annotate liboctave/array/fDiagMatrix.cc @ 25054:6652d3823428 stable

maint: Update copyright dates in all source files.
author John W. Eaton <jwe@octave.org>
date Fri, 30 Mar 2018 09:19:05 -0400
parents 194eb4bd202b
children cb1606f78f6b
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1 /*
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2
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3 Copyright (C) 1994-2018 John W. Eaton
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4 Copyright (C) 2009 VZLU Prague
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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
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10 the Free Software Foundation, either version 3 of the License, or
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11 (at your option) any later version.
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12
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13 Octave is distributed in the hope that it will be useful, but
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14 WITHOUT ANY WARRANTY; without even the implied warranty of
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15 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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16 GNU General Public License for more details.
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17
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18 You should have received a copy of the GNU General Public License
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19 along with Octave; see the file COPYING. If not, see
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20 <https://www.gnu.org/licenses/>.
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21
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22 */
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23
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24 #if defined (HAVE_CONFIG_H)
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25 # include "config.h"
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26 #endif
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27
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28 #include <iostream>
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29
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30 #include "Array-util.h"
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31 #include "lo-error.h"
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32 #include "mx-base.h"
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33 #include "mx-inlines.cc"
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34 #include "oct-cmplx.h"
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35
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36 // Diagonal Matrix class.
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37
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38 bool
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39 FloatDiagMatrix::operator == (const FloatDiagMatrix& a) const
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40 {
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41 if (rows () != a.rows () || cols () != a.cols ())
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42 return 0;
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43
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44 return mx_inline_equal (length (), data (), a.data ());
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45 }
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46
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47 bool
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48 FloatDiagMatrix::operator != (const FloatDiagMatrix& a) const
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49 {
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50 return !(*this == a);
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51 }
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52
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53 FloatDiagMatrix&
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54 FloatDiagMatrix::fill (float val)
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55 {
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56 for (octave_idx_type i = 0; i < length (); i++)
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57 elem (i, i) = val;
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58 return *this;
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59 }
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60
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61 FloatDiagMatrix&
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62 FloatDiagMatrix::fill (float val, octave_idx_type beg, octave_idx_type end)
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63 {
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64 if (beg < 0 || end >= length () || end < beg)
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65 (*current_liboctave_error_handler) ("range error for fill");
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66
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67 for (octave_idx_type i = beg; i <= end; i++)
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68 elem (i, i) = val;
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69
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70 return *this;
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71 }
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72
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73 FloatDiagMatrix&
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74 FloatDiagMatrix::fill (const FloatColumnVector& a)
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75 {
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76 octave_idx_type len = length ();
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77 if (a.numel () != len)
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78 (*current_liboctave_error_handler) ("range error for fill");
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79
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80 for (octave_idx_type i = 0; i < len; i++)
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81 elem (i, i) = a.elem (i);
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82
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83 return *this;
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84 }
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85
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86 FloatDiagMatrix&
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87 FloatDiagMatrix::fill (const FloatRowVector& a)
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88 {
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89 octave_idx_type len = length ();
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90 if (a.numel () != len)
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91 (*current_liboctave_error_handler) ("range error for fill");
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92
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93 for (octave_idx_type i = 0; i < len; i++)
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94 elem (i, i) = a.elem (i);
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95
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96 return *this;
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97 }
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98
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99 FloatDiagMatrix&
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100 FloatDiagMatrix::fill (const FloatColumnVector& a, octave_idx_type beg)
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101 {
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102 octave_idx_type a_len = a.numel ();
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103 if (beg < 0 || beg + a_len >= length ())
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104 (*current_liboctave_error_handler) ("range error for fill");
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105
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106 for (octave_idx_type i = 0; i < a_len; i++)
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107 elem (i+beg, i+beg) = a.elem (i);
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108
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109 return *this;
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110 }
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111
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112 FloatDiagMatrix&
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113 FloatDiagMatrix::fill (const FloatRowVector& a, octave_idx_type beg)
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114 {
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115 octave_idx_type a_len = a.numel ();
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116 if (beg < 0 || beg + a_len >= length ())
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117 (*current_liboctave_error_handler) ("range error for fill");
