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1 // DiagMatrix manipulations. |
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2 /* |
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3 |
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4 Copyright (C) 1996, 1997 John W. Eaton |
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5 |
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6 This file is part of Octave. |
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7 |
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8 Octave is free software; you can redistribute it and/or modify it |
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9 under the terms of the GNU General Public License as published by the |
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10 Free Software Foundation; either version 3 of the License, or (at your |
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11 option) any 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, see |
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20 <http://www.gnu.org/licenses/>. |
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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> |
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29 |
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30 #include "Array-util.h" |
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31 #include "lo-error.h" |
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32 #include "mx-base.h" |
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33 #include "mx-inlines.cc" |
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34 #include "oct-cmplx.h" |
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35 |
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36 // Complex Diagonal Matrix class |
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37 |
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38 ComplexDiagMatrix::ComplexDiagMatrix (const DiagMatrix& a) |
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39 : MDiagArray2<Complex> (a.rows (), a.cols ()) |
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40 { |
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41 for (octave_idx_type i = 0; i < length (); i++) |
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42 elem (i, i) = a.elem (i, i); |
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43 } |
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44 |
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45 bool |
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46 ComplexDiagMatrix::operator == (const ComplexDiagMatrix& a) const |
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47 { |
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48 if (rows () != a.rows () || cols () != a.cols ()) |
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49 return 0; |
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50 |
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51 return mx_inline_equal (data (), a.data (), length ()); |
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52 } |
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53 |
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54 bool |
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55 ComplexDiagMatrix::operator != (const ComplexDiagMatrix& a) const |
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56 { |
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57 return !(*this == a); |
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58 } |
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59 |
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60 ComplexDiagMatrix& |
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61 ComplexDiagMatrix::fill (double val) |
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62 { |
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63 for (octave_idx_type i = 0; i < length (); i++) |
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64 elem (i, i) = val; |
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65 return *this; |
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66 } |
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67 |
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68 ComplexDiagMatrix& |
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69 ComplexDiagMatrix::fill (const Complex& val) |
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70 { |
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71 for (octave_idx_type i = 0; i < length (); i++) |
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72 elem (i, i) = val; |
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73 return *this; |
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74 } |
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75 |
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76 ComplexDiagMatrix& |
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77 ComplexDiagMatrix::fill (double val, octave_idx_type beg, octave_idx_type end) |
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78 { |
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79 if (beg < 0 || end >= length () || end < beg) |
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80 { |
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81 (*current_liboctave_error_handler) ("range error for fill"); |
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82 return *this; |
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83 } |
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84 |
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85 for (octave_idx_type i = beg; i <= end; i++) |
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86 elem (i, i) = val; |
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87 |
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88 return *this; |
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89 } |
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90 |
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91 ComplexDiagMatrix& |
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92 ComplexDiagMatrix::fill (const Complex& val, octave_idx_type beg, octave_idx_type end) |
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93 { |
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94 if (beg < 0 || end >= length () || end < beg) |
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95 { |
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96 (*current_liboctave_error_handler) ("range error for fill"); |
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97 return *this; |
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98 } |
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99 |
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100 for (octave_idx_type i = beg; i <= end; i++) |
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101 elem (i, i) = val; |
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102 |
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103 return *this; |
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104 } |
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105 |
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106 ComplexDiagMatrix& |
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107 ComplexDiagMatrix::fill (const ColumnVector& a) |
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108 { |
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109 octave_idx_type len = length (); |
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110 if (a.length () != len) |
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111 { |
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112 (*current_liboctave_error_handler) ("range error for fill"); |
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113 return *this; |
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114 } |
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115 |
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116 for (octave_idx_type i = 0; i < len; i++) |
