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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, 675 Mass Ave, Cambridge, MA 02139, USA. |
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21 |
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22 */ |
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23 |
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24 #ifdef HAVE_CONFIG_H |
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25 #include <config.h> |
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26 #endif |
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27 |
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28 #include <iostream.h> |
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29 |
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30 #include <Complex.h> |
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31 |
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32 #include "mx-base.h" |
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33 #include "mx-inlines.cc" |
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34 #include "lo-error.h" |
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35 |
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36 /* |
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37 * Complex Diagonal Matrix class |
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38 */ |
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39 |
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40 #define KLUDGE_DIAG_MATRICES |
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41 #define TYPE Complex |
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42 #define KL_DMAT_TYPE ComplexDiagMatrix |
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43 #include "mx-kludge.cc" |
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44 #undef KLUDGE_DIAG_MATRICES |
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45 #undef TYPE |
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46 #undef KL_DMAT_TYPE |
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47 |
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48 ComplexDiagMatrix::ComplexDiagMatrix (const RowVector& a) |
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49 : DiagArray<Complex> (a.length ()) |
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50 { |
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51 for (int i = 0; i < length (); i++) |
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52 elem (i, i) = a.elem (i); |
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53 } |
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54 |
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55 ComplexDiagMatrix::ComplexDiagMatrix (const ColumnVector& a) |
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56 : DiagArray<Complex> (a.length ()) |
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57 { |
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58 for (int i = 0; i < length (); i++) |
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59 elem (i, i) = a.elem (i); |
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60 } |
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61 |
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62 ComplexDiagMatrix::ComplexDiagMatrix (const DiagMatrix& a) |
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63 : DiagArray<Complex> (a.rows (), a.cols ()) |
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64 { |
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65 for (int i = 0; i < length (); i++) |
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66 elem (i, i) = a.elem (i, i); |
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67 } |
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68 |
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69 int |
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70 ComplexDiagMatrix::operator == (const ComplexDiagMatrix& a) const |
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71 { |
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72 if (rows () != a.rows () || cols () != a.cols ()) |
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73 return 0; |
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74 |
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75 return equal (data (), a.data (), length ()); |
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76 } |
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77 |
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78 int |
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79 ComplexDiagMatrix::operator != (const ComplexDiagMatrix& a) const |
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80 { |
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81 return !(*this == a); |
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82 } |
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83 |
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84 ComplexDiagMatrix& |
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85 ComplexDiagMatrix::fill (double val) |
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86 { |
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87 for (int i = 0; i < length (); i++) |
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88 elem (i, i) = val; |
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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) |
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94 { |
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95 for (int i = 0; i < length (); i++) |
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96 elem (i, i) = val; |
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97 return *this; |
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98 } |
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99 |
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100 ComplexDiagMatrix& |
