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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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34 #include <Complex.h> |
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35 |
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1368
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36 #include "lo-error.h" |
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37 #include "mx-base.h" |
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38 #include "mx-inlines.cc" |
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39 |
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40 // Complex Diagonal Matrix class |
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41 |
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42 ComplexDiagMatrix::ComplexDiagMatrix (const RowVector& a) |
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43 : MDiagArray<Complex> (a.length ()) |
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44 { |
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45 for (int i = 0; i < length (); i++) |
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46 elem (i, i) = a.elem (i); |
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47 } |
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48 |
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49 ComplexDiagMatrix::ComplexDiagMatrix (const ColumnVector& a) |
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50 : MDiagArray<Complex> (a.length ()) |
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51 { |
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52 for (int i = 0; i < length (); i++) |
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53 elem (i, i) = a.elem (i); |
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54 } |
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55 |
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56 ComplexDiagMatrix::ComplexDiagMatrix (const DiagMatrix& a) |
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57 : MDiagArray<Complex> (a.rows (), a.cols ()) |
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58 { |
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59 for (int i = 0; i < length (); i++) |
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60 elem (i, i) = a.elem (i, i); |
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61 } |
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62 |
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63 int |
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64 ComplexDiagMatrix::operator == (const ComplexDiagMatrix& a) const |
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65 { |
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66 if (rows () != a.rows () || cols () != a.cols ()) |
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67 return 0; |
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68 |
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69 return equal (data (), a.data (), length ()); |
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70 } |
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71 |
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72 int |
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73 ComplexDiagMatrix::operator != (const ComplexDiagMatrix& a) const |
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74 { |
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75 return !(*this == a); |
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76 } |
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77 |
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78 ComplexDiagMatrix& |
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79 ComplexDiagMatrix::fill (double val) |
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80 { |
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81 for (int i = 0; i < length (); i++) |
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82 elem (i, i) = val; |
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83 return *this; |
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84 } |
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85 |
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86 ComplexDiagMatrix& |
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87 ComplexDiagMatrix::fill (const Complex& val) |
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88 { |
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89 for (int i = 0; i < length (); i++) |
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90 elem (i, i) = val; |
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91 return *this; |
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92 } |
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93 |
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94 ComplexDiagMatrix& |
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95 ComplexDiagMatrix::fill (double val, int beg, int end) |
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96 { |
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97 if (beg < 0 || end >= length () || end < beg) |
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98 { |
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99 (*current_liboctave_error_handler) ("range error for fill"); |
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100 return *this; |
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101 } |
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102 |
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103 for (int i = beg; i < end; i++) |
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104 elem (i, i) = val; |
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105 |
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106 return *this; |
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107 } |
