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annotate liboctave/PermMatrix.cc @ 9708:6f3ffe11d926

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implement luupdate
author Jaroslav Hajek <highegg@gmail.com>
date Thu, 08 Oct 2009 16:05:53 +0200
parents 9fba7e1da785
children c6b97d218345
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1 /*
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2
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eb63fbe60fab update copyright notices
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3 Copyright (C) 2008, 2009 Jaroslav Hajek
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4
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5 This file is part of Octave.
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6
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7 Octave is free software; you can redistribute it and/or modify it
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8 under the terms of the GNU General Public License as published by the
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9 Free Software Foundation; either version 3 of the License, or (at your
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10 option) any later version.
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11
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12 Octave is distributed in the hope that it will be useful, but WITHOUT
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13 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
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14 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
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15 for more details.
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16
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17 You should have received a copy of the GNU General Public License
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18 along with Octave; see the file COPYING. If not, see
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19 <http://www.gnu.org/licenses/>.
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20
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21 */
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22
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23 #ifdef HAVE_CONFIG_H
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24 #include <config.h>
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25 #endif
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26
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27 #include "PermMatrix.h"
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28 #include "idx-vector.h"
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29 #include "error.h"
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30 #include "Array-util.h"
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31 #include "oct-locbuf.h"
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32
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33 static void
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34 gripe_invalid_permutation (void)
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35 {
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36 (*current_liboctave_error_handler)
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37 ("PermMatrix: invalid permutation vector");
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38 }
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39
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40 PermMatrix::PermMatrix (const Array<octave_idx_type>& p, bool colp, bool check)
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41 : Array<octave_idx_type> (p), _colp(colp)
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42 {
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43 if (check)
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44 {
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45 if (! idx_vector (p).is_permutation (p.length ()))
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46 {
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47 gripe_invalid_permutation ();
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48 Array<octave_idx_type>::operator = (Array<octave_idx_type> ());
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49 }
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50 }
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51 }
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52
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53 PermMatrix::PermMatrix (const idx_vector& idx, bool colp, octave_idx_type n)
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54 : Array<octave_idx_type> (), _colp(colp)
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55 {
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56 octave_idx_type len = idx.length (n);
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57 if (! idx.is_permutation (len))
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58 gripe_invalid_permutation ();
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59 else
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60 {
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61 Array<octave_idx_type> idxa (len);
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62 for (octave_idx_type i = 0; i < len; i++) idxa(i) = idx(i);
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63 Array<octave_idx_type>::operator = (idxa);
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64 }
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65 }
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66
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67 PermMatrix::PermMatrix (octave_idx_type n)
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68 : Array<octave_idx_type> (n), _colp (false)
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69 {
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70 for (octave_idx_type i = 0; i < n; i++) xelem (i) = i;
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71 }
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72
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73 octave_idx_type
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74 PermMatrix::checkelem (octave_idx_type i, octave_idx_type j) const
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75 {
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76 octave_idx_type len = Array<octave_idx_type>::length ();
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77 if (i < 0 || j < 0 || i > len || j > len)
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78 {
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79 (*current_liboctave_error_handler) ("index out of range");
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80 return 0;
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81 }
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82 else
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83 return elem (i, j);
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84 }
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85
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86
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87 PermMatrix
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88 PermMatrix::transpose (void) const
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89 {
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90 PermMatrix retval (*this);
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91 retval._colp = ! retval._colp;
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92 return retval;
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93 }
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94
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95 PermMatrix
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96 PermMatrix::inverse (void) const
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97 {
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98 return transpose ();
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99 }
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100
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101 octave_idx_type
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102 PermMatrix::determinant (void) const
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103 {
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104 // Determine the sign of a permutation in linear time.
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105 // Is this widely known?
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106
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107 octave_idx_type len = perm_length ();
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108 const octave_idx_type *pa = data ();
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109
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110 OCTAVE_LOCAL_BUFFER (octave_idx_type, p, len);
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111 OCTAVE_LOCAL_BUFFER (octave_idx_type, q, len);
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112
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113 for (octave_idx_type i = 0; i < len; i++)
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114 {
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115 p[i] = pa[i];
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116 q[p[i]] = i;
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117 }
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118
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119 bool neg = false;
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120
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121 for (octave_idx_type i = 0; i < len; i++)
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122 {
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123 octave_idx_type j = p[i], k = q[i];
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124 if (j != i)
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125 {
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126 p[k] = p[i];
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127 q[j] = q[i];
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128 neg = ! neg;
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129 }
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130 }
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131
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132 return neg ? -1 : 1;
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133 }
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134
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135 PermMatrix
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136 PermMatrix::power (octave_idx_type m) const
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137 {
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138 octave_idx_type n = rows ();
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139 bool res_colp = _colp;
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140 if (m < 0)
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141 {
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142 res_colp = ! res_colp;
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143 m = -m;
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144 }
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145 else if (m == 0)
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146 return PermMatrix (n);
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147
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148 const octave_idx_type *p = data ();
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149 Array<octave_idx_type> res_pvec (n, -1);
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150 octave_idx_type *q = res_pvec.fortran_vec ();
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151
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152 for (octave_idx_type ics = 0; ics < n; ics++)
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153 {
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154 if (q[ics] > 0)
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155 continue;
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156
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157 // go forward m steps or until a cycle is found.
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158 octave_idx_type ic, j;
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159 for (j = 1, ic = p[ics]; j != m && ic != ics; j++, ic = p[ic]) ;
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160 if (ic == ics)
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161 {
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162 // reduce power.
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163 octave_idx_type mm = m % j;
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164 // go forward mm steps.
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165 for (j = 0, ic = ics; j != mm; j++, ic = p[ic]) ;
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166 }
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167
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168 // now ic = p^m[ics]. Loop through the whole cycle.
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169 octave_idx_type jcs = ics;
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170 do
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171 {
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172 q[jcs] = ic;
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173 jcs = p[jcs]; ic = p[ic];
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174 }
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175 while (jcs != ics);
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176
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177 }
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178
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179 return PermMatrix (res_pvec, res_colp, false);
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180 }
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181
9708
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182 PermMatrix
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183 PermMatrix::eye (octave_idx_type n)
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184 {
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185 Array<octave_idx_type> p(n);
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186 for (octave_idx_type i = 0; i < n; i++)
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187 p(i) = i;
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188
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189 return PermMatrix (p, false, false);
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190 }
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191
8958
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192 PermMatrix
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193 operator *(const PermMatrix& a, const PermMatrix& b)
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194 {
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195 const Array<octave_idx_type> ia = a.pvec (), ib = b.pvec ();
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196 PermMatrix r;
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197 octave_idx_type n = a.columns ();
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198 if (n != b.rows ())
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199 gripe_nonconformant ("operator *", n, n, b.rows (), b.rows ());
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200 else if (a._colp == b._colp)
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201 {
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202 r = PermMatrix ((a._colp
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203 ? ia.index (idx_vector (ib))
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204 : ib.index (idx_vector (ia))), a._colp, false);
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205 }
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206 else
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207 {
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208 Array<octave_idx_type> ra (n);
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209 if (a._colp)
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210 ra.assign (idx_vector (ib), ia);
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211 else
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212 ra.assign (idx_vector (ia), ib);
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213 r = PermMatrix (ra, a._colp, false);
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214 }
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215
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216 return r;
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217 }