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1 // DiagMatrix manipulations. -*- C++ -*- |
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2 /* |
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3 |
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4 Copyright (C) 1996 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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24 #if defined (__GNUG__) |
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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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32 #include <iostream.h> |
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33 |
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34 #include "lo-error.h" |
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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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39 // Complex Diagonal Matrix class |
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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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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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48 int |
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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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54 return equal (data (), a.data (), length ()); |
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55 } |
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56 |
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57 int |
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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 (conj_dup (data (), length ()), cols (), rows ()); |
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241 } |
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242 |
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243 ComplexDiagMatrix |
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244 ComplexDiagMatrix::transpose (void) const |
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245 { |
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246 return ComplexDiagMatrix (dup (data (), length ()), cols (), rows ()); |
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247 } |
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248 |
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249 ComplexDiagMatrix |
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250 conj (const ComplexDiagMatrix& a) |
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251 { |
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252 ComplexDiagMatrix retval; |
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253 int a_len = a.length (); |
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254 if (a_len > 0) |
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255 retval = ComplexDiagMatrix (conj_dup (a.data (), a_len), |
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256 a.rows (), a.cols ()); |
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257 return retval; |
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258 } |
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259 |
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260 // resize is the destructive analog for this one |
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261 |
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262 ComplexMatrix |
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263 ComplexDiagMatrix::extract (int r1, int c1, int r2, int c2) const |
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264 { |
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265 if (r1 > r2) { int tmp = r1; r1 = r2; r2 = tmp; } |
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266 if (c1 > c2) { int tmp = c1; c1 = c2; c2 = tmp; } |
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267 |
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268 int new_r = r2 - r1 + 1; |
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269 int new_c = c2 - c1 + 1; |
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270 |
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271 ComplexMatrix result (new_r, new_c); |
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272 |
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273 for (int j = 0; j < new_c; j++) |
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274 for (int i = 0; i < new_r; i++) |
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275 result.elem (i, j) = elem (r1+i, c1+j); |
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276 |
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277 return result; |
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278 } |
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279 |
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280 // extract row or column i. |
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281 |
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282 ComplexRowVector |
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283 ComplexDiagMatrix::row (int i) const |
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284 { |
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285 int nr = rows (); |
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286 int nc = cols (); |