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108 |
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109 ComplexDiagMatrix& |
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110 ComplexDiagMatrix::fill (const Complex& val, int beg, int end) |
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111 { |
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112 if (beg < 0 || end >= length () || end < beg) |
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113 { |
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114 (*current_liboctave_error_handler) ("range error for fill"); |
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115 return *this; |
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116 } |
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117 |
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118 for (int i = beg; i < end; i++) |
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119 elem (i, i) = val; |
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120 |
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121 return *this; |
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122 } |
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123 |
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124 ComplexDiagMatrix& |
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125 ComplexDiagMatrix::fill (const ColumnVector& a) |
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126 { |
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127 int len = length (); |
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128 if (a.length () != len) |
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129 { |
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130 (*current_liboctave_error_handler) ("range error for fill"); |
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131 return *this; |
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132 } |
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133 |
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134 for (int i = 0; i < len; i++) |
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135 elem (i, i) = a.elem (i); |
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136 |
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137 return *this; |
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138 } |
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139 |
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140 ComplexDiagMatrix& |
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141 ComplexDiagMatrix::fill (const ComplexColumnVector& a) |
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142 { |
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143 int len = length (); |
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144 if (a.length () != len) |
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145 { |
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146 (*current_liboctave_error_handler) ("range error for fill"); |
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147 return *this; |
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148 } |
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149 |
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150 for (int i = 0; i < len; i++) |
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151 elem (i, i) = a.elem (i); |
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152 |
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153 return *this; |
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154 } |
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155 |
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156 ComplexDiagMatrix& |
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157 ComplexDiagMatrix::fill (const RowVector& a) |
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158 { |
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159 int len = length (); |
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160 if (a.length () != len) |
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161 { |
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162 (*current_liboctave_error_handler) ("range error for fill"); |
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163 return *this; |
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164 } |
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165 |
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166 for (int i = 0; i < len; i++) |
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167 elem (i, i) = a.elem (i); |
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168 |
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169 return *this; |
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170 } |
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171 |
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172 ComplexDiagMatrix& |
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173 ComplexDiagMatrix::fill (const ComplexRowVector& a) |
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174 { |
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175 int len = length (); |
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176 if (a.length () != len) |
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177 { |
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178 (*current_liboctave_error_handler) ("range error for fill"); |
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179 return *this; |
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180 } |
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181 |
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182 for (int i = 0; i < len; i++) |
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183 elem (i, i) = a.elem (i); |
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184 |
