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1993
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1 // DiagMatrix manipulations. |
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458
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2 /* |
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3 |
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4 Copyright (C) 1996, 1997 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, 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. |
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21 |
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22 */ |
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23 |
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4192
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24 #if defined (__GNUG__) && defined (USE_PRAGMA_INTERFACE_IMPLEMENTATION) |
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25 #pragma implementation |
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26 #endif |
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27 |
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28 #ifdef HAVE_CONFIG_H |
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29 #include <config.h> |
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30 #endif |
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31 |
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3503
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32 #include <iostream> |
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33 |
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1368
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34 #include "lo-error.h" |
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458
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35 #include "mx-base.h" |
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36 #include "mx-inlines.cc" |
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37 #include "oct-cmplx.h" |
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38 |
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1360
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39 // Complex Diagonal Matrix class |
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458
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40 |
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41 ComplexDiagMatrix::ComplexDiagMatrix (const DiagMatrix& a) |
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42 : MDiagArray2<Complex> (a.rows (), a.cols ()) |
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458
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43 { |
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44 for (int i = 0; i < length (); i++) |
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45 elem (i, i) = a.elem (i, i); |
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46 } |
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47 |
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2386
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48 bool |
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49 ComplexDiagMatrix::operator == (const ComplexDiagMatrix& a) const |
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50 { |
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51 if (rows () != a.rows () || cols () != a.cols ()) |
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52 return 0; |
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53 |
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3769
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54 return mx_inline_equal (data (), a.data (), length ()); |
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55 } |
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56 |
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57 bool |
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458
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58 ComplexDiagMatrix::operator != (const ComplexDiagMatrix& a) const |
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59 { |
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60 return !(*this == a); |
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61 } |
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62 |
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63 ComplexDiagMatrix& |
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64 ComplexDiagMatrix::fill (double val) |
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65 { |
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66 for (int i = 0; i < length (); i++) |
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67 elem (i, i) = val; |
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68 return *this; |
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69 } |
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70 |
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71 ComplexDiagMatrix& |
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72 ComplexDiagMatrix::fill (const Complex& val) |
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73 { |
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74 for (int i = 0; i < length (); i++) |
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75 elem (i, i) = val; |
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76 return *this; |
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77 } |
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78 |
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79 ComplexDiagMatrix& |
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80 ComplexDiagMatrix::fill (double val, int beg, int end) |
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81 { |
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82 if (beg < 0 || end >= length () || end < beg) |
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83 { |
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84 (*current_liboctave_error_handler) ("range error for fill"); |
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85 return *this; |
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86 } |
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87 |
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88 for (int i = beg; i <= end; i++) |
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89 elem (i, i) = val; |
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90 |
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91 return *this; |
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92 } |
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93 |
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94 ComplexDiagMatrix& |
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95 ComplexDiagMatrix::fill (const Complex& val, int beg, int end) |
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96 { |
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97 if (beg < 0 || end >= length () || end < beg) |
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98 { |
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99 (*current_liboctave_error_handler) ("range error for fill"); |
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100 return *this; |
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101 } |
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102 |
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103 for (int i = beg; i <= end; i++) |
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104 elem (i, i) = val; |
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105 |
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106 return *this; |
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107 } |
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108 |
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109 ComplexDiagMatrix& |
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110 ComplexDiagMatrix::fill (const ColumnVector& a) |
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111 { |
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112 int len = length (); |
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113 if (a.length () != len) |
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114 { |
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115 (*current_liboctave_error_handler) ("range error for fill"); |
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116 return *this; |
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117 } |
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118 |
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119 for (int i = 0; i < len; i++) |
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120 elem (i, i) = a.elem (i); |
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121 |
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122 return *this; |
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123 } |
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124 |
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125 ComplexDiagMatrix& |
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126 ComplexDiagMatrix::fill (const ComplexColumnVector& a) |
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127 { |