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101 ComplexDiagMatrix::fill (double val, int beg, int end) |
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102 { |
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103 if (beg < 0 || end >= length () || end < beg) |
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104 { |
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105 (*current_liboctave_error_handler) ("range error for fill"); |
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106 return *this; |
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107 } |
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108 |
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109 for (int i = beg; i < end; i++) |
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110 elem (i, i) = val; |
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111 |
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112 return *this; |
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113 } |
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114 |
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115 ComplexDiagMatrix& |
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116 ComplexDiagMatrix::fill (const Complex& val, int beg, int end) |
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117 { |
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118 if (beg < 0 || end >= length () || end < beg) |
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119 { |
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120 (*current_liboctave_error_handler) ("range error for fill"); |
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121 return *this; |
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122 } |
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123 |
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124 for (int i = beg; i < end; i++) |
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125 elem (i, i) = val; |
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126 |
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127 return *this; |
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128 } |
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129 |
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130 ComplexDiagMatrix& |
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131 ComplexDiagMatrix::fill (const ColumnVector& a) |
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132 { |
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133 int len = length (); |
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134 if (a.length () != len) |
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135 { |
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136 (*current_liboctave_error_handler) ("range error for fill"); |
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137 return *this; |
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138 } |
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139 |
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140 for (int i = 0; i < len; i++) |
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141 elem (i, i) = a.elem (i); |
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142 |
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143 return *this; |
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144 } |
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145 |
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146 ComplexDiagMatrix& |
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147 ComplexDiagMatrix::fill (const ComplexColumnVector& a) |
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148 { |
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149 int len = length (); |
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150 if (a.length () != len) |
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151 { |
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152 (*current_liboctave_error_handler) ("range error for fill"); |
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153 return *this; |
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154 } |
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155 |
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156 for (int i = 0; i < len; i++) |
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157 elem (i, i) = a.elem (i); |
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158 |
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159 return *this; |
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160 } |
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161 |
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162 ComplexDiagMatrix& |
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163 ComplexDiagMatrix::fill (const RowVector& a) |
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164 { |
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165 int len = length (); |
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166 if (a.length () != len) |
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167 { |
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168 (*current_liboctave_error_handler) ("range error for fill"); |
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169 return *this; |
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170 } |
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171 |
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172 for (int i = 0; i < len; i++) |
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173 elem (i, i) = a.elem (i); |
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174 |
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175 return *this; |
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176 } |
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177 |
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178 ComplexDiagMatrix& |
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179 ComplexDiagMatrix::fill (const ComplexRowVector& a) |
