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1 // DiagMatrix manipulations. |
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2 /* |
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3 |
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4 Copyright (C) 1994, 1995, 1996, 1997, 2000, 2001, 2002, 2003, 2004, |
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5 2005, 2007 John W. Eaton |
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6 |
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7 This file is part of Octave. |
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8 |
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9 Octave is free software; you can redistribute it and/or modify it |
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10 under the terms of the GNU General Public License as published by the |
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11 Free Software Foundation; either version 3 of the License, or (at your |
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12 option) any later version. |
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13 |
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14 Octave is distributed in the hope that it will be useful, but WITHOUT |
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15 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or |
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16 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License |
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17 for more details. |
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18 |
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19 You should have received a copy of the GNU General Public License |
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20 along with Octave; see the file COPYING. If not, see |
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21 <http://www.gnu.org/licenses/>. |
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22 |
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23 */ |
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24 |
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25 #ifdef HAVE_CONFIG_H |
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26 #include <config.h> |
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27 #endif |
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28 |
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29 #include <iostream> |
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30 |
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31 #include "Array-util.h" |
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32 #include "lo-error.h" |
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33 #include "mx-base.h" |
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34 #include "mx-inlines.cc" |
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35 #include "oct-cmplx.h" |
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36 |
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37 // Complex Diagonal Matrix class |
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38 |
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39 ComplexDiagMatrix::ComplexDiagMatrix (const DiagMatrix& a) |
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40 : MDiagArray2<Complex> (a.rows (), a.cols ()) |
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41 { |
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42 for (octave_idx_type i = 0; i < length (); i++) |
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43 elem (i, i) = a.elem (i, i); |
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44 } |
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45 |
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46 bool |
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47 ComplexDiagMatrix::operator == (const ComplexDiagMatrix& a) const |
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48 { |
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49 if (rows () != a.rows () || cols () != a.cols ()) |
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50 return 0; |
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51 |
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52 return mx_inline_equal (data (), a.data (), length ()); |
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53 } |
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54 |
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55 bool |
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56 ComplexDiagMatrix::operator != (const ComplexDiagMatrix& a) const |
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57 { |
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58 return !(*this == a); |
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59 } |
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60 |
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61 ComplexDiagMatrix& |
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62 ComplexDiagMatrix::fill (double val) |
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63 { |
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64 for (octave_idx_type i = 0; i < length (); i++) |
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65 elem (i, i) = val; |
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66 return *this; |
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67 } |
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68 |
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69 ComplexDiagMatrix& |
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70 ComplexDiagMatrix::fill (const Complex& val) |
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71 { |
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72 for (octave_idx_type i = 0; i < length (); i++) |
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73 elem (i, i) = val; |
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74 return *this; |
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75 } |
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76 |
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77 ComplexDiagMatrix& |
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78 ComplexDiagMatrix::fill (double val, octave_idx_type beg, octave_idx_type end) |
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79 { |
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80 if (beg < 0 || end >= length () || end < beg) |
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81 { |
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82 (*current_liboctave_error_handler) ("range error for fill"); |
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83 return *this; |
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84 } |
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85 |
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86 for (octave_idx_type i = beg; i <= end; i++) |
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87 elem (i, i) = val; |
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88 |
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89 return *this; |
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90 } |
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91 |
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92 ComplexDiagMatrix& |
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93 ComplexDiagMatrix::fill (const Complex& val, octave_idx_type beg, octave_idx_type end) |
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94 { |
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95 if (beg < 0 || end >= length () || end < beg) |
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96 { |
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97 (*current_liboctave_error_handler) ("range error for fill"); |
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98 return *this; |
