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458
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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) 1992, 1993, 1994, 1995 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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1368
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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 RowVector& a) |
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42 : MDiagArray<Complex> (a.length ()) |
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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); |
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46 } |
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47 |
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48 ComplexDiagMatrix::ComplexDiagMatrix (const ColumnVector& a) |
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49 : MDiagArray<Complex> (a.length ()) |
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50 { |
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51 for (int i = 0; i < length (); i++) |
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52 elem (i, i) = a.elem (i); |
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53 } |
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54 |
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55 ComplexDiagMatrix::ComplexDiagMatrix (const DiagMatrix& a) |
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56 : MDiagArray<Complex> (a.rows (), a.cols ()) |
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57 { |
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58 for (int i = 0; i < length (); i++) |
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59 elem (i, i) = a.elem (i, i); |
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60 } |
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61 |
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62 int |
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63 ComplexDiagMatrix::operator == (const ComplexDiagMatrix& a) const |
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64 { |
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65 if (rows () != a.rows () || cols () != a.cols ()) |
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66 return 0; |
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67 |
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68 return equal (data (), a.data (), length ()); |
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69 } |
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70 |
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71 int |
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72 ComplexDiagMatrix::operator != (const ComplexDiagMatrix& a) const |
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73 { |
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74 return !(*this == a); |
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75 } |
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76 |
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77 ComplexDiagMatrix& |
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78 ComplexDiagMatrix::fill (double val) |
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79 { |
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80 for (int i = 0; i < length (); i++) |
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81 elem (i, i) = val; |
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82 return *this; |
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83 } |
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84 |
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85 ComplexDiagMatrix& |
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86 ComplexDiagMatrix::fill (const Complex& val) |
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87 { |
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88 for (int i = 0; i < length (); i++) |
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89 elem (i, i) = val; |
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90 return *this; |
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91 } |
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92 |
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93 ComplexDiagMatrix& |
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94 ComplexDiagMatrix::fill (double val, int beg, int end) |
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95 { |
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96 if (beg < 0 || end >= length () || end < beg) |
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97 { |
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98 (*current_liboctave_error_handler) ("range error for fill"); |
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99 return *this; |
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100 } |
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101 |
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102 for (int i = beg; i <= end; i++) |
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103 elem (i, i) = val; |
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104 |
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105 return *this; |
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106 } |
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107 |
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108 ComplexDiagMatrix& |
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109 ComplexDiagMatrix::fill (const Complex& val, int beg, int end) |
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110 { |
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111 if (beg < 0 || end >= length () || end < beg) |
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112 { |
