1
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1 // Some extra friends of the tree constant class. -*- C++ -*- |
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2 // See also the other tc-*.cc files. |
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3 /* |
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4 |
296
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5 Copyright (C) 1992, 1993, 1994 John W. Eaton |
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6 |
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7 This file is part of Octave. |
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8 |
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9 Octave is free software; you can redistribute it and/or modify it |
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10 under the terms of the GNU General Public License as published by the |
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11 Free Software Foundation; either version 2, or (at your option) any |
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12 later version. |
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13 |
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14 Octave is distributed in the hope that it will be useful, but WITHOUT |
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15 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or |
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16 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License |
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17 for more details. |
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18 |
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19 You should have received a copy of the GNU General Public License |
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20 along with Octave; see the file COPYING. If not, write to the Free |
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21 Software Foundation, 675 Mass Ave, Cambridge, MA 02139, USA. |
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22 |
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23 */ |
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24 |
240
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25 #ifdef HAVE_CONFIG_H |
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26 #include "config.h" |
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27 #endif |
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28 |
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29 #include <strstream.h> |
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30 #include <iostream.h> |
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31 #include <fstream.h> |
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32 #include <string.h> |
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33 #include <ctype.h> |
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34 |
456
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35 #include "EIG.h" |
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36 |
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37 #include "unwind-prot.h" |
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38 #include "tree-const.h" |
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39 #include "user-prefs.h" |
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40 #include "variables.h" |
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41 #include "octave.h" |
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42 #include "gripes.h" |
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43 #include "error.h" |
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44 #include "input.h" |
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45 #include "octave-hist.h" |
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46 #include "pager.h" |
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47 #include "utils.h" |
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48 #include "parse.h" |
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49 #include "lex.h" |
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50 |
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51 Matrix |
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52 max (const Matrix& a, const Matrix& b) |
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53 { |
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54 int nr = a.rows (); |
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55 int nc = a.columns (); |
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56 if (nr != b.rows () || nc != b.columns ()) |
226
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57 { |
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58 error ("two-arg max expecting args of same size"); |
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59 return Matrix (); |
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60 } |
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61 |
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62 Matrix result (nr, nc); |
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63 |
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64 for (int j = 0; j < nc; j++) |
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65 for (int i = 0; i < nr; i++) |
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66 { |
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67 double a_elem = a.elem (i, j); |
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68 double b_elem = b.elem (i, j); |
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69 result.elem (i, j) = MAX (a_elem, b_elem); |
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70 } |
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71 |
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72 return result; |
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73 } |
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74 |
199
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75 ComplexMatrix |
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76 max (const ComplexMatrix& a, const ComplexMatrix& b) |
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77 { |
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78 int nr = a.rows (); |
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79 int nc = a.columns (); |
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80 if (nr != b.rows () || nc != b.columns ()) |
226
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81 { |
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82 error ("two-arg max expecting args of same size"); |
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83 return ComplexMatrix (); |
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84 } |
199
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85 |
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86 ComplexMatrix result (nr, nc); |
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87 |
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88 for (int j = 0; j < nc; j++) |
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89 for (int i = 0; i < nr; i++) |
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90 { |
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91 double abs_a_elem = abs (a.elem (i, j)); |
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92 double abs_b_elem = abs (b.elem (i, j)); |
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93 if (abs_a_elem > abs_b_elem) |
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94 result.elem (i, j) = a.elem (i, j); |
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95 else |
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96 result.elem (i, j) = b.elem (i, j); |
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97 } |
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98 |
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99 return result; |
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100 } |
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101 |
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102 Matrix |
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103 min (const Matrix& a, const Matrix& b) |
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104 { |
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105 int nr = a.rows (); |
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106 int nc = a.columns (); |
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107 if (nr != b.rows () || nc != b.columns ()) |