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99 } |
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100 |
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101 for (octave_idx_type i = beg; i <= end; i++) |
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102 elem (i, i) = val; |
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103 |
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104 return *this; |
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105 } |
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106 |
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107 ComplexDiagMatrix& |
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108 ComplexDiagMatrix::fill (const ColumnVector& a) |
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109 { |
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110 octave_idx_type len = length (); |
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111 if (a.length () != len) |
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112 { |
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113 (*current_liboctave_error_handler) ("range error for fill"); |
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114 return *this; |
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115 } |
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116 |
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117 for (octave_idx_type i = 0; i < len; i++) |
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118 elem (i, i) = a.elem (i); |
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119 |
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120 return *this; |
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121 } |
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122 |
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123 ComplexDiagMatrix& |
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124 ComplexDiagMatrix::fill (const ComplexColumnVector& a) |
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125 { |
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126 octave_idx_type len = length (); |
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127 if (a.length () != len) |
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128 { |
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129 (*current_liboctave_error_handler) ("range error for fill"); |
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130 return *this; |
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131 } |
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132 |
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133 for (octave_idx_type i = 0; i < len; i++) |
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134 elem (i, i) = a.elem (i); |
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135 |
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136 return *this; |
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137 } |
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138 |
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139 ComplexDiagMatrix& |
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140 ComplexDiagMatrix::fill (const RowVector& a) |
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141 { |
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142 octave_idx_type len = length (); |
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143 if (a.length () != len) |
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144 { |
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145 (*current_liboctave_error_handler) ("range error for fill"); |
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146 return *this; |
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147 } |
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148 |
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149 for (octave_idx_type i = 0; i < len; i++) |
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150 elem (i, i) = a.elem (i); |
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151 |
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152 return *this; |
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153 } |
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154 |
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155 ComplexDiagMatrix& |
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156 ComplexDiagMatrix::fill (const ComplexRowVector& a) |
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157 { |
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158 octave_idx_type len = length (); |
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159 if (a.length () != len) |
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160 { |
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161 (*current_liboctave_error_handler) ("range error for fill"); |
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162 return *this; |
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163 } |
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164 |
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165 for (octave_idx_type i = 0; i < len; i++) |
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166 elem (i, i) = a.elem (i); |
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167 |
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168 return *this; |
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169 } |
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170 |
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171 ComplexDiagMatrix& |
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172 ComplexDiagMatrix::fill (const ColumnVector& a, octave_idx_type beg) |
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173 { |
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174 octave_idx_type a_len = a.length (); |
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175 if (beg < 0 || beg + a_len >= length ()) |
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176 { |
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177 (*current_liboctave_error_handler) ("range error for fill"); |
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178 return *this; |
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179 } |
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180 |
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181 for (octave_idx_type i = 0; i < a_len; i++) |
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182 elem (i+beg, i+beg) = a.elem (i); |
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183 |
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184 return *this; |
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185 } |
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186 |
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187 ComplexDiagMatrix& |
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188 ComplexDiagMatrix::fill (const ComplexColumnVector& a, octave_idx_type beg) |
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189 { |
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190 octave_idx_type a_len = a.length (); |
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191 if (beg < 0 || beg + a_len >= length ()) |
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192 { |
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193 (*current_liboctave_error_handler) ("range error for fill"); |
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194 return *this; |
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195 } |
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196 |
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197 for (octave_idx_type i = 0; i < a_len; i++) |
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198 elem (i+beg, i+beg) = a.elem (i); |
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199 |
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200 return *this; |
