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458
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1 // DiagMatrix manipulations. -*- C++ -*- |
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2 /* |
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3 |
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4 Copyright (C) 1992, 1993, 1994, 1995 John W. Eaton |
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5 |
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6 This file is part of Octave. |
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7 |
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8 Octave is free software; you can redistribute it and/or modify it |
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9 under the terms of the GNU General Public License as published by the |
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10 Free Software Foundation; either version 2, or (at your option) any |
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11 later version. |
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12 |
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13 Octave is distributed in the hope that it will be useful, but WITHOUT |
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14 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or |
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15 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License |
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16 for more details. |
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17 |
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18 You should have received a copy of the GNU General Public License |
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19 along with Octave; see the file COPYING. If not, write to the Free |
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20 Software Foundation, 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. |
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21 |
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22 */ |
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23 |
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24 #if defined (__GNUG__) |
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25 #pragma implementation |
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26 #endif |
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27 |
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28 #ifdef HAVE_CONFIG_H |
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29 #include <config.h> |
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30 #endif |
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31 |
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32 #include <iostream.h> |
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33 |
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34 #include "lo-error.h" |
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35 #include "mx-base.h" |
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36 #include "mx-inlines.cc" |
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37 #include "oct-cmplx.h" |
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38 |
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39 // Diagonal Matrix class. |
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40 |
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41 int |
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42 DiagMatrix::operator == (const DiagMatrix& a) const |
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43 { |
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44 if (rows () != a.rows () || cols () != a.cols ()) |
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45 return 0; |
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46 |
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47 return equal (data (), a.data (), length ()); |
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48 } |
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49 |
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50 int |
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51 DiagMatrix::operator != (const DiagMatrix& a) const |
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52 { |
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53 return !(*this == a); |
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54 } |
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55 |
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56 DiagMatrix& |
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57 DiagMatrix::fill (double val) |
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58 { |
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59 for (int i = 0; i < length (); i++) |
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60 elem (i, i) = val; |
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61 return *this; |
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62 } |
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63 |
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64 DiagMatrix& |
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65 DiagMatrix::fill (double val, int beg, int end) |
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66 { |
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67 if (beg < 0 || end >= length () || end < beg) |
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68 { |
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69 (*current_liboctave_error_handler) ("range error for fill"); |
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70 return *this; |
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71 } |
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72 |
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73 for (int i = beg; i < end; i++) |
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74 elem (i, i) = val; |
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75 |
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76 return *this; |
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77 } |
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78 |
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79 DiagMatrix& |
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80 DiagMatrix::fill (const ColumnVector& a) |
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81 { |
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82 int len = length (); |
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83 if (a.length () != len) |
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84 { |
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85 (*current_liboctave_error_handler) ("range error for fill"); |
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86 return *this; |
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87 } |
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88 |
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89 for (int i = 0; i < len; i++) |
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90 elem (i, i) = a.elem (i); |
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91 |
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92 return *this; |
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93 } |
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94 |
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95 DiagMatrix& |
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96 DiagMatrix::fill (const RowVector& a) |
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97 { |
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98 int len = length (); |
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99 if (a.length () != len) |
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100 { |
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101 (*current_liboctave_error_handler) ("range error for fill"); |
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102 return *this; |
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103 } |
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104 |
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105 for (int i = 0; i < len; i++) |
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106 elem (i, i) = a.elem (i); |
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107 |
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108 return *this; |
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109 } |
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110 |
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111 DiagMatrix& |
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112 DiagMatrix::fill (const ColumnVector& a, int beg) |
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113 { |
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114 int a_len = a.length (); |
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115 if (beg < 0 || beg + a_len >= length ()) |
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116 { |
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117 (*current_liboctave_error_handler) ("range error for fill"); |
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118 return *this; |
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119 } |
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120 |
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121 for (int i = 0; i < a_len; i++) |
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122 elem (i+beg, i+beg) = a.elem (i); |
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123 |
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124 return *this; |
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125 } |
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126 |
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127 DiagMatrix& |
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128 DiagMatrix::fill (const RowVector& a, int beg) |
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129 { |
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130 int a_len = a.length (); |
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131 if (beg < 0 || beg + a_len >= length ()) |
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132 { |
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133 (*current_liboctave_error_handler) ("range error for fill"); |
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134 return *this; |
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135 } |
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136 |
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137 for (int i = 0; i < a_len; i++) |
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138 elem (i+beg, i+beg) = a.elem (i); |
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139 |
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140 return *this; |
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141 } |
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142 |
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143 DiagMatrix |
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144 DiagMatrix::transpose (void) const |
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145 { |
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146 return DiagMatrix (dup (data (), length ()), cols (), rows ()); |
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147 } |
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148 |
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149 DiagMatrix |
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150 real (const ComplexDiagMatrix& a) |
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151 { |
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152 DiagMatrix retval; |
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153 int a_len = a.length (); |