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113 (*current_liboctave_error_handler) ("range error for fill"); |
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114 return *this; |
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115 } |
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116 |
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117 for (int i = beg; i <= end; i++) |
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118 elem (i, i) = val; |
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119 |
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120 return *this; |
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121 } |
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122 |
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123 ComplexDiagMatrix& |
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124 ComplexDiagMatrix::fill (const ColumnVector& a) |
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125 { |
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126 int len = length (); |
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127 if (a.length () != len) |
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128 { |
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129 (*current_liboctave_error_handler) ("range error for fill"); |
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130 return *this; |
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131 } |
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132 |
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133 for (int i = 0; i < len; i++) |
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134 elem (i, i) = a.elem (i); |
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135 |
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136 return *this; |
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137 } |
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138 |
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139 ComplexDiagMatrix& |
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140 ComplexDiagMatrix::fill (const ComplexColumnVector& a) |
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141 { |
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142 int len = length (); |
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143 if (a.length () != len) |
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144 { |
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145 (*current_liboctave_error_handler) ("range error for fill"); |
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146 return *this; |
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147 } |
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148 |
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149 for (int i = 0; i < len; i++) |
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150 elem (i, i) = a.elem (i); |
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151 |
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152 return *this; |
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153 } |
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154 |
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155 ComplexDiagMatrix& |
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156 ComplexDiagMatrix::fill (const RowVector& a) |
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157 { |
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158 int len = length (); |
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159 if (a.length () != len) |
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160 { |
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161 (*current_liboctave_error_handler) ("range error for fill"); |
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162 return *this; |
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163 } |
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164 |
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165 for (int i = 0; i < len; i++) |
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166 elem (i, i) = a.elem (i); |
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167 |
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168 return *this; |
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169 } |
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170 |
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171 ComplexDiagMatrix& |
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172 ComplexDiagMatrix::fill (const ComplexRowVector& a) |
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173 { |
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174 int len = length (); |
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175 if (a.length () != len) |
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176 { |
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177 (*current_liboctave_error_handler) ("range error for fill"); |
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178 return *this; |
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179 } |
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180 |
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181 for (int i = 0; i < len; i++) |
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182 elem (i, i) = a.elem (i); |
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183 |
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184 return *this; |
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185 } |
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186 |
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187 ComplexDiagMatrix& |
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188 ComplexDiagMatrix::fill (const ColumnVector& a, int beg) |
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189 { |
