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annotate liboctave/array/PermMatrix.cc @ 21120:499b851fbfae

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Replace pattern if/err_XXX/else/code with if/err_XXX/ code. * schur.cc, ov-complex.h, ov-cx-mat.cc, ov-cx-sparse.cc, ov-float.h, ov-flt-complex.h, ov-flt-cx-mat.cc, ov-flt-re-mat.cc, ov-range.cc, ov-re-mat.cc, ov-re-sparse.cc, ov-scalar.h, ov-str-mat.cc, ops.h, pt-idx.cc, Array.cc, CColVector.cc, CMatrix.cc, CRowVector.cc, MSparse.cc, PermMatrix.cc, Sparse.cc, dColVector.cc, dMatrix.cc, dRowVector.cc, dSparse.cc, fCColVector.cc, fCMatrix.cc, fCRowVector.cc, fColVector.cc, fMatrix.cc, fRowVector.cc: Replace pattern if/err_XXX/else/code with if/err_XXX/ code.
author Rik <rik@octave.org>
date Wed, 20 Jan 2016 16:58:59 -0800
parents dfcb9d74b253
children 228b65504557
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
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1 /*
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2
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3 Copyright (C) 2008-2015 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 OCTAVE_NORETURN static
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33 void
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34 err_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 void
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41 PermMatrix::setup (const Array<octave_idx_type>& p, bool colp, bool check)
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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.numel ()))
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46 {
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47 err_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 if (! colp)
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53 *this = this->transpose ();
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54 }
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55
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56 PermMatrix::PermMatrix (const Array<octave_idx_type>& p)
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57 : Array<octave_idx_type> (p)
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58 {
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59 setup (p, false, true);
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60 }
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61
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62 PermMatrix::PermMatrix (const Array<octave_idx_type>& p, bool colp, bool check)
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63 : Array<octave_idx_type> (p)
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64 {
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65 setup (p, colp, check);
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66 }
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67
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68 void
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69 PermMatrix::setup (const idx_vector& idx, bool colp, octave_idx_type n)
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70 {
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71 octave_idx_type len = idx.length (n);
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72
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73 if (! idx.is_permutation (len))
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74 err_invalid_permutation ();
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75
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76 Array<octave_idx_type> idxa (dim_vector (len, 1));
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77 for (octave_idx_type i = 0; i < len; i++) idxa(i) = idx(i);
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78 Array<octave_idx_type>::operator = (idxa);
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79
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80 if (! colp)
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81 *this = this->transpose ();
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82 }
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83
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84 PermMatrix::PermMatrix (const idx_vector& idx)
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85 : Array<octave_idx_type> ()
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86 {
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87 setup (idx, false, 0);
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88 }
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89
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90 PermMatrix::PermMatrix (const idx_vector& idx, bool colp, octave_idx_type n)
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91 : Array<octave_idx_type> ()
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92 {
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93 setup (idx, colp, n);
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94 }
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95
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96 PermMatrix::PermMatrix (octave_idx_type n)
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97 : Array<octave_idx_type> (dim_vector (n, 1))
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98 {
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99 for (octave_idx_type i = 0; i < n; i++)
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100 xelem (i) = i;
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101 }
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102
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103 octave_idx_type
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104 PermMatrix::checkelem (octave_idx_type i, octave_idx_type j) const
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105 {
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106 octave_idx_type len = Array<octave_idx_type>::numel ();
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107 if (i < 0 || j < 0 || i > len || j > len)
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108 {
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109 (*current_liboctave_error_handler) ("index out of range");
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110 return 0;
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111 }
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112 else
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113 return elem (i, j);
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114 }
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115
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116
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117 PermMatrix
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118 PermMatrix::transpose (void) const
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119 {
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120 octave_idx_type len = Array<octave_idx_type>::numel ();
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121
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122 PermMatrix retval (len);
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123
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124 for (octave_idx_type i = 0; i < len; ++i)
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125 retval.xelem (xelem (i)) = i;
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126
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127 return retval;
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128 }
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129
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130 PermMatrix
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131 PermMatrix::inverse (void) const
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132 {
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133 return transpose ();
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134 }
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135
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136 octave_idx_type
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137 PermMatrix::determinant (void) const
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138 {
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139 // Determine the sign of a permutation in linear time.
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140 // Is this widely known?
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141
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142 octave_idx_type len = perm_length ();
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143 const octave_idx_type *pa = data ();
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144
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145 OCTAVE_LOCAL_BUFFER (octave_idx_type, p, len);
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146 OCTAVE_LOCAL_BUFFER (octave_idx_type, q, len);
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147
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148 for (octave_idx_type i = 0; i < len; i++)
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149 {
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150 p[i] = pa[i];
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151 q[p[i]] = i;
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152 }
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153
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154 bool neg = false;
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155
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156 for (octave_idx_type i = 0; i < len; i++)
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157 {
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158 octave_idx_type j = p[i];
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159 octave_idx_type k = q[i];
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160 if (j != i)
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161 {
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162 p[k] = p[i];
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163 q[j] = q[i];
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164 neg = ! neg;
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165 }
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166 }
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167
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168 return neg ? -1 : 1;
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169 }
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170
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171 PermMatrix
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172 PermMatrix::power(octave_idx_type m) const
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173 {
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174 if (m < 0)
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175 return inverse ().pos_power (-m);
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176 else if (m > 0)
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177 return pos_power (m);
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178 else
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179 return PermMatrix (rows ());
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180 }
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181
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182 PermMatrix
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183 PermMatrix::pos_power (octave_idx_type m) const
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184 {
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185 octave_idx_type n = rows ();
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186
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187 const octave_idx_type *p = data ();
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188 Array<octave_idx_type> res_pvec (dim_vector (n, 1), -1);
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189 octave_idx_type *q = res_pvec.fortran_vec ();
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190
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191 for (octave_idx_type ics = 0; ics < n; ics++)
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192 {
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193 if (q[ics] > 0)
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194 continue;
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195
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196 // go forward m steps or until a cycle is found.
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197 octave_idx_type ic, j;
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198 for (j = 1, ic = p[ics]; j != m && ic != ics; j++, ic = p[ic]) ;
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199 if (ic == ics)
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200 {
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201 // reduce power.
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202 octave_idx_type mm = m % j;
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203 // go forward mm steps.
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204 for (j = 0, ic = ics; j != mm; j++, ic = p[ic]) ;
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205 }
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206
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207 // now ic = p^m[ics]. Loop through the whole cycle.
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208 octave_idx_type jcs = ics;
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209 do
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210 {
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211 q[jcs] = ic;
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212 jcs = p[jcs]; ic = p[ic];
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213 }
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214 while (jcs != ics);
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215
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216 }
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217
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218 return PermMatrix (res_pvec, true, false);
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219 }
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220
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221 PermMatrix
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222 PermMatrix::eye (octave_idx_type n)
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223 {
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224 return PermMatrix (n);
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225 }
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226
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227 PermMatrix
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228 operator *(const PermMatrix& a, const PermMatrix& b)
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229 {
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230 PermMatrix r;
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231
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232 const Array<octave_idx_type> ia = a.col_perm_vec ();
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233 const Array<octave_idx_type> ib = b.col_perm_vec ();
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234
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235 octave_idx_type n = a.columns ();
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236
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237 if (n != b.rows ())
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238 err_nonconformant ("operator *", n, n, b.rows (), b.rows ());
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239
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240 r = PermMatrix (ia.index (idx_vector (ib)), true, false);
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241
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242 return r;
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243 }