226
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108 { |
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109 error ("two-arg min expecting args of same size"); |
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110 return Matrix (); |
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111 } |
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112 |
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113 Matrix result (nr, nc); |
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114 |
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115 for (int j = 0; j < nc; j++) |
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116 for (int i = 0; i < nr; i++) |
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117 { |
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118 double a_elem = a.elem (i, j); |
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119 double b_elem = b.elem (i, j); |
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120 result.elem (i, j) = MIN (a_elem, b_elem); |
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121 } |
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122 |
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123 return result; |
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124 } |
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125 |
199
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126 ComplexMatrix |
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127 min (const ComplexMatrix& a, const ComplexMatrix& b) |
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128 { |
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129 int nr = a.rows (); |
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130 int nc = a.columns (); |
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131 if (nr != b.rows () || nc != b.columns ()) |
226
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132 { |
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133 error ("two-arg min expecting args of same size"); |
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134 return ComplexMatrix (); |
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135 } |
199
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136 |
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137 ComplexMatrix result (nr, nc); |
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138 |
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139 for (int j = 0; j < nc; j++) |
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140 for (int i = 0; i < nr; i++) |
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141 { |
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142 double abs_a_elem = abs (a.elem (i, j)); |
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143 double abs_b_elem = abs (b.elem (i, j)); |
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144 if (abs_a_elem < abs_b_elem) |
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145 result.elem (i, j) = a.elem (i, j); |
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146 else |
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147 result.elem (i, j) = b.elem (i, j); |
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148 } |
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149 |
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150 return result; |
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151 } |
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152 |
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153 static void |
164
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154 get_dimensions (const tree_constant& a, const char *warn_for, |
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155 int& nr, int& nc) |
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156 { |
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157 tree_constant tmpa = a.make_numeric (); |
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158 |
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159 if (tmpa.is_scalar_type ()) |
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160 { |
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161 double tmp = tmpa.double_value (); |
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162 nr = nc = NINT (tmp); |
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163 } |
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164 else |
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165 { |
481
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166 nr = tmpa.rows (); |
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167 nc = tmpa.columns (); |
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168 |
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169 if ((nr == 1 && nc == 2) || (nr == 2 && nc == 1)) |
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170 { |
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171 ColumnVector v = tmpa.to_vector (); |
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172 |
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173 nr = NINT (v.elem (0)); |
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174 nc = NINT (v.elem (1)); |
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175 } |
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176 else |
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177 warning ("%s (A): use %s (size (A)) instead", warn_for, warn_for); |
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178 } |
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179 |
143
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180 check_dimensions (nr, nc, warn_for); // May set error_state. |
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181 } |
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182 |
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183 static void |
164
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184 get_dimensions (const tree_constant& a, const tree_constant& b, |
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185 const char *warn_for, int& nr, int& nc) |
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186 { |
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187 tree_constant tmpa = a.make_numeric (); |
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188 tree_constant tmpb = b.make_numeric (); |
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189 |
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190 if (tmpa.is_scalar_type () && tmpb.is_scalar_type ()) |
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191 { |
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192 nr = NINT (tmpa.double_value ()); |
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193 nc = NINT (tmpb.double_value ()); |
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194 |
143
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195 check_dimensions (nr, nc, warn_for); // May set error_state. |
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196 } |
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197 else |
143
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198 error ("%s: expecting two scalar arguments", warn_for); |
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199 } |
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200 |
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201 tree_constant |
164
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202 fill_matrix (const tree_constant& a, double val, const char *warn_for) |
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203 { |
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204 int nr, nc; |
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205 get_dimensions (a, warn_for, nr, nc); |
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206 |
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207 if (error_state) |
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208 return tree_constant (); |
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209 |
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210 Matrix m (nr, nc, val); |
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211 |
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212 return tree_constant (m); |
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213 } |
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214 |
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215 tree_constant |
164