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190 int a_len = a.length (); |
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191 if (beg < 0 || beg + a_len >= length ()) |
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192 { |
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193 (*current_liboctave_error_handler) ("range error for fill"); |
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194 return *this; |
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195 } |
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196 |
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197 for (int i = 0; i < a_len; i++) |
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198 elem (i+beg, i+beg) = a.elem (i); |
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199 |
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200 return *this; |
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201 } |
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202 |
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203 ComplexDiagMatrix& |
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204 ComplexDiagMatrix::fill (const ComplexColumnVector& a, int beg) |
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205 { |
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206 int a_len = a.length (); |
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207 if (beg < 0 || beg + a_len >= length ()) |
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208 { |
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209 (*current_liboctave_error_handler) ("range error for fill"); |
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210 return *this; |
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211 } |
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212 |
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213 for (int i = 0; i < a_len; i++) |
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214 elem (i+beg, i+beg) = a.elem (i); |
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215 |
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216 return *this; |
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217 } |
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218 |
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219 ComplexDiagMatrix& |
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220 ComplexDiagMatrix::fill (const RowVector& a, int beg) |
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221 { |
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222 int a_len = a.length (); |
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223 if (beg < 0 || beg + a_len >= length ()) |
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224 { |
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225 (*current_liboctave_error_handler) ("range error for fill"); |
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226 return *this; |
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227 } |
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228 |
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229 for (int i = 0; i < a_len; i++) |
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230 elem (i+beg, i+beg) = a.elem (i); |
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231 |
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232 return *this; |
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233 } |
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234 |
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235 ComplexDiagMatrix& |
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236 ComplexDiagMatrix::fill (const ComplexRowVector& a, int beg) |
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237 { |
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238 int a_len = a.length (); |
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239 if (beg < 0 || beg + a_len >= length ()) |
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240 { |
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241 (*current_liboctave_error_handler) ("range error for fill"); |
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242 return *this; |
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243 } |
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244 |
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245 for (int i = 0; i < a_len; i++) |
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246 elem (i+beg, i+beg) = a.elem (i); |
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247 |
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248 return *this; |
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249 } |
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250 |
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251 ComplexDiagMatrix |
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252 ComplexDiagMatrix::hermitian (void) const |
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253 { |
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254 return ComplexDiagMatrix (conj_dup (data (), length ()), cols (), rows ()); |
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255 } |
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256 |
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257 ComplexDiagMatrix |
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258 ComplexDiagMatrix::transpose (void) const |
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259 { |
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260 return ComplexDiagMatrix (dup (data (), length ()), cols (), rows ()); |
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261 } |
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262 |
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263 ComplexDiagMatrix |