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287 if (i < 0 || i >= nr) |
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288 { |
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289 (*current_liboctave_error_handler) ("invalid row selection"); |
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290 return RowVector (); |
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291 } |
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292 |
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293 ComplexRowVector retval (nc, 0.0); |
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294 if (nr <= nc || (nr > nc && i < nc)) |
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295 retval.elem (i) = elem (i, i); |
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296 |
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297 return retval; |
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298 } |
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299 |
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300 ComplexRowVector |
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301 ComplexDiagMatrix::row (char *s) const |
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302 { |
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303 if (! s) |
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304 { |
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305 (*current_liboctave_error_handler) ("invalid row selection"); |
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306 return ComplexRowVector (); |
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307 } |
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308 |
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309 char c = *s; |
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310 if (c == 'f' || c == 'F') |
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311 return row (0); |
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312 else if (c == 'l' || c == 'L') |
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313 return row (rows () - 1); |
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314 else |
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315 { |
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316 (*current_liboctave_error_handler) ("invalid row selection"); |
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317 return ComplexRowVector (); |
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318 } |
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319 } |
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320 |
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321 ComplexColumnVector |
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322 ComplexDiagMatrix::column (int i) const |
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323 { |
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324 int nr = rows (); |
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325 int nc = cols (); |
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326 if (i < 0 || i >= nc) |
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327 { |
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328 (*current_liboctave_error_handler) ("invalid column selection"); |
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329 return ColumnVector (); |
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330 } |
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331 |
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332 ComplexColumnVector retval (nr, 0.0); |
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333 if (nr >= nc || (nr < nc && i < nr)) |
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334 retval.elem (i) = elem (i, i); |
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335 |
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336 return retval; |
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337 } |
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338 |
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339 ComplexColumnVector |
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340 ComplexDiagMatrix::column (char *s) const |
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341 { |
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342 if (! s) |
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343 { |
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344 (*current_liboctave_error_handler) ("invalid column selection"); |
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345 return ColumnVector (); |
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346 } |
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347 |
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348 char c = *s; |
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349 if (c == 'f' || c == 'F') |
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350 return column (0); |
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351 else if (c == 'l' || c == 'L') |
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352 return column (cols () - 1); |
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353 else |
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354 { |
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355 (*current_liboctave_error_handler) ("invalid column selection"); |