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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 FloatDiagMatrix
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126 FloatDiagMatrix::abs (void) const
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127 {
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128 return FloatDiagMatrix (extract_diag ().abs (), rows (), columns ());
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129 }
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130
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131 FloatDiagMatrix
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132 real (const FloatComplexDiagMatrix& a)
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133 {
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134 return FloatDiagMatrix (real (a.extract_diag ()), a.rows (), a.columns ());
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135 }
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136
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137 FloatDiagMatrix
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138 imag (const FloatComplexDiagMatrix& a)
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139 {
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140 return FloatDiagMatrix (imag (a.extract_diag ()), a.rows (), a.columns ());
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141 }
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142
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143 FloatMatrix
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144 FloatDiagMatrix::extract (octave_idx_type r1, octave_idx_type c1,
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145 octave_idx_type r2, octave_idx_type c2) const
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146 {
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147 if (r1 > r2) { std::swap (r1, r2); }
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148 if (c1 > c2) { std::swap (c1, c2); }
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149
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150 octave_idx_type new_r = r2 - r1 + 1;
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151 octave_idx_type new_c = c2 - c1 + 1;
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152
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153 FloatMatrix result (new_r, new_c);
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154
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155 for (octave_idx_type j = 0; j < new_c; j++)
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156 for (octave_idx_type i = 0; i < new_r; i++)
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157 result.elem (i, j) = elem (r1+i, c1+j);
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158
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159 return result;
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parents:
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160 }
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parents:
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161
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parents:
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162 // extract row or column i.
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parents:
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163
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parents:
diff changeset
164 FloatRowVector
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parents:
diff changeset
165 FloatDiagMatrix::row (octave_idx_type i) const
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166 {
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167 octave_idx_type r = rows ();
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168 octave_idx_type c = cols ();
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169 if (i < 0 || i >= r)
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parents: 21100
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170 (*current_liboctave_error_handler) ("invalid row selection");
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171
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172 FloatRowVector retval (c, 0.0);
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parents:
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173 if (r <= c || (r > c && i < c))
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parents:
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174 retval.elem (i) = elem (i, i);
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175
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176 return retval;
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177 }
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178
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179 FloatRowVector
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180 FloatDiagMatrix::row (char *s) const
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181 {
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182 if (! s)
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183 (*current_liboctave_error_handler) ("invalid row selection");
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184
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185 char c = *s;
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186 if (c == 'f' || c == 'F')
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187 return row (static_cast<octave_idx_type>(0));
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188 else if (c == 'l' || c == 'L')
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189 return row (rows () - 1);
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190 else
21136
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parents: 21100
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191 (*current_liboctave_error_handler) ("invalid row selection");
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192 }
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193
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194 FloatColumnVector
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195 FloatDiagMatrix::column (octave_idx_type i) const
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196 {
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197 octave_idx_type r = rows ();
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198 octave_idx_type c = cols ();
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199 if (i < 0 || i >= c)
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200 (*current_liboctave_error_handler) ("invalid column selection");
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201
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202 FloatColumnVector retval (r, 0.0);
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203 if (r >= c || (r < c && i < r))
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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 FloatColumnVector
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210 FloatDiagMatrix::column (char *s) const
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parents:
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211 {
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212 if (! s)
21136
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parents: 21100
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213 (*current_liboctave_error_handler) ("invalid column selection");
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214
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215 char c = *s;
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216 if (c == 'f' || c == 'F')
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217 return column (static_cast<octave_idx_type>(0));
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218 else if (c == 'l' || c == 'L')
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219 return column (cols () - 1);
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220 else
21136
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parents: 21100
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221 (*current_liboctave_error_handler) ("invalid column selection");
7789
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222 }
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223
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224 FloatDiagMatrix
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225 FloatDiagMatrix::inverse (void) const
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226 {
8811
20dfb885f877 int -> octave_idx fixes
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parents: 8380
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227 octave_idx_type info;
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228 return inverse (info);
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229 }
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230
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231 FloatDiagMatrix
23433
c9fab0bc983e maint: Use convention 'int& x' for naming references.