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128 int len = length (); |
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129 if (a.length () != len) |
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130 { |
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131 (*current_liboctave_error_handler) ("range error for fill"); |
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132 return *this; |
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133 } |
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134 |
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135 for (int i = 0; i < len; i++) |
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136 elem (i, i) = a.elem (i); |
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137 |
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138 return *this; |
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139 } |
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140 |
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141 ComplexDiagMatrix& |
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142 ComplexDiagMatrix::fill (const RowVector& a) |
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143 { |
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144 int len = length (); |
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145 if (a.length () != len) |
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146 { |
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147 (*current_liboctave_error_handler) ("range error for fill"); |
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148 return *this; |
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149 } |
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150 |
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151 for (int i = 0; i < len; i++) |
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152 elem (i, i) = a.elem (i); |
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153 |
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154 return *this; |
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155 } |
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156 |
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157 ComplexDiagMatrix& |
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158 ComplexDiagMatrix::fill (const ComplexRowVector& a) |
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159 { |
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160 int len = length (); |
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161 if (a.length () != len) |
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162 { |
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163 (*current_liboctave_error_handler) ("range error for fill"); |
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164 return *this; |
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165 } |
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166 |
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167 for (int i = 0; i < len; i++) |
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168 elem (i, i) = a.elem (i); |
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169 |
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170 return *this; |
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171 } |
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172 |
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173 ComplexDiagMatrix& |
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174 ComplexDiagMatrix::fill (const ColumnVector& a, int beg) |
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175 { |
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176 int a_len = a.length (); |
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177 if (beg < 0 || beg + a_len >= length ()) |
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178 { |
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179 (*current_liboctave_error_handler) ("range error for fill"); |
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180 return *this; |
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181 } |
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182 |
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183 for (int i = 0; i < a_len; i++) |
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184 elem (i+beg, i+beg) = a.elem (i); |
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185 |
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186 return *this; |
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187 } |
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188 |
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189 ComplexDiagMatrix& |
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190 ComplexDiagMatrix::fill (const ComplexColumnVector& a, int beg) |
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191 { |
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192 int a_len = a.length (); |
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193 if (beg < 0 || beg + a_len >= length ()) |
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194 { |
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195 (*current_liboctave_error_handler) ("range error for fill"); |
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196 return *this; |
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197 } |
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198 |
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199 for (int i = 0; i < a_len; i++) |
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200 elem (i+beg, i+beg) = a.elem (i); |
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201 |
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202 return *this; |
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203 } |
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204 |
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205 ComplexDiagMatrix& |
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206 ComplexDiagMatrix::fill (const RowVector& a, int beg) |
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207 { |
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208 int a_len = a.length (); |
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209 if (beg < 0 || beg + a_len >= length ()) |
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210 { |
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211 (*current_liboctave_error_handler) ("range error for fill"); |
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212 return *this; |
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213 } |
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214 |
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215 for (int i = 0; i < a_len; i++) |
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216 elem (i+beg, i+beg) = a.elem (i); |
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217 |
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218 return *this; |
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219 } |
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220 |
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221 ComplexDiagMatrix& |
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222 ComplexDiagMatrix::fill (const ComplexRowVector& a, int beg) |
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223 { |
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224 int a_len = a.length (); |
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225 if (beg < 0 || beg + a_len >= length ()) |
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226 { |
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227 (*current_liboctave_error_handler) ("range error for fill"); |
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228 return *this; |
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229 } |
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230 |
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231 for (int i = 0; i < a_len; i++) |
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232 elem (i+beg, i+beg) = a.elem (i); |
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233 |
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234 return *this; |
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235 } |
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236 |
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237 ComplexDiagMatrix |
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238 ComplexDiagMatrix::hermitian (void) const |
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239 { |
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240 return ComplexDiagMatrix (mx_inline_conj_dup (data (), length ()), |
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241 cols (), rows ()); |
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242 } |
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243 |
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244 ComplexDiagMatrix |
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245 ComplexDiagMatrix::transpose (void) const |
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246 { |