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356 return ColumnVector (); |
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357 } |
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358 } |
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359 |
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360 ComplexDiagMatrix |
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361 ComplexDiagMatrix::inverse (void) const |
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362 { |
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363 int info; |
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364 return inverse (info); |
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365 } |
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366 |
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367 ComplexDiagMatrix |
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368 ComplexDiagMatrix::inverse (int& info) const |
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369 { |
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370 int nr = rows (); |
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371 int nc = cols (); |
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372 if (nr != nc) |
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373 { |
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374 (*current_liboctave_error_handler) ("inverse requires square matrix"); |
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375 return DiagMatrix (); |
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376 } |
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377 |
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378 ComplexDiagMatrix retval (nr, nc); |
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379 |
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380 info = 0; |
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381 for (int i = 0; i < length (); i++) |
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382 { |
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383 if (elem (i, i) == 0.0) |
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384 { |
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385 info = -1; |
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386 return *this; |
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387 } |
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388 else |
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389 retval.elem (i, i) = 1.0 / elem (i, i); |
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390 } |
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391 |
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392 return retval; |
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393 } |
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394 |
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395 // diagonal matrix by diagonal matrix -> diagonal matrix operations |
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396 |
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397 ComplexDiagMatrix& |
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398 ComplexDiagMatrix::operator += (const DiagMatrix& a) |
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399 { |
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400 int nr = rows (); |
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401 int nc = cols (); |
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402 if (nr != a.rows () || nc != a.cols ()) |
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403 { |
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404 (*current_liboctave_error_handler) |
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405 ("nonconformant matrix += operation attempted"); |
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406 return *this; |
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407 } |
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408 |
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409 if (nr == 0 || nc == 0) |
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410 return *this; |
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411 |
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412 Complex *d = fortran_vec (); // Ensures only one reference to my privates! |
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413 |
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414 add2 (d, a.data (), length ()); |
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415 return *this; |
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416 } |
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417 |
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418 ComplexDiagMatrix& |
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419 ComplexDiagMatrix::operator -= (const DiagMatrix& a) |
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420 { |
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421 int nr = rows (); |
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422 int nc = cols (); |
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423 if (nr != a.rows () || nc != a.cols ()) |
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424 { |
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425 (*current_liboctave_error_handler) |
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426 ("nonconformant matrix -= operation attempted"); |