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185 return *this; |
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186 } |
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187 |
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188 ComplexDiagMatrix& |
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189 ComplexDiagMatrix::fill (const ColumnVector& a, int beg) |
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190 { |
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191 int a_len = a.length (); |
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192 if (beg < 0 || beg + a_len >= length ()) |
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193 { |
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194 (*current_liboctave_error_handler) ("range error for fill"); |
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195 return *this; |
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196 } |
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197 |
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198 for (int i = 0; i < a_len; i++) |
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199 elem (i+beg, i+beg) = a.elem (i); |
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200 |
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201 return *this; |
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202 } |
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203 |
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204 ComplexDiagMatrix& |
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205 ComplexDiagMatrix::fill (const ComplexColumnVector& a, int beg) |
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206 { |
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207 int a_len = a.length (); |
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208 if (beg < 0 || beg + a_len >= length ()) |
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209 { |
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210 (*current_liboctave_error_handler) ("range error for fill"); |
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211 return *this; |
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212 } |
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213 |
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214 for (int i = 0; i < a_len; i++) |
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215 elem (i+beg, i+beg) = a.elem (i); |
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216 |
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217 return *this; |
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218 } |
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219 |
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220 ComplexDiagMatrix& |
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221 ComplexDiagMatrix::fill (const RowVector& a, int beg) |
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222 { |
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223 int a_len = a.length (); |
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224 if (beg < 0 || beg + a_len >= length ()) |
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225 { |
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226 (*current_liboctave_error_handler) ("range error for fill"); |
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227 return *this; |
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228 } |
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229 |
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230 for (int i = 0; i < a_len; i++) |
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231 elem (i+beg, i+beg) = a.elem (i); |
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232 |
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233 return *this; |
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234 } |
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235 |
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236 ComplexDiagMatrix& |
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237 ComplexDiagMatrix::fill (const ComplexRowVector& a, int beg) |
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238 { |
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239 int a_len = a.length (); |
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240 if (beg < 0 || beg + a_len >= length ()) |
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241 { |
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242 (*current_liboctave_error_handler) ("range error for fill"); |
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243 return *this; |
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244 } |
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245 |
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246 for (int i = 0; i < a_len; i++) |
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247 elem (i+beg, i+beg) = a.elem (i); |
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248 |
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249 return *this; |
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250 } |
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251 |
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252 ComplexDiagMatrix |
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253 ComplexDiagMatrix::hermitian (void) const |
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254 { |
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255 return ComplexDiagMatrix (conj_dup (data (), length ()), cols (), rows ()); |
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256 } |
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257 |
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258 ComplexDiagMatrix |
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259 ComplexDiagMatrix::transpose (void) const |
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260 { |