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117 elem (i, i) = a.elem (i); |
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118 |
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119 return *this; |
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120 } |
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121 |
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122 ComplexDiagMatrix& |
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123 ComplexDiagMatrix::fill (const ComplexColumnVector& a) |
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124 { |
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125 octave_idx_type len = length (); |
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126 if (a.length () != len) |
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127 { |
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128 (*current_liboctave_error_handler) ("range error for fill"); |
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129 return *this; |
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130 } |
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131 |
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132 for (octave_idx_type i = 0; i < len; i++) |
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133 elem (i, i) = a.elem (i); |
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134 |
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135 return *this; |
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136 } |
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137 |
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138 ComplexDiagMatrix& |
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139 ComplexDiagMatrix::fill (const RowVector& a) |
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140 { |
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141 octave_idx_type len = length (); |
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142 if (a.length () != len) |
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143 { |
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144 (*current_liboctave_error_handler) ("range error for fill"); |
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145 return *this; |
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146 } |
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147 |
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148 for (octave_idx_type i = 0; i < len; i++) |
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149 elem (i, i) = a.elem (i); |
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150 |
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151 return *this; |
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152 } |
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153 |
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154 ComplexDiagMatrix& |
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155 ComplexDiagMatrix::fill (const ComplexRowVector& a) |
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156 { |
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157 octave_idx_type len = length (); |
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158 if (a.length () != len) |
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159 { |
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160 (*current_liboctave_error_handler) ("range error for fill"); |
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161 return *this; |
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162 } |
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163 |
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164 for (octave_idx_type i = 0; i < len; i++) |
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165 elem (i, i) = a.elem (i); |
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166 |
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167 return *this; |
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168 } |
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169 |
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170 ComplexDiagMatrix& |
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171 ComplexDiagMatrix::fill (const ColumnVector& a, octave_idx_type beg) |
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172 { |
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173 octave_idx_type a_len = a.length (); |
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174 if (beg < 0 || beg + a_len >= length ()) |
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175 { |
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176 (*current_liboctave_error_handler) ("range error for fill"); |
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177 return *this; |
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178 } |
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179 |
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180 for (octave_idx_type i = 0; i < a_len; i++) |
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181 elem (i+beg, i+beg) = a.elem (i); |
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182 |
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183 return *this; |
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184 } |
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185 |
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186 ComplexDiagMatrix& |
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187 ComplexDiagMatrix::fill (const ComplexColumnVector& a, octave_idx_type beg) |
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188 { |
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189 octave_idx_type a_len = a.length (); |
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190 if (beg < 0 || beg + a_len >= length ()) |
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191 { |
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192 (*current_liboctave_error_handler) ("range error for fill"); |
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193 return *this; |
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194 } |
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195 |
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196 for (octave_idx_type i = 0; i < a_len; i++) |
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197 elem (i+beg, i+beg) = a.elem (i); |
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198 |
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199 return *this; |
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200 } |
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201 |
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202 ComplexDiagMatrix& |
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203 ComplexDiagMatrix::fill (const RowVector& a, octave_idx_type beg) |
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204 { |
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205 octave_idx_type a_len = a.length (); |
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206 if (beg < 0 || beg + a_len >= length ()) |
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207 { |
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208 (*current_liboctave_error_handler) ("range error for fill"); |
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209 return *this; |
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210 } |
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211 |
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212 for (octave_idx_type i = 0; i < a_len; i++) |
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213 elem (i+beg, i+beg) = a.elem (i); |
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214 |
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215 return *this; |
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216 } |
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217 |
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218 ComplexDiagMatrix& |
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219 ComplexDiagMatrix::fill (const ComplexRowVector& a, octave_idx_type beg) |
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220 { |