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180 { |
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181 int len = length (); |
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182 if (a.length () != len) |
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183 { |
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184 (*current_liboctave_error_handler) ("range error for fill"); |
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185 return *this; |
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186 } |
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187 |
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188 for (int i = 0; i < len; i++) |
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189 elem (i, i) = a.elem (i); |
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190 |
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191 return *this; |
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192 } |
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193 |
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194 ComplexDiagMatrix& |
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195 ComplexDiagMatrix::fill (const ColumnVector& a, int beg) |
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196 { |
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197 int a_len = a.length (); |
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198 if (beg < 0 || beg + a_len >= length ()) |
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199 { |
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200 (*current_liboctave_error_handler) ("range error for fill"); |
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201 return *this; |
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202 } |
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203 |
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204 for (int i = 0; i < a_len; i++) |
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205 elem (i+beg, i+beg) = a.elem (i); |
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206 |
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207 return *this; |
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208 } |
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209 |
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210 ComplexDiagMatrix& |
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211 ComplexDiagMatrix::fill (const ComplexColumnVector& a, int beg) |
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212 { |
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213 int a_len = a.length (); |
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214 if (beg < 0 || beg + a_len >= length ()) |
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215 { |
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216 (*current_liboctave_error_handler) ("range error for fill"); |
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217 return *this; |
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218 } |
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219 |
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220 for (int i = 0; i < a_len; i++) |
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221 elem (i+beg, i+beg) = a.elem (i); |
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222 |
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223 return *this; |
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224 } |
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225 |
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226 ComplexDiagMatrix& |
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227 ComplexDiagMatrix::fill (const RowVector& a, int beg) |
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228 { |
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229 int a_len = a.length (); |
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230 if (beg < 0 || beg + a_len >= length ()) |
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231 { |
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232 (*current_liboctave_error_handler) ("range error for fill"); |
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233 return *this; |
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234 } |
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235 |
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236 for (int i = 0; i < a_len; i++) |
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237 elem (i+beg, i+beg) = a.elem (i); |
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238 |
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239 return *this; |
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240 } |
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241 |
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242 ComplexDiagMatrix& |
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243 ComplexDiagMatrix::fill (const ComplexRowVector& a, int beg) |
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244 { |
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245 int a_len = a.length (); |
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246 if (beg < 0 || beg + a_len >= length ()) |
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247 { |
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248 (*current_liboctave_error_handler) ("range error for fill"); |
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249 return *this; |
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250 } |
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251 |
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252 for (int i = 0; i < a_len; i++) |
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253 elem (i+beg, i+beg) = a.elem (i); |
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254 |
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255 return *this; |
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256 } |