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216 fill_matrix (const tree_constant& a, const tree_constant& b, |
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217 double val, const char *warn_for) |
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218 { |
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219 int nr, nc; |
143
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220 get_dimensions (a, b, warn_for, nr, nc); // May set error_state. |
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221 |
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222 if (error_state) |
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223 return tree_constant (); |
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224 |
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225 Matrix m (nr, nc, val); |
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226 |
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227 return tree_constant (m); |
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228 } |
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229 |
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230 tree_constant |
164
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231 identity_matrix (const tree_constant& a) |
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232 { |
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233 int nr, nc; |
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234 get_dimensions (a, "eye", nr, nc); // May set error_state. |
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235 |
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236 if (error_state) |
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237 return tree_constant (); |
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238 |
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239 Matrix m (nr, nc, 0.0); |
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240 |
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241 if (nr > 0 && nc > 0) |
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242 { |
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243 int n = MIN (nr, nc); |
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244 for (int i = 0; i < n; i++) |
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245 m.elem (i, i) = 1.0; |
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246 } |
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247 |
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248 return tree_constant (m); |
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249 } |
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250 |
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251 tree_constant |
164
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252 identity_matrix (const tree_constant& a, const tree_constant& b) |
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253 { |
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254 int nr, nc; |
143
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255 get_dimensions (a, b, "eye", nr, nc); // May set error_state. |
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256 |
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257 if (error_state) |
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258 return tree_constant (); |
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259 |
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260 Matrix m (nr, nc, 0.0); |
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261 |
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262 if (nr > 0 && nc > 0) |
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263 { |
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264 int n = MIN (nr, nc); |
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265 for (int i = 0; i < n; i++) |
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266 m.elem (i, i) = 1.0; |
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267 } |
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268 |
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269 return tree_constant (m); |
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270 } |
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271 |
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272 static tree_constant |
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273 find_nonzero_elem_idx (const Matrix& m) |
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274 { |
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275 int count = 0; |
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276 int m_nr = m.rows (); |
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277 int m_nc = m.columns (); |
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278 |
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279 int i; |
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280 for (int j = 0; j < m_nc; j++) |
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281 for (i = 0; i < m_nr; i++) |
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282 if (m.elem (i, j) != 0) |
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283 count++; |
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284 |
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285 Matrix result; |
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286 |
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287 if (count == 0) |
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288 return result; |
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289 |
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290 if (m_nr == 1) |
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291 { |
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292 result.resize (1, count); |
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293 count = 0; |
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294 for (j = 0; j < m_nc; j++) |
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295 if (m.elem (0, j) != 0) |
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296 { |
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297 result (0, count) = j + 1; |
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298 count++; |
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299 } |
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300 return tree_constant (result); |
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301 } |
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302 else |
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303 { |
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304 ColumnVector v (count); |
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305 count = 0; |
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306 for (j = 0; j < m_nc; j++) |
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307 for (i = 0; i < m_nr; i++) |
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308 if (m.elem (i, j) != 0) |
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309 { |
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310 v.elem (count) = m_nr * j + i + 1; |
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311 count++; |
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312 } |
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313 return tree_constant (v, 1); // Always make a column vector. |
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314 } |
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315 } |
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316 |
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317 static tree_constant |
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318 find_nonzero_elem_idx (const ComplexMatrix& m) |
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319 { |
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320 int count = 0; |
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321 int m_nr = m.rows (); |
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322 int m_nc = m.columns (); |
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323 |
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324 for (int j = 0; j < m_nc; j++) |
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325 { |
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326 for (int i = 0; i < m_nr; i++) |
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327 if (m.elem (i, j) != 0) |
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328 count++; |
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329 } |