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264 conj (const ComplexDiagMatrix& a) |
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265 { |
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266 ComplexDiagMatrix retval; |
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267 int a_len = a.length (); |
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268 if (a_len > 0) |
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269 retval = ComplexDiagMatrix (conj_dup (a.data (), a_len), |
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270 a.rows (), a.cols ()); |
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271 return retval; |
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272 } |
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273 |
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274 // resize is the destructive analog for this one |
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275 |
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276 ComplexMatrix |
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277 ComplexDiagMatrix::extract (int r1, int c1, int r2, int c2) const |
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278 { |
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279 if (r1 > r2) { int tmp = r1; r1 = r2; r2 = tmp; } |
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280 if (c1 > c2) { int tmp = c1; c1 = c2; c2 = tmp; } |
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281 |
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282 int new_r = r2 - r1 + 1; |
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283 int new_c = c2 - c1 + 1; |
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284 |
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285 ComplexMatrix result (new_r, new_c); |
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286 |
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287 for (int j = 0; j < new_c; j++) |
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288 for (int i = 0; i < new_r; i++) |
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289 result.elem (i, j) = elem (r1+i, c1+j); |
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290 |
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291 return result; |
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292 } |
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293 |
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294 // extract row or column i. |
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295 |
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296 ComplexRowVector |
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297 ComplexDiagMatrix::row (int i) const |
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298 { |
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299 int nr = rows (); |
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300 int nc = cols (); |
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301 if (i < 0 || i >= nr) |
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302 { |
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303 (*current_liboctave_error_handler) ("invalid row selection"); |
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304 return RowVector (); |
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305 } |
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306 |
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307 ComplexRowVector retval (nc, 0.0); |
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308 if (nr <= nc || (nr > nc && i < nc)) |
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309 retval.elem (i) = elem (i, i); |
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310 |
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311 return retval; |
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312 } |
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313 |
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314 ComplexRowVector |
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315 ComplexDiagMatrix::row (char *s) const |
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316 { |
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533
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317 if (! s) |
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318 { |
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319 (*current_liboctave_error_handler) ("invalid row selection"); |
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320 return ComplexRowVector (); |
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321 } |
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322 |
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323 char c = *s; |
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324 if (c == 'f' || c == 'F') |
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325 return row (0); |
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326 else if (c == 'l' || c == 'L') |
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327 return row (rows () - 1); |
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328 else |
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329 { |
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330 (*current_liboctave_error_handler) ("invalid row selection"); |
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331 return ComplexRowVector (); |
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332 } |
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333 } |
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334 |
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335 ComplexColumnVector |
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336 ComplexDiagMatrix::column (int i) const |
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337 { |
