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annotate liboctave/fDiagMatrix.cc @ 14026:3781981be535 ss-3-5-90

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snapshot 3.5.90 * configure.ac (AC_INIT): Version is now 3.5.90. (OCTAVE_API_VERSION_NUMBER): Now 46. (OCTAVE_RELEASE_DATE): Now 2011-12-11.
author John W. Eaton <jwe@octave.org>
date Sun, 11 Dec 2011 23:18:31 -0500
parents 12df7854fa7c
children 72c96de7a403
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1 // FloatDiagMatrix manipulations.
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2 /*
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3
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4 Copyright (C) 1994-2011 John W. Eaton
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5 Copyright (C) 2009 VZLU Prague
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6
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7 This file is part of Octave.
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8
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9 Octave is free software; you can redistribute it and/or modify it
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10 under the terms of the GNU General Public License as published by the
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11 Free Software Foundation; either version 3 of the License, or (at your
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12 option) any later version.
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13
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14 Octave is distributed in the hope that it will be useful, but WITHOUT
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15 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
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16 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
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17 for more details.
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18
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19 You should have received a copy of the GNU General Public License
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20 along with Octave; see the file COPYING. If not, see
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21 <http://www.gnu.org/licenses/>.
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22
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23 */
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24
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25 #ifdef HAVE_CONFIG_H
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26 #include <config.h>
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27 #endif
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28
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29 #include <iostream>
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30
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31 #include "Array-util.h"
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32 #include "lo-error.h"
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33 #include "mx-base.h"
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34 #include "mx-inlines.cc"
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35 #include "oct-cmplx.h"
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36
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37 // Diagonal Matrix class.
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38
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39 bool
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40 FloatDiagMatrix::operator == (const FloatDiagMatrix& 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 (length (), data (), a.data ());
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46 }
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47
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48 bool
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49 FloatDiagMatrix::operator != (const FloatDiagMatrix& 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 FloatDiagMatrix&
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55 FloatDiagMatrix::fill (float 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 FloatDiagMatrix&
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63 FloatDiagMatrix::fill (float 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 FloatDiagMatrix&
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78 FloatDiagMatrix::fill (const FloatColumnVector& 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 FloatDiagMatrix&
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94 FloatDiagMatrix::fill (const FloatRowVector& 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 FloatDiagMatrix&
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110 FloatDiagMatrix::fill (const FloatColumnVector& 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 FloatDiagMatrix&
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126 FloatDiagMatrix::fill (const FloatRowVector& 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 FloatDiagMatrix
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142 FloatDiagMatrix::abs (void) const
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143 {
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144 return FloatDiagMatrix (diag ().abs (), rows (), columns ());
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145 }
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146
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147 FloatDiagMatrix
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148 real (const FloatComplexDiagMatrix& a)
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149 {
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150 return FloatDiagMatrix (real (a.diag ()), a.rows (), a.columns ());
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151 }
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152
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153 FloatDiagMatrix
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154 imag (const FloatComplexDiagMatrix& a)
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155 {
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156 return FloatDiagMatrix (imag (a.diag ()), a.rows (), a.columns ());
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157 }
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158
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159 FloatMatrix
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160 FloatDiagMatrix::extract (octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2) const
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161 {
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162 if (r1 > r2) { octave_idx_type tmp = r1; r1 = r2; r2 = tmp; }
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163 if (c1 > c2) { octave_idx_type tmp = c1; c1 = c2; c2 = tmp; }
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164
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165 octave_idx_type new_r = r2 - r1 + 1;
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166 octave_idx_type new_c = c2 - c1 + 1;
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167
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168 FloatMatrix result (new_r, new_c);
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parents:
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169
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170 for (octave_idx_type j = 0; j < new_c; j++)
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171 for (octave_idx_type i = 0; i < new_r; i++)
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172 result.elem (i, j) = elem (r1+i, c1+j);
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173
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174 return result;
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parents:
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175 }
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176
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parents:
diff changeset
177 // extract row or column i.