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154 if (a_len > 0) |
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155 retval = DiagMatrix (real_dup (a.data (), a_len), a.rows (), |
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156 a.cols ()); |
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157 return retval; |
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158 } |
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159 |
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160 DiagMatrix |
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161 imag (const ComplexDiagMatrix& a) |
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162 { |
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163 DiagMatrix retval; |
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164 int a_len = a.length (); |
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165 if (a_len > 0) |
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166 retval = DiagMatrix (imag_dup (a.data (), a_len), a.rows (), |
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167 a.cols ()); |
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168 return retval; |
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169 } |
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170 |
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171 Matrix |
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172 DiagMatrix::extract (int r1, int c1, int r2, int c2) const |
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173 { |
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174 if (r1 > r2) { int tmp = r1; r1 = r2; r2 = tmp; } |
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175 if (c1 > c2) { int tmp = c1; c1 = c2; c2 = tmp; } |
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176 |
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177 int new_r = r2 - r1 + 1; |
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178 int new_c = c2 - c1 + 1; |
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179 |
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180 Matrix result (new_r, new_c); |
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181 |
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182 for (int j = 0; j < new_c; j++) |
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183 for (int i = 0; i < new_r; i++) |
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184 result.elem (i, j) = elem (r1+i, c1+j); |
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185 |
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186 return result; |
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187 } |
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188 |
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189 // extract row or column i. |
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190 |
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191 RowVector |
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192 DiagMatrix::row (int i) const |
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193 { |
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194 int nr = rows (); |
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195 int nc = cols (); |
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196 if (i < 0 || i >= nr) |
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197 { |
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198 (*current_liboctave_error_handler) ("invalid row selection"); |
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199 return RowVector (); |
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200 } |
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201 |
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202 RowVector retval (nc, 0.0); |
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203 if (nr <= nc || (nr > nc && i < nc)) |
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204 retval.elem (i) = elem (i, i); |
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205 |
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206 return retval; |
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207 } |
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208 |
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209 RowVector |
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210 DiagMatrix::row (char *s) const |
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211 { |
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212 if (! s) |
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213 { |
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214 (*current_liboctave_error_handler) ("invalid row selection"); |
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215 return RowVector (); |
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216 } |
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217 |
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218 char c = *s; |
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219 if (c == 'f' || c == 'F') |
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220 return row (0); |
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221 else if (c == 'l' || c == 'L') |
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222 return row (rows () - 1); |
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223 else |
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224 { |
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225 (*current_liboctave_error_handler) ("invalid row selection"); |
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226 return RowVector (); |
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227 } |
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228 } |
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229 |
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230 ColumnVector |
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231 DiagMatrix::column (int i) const |
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232 { |
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233 int nr = rows (); |
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234 int nc = cols (); |
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235 if (i < 0 || i >= nc) |
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236 { |
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237 (*current_liboctave_error_handler) ("invalid column selection"); |
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238 return ColumnVector (); |
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239 } |
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240 |
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241 ColumnVector retval (nr, 0.0); |
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242 if (nr >= nc || (nr < nc && i < nr)) |
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243 retval.elem (i) = elem (i, i); |
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244 |
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245 return retval; |
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246 } |
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247 |
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248 ColumnVector |
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249 DiagMatrix::column (char *s) const |
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250 { |
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251 if (! s) |
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252 { |
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253 (*current_liboctave_error_handler) ("invalid column selection"); |
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254 return ColumnVector (); |
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255 } |
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256 |
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257 char c = *s; |
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258 if (c == 'f' || c == 'F') |
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259 return column (0); |
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260 else if (c == 'l' || c == 'L') |
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261 return column (cols () - 1); |
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262 else |
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263 { |
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264 (*current_liboctave_error_handler) ("invalid column selection"); |
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265 return ColumnVector (); |
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266 } |
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267 } |
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268 |
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269 DiagMatrix |
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270 DiagMatrix::inverse (void) const |
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271 { |
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272 int info; |
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273 return inverse (info); |
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274 } |
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275 |
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276 DiagMatrix |
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277 DiagMatrix::inverse (int &info) const |
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278 { |
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279 int nr = rows (); |
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280 int nc = cols (); |
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281 int len = length (); |
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282 if (nr != nc) |
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283 { |
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284 (*current_liboctave_error_handler) ("inverse requires square matrix"); |
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285 return DiagMatrix (); |
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286 } |
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287 |
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288 DiagMatrix retval (nr, nc); |
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289 |
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290 info = 0; |
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291 for (int i = 0; i < len; i++) |
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292 { |
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293 if (elem (i, i) == 0.0) |
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294 { |
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295 info = -1; |
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296 return *this; |
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297 } |
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298 else |
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299 retval.elem (i, i) = 1.0 / elem (i, i); |
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300 } |
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301 |
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302 return retval; |
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303 } |
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304 |
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305 // diagonal matrix by diagonal matrix -> diagonal matrix operations |
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306 |
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307 DiagMatrix& |
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308 DiagMatrix::operator += (const DiagMatrix& a) |