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201 } |
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202 |
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203 ComplexDiagMatrix& |
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204 ComplexDiagMatrix::fill (const RowVector& a, octave_idx_type beg) |
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205 { |
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206 octave_idx_type a_len = a.length (); |
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207 if (beg < 0 || beg + a_len >= length ()) |
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208 { |
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209 (*current_liboctave_error_handler) ("range error for fill"); |
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210 return *this; |
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211 } |
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212 |
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213 for (octave_idx_type i = 0; i < a_len; i++) |
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214 elem (i+beg, i+beg) = a.elem (i); |
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215 |
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216 return *this; |
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217 } |
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218 |
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219 ComplexDiagMatrix& |
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220 ComplexDiagMatrix::fill (const ComplexRowVector& a, octave_idx_type beg) |
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221 { |
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222 octave_idx_type a_len = a.length (); |
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223 if (beg < 0 || beg + a_len >= length ()) |
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224 { |
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225 (*current_liboctave_error_handler) ("range error for fill"); |
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226 return *this; |
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227 } |
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228 |
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229 for (octave_idx_type i = 0; i < a_len; i++) |
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230 elem (i+beg, i+beg) = a.elem (i); |
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231 |
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232 return *this; |
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233 } |
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234 |
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235 ComplexDiagMatrix |
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236 conj (const ComplexDiagMatrix& a) |
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237 { |
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238 ComplexDiagMatrix retval; |
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239 octave_idx_type a_len = a.length (); |
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240 if (a_len > 0) |
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241 retval = ComplexDiagMatrix (mx_inline_conj_dup (a.data (), a_len), |
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242 a.rows (), a.cols ()); |
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243 return retval; |
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244 } |
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245 |
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246 // resize is the destructive analog for this one |
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247 |
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248 ComplexMatrix |
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249 ComplexDiagMatrix::extract (octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2) const |
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250 { |
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251 if (r1 > r2) { octave_idx_type tmp = r1; r1 = r2; r2 = tmp; } |
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252 if (c1 > c2) { octave_idx_type tmp = c1; c1 = c2; c2 = tmp; } |
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253 |
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254 octave_idx_type new_r = r2 - r1 + 1; |
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255 octave_idx_type new_c = c2 - c1 + 1; |
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256 |
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257 ComplexMatrix result (new_r, new_c); |
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258 |
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259 for (octave_idx_type j = 0; j < new_c; j++) |
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260 for (octave_idx_type i = 0; i < new_r; i++) |
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261 result.elem (i, j) = elem (r1+i, c1+j); |
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262 |
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263 return result; |
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264 } |
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265 |
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266 // extract row or column i. |
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267 |
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268 ComplexRowVector |
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269 ComplexDiagMatrix::row (octave_idx_type i) const |
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270 { |
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271 octave_idx_type r = rows (); |
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272 octave_idx_type c = cols (); |
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273 if (i < 0 || i >= r) |
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274 { |
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275 (*current_liboctave_error_handler) ("invalid row selection"); |
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276 return ComplexRowVector (); |
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277 } |
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278 |
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279 ComplexRowVector retval (c, 0.0); |
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280 if (r <= c || (r > c && i < c)) |
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281 retval.elem (i) = elem (i, i); |
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282 |
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283 return retval; |
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284 } |
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285 |
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286 ComplexRowVector |
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287 ComplexDiagMatrix::row (char *s) const |
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288 { |
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289 if (! s) |
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290 { |
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291 (*current_liboctave_error_handler) ("invalid row selection"); |
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292 return ComplexRowVector (); |
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293 } |
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294 |
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295 char c = *s; |
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296 if (c == 'f' || c == 'F') |
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297 return row (static_cast<octave_idx_type>(0)); |
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298 else if (c == 'l' || c == 'L') |