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261 return ComplexDiagMatrix (dup (data (), length ()), cols (), rows ()); |
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262 } |
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263 |
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264 ComplexDiagMatrix |
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265 conj (const ComplexDiagMatrix& a) |
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266 { |
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267 ComplexDiagMatrix retval; |
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268 int a_len = a.length (); |
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269 if (a_len > 0) |
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270 retval = ComplexDiagMatrix (conj_dup (a.data (), a_len), |
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271 a.rows (), a.cols ()); |
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272 return retval; |
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273 } |
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274 |
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275 // resize is the destructive analog for this one |
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276 |
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277 ComplexMatrix |
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278 ComplexDiagMatrix::extract (int r1, int c1, int r2, int c2) const |
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279 { |
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280 if (r1 > r2) { int tmp = r1; r1 = r2; r2 = tmp; } |
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281 if (c1 > c2) { int tmp = c1; c1 = c2; c2 = tmp; } |
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282 |
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283 int new_r = r2 - r1 + 1; |
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284 int new_c = c2 - c1 + 1; |
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285 |
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286 ComplexMatrix result (new_r, new_c); |
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287 |
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288 for (int j = 0; j < new_c; j++) |
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289 for (int i = 0; i < new_r; i++) |
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290 result.elem (i, j) = elem (r1+i, c1+j); |
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291 |
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292 return result; |
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293 } |
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294 |
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295 // extract row or column i. |
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296 |
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297 ComplexRowVector |
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298 ComplexDiagMatrix::row (int i) const |
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299 { |
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300 int nr = rows (); |
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301 int nc = cols (); |
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302 if (i < 0 || i >= nr) |
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303 { |
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304 (*current_liboctave_error_handler) ("invalid row selection"); |
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305 return RowVector (); |
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306 } |
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307 |
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308 ComplexRowVector retval (nc, 0.0); |
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309 if (nr <= nc || (nr > nc && i < nc)) |
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310 retval.elem (i) = elem (i, i); |
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311 |
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312 return retval; |
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313 } |
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314 |
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315 ComplexRowVector |
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316 ComplexDiagMatrix::row (char *s) const |
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317 { |
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318 if (! s) |
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319 { |
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320 (*current_liboctave_error_handler) ("invalid row selection"); |
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321 return ComplexRowVector (); |
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322 } |
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323 |
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324 char c = *s; |
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325 if (c == 'f' || c == 'F') |
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326 return row (0); |
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327 else if (c == 'l' || c == 'L') |
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328 return row (rows () - 1); |
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329 else |
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330 { |
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331 (*current_liboctave_error_handler) ("invalid row selection"); |
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332 return ComplexRowVector (); |
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333 } |
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334 } |
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335 |