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338 int nr = rows (); |
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339 int nc = cols (); |
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340 if (i < 0 || i >= nc) |
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341 { |
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342 (*current_liboctave_error_handler) ("invalid column selection"); |
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343 return ColumnVector (); |
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344 } |
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345 |
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346 ComplexColumnVector retval (nr, 0.0); |
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347 if (nr >= nc || (nr < nc && i < nr)) |
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348 retval.elem (i) = elem (i, i); |
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349 |
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350 return retval; |
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351 } |
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352 |
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353 ComplexColumnVector |
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354 ComplexDiagMatrix::column (char *s) const |
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355 { |
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533
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356 if (! s) |
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357 { |
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358 (*current_liboctave_error_handler) ("invalid column selection"); |
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359 return ColumnVector (); |
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360 } |
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361 |
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362 char c = *s; |
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363 if (c == 'f' || c == 'F') |
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364 return column (0); |
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365 else if (c == 'l' || c == 'L') |
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366 return column (cols () - 1); |
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367 else |
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368 { |
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369 (*current_liboctave_error_handler) ("invalid column selection"); |
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370 return ColumnVector (); |
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371 } |
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372 } |
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373 |
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374 ComplexDiagMatrix |
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375 ComplexDiagMatrix::inverse (void) const |
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376 { |
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377 int info; |
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378 return inverse (info); |
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379 } |
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380 |
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381 ComplexDiagMatrix |
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382 ComplexDiagMatrix::inverse (int& info) const |
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383 { |
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384 int nr = rows (); |
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385 int nc = cols (); |
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386 if (nr != nc) |
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387 { |
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388 (*current_liboctave_error_handler) ("inverse requires square matrix"); |
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389 return DiagMatrix (); |
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390 } |
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391 |
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392 ComplexDiagMatrix retval (nr, nc); |
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393 |
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394 info = 0; |
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395 for (int i = 0; i < length (); i++) |
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396 { |
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397 if (elem (i, i) == 0.0) |
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398 { |
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399 info = -1; |
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400 return *this; |
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401 } |
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402 else |
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403 retval.elem (i, i) = 1.0 / elem (i, i); |
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404 } |
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405 |
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406 return retval; |
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458
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407 } |
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408 |
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409 // diagonal matrix by diagonal matrix -> diagonal matrix operations |
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410 |
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411 ComplexDiagMatrix& |
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412 ComplexDiagMatrix::operator += (const DiagMatrix& a) |