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299 return row (rows () - 1); |
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300 else |
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301 { |
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302 (*current_liboctave_error_handler) ("invalid row selection"); |
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303 return ComplexRowVector (); |
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304 } |
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305 } |
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306 |
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307 ComplexColumnVector |
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308 ComplexDiagMatrix::column (octave_idx_type i) const |
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309 { |
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310 octave_idx_type r = rows (); |
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311 octave_idx_type c = cols (); |
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312 if (i < 0 || i >= c) |
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313 { |
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314 (*current_liboctave_error_handler) ("invalid column selection"); |
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315 return ComplexColumnVector (); |
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316 } |
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317 |
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318 ComplexColumnVector retval (r, 0.0); |
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319 if (r >= c || (r < c && i < r)) |
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320 retval.elem (i) = elem (i, i); |
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321 |
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322 return retval; |
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323 } |
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324 |
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325 ComplexColumnVector |
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326 ComplexDiagMatrix::column (char *s) const |
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327 { |
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328 if (! s) |
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329 { |
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330 (*current_liboctave_error_handler) ("invalid column selection"); |
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331 return ComplexColumnVector (); |
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332 } |
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333 |
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334 char c = *s; |
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335 if (c == 'f' || c == 'F') |
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336 return column (static_cast<octave_idx_type>(0)); |
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337 else if (c == 'l' || c == 'L') |
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338 return column (cols () - 1); |
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339 else |
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340 { |
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341 (*current_liboctave_error_handler) ("invalid column selection"); |
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342 return ComplexColumnVector (); |
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343 } |
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344 } |
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345 |
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346 ComplexDiagMatrix |
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347 ComplexDiagMatrix::inverse (void) const |
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348 { |
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349 int info; |
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350 return inverse (info); |
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351 } |
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352 |
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353 ComplexDiagMatrix |
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354 ComplexDiagMatrix::inverse (int& info) const |
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355 { |
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356 octave_idx_type r = rows (); |
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357 octave_idx_type c = cols (); |
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358 if (r != c) |
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359 { |
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360 (*current_liboctave_error_handler) ("inverse requires square matrix"); |
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361 return ComplexDiagMatrix (); |
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362 } |
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363 |
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364 ComplexDiagMatrix retval (r, c); |
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365 |
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366 info = 0; |
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367 for (octave_idx_type i = 0; i < length (); i++) |
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368 { |
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369 if (elem (i, i) == 0.0) |
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370 { |
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371 info = -1; |
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372 return *this; |
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373 } |
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374 else |
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375 retval.elem (i, i) = 1.0 / elem (i, i); |
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376 } |
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377 |
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378 return retval; |
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379 } |
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380 |
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381 // diagonal matrix by diagonal matrix -> diagonal matrix operations |
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382 |
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383 ComplexDiagMatrix& |
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384 ComplexDiagMatrix::operator += (const DiagMatrix& a) |
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385 { |
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386 octave_idx_type r = rows (); |
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387 octave_idx_type c = cols (); |
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388 |
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389 octave_idx_type a_nr = a.rows (); |
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390 octave_idx_type a_nc = a.cols (); |
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391 |
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392 if (r != a_nr || c != a_nc) |
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393 { |
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394 gripe_nonconformant ("operator +=", r, c, a_nr, a_nc); |
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458
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395 return *this; |
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396 } |
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397 |
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398 if (r == 0 || c == 0) |
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458
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399 return *this; |