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336 ComplexColumnVector |
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337 ComplexDiagMatrix::column (int i) const |
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338 { |
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339 int nr = rows (); |
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340 int nc = cols (); |
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341 if (i < 0 || i >= nc) |
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342 { |
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343 (*current_liboctave_error_handler) ("invalid column selection"); |
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344 return ColumnVector (); |
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345 } |
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346 |
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347 ComplexColumnVector retval (nr, 0.0); |
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348 if (nr >= nc || (nr < nc && i < nr)) |
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349 retval.elem (i) = elem (i, i); |
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350 |
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351 return retval; |
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352 } |
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353 |
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354 ComplexColumnVector |
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355 ComplexDiagMatrix::column (char *s) const |
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356 { |
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533
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357 if (! s) |
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358 { |
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359 (*current_liboctave_error_handler) ("invalid column selection"); |
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360 return ColumnVector (); |
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361 } |
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362 |
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363 char c = *s; |
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364 if (c == 'f' || c == 'F') |
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365 return column (0); |
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366 else if (c == 'l' || c == 'L') |
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367 return column (cols () - 1); |
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368 else |
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369 { |
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370 (*current_liboctave_error_handler) ("invalid column selection"); |
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371 return ColumnVector (); |
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372 } |
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373 } |
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374 |
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375 ComplexDiagMatrix |
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376 ComplexDiagMatrix::inverse (void) const |
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377 { |
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378 int info; |
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379 return inverse (info); |
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380 } |
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381 |
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382 ComplexDiagMatrix |
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383 ComplexDiagMatrix::inverse (int& info) const |
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384 { |
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385 int nr = rows (); |
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386 int nc = cols (); |
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387 if (nr != nc) |
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388 { |
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389 (*current_liboctave_error_handler) ("inverse requires square matrix"); |
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390 return DiagMatrix (); |
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391 } |
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392 |
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393 ComplexDiagMatrix retval (nr, nc); |
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394 |
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395 info = 0; |
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396 for (int i = 0; i < length (); i++) |
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397 { |
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398 if (elem (i, i) == 0.0) |
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399 { |
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400 info = -1; |
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401 return *this; |
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402 } |
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403 else |
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404 retval.elem (i, i) = 1.0 / elem (i, i); |
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405 } |
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406 |
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407 return retval; |
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458
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408 } |
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409 |
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410 // diagonal matrix by diagonal matrix -> diagonal matrix operations |
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411 |