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257 |
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258 ComplexDiagMatrix |
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259 ComplexDiagMatrix::hermitian (void) const |
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260 { |
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261 return ComplexDiagMatrix (conj_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 ComplexDiagMatrix::transpose (void) const |
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266 { |
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267 return ComplexDiagMatrix (dup (data (), length ()), cols (), rows ()); |
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268 } |
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269 |
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270 ComplexDiagMatrix |
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271 conj (const ComplexDiagMatrix& a) |
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272 { |
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273 ComplexDiagMatrix retval; |
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274 int a_len = a.length (); |
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275 if (a_len > 0) |
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276 retval = ComplexDiagMatrix (conj_dup (a.data (), a_len), |
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277 a.rows (), a.cols ()); |
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278 return retval; |
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279 } |
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280 |
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281 // resize is the destructive analog for this one |
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282 |
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283 ComplexMatrix |
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284 ComplexDiagMatrix::extract (int r1, int c1, int r2, int c2) const |
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285 { |
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286 if (r1 > r2) { int tmp = r1; r1 = r2; r2 = tmp; } |
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287 if (c1 > c2) { int tmp = c1; c1 = c2; c2 = tmp; } |
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288 |
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289 int new_r = r2 - r1 + 1; |
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290 int new_c = c2 - c1 + 1; |
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291 |
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292 ComplexMatrix result (new_r, new_c); |
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293 |
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294 for (int j = 0; j < new_c; j++) |
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295 for (int i = 0; i < new_r; i++) |
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296 result.elem (i, j) = elem (r1+i, c1+j); |
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297 |
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298 return result; |
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299 } |
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300 |
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301 // extract row or column i. |
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302 |
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303 ComplexRowVector |
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304 ComplexDiagMatrix::row (int i) const |
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305 { |
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306 int nr = rows (); |
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307 int nc = cols (); |
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308 if (i < 0 || i >= nr) |
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309 { |
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310 (*current_liboctave_error_handler) ("invalid row selection"); |
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311 return RowVector (); |
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312 } |
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313 |
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314 ComplexRowVector retval (nc, 0.0); |
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315 if (nr <= nc || (nr > nc && i < nc)) |
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316 retval.elem (i) = elem (i, i); |
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317 |
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318 return retval; |
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319 } |
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320 |
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321 ComplexRowVector |
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322 ComplexDiagMatrix::row (char *s) const |
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323 { |
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533
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324 if (! s) |
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325 { |
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326 (*current_liboctave_error_handler) ("invalid row selection"); |
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327 return ComplexRowVector (); |
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328 } |
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329 |
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330 char c = *s; |
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331 if (c == 'f' || c == 'F') |
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332 return row (0); |
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333 else if (c == 'l' || c == 'L') |
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334 return row (rows () - 1); |