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parents: 23220
diff changeset
232 FloatDiagMatrix::inverse (octave_idx_type& info) const
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233 {
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234 octave_idx_type r = rows ();
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235 octave_idx_type c = cols ();
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236 octave_idx_type len = length ();
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237 if (r != c)
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238 (*current_liboctave_error_handler) ("inverse requires square matrix");
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239
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240 FloatDiagMatrix retval (r, c);
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241
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242 info = 0;
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243 for (octave_idx_type i = 0; i < len; i++)
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244 {
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diff changeset
245 if (elem (i, i) == 0.0)
21723
bae585228161 use namespace for numeric_limits
John W. Eaton <jwe@octave.org>
parents: 21721
diff changeset
246 retval.elem (i, i) = octave::numeric_limits<float>::Inf ();
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247 else
10314
07ebe522dac2 untabify liboctave C++ sources
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parents: 10158
diff changeset
248 retval.elem (i, i) = 1.0 / elem (i, i);
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249 }
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diff changeset
250
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251 return retval;
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parents:
diff changeset
252 }
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253
8840
c690e3772583 support diagonal matrices in pinv
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parents: 8811
diff changeset
254 FloatDiagMatrix
18467
c5a101de2d88 Allow pinv to work on Diagonal Matrices with a tolerance (bug #41546).
Rik <rik@octave.org>
parents: 18084
diff changeset
255 FloatDiagMatrix::pseudo_inverse (float tol) const
8840
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diff changeset
256 {
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diff changeset
257 octave_idx_type r = rows ();
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diff changeset
258 octave_idx_type c = cols ();
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diff changeset
259 octave_idx_type len = length ();
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diff changeset
260
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parents: 8811
diff changeset
261 FloatDiagMatrix retval (c, r);
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parents: 8811
diff changeset
262
c690e3772583 support diagonal matrices in pinv
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parents: 8811
diff changeset
263 for (octave_idx_type i = 0; i < len; i++)
c690e3772583 support diagonal matrices in pinv
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parents: 8811
diff changeset
264 {
18481
16b0cd465ecd Handle special case of 0 for pinv with Diagonal matrices.
Rik <rik@octave.org>
parents: 18467
diff changeset
265 float val = std::abs (elem (i, i));
18496
80b8873c90ba Fix pinv bug with 0 values introduced in cset 16b0cd465ecd.
Rik <rik@octave.org>
parents: 18494
diff changeset
266 if (val < tol || val == 0.0f)
18467
c5a101de2d88 Allow pinv to work on Diagonal Matrices with a tolerance (bug #41546).
Rik <rik@octave.org>
parents: 18084
diff changeset
267 retval.elem (i, i) = 0.0f;
18496
80b8873c90ba Fix pinv bug with 0 values introduced in cset 16b0cd465ecd.
Rik <rik@octave.org>
parents: 18494
diff changeset
268 else
18494
1fa5bba16218 [mq]: pinv
Rik <rik@octave.org>
parents: 18481
diff changeset
269 retval.elem (i, i) = 1.0f / elem (i, i);
8840
c690e3772583 support diagonal matrices in pinv
Jaroslav Hajek <highegg@gmail.com>
parents: 8811
diff changeset
270 }
c690e3772583 support diagonal matrices in pinv
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parents: 8811
diff changeset
271
c690e3772583 support diagonal matrices in pinv
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parents: 8811
diff changeset
272 return retval;
c690e3772583 support diagonal matrices in pinv
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parents: 8811
diff changeset
273 }
c690e3772583 support diagonal matrices in pinv
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parents: 8811
diff changeset
274
7789
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275 // diagonal matrix by diagonal matrix -> diagonal matrix operations
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parents:
diff changeset
276
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parents:
diff changeset
277 // diagonal matrix by diagonal matrix -> diagonal matrix operations
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parents:
diff changeset
278
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diff changeset
279 FloatDiagMatrix
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parents:
diff changeset
280 operator * (const FloatDiagMatrix& a, const FloatDiagMatrix& b)
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parents:
diff changeset
281 {
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parents:
diff changeset
282 octave_idx_type a_nr = a.rows ();
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parents:
diff changeset
283 octave_idx_type a_nc = a.cols ();
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parents:
diff changeset
284
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parents:
diff changeset
285 octave_idx_type b_nr = b.rows ();
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parents:
diff changeset
286 octave_idx_type b_nc = b.cols ();
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parents:
diff changeset
287
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parents:
diff changeset
288 if (a_nc != b_nr)
22327
d0562b3159c7 move more classes inside octave namespace
John W. Eaton <jwe@octave.org>
parents: 22323
diff changeset
289 octave::err_nonconformant ("operator *", a_nr, a_nc, b_nr, b_nc);
7789
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290
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diff changeset
291 FloatDiagMatrix c (a_nr, b_nc);
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parents:
diff changeset
292
18084
8e056300994b Follow coding convention of defining and initializing only 1 variable per line in liboctave.