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221 octave_idx_type a_len = a.length (); |
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222 if (beg < 0 || beg + a_len >= length ()) |
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223 { |
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224 (*current_liboctave_error_handler) ("range error for fill"); |
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225 return *this; |
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226 } |
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227 |
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228 for (octave_idx_type i = 0; i < a_len; i++) |
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229 elem (i+beg, i+beg) = a.elem (i); |
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230 |
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231 return *this; |
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232 } |
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233 |
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234 ComplexDiagMatrix |
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235 ComplexDiagMatrix::hermitian (void) const |
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236 { |
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237 return ComplexDiagMatrix (mx_inline_conj_dup (data (), length ()), |
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238 cols (), rows ()); |
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239 } |
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240 |
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241 ComplexDiagMatrix |
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242 ComplexDiagMatrix::transpose (void) const |
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243 { |
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244 return ComplexDiagMatrix (mx_inline_dup (data (), length ()), |
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245 cols (), rows ()); |
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246 } |
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247 |
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248 ComplexDiagMatrix |
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249 conj (const ComplexDiagMatrix& a) |
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250 { |
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251 ComplexDiagMatrix retval; |
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252 octave_idx_type a_len = a.length (); |
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253 if (a_len > 0) |
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254 retval = ComplexDiagMatrix (mx_inline_conj_dup (a.data (), a_len), |
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255 a.rows (), a.cols ()); |
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256 return retval; |
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257 } |
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258 |
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259 // resize is the destructive analog for this one |
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260 |
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261 ComplexMatrix |
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262 ComplexDiagMatrix::extract (octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2) const |
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263 { |
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264 if (r1 > r2) { octave_idx_type tmp = r1; r1 = r2; r2 = tmp; } |
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265 if (c1 > c2) { octave_idx_type tmp = c1; c1 = c2; c2 = tmp; } |
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266 |
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267 octave_idx_type new_r = r2 - r1 + 1; |
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268 octave_idx_type new_c = c2 - c1 + 1; |
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269 |
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270 ComplexMatrix result (new_r, new_c); |
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271 |
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272 for (octave_idx_type j = 0; j < new_c; j++) |
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273 for (octave_idx_type i = 0; i < new_r; i++) |
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274 result.elem (i, j) = elem (r1+i, c1+j); |
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275 |
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276 return result; |
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277 } |
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278 |
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279 // extract row or column i. |
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280 |
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281 ComplexRowVector |
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282 ComplexDiagMatrix::row (octave_idx_type i) const |
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283 { |
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284 octave_idx_type r = rows (); |
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285 octave_idx_type c = cols (); |
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286 if (i < 0 || i >= r) |
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287 { |
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288 (*current_liboctave_error_handler) ("invalid row selection"); |
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289 return ComplexRowVector (); |
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290 } |
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291 |
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292 ComplexRowVector retval (c, 0.0); |
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293 if (r <= c || (r > c && i < c)) |
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294 retval.elem (i) = elem (i, i); |
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295 |
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296 return retval; |
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297 } |
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298 |
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299 ComplexRowVector |
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300 ComplexDiagMatrix::row (char *s) const |
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301 { |
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533
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302 if (! s) |
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303 { |
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304 (*current_liboctave_error_handler) ("invalid row selection"); |
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305 return ComplexRowVector (); |
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306 } |
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307 |
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308 char c = *s; |
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309 if (c == 'f' || c == 'F') |
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310 return row (static_cast<octave_idx_type>(0)); |
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311 else if (c == 'l' || c == 'L') |
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312 return row (rows () - 1); |
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313 else |
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314 { |
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315 (*current_liboctave_error_handler) ("invalid row selection"); |
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316 return ComplexRowVector (); |
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317 } |
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318 } |
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319 |
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320 ComplexColumnVector |
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321 ComplexDiagMatrix::column (octave_idx_type i) const |