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427 return *this; |
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428 } |
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429 |
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430 if (nr == 0 || nc == 0) |
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431 return *this; |
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432 |
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433 Complex *d = fortran_vec (); // Ensures only one reference to my privates! |
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434 |
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435 subtract2 (d, a.data (), length ()); |
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436 return *this; |
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437 } |
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438 |
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439 ComplexDiagMatrix& |
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440 ComplexDiagMatrix::operator += (const ComplexDiagMatrix& a) |
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441 { |
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442 int nr = rows (); |
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443 int nc = cols (); |
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444 if (nr != a.rows () || nc != a.cols ()) |
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445 { |
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446 (*current_liboctave_error_handler) |
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447 ("nonconformant matrix += operation attempted"); |
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448 return *this; |
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449 } |
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450 |
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451 if (nr == 0 || nc == 0) |
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452 return *this; |
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453 |
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454 Complex *d = fortran_vec (); // Ensures only one reference to my privates! |
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455 |
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456 add2 (d, a.data (), length ()); |
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457 return *this; |
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458 } |
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459 |
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460 ComplexDiagMatrix& |
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461 ComplexDiagMatrix::operator -= (const ComplexDiagMatrix& a) |
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462 { |
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463 int nr = rows (); |
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464 int nc = cols (); |
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465 if (nr != a.rows () || nc != a.cols ()) |
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466 { |
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467 (*current_liboctave_error_handler) |
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468 ("nonconformant matrix -= operation attempted"); |
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469 return *this; |
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470 } |
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471 |
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472 if (nr == 0 || nc == 0) |
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473 return *this; |
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474 |
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475 Complex *d = fortran_vec (); // Ensures only one reference to my privates! |
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476 |
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477 subtract2 (d, a.data (), length ()); |
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478 return *this; |
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479 } |
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480 |
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481 // diagonal matrix by scalar -> diagonal matrix operations |
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482 |
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483 ComplexDiagMatrix |
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484 operator * (const ComplexDiagMatrix& a, double s) |
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485 { |
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486 return ComplexDiagMatrix (multiply (a.data (), a.length (), s), |
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487 a.rows (), a.cols ()); |
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488 } |
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489 |
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490 ComplexDiagMatrix |
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491 operator / (const ComplexDiagMatrix& a, double s) |
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492 { |
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493 return ComplexDiagMatrix (divide (a.data (), a.length (), s), |
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494 a.rows (), a.cols ()); |