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335 else |
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336 { |
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337 (*current_liboctave_error_handler) ("invalid row selection"); |
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338 return ComplexRowVector (); |
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339 } |
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340 } |
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341 |
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342 ComplexColumnVector |
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343 ComplexDiagMatrix::column (int i) const |
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344 { |
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345 int nr = rows (); |
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346 int nc = cols (); |
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347 if (i < 0 || i >= nc) |
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348 { |
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349 (*current_liboctave_error_handler) ("invalid column selection"); |
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350 return ColumnVector (); |
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351 } |
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352 |
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353 ComplexColumnVector retval (nr, 0.0); |
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354 if (nr >= nc || (nr < nc && i < nr)) |
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355 retval.elem (i) = elem (i, i); |
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356 |
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357 return retval; |
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358 } |
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359 |
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360 ComplexColumnVector |
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361 ComplexDiagMatrix::column (char *s) const |
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362 { |
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533
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363 if (! s) |
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364 { |
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365 (*current_liboctave_error_handler) ("invalid column selection"); |
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366 return ColumnVector (); |
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367 } |
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368 |
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369 char c = *s; |
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370 if (c == 'f' || c == 'F') |
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371 return column (0); |
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372 else if (c == 'l' || c == 'L') |
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373 return column (cols () - 1); |
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374 else |
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375 { |
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376 (*current_liboctave_error_handler) ("invalid column selection"); |
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377 return ColumnVector (); |
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378 } |
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379 } |
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380 |
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381 ComplexDiagMatrix |
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382 ComplexDiagMatrix::inverse (void) const |
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383 { |
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384 int info; |
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385 return inverse (info); |
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386 } |
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387 |
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388 ComplexDiagMatrix |
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389 ComplexDiagMatrix::inverse (int& info) const |
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390 { |
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391 int nr = rows (); |
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392 int nc = cols (); |
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393 if (nr != nc) |
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394 { |
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395 (*current_liboctave_error_handler) ("inverse requires square matrix"); |
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396 return DiagMatrix (); |
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397 } |
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398 |
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399 ComplexDiagMatrix retval (nr, nc); |
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400 |
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401 info = 0; |
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402 for (int i = 0; i < length (); i++) |
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403 { |
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404 if (elem (i, i) == 0.0) |
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405 { |
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406 info = -1; |
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407 return *this; |
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408 } |
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409 else |
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410 retval.elem (i, i) = 1.0 / elem (i, i); |
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411 } |
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412 |
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413 return *this; |