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178
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179 FloatRowVector
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diff changeset
180 FloatDiagMatrix::row (octave_idx_type i) const
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diff changeset
181 {
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182 octave_idx_type r = rows ();
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183 octave_idx_type c = cols ();
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184 if (i < 0 || i >= r)
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185 {
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186 (*current_liboctave_error_handler) ("invalid row selection");
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187 return FloatRowVector ();
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188 }
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189
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190 FloatRowVector retval (c, 0.0);
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191 if (r <= c || (r > c && i < c))
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192 retval.elem (i) = elem (i, i);
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193
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194 return retval;
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195 }
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196
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197 FloatRowVector
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198 FloatDiagMatrix::row (char *s) const
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199 {
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200 if (! s)
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201 {
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202 (*current_liboctave_error_handler) ("invalid row selection");
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203 return FloatRowVector ();
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204 }
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205
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206 char c = *s;
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207 if (c == 'f' || c == 'F')
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208 return row (static_cast<octave_idx_type>(0));
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209 else if (c == 'l' || c == 'L')
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210 return row (rows () - 1);
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211 else
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212 {
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213 (*current_liboctave_error_handler) ("invalid row selection");
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214 return FloatRowVector ();
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215 }
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216 }
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217
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218 FloatColumnVector
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219 FloatDiagMatrix::column (octave_idx_type i) const
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220 {
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221 octave_idx_type r = rows ();
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222 octave_idx_type c = cols ();
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223 if (i < 0 || i >= c)
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224 {
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225 (*current_liboctave_error_handler) ("invalid column selection");
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226 return FloatColumnVector ();
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227 }
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228
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229 FloatColumnVector retval (r, 0.0);
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230 if (r >= c || (r < c && i < r))
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231 retval.elem (i) = elem (i, i);
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232
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233 return retval;
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234 }
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235
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236 FloatColumnVector
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237 FloatDiagMatrix::column (char *s) const
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238 {
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239 if (! s)
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240 {
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241 (*current_liboctave_error_handler) ("invalid column selection");
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242 return FloatColumnVector ();
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243 }
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244
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245 char c = *s;
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246 if (c == 'f' || c == 'F')
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247 return column (static_cast<octave_idx_type>(0));
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248 else if (c == 'l' || c == 'L')
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249 return column (cols () - 1);
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250 else
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251 {
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252 (*current_liboctave_error_handler) ("invalid column selection");
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253 return FloatColumnVector ();
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254 }
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255 }
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256
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257 FloatDiagMatrix
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258 FloatDiagMatrix::inverse (void) const
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259 {
8811
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260 octave_idx_type info;
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261 return inverse (info);
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262 }
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263
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parents:
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264 FloatDiagMatrix
8811
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parents: 8380
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265 FloatDiagMatrix::inverse (octave_idx_type &info) const
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266 {
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267 octave_idx_type r = rows ();
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268 octave_idx_type c = cols ();
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269 octave_idx_type len = length ();
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270 if (r != c)
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parents:
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271 {
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272 (*current_liboctave_error_handler) ("inverse requires square matrix");
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273 return FloatDiagMatrix ();
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parents:
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274 }
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275
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276 FloatDiagMatrix retval (r, c);
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277
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diff changeset
278 info = 0;
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diff changeset
279 for (octave_idx_type i = 0; i < len; i++)
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parents:
diff changeset
280 {
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diff changeset
281 if (elem (i, i) == 0.0)
10314
07ebe522dac2 untabify liboctave C++ sources
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parents: 10158
diff changeset
282 {
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diff changeset
283 info = -1;
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John W. Eaton <jwe@octave.org>
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diff changeset
284 return *this;
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parents: 10158
diff changeset
285 }
7789
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286 else
10314
07ebe522dac2 untabify liboctave C++ sources
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parents: 10158
diff changeset
287 retval.elem (i, i) = 1.0 / elem (i, i);
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288 }
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diff changeset
289