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495 } |
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496 |
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1205
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497 ComplexDiagMatrix |
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498 operator * (const DiagMatrix& a, const Complex& s) |
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458
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499 { |
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1205
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500 return ComplexDiagMatrix (multiply (a.data (), a.length (), s), |
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501 a.rows (), a.cols ()); |
|
458
|
502 } |
|
|
503 |
|
1205
|
504 ComplexDiagMatrix |
|
|
505 operator / (const DiagMatrix& a, const Complex& s) |
|
458
|
506 { |
|
1205
|
507 return ComplexDiagMatrix (divide (a.data (), a.length (), s), |
|
|
508 a.rows (), a.cols ()); |
|
458
|
509 } |
|
|
510 |
|
|
511 // scalar by diagonal matrix -> diagonal matrix operations |
|
|
512 |
|
|
513 ComplexDiagMatrix |
|
|
514 operator * (double s, const ComplexDiagMatrix& a) |
|
|
515 { |
|
|
516 return ComplexDiagMatrix (multiply (a.data (), a.length (), s), |
|
|
517 a.rows (), a.cols ()); |
|
|
518 } |
|
|
519 |
|
1205
|
520 ComplexDiagMatrix |
|
|
521 operator * (const Complex& s, const DiagMatrix& a) |
|
458
|
522 { |
|
1205
|
523 return ComplexDiagMatrix (multiply (a.data (), a.length (), s), |
|
|
524 a.rows (), a.cols ()); |
|
458
|
525 } |
|
|
526 |
|
|
527 // diagonal matrix by diagonal matrix -> diagonal matrix operations |
|
|
528 |
|
|
529 ComplexDiagMatrix |
|
|
530 operator * (const ComplexDiagMatrix& a, const ComplexDiagMatrix& b) |
|
|
531 { |
|
|
532 int nr_a = a.rows (); |
|
|
533 int nc_a = a.cols (); |
|
|
534 int nr_b = b.rows (); |
|
|
535 int nc_b = b.cols (); |
|
|
536 if (nc_a != nr_b) |
|
|
537 { |
|
|
538 (*current_liboctave_error_handler) |
|
|
539 ("nonconformant matrix multiplication attempted"); |
|
|
540 return ComplexDiagMatrix (); |
|
|
541 } |
|
|
542 |
|
|
543 if (nr_a == 0 || nc_a == 0 || nc_b == 0) |
|
|
544 return ComplexDiagMatrix (nr_a, nc_a, 0.0); |
|
|
545 |
|
|
546 ComplexDiagMatrix c (nr_a, nc_b); |
|
|
547 |
|
|
548 int len = nr_a < nc_b ? nr_a : nc_b; |
|
|
549 |
|
|
550 for (int i = 0; i < len; i++) |
|
|
551 { |
|
|
552 Complex a_element = a.elem (i, i); |
|
|
553 Complex b_element = b.elem (i, i); |
|
|
554 |
|
|
555 if (a_element == 0.0 || b_element == 0.0) |
|
|
556 c.elem (i, i) = 0.0; |
|
|
557 else if (a_element == 1.0) |
|
|
558 c.elem (i, i) = b_element; |
|
|
559 else if (b_element == 1.0) |
|
|
560 c.elem (i, i) = a_element; |
|
|
561 else |
|
|
562 c.elem (i, i) = a_element * b_element; |
|
|
563 } |
|
|
564 |
|
|
565 return c; |
|
|
566 } |
|
|
567 |
|
|
568 ComplexDiagMatrix |
|
|
569 operator + (const ComplexDiagMatrix& m, const DiagMatrix& a) |
|
|
570 { |
|
|
571 int nr = m.rows (); |
|
|
572 int nc = m.cols (); |
|
|
573 if (nr != a.rows () || nc != a.cols ()) |
|
|
574 { |
|
|
575 (*current_liboctave_error_handler) |
|
|
576 ("nonconformant matrix addition attempted"); |
|
|
577 return ComplexDiagMatrix (); |
|
|
578 } |
|
|
579 |
|
|
580 if (nr == 0 || nc == 0) |
|
|
581 return ComplexDiagMatrix (nr, nc); |
|
|
582 |
|
|
583 return ComplexDiagMatrix (add (m.data (), a.data (), m.length ()), nr, nc); |
|
|
584 } |
|
|
585 |
|
|
586 ComplexDiagMatrix |
|
|
587 operator - (const ComplexDiagMatrix& m, const DiagMatrix& a) |
|
|
588 { |
|
|
589 int nr = m.rows (); |
|
|
590 int nc = m.cols (); |
|
|
591 if (nr != a.rows () || nc != a.cols ()) |
|
|
592 { |
|
|
593 (*current_liboctave_error_handler) |
|
|
594 ("nonconformant matrix subtraction attempted"); |
|
|
595 return ComplexDiagMatrix (); |
|
|
596 } |
|
|
597 |
|
|
598 if (nr == 0 || nc == 0) |
|
|
599 return ComplexDiagMatrix (nr, nc); |
|
|
600 |
|
|
601 return ComplexDiagMatrix (subtract (m.data (), a.data (), m.length ()), |
|
|
602 nr, nc); |
|
|
603 } |
|
|
604 |
|
|
605 ComplexDiagMatrix |
|
|
606 operator * (const ComplexDiagMatrix& a, const DiagMatrix& b) |
|
|
607 { |
|
|
608 int nr_a = a.rows (); |
|
|
609 int nc_a = a.cols (); |
|
|
610 int nr_b = b.rows (); |
|
|
611 int nc_b = b.cols (); |
|
|
612 if (nc_a != nr_b) |
|
|
613 { |
|
|
614 (*current_liboctave_error_handler) |
|
|
615 ("nonconformant matrix multiplication attempted"); |
|
|
616 return ComplexDiagMatrix (); |
|
|
617 } |
|
|
618 |
|
|
619 if (nr_a == 0 || nc_a == 0 || nc_b == 0) |
|
|
620 return ComplexDiagMatrix (nr_a, nc_a, 0.0); |
|
|
621 |
|
|
622 ComplexDiagMatrix c (nr_a, nc_b); |
|
|
623 |
|
|
624 int len = nr_a < nc_b ? nr_a : nc_b; |
|
|
625 |
|
|
626 for (int i = 0; i < len; i++) |
|
|
627 { |
|
|
628 Complex a_element = a.elem (i, i); |
|
|
629 double b_element = b.elem (i, i); |
|
|
630 |
|
|
631 if (a_element == 0.0 || b_element == 0.0) |
|
|
632 c.elem (i, i) = 0.0; |
|
|
633 else if (a_element == 1.0) |
|
|
634 c.elem (i, i) = b_element; |
|
|
635 else if (b_element == 1.0) |
|
|
636 c.elem (i, i) = a_element; |
|
|
637 else |
|
|
638 c.elem (i, i) = a_element * b_element; |
|
|
639 } |
|
|
640 |
|
|
641 return c; |
|
|
642 } |
|
|
643 |
|
|
644 ComplexDiagMatrix |
|
1205
|
645 operator + (const DiagMatrix& m, const ComplexDiagMatrix& a) |
|
|
646 { |
|
|