Rik <rik@octave.org>
parents: 17769
diff changeset
293 octave_idx_type len = c.length ();
23450
855122b993da maint: Wrap tertiary operator in parentheses "(COND ? x : y)".
Rik <rik@octave.org>
parents: 23433
diff changeset
294 octave_idx_type lenm = (len < a_nc ? len : a_nc);
7789
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parents:
diff changeset
295
9698
7c6d5d8c8d37 fix diag*diag multiplication
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parents: 9601
diff changeset
296 for (octave_idx_type i = 0; i < lenm; i++)
7c6d5d8c8d37 fix diag*diag multiplication
Jaroslav Hajek <highegg@gmail.com>
parents: 9601
diff changeset
297 c.dgxelem (i) = a.dgelem (i) * b.dgelem (i);
7c6d5d8c8d37 fix diag*diag multiplication
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parents: 9601
diff changeset
298 for (octave_idx_type i = lenm; i < len; i++)
7c6d5d8c8d37 fix diag*diag multiplication
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parents: 9601
diff changeset
299 c.dgxelem (i) = 0.0f;
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diff changeset
300
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parents:
diff changeset
301 return c;
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parents:
diff changeset
302 }
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parents:
diff changeset
303
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parents:
diff changeset
304 // other operations
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parents:
diff changeset
305
8371
c3f7e2549abb make det & inv aware of diagonal & permutation matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 8366
diff changeset
306 FloatDET
c3f7e2549abb make det & inv aware of diagonal & permutation matrices
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parents: 8366
diff changeset
307 FloatDiagMatrix::determinant (void) const
c3f7e2549abb make det & inv aware of diagonal & permutation matrices
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parents: 8366
diff changeset
308 {
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parents: 8366
diff changeset
309 FloatDET det (1.0f);
c3f7e2549abb make det & inv aware of diagonal & permutation matrices
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parents: 8366
diff changeset
310 if (rows () != cols ())
21136
7cac4e7458f2 maint: clean up code around calls to current_liboctave_error_handler.
Rik <rik@octave.org>
parents: 21100
diff changeset
311 (*current_liboctave_error_handler) ("determinant requires square matrix");
7cac4e7458f2 maint: clean up code around calls to current_liboctave_error_handler.
Rik <rik@octave.org>
parents: 21100
diff changeset
312
7cac4e7458f2 maint: clean up code around calls to current_liboctave_error_handler.
Rik <rik@octave.org>
parents: 21100
diff changeset
313 octave_idx_type len = length ();
7cac4e7458f2 maint: clean up code around calls to current_liboctave_error_handler.
Rik <rik@octave.org>
parents: 21100
diff changeset
314 for (octave_idx_type i = 0; i < len; i++)
7cac4e7458f2 maint: clean up code around calls to current_liboctave_error_handler.
Rik <rik@octave.org>
parents: 21100
diff changeset
315 det *= elem (i, i);
8371
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316
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317 return det;
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318 }
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319
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320 float
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321 FloatDiagMatrix::rcond (void) const
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322 {
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323 FloatColumnVector av = extract_diag (0).map<float> (fabsf);
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324 float amx = av.max ();
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325 float amn = av.min ();
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326 return amx == 0 ? 0.0f : amn / amx;
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327 }
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328
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82be108cc558 First attempt at single precision tyeps
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329 std::ostream&
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330 operator << (std::ostream& os, const FloatDiagMatrix& a)
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331 {
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332 // int field_width = os.precision () + 7;
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333
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334 for (octave_idx_type i = 0; i < a.rows (); i++)
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335 {
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336 for (octave_idx_type j = 0; j < a.cols (); j++)
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337 {
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338 if (i == j)
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Rik <rik@octave.org>
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339 os << ' ' /* setw (field_width) */ << a.elem (i, i);
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340 else
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341 os << ' ' /* setw (field_width) */ << 0.0;
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342 }
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343 os << "\n";
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344 }
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345 return os;
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346 }