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330 |
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331 Matrix result; |
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332 |
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333 if (count == 0) |
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334 return result; |
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335 |
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336 if (m_nr == 1) |
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337 { |
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338 result.resize (1, count); |
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339 count = 0; |
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340 for (j = 0; j < m_nc; j++) |
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341 if (m.elem (0, j) != 0) |
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342 { |
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343 result (0, count) = j + 1; |
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344 count++; |
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345 } |
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346 return tree_constant (result); |
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347 } |
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348 else |
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349 { |
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350 ColumnVector v (count); |
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351 count = 0; |
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352 for (j = 0; j < m_nc; j++) |
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353 { |
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354 for (int i = 0; i < m_nr; i++) |
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355 if (m.elem (i, j) != 0) |
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356 { |
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357 v.elem (count) = m_nr * j + i + 1; |
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358 count++; |
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359 } |
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360 } |
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361 return tree_constant (v, 1); // Always make a column vector. |
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362 } |
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363 } |
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364 |
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365 tree_constant |
164
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366 find_nonzero_elem_idx (const tree_constant& a) |
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367 { |
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368 tree_constant retval; |
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369 |
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370 tree_constant tmp = a.make_numeric (); |
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371 |
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372 Matrix result; |
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373 |
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374 switch (tmp.const_type ()) |
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375 { |
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376 case tree_constant_rep::matrix_constant: |
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377 { |
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378 Matrix m = tmp.matrix_value (); |
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379 return find_nonzero_elem_idx (m); |
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380 } |
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381 break; |
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382 case tree_constant_rep::scalar_constant: |
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383 { |
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384 double d = tmp.double_value (); |
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385 if (d != 0.0) |
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386 return tree_constant (1.0); |
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387 else |
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388 return tree_constant (result); |
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389 } |
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390 break; |
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391 case tree_constant_rep::complex_matrix_constant: |
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392 { |
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393 ComplexMatrix m = tmp.complex_matrix_value (); |
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394 return find_nonzero_elem_idx (m); |
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395 } |
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396 break; |
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397 case tree_constant_rep::complex_scalar_constant: |
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398 { |
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399 Complex c = tmp.complex_value (); |
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400 if (c != 0.0) |
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401 return tree_constant (1.0); |
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402 else |
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403 return tree_constant (result); |
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404 } |
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405 break; |
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406 default: |
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407 break; |
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408 } |
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409 return retval; |
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410 } |
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411 |
51
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412 // XXX FIXME XXX -- the next two functions (and expm) should really be just |
1
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413 // one... |
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414 |
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415 tree_constant * |
164
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416 matrix_log (const tree_constant& a) |
1
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417 { |
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418 tree_constant *retval = new tree_constant [2]; |
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419 |
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420 tree_constant tmp = a.make_numeric ();; |
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421 |
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422 if (tmp.rows () == 0 || tmp.columns () == 0) |
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423 { |
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424 int flag = user_pref.propagate_empty_matrices; |
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425 if (flag != 0) |
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426 { |
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427 if (flag < 0) |
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428 gripe_empty_arg ("logm", 0); |
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429 Matrix m; |
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430 retval = new tree_constant [2]; |
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431 retval[0] = tree_constant (m); |
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432 return retval; |
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433 } |
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434 else |
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435 gripe_empty_arg ("logm", 1); |
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436 } |
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437 |
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438 switch (tmp.const_type ()) |
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439 { |
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440 case tree_constant_rep::matrix_constant: |
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441 { |
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442 Matrix m = tmp.matrix_value (); |