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414 } |
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415 |
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416 // diagonal matrix by diagonal matrix -> diagonal matrix operations |
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417 |
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418 ComplexDiagMatrix& |
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419 ComplexDiagMatrix::operator += (const DiagMatrix& a) |
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420 { |
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421 int nr = rows (); |
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422 int nc = cols (); |
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423 if (nr != a.rows () || nc != a.cols ()) |
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424 { |
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425 (*current_liboctave_error_handler) |
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426 ("nonconformant matrix += operation attempted"); |
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427 return *this; |
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428 } |
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429 |
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430 if (nr == 0 || nc == 0) |
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431 return *this; |
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432 |
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433 Complex *d = fortran_vec (); // Ensures only one reference to my privates! |
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434 |
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435 add2 (d, a.data (), length ()); |
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436 return *this; |
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437 } |
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438 |
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439 ComplexDiagMatrix& |
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440 ComplexDiagMatrix::operator -= (const DiagMatrix& a) |
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441 { |
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442 int nr = rows (); |
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443 int nc = cols (); |
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444 if (nr != a.rows () || nc != a.cols ()) |
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445 { |
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446 (*current_liboctave_error_handler) |
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447 ("nonconformant matrix -= operation attempted"); |
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448 return *this; |
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449 } |
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450 |
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451 if (nr == 0 || nc == 0) |
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452 return *this; |
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453 |
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454 Complex *d = fortran_vec (); // Ensures only one reference to my privates! |
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455 |
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456 subtract2 (d, a.data (), length ()); |
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457 return *this; |
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458 } |
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459 |
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460 ComplexDiagMatrix& |
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461 ComplexDiagMatrix::operator += (const ComplexDiagMatrix& a) |
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462 { |
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463 int nr = rows (); |
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464 int nc = cols (); |
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465 if (nr != a.rows () || nc != a.cols ()) |
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466 { |
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467 (*current_liboctave_error_handler) |
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468 ("nonconformant matrix += operation attempted"); |
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469 return *this; |
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470 } |
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471 |
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472 if (nr == 0 || nc == 0) |
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473 return *this; |
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474 |
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475 Complex *d = fortran_vec (); // Ensures only one reference to my privates! |
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476 |
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477 add2 (d, a.data (), length ()); |
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478 return *this; |
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479 } |
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480 |
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481 ComplexDiagMatrix& |
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482 ComplexDiagMatrix::operator -= (const ComplexDiagMatrix& a) |
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483 { |
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484 int nr = rows (); |
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485 int nc = cols (); |
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486 if (nr != a.rows () || nc != a.cols ()) |
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487 { |
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488 (*current_liboctave_error_handler) |