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413 { |
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414 int nr = rows (); |
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415 int nc = cols (); |
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416 if (nr != a.rows () || nc != a.cols ()) |
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417 { |
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418 (*current_liboctave_error_handler) |
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419 ("nonconformant matrix += operation attempted"); |
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420 return *this; |
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421 } |
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422 |
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423 if (nr == 0 || nc == 0) |
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424 return *this; |
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425 |
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426 Complex *d = fortran_vec (); // Ensures only one reference to my privates! |
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427 |
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428 add2 (d, a.data (), length ()); |
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429 return *this; |
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430 } |
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431 |
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432 ComplexDiagMatrix& |
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433 ComplexDiagMatrix::operator -= (const DiagMatrix& a) |
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434 { |
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435 int nr = rows (); |
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436 int nc = cols (); |
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437 if (nr != a.rows () || nc != a.cols ()) |
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438 { |
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439 (*current_liboctave_error_handler) |
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440 ("nonconformant matrix -= operation attempted"); |
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441 return *this; |
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442 } |
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443 |
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444 if (nr == 0 || nc == 0) |
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445 return *this; |
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446 |
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447 Complex *d = fortran_vec (); // Ensures only one reference to my privates! |
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448 |
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449 subtract2 (d, a.data (), length ()); |
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450 return *this; |
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451 } |
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452 |
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453 ComplexDiagMatrix& |
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454 ComplexDiagMatrix::operator += (const ComplexDiagMatrix& a) |
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455 { |
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456 int nr = rows (); |
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457 int nc = cols (); |
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458 if (nr != a.rows () || nc != a.cols ()) |
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459 { |
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460 (*current_liboctave_error_handler) |
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461 ("nonconformant matrix += operation attempted"); |
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462 return *this; |
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463 } |
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464 |
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465 if (nr == 0 || nc == 0) |
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466 return *this; |
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467 |
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468 Complex *d = fortran_vec (); // Ensures only one reference to my privates! |
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469 |
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470 add2 (d, a.data (), length ()); |
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471 return *this; |
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472 } |
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473 |
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474 ComplexDiagMatrix& |
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475 ComplexDiagMatrix::operator -= (const ComplexDiagMatrix& a) |
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476 { |
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477 int nr = rows (); |
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478 int nc = cols (); |
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479 if (nr != a.rows () || nc != a.cols ()) |
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480 { |
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481 (*current_liboctave_error_handler) |
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482 ("nonconformant matrix -= operation attempted"); |
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483 return *this; |
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484 } |
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485 |
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486 if (nr == 0 || nc == 0) |