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443 |
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444 int nr = m.rows (); |
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445 int nc = m.columns (); |
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446 |
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447 if (nr == 0 || nc == 0 || nr != nc) |
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448 gripe_square_matrix_required ("logm"); |
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449 else |
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450 { |
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451 EIG m_eig (m); |
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452 ComplexColumnVector lambda (m_eig.eigenvalues ()); |
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453 ComplexMatrix Q (m_eig.eigenvectors ()); |
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454 |
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455 for (int i = 0; i < nr; i++) |
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456 { |
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457 Complex elt = lambda.elem (i); |
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458 if (imag (elt) == 0.0 && real (elt) > 0.0) |
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459 lambda.elem (i) = log (real (elt)); |
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460 else |
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461 lambda.elem (i) = log (elt); |
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462 } |
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463 |
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464 ComplexDiagMatrix D (lambda); |
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465 ComplexMatrix result = Q * D * Q.inverse (); |
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466 |
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467 retval[0] = tree_constant (result); |
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468 } |
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469 } |
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470 break; |
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471 case tree_constant_rep::complex_matrix_constant: |
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472 { |
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473 ComplexMatrix m = tmp.complex_matrix_value (); |
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474 |
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475 int nr = m.rows (); |
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476 int nc = m.columns (); |
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477 |
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478 if (nr == 0 || nc == 0 || nr != nc) |
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479 gripe_square_matrix_required ("logm"); |
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480 else |
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481 { |
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482 EIG m_eig (m); |
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483 ComplexColumnVector lambda (m_eig.eigenvalues ()); |
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484 ComplexMatrix Q (m_eig.eigenvectors ()); |
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485 |
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486 for (int i = 0; i < nr; i++) |
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487 { |
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488 Complex elt = lambda.elem (i); |
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489 if (imag (elt) == 0.0 && real (elt) > 0.0) |
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490 lambda.elem (i) = log (real (elt)); |
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491 else |
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492 lambda.elem (i) = log (elt); |
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493 } |
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494 |
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495 ComplexDiagMatrix D (lambda); |
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496 ComplexMatrix result = Q * D * Q.inverse (); |
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497 |
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498 retval[0] = tree_constant (result); |
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499 } |
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500 } |
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501 break; |
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502 case tree_constant_rep::scalar_constant: |
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503 { |
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504 double d = tmp.double_value (); |
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505 if (d > 0.0) |
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506 retval[0] = tree_constant (log (d)); |
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507 else |
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508 { |
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509 Complex dtmp (d); |
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510 retval[0] = tree_constant (log (dtmp)); |
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511 } |
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512 } |
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513 break; |
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514 case tree_constant_rep::complex_scalar_constant: |
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515 { |
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516 Complex c = tmp.complex_value (); |
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517 retval[0] = tree_constant (log (c)); |
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518 } |
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519 break; |
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520 default: |
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521 break; |
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522 } |
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523 return retval; |
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524 } |
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525 |
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526 tree_constant * |
164
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527 matrix_sqrt (const tree_constant& a) |
1
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528 { |
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529 tree_constant *retval = new tree_constant [2]; |
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530 |
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531 tree_constant tmp = a.make_numeric ();; |
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532 |
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533 if (tmp.rows () == 0 || tmp.columns () == 0) |
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534 { |
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535 int flag = user_pref.propagate_empty_matrices; |
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536 if (flag != 0) |
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537 { |
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538 if (flag < 0) |
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539 gripe_empty_arg ("sqrtm", 0); |
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540 Matrix m; |
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541 retval = new tree_constant [2]; |
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542 retval[0] = tree_constant (m); |
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543 return retval; |
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544 } |
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545 else |
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546 gripe_empty_arg ("sqrtm", 1); |
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547 } |
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548 |
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549 switch (tmp.const_type ()) |
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550 { |
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551 case tree_constant_rep::matrix_constant: |
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552 { |
