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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 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, Inc., 51 Franklin Street, Fifth Floor, Boston, MA |
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21 02110-1301, USA. |
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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 // Diagonal Matrix class. |
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38 |
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39 bool |
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40 DiagMatrix::operator == (const DiagMatrix& a) const |
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41 { |
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42 if (rows () != a.rows () || cols () != a.cols ()) |
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43 return 0; |
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44 |
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45 return mx_inline_equal (data (), a.data (), length ()); |
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46 } |
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47 |
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48 bool |
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49 DiagMatrix::operator != (const DiagMatrix& a) const |
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50 { |
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51 return !(*this == a); |
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52 } |
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53 |
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54 DiagMatrix& |
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55 DiagMatrix::fill (double val) |
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56 { |
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57 for (octave_idx_type i = 0; i < length (); i++) |
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58 elem (i, i) = val; |
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59 return *this; |
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60 } |
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61 |
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62 DiagMatrix& |
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63 DiagMatrix::fill (double val, octave_idx_type beg, octave_idx_type end) |
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64 { |
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65 if (beg < 0 || end >= length () || end < beg) |
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66 { |
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67 (*current_liboctave_error_handler) ("range error for fill"); |
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68 return *this; |
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69 } |
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70 |
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71 for (octave_idx_type i = beg; i <= end; i++) |
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72 elem (i, i) = val; |
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73 |
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74 return *this; |
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75 } |
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76 |
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77 DiagMatrix& |
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78 DiagMatrix::fill (const ColumnVector& a) |
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79 { |
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80 octave_idx_type len = length (); |
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81 if (a.length () != len) |
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82 { |
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83 (*current_liboctave_error_handler) ("range error for fill"); |
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84 return *this; |
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85 } |
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86 |
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87 for (octave_idx_type i = 0; i < len; i++) |
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88 elem (i, i) = a.elem (i); |
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89 |
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90 return *this; |
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91 } |
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92 |
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93 DiagMatrix& |
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94 DiagMatrix::fill (const RowVector& a) |
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95 { |
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96 octave_idx_type len = length (); |
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97 if (a.length () != len) |
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98 { |
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99 (*current_liboctave_error_handler) ("range error for fill"); |
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100 return *this; |
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101 } |
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102 |
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103 for (octave_idx_type i = 0; i < len; i++) |
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104 elem (i, i) = a.elem (i); |
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105 |
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106 return *this; |
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107 } |
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108 |
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109 DiagMatrix& |
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110 DiagMatrix::fill (const ColumnVector& a, octave_idx_type beg) |
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111 { |
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112 octave_idx_type a_len = a.length (); |
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113 if (beg < 0 || beg + a_len >= length ()) |
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114 { |
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115 (*current_liboctave_error_handler) ("range error for fill"); |
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116 return *this; |
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117 } |
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118 |
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119 for (octave_idx_type i = 0; i < a_len; i++) |
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120 elem (i+beg, i+beg) = a.elem (i); |
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121 |
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122 return *this; |
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123 } |
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124 |
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125 DiagMatrix& |
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126 DiagMatrix::fill (const RowVector& a, octave_idx_type beg) |
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127 { |
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128 octave_idx_type a_len = a.length (); |
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129 if (beg < 0 || beg + a_len >= length ()) |
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130 { |
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131 (*current_liboctave_error_handler) ("range error for fill"); |
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132 return *this; |
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133 } |
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134 |
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135 for (octave_idx_type i = 0; i < a_len; i++) |
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136 elem (i+beg, i+beg) = a.elem (i); |
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137 |
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138 return *this; |
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139 } |
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140 |
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141 DiagMatrix |
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142 DiagMatrix::transpose (void) const |
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143 { |
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144 return DiagMatrix (mx_inline_dup (data (), length ()), cols (), rows ()); |
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145 } |
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146 |
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147 DiagMatrix |
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148 real (const ComplexDiagMatrix& a) |
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149 { |
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150 DiagMatrix retval; |
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151 octave_idx_type a_len = a.length (); |
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152 if (a_len > 0) |
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153 retval = DiagMatrix (mx_inline_real_dup (a.data (), a_len), a.rows (), |
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154 a.cols ()); |
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155 return retval; |
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156 } |
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157 |
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158 DiagMatrix |
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159 imag (const ComplexDiagMatrix& a) |
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160 { |
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161 DiagMatrix retval; |