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322 { |
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323 octave_idx_type r = rows (); |
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324 octave_idx_type c = cols (); |
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325 if (i < 0 || i >= c) |
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458
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326 { |
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327 (*current_liboctave_error_handler) ("invalid column selection"); |
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328 return ComplexColumnVector (); |
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458
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329 } |
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330 |
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331 ComplexColumnVector retval (r, 0.0); |
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332 if (r >= c || (r < c && i < r)) |
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333 retval.elem (i) = elem (i, i); |
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334 |
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335 return retval; |
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336 } |
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337 |
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338 ComplexColumnVector |
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339 ComplexDiagMatrix::column (char *s) const |
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340 { |
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533
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341 if (! s) |
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342 { |
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343 (*current_liboctave_error_handler) ("invalid column selection"); |
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344 return ComplexColumnVector (); |
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458
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345 } |
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346 |
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347 char c = *s; |
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348 if (c == 'f' || c == 'F') |
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349 return column (static_cast<octave_idx_type>(0)); |
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350 else if (c == 'l' || c == 'L') |
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351 return column (cols () - 1); |
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352 else |
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353 { |
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354 (*current_liboctave_error_handler) ("invalid column selection"); |
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3585
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355 return ComplexColumnVector (); |
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458
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356 } |
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357 } |
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358 |
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359 ComplexDiagMatrix |
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360 ComplexDiagMatrix::inverse (void) const |
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361 { |
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362 int info; |
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363 return inverse (info); |
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364 } |
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365 |
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366 ComplexDiagMatrix |
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367 ComplexDiagMatrix::inverse (int& info) const |
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368 { |
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369 octave_idx_type r = rows (); |
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370 octave_idx_type c = cols (); |
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371 if (r != c) |
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458
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372 { |
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373 (*current_liboctave_error_handler) ("inverse requires square matrix"); |
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3585
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374 return ComplexDiagMatrix (); |
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458
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375 } |
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376 |
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3504
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377 ComplexDiagMatrix retval (r, c); |
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458
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378 |
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379 info = 0; |
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5275
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380 for (octave_idx_type i = 0; i < length (); i++) |
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458
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381 { |
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382 if (elem (i, i) == 0.0) |
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383 { |
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384 info = -1; |
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385 return *this; |
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386 } |
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387 else |
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388 retval.elem (i, i) = 1.0 / elem (i, i); |
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389 } |
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390 |
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1627
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391 return retval; |
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458
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392 } |
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393 |
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394 // diagonal matrix by diagonal matrix -> diagonal matrix operations |
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395 |
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396 ComplexDiagMatrix& |
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397 ComplexDiagMatrix::operator += (const DiagMatrix& a) |
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398 { |
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5275
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399 octave_idx_type r = rows (); |
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400 octave_idx_type c = cols (); |
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2386
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401 |
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5275
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402 octave_idx_type a_nr = a.rows (); |
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403 octave_idx_type a_nc = a.cols (); |
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2386
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404 |
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3504
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405 if (r != a_nr || c != a_nc) |
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458
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406 { |
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3504
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407 gripe_nonconformant ("operator +=", r, c, a_nr, a_nc); |
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458
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408 return *this; |