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diff changeset
290 return retval;
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parents:
diff changeset
291 }
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parents:
diff changeset
292
8840
c690e3772583 support diagonal matrices in pinv
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parents: 8811
diff changeset
293 FloatDiagMatrix
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diff changeset
294 FloatDiagMatrix::pseudo_inverse (void) const
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295 {
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diff changeset
296 octave_idx_type r = rows ();
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diff changeset
297 octave_idx_type c = cols ();
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diff changeset
298 octave_idx_type len = length ();
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diff changeset
299
c690e3772583 support diagonal matrices in pinv
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parents: 8811
diff changeset
300 FloatDiagMatrix retval (c, r);
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parents: 8811
diff changeset
301
c690e3772583 support diagonal matrices in pinv
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parents: 8811
diff changeset
302 for (octave_idx_type i = 0; i < len; i++)
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diff changeset
303 {
c690e3772583 support diagonal matrices in pinv
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parents: 8811
diff changeset
304 if (elem (i, i) != 0.0f)
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parents: 8811
diff changeset
305 retval.elem (i, i) = 1.0f / elem (i, i);
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parents: 8811
diff changeset
306 else
c690e3772583 support diagonal matrices in pinv
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diff changeset
307 retval.elem (i, i) = 0.0f;
c690e3772583 support diagonal matrices in pinv
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parents: 8811
diff changeset
308 }
c690e3772583 support diagonal matrices in pinv
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parents: 8811
diff changeset
309
c690e3772583 support diagonal matrices in pinv
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diff changeset
310 return retval;
c690e3772583 support diagonal matrices in pinv
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parents: 8811
diff changeset
311 }
c690e3772583 support diagonal matrices in pinv
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parents: 8811
diff changeset
312
7789
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parents:
diff changeset
313 // diagonal matrix by diagonal matrix -> diagonal matrix operations
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parents:
diff changeset
314
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parents:
diff changeset
315 // diagonal matrix by diagonal matrix -> diagonal matrix operations
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parents:
diff changeset
316
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parents:
diff changeset
317 FloatDiagMatrix
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parents:
diff changeset
318 operator * (const FloatDiagMatrix& a, const FloatDiagMatrix& b)
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parents:
diff changeset
319 {
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parents:
diff changeset
320 octave_idx_type a_nr = a.rows ();
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parents:
diff changeset
321 octave_idx_type a_nc = a.cols ();
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parents:
diff changeset
322
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parents:
diff changeset
323 octave_idx_type b_nr = b.rows ();
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parents:
diff changeset
324 octave_idx_type b_nc = b.cols ();
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parents:
diff changeset
325
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parents:
diff changeset
326 if (a_nc != b_nr)
9698
7c6d5d8c8d37 fix diag*diag multiplication
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parents: 9601
diff changeset
327 gripe_nonconformant ("operator *", a_nr, a_nc, b_nr, b_nc);
7789
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parents:
diff changeset
328
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parents:
diff changeset
329 FloatDiagMatrix c (a_nr, b_nc);
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parents:
diff changeset
330
9698
7c6d5d8c8d37 fix diag*diag multiplication
Jaroslav Hajek <highegg@gmail.com>
parents: 9601
diff changeset
331 octave_idx_type len = c.length (), lenm = len < a_nc ? len : a_nc;
7789
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parents:
diff changeset
332
9698
7c6d5d8c8d37 fix diag*diag multiplication
Jaroslav Hajek <highegg@gmail.com>
parents: 9601
diff changeset
333 for (octave_idx_type i = 0; i < lenm; i++)
7c6d5d8c8d37 fix diag*diag multiplication
Jaroslav Hajek <highegg@gmail.com>
parents: 9601
diff changeset
334 c.dgxelem (i) = a.dgelem (i) * b.dgelem (i);
7c6d5d8c8d37 fix diag*diag multiplication
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335 for (octave_idx_type i = lenm; i < len; i++)
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336 c.dgxelem (i) = 0.0f;
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337
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338 return c;
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339 }
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340
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341 // other operations
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342
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343 FloatDET
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344 FloatDiagMatrix::determinant (void) const
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345 {
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346 FloatDET det (1.0f);
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347 if (rows () != cols ())
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348 {
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349 (*current_liboctave_error_handler) ("determinant requires square matrix");
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350 det = 0.0f;
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351 }
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352 else
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353 {
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354 octave_idx_type len = length ();
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355 for (octave_idx_type i = 0; i < len; i++)
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356 det *= elem (i, i);
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357 }
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358
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359 return det;
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360 }
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361
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362 float
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363 FloatDiagMatrix::rcond (void) const
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364 {
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365 FloatColumnVector av = diag (0).map<float> (fabsf);
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366 float amx = av.max (), amn = av.min ();
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367 return amx == 0 ? 0.0f : amn / amx;
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368 }
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369
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370 std::ostream&
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371 operator << (std::ostream& os, const FloatDiagMatrix& a)
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372 {
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373 // int field_width = os.precision () + 7;
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374
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375 for (octave_idx_type i = 0; i < a.rows (); i++)
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376 {
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377 for (octave_idx_type j = 0; j < a.cols (); j++)
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378 {
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379 if (i == j)
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380 os << " " /* setw (field_width) */ << a.elem (i, i);
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381 else
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382 os << " " /* setw (field_width) */ << 0.0;
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383 }
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384 os << "\n";
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385 }
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386 return os;
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387 }