1993
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1 // DiagMatrix manipulations. |
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2 /* |
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3 |
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4 Copyright (C) 1996, 1997 John W. Eaton |
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5 |
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6 This file is part of Octave. |
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7 |
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8 Octave is free software; you can redistribute it and/or modify it |
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9 under the terms of the GNU General Public License as published by the |
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10 Free Software Foundation; either version 2, or (at your option) any |
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11 later version. |
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12 |
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13 Octave is distributed in the hope that it will be useful, but WITHOUT |
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14 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or |
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15 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License |
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16 for more details. |
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17 |
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18 You should have received a copy of the GNU General Public License |
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19 along with Octave; see the file COPYING. If not, write to the Free |
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20 Software Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA |
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21 02110-1301, USA. |
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22 |
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23 */ |
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24 |
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25 #ifdef HAVE_CONFIG_H |
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26 #include <config.h> |
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27 #endif |
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28 |
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29 #include <iostream> |
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30 |
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31 #include "Array-util.h" |
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32 #include "lo-error.h" |
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33 #include "mx-base.h" |
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34 #include "mx-inlines.cc" |
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35 #include "oct-cmplx.h" |
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36 |
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37 // Complex Diagonal Matrix class |
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38 |
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39 ComplexDiagMatrix::ComplexDiagMatrix (const DiagMatrix& a) |
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40 : MDiagArray2<Complex> (a.rows (), a.cols ()) |
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41 { |
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42 for (octave_idx_type i = 0; i < length (); i++) |
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43 elem (i, i) = a.elem (i, i); |
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44 } |
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45 |
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46 bool |
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47 ComplexDiagMatrix::operator == (const ComplexDiagMatrix& a) const |
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48 { |
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49 if (rows () != a.rows () || cols () != a.cols ()) |
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50 return 0; |
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51 |
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52 return mx_inline_equal (data (), a.data (), length ()); |
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53 } |
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54 |
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55 bool |
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56 ComplexDiagMatrix::operator != (const ComplexDiagMatrix& a) const |
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57 { |
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58 return !(*this == a); |
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59 } |
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60 |
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61 ComplexDiagMatrix& |
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62 ComplexDiagMatrix::fill (double val) |
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63 { |
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64 for (octave_idx_type i = 0; i < length (); i++) |
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65 elem (i, i) = val; |
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66 return *this; |
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67 } |
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68 |
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69 ComplexDiagMatrix& |
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70 ComplexDiagMatrix::fill (const Complex& val) |
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71 { |
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72 for (octave_idx_type i = 0; i < length (); i++) |
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73 elem (i, i) = val; |
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74 return *this; |
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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, octave_idx_type beg, octave_idx_type end) |
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79 { |
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80 if (beg < 0 || end >= length () || end < beg) |
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81 { |
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82 (*current_liboctave_error_handler) ("range error for fill"); |
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83 return *this; |
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84 } |
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85 |
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86 for (octave_idx_type i = beg; i <= end; i++) |
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87 elem (i, i) = val; |
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88 |
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89 return *this; |
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90 } |
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91 |
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92 ComplexDiagMatrix& |
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93 ComplexDiagMatrix::fill (const Complex& val, octave_idx_type beg, octave_idx_type end) |
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94 { |
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95 if (beg < 0 || end >= length () || end < beg) |
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96 { |
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97 (*current_liboctave_error_handler) ("range error for fill"); |
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98 return *this; |
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99 } |
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100 |
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101 for (octave_idx_type i = beg; i <= end; i++) |
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102 elem (i, i) = val; |
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103 |
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104 return *this; |
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105 } |
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106 |
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107 ComplexDiagMatrix& |
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108 ComplexDiagMatrix::fill (const ColumnVector& a) |
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109 { |
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110 octave_idx_type len = length (); |
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111 if (a.length () != len) |
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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 (octave_idx_type i = 0; i < len; i++) |
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118 elem (i, i) = a.elem (i); |
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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 ComplexColumnVector& a) |
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125 { |
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126 octave_idx_type 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 (octave_idx_type 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 RowVector& a) |
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141 { |