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489 ("nonconformant matrix -= operation attempted"); |
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490 return *this; |
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491 } |
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492 |
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493 if (nr == 0 || nc == 0) |
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494 return *this; |
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495 |
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496 Complex *d = fortran_vec (); // Ensures only one reference to my privates! |
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497 |
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498 subtract2 (d, a.data (), length ()); |
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499 return *this; |
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500 } |
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501 |
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502 // diagonal matrix by scalar -> diagonal matrix operations |
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503 |
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504 ComplexDiagMatrix |
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505 operator * (const ComplexDiagMatrix& a, double s) |
|
|
506 { |
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|
507 return ComplexDiagMatrix (multiply (a.data (), a.length (), s), |
|
|
508 a.rows (), a.cols ()); |
|
|
509 } |
|
|
510 |
|
|
511 ComplexDiagMatrix |
|
|
512 operator / (const ComplexDiagMatrix& a, double s) |
|
|
513 { |
|
|
514 return ComplexDiagMatrix (divide (a.data (), a.length (), s), |
|
|
515 a.rows (), a.cols ()); |
|
|
516 } |
|
|
517 |
|
1205
|
518 ComplexDiagMatrix |
|
|
519 operator * (const DiagMatrix& a, const Complex& s) |
|
458
|
520 { |
|
1205
|
521 return ComplexDiagMatrix (multiply (a.data (), a.length (), s), |
|
|
522 a.rows (), a.cols ()); |
|
458
|
523 } |
|
|
524 |
|
1205
|
525 ComplexDiagMatrix |
|
|
526 operator / (const DiagMatrix& a, const Complex& s) |
|
458
|
527 { |
|
1205
|
528 return ComplexDiagMatrix (divide (a.data (), a.length (), s), |
|
|
529 a.rows (), a.cols ()); |
|
458
|
530 } |
|
|
531 |
|
|
532 // scalar by diagonal matrix -> diagonal matrix operations |
|
|
533 |
|
|
534 ComplexDiagMatrix |
|
|
535 operator * (double s, const ComplexDiagMatrix& a) |
|
|
536 { |
|
|
537 return ComplexDiagMatrix (multiply (a.data (), a.length (), s), |
|
|
538 a.rows (), a.cols ()); |
|
|
539 } |
|
|
540 |
|
1205
|
541 ComplexDiagMatrix |
|
|
542 operator * (const Complex& s, const DiagMatrix& a) |
|
458
|
543 { |
|
1205
|
544 return ComplexDiagMatrix (multiply (a.data (), a.length (), s), |
|
|
545 a.rows (), a.cols ()); |
|
458
|
546 } |
|
|
547 |
|
|
548 // diagonal matrix by diagonal matrix -> diagonal matrix operations |
|
|
549 |
|
|
550 ComplexDiagMatrix |
|
|
551 operator * (const ComplexDiagMatrix& a, const ComplexDiagMatrix& b) |
|
|
552 { |
|
|
553 int nr_a = a.rows (); |
|
|
554 int nc_a = a.cols (); |
|
|
555 int nr_b = b.rows (); |
|
|
556 int nc_b = b.cols (); |
|
|
557 if (nc_a != nr_b) |
|
|
558 { |
|
|
559 (*current_liboctave_error_handler) |
|
|
560 ("nonconformant matrix multiplication attempted"); |
|
|
561 return ComplexDiagMatrix (); |
|
|
562 } |
|
|
563 |
|
|
564 if (nr_a == 0 || nc_a == 0 || nc_b == 0) |
|
|
565 return ComplexDiagMatrix (nr_a, nc_a, 0.0); |
|
|
566 |
|
|
567 ComplexDiagMatrix c (nr_a, nc_b); |
|
|
568 |
|
|
569 int len = nr_a < nc_b ? nr_a : nc_b; |
|
|
570 |
|
|
571 for (int i = 0; i < len; i++) |
|
|
572 { |
|
|
573 Complex a_element = a.elem (i, i); |
|
|
574 Complex b_element = b.elem (i, i); |
|
|
575 |
|
|
576 if (a_element == 0.0 || b_element == 0.0) |
|
|
577 c.elem (i, i) = 0.0; |
|
|
578 else if (a_element == 1.0) |
|
|
579 c.elem (i, i) = b_element; |
|
|
580 else if (b_element == 1.0) |
|
|
581 c.elem (i, i) = a_element; |
|
|
582 else |
|
|
583 c.elem (i, i) = a_element * b_element; |
|
|
584 } |
|
|
585 |
|
|
586 return c; |
|
|
587 } |
|
|
588 |
|
|
589 ComplexDiagMatrix |
|
|
590 operator + (const ComplexDiagMatrix& m, const DiagMatrix& a) |
|
|
591 { |
|
|
592 int nr = m.rows (); |
|
|
593 int nc = m.cols (); |
|
|
594 if (nr != a.rows () || nc != a.cols ()) |
|
|
595 { |
|
|
596 (*current_liboctave_error_handler) |
|
|
597 ("nonconformant matrix addition attempted"); |
|
|
598 return ComplexDiagMatrix (); |
|
|
599 } |
|
|
600 |
|
|
601 if (nr == 0 || nc == 0) |
|
|
602 return ComplexDiagMatrix (nr, nc); |
|
|
603 |
|
|
604 return ComplexDiagMatrix (add (m.data (), a.data (), m.length ()), nr, nc); |
|
|
605 } |
|
|
606 |
|
|
607 ComplexDiagMatrix |
|
|
608 operator - (const ComplexDiagMatrix& m, const DiagMatrix& a) |
|
|
609 { |
|
|
610 int nr = m.rows (); |
|
|
611 int nc = m.cols (); |
|
|
612 if (nr != a.rows () || nc != a.cols ()) |
|
|
613 { |
|
|
614 (*current_liboctave_error_handler) |
|
|
615 ("nonconformant matrix subtraction attempted"); |
|
|
616 return ComplexDiagMatrix (); |
|
|
617 } |
|
|
618 |
|
|
619 if (nr == 0 || nc == 0) |
|
|
620 return ComplexDiagMatrix (nr, nc); |
|
|
621 |
|
|
622 return ComplexDiagMatrix (subtract (m.data (), a.data (), m.length ()), |
|
|
623 nr, nc); |
|
|
624 } |
|
|
625 |
|
|
626 ComplexDiagMatrix |
|
|
627 operator * (const ComplexDiagMatrix& a, const DiagMatrix& b) |
|
|
628 { |
|
|
629 int nr_a = a.rows (); |
|
|
630 int nc_a = a.cols (); |
|
|
631 int nr_b = b.rows (); |
|
|
632 int nc_b = b.cols (); |
|
|
633 if (nc_a != nr_b) |
|
|
634 { |
|
|
635 (*current_liboctave_error_handler) |
|
|
636 ("nonconformant matrix multiplication attempted"); |
|
|
637 return ComplexDiagMatrix (); |
|
|
638 } |
|
|
639 |
|
|
640 if (nr_a == 0 || nc_a == 0 || nc_b == 0) |
|
|
641 return ComplexDiagMatrix (nr_a, nc_a, 0.0); |
|
|
642 |
|
|
643 ComplexDiagMatrix c (nr_a, nc_b); |
|
|
644 |
|
|
645 int len = nr_a < nc_b ? nr_a : nc_b; |
|
|
646 |
|
|
647 for (int i = 0; i < len; i++) |