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162 octave_idx_type a_len = a.length (); |
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163 if (a_len > 0) |
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164 retval = DiagMatrix (mx_inline_imag_dup (a.data (), a_len), a.rows (), |
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165 a.cols ()); |
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166 return retval; |
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167 } |
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168 |
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169 Matrix |
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170 DiagMatrix::extract (octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2) const |
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171 { |
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172 if (r1 > r2) { octave_idx_type tmp = r1; r1 = r2; r2 = tmp; } |
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173 if (c1 > c2) { octave_idx_type tmp = c1; c1 = c2; c2 = tmp; } |
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174 |
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175 octave_idx_type new_r = r2 - r1 + 1; |
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176 octave_idx_type new_c = c2 - c1 + 1; |
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177 |
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178 Matrix result (new_r, new_c); |
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179 |
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180 for (octave_idx_type j = 0; j < new_c; j++) |
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181 for (octave_idx_type i = 0; i < new_r; i++) |
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182 result.elem (i, j) = elem (r1+i, c1+j); |
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183 |
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184 return result; |
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185 } |
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186 |
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187 // extract row or column i. |
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188 |
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189 RowVector |
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190 DiagMatrix::row (octave_idx_type i) const |
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191 { |
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192 octave_idx_type r = rows (); |
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193 octave_idx_type c = cols (); |
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194 if (i < 0 || i >= r) |
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195 { |
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196 (*current_liboctave_error_handler) ("invalid row selection"); |
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197 return RowVector (); |
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198 } |
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199 |
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200 RowVector retval (c, 0.0); |
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201 if (r <= c || (r > c && i < c)) |
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202 retval.elem (i) = elem (i, i); |
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203 |
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204 return retval; |
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205 } |
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206 |
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207 RowVector |
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208 DiagMatrix::row (char *s) const |
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209 { |
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210 if (! s) |
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211 { |
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212 (*current_liboctave_error_handler) ("invalid row selection"); |
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213 return RowVector (); |
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214 } |
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215 |
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216 char c = *s; |
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217 if (c == 'f' || c == 'F') |
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218 return row (static_cast<octave_idx_type>(0)); |
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219 else if (c == 'l' || c == 'L') |
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220 return row (rows () - 1); |
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221 else |
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222 { |
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223 (*current_liboctave_error_handler) ("invalid row selection"); |
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224 return RowVector (); |
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225 } |
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226 } |
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227 |
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228 ColumnVector |
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229 DiagMatrix::column (octave_idx_type i) const |
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230 { |
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231 octave_idx_type r = rows (); |
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232 octave_idx_type c = cols (); |
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233 if (i < 0 || i >= c) |
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234 { |
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235 (*current_liboctave_error_handler) ("invalid column selection"); |
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236 return ColumnVector (); |
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237 } |
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238 |
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239 ColumnVector retval (r, 0.0); |
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240 if (r >= c || (r < c && i < r)) |
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241 retval.elem (i) = elem (i, i); |
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242 |
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243 return retval; |
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244 } |
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245 |
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246 ColumnVector |
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247 DiagMatrix::column (char *s) const |
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248 { |
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249 if (! s) |
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250 { |
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251 (*current_liboctave_error_handler) ("invalid column selection"); |
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252 return ColumnVector (); |
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253 } |
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254 |
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255 char c = *s; |
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256 if (c == 'f' || c == 'F') |
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257 return column (static_cast<octave_idx_type>(0)); |
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258 else if (c == 'l' || c == 'L') |
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259 return column (cols () - 1); |
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260 else |
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261 { |
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262 (*current_liboctave_error_handler) ("invalid column selection"); |
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263 return ColumnVector (); |
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264 } |
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265 } |
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266 |
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267 DiagMatrix |
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268 DiagMatrix::inverse (void) const |
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269 { |
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270 int info; |
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271 return inverse (info); |
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272 } |
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273 |
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274 DiagMatrix |
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275 DiagMatrix::inverse (int &info) const |
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276 { |
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277 octave_idx_type r = rows (); |
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278 octave_idx_type c = cols (); |
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279 octave_idx_type len = length (); |
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280 if (r != c) |
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281 { |
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282 (*current_liboctave_error_handler) ("inverse requires square matrix"); |
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283 return DiagMatrix (); |
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284 } |
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285 |
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286 DiagMatrix retval (r, c); |
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287 |
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288 info = 0; |
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289 for (octave_idx_type i = 0; i < len; i++) |
