X): compute complex conjugate for each element of X"); |
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354 |
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355 DEFUN_MAPPER ("cos", Scos, 0, 0.0, 0.0, cos, 0, cos, |
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356 "cos (X): compute cos (X) for each element of X"); |
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357 |
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358 DEFUN_MAPPER ("cosh", Scosh, 0, 0.0, 0.0, cosh, 0, cosh, |
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359 "cosh (X): compute cosh (X) for each element of X"); |
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360 |
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361 DEFUN_MAPPER ("erf", Serf, 0, 0.0, 0.0, xerf, 0, 0, |
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362 "erf (X): compute erf (X) for each element of X"); |
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363 |
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364 DEFUN_MAPPER ("erfc", Serfc, 0, 0.0, 0.0, xerfc, 0, 0, |
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365 "erfc (X): compute erfc (X) for each element of X"); |
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366 |
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367 DEFUN_MAPPER ("exp", Sexp, 0, 0.0, 0.0, exp, 0, exp, |
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368 "exp (X): compute exp (X) for each element of X"); |
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369 |
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370 DEFUN_MAPPER ("finite", Sfinite, 0, 0.0, 0.0, xfinite, xfinite, 0, |
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371 "finite (X): return 1 for finite elements of X"); |
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372 |
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373 DEFUN_MAPPER ("fix", Sfix, 0, 0.0, 0.0, fix, 0, fix, |
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374 "fix (X): round elements of X toward zero"); |
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375 |
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376 DEFUN_MAPPER ("floor", Sfloor, 0, 0.0, 0.0, floor, 0, floor, |
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377 "floor (X): round elements of X toward -Inf"); |
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378 |
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624
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379 DEFUN_MAPPER ("gamma", Sgamma, 0, 0.0, 0.0, xgamma, 0, 0, |
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380 "gamma (X): compute gamma (X) for each element of X"); |
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381 |
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382 DEFUN_MAPPER ("isinf", Sisinf, 0, 0.0, 0.0, xisinf, xisinf, 0, |
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383 "isinf (X): return 1 for elements of X infinite"); |
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384 |
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385 DEFUN_MAPPER ("imag", Simag, 0, 0.0, 0.0, imag, imag, 0, |
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386 "imag (X): return imaginary part for each elements of X"); |
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387 |
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388 DEFUN_MAPPER ("isnan", Sisnan, 0, 0.0, 0.0, xisnan, xisnan, 0, |
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389 "isnan (X): return 1 where elements of X are NaNs"); |
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624
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390 |
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391 DEFUN_MAPPER ("lgamma", Slgamma, 0, 0.0, 0.0, xlgamma, 0, 0, |
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392 "lgamma (X): compute log gamma (X) for each element of X"); |
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393 |
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394 DEFUN_MAPPER ("log", Slog, 1, 0.0, DBL_MAX, log, 0, log, |
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395 "log (X): compute log (X) for each element of X"); |
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396 |
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397 DEFUN_MAPPER ("log10", Slog10, 1, 0.0, DBL_MAX, log10, 0, log10, |
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398 "log10 (X): compute log10 (X) for each element of X"); |
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399 |
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400 DEFUN_MAPPER ("real", Sreal, 0, 0.0, 0.0, real, real, 0, |
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401 "real (X): return real part for each element of X"); |
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402 |
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403 DEFUN_MAPPER ("round", Sround, 0, 0.0, 0.0, round, 0, round, |
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404 "round (X): round elements of X to nearest integer"); |
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405 |
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406 DEFUN_MAPPER ("sign", Ssign, 0, 0.0, 0.0, signum, 0, signum, |
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407 "sign (X): apply signum function to elements of X"); |
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408 |
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409 DEFUN_MAPPER ("sin", Ssin, 0, 0.0, 0.0, sin, 0, sin, |
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410 "sin (X): compute sin (X) for each element of X"); |
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411 |
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412 DEFUN_MAPPER ("sinh", Ssinh, 0, 0.0, 0.0, sinh, 0, sinh, |
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413 "sinh (X): compute sinh (X) for each element of X"); |
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414 |
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415 DEFUN_MAPPER ("sqrt", Ssqrt, 1, 0.0, DBL_MAX, sqrt, 0, sqrt, |
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416 "sqrt (X): compute sqrt (X) for each element of X"); |
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417 |
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418 DEFUN_MAPPER ("tan", Stan, 0, 0.0, 0.0, tan, 0, tan, |
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419 "tan (X): compute tan (X) for each element of X"); |
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420 |
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421 DEFUN_MAPPER ("tanh", Stanh, 0, 0.0, 0.0, tanh, 0, tanh, |
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422 "tanh (X): compute tanh (X) for each element of X"); |
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423 } |
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424 |
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425 /* |
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426 ;;; Local Variables: *** |
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427 ;;; mode: C++ *** |
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428 ;;; page-delimiter: "^/\\*" *** |
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429 ;;; End: *** |
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430 */ |