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553 Matrix m = tmp.matrix_value (); |
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554 |
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555 int nr = m.rows (); |
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556 int nc = m.columns (); |
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557 |
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558 if (nr == 0 || nc == 0 || nr != nc) |
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559 gripe_square_matrix_required ("sqrtm"); |
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560 else |
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561 { |
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562 EIG m_eig (m); |
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563 ComplexColumnVector lambda (m_eig.eigenvalues ()); |
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564 ComplexMatrix Q (m_eig.eigenvectors ()); |
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565 |
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566 for (int i = 0; i < nr; i++) |
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567 { |
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568 Complex elt = lambda.elem (i); |
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569 if (imag (elt) == 0.0 && real (elt) > 0.0) |
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570 lambda.elem (i) = sqrt (real (elt)); |
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571 else |
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572 lambda.elem (i) = sqrt (elt); |
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573 } |
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574 |
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575 ComplexDiagMatrix D (lambda); |
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576 ComplexMatrix result = Q * D * Q.inverse (); |
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577 |
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578 retval[0] = tree_constant (result); |
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579 } |
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580 } |
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581 break; |
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582 case tree_constant_rep::complex_matrix_constant: |
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583 { |
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584 ComplexMatrix m = tmp.complex_matrix_value (); |
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585 |
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586 int nr = m.rows (); |
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587 int nc = m.columns (); |
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588 |
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589 if (nr == 0 || nc == 0 || nr != nc) |
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590 gripe_square_matrix_required ("sqrtm"); |
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591 else |
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592 { |
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593 EIG m_eig (m); |
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594 ComplexColumnVector lambda (m_eig.eigenvalues ()); |
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595 ComplexMatrix Q (m_eig.eigenvectors ()); |
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596 |
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597 for (int i = 0; i < nr; i++) |
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598 { |
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599 Complex elt = lambda.elem (i); |
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600 if (imag (elt) == 0.0 && real (elt) > 0.0) |
|
601 lambda.elem (i) = sqrt (real (elt)); |
|
602 else |
|
603 lambda.elem (i) = sqrt (elt); |
|
604 } |
|
605 |
|
606 ComplexDiagMatrix D (lambda); |
|
607 ComplexMatrix result = Q * D * Q.inverse (); |
|
608 |
|
609 retval[0] = tree_constant (result); |
|
610 } |
|
611 } |
|
612 break; |
|
613 case tree_constant_rep::scalar_constant: |
|
614 { |
|
615 double d = tmp.double_value (); |
|
616 if (d > 0.0) |
|
617 retval[0] = tree_constant (sqrt (d)); |
|
618 else |
|
619 { |
|
620 Complex dtmp (d); |
|
621 retval[0] = tree_constant (sqrt (dtmp)); |
|
622 } |
|
623 } |
|
624 break; |
|
625 case tree_constant_rep::complex_scalar_constant: |
|
626 { |
|
627 Complex c = tmp.complex_value (); |
|
628 retval[0] = tree_constant (log (c)); |
|
629 } |
|
630 break; |
|
631 default: |
|
632 break; |
|
633 } |
|
634 return retval; |
|
635 } |
|
636 |
|
637 tree_constant * |
164
|
638 column_max (const tree_constant *args, int nargin, int nargout) |
1
|
639 { |
|
640 tree_constant *retval = NULL_TREE_CONST; |
|
641 |
|
642 tree_constant arg1; |
|
643 tree_constant arg2; |
|
644 tree_constant_rep::constant_type arg1_type = |
|
645 tree_constant_rep::unknown_constant; |
|
646 tree_constant_rep::constant_type arg2_type = |
|
647 tree_constant_rep::unknown_constant; |
|
648 |
|
649 switch (nargin) |
|
650 { |
|
651 case 3: |
|
652 arg2 = args[2].make_numeric (); |
|
653 arg2_type = arg2.const_type (); |
|
654 // Fall through... |
|
655 case 2: |
|
656 arg1 = args[1].make_numeric (); |
|
657 arg1_type = arg1.const_type (); |
|
658 break; |
|
659 default: |
|
660 panic_impossible (); |
|
661 break; |
|
662 } |
|
663 |
|
664 if (nargin == 2 && nargout == 1) |
|
665 { |
|
666 retval = new tree_constant [2]; |
199
|
667 switch (arg1_type) |
1
|
668 { |
199
|
669 case tree_constant_rep::scalar_constant: |
|
670 retval[0] = tree_constant (arg1.double_value ()); |
|
671 break; |
|
672 case tree_constant_rep::complex_scalar_constant: |
|
673 retval[0] = tree_constant (arg1.complex_value ()); |
|
674 break; |
|
675 case tree_constant_rep::matrix_constant: |
|
676 { |
|
677 Matrix m = arg1.matrix_value (); |
|
678 if (m.rows () == 1) |
|
679 retval[0] = tree_constant (m.row_max ()); |
|
680 else |
|
681 retval[0] = tree_constant (m.column_max (), 0); |
|
682 } |
|
683 break; |
|
684 case tree_constant_rep::complex_matrix_constant: |
|
685 { |
|
686 ComplexMatrix m = arg1.complex_matrix_value (); |
|
687 if (m.rows () == 1) |
|
688 retval[0] = tree_constant (m.row_max ()); |
|
689 else |
|
690 retval[0] = tree_constant (m.column_max (), 0); |
|
691 } |
|
692 break; |
|
693 default: |
|
694 panic_impossible (); |
|
695 break; |
1
|
696 } |
|
697 } |
|
698 else if (nargin == 2 && nargout == 2) |
199
|
699 { |
|
700 retval = new tree_constant [2]; |
|
701 switch (arg1_type) |
|
702 { |
|
703 case tree_constant_rep::scalar_constant: |
|
704 { |
|
705 retval[0] = tree_constant (arg1.double_value ()); |
|
706 retval[1] = tree_constant (1); |
|
707 } |
|
708 break; |
|
709 case tree_constant_rep::complex_scalar_constant: |
|
710 { |
|
711 retval[0] = tree_constant (arg1.complex_value ()); |
|
712 retval[1] = tree_constant (1); |
|
713 } |
|
714 break; |
|
715 case tree_constant_rep::matrix_constant: |
|
716 { |
|
717 Matrix m = arg1.matrix_value (); |
|
718 if (m.rows () == 1) |
|
719 { |
|
720 retval[0] = tree_constant (m.row_max ()); |
|
721 retval[1] = tree_constant (m.row_max_loc ()); |
|
722 } |
|
723 else |
|
724 { |
|
725 retval[0] = tree_constant (m.column_max (), 0); |
|
726 retval[1] = tree_constant (m.column_max_loc (), 0); |
|
727 } |
|
728 } |
|
729 break; |
|
730 case tree_constant_rep::complex_matrix_constant: |
|
731 { |
|
732 ComplexMatrix m = arg1.complex_matrix_value (); |
|
733 if (m.rows () == 1) |
|
734 { |
|
735 retval[0] = tree_constant (m.row_max ()); |
|
736 retval[1] = tree_constant (m.row_max_loc ()); |
|
737 } |
|
738 else |
|
739 { |
|
740 retval[0] = tree_constant (m.column_max (), 0); |
|
741 retval[1] = tree_constant (m.column_max_loc (), 0); |
|
742 } |
|
743 } |
|
744 break; |
|
745 default: |
|
746 panic_impossible (); |
|
747 break; |
|
748 } |
|
749 } |
1
|
750 else if (nargin == 3) |
|
751 { |
|
752 if (arg1.rows () == arg2.rows () |
|
753 && arg1.columns () == arg2.columns ()) |
|
754 { |
|
755 retval = new tree_constant [2]; |
199
|
756 switch (arg1_type) |
|
757 { |
|
758 case tree_constant_rep::scalar_constant: |
|
759 { |
|
760 double result; |
|
761 double a_elem = arg1.double_value (); |
|
762 double b_elem = arg2.double_value (); |
433
|
763 result = MAX (a_elem, b_elem); |
199
|
764 retval[0] = tree_constant (result); |
|
765 } |
|
766 break; |
|
767 case tree_constant_rep::complex_scalar_constant: |
|
768 { |
|
769 Complex result; |