647 int nr = m.rows (); |
|
|
648 int nc = m.cols (); |
|
|
649 if (nr != a.rows () || nc != a.cols ()) |
|
|
650 { |
|
|
651 (*current_liboctave_error_handler) |
|
|
652 ("nonconformant matrix addition attempted"); |
|
|
653 return ComplexDiagMatrix (); |
|
|
654 } |
|
|
655 |
|
|
656 if (nc == 0 || nr == 0) |
|
|
657 return ComplexDiagMatrix (nr, nc); |
|
|
658 |
|
|
659 return ComplexDiagMatrix (add (m.data (), a.data (), m.length ()), nr, nc); |
|
|
660 } |
|
|
661 |
|
|
662 ComplexDiagMatrix |
|
|
663 operator - (const DiagMatrix& m, const ComplexDiagMatrix& a) |
|
|
664 { |
|
|
665 int nr = m.rows (); |
|
|
666 int nc = m.cols (); |
|
|
667 if (nr != a.rows () || nc != a.cols ()) |
|
|
668 { |
|
|
669 (*current_liboctave_error_handler) |
|
|
670 ("nonconformant matrix subtraction attempted"); |
|
|
671 return ComplexDiagMatrix (); |
|
|
672 } |
|
|
673 |
|
|
674 if (nc == 0 || nr == 0) |
|
|
675 return ComplexDiagMatrix (nr, nc); |
|
|
676 |
|
|
677 return ComplexDiagMatrix (subtract (m.data (), a.data (), m.length ()), |
|
|
678 nr, nc); |
|
|
679 } |
|
|
680 |
|
|
681 ComplexDiagMatrix |
|
|
682 operator * (const DiagMatrix& a, const ComplexDiagMatrix& b) |
|
|
683 { |
|
|
684 int nr_a = a.rows (); |
|
|
685 int nc_a = a.cols (); |
|
|
686 int nr_b = b.rows (); |
|
|
687 int nc_b = b.cols (); |
|
|
688 if (nc_a != nr_b) |
|
|
689 { |
|
|
690 (*current_liboctave_error_handler) |
|
|
691 ("nonconformant matrix multiplication attempted"); |
|
|
692 return ComplexDiagMatrix (); |
|
|
693 } |
|
|
694 |
|
|
695 if (nr_a == 0 || nc_a == 0 || nc_b == 0) |
|
|
696 return ComplexDiagMatrix (nr_a, nc_a, 0.0); |
|
|
697 |
|
|
698 ComplexDiagMatrix c (nr_a, nc_b); |
|
|
699 |
|
|
700 int len = nr_a < nc_b ? nr_a : nc_b; |
|
|
701 |
|
|
702 for (int i = 0; i < len; i++) |
|
|
703 { |
|
|
704 double a_element = a.elem (i, i); |
|
|
705 Complex b_element = b.elem (i, i); |
|
|
706 |
|
|
707 if (a_element == 0.0 || b_element == 0.0) |
|
|
708 c.elem (i, i) = 0.0; |
|
|
709 else if (a_element == 1.0) |
|
|
710 c.elem (i, i) = b_element; |
|
|
711 else if (b_element == 1.0) |
|
|
712 c.elem (i, i) = a_element; |
|
|
713 else |
|
|
714 c.elem (i, i) = a_element * b_element; |
|
|
715 } |
|
|
716 |
|
|
717 return c; |
|
|
718 } |
|
|
719 |
|
|
720 ComplexDiagMatrix |
|
458
|
721 product (const ComplexDiagMatrix& m, const DiagMatrix& a) |
|
|
722 { |
|
|
723 int nr = m.rows (); |
|
|
724 int nc = m.cols (); |
|
|
725 if (nr != a.rows () || nc != a.cols ()) |
|
|
726 { |
|
|
727 (*current_liboctave_error_handler) |
|
|
728 ("nonconformant matrix product attempted"); |
|
|
729 return ComplexDiagMatrix (); |
|
|
730 } |
|
|
731 |
|
|
732 if (nr == 0 || nc == 0) |
|
|
733 return ComplexDiagMatrix (nr, nc); |
|
|
734 |
|
|
735 return ComplexDiagMatrix (multiply (m.data (), a.data (), m.length ()), |
|
|
736 nr, nc); |
|
|
737 } |
|
|
738 |
|
1205
|
739 ComplexDiagMatrix |
|
|
740 product (const DiagMatrix& m, const ComplexDiagMatrix& a) |
|
458
|
741 { |
|
|
742 int nr = m.rows (); |
|
|
743 int nc = m.cols (); |
|
|
744 if (nr != a.rows () || nc != a.cols ()) |
|
|
745 { |
|
|
746 (*current_liboctave_error_handler) |
|
1205
|
747 ("nonconformant matrix product attempted"); |
|
|
748 return ComplexDiagMatrix (); |
|
458
|
749 } |
|
|
750 |
|
1205
|
751 if (nc == 0 || nr == 0) |
|
|
752 return ComplexDiagMatrix (nr, nc); |
|
458
|
753 |
|
1205
|
754 return ComplexDiagMatrix (multiply (m.data (), a.data (), m.length ()), |
|
|
755 nr, nc); |
|
458
|
756 } |
|
|
757 |
|
|
758 // other operations |
|
|
759 |
|
|
760 ComplexColumnVector |
|
|
761 ComplexDiagMatrix::diag (void) const |
|
|
762 { |
|
|
763 return diag (0); |
|
|
764 } |
|
|
765 |
|
|
766 // Could be optimized... |
|
|
767 |
|
|
768 ComplexColumnVector |
|
|
769 ComplexDiagMatrix::diag (int k) const |
|
|
770 { |
|
|
771 int nnr = rows (); |
|
|
772 int nnc = cols (); |
|
|
773 if (k > 0) |
|
|
774 nnc -= k; |
|
|
775 else if (k < 0) |
|
|
776 nnr += k; |
|
|
777 |
|
|
778 ComplexColumnVector d; |
|
|
779 |
|
|
780 if (nnr > 0 && nnc > 0) |
|
|
781 { |
|
|
782 int ndiag = (nnr < nnc) ? nnr : nnc; |
|
|
783 |
|
|
784 d.resize (ndiag); |
|
|
785 |
|
|
786 if (k > 0) |
|
|
787 { |
|
|
788 for (int i = 0; i < ndiag; i++) |
|
|
789 d.elem (i) = elem (i, i+k); |
|
|
790 } |
|
|
791 else if ( k < 0) |
|
|
792 { |
|
|
793 for (int i = 0; i < ndiag; i++) |
|
|
794 d.elem (i) = elem (i-k, i); |
|
|
795 } |
|
|
796 else |
|
|
797 { |
|
|
798 for (int i = 0; i < ndiag; i++) |
|
|
799 d.elem (i) = elem (i, i); |
|
|
800 } |
|
|
801 } |
|
|
802 else |
|
|
803 cerr << "diag: requested diagonal out of range\n"; |
|
|
804 |
|
|
805 return d; |
|
|
806 } |
|
|
807 |
|
|
808 // i/o |
|
|
809 |
|
|
810 ostream& |
|
|
811 operator << (ostream& os, const ComplexDiagMatrix& a) |
|
|
812 { |
|
|
813 Complex ZERO (0.0); |
|
|
814 // int field_width = os.precision () + 7; |
|
|
815 for (int i = 0; i < a.rows (); i++) |
|
|
816 { |
|
|
817 for (int j = 0; j < a.cols (); j++) |
|
|
818 { |
|
|
819 if (i == j) |
|
|
820 os << " " /* setw (field_width) */ << a.elem (i, i); |
|
|
821 else |
|
|
822 os << " " /* setw (field_width) */ << ZERO; |
|
|
823 } |
|
|
824 os << "\n"; |
|
|
825 } |
|
|
826 return os; |
|
|
827 } |
|
|
828 |
|
|
829 /* |
|
|
830 ;;; Local Variables: *** |
|
|
831 ;;; mode: C++ *** |
|
|
832 ;;; page-delimiter: "^/\\*" *** |
|
|
833 ;;; End: *** |
|
|
834 */ |