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409 } |
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410 |
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3504
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411 if (r == 0 || c == 0) |
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458
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412 return *this; |
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413 |
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414 Complex *d = fortran_vec (); // Ensures only one reference to my privates! |
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415 |
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3769
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416 mx_inline_add2 (d, a.data (), length ()); |
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458
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417 return *this; |
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418 } |
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419 |
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420 ComplexDiagMatrix |
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421 operator * (const ComplexDiagMatrix& a, const DiagMatrix& b) |
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422 { |
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5275
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423 octave_idx_type a_nr = a.rows (); |
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424 octave_idx_type a_nc = a.cols (); |
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2386
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425 |
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5275
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426 octave_idx_type b_nr = b.rows (); |
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427 octave_idx_type b_nc = b.cols (); |
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2386
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428 |
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3504
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429 if (a_nc != b_nr) |
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458
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430 { |
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3504
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431 gripe_nonconformant ("operator *", a_nr, a_nc, b_nr, b_nc); |
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458
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432 return ComplexDiagMatrix (); |
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433 } |
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434 |
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3504
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435 if (a_nr == 0 || a_nc == 0 || b_nc == 0) |
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436 return ComplexDiagMatrix (a_nr, a_nc, 0.0); |
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458
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437 |
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3504
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438 ComplexDiagMatrix c (a_nr, b_nc); |
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458
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439 |
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5275
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440 octave_idx_type len = a_nr < b_nc ? a_nr : b_nc; |
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458
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441 |
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5275
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442 for (octave_idx_type i = 0; i < len; i++) |
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458
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443 { |
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444 Complex a_element = a.elem (i, i); |
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445 double b_element = b.elem (i, i); |
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446 |
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447 if (a_element == 0.0 || b_element == 0.0) |
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448 c.elem (i, i) = 0.0; |
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449 else if (a_element == 1.0) |
|
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450 c.elem (i, i) = b_element; |
|
|
451 else if (b_element == 1.0) |
|
|
452 c.elem (i, i) = a_element; |
|
|
453 else |
|
|
454 c.elem (i, i) = a_element * b_element; |
|
|
455 } |
|
|
456 |
|
|
457 return c; |
|
|
458 } |
|
|
459 |
|
|
460 ComplexDiagMatrix |
|
1205
|
461 operator * (const DiagMatrix& a, const ComplexDiagMatrix& b) |
|
|
462 { |
|
5275
|
463 octave_idx_type a_nr = a.rows (); |
|
|
464 octave_idx_type a_nc = a.cols (); |
|
2386
|
465 |
|
5275
|
466 octave_idx_type b_nr = b.rows (); |
|
|
467 octave_idx_type b_nc = b.cols (); |
|
2386
|
468 |
|
3504
|
469 if (a_nc != b_nr) |
|
1205
|
470 { |
|
3504
|
471 gripe_nonconformant ("operator *", a_nr, a_nc, b_nr, b_nc); |
|
1205
|
472 return ComplexDiagMatrix (); |
|
|
473 } |
|
|
474 |
|
3504
|
475 if (a_nr == 0 || a_nc == 0 || b_nc == 0) |
|
|
476 return ComplexDiagMatrix (a_nr, a_nc, 0.0); |
|
1205
|
477 |
|
3504
|
478 ComplexDiagMatrix c (a_nr, b_nc); |
|
1205
|
479 |
|
5275
|
480 octave_idx_type len = a_nr < b_nc ? a_nr : b_nc; |
|
1205
|
481 |
|
5275
|
482 for (octave_idx_type i = 0; i < len; i++) |
|
1205
|
483 { |
|
|
484 double a_element = a.elem (i, i); |
|
|
485 Complex b_element = b.elem (i, i); |
|
|
486 |
|
|
487 if (a_element == 0.0 || b_element == 0.0) |
|
|
488 c.elem (i, i) = 0.0; |
|
|
489 else if (a_element == 1.0) |
|
|
490 c.elem (i, i) = b_element; |
|
|
491 else if (b_element == 1.0) |
|
|
492 c.elem (i, i) = a_element; |
|
|
493 else |
|
|
494 c.elem (i, i) = a_element * b_element; |
|
|
495 } |
|
|
496 |
|
|
497 return c; |
|
|
498 } |
|
|
499 |
|
458
|
500 // other operations |
|
|
501 |
|
|
502 ComplexColumnVector |
|
|
503 ComplexDiagMatrix::diag (void) const |
|
|
504 { |
|
|
505 return diag (0); |
|
|
506 } |
|
|
507 |
|
|
508 // Could be optimized... |
|
|
509 |
|
|
510 ComplexColumnVector |
|
5275
|
511 ComplexDiagMatrix::diag (octave_idx_type k) const |
|
458
|
512 { |
|
5275
|
513 octave_idx_type nnr = rows (); |
|
|
514 octave_idx_type nnc = cols (); |
|
458
|
515 if (k > 0) |
|
|
516 nnc -= k; |
|
|
517 else if (k < 0) |
|
|
518 nnr += k; |
|
|
519 |
|
|
520 ComplexColumnVector d; |
|
|
521 |
|
|
522 if (nnr > 0 && nnc > 0) |
|
|
523 { |
|
5275
|
524 octave_idx_type ndiag = (nnr < nnc) ? nnr : nnc; |
|
458
|
525 |
|
|
526 d.resize (ndiag); |
|
|
527 |
|
|
528 if (k > 0) |
|
|
529 { |
|
5275
|
530 for (octave_idx_type i = 0; i < ndiag; i++) |
|
458
|
531 d.elem (i) = elem (i, i+k); |
|
|
532 } |
|
|
533 else if ( k < 0) |
|
|
534 { |
|
5275
|
535 for (octave_idx_type i = 0; i < ndiag; i++) |
|
458
|
536 d.elem (i) = elem (i-k, i); |
|
|
537 } |
|
|
538 else |
|
|
539 { |
|
5275
|
540 for (octave_idx_type i = 0; i < ndiag; i++) |
|
458
|
541 d.elem (i) = elem (i, i); |
|
|
542 } |
|
|
543 } |
|
|
544 else |
|
4513
|
545 (*current_liboctave_error_handler) |
|
|
546 ("diag: requested diagonal out of range"); |
|
458
|
547 |
|
|
548 return d; |
|
|
549 } |
|
|
550 |
|
|
551 // i/o |
|
|
552 |
|
3504
|
553 std::ostream& |
|
|
554 operator << (std::ostream& os, const ComplexDiagMatrix& a) |
|
458
|
555 { |
|
|
556 Complex ZERO (0.0); |
|
|
557 // int field_width = os.precision () + 7; |
|
5275
|
558 for (octave_idx_type i = 0; i < a.rows (); i++) |
|
458
|
559 { |
|
5275
|
560 for (octave_idx_type j = 0; j < a.cols (); j++) |
|
458
|
561 { |
|
|
562 if (i == j) |
|
|
563 os << " " /* setw (field_width) */ << a.elem (i, i); |
|
|
564 else |
|
|
565 os << " " /* setw (field_width) */ << ZERO; |
|
|
566 } |
|
|
567 os << "\n"; |
|
|
568 } |
|
|
569 return os; |
|
|
570 } |
|
|
571 |
|
|
572 /* |
|
|
573 ;;; Local Variables: *** |
|
|
574 ;;; mode: C++ *** |
|
|
575 ;;; End: *** |
|
|
576 */ |