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412 ComplexDiagMatrix& |
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413 ComplexDiagMatrix::operator += (const DiagMatrix& a) |
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414 { |
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415 int nr = rows (); |
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416 int nc = cols (); |
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417 if (nr != a.rows () || nc != a.cols ()) |
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418 { |
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419 (*current_liboctave_error_handler) |
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420 ("nonconformant matrix += operation attempted"); |
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421 return *this; |
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422 } |
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423 |
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424 if (nr == 0 || nc == 0) |
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425 return *this; |
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426 |
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427 Complex *d = fortran_vec (); // Ensures only one reference to my privates! |
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428 |
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429 add2 (d, a.data (), length ()); |
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430 return *this; |
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431 } |
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432 |
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433 ComplexDiagMatrix& |
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434 ComplexDiagMatrix::operator -= (const DiagMatrix& a) |
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435 { |
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436 int nr = rows (); |
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437 int nc = cols (); |
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438 if (nr != a.rows () || nc != a.cols ()) |
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439 { |
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440 (*current_liboctave_error_handler) |
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441 ("nonconformant matrix -= operation attempted"); |
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442 return *this; |
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443 } |
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444 |
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445 if (nr == 0 || nc == 0) |
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446 return *this; |
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447 |
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448 Complex *d = fortran_vec (); // Ensures only one reference to my privates! |
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449 |
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450 subtract2 (d, a.data (), length ()); |
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451 return *this; |
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452 } |
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453 |
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454 ComplexDiagMatrix& |
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455 ComplexDiagMatrix::operator += (const ComplexDiagMatrix& a) |
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456 { |
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457 int nr = rows (); |
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458 int nc = cols (); |
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459 if (nr != a.rows () || nc != a.cols ()) |
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460 { |
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461 (*current_liboctave_error_handler) |
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462 ("nonconformant matrix += operation attempted"); |
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463 return *this; |
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464 } |
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465 |
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466 if (nr == 0 || nc == 0) |
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467 return *this; |
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468 |
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469 Complex *d = fortran_vec (); // Ensures only one reference to my privates! |
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470 |
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471 add2 (d, a.data (), length ()); |
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472 return *this; |
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473 } |
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474 |
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475 ComplexDiagMatrix& |
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476 ComplexDiagMatrix::operator -= (const ComplexDiagMatrix& a) |
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477 { |
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478 int nr = rows (); |
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479 int nc = cols (); |
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480 if (nr != a.rows () || nc != a.cols ()) |
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481 { |
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482 (*current_liboctave_error_handler) |
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483 ("nonconformant matrix -= operation attempted"); |
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484 return *this; |
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485 } |
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486 |