|
770 Complex a_elem = arg1.complex_value (); |
|
771 Complex b_elem = arg2.complex_value (); |
433
|
772 if (abs (a_elem) > abs (b_elem)) |
199
|
773 result = a_elem; |
|
774 else |
|
775 result = b_elem; |
|
776 retval[0] = tree_constant (result); |
|
777 } |
|
778 break; |
|
779 case tree_constant_rep::matrix_constant: |
|
780 { |
|
781 Matrix result; |
|
782 result = max (arg1.matrix_value (), arg2.matrix_value ()); |
|
783 retval[0] = tree_constant (result); |
|
784 } |
|
785 break; |
|
786 case tree_constant_rep::complex_matrix_constant: |
|
787 { |
|
788 ComplexMatrix result; |
|
789 result = max (arg1.complex_matrix_value (), |
|
790 arg2.complex_matrix_value ()); |
|
791 retval[0] = tree_constant (result); |
|
792 } |
|
793 break; |
|
794 default: |
|
795 panic_impossible (); |
|
796 break; |
1
|
797 } |
|
798 } |
|
799 else |
217
|
800 error ("max: nonconformant matrices"); |
1
|
801 } |
|
802 else |
|
803 panic_impossible (); |
|
804 |
|
805 return retval; |
|
806 } |
|
807 |
|
808 tree_constant * |
164
|
809 column_min (const tree_constant *args, int nargin, int nargout) |
1
|
810 { |
|
811 tree_constant *retval = NULL_TREE_CONST; |
|
812 |
|
813 tree_constant arg1; |
|
814 tree_constant arg2; |
|
815 tree_constant_rep::constant_type arg1_type = |
|
816 tree_constant_rep::unknown_constant; |
|
817 tree_constant_rep::constant_type arg2_type = |
|
818 tree_constant_rep::unknown_constant; |
|
819 |
|
820 switch (nargin) |
|
821 { |
|
822 case 3: |
|
823 arg2 = args[2].make_numeric (); |
|
824 arg2_type = arg2.const_type (); |
|
825 // Fall through... |
|
826 case 2: |
|
827 arg1 = args[1].make_numeric (); |
|
828 arg1_type = arg1.const_type (); |
|
829 break; |
|
830 default: |
|
831 panic_impossible (); |
|
832 break; |
|
833 } |
|
834 |
|
835 if (nargin == 2 && nargout == 1) |
|
836 { |
|
837 retval = new tree_constant [2]; |
199
|
838 switch (arg1_type) |
1
|
839 { |
199
|
840 case tree_constant_rep::scalar_constant: |
|
841 retval[0] = tree_constant (arg1.double_value ()); |
|
842 break; |
|
843 case tree_constant_rep::complex_scalar_constant: |
|
844 retval[0] = tree_constant (arg1.complex_value ()); |
|
845 break; |
|
846 case tree_constant_rep::matrix_constant: |
|
847 { |
|
848 Matrix m = arg1.matrix_value (); |
|
849 if (m.rows () == 1) |
|
850 retval[0] = tree_constant (m.row_min ()); |
|
851 else |
|
852 retval[0] = tree_constant (m.column_min (), 0); |
|
853 } |
|
854 break; |
|
855 case tree_constant_rep::complex_matrix_constant: |
|
856 { |
|
857 ComplexMatrix m = arg1.complex_matrix_value (); |
|
858 if (m.rows () == 1) |
|
859 retval[0] = tree_constant (m.row_min ()); |
|
860 else |
|
861 retval[0] = tree_constant (m.column_min (), 0); |
|
862 } |
|
863 break; |
|
864 default: |
|
865 panic_impossible (); |
|
866 break; |
1
|
867 } |
|
868 } |
|
869 else if (nargin == 2 && nargout == 2) |
199
|
870 { |
|
871 retval = new tree_constant [2]; |
|
872 switch (arg1_type) |
|
873 { |
|
874 case tree_constant_rep::scalar_constant: |
|
875 { |
|
876 retval[0] = tree_constant (arg1.double_value ()); |
|
877 retval[1] = tree_constant (1); |
|
878 } |
|
879 break; |
|
880 case tree_constant_rep::complex_scalar_constant: |
|
881 { |
|
882 retval[0] = tree_constant (arg1.complex_value ()); |
|
883 retval[1] = tree_constant (1); |
|
884 } |
|
885 break; |
|
886 case tree_constant_rep::matrix_constant: |
|
887 { |
|
888 Matrix m = arg1.matrix_value (); |
|
889 if (m.rows () == 1) |
|
890 { |
|
891 retval[0] = tree_constant (m.row_min ()); |
|
892 retval[1] = tree_constant (m.row_min_loc ()); |
|
893 } |
|
894 else |
|
895 { |
|
896 retval[0] = tree_constant (m.column_min (), 0); |
|
897 retval[1] = tree_constant (m.column_min_loc (), 0); |
|
898 } |
|
899 } |
|
900 break; |
|
901 case tree_constant_rep::complex_matrix_constant: |
|
902 { |
|
903 ComplexMatrix m = arg1.complex_matrix_value (); |
|
904 if (m.rows () == 1) |
|
905 { |
|
906 retval[0] = tree_constant (m.row_min ()); |
|
907 retval[1] = tree_constant (m.row_min_loc ()); |
|
908 } |
|
909 else |
|
910 { |
|
911 retval[0] = tree_constant (m.column_min (), 0); |
|
912 retval[1] = tree_constant (m.column_min_loc (), 0); |
|
913 } |
|
914 } |
|
915 break; |
|
916 default: |
|
917 panic_impossible (); |
|
918 break; |
|
919 } |
|
920 } |
1
|
921 else if (nargin == 3) |
|
922 { |
|
923 if (arg1.rows () == arg2.rows () |
|
924 && arg1.columns () == arg2.columns ()) |
|
925 { |
|
926 retval = new tree_constant [2]; |
199
|
927 switch (arg1_type) |
|
928 { |
|
929 case tree_constant_rep::scalar_constant: |
|
930 { |
|
931 double result; |
|
932 double a_elem = arg1.double_value (); |
|
933 double b_elem = arg2.double_value (); |
|
934 result = MIN (a_elem, b_elem); |
|
935 retval[0] = tree_constant (result); |
|
936 } |
|
937 break; |
|
938 case tree_constant_rep::complex_scalar_constant: |
|
939 { |
|
940 Complex result; |
|
941 Complex a_elem = arg1.complex_value (); |
|
942 Complex b_elem = arg2.complex_value (); |
433
|
943 if (abs (a_elem) < abs (b_elem)) |
199
|
944 result = a_elem; |
|
945 else |
|
946 result = b_elem; |
|
947 retval[0] = tree_constant (result); |
|
948 } |
|
949 break; |
|
950 case tree_constant_rep::matrix_constant: |
|
951 { |
|
952 Matrix result; |
|
953 result = min (arg1.matrix_value (), arg2.matrix_value ()); |
|
954 retval[0] = tree_constant (result); |
|
955 } |
|
956 break; |
|
957 case tree_constant_rep::complex_matrix_constant: |
|
958 { |
|
959 ComplexMatrix result; |
|
960 result = min (arg1.complex_matrix_value (), |
|
961 arg2.complex_matrix_value ()); |
|
962 retval[0] = tree_constant (result); |
|
963 } |
|
964 break; |
|
965 default: |
|
966 panic_impossible (); |
|
967 break; |
1
|
968 } |
|
969 } |
|
970 else |
217
|
971 error ("min: nonconformant matrices"); |
1
|
972 } |
|
973 else |
|
974 panic_impossible (); |
|
975 |
|
976 return retval; |
|
977 } |
|
978 |
|
979 static void |
|
980 mx_sort (Matrix& m, Matrix& idx, int return_idx) |
|
981 { |
|
982 int nr = m.rows (); |
|
983 int nc = m.columns (); |
|
984 idx.resize (nr, nc); |
|
985 int i, j; |
|
986 |
|
987 if (return_idx) |
|
988 { |
|
989 for (j = 0; j < nc; j++) |
|
990 for (i = 0; i < nr; i++) |
|
991 idx.elem (i, j) = i+1; |
|
992 } |
|
993 |
|
994 for (j = 0; j < nc; j++) |
|
995 { |
|
996 for (int gap = nr/2; gap > 0; gap /= 2) |
|
997 for (i = gap; i < nr; i++) |
|
998 for (int k = i - gap; |
|
999 k >= 0 && m.elem (k, j) > m.elem (k+gap, j); |
|
1000 k -= gap) |
|
1001 { |
|
1002 double tmp = m.elem (k, j); |
|
1003 m.elem (k, j) = m.elem (k+gap, j); |
|
1004 m.elem (k+gap, j) = tmp; |
|
1005 |
|
1006 if (return_idx) |
|
1007 { |
|
1008 double tmp = idx.elem (k, j); |
|
1009 idx.elem (k, j) = idx.elem (k+gap, j); |
|
1010 idx.elem (k+gap, j) = tmp; |
|
1011 } |
|
1012 } |
|
1013 } |
|
1014 } |
|
1015 |
|
1016 static void |
|
1017 mx_sort (RowVector& v, RowVector& idx, int return_idx) |
|
1018 { |
|
1019 int n = v.capacity (); |
|
1020 idx.resize (n); |
|
1021 int i; |
|
1022 |
|
1023 if (return_idx) |
|
1024 for (i = 0; i < n; i++) |
|
1025 idx.elem (i) = i+1; |
|
1026 |
|
1027 for (int gap = n/2; gap > 0; gap /= 2) |
|
1028 for (i = gap; i < n; i++) |
|
1029 for (int k = i - gap; |
|
1030 k >= 0 && v.elem (k) > v.elem (k+gap); |
|
1031 k -= gap) |
|
1032 { |
|
1033 double tmp = v.elem (k); |
|
1034 v.elem (k) = v.elem (k+gap); |
|
1035 v.elem (k+gap) = tmp; |
|
1036 |
|
1037 if (return_idx) |
|
1038 { |
|
1039 double tmp = idx.elem (k); |
|
1040 idx.elem (k) = idx.elem (k+gap); |
|
1041 idx.elem (k+gap) = tmp; |
|
1042 } |
|
1043 } |
|
1044 } |
|
1045 |
|
1046 static void |
|
1047 mx_sort (ComplexMatrix& cm, Matrix& idx, int return_idx) |
|
1048 { |
|
1049 int nr = cm.rows (); |
|
1050 int nc = cm.columns (); |
|
1051 idx.resize (nr, nc); |
|
1052 int i, j; |
|
1053 |
|
1054 if (return_idx) |
|
1055 { |
|
1056 for (j = 0; j < nc; j++) |
|
1057 for (i = 0; i < nr; i++) |
|
1058 idx.elem (i, j) = i+1; |
|
1059 } |
|
1060 |
|
1061 for (j = 0; j < nc; j++) |
|
1062 { |
|
1063 for (int gap = nr/2; gap > 0; gap /= 2) |
|
1064 for (i = gap; i < nr; i++) |
|
1065 for (int k = i - gap; |
|
1066 k >= 0 && abs (cm.elem (k, j)) > abs (cm.elem (k+gap, j)); |
|
1067 k -= gap) |
|
1068 { |
|
1069 Complex ctmp = cm.elem (k, j); |
|
1070 cm.elem (k, j) = cm.elem (k+gap, j); |
|
1071 cm.elem (k+gap, j) = ctmp; |
|
1072 |
|
1073 if (return_idx) |
|
1074 { |
|
1075 double tmp = idx.elem (k, j); |
|
1076 idx.elem (k, j) = idx.elem (k+gap, j); |
|
1077 idx.elem (k+gap, j) = tmp; |
|
1078 } |
|
1079 } |
|
1080 } |
|
1081 } |