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142 octave_idx_type 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 (octave_idx_type 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 ComplexRowVector& a) |
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157 { |
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158 octave_idx_type 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 (octave_idx_type 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 ColumnVector& a, octave_idx_type beg) |
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173 { |
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174 octave_idx_type a_len = a.length (); |
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175 if (beg < 0 || beg + a_len >= length ()) |
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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 (octave_idx_type i = 0; i < a_len; i++) |
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182 elem (i+beg, i+beg) = 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 ComplexColumnVector& a, octave_idx_type beg) |
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189 { |
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190 octave_idx_type 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 (octave_idx_type 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 RowVector& a, octave_idx_type beg) |
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205 { |
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206 octave_idx_type 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 (octave_idx_type 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 ComplexRowVector& a, octave_idx_type beg) |
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221 { |
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222 octave_idx_type 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 (octave_idx_type 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::hermitian (void) const |
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237 { |
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238 return ComplexDiagMatrix (mx_inline_conj_dup (data (), length ()), |
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239 cols (), rows ()); |
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240 } |
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241 |
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242 ComplexDiagMatrix |
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243 ComplexDiagMatrix::transpose (void) const |
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244 { |
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245 return ComplexDiagMatrix (mx_inline_dup (data (), length ()), |
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246 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 octave_idx_type a_len = a.length (); |
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254 if (a_len > 0) |
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255 retval = ComplexDiagMatrix (mx_inline_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 (octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2) const |
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264 { |
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265 if (r1 > r2) { octave_idx_type tmp = r1; r1 = r2; r2 = tmp; } |
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266 if (c1 > c2) { octave_idx_type tmp = c1; c1 = c2; c2 = tmp; } |
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267 |
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268 octave_idx_type new_r = r2 - r1 + 1; |
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269 octave_idx_type 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 (octave_idx_type j = 0; j < new_c; j++) |
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274 for (octave_idx_type 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 (octave_idx_type i) const |
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284 { |
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285 octave_idx_type r = rows (); |
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286 octave_idx_type c = cols (); |
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287 if (i < 0 || i >= r) |
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288 { |
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289 (*current_liboctave_error_handler) ("invalid row selection"); |
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290 return ComplexRowVector (); |
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291 } |
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292 |
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293 ComplexRowVector retval (c, 0.0); |
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294 if (r <= c || (r > c && i < c)) |
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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 (static_cast<octave_idx_type>(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 (octave_idx_type i) const |
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323 { |
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324 octave_idx_type r = rows (); |
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325 octave_idx_type c = cols (); |
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326 if (i < 0 || i >= c) |
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327 { |
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328 (*current_liboctave_error_handler) ("invalid column selection"); |
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329 return ComplexColumnVector (); |
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330 } |
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331 |
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332 ComplexColumnVector retval (r, 0.0); |
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333 if (r >= c || (r < c && i < r)) |
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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 ComplexColumnVector (); |
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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 (static_cast<octave_idx_type>(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 ComplexColumnVector (); |
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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 octave_idx_type r = rows (); |
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371 octave_idx_type c = cols (); |
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372 if (r != c) |
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373 { |
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374 (*current_liboctave_error_handler) ("inverse requires square matrix"); |
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375 return ComplexDiagMatrix (); |
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376 } |
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377 |
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378 ComplexDiagMatrix retval (r, c); |
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379 |
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380 info = 0; |
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381 for (octave_idx_type 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 octave_idx_type r = rows (); |
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401 octave_idx_type c = cols (); |
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402 |
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403 octave_idx_type a_nr = a.rows (); |
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404 octave_idx_type a_nc = a.cols (); |
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405 |
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406 if (r != a_nr || c != a_nc) |
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407 { |
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408 gripe_nonconformant ("operator +=", r, c, a_nr, a_nc); |
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409 return *this; |
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410 } |
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411 |
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412 if (r == 0 || c == 0) |
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413 return *this; |
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414 |
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415 Complex *d = fortran_vec (); // Ensures only one reference to my privates! |
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416 |
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417 mx_inline_add2 (d, a.data (), length ()); |
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418 return *this; |
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419 } |
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420 |
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421 ComplexDiagMatrix |
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422 operator * (const ComplexDiagMatrix& a, const DiagMatrix& b) |
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423 { |
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424 octave_idx_type a_nr = a.rows (); |
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425 octave_idx_type a_nc = a.cols (); |
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426 |
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427 octave_idx_type b_nr = b.rows (); |
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428 octave_idx_type b_nc = b.cols (); |