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487 if (nr == 0 || nc == 0) |
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488 return *this; |
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489 |
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490 Complex *d = fortran_vec (); // Ensures only one reference to my privates! |
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491 |
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492 subtract2 (d, a.data (), length ()); |
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493 return *this; |
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494 } |
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495 |
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496 // diagonal matrix by scalar -> diagonal matrix operations |
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497 |
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498 ComplexDiagMatrix |
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499 operator * (const ComplexDiagMatrix& a, double s) |
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500 { |
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501 return ComplexDiagMatrix (multiply (a.data (), a.length (), s), |
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502 a.rows (), a.cols ()); |
|
|
503 } |
|
|
504 |
|
|
505 ComplexDiagMatrix |
|
|
506 operator / (const ComplexDiagMatrix& a, double s) |
|
|
507 { |
|
|
508 return ComplexDiagMatrix (divide (a.data (), a.length (), s), |
|
|
509 a.rows (), a.cols ()); |
|
|
510 } |
|
|
511 |
|
1205
|
512 ComplexDiagMatrix |
|
|
513 operator * (const DiagMatrix& a, const Complex& s) |
|
458
|
514 { |
|
1205
|
515 return ComplexDiagMatrix (multiply (a.data (), a.length (), s), |
|
|
516 a.rows (), a.cols ()); |
|
458
|
517 } |
|
|
518 |
|
1205
|
519 ComplexDiagMatrix |
|
|
520 operator / (const DiagMatrix& a, const Complex& s) |
|
458
|
521 { |
|
1205
|
522 return ComplexDiagMatrix (divide (a.data (), a.length (), s), |
|
|
523 a.rows (), a.cols ()); |
|
458
|
524 } |
|
|
525 |
|
|
526 // scalar by diagonal matrix -> diagonal matrix operations |
|
|
527 |
|
|
528 ComplexDiagMatrix |
|
|
529 operator * (double s, const ComplexDiagMatrix& a) |
|
|
530 { |
|
|
531 return ComplexDiagMatrix (multiply (a.data (), a.length (), s), |
|
|
532 a.rows (), a.cols ()); |
|
|
533 } |
|
|
534 |
|
1205
|
535 ComplexDiagMatrix |
|
|
536 operator * (const Complex& s, const DiagMatrix& a) |
|
458
|
537 { |
|
1205
|
538 return ComplexDiagMatrix (multiply (a.data (), a.length (), s), |
|
|
539 a.rows (), a.cols ()); |
|
458
|
540 } |
|
|
541 |
|
|
542 // diagonal matrix by diagonal matrix -> diagonal matrix operations |
|
|
543 |
|
|
544 ComplexDiagMatrix |
|
|
545 operator * (const ComplexDiagMatrix& a, const ComplexDiagMatrix& b) |
|
|
546 { |
|
|
547 int nr_a = a.rows (); |
|
|
548 int nc_a = a.cols (); |
|
|
549 int nr_b = b.rows (); |
|
|
550 int nc_b = b.cols (); |
|
|
551 if (nc_a != nr_b) |
|
|
552 { |
|
|
553 (*current_liboctave_error_handler) |
|
|
554 ("nonconformant matrix multiplication attempted"); |
|
|
555 return ComplexDiagMatrix (); |
|
|
556 } |
|
|
557 |
|
|
558 if (nr_a == 0 || nc_a == 0 || nc_b == 0) |
|
|
559 return ComplexDiagMatrix (nr_a, nc_a, 0.0); |
|
|
560 |
|
|
561 ComplexDiagMatrix c (nr_a, nc_b); |
|
|
562 |
|
|
563 int len = nr_a < nc_b ? nr_a : nc_b; |
|
|
564 |
|
|
565 for (int i = 0; i < len; i++) |
|
|
566 { |
|
|
567 Complex a_element = a.elem (i, i); |
|
|
568 Complex b_element = b.elem (i, i); |
|
|
569 |
|
|
570 if (a_element == 0.0 || b_element == 0.0) |
|
|
571 c.elem (i, i) = 0.0; |
|
|
572 else if (a_element == 1.0) |
|
|
573 c.elem (i, i) = b_element; |
|
|
574 else if (b_element == 1.0) |
|
|
575 c.elem (i, i) = a_element; |
|
|
576 else |
|
|
577 c.elem (i, i) = a_element * b_element; |
|
|
578 } |
|
|
579 |
|
|
580 return c; |
|
|
581 } |
|
|
582 |
|
|
583 ComplexDiagMatrix |
|
|
584 operator + (const ComplexDiagMatrix& m, const DiagMatrix& a) |
|
|
585 { |
|
|
586 int nr = m.rows (); |
|
|
587 int nc = m.cols (); |
|
|
588 if (nr != a.rows () || nc != a.cols ()) |
|
|
589 { |
|
|
590 (*current_liboctave_error_handler) |
|
|
591 ("nonconformant matrix addition attempted"); |
|
|
592 return ComplexDiagMatrix (); |
|
|
593 } |
|
|
594 |
|
|
595 if (nr == 0 || nc == 0) |
|
|
596 return ComplexDiagMatrix (nr, nc); |
|
|
597 |
|
|
598 return ComplexDiagMatrix (add (m.data (), a.data (), m.length ()), nr, nc); |
|
|
599 } |
|
|
600 |
|
|
601 ComplexDiagMatrix |
|
|
602 operator - (const ComplexDiagMatrix& m, const DiagMatrix& a) |
|
|
603 { |
|
|
604 int nr = m.rows (); |
|
|
605 int nc = m.cols (); |
|
|
606 if (nr != a.rows () || nc != a.cols ()) |
|
|
607 { |
|
|
608 (*current_liboctave_error_handler) |
|
|
609 ("nonconformant matrix subtraction attempted"); |
|
|
610 return ComplexDiagMatrix (); |
|
|
611 } |
|
|
612 |
|
|
613 if (nr == 0 || nc == 0) |
|
|
614 return ComplexDiagMatrix (nr, nc); |
|
|
615 |
|
|
616 return ComplexDiagMatrix (subtract (m.data (), a.data (), m.length ()), |
|
|
617 nr, nc); |
|
|
618 } |
|
|
619 |
|
|
620 ComplexDiagMatrix |
|
|
621 operator * (const ComplexDiagMatrix& a, const DiagMatrix& b) |
|
|
622 { |
|
|
623 int nr_a = a.rows (); |
|
|
624 int nc_a = a.cols (); |
|
|
625 int nr_b = b.rows (); |
|
|
626 int nc_b = b.cols (); |
|
|
627 if (nc_a != nr_b) |
|
|
628 { |
|
|
629 (*current_liboctave_error_handler) |
|
|
630 ("nonconformant matrix multiplication attempted"); |
|
|
631 return ComplexDiagMatrix (); |
|
|
632 } |
|
|
633 |
|
|
634 if (nr_a == 0 || nc_a == 0 || nc_b == 0) |
|
|
635 return ComplexDiagMatrix (nr_a, nc_a, 0.0); |
|
|
636 |
|
|
637 ComplexDiagMatrix c (nr_a, nc_b); |
|
|
638 |
|
|
639 int len = nr_a < nc_b ? nr_a : nc_b; |
|
|
640 |
|
|
641 for (int i = 0; i < len; i++) |
|
|
642 { |
|
|
643 Complex a_element = a.elem (i, i); |
|
|
644 double b_element = b.elem (i, i); |