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487 return *this; |
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488 |
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489 Complex *d = fortran_vec (); // Ensures only one reference to my privates! |
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490 |
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491 subtract2 (d, a.data (), length ()); |
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492 return *this; |
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493 } |
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494 |
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495 // diagonal matrix by scalar -> diagonal matrix operations |
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496 |
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497 ComplexDiagMatrix |
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498 operator * (const ComplexDiagMatrix& a, double s) |
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499 { |
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500 return ComplexDiagMatrix (multiply (a.data (), a.length (), s), |
|
|
501 a.rows (), a.cols ()); |
|
|
502 } |
|
|
503 |
|
|
504 ComplexDiagMatrix |
|
|
505 operator / (const ComplexDiagMatrix& a, double s) |
|
|
506 { |
|
|
507 return ComplexDiagMatrix (divide (a.data (), a.length (), s), |
|
|
508 a.rows (), a.cols ()); |
|
|
509 } |
|
|
510 |
|
1205
|
511 ComplexDiagMatrix |
|
|
512 operator * (const DiagMatrix& a, const Complex& s) |
|
458
|
513 { |
|
1205
|
514 return ComplexDiagMatrix (multiply (a.data (), a.length (), s), |
|
|
515 a.rows (), a.cols ()); |
|
458
|
516 } |
|
|
517 |
|
1205
|
518 ComplexDiagMatrix |
|
|
519 operator / (const DiagMatrix& a, const Complex& s) |
|
458
|
520 { |
|
1205
|
521 return ComplexDiagMatrix (divide (a.data (), a.length (), s), |
|
|
522 a.rows (), a.cols ()); |
|
458
|
523 } |
|
|
524 |
|
|
525 // scalar by diagonal matrix -> diagonal matrix operations |
|
|
526 |
|
|
527 ComplexDiagMatrix |
|
|
528 operator * (double s, const ComplexDiagMatrix& a) |
|
|
529 { |
|
|
530 return ComplexDiagMatrix (multiply (a.data (), a.length (), s), |
|
|
531 a.rows (), a.cols ()); |
|
|
532 } |
|
|
533 |
|
1205
|
534 ComplexDiagMatrix |
|
|
535 operator * (const Complex& s, const DiagMatrix& a) |
|
458
|
536 { |
|
1205
|
537 return ComplexDiagMatrix (multiply (a.data (), a.length (), s), |
|
|
538 a.rows (), a.cols ()); |
|
458
|
539 } |
|
|
540 |
|
|
541 // diagonal matrix by diagonal matrix -> diagonal matrix operations |
|
|
542 |
|
|
543 ComplexDiagMatrix |
|
|
544 operator * (const ComplexDiagMatrix& a, const ComplexDiagMatrix& b) |
|
|
545 { |
|
|
546 int nr_a = a.rows (); |
|
|
547 int nc_a = a.cols (); |
|
|
548 int nr_b = b.rows (); |
|
|
549 int nc_b = b.cols (); |
|
|
550 if (nc_a != nr_b) |
|
|
551 { |
|
|
552 (*current_liboctave_error_handler) |
|
|
553 ("nonconformant matrix multiplication attempted"); |
|
|
554 return ComplexDiagMatrix (); |
|
|
555 } |
|
|
556 |
|
|
557 if (nr_a == 0 || nc_a == 0 || nc_b == 0) |
|
|
558 return ComplexDiagMatrix (nr_a, nc_a, 0.0); |
|
|
559 |
|
|
560 ComplexDiagMatrix c (nr_a, nc_b); |
|
|
561 |
|
|
562 int len = nr_a < nc_b ? nr_a : nc_b; |
|
|
563 |
|
|
564 for (int i = 0; i < len; i++) |
|
|
565 { |
|
|
566 Complex a_element = a.elem (i, i); |
|
|
567 Complex b_element = b.elem (i, i); |
|
|
568 |
|
|
569 if (a_element == 0.0 || b_element == 0.0) |
|
|
570 c.elem (i, i) = 0.0; |
|
|
571 else if (a_element == 1.0) |
|
|
572 c.elem (i, i) = b_element; |
|
|
573 else if (b_element == 1.0) |
|
|
574 c.elem (i, i) = a_element; |
|
|
575 else |
|
|
576 c.elem (i, i) = a_element * b_element; |
|
|
577 } |
|
|
578 |
|
|
579 return c; |
|
|
580 } |
|
|
581 |
|
|
582 ComplexDiagMatrix |
|
|
583 operator + (const ComplexDiagMatrix& m, const DiagMatrix& a) |
|
|
584 { |
|
|
585 int nr = m.rows (); |
|
|
586 int nc = m.cols (); |
|
|
587 if (nr != a.rows () || nc != a.cols ()) |
|
|
588 { |
|
|
589 (*current_liboctave_error_handler) |
|
|
590 ("nonconformant matrix addition attempted"); |
|
|
591 return ComplexDiagMatrix (); |
|
|
592 } |
|
|
593 |
|
|
594 if (nr == 0 || nc == 0) |
|
|
595 return ComplexDiagMatrix (nr, nc); |
|
|
596 |
|
|
597 return ComplexDiagMatrix (add (m.data (), a.data (), m.length ()), nr, nc); |
|
|
598 } |
|
|
599 |
|
|
600 ComplexDiagMatrix |
|
|
601 operator - (const ComplexDiagMatrix& m, const DiagMatrix& a) |
|
|
602 { |
|
|
603 int nr = m.rows (); |
|
|
604 int nc = m.cols (); |
|
|
605 if (nr != a.rows () || nc != a.cols ()) |
|
|
606 { |
|
|
607 (*current_liboctave_error_handler) |
|
|
608 ("nonconformant matrix subtraction attempted"); |
|
|
609 return ComplexDiagMatrix (); |
|
|
610 } |
|
|
611 |
|
|
612 if (nr == 0 || nc == 0) |
|
|
613 return ComplexDiagMatrix (nr, nc); |
|
|
614 |
|
|
615 return ComplexDiagMatrix (subtract (m.data (), a.data (), m.length ()), |
|
|
616 nr, nc); |
|
|
617 } |
|
|
618 |
|
|
619 ComplexDiagMatrix |
|
|
620 operator * (const ComplexDiagMatrix& a, const DiagMatrix& b) |
|
|
621 { |
|
|
622 int nr_a = a.rows (); |
|
|
623 int nc_a = a.cols (); |
|
|
624 int nr_b = b.rows (); |
|
|
625 int nc_b = b.cols (); |
|
|
626 if (nc_a != nr_b) |
|
|
627 { |
|
|
628 (*current_liboctave_error_handler) |
|
|
629 ("nonconformant matrix multiplication attempted"); |
|
|
630 return ComplexDiagMatrix (); |
|
|
631 } |
|
|
632 |
|
|
633 if (nr_a == 0 || nc_a == 0 || nc_b == 0) |
|
|
634 return ComplexDiagMatrix (nr_a, nc_a, 0.0); |
|
|
635 |
|
|
636 ComplexDiagMatrix c (nr_a, nc_b); |
|
|
637 |
|
|
638 int len = nr_a < nc_b ? nr_a : nc_b; |
|
|
639 |
|
|
640 for (int i = 0; i < len; i++) |
|
|
641 { |
|
|
642 Complex a_element = a.elem (i, i); |
|
|
643 double b_element = b.elem (i, i); |
|
|
644 |
|
|
645 if (a_element == 0.0 || b_element == 0.0) |