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429 |
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430 if (a_nc != b_nr) |
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431 { |
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432 gripe_nonconformant ("operator *", a_nr, a_nc, b_nr, b_nc); |
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433 return ComplexDiagMatrix (); |
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434 } |
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435 |
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436 if (a_nr == 0 || a_nc == 0 || b_nc == 0) |
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437 return ComplexDiagMatrix (a_nr, a_nc, 0.0); |
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438 |
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439 ComplexDiagMatrix c (a_nr, b_nc); |
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440 |
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441 octave_idx_type len = a_nr < b_nc ? a_nr : b_nc; |
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442 |
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443 for (octave_idx_type i = 0; i < len; i++) |
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444 { |
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445 Complex a_element = a.elem (i, i); |
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446 double b_element = b.elem (i, i); |
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447 |
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448 if (a_element == 0.0 || b_element == 0.0) |
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449 c.elem (i, i) = 0.0; |
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450 else if (a_element == 1.0) |
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451 c.elem (i, i) = b_element; |
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452 else if (b_element == 1.0) |
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453 c.elem (i, i) = a_element; |
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454 else |
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455 c.elem (i, i) = a_element * b_element; |
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456 } |
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457 |
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458 return c; |
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459 } |
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460 |
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461 ComplexDiagMatrix |
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462 operator * (const DiagMatrix& a, const ComplexDiagMatrix& b) |
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463 { |
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464 octave_idx_type a_nr = a.rows (); |
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465 octave_idx_type a_nc = a.cols (); |
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466 |
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467 octave_idx_type b_nr = b.rows (); |
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468 octave_idx_type b_nc = b.cols (); |
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469 |
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470 if (a_nc != b_nr) |
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471 { |
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472 gripe_nonconformant ("operator *", a_nr, a_nc, b_nr, b_nc); |
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473 return ComplexDiagMatrix (); |
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474 } |
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475 |
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476 if (a_nr == 0 || a_nc == 0 || b_nc == 0) |
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477 return ComplexDiagMatrix (a_nr, a_nc, 0.0); |
1205
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478 |
3504
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479 ComplexDiagMatrix c (a_nr, b_nc); |
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480 |
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481 octave_idx_type len = a_nr < b_nc ? a_nr : b_nc; |
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482 |
5275
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483 for (octave_idx_type i = 0; i < len; i++) |
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484 { |
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485 double a_element = a.elem (i, i); |
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486 Complex b_element = b.elem (i, i); |
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487 |
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488 if (a_element == 0.0 || b_element == 0.0) |
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489 c.elem (i, i) = 0.0; |
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490 else if (a_element == 1.0) |
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491 c.elem (i, i) = b_element; |
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492 else if (b_element == 1.0) |
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493 c.elem (i, i) = a_element; |
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494 else |
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495 c.elem (i, i) = a_element * b_element; |
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496 } |
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497 |
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498 return c; |
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499 } |
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500 |
458
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501 // other operations |
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502 |
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503 ComplexColumnVector |
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504 ComplexDiagMatrix::diag (void) const |
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505 { |
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506 return diag (0); |
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507 } |
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508 |
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509 // Could be optimized... |
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510 |
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511 ComplexColumnVector |
5275
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512 ComplexDiagMatrix::diag (octave_idx_type k) const |
458
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513 { |
5275
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514 octave_idx_type nnr = rows (); |
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515 octave_idx_type nnc = cols (); |
458
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516 if (k > 0) |
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517 nnc -= k; |
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518 else if (k < 0) |
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519 nnr += k; |
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520 |
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521 ComplexColumnVector d; |
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522 |
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523 if (nnr > 0 && nnc > 0) |
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524 { |
5275
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525 octave_idx_type ndiag = (nnr < nnc) ? nnr : nnc; |
458
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526 |
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527 d.resize (ndiag); |
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528 |
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529 if (k > 0) |
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530 { |
5275
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531 for (octave_idx_type i = 0; i < ndiag; i++) |
458
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532 d.elem (i) = elem (i, i+k); |
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533 } |
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534 else if ( k < 0) |
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535 { |
5275
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536 for (octave_idx_type i = 0; i < ndiag; i++) |
458
|
537 d.elem (i) = elem (i-k, i); |
|
538 } |
|
539 else |
|
540 { |
5275
|
541 for (octave_idx_type i = 0; i < ndiag; i++) |
458
|
542 d.elem (i) = elem (i, i); |
|
543 } |
|
544 } |
|
545 else |
4513
|
546 (*current_liboctave_error_handler) |
|
547 ("diag: requested diagonal out of range"); |
458
|
548 |
|
549 return d; |
|
550 } |
|
551 |
|
552 // i/o |
|
553 |
3504
|
554 std::ostream& |
|
555 operator << (std::ostream& os, const ComplexDiagMatrix& a) |
458
|
556 { |
|
557 Complex ZERO (0.0); |
|
558 // int field_width = os.precision () + 7; |
5275
|
559 for (octave_idx_type i = 0; i < a.rows (); i++) |
458
|
560 { |
5275
|
561 for (octave_idx_type j = 0; j < a.cols (); j++) |
458
|
562 { |
|
563 if (i == j) |
|
564 os << " " /* setw (field_width) */ << a.elem (i, i); |
|
565 else |
|
566 os << " " /* setw (field_width) */ << ZERO; |
|
567 } |
|
568 os << "\n"; |
|
569 } |
|
570 return os; |
|
571 } |
|
572 |
|
573 /* |
|
574 ;;; Local Variables: *** |
|
575 ;;; mode: C++ *** |
|
576 ;;; End: *** |
|
577 */ |