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247 return ComplexDiagMatrix (mx_inline_dup (data (), length ()), |
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248 cols (), rows ()); |
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249 } |
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250 |
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251 ComplexDiagMatrix |
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252 conj (const ComplexDiagMatrix& a) |
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253 { |
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254 ComplexDiagMatrix retval; |
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255 int a_len = a.length (); |
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256 if (a_len > 0) |
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257 retval = ComplexDiagMatrix (mx_inline_conj_dup (a.data (), a_len), |
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258 a.rows (), a.cols ()); |
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259 return retval; |
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260 } |
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261 |
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262 // resize is the destructive analog for this one |
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263 |
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264 ComplexMatrix |
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265 ComplexDiagMatrix::extract (int r1, int c1, int r2, int c2) const |
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266 { |
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267 if (r1 > r2) { int tmp = r1; r1 = r2; r2 = tmp; } |
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268 if (c1 > c2) { int tmp = c1; c1 = c2; c2 = tmp; } |
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269 |
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270 int new_r = r2 - r1 + 1; |
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271 int new_c = c2 - c1 + 1; |
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272 |
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273 ComplexMatrix result (new_r, new_c); |
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274 |
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275 for (int j = 0; j < new_c; j++) |
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276 for (int i = 0; i < new_r; i++) |
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277 result.elem (i, j) = elem (r1+i, c1+j); |
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278 |
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279 return result; |
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280 } |
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281 |
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282 // extract row or column i. |
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283 |
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284 ComplexRowVector |
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285 ComplexDiagMatrix::row (int i) const |
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286 { |
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287 int r = rows (); |
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288 int c = cols (); |
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289 if (i < 0 || i >= r) |
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290 { |
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291 (*current_liboctave_error_handler) ("invalid row selection"); |
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292 return ComplexRowVector (); |
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293 } |
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294 |
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295 ComplexRowVector retval (c, 0.0); |
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296 if (r <= c || (r > c && i < c)) |
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297 retval.elem (i) = elem (i, i); |
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298 |
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299 return retval; |
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300 } |
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301 |
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302 ComplexRowVector |
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303 ComplexDiagMatrix::row (char *s) const |
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304 { |
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533
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305 if (! s) |
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306 { |
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307 (*current_liboctave_error_handler) ("invalid row selection"); |
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308 return ComplexRowVector (); |
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309 } |
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310 |
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311 char c = *s; |
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312 if (c == 'f' || c == 'F') |
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313 return row (0); |
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314 else if (c == 'l' || c == 'L') |
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315 return row (rows () - 1); |
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316 else |
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317 { |
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318 (*current_liboctave_error_handler) ("invalid row selection"); |
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319 return ComplexRowVector (); |
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320 } |
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321 } |
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322 |
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323 ComplexColumnVector |
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324 ComplexDiagMatrix::column (int i) const |
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325 { |
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326 int r = rows (); |
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327 int c = cols (); |
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328 if (i < 0 || i >= c) |
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329 { |
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330 (*current_liboctave_error_handler) ("invalid column selection"); |
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331 return ComplexColumnVector (); |
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332 } |
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333 |
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334 ComplexColumnVector retval (r, 0.0); |
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335 if (r >= c || (r < c && i < r)) |
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336 retval.elem (i) = elem (i, i); |
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337 |
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338 return retval; |
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339 } |
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340 |
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341 ComplexColumnVector |
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342 ComplexDiagMatrix::column (char *s) const |
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343 { |
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533
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344 if (! s) |
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345 { |
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346 (*current_liboctave_error_handler) ("invalid column selection"); |
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347 return ComplexColumnVector (); |
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348 } |
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349 |
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350 char c = *s; |
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351 if (c == 'f' || c == 'F') |
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352 return column (0); |
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353 else if (c == 'l' || c == 'L') |
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354 return column (cols () - 1); |
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355 else |
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356 { |
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357 (*current_liboctave_error_handler) ("invalid column selection"); |
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358 return ComplexColumnVector (); |
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458
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359 } |
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360 } |
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361 |
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362 ComplexDiagMatrix |