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400 |
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401 Complex *d = fortran_vec (); // Ensures only one reference to my privates! |
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402 |
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403 mx_inline_add2 (d, a.data (), length ()); |
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458
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404 return *this; |
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405 } |
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406 |
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407 ComplexDiagMatrix |
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408 operator * (const ComplexDiagMatrix& a, const DiagMatrix& b) |
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409 { |
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410 octave_idx_type a_nr = a.rows (); |
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411 octave_idx_type a_nc = a.cols (); |
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412 |
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413 octave_idx_type b_nr = b.rows (); |
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414 octave_idx_type b_nc = b.cols (); |
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415 |
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3504
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416 if (a_nc != b_nr) |
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458
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417 { |
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3504
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418 gripe_nonconformant ("operator *", a_nr, a_nc, b_nr, b_nc); |
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458
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419 return ComplexDiagMatrix (); |
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420 } |
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421 |
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3504
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422 if (a_nr == 0 || a_nc == 0 || b_nc == 0) |
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423 return ComplexDiagMatrix (a_nr, a_nc, 0.0); |
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458
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424 |
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3504
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425 ComplexDiagMatrix c (a_nr, b_nc); |
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458
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426 |
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5275
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427 octave_idx_type len = a_nr < b_nc ? a_nr : b_nc; |
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458
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428 |
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5275
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429 for (octave_idx_type i = 0; i < len; i++) |
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458
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430 { |
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431 Complex a_element = a.elem (i, i); |
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432 double b_element = b.elem (i, i); |
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433 |
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434 if (a_element == 0.0 || b_element == 0.0) |
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435 c.elem (i, i) = 0.0; |
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436 else if (a_element == 1.0) |
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437 c.elem (i, i) = b_element; |
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438 else if (b_element == 1.0) |
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439 c.elem (i, i) = a_element; |
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440 else |
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441 c.elem (i, i) = a_element * b_element; |
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442 } |
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443 |
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444 return c; |
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445 } |
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446 |
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447 ComplexDiagMatrix |
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1205
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448 operator * (const DiagMatrix& a, const ComplexDiagMatrix& b) |
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|
449 { |
|
5275
|
450 octave_idx_type a_nr = a.rows (); |
|
|
451 octave_idx_type a_nc = a.cols (); |
|
2386
|
452 |
|
5275
|
453 octave_idx_type b_nr = b.rows (); |
|
|
454 octave_idx_type b_nc = b.cols (); |
|
2386
|
455 |
|
3504
|
456 if (a_nc != b_nr) |
|
1205
|
457 { |
|
3504
|
458 gripe_nonconformant ("operator *", a_nr, a_nc, b_nr, b_nc); |
|
1205
|
459 return ComplexDiagMatrix (); |
|
|
460 } |
|
|
461 |
|
3504
|
462 if (a_nr == 0 || a_nc == 0 || b_nc == 0) |
|
|
463 return ComplexDiagMatrix (a_nr, a_nc, 0.0); |
|
1205
|
464 |
|
3504
|
465 ComplexDiagMatrix c (a_nr, b_nc); |
|
1205
|
466 |
|
5275
|
467 octave_idx_type len = a_nr < b_nc ? a_nr : b_nc; |
|
1205
|
468 |
|
5275
|
469 for (octave_idx_type i = 0; i < len; i++) |
|
1205
|
470 { |
|
|
471 double a_element = a.elem (i, i); |
|
|
472 Complex b_element = b.elem (i, i); |
|
|
473 |
|
|
474 if (a_element == 0.0 || b_element == 0.0) |
|
|
475 c.elem (i, i) = 0.0; |
|
|
476 else if (a_element == 1.0) |
|
|
477 c.elem (i, i) = b_element; |
|
|
478 else if (b_element == 1.0) |
|
|
479 c.elem (i, i) = a_element; |
|
|
480 else |
|
|
481 c.elem (i, i) = a_element * b_element; |
|
|
482 } |
|
|
483 |
|
|
484 return c; |
|
|
485 } |
|
|
486 |
|
458
|
487 // other operations |
|
|
488 |
|
|
489 ComplexColumnVector |
|
5275
|
490 ComplexDiagMatrix::diag (octave_idx_type k) const |
|
458
|
491 { |
|
5275
|
492 octave_idx_type nnr = rows (); |
|
|
493 octave_idx_type nnc = cols (); |
|
458
|
494 if (k > 0) |
|
|
495 nnc -= k; |
|
|
496 else if (k < 0) |
|
|
497 nnr += k; |
|
|
498 |
|
|
499 ComplexColumnVector d; |
|
|
500 |
|
|
501 if (nnr > 0 && nnc > 0) |
|
|
502 { |
|
5275
|
503 octave_idx_type ndiag = (nnr < nnc) ? nnr : nnc; |
|
458
|
504 |
|
|
505 d.resize (ndiag); |
|
|
506 |
|
|
507 if (k > 0) |
|
|
508 { |
|
5275
|
509 for (octave_idx_type i = 0; i < ndiag; i++) |
|
458
|
510 d.elem (i) = elem (i, i+k); |
|
|
511 } |
|
|
512 else if ( k < 0) |
|
|
513 { |
|
5275
|
514 for (octave_idx_type i = 0; i < ndiag; i++) |
|
458
|
515 d.elem (i) = elem (i-k, i); |
|
|
516 } |
|
|
517 else |
|
|
518 { |
|
5275
|
519 for (octave_idx_type i = 0; i < ndiag; i++) |
|
458
|
520 d.elem (i) = elem (i, i); |
|
|
521 } |
|
|
522 } |
|
|
523 else |
|
4513
|
524 (*current_liboctave_error_handler) |
|
|
525 ("diag: requested diagonal out of range"); |
|
458
|
526 |
|
|
527 return d; |
|
|
528 } |
|
|
529 |
|
|
530 // i/o |
|
|
531 |
|
3504
|
532 std::ostream& |
|
|
533 operator << (std::ostream& os, const ComplexDiagMatrix& a) |
|
458
|
534 { |
|
|
535 Complex ZERO (0.0); |
|
|
536 // int field_width = os.precision () + 7; |
|
5275
|
537 for (octave_idx_type i = 0; i < a.rows (); i++) |
|
458
|
538 { |
|
5275
|
539 for (octave_idx_type j = 0; j < a.cols (); j++) |
|
458
|
540 { |
|
|
541 if (i == j) |
|
|
542 os << " " /* setw (field_width) */ << a.elem (i, i); |
|
|
543 else |
|
|
544 os << " " /* setw (field_width) */ << ZERO; |
|
|
545 } |
|
|
546 os << "\n"; |
|
|
547 } |
|
|
548 return os; |
|
|
549 } |
|
|
550 |
|
|
551 /* |
|
|
552 ;;; Local Variables: *** |
|
|
553 ;;; mode: C++ *** |
|
|
554 ;;; End: *** |
|
|
555 */ |