|
|
646 c.elem (i, i) = 0.0; |
|
|
647 else if (a_element == 1.0) |
|
|
648 c.elem (i, i) = b_element; |
|
|
649 else if (b_element == 1.0) |
|
|
650 c.elem (i, i) = a_element; |
|
|
651 else |
|
|
652 c.elem (i, i) = a_element * b_element; |
|
|
653 } |
|
|
654 |
|
|
655 return c; |
|
|
656 } |
|
|
657 |
|
|
658 ComplexDiagMatrix |
|
1205
|
659 operator + (const DiagMatrix& m, const ComplexDiagMatrix& a) |
|
|
660 { |
|
|
661 int nr = m.rows (); |
|
|
662 int nc = m.cols (); |
|
|
663 if (nr != a.rows () || nc != a.cols ()) |
|
|
664 { |
|
|
665 (*current_liboctave_error_handler) |
|
|
666 ("nonconformant matrix addition attempted"); |
|
|
667 return ComplexDiagMatrix (); |
|
|
668 } |
|
|
669 |
|
|
670 if (nc == 0 || nr == 0) |
|
|
671 return ComplexDiagMatrix (nr, nc); |
|
|
672 |
|
|
673 return ComplexDiagMatrix (add (m.data (), a.data (), m.length ()), nr, nc); |
|
|
674 } |
|
|
675 |
|
|
676 ComplexDiagMatrix |
|
|
677 operator - (const DiagMatrix& m, const ComplexDiagMatrix& a) |
|
|
678 { |
|
|
679 int nr = m.rows (); |
|
|
680 int nc = m.cols (); |
|
|
681 if (nr != a.rows () || nc != a.cols ()) |
|
|
682 { |
|
|
683 (*current_liboctave_error_handler) |
|
|
684 ("nonconformant matrix subtraction attempted"); |
|
|
685 return ComplexDiagMatrix (); |
|
|
686 } |
|
|
687 |
|
|
688 if (nc == 0 || nr == 0) |
|
|
689 return ComplexDiagMatrix (nr, nc); |
|
|
690 |
|
|
691 return ComplexDiagMatrix (subtract (m.data (), a.data (), m.length ()), |
|
|
692 nr, nc); |
|
|
693 } |
|
|
694 |
|
|
695 ComplexDiagMatrix |
|
|
696 operator * (const DiagMatrix& a, const ComplexDiagMatrix& b) |
|
|
697 { |
|
|
698 int nr_a = a.rows (); |
|
|
699 int nc_a = a.cols (); |
|
|
700 int nr_b = b.rows (); |
|
|
701 int nc_b = b.cols (); |
|
|
702 if (nc_a != nr_b) |
|
|
703 { |
|
|
704 (*current_liboctave_error_handler) |
|
|
705 ("nonconformant matrix multiplication attempted"); |
|
|
706 return ComplexDiagMatrix (); |
|
|
707 } |
|
|
708 |
|
|
709 if (nr_a == 0 || nc_a == 0 || nc_b == 0) |
|
|
710 return ComplexDiagMatrix (nr_a, nc_a, 0.0); |
|
|
711 |
|
|
712 ComplexDiagMatrix c (nr_a, nc_b); |
|
|
713 |
|
|
714 int len = nr_a < nc_b ? nr_a : nc_b; |
|
|
715 |
|
|
716 for (int i = 0; i < len; i++) |
|
|
717 { |
|
|
718 double a_element = a.elem (i, i); |
|
|
719 Complex b_element = b.elem (i, i); |
|
|
720 |
|
|
721 if (a_element == 0.0 || b_element == 0.0) |
|
|
722 c.elem (i, i) = 0.0; |
|
|
723 else if (a_element == 1.0) |
|
|
724 c.elem (i, i) = b_element; |
|
|
725 else if (b_element == 1.0) |
|
|
726 c.elem (i, i) = a_element; |
|
|
727 else |
|
|
728 c.elem (i, i) = a_element * b_element; |
|
|
729 } |
|
|
730 |
|
|
731 return c; |
|
|
732 } |
|
|
733 |
|
|
734 ComplexDiagMatrix |
|
458
|
735 product (const ComplexDiagMatrix& m, const DiagMatrix& a) |
|
|
736 { |
|
|
737 int nr = m.rows (); |
|
|
738 int nc = m.cols (); |
|
|
739 if (nr != a.rows () || nc != a.cols ()) |
|
|
740 { |
|
|
741 (*current_liboctave_error_handler) |
|
|
742 ("nonconformant matrix product attempted"); |
|
|
743 return ComplexDiagMatrix (); |
|
|
744 } |
|
|
745 |
|
|
746 if (nr == 0 || nc == 0) |
|
|
747 return ComplexDiagMatrix (nr, nc); |
|
|
748 |
|
|
749 return ComplexDiagMatrix (multiply (m.data (), a.data (), m.length ()), |
|
|
750 nr, nc); |
|
|
751 } |
|
|
752 |
|
1205
|
753 ComplexDiagMatrix |
|
|
754 product (const DiagMatrix& m, const ComplexDiagMatrix& a) |
|
458
|
755 { |
|
|
756 int nr = m.rows (); |
|
|
757 int nc = m.cols (); |
|
|
758 if (nr != a.rows () || nc != a.cols ()) |
|
|
759 { |
|
|
760 (*current_liboctave_error_handler) |
|
1205
|
761 ("nonconformant matrix product attempted"); |
|
|
762 return ComplexDiagMatrix (); |
|
458
|
763 } |
|
|
764 |
|
1205
|
765 if (nc == 0 || nr == 0) |
|
|
766 return ComplexDiagMatrix (nr, nc); |
|
458
|
767 |
|
1205
|
768 return ComplexDiagMatrix (multiply (m.data (), a.data (), m.length ()), |
|
|
769 nr, nc); |
|
458
|
770 } |
|
|
771 |
|
|
772 // other operations |
|
|
773 |
|
|
774 ComplexColumnVector |
|
|
775 ComplexDiagMatrix::diag (void) const |
|
|
776 { |
|
|
777 return diag (0); |
|
|
778 } |
|
|
779 |
|
|
780 // Could be optimized... |
|
|
781 |
|
|
782 ComplexColumnVector |
|
|
783 ComplexDiagMatrix::diag (int k) const |
|
|
784 { |
|
|
785 int nnr = rows (); |
|
|
786 int nnc = cols (); |
|
|
787 if (k > 0) |
|
|
788 nnc -= k; |
|
|
789 else if (k < 0) |
|
|
790 nnr += k; |
|
|
791 |
|
|
792 ComplexColumnVector d; |
|
|
793 |
|
|
794 if (nnr > 0 && nnc > 0) |
|
|
795 { |
|
|
796 int ndiag = (nnr < nnc) ? nnr : nnc; |
|
|
797 |
|
|
798 d.resize (ndiag); |
|
|
799 |
|
|
800 if (k > 0) |
|
|
801 { |
|
|
802 for (int i = 0; i < ndiag; i++) |
|
|
803 d.elem (i) = elem (i, i+k); |
|
|
804 } |
|
|
805 else if ( k < 0) |
|
|
806 { |
|
|
807 for (int i = 0; i < ndiag; i++) |
|
|
808 d.elem (i) = elem (i-k, i); |
|
|
809 } |
|
|
810 else |
|
|
811 { |
|
|
812 for (int i = 0; i < ndiag; i++) |
|
|
813 d.elem (i) = elem (i, i); |
|
|
814 } |
|
|
815 } |
|
|
816 else |
|
|
817 cerr << "diag: requested diagonal out of range\n"; |
|
|
818 |
|
|
819 return d; |
|
|
820 } |
|
|
821 |
|
|
822 // i/o |
|
|
823 |
|
|
824 ostream& |
|
|
825 operator << (ostream& os, const ComplexDiagMatrix& a) |
|
|
826 { |
|
|
827 Complex ZERO (0.0); |
|
|
828 // int field_width = os.precision () + 7; |
|
|
829 for (int i = 0; i < a.rows (); i++) |
|
|
830 { |
|
|
831 for (int j = 0; j < a.cols (); j++) |
|
|
832 { |
|
|
833 if (i == j) |
|
|
834 os << " " /* setw (field_width) */ << a.elem (i, i); |
|
|
835 else |
|
|
836 os << " " /* setw (field_width) */ << ZERO; |
|
|
837 } |
|
|
838 os << "\n"; |
|
|
839 } |
|
|
840 return os; |
|
|
841 } |
|
|
842 |
|
|
843 /* |
|
|
844 ;;; Local Variables: *** |
|
|
845 ;;; mode: C++ *** |
|
|
846 ;;; page-delimiter: "^/\\*" *** |
|
|
847 ;;; End: *** |
|
|
848 */ |