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363 ComplexDiagMatrix::inverse (void) const |
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364 { |
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365 int info; |
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366 return inverse (info); |
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367 } |
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368 |
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369 ComplexDiagMatrix |
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370 ComplexDiagMatrix::inverse (int& info) const |
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371 { |
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3504
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372 int r = rows (); |
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373 int c = cols (); |
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374 if (r != c) |
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458
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375 { |
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376 (*current_liboctave_error_handler) ("inverse requires square matrix"); |
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377 return ComplexDiagMatrix (); |
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458
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378 } |
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379 |
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380 ComplexDiagMatrix retval (r, c); |
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381 |
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382 info = 0; |
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383 for (int i = 0; i < length (); i++) |
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384 { |
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385 if (elem (i, i) == 0.0) |
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386 { |
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387 info = -1; |
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388 return *this; |
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389 } |
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390 else |
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391 retval.elem (i, i) = 1.0 / elem (i, i); |
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392 } |
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393 |
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1627
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394 return retval; |
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458
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395 } |
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396 |
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397 // diagonal matrix by diagonal matrix -> diagonal matrix operations |
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398 |
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399 ComplexDiagMatrix& |
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400 ComplexDiagMatrix::operator += (const DiagMatrix& a) |
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401 { |
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3504
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402 int r = rows (); |
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403 int c = cols (); |
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2386
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404 |
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405 int a_nr = a.rows (); |
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406 int a_nc = a.cols (); |
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407 |
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3504
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408 if (r != a_nr || c != a_nc) |
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458
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409 { |
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3504
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410 gripe_nonconformant ("operator +=", r, c, a_nr, a_nc); |
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458
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411 return *this; |
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412 } |
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413 |
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3504
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414 if (r == 0 || c == 0) |
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458
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415 return *this; |
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416 |
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417 Complex *d = fortran_vec (); // Ensures only one reference to my privates! |
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418 |
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3769
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419 mx_inline_add2 (d, a.data (), length ()); |
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458
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420 return *this; |
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421 } |
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422 |
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423 ComplexDiagMatrix |
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424 operator * (const ComplexDiagMatrix& a, const DiagMatrix& b) |
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425 { |
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3504
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426 int a_nr = a.rows (); |
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427 int a_nc = a.cols (); |
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2386
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428 |
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3504
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429 int b_nr = b.rows (); |
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430 int b_nc = b.cols (); |
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2386
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431 |
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3504
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432 if (a_nc != b_nr) |
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458
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433 { |
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3504
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434 gripe_nonconformant ("operator *", a_nr, a_nc, b_nr, b_nc); |
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458
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435 return ComplexDiagMatrix (); |
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436 } |
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437 |
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3504
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438 if (a_nr == 0 || a_nc == 0 || b_nc == 0) |
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439 return ComplexDiagMatrix (a_nr, a_nc, 0.0); |
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458
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440 |
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3504
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441 ComplexDiagMatrix c (a_nr, b_nc); |
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458
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442 |
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3504
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443 int len = a_nr < b_nc ? a_nr : b_nc; |
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458
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444 |
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445 for (int i = 0; i < len; i++) |
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446 { |
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447 Complex a_element = a.elem (i, i); |
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448 double b_element = b.elem (i, i); |
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449 |
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450 if (a_element == 0.0 || b_element == 0.0) |
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451 c.elem (i, i) = 0.0; |
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452 else if (a_element == 1.0) |
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453 c.elem (i, i) = b_element; |
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454 else if (b_element == 1.0) |
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455 c.elem (i, i) = a_element; |
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456 else |
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457 c.elem (i, i) = a_element * b_element; |
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458 } |
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459 |
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460 return c; |