|
1082 |
|
1083 static void |
|
1084 mx_sort (ComplexRowVector& cv, RowVector& idx, int return_idx) |
|
1085 { |
|
1086 int n = cv.capacity (); |
|
1087 idx.resize (n); |
|
1088 int i; |
|
1089 |
|
1090 if (return_idx) |
|
1091 for (i = 0; i < n; i++) |
|
1092 idx.elem (i) = i+1; |
|
1093 |
|
1094 for (int gap = n/2; gap > 0; gap /= 2) |
|
1095 for (i = gap; i < n; i++) |
|
1096 for (int k = i - gap; |
|
1097 k >= 0 && abs (cv.elem (k)) > abs (cv.elem (k+gap)); |
|
1098 k -= gap) |
|
1099 { |
|
1100 Complex tmp = cv.elem (k); |
|
1101 cv.elem (k) = cv.elem (k+gap); |
|
1102 cv.elem (k+gap) = tmp; |
|
1103 |
|
1104 if (return_idx) |
|
1105 { |
|
1106 double tmp = idx.elem (k); |
|
1107 idx.elem (k) = idx.elem (k+gap); |
|
1108 idx.elem (k+gap) = tmp; |
|
1109 } |
|
1110 } |
|
1111 } |
|
1112 |
|
1113 tree_constant * |
164
|
1114 sort (const tree_constant *args, int nargin, int nargout) |
1
|
1115 { |
|
1116 // Assumes that we have been given the correct number of arguments. |
|
1117 |
|
1118 tree_constant *retval = NULL_TREE_CONST; |
|
1119 |
|
1120 int return_idx = nargout > 1; |
|
1121 if (return_idx) |
|
1122 retval = new tree_constant [3]; |
|
1123 else |
|
1124 retval = new tree_constant [2]; |
|
1125 |
|
1126 switch (args[1].const_type ()) |
|
1127 { |
|
1128 case tree_constant_rep::scalar_constant: |
|
1129 { |
|
1130 retval [0] = tree_constant (args[1].double_value ()); |
|
1131 if (return_idx) |
|
1132 retval [1] = tree_constant (1.0); |
|
1133 } |
|
1134 break; |
|
1135 case tree_constant_rep::complex_scalar_constant: |
|
1136 { |
|
1137 retval [0] = tree_constant (args[1].complex_value ()); |
|
1138 if (return_idx) |
|
1139 retval [1] = tree_constant (1.0); |
|
1140 } |
|
1141 break; |
|
1142 case tree_constant_rep::string_constant: |
|
1143 case tree_constant_rep::range_constant: |
|
1144 case tree_constant_rep::matrix_constant: |
|
1145 { |
|
1146 Matrix m = args[1].to_matrix (); |
|
1147 if (m.rows () == 1) |
|
1148 { |
|
1149 int nc = m.columns (); |
|
1150 RowVector v (nc); |
|
1151 for (int i = 0; i < nc; i++) |
|
1152 v.elem (i) = m.elem (0, i); |
|
1153 RowVector idx; |
|
1154 mx_sort (v, idx, return_idx); |
|
1155 |
|
1156 retval [0] = tree_constant (v, 0); |
|
1157 if (return_idx) |
|
1158 retval [1] = tree_constant (idx, 0); |
|
1159 } |
|
1160 else |
|
1161 { |
|
1162 // Sorts m in place, optionally computes index Matrix. |
|
1163 Matrix idx; |
|
1164 mx_sort (m, idx, return_idx); |
|
1165 |
|
1166 retval [0] = tree_constant (m); |
|
1167 if (return_idx) |
|
1168 retval [1] = tree_constant (idx); |
|
1169 } |
|
1170 } |
|
1171 break; |
|
1172 case tree_constant_rep::complex_matrix_constant: |
|
1173 { |
|
1174 ComplexMatrix cm = args[1].complex_matrix_value (); |
|
1175 if (cm.rows () == 1) |
|
1176 { |
|
1177 int nc = cm.columns (); |
|
1178 ComplexRowVector cv (nc); |
|
1179 for (int i = 0; i < nc; i++) |
|
1180 cv.elem (i) = cm.elem (0, i); |
|
1181 RowVector idx; |
|
1182 mx_sort (cv, idx, return_idx); |
|
1183 |
|
1184 retval [0] = tree_constant (cv, 0); |
|
1185 if (return_idx) |
|
1186 retval [1] = tree_constant (idx, 0); |
|
1187 } |
|
1188 else |
|
1189 { |
|
1190 // Sorts cm in place, optionally computes index Matrix. |
|
1191 Matrix idx; |
|
1192 mx_sort (cm, idx, return_idx); |
|
1193 |
|
1194 retval [0] = tree_constant (cm); |
|
1195 if (return_idx) |
|
1196 retval [1] = tree_constant (idx); |
|
1197 } |
|
1198 } |
|
1199 break; |
|
1200 default: |
|
1201 panic_impossible (); |
|
1202 break; |
|
1203 } |
|
1204 |
|
1205 return retval; |
|
1206 } |
|
1207 |
|
1208 tree_constant * |
164
|
1209 feval (const tree_constant *args, int nargin, int nargout) |
1
|
1210 { |
|
1211 // Assumes that we have been given the correct number of arguments. |
|
1212 |
|
1213 tree_constant *retval = NULL_TREE_CONST; |
|
1214 |
|
1215 tree *fcn = is_valid_function (args[1], "feval", 1); |
|
1216 if (fcn != NULL_TREE) |
|
1217 { |
|
1218 args++; |
|
1219 nargin--; |
|
1220 if (nargin > 1) |
|
1221 retval = fcn->eval (args, nargin, nargout, 0); |
|
1222 else |
|
1223 retval = fcn->eval (0, nargout); |
|
1224 } |
|
1225 |
|
1226 return retval; |
|
1227 } |
|
1228 |
|
1229 tree_constant |
164
|
1230 eval_string (const char *string, int print, int ans_assign, |
1
|
1231 int& parse_status) |
|
1232 { |
|
1233 begin_unwind_frame ("eval_string"); |
|
1234 |
|
1235 unwind_protect_int (get_input_from_eval_string); |
|
1236 unwind_protect_ptr (global_command); |
|
1237 unwind_protect_ptr (current_eval_string); |
|
1238 |
|
1239 get_input_from_eval_string = 1; |
|
1240 current_eval_string = string; |
|
1241 |
|
1242 YY_BUFFER_STATE old_buf = current_buffer (); |
|
1243 YY_BUFFER_STATE new_buf = create_buffer ((FILE *) NULL); |
|
1244 |
|
1245 add_unwind_protect (restore_input_buffer, (void *) old_buf); |
|
1246 add_unwind_protect (delete_input_buffer, (void *) new_buf); |
|
1247 |
|
1248 switch_to_buffer (new_buf); |
|
1249 |
|
1250 unwind_protect_ptr (curr_sym_tab); |
287
|
1251 |
|
1252 reset_parser (); |
1
|
1253 |
|
1254 parse_status = yyparse (); |
|
1255 |
|
1256 // Important to reset the idea of where input is coming from before |
|
1257 // trying to eval the command we just parsed -- it might contain the |
338
|
1258 // name of an function file that still needs to be parsed! |
1
|
1259 |
|
1260 tree *command = global_command; |
|
1261 |
|
1262 run_unwind_frame ("eval_string"); |
|
1263 |
|
1264 tree_constant retval; |
|
1265 |
|
1266 if (parse_status == 0 && command != NULL_TREE) |
|
1267 { |
|
1268 retval = command->eval (print); |
|
1269 delete command; |
|
1270 } |
|
1271 |
|
1272 return retval; |
|
1273 } |
|
1274 |
|
1275 tree_constant |
164
|
1276 eval_string (const tree_constant& arg, int& parse_status) |
1
|
1277 { |
|
1278 if (! arg.is_string_type ()) |
|
1279 { |
|
1280 error ("eval: expecting string argument"); |
|
1281 return -1; |
|
1282 } |
|
1283 |
|
1284 char *string = arg.string_value (); |
|
1285 |
|
1286 // Yes Virginia, we always print here... |
|
1287 |
|
1288 return eval_string (string, 1, 1, parse_status); |
|
1289 } |
|
1290 |
|
1291 static int |
164
|
1292 match_sans_spaces (const char *standard, const char *test) |
1
|
1293 { |
164
|
1294 const char *tp = test; |
1
|
1295 while (*tp == ' ' || *tp == '\t') |
|
1296 tp++; |
|
1297 |
164
|
1298 const char *ep = test + strlen (test) - 1; |
1
|
1299 while (*ep == ' ' || *ep == '\t') |
|
1300 ep--; |
|
1301 |
|
1302 int len = ep - tp + 1; |
|
1303 |
|
1304 return (strncmp (standard, tp, len) == 0); |
|
1305 } |
|
1306 |
|
1307 tree_constant |
164
|
1308 get_user_input (const tree_constant *args, int nargin, int nargout, |
|
1309 int debug = 0) |
1
|
1310 { |
|
1311 tree_constant retval; |
|
1312 |
|
1313 int read_as_string = 0; |
|
1314 if (nargin == 3) |
|
1315 { |
|
1316 if (args[2].is_string_type () |
|
1317 && strcmp ("s", args[2].string_value ()) == 0) |
|
1318 read_as_string++; |
|
1319 else |
|
1320 { |
|
1321 error ("input: unrecognized second argument"); |
|
1322 return retval; |
|
1323 } |
|
1324 } |
|
1325 |
|
1326 char *prompt = "debug> "; |
|
1327 if (nargin > 1) |
|
1328 { |
|
1329 if (args[1].is_string_type ()) |
|
1330 prompt = args[1].string_value (); |
|
1331 else |
|
1332 { |
|
1333 error ("input: unrecognized argument"); |
|
1334 return retval; |
|
1335 } |
|
1336 } |
|
1337 |
|
1338 again: |
|
1339 |
|
1340 flush_output_to_pager (); |
|
1341 |
|
1342 char *input_buf = gnu_readline (prompt); |
|
1343 |
|
1344 if (input_buf != (char *) NULL) |
|
1345 { |
|
1346 if (input_buf) |
|
1347 maybe_save_history (input_buf); |
|
1348 |
|
1349 int len = strlen (input_buf); |
|
1350 |
|
1351 if (len < 1) |
|
1352 { |
|
1353 if (debug) |
|
1354 goto again; |
|
1355 else |
|
1356 return retval; |
|
1357 } |
|
1358 |
|
1359 if (match_sans_spaces ("exit", input_buf) |
|
1360 || match_sans_spaces ("quit", input_buf) |
|
1361 || match_sans_spaces ("return", input_buf)) |
|
1362 return tree_constant (); |
|
1363 else if (read_as_string) |
|
1364 retval = tree_constant (input_buf); |
|
1365 else |
|
1366 { |
|
1367 int parse_status; |
|
1368 retval = eval_string (input_buf, 0, 0, parse_status); |
|
1369 if (debug && retval.is_defined ()) |
|
1370 retval.eval (1); |
|
1371 } |
|
1372 } |
|
1373 else |
|
1374 error ("input: reading user-input failed!"); |
|
1375 |
|
1376 if (debug) |
|
1377 goto again; |
|
1378 |
|
1379 return retval; |
|
1380 } |
|
1381 |
|
1382 /* |
|
1383 ;;; Local Variables: *** |
|
1384 ;;; mode: C++ *** |
|
1385 ;;; page-delimiter: "^/\\*" *** |
|
1386 ;;; End: *** |
|
1387 */ |