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290 { |
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291 if (elem (i, i) == 0.0) |
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292 { |
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293 info = -1; |
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294 return *this; |
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295 } |
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296 else |
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297 retval.elem (i, i) = 1.0 / elem (i, i); |
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298 } |
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299 |
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300 return retval; |
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301 } |
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302 |
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303 // diagonal matrix by diagonal matrix -> diagonal matrix operations |
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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 operator * (const DiagMatrix& a, const DiagMatrix& b) |
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309 { |
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310 octave_idx_type a_nr = a.rows (); |
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311 octave_idx_type a_nc = a.cols (); |
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312 |
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313 octave_idx_type b_nr = b.rows (); |
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314 octave_idx_type b_nc = b.cols (); |
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315 |
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316 if (a_nc != b_nr) |
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317 { |
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318 gripe_nonconformant ("operaotr *", a_nr, a_nc, b_nr, b_nc); |
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319 return DiagMatrix (); |
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320 } |
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321 |
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322 if (a_nr == 0 || a_nc == 0 || b_nc == 0) |
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323 return DiagMatrix (a_nr, a_nc, 0.0); |
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324 |
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325 DiagMatrix c (a_nr, b_nc); |
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326 |
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327 octave_idx_type len = a_nr < b_nc ? a_nr : b_nc; |
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328 |
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329 for (octave_idx_type i = 0; i < len; i++) |
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330 { |
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331 double a_element = a.elem (i, i); |
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332 double b_element = b.elem (i, i); |
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333 |
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334 if (a_element == 0.0 || b_element == 0.0) |
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335 c.elem (i, i) = 0.0; |
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336 else if (a_element == 1.0) |
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337 c.elem (i, i) = b_element; |
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338 else if (b_element == 1.0) |
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339 c.elem (i, i) = a_element; |
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340 else |
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341 c.elem (i, i) = a_element * b_element; |
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342 } |
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343 |
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344 return c; |
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345 } |
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346 |
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347 // other operations |
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348 |
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349 ColumnVector |
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350 DiagMatrix::diag (void) const |
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351 { |
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352 return diag (0); |
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353 } |
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354 |
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355 // Could be optimized... |
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356 |
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357 ColumnVector |
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358 DiagMatrix::diag (octave_idx_type k) const |
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359 { |
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360 octave_idx_type nnr = rows (); |
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361 octave_idx_type nnc = cols (); |
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362 if (k > 0) |
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363 nnc -= k; |
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364 else if (k < 0) |
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365 nnr += k; |
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366 |
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367 ColumnVector d; |
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368 |
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369 if (nnr > 0 && nnc > 0) |
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370 { |
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371 octave_idx_type ndiag = (nnr < nnc) ? nnr : nnc; |
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372 |
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373 d.resize (ndiag); |
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374 |
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375 if (k > 0) |
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376 { |
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377 for (octave_idx_type i = 0; i < ndiag; i++) |
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378 d.elem (i) = elem (i, i+k); |
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379 } |
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380 else if ( k < 0) |
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381 { |
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382 for (octave_idx_type i = 0; i < ndiag; i++) |
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383 d.elem (i) = elem (i-k, i); |
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384 } |
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385 else |
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386 { |
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387 for (octave_idx_type i = 0; i < ndiag; i++) |
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388 d.elem (i) = elem (i, i); |
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389 } |
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390 } |
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391 else |
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392 (*current_liboctave_error_handler) |
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393 ("diag: requested diagonal out of range"); |
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458
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394 |
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395 return d; |
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396 } |
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397 |
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398 std::ostream& |
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399 operator << (std::ostream& os, const DiagMatrix& a) |
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400 { |
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401 // int field_width = os.precision () + 7; |
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402 |
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403 for (octave_idx_type i = 0; i < a.rows (); i++) |
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458
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404 { |
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5275
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405 for (octave_idx_type j = 0; j < a.cols (); j++) |
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458
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406 { |
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407 if (i == j) |
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408 os << " " /* setw (field_width) */ << a.elem (i, i); |
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409 else |
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410 os << " " /* setw (field_width) */ << 0.0; |
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411 } |
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412 os << "\n"; |
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413 } |
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414 return os; |
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415 } |
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416 |
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417 /* |
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418 ;;; Local Variables: *** |
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419 ;;; mode: C++ *** |
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420 ;;; End: *** |
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421 */ |
