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annotate liboctave/PermMatrix.cc @ 11526:7ef6031cb35e

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author Rik <octave@nomad.inbox5.com>
date Fri, 14 Jan 2011 11:46:19 -0800
parents fd0a3ac60b0e
children 57632dea2446
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1 /*
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2
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3 Copyright (C) 2008-2011 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 "Array-util.h"
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30 #include "oct-locbuf.h"
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31
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32 static void
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33 gripe_invalid_permutation (void)
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34 {
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35 (*current_liboctave_error_handler)
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36 ("PermMatrix: invalid permutation vector");
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37 }
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38
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39 PermMatrix::PermMatrix (const Array<octave_idx_type>& p, bool colp, bool check)
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40 : Array<octave_idx_type> (p), _colp(colp)
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41 {
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42 if (check)
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43 {
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44 if (! idx_vector (p).is_permutation (p.length ()))
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45 {
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46 gripe_invalid_permutation ();
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47 Array<octave_idx_type>::operator = (Array<octave_idx_type> ());
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48 }
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49 }
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50 }
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51
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52 PermMatrix::PermMatrix (const idx_vector& idx, bool colp, octave_idx_type n)
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53 : Array<octave_idx_type> (), _colp(colp)
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54 {
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55 octave_idx_type len = idx.length (n);
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56 if (! idx.is_permutation (len))
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57 gripe_invalid_permutation ();
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58 else
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59 {
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60 Array<octave_idx_type> idxa (len, 1);
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61 for (octave_idx_type i = 0; i < len; i++) idxa(i) = idx(i);
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62 Array<octave_idx_type>::operator = (idxa);
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63 }
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64 }
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65
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66 PermMatrix::PermMatrix (octave_idx_type n)
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67 : Array<octave_idx_type> (n, 1), _colp (false)
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68 {
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69 for (octave_idx_type i = 0; i < n; i++) xelem (i) = i;
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70 }
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71
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72 octave_idx_type
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73 PermMatrix::checkelem (octave_idx_type i, octave_idx_type j) const
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74 {
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75 octave_idx_type len = Array<octave_idx_type>::length ();
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76 if (i < 0 || j < 0 || i > len || j > len)
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77 {
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78 (*current_liboctave_error_handler) ("index out of range");
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79 return 0;
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80 }
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81 else
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82 return elem (i, j);
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83 }
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84
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85
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86 PermMatrix
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87 PermMatrix::transpose (void) const
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88 {
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89 PermMatrix retval (*this);
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90 retval._colp = ! retval._colp;
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91 return retval;
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92 }
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93
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94 PermMatrix
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95 PermMatrix::inverse (void) const
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96 {
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97 return transpose ();
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98 }
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99
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100 octave_idx_type
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101 PermMatrix::determinant (void) const
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102 {
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103 // Determine the sign of a permutation in linear time.
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104 // Is this widely known?
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105
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106 octave_idx_type len = perm_length ();
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107 const octave_idx_type *pa = data ();
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108
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109 OCTAVE_LOCAL_BUFFER (octave_idx_type, p, len);
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110 OCTAVE_LOCAL_BUFFER (octave_idx_type, q, len);
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111
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112 for (octave_idx_type i = 0; i < len; i++)
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113 {
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114 p[i] = pa[i];
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115 q[p[i]] = i;
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116 }
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117
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118 bool neg = false;
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119
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120 for (octave_idx_type i = 0; i < len; i++)
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121 {
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122 octave_idx_type j = p[i], k = q[i];
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123 if (j != i)
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124 {
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125 p[k] = p[i];
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126 q[j] = q[i];
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127 neg = ! neg;
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128 }
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129 }
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130
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131 return neg ? -1 : 1;
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132 }
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133
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134 PermMatrix
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135 PermMatrix::power (octave_idx_type m) const
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136 {
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137 octave_idx_type n = rows ();
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138 bool res_colp = _colp;
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139 if (m < 0)
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140 {
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141 res_colp = ! res_colp;
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142 m = -m;
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143 }
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144 else if (m == 0)
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145 return PermMatrix (n);
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146
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147 const octave_idx_type *p = data ();
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148 Array<octave_idx_type> res_pvec (n, 1, -1);
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149 octave_idx_type *q = res_pvec.fortran_vec ();
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150
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151 for (octave_idx_type ics = 0; ics < n; ics++)
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152 {
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153 if (q[ics] > 0)
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154 continue;
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155
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156 // go forward m steps or until a cycle is found.
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157 octave_idx_type ic, j;
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158 for (j = 1, ic = p[ics]; j != m && ic != ics; j++, ic = p[ic]) ;
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159 if (ic == ics)
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160 {
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161 // reduce power.
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162 octave_idx_type mm = m % j;
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163 // go forward mm steps.
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164 for (j = 0, ic = ics; j != mm; j++, ic = p[ic]) ;
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165 }
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166
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167 // now ic = p^m[ics]. Loop through the whole cycle.
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168 octave_idx_type jcs = ics;
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169 do
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170 {
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171 q[jcs] = ic;
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172 jcs = p[jcs]; ic = p[ic];
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173 }
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174 while (jcs != ics);
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175
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176 }
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177
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178 return PermMatrix (res_pvec, res_colp, false);
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179 }
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180
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181 PermMatrix
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182 PermMatrix::eye (octave_idx_type n)
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183 {
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184 Array<octave_idx_type> p(n, 1);
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185 for (octave_idx_type i = 0; i < n; i++)
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186 p(i) = i;
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187
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188 return PermMatrix (p, false, false);
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189 }
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190
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191 PermMatrix
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192 operator *(const PermMatrix& a, const PermMatrix& b)
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193 {
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194 const Array<octave_idx_type> ia = a.pvec (), ib = b.pvec ();
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195 PermMatrix r;
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196 octave_idx_type n = a.columns ();
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197 if (n != b.rows ())
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198 gripe_nonconformant ("operator *", n, n, b.rows (), b.rows ());
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199 else if (a._colp == b._colp)
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200 {
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201 r = PermMatrix ((a._colp
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202 ? ia.index (idx_vector (ib))
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203 : ib.index (idx_vector (ia))), a._colp, false);
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204 }
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205 else
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206 {
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207 Array<octave_idx_type> ra (n, 1);
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208 if (a._colp)
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209 ra.assign (idx_vector (ib), ia);
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210 else
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211 ra.assign (idx_vector (ia), ib);
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212 r = PermMatrix (ra, a._colp, false);
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213 }
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214
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215 return r;
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216 }