|
|
648 { |
|
|
649 Complex a_element = a.elem (i, i); |
|
|
650 double b_element = b.elem (i, i); |
|
|
651 |
|
|
652 if (a_element == 0.0 || b_element == 0.0) |
|
|
653 c.elem (i, i) = 0.0; |
|
|
654 else if (a_element == 1.0) |
|
|
655 c.elem (i, i) = b_element; |
|
|
656 else if (b_element == 1.0) |
|
|
657 c.elem (i, i) = a_element; |
|
|
658 else |
|
|
659 c.elem (i, i) = a_element * b_element; |
|
|
660 } |
|
|
661 |
|
|
662 return c; |
|
|
663 } |
|
|
664 |
|
|
665 ComplexDiagMatrix |
|
1205
|
666 operator + (const DiagMatrix& m, const ComplexDiagMatrix& a) |
|
|
667 { |
|
|
668 int nr = m.rows (); |
|
|
669 int nc = m.cols (); |
|
|
670 if (nr != a.rows () || nc != a.cols ()) |
|
|
671 { |
|
|
672 (*current_liboctave_error_handler) |
|
|
673 ("nonconformant matrix addition attempted"); |
|
|
674 return ComplexDiagMatrix (); |
|
|
675 } |
|
|
676 |
|
|
677 if (nc == 0 || nr == 0) |
|
|
678 return ComplexDiagMatrix (nr, nc); |
|
|
679 |
|
|
680 return ComplexDiagMatrix (add (m.data (), a.data (), m.length ()), nr, nc); |
|
|
681 } |
|
|
682 |
|
|
683 ComplexDiagMatrix |
|
|
684 operator - (const DiagMatrix& m, const ComplexDiagMatrix& a) |
|
|
685 { |
|
|
686 int nr = m.rows (); |
|
|
687 int nc = m.cols (); |
|
|
688 if (nr != a.rows () || nc != a.cols ()) |
|
|
689 { |
|
|
690 (*current_liboctave_error_handler) |
|
|
691 ("nonconformant matrix subtraction attempted"); |
|
|
692 return ComplexDiagMatrix (); |
|
|
693 } |
|
|
694 |
|
|
695 if (nc == 0 || nr == 0) |
|
|
696 return ComplexDiagMatrix (nr, nc); |
|
|
697 |
|
|
698 return ComplexDiagMatrix (subtract (m.data (), a.data (), m.length ()), |
|
|
699 nr, nc); |
|
|
700 } |
|
|
701 |
|
|
702 ComplexDiagMatrix |
|
|
703 operator * (const DiagMatrix& a, const ComplexDiagMatrix& b) |
|
|
704 { |
|
|
705 int nr_a = a.rows (); |
|
|
706 int nc_a = a.cols (); |
|
|
707 int nr_b = b.rows (); |
|
|
708 int nc_b = b.cols (); |
|
|
709 if (nc_a != nr_b) |
|
|
710 { |
|
|
711 (*current_liboctave_error_handler) |
|
|
712 ("nonconformant matrix multiplication attempted"); |
|
|
713 return ComplexDiagMatrix (); |
|
|
714 } |
|
|
715 |
|
|
716 if (nr_a == 0 || nc_a == 0 || nc_b == 0) |
|
|
717 return ComplexDiagMatrix (nr_a, nc_a, 0.0); |
|
|
718 |
|
|
719 ComplexDiagMatrix c (nr_a, nc_b); |
|
|
720 |
|
|
721 int len = nr_a < nc_b ? nr_a : nc_b; |
|
|
722 |
|
|
723 for (int i = 0; i < len; i++) |
|
|
724 { |
|
|
725 double a_element = a.elem (i, i); |
|
|
726 Complex b_element = b.elem (i, i); |
|
|
727 |
|
|
728 if (a_element == 0.0 || b_element == 0.0) |
|
|
729 c.elem (i, i) = 0.0; |
|
|
730 else if (a_element == 1.0) |
|
|
731 c.elem (i, i) = b_element; |
|
|
732 else if (b_element == 1.0) |
|
|
733 c.elem (i, i) = a_element; |
|
|
734 else |
|
|
735 c.elem (i, i) = a_element * b_element; |
|
|
736 } |
|
|
737 |
|
|
738 return c; |
|
|
739 } |
|
|
740 |
|
|
741 ComplexDiagMatrix |
|
458
|
742 product (const ComplexDiagMatrix& m, const DiagMatrix& a) |
|
|
743 { |
|
|
744 int nr = m.rows (); |
|
|
745 int nc = m.cols (); |
|
|
746 if (nr != a.rows () || nc != a.cols ()) |
|
|
747 { |
|
|
748 (*current_liboctave_error_handler) |
|
|
749 ("nonconformant matrix product attempted"); |
|
|
750 return ComplexDiagMatrix (); |
|
|
751 } |
|
|
752 |
|
|
753 if (nr == 0 || nc == 0) |
|
|
754 return ComplexDiagMatrix (nr, nc); |
|
|
755 |
|
|
756 return ComplexDiagMatrix (multiply (m.data (), a.data (), m.length ()), |
|
|
757 nr, nc); |
|
|
758 } |
|
|
759 |
|
1205
|
760 ComplexDiagMatrix |
|
|
761 product (const DiagMatrix& m, const ComplexDiagMatrix& a) |
|
458
|
762 { |
|
|
763 int nr = m.rows (); |
|
|
764 int nc = m.cols (); |
|
|
765 if (nr != a.rows () || nc != a.cols ()) |
|
|
766 { |
|
|
767 (*current_liboctave_error_handler) |
|
1205
|
768 ("nonconformant matrix product attempted"); |
|
|
769 return ComplexDiagMatrix (); |
|
458
|
770 } |
|
|
771 |
|
1205
|
772 if (nc == 0 || nr == 0) |
|
|
773 return ComplexDiagMatrix (nr, nc); |
|
458
|
774 |
|
1205
|
775 return ComplexDiagMatrix (multiply (m.data (), a.data (), m.length ()), |
|
|
776 nr, nc); |
|
458
|
777 } |
|
|
778 |
|
|
779 // other operations |
|
|
780 |
|
|
781 ComplexColumnVector |
|
|
782 ComplexDiagMatrix::diag (void) const |
|
|
783 { |
|
|
784 return diag (0); |
|
|
785 } |
|
|
786 |
|
|
787 // Could be optimized... |
|
|
788 |
|
|
789 ComplexColumnVector |
|
|
790 ComplexDiagMatrix::diag (int k) const |
|
|
791 { |
|
|
792 int nnr = rows (); |
|
|
793 int nnc = cols (); |
|
|
794 if (k > 0) |
|
|
795 nnc -= k; |
|
|
796 else if (k < 0) |
|
|
797 nnr += k; |
|
|
798 |
|
|
799 ComplexColumnVector d; |
|
|
800 |
|
|
801 if (nnr > 0 && nnc > 0) |
|
|
802 { |
|
|
803 int ndiag = (nnr < nnc) ? nnr : nnc; |
|
|
804 |
|
|
805 d.resize (ndiag); |
|
|
806 |
|
|
807 if (k > 0) |
|
|
808 { |
|
|
809 for (int i = 0; i < ndiag; i++) |
|
|
810 d.elem (i) = elem (i, i+k); |
|
|
811 } |
|
|
812 else if ( k < 0) |
|
|
813 { |
|
|
814 for (int i = 0; i < ndiag; i++) |
|
|
815 d.elem (i) = elem (i-k, i); |
|
|
816 } |
|
|
817 else |
|
|
818 { |
|
|
819 for (int i = 0; i < ndiag; i++) |
|
|
820 d.elem (i) = elem (i, i); |
|
|
821 } |
|
|
822 } |
|
|
823 else |
|
|
824 cerr << "diag: requested diagonal out of range\n"; |
|
|
825 |
|
|
826 return d; |
|
|
827 } |
|
|
828 |
|
|
829 // i/o |
|
|
830 |
|
|
831 ostream& |
|
|
832 operator << (ostream& os, const ComplexDiagMatrix& a) |
|
|
833 { |
|
|
834 Complex ZERO (0.0); |
|
|
835 // int field_width = os.precision () + 7; |
|
|
836 for (int i = 0; i < a.rows (); i++) |
|
|
837 { |
|
|
838 for (int j = 0; j < a.cols (); j++) |
|
|
839 { |
|
|
840 if (i == j) |
|
|
841 os << " " /* setw (field_width) */ << a.elem (i, i); |
|
|
842 else |
|
|
843 os << " " /* setw (field_width) */ << ZERO; |
|
|
844 } |
|
|
845 os << "\n"; |
|
|
846 } |
|
|
847 return os; |
|
|
848 } |
|
|
849 |
|
|
850 /* |
|
|
851 ;;; Local Variables: *** |
|
|
852 ;;; mode: C++ *** |
|
|
853 ;;; page-delimiter: "^/\\*" *** |
|
|
854 ;;; End: *** |
|
|
855 */ |