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461 } |
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462 |
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463 ComplexDiagMatrix |
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1205
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464 operator * (const DiagMatrix& a, const ComplexDiagMatrix& b) |
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465 { |
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3504
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466 int a_nr = a.rows (); |
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467 int a_nc = a.cols (); |
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2386
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468 |
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3504
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469 int b_nr = b.rows (); |
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470 int b_nc = b.cols (); |
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2386
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471 |
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3504
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472 if (a_nc != b_nr) |
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1205
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473 { |
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3504
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474 gripe_nonconformant ("operator *", a_nr, a_nc, b_nr, b_nc); |
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1205
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475 return ComplexDiagMatrix (); |
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476 } |
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477 |
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3504
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478 if (a_nr == 0 || a_nc == 0 || b_nc == 0) |
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479 return ComplexDiagMatrix (a_nr, a_nc, 0.0); |
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1205
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480 |
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3504
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481 ComplexDiagMatrix c (a_nr, b_nc); |
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1205
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482 |
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3504
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483 int len = a_nr < b_nc ? a_nr : b_nc; |
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1205
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484 |
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485 for (int i = 0; i < len; i++) |
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486 { |
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487 double a_element = a.elem (i, i); |
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488 Complex b_element = b.elem (i, i); |
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489 |
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490 if (a_element == 0.0 || b_element == 0.0) |
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491 c.elem (i, i) = 0.0; |
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492 else if (a_element == 1.0) |
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493 c.elem (i, i) = b_element; |
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494 else if (b_element == 1.0) |
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495 c.elem (i, i) = a_element; |
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496 else |
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497 c.elem (i, i) = a_element * b_element; |
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498 } |
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499 |
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500 return c; |
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501 } |
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502 |
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458
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503 // other operations |
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504 |
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505 ComplexColumnVector |
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506 ComplexDiagMatrix::diag (void) const |
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507 { |
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508 return diag (0); |
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509 } |
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510 |
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511 // Could be optimized... |
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512 |
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513 ComplexColumnVector |
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514 ComplexDiagMatrix::diag (int k) const |
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515 { |
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516 int nnr = rows (); |
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517 int nnc = cols (); |
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518 if (k > 0) |
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519 nnc -= k; |
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520 else if (k < 0) |
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521 nnr += k; |
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522 |
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523 ComplexColumnVector d; |
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524 |
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525 if (nnr > 0 && nnc > 0) |
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526 { |
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527 int ndiag = (nnr < nnc) ? nnr : nnc; |
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528 |
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529 d.resize (ndiag); |
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530 |
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531 if (k > 0) |
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532 { |
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533 for (int i = 0; i < ndiag; i++) |
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534 d.elem (i) = elem (i, i+k); |
|
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535 } |
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536 else if ( k < 0) |
|
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537 { |
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538 for (int i = 0; i < ndiag; i++) |
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539 d.elem (i) = elem (i-k, i); |
|
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540 } |
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541 else |
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542 { |
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543 for (int i = 0; i < ndiag; i++) |
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544 d.elem (i) = elem (i, i); |
|
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545 } |
|
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546 } |
|
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547 else |
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3504
|
548 std::cerr << "diag: requested diagonal out of range\n"; |
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458
|
549 |
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550 return d; |
|
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551 } |
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552 |
|
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553 // i/o |
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554 |
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3504
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555 std::ostream& |
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556 operator << (std::ostream& os, const ComplexDiagMatrix& a) |
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458
|
557 { |
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558 Complex ZERO (0.0); |
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559 // int field_width = os.precision () + 7; |
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560 for (int i = 0; i < a.rows (); i++) |
|
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561 { |
|
|
562 for (int j = 0; j < a.cols (); j++) |
|
|
563 { |
|
|
564 if (i == j) |
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|
565 os << " " /* setw (field_width) */ << a.elem (i, i); |
|
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566 else |
|
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567 os << " " /* setw (field_width) */ << ZERO; |
|
|
568 } |
|
|
569 os << "\n"; |
|
|
570 } |
|
|
571 return os; |
|
|
572 } |
|
|
573 |
|
|
574 /* |
|
|
575 ;;; Local Variables: *** |
|
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576 ;;; mode: C++ *** |
|
|
577 ;;; End: *** |
|
|
578 */ |