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309 { |
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310 int nr = rows (); |
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311 int nc = cols (); |
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312 if (nr != a.rows () || nc != a.cols ()) |
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313 { |
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314 (*current_liboctave_error_handler) |
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315 ("nonconformant matrix += operation attempted"); |
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316 return *this; |
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317 } |
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318 |
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319 if (nc == 0 || nr == 0) |
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320 return *this; |
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321 |
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322 double *d = fortran_vec (); // Ensures only one reference to my privates! |
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323 |
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324 add2 (d, a.data (), length ()); |
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325 return *this; |
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326 } |
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327 |
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328 DiagMatrix& |
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329 DiagMatrix::operator -= (const DiagMatrix& a) |
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330 { |
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331 int nr = rows (); |
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332 int nc = cols (); |
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333 if (nr != a.rows () || nc != a.cols ()) |
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334 { |
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335 (*current_liboctave_error_handler) |
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336 ("nonconformant matrix -= operation attempted"); |
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337 return *this; |
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338 } |
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339 |
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340 if (nr == 0 || nc == 0) |
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341 return *this; |
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342 |
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343 double *d = fortran_vec (); // Ensures only one reference to my privates! |
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344 |
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345 subtract2 (d, a.data (), length ()); |
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346 return *this; |
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347 } |
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348 |
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349 // diagonal matrix by diagonal matrix -> diagonal matrix operations |
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350 |
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351 DiagMatrix |
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352 operator * (const DiagMatrix& a, const DiagMatrix& b) |
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353 { |
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354 int nr_a = a.rows (); |
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355 int nc_a = a.cols (); |
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356 int nr_b = b.rows (); |
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357 int nc_b = b.cols (); |
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358 if (nc_a != nr_b) |
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359 { |
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360 (*current_liboctave_error_handler) |
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361 ("nonconformant matrix multiplication attempted"); |
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362 return DiagMatrix (); |
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363 } |
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364 |
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365 if (nr_a == 0 || nc_a == 0 || nc_b == 0) |
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366 return DiagMatrix (nr_a, nc_a, 0.0); |
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367 |
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368 DiagMatrix c (nr_a, nc_b); |
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369 |
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370 int len = nr_a < nc_b ? nr_a : nc_b; |
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371 |
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372 for (int i = 0; i < len; i++) |
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373 { |
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374 double a_element = a.elem (i, i); |
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375 double b_element = b.elem (i, i); |
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376 |
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377 if (a_element == 0.0 || b_element == 0.0) |
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378 c.elem (i, i) = 0.0; |
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379 else if (a_element == 1.0) |
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380 c.elem (i, i) = b_element; |
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381 else if (b_element == 1.0) |
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382 c.elem (i, i) = a_element; |
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383 else |
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384 c.elem (i, i) = a_element * b_element; |
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385 } |
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386 |
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387 return c; |
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388 } |
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389 |
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390 // other operations |
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391 |
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392 ColumnVector |
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393 DiagMatrix::diag (void) const |
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394 { |
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395 return diag (0); |
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396 } |
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397 |
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398 // Could be optimized... |
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399 |
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400 ColumnVector |
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401 DiagMatrix::diag (int k) const |
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402 { |
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403 int nnr = rows (); |
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404 int nnc = cols (); |
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405 if (k > 0) |
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406 nnc -= k; |
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407 else if (k < 0) |
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408 nnr += k; |
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409 |
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410 ColumnVector d; |
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411 |
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412 if (nnr > 0 && nnc > 0) |
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413 { |
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414 int ndiag = (nnr < nnc) ? nnr : nnc; |
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415 |
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416 d.resize (ndiag); |
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417 |
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418 if (k > 0) |
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419 { |
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420 for (int i = 0; i < ndiag; i++) |
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421 d.elem (i) = elem (i, i+k); |
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422 } |
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423 else if ( k < 0) |
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424 { |
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425 for (int i = 0; i < ndiag; i++) |
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426 d.elem (i) = elem (i-k, i); |
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427 } |
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428 else |
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429 { |
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430 for (int i = 0; i < ndiag; i++) |
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431 d.elem (i) = elem (i, i); |
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432 } |
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433 } |
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434 else |
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435 cerr << "diag: requested diagonal out of range\n"; |
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436 |
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437 return d; |
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438 } |
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439 |
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440 ostream& |
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441 operator << (ostream& os, const DiagMatrix& a) |
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442 { |
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443 // int field_width = os.precision () + 7; |
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444 |
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458
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445 for (int i = 0; i < a.rows (); i++) |
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446 { |
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447 for (int j = 0; j < a.cols (); j++) |
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448 { |
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449 if (i == j) |
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450 os << " " /* setw (field_width) */ << a.elem (i, i); |
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451 else |
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452 os << " " /* setw (field_width) */ << 0.0; |
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453 } |
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454 os << "\n"; |
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455 } |
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456 return os; |
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457 } |
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458 |
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459 /* |
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460 ;;; Local Variables: *** |
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461 ;;; mode: C++ *** |
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462 ;;; page-delimiter: "^/\\*" *** |
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463 ;;; End: *** |
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464 */ |