|
|
645 |
|
|
646 if (a_element == 0.0 || b_element == 0.0) |
|
|
647 c.elem (i, i) = 0.0; |
|
|
648 else if (a_element == 1.0) |
|
|
649 c.elem (i, i) = b_element; |
|
|
650 else if (b_element == 1.0) |
|
|
651 c.elem (i, i) = a_element; |
|
|
652 else |
|
|
653 c.elem (i, i) = a_element * b_element; |
|
|
654 } |
|
|
655 |
|
|
656 return c; |
|
|
657 } |
|
|
658 |
|
|
659 ComplexDiagMatrix |
|
1205
|
660 operator + (const DiagMatrix& m, const ComplexDiagMatrix& a) |
|
|
661 { |
|
|
662 int nr = m.rows (); |
|
|
663 int nc = m.cols (); |
|
|
664 if (nr != a.rows () || nc != a.cols ()) |
|
|
665 { |
|
|
666 (*current_liboctave_error_handler) |
|
|
667 ("nonconformant matrix addition attempted"); |
|
|
668 return ComplexDiagMatrix (); |
|
|
669 } |
|
|
670 |
|
|
671 if (nc == 0 || nr == 0) |
|
|
672 return ComplexDiagMatrix (nr, nc); |
|
|
673 |
|
|
674 return ComplexDiagMatrix (add (m.data (), a.data (), m.length ()), nr, nc); |
|
|
675 } |
|
|
676 |
|
|
677 ComplexDiagMatrix |
|
|
678 operator - (const DiagMatrix& m, const ComplexDiagMatrix& a) |
|
|
679 { |
|
|
680 int nr = m.rows (); |
|
|
681 int nc = m.cols (); |
|
|
682 if (nr != a.rows () || nc != a.cols ()) |
|
|
683 { |
|
|
684 (*current_liboctave_error_handler) |
|
|
685 ("nonconformant matrix subtraction attempted"); |
|
|
686 return ComplexDiagMatrix (); |
|
|
687 } |
|
|
688 |
|
|
689 if (nc == 0 || nr == 0) |
|
|
690 return ComplexDiagMatrix (nr, nc); |
|
|
691 |
|
|
692 return ComplexDiagMatrix (subtract (m.data (), a.data (), m.length ()), |
|
|
693 nr, nc); |
|
|
694 } |
|
|
695 |
|
|
696 ComplexDiagMatrix |
|
|
697 operator * (const DiagMatrix& a, const ComplexDiagMatrix& b) |
|
|
698 { |
|
|
699 int nr_a = a.rows (); |
|
|
700 int nc_a = a.cols (); |
|
|
701 int nr_b = b.rows (); |
|
|
702 int nc_b = b.cols (); |
|
|
703 if (nc_a != nr_b) |
|
|
704 { |
|
|
705 (*current_liboctave_error_handler) |
|
|
706 ("nonconformant matrix multiplication attempted"); |
|
|
707 return ComplexDiagMatrix (); |
|
|
708 } |
|
|
709 |
|
|
710 if (nr_a == 0 || nc_a == 0 || nc_b == 0) |
|
|
711 return ComplexDiagMatrix (nr_a, nc_a, 0.0); |
|
|
712 |
|
|
713 ComplexDiagMatrix c (nr_a, nc_b); |
|
|
714 |
|
|
715 int len = nr_a < nc_b ? nr_a : nc_b; |
|
|
716 |
|
|
717 for (int i = 0; i < len; i++) |
|
|
718 { |
|
|
719 double a_element = a.elem (i, i); |
|
|
720 Complex b_element = b.elem (i, i); |
|
|
721 |
|
|
722 if (a_element == 0.0 || b_element == 0.0) |
|
|
723 c.elem (i, i) = 0.0; |
|
|
724 else if (a_element == 1.0) |
|
|
725 c.elem (i, i) = b_element; |
|
|
726 else if (b_element == 1.0) |
|
|
727 c.elem (i, i) = a_element; |
|
|
728 else |
|
|
729 c.elem (i, i) = a_element * b_element; |
|
|
730 } |
|
|
731 |
|
|
732 return c; |
|
|
733 } |
|
|
734 |
|
|
735 ComplexDiagMatrix |
|
458
|
736 product (const ComplexDiagMatrix& m, const DiagMatrix& a) |
|
|
737 { |
|
|
738 int nr = m.rows (); |
|
|
739 int nc = m.cols (); |
|
|
740 if (nr != a.rows () || nc != a.cols ()) |
|
|
741 { |
|
|
742 (*current_liboctave_error_handler) |
|
|
743 ("nonconformant matrix product attempted"); |
|
|
744 return ComplexDiagMatrix (); |
|
|
745 } |
|
|
746 |
|
|
747 if (nr == 0 || nc == 0) |
|
|
748 return ComplexDiagMatrix (nr, nc); |
|
|
749 |
|
|
750 return ComplexDiagMatrix (multiply (m.data (), a.data (), m.length ()), |
|
|
751 nr, nc); |
|
|
752 } |
|
|
753 |
|
1205
|
754 ComplexDiagMatrix |
|
|
755 product (const DiagMatrix& m, const ComplexDiagMatrix& a) |
|
458
|
756 { |
|
|
757 int nr = m.rows (); |
|
|
758 int nc = m.cols (); |
|
|
759 if (nr != a.rows () || nc != a.cols ()) |
|
|
760 { |
|
|
761 (*current_liboctave_error_handler) |
|
1205
|
762 ("nonconformant matrix product attempted"); |
|
|
763 return ComplexDiagMatrix (); |
|
458
|
764 } |
|
|
765 |
|
1205
|
766 if (nc == 0 || nr == 0) |
|
|
767 return ComplexDiagMatrix (nr, nc); |
|
458
|
768 |
|
1205
|
769 return ComplexDiagMatrix (multiply (m.data (), a.data (), m.length ()), |
|
|
770 nr, nc); |
|
458
|
771 } |
|
|
772 |
|
|
773 // other operations |
|
|
774 |
|
|
775 ComplexColumnVector |
|
|
776 ComplexDiagMatrix::diag (void) const |
|
|
777 { |
|
|
778 return diag (0); |
|
|
779 } |
|
|
780 |
|
|
781 // Could be optimized... |
|
|
782 |
|
|
783 ComplexColumnVector |
|
|
784 ComplexDiagMatrix::diag (int k) const |
|
|
785 { |
|
|
786 int nnr = rows (); |
|
|
787 int nnc = cols (); |
|
|
788 if (k > 0) |
|
|
789 nnc -= k; |
|
|
790 else if (k < 0) |
|
|
791 nnr += k; |
|
|
792 |
|
|
793 ComplexColumnVector d; |
|
|
794 |
|
|
795 if (nnr > 0 && nnc > 0) |
|
|
796 { |
|
|
797 int ndiag = (nnr < nnc) ? nnr : nnc; |
|
|
798 |
|
|
799 d.resize (ndiag); |
|
|
800 |
|
|
801 if (k > 0) |
|
|
802 { |
|
|
803 for (int i = 0; i < ndiag; i++) |
|
|
804 d.elem (i) = elem (i, i+k); |
|
|
805 } |
|
|
806 else if ( k < 0) |
|
|
807 { |
|
|
808 for (int i = 0; i < ndiag; i++) |
|
|
809 d.elem (i) = elem (i-k, i); |
|
|
810 } |
|
|
811 else |
|
|
812 { |
|
|
813 for (int i = 0; i < ndiag; i++) |
|
|
814 d.elem (i) = elem (i, i); |
|
|
815 } |
|
|
816 } |
|
|
817 else |
|
|
818 cerr << "diag: requested diagonal out of range\n"; |
|
|
819 |
|
|
820 return d; |
|
|
821 } |
|
|
822 |
|
|
823 // i/o |
|
|
824 |
|
|
825 ostream& |
|
|
826 operator << (ostream& os, const ComplexDiagMatrix& a) |
|
|
827 { |
|
|
828 Complex ZERO (0.0); |
|
|
829 // int field_width = os.precision () + 7; |
|
|
830 for (int i = 0; i < a.rows (); i++) |
|
|
831 { |
|
|
832 for (int j = 0; j < a.cols (); j++) |
|
|
833 { |
|
|
834 if (i == j) |
|
|
835 os << " " /* setw (field_width) */ << a.elem (i, i); |
|
|
836 else |
|
|
837 os << " " /* setw (field_width) */ << ZERO; |
|
|
838 } |
|
|
839 os << "\n"; |
|
|
840 } |
|
|
841 return os; |
|
|
842 } |
|
|
843 |
|
|
844 /* |
|
|
845 ;;; Local Variables: *** |
|
|
846 ;;; mode: C++ *** |
|
|
847 ;;; page-delimiter: "^/\\*" *** |
|
|
848 ;;; End: *** |
|
|
849 */ |
