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1 /* |
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2 |
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3 Copyright (C) 2005 David Bateman |
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4 |
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5 Octave is free software; you can redistribute it and/or modify it |
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6 under the terms of the GNU General Public License as published by the |
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7 Free Software Foundation; either version 2, or (at your option) any |
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8 later version. |
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9 |
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10 Octave is distributed in the hope that it will be useful, but WITHOUT |
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11 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or |
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12 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License |
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13 for more details. |
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14 |
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15 You should have received a copy of the GNU General Public License |
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16 along with this program; see the file COPYING. If not, write to the Free |
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17 Software Foundation, 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. |
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18 |
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19 */ |
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20 |
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21 #ifdef HAVE_CONFIG_H |
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22 #include <config.h> |
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23 #endif |
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24 |
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25 #include <algorithm> |
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26 |
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27 #include "ov.h" |
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28 #include "defun-dld.h" |
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29 #include "error.h" |
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30 #include "ov-re-sparse.h" |
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31 #include "ov-cx-sparse.h" |
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32 #include "SparseType.h" |
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33 |
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34 DEFUN_DLD (matrix_type, args, , |
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35 "-*- texinfo -*-\n\ |
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36 @deftypefn {Loadable Function} {@var{type} =} matrix_type (@var{a})\n\ |
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37 @deftypefnx {Loadable Function} {@var{a} =} matrix_type (@var{a}, @var{type})\n\ |
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38 @deftypefnx {Loadable Function} {@var{a} =} matrix_type (@var{a}, 'upper', @var{perm})\n\ |
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39 @deftypefnx {Loadable Function} {@var{a} =} matrix_type (@var{a}, 'lower', @var{perm})\n\ |
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40 @deftypefnx {Loadable Function} {@var{a} =} matrix_type (@var{a}, 'banded', @var{nl}, @var{nu})\n\ |
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41 Identify the matrix type or mark a matrix as a particular type. This allows rapid\n\ |
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42 for solutions of linear equations involving @var{a} to be performed. Called with a\n\ |
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43 single argument, @code{matrix_type} returns the type of the matrix and caches it for\n\ |
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44 future use. Called with more than one argument, @code{matrix_type} allows the type\n\ |
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45 of the matrix to be defined.\n\ |
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46 \n\ |
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47 The possible matrix types depend on whether the matrix is full or sparse, and can be\n\ |
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48 one of the following\n\ |
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49 \n\ |
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50 @table @asis\n\ |
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51 @item 'unknown'\n\ |
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52 Remove any previously cached matrix type, and mark type as unknown\n\ |
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53 \n\ |
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54 @item 'full'\n\ |
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55 Mark the matrix as full.\n\ |
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56 \n\ |
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57 @item 'positive definite'\n\ |
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58 Full positive definite matrix.\n\ |
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59 \n\ |
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60 @item 'diagonal'\n\ |
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61 Diagonal Matrix. (Sparse matrices only)\n\ |
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62 \n\ |
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63 @item 'permuted diagonal'\n\ |
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64 Permuted Diagonal matrix. The permutation does not need to be specifically\n\ |
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65 indicated, as the structure of the matrix explicitly gives this. (Sparse matrices\n\ |
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66 only)\n\ |
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67 \n\ |
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68 @item 'upper'\n\ |
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69 Upper triangular. If the optional third argument @var{perm} is given, the matrix is\n\ |
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70 assumed to be a permuted upper triangular with the permutations defined by the\n\ |
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71 vector @var{perm}.\n\ |
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72 \n\ |
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73 @item 'lower'\n\ |
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74 Lower triangular. If the optional third argument @var{perm} is given, the matrix is\n\ |
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75 assumed to be a permuted lower triangular with the permutations defined by the\n\ |
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76 vector @var{perm}.\n\ |
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77 \n\ |
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78 @item 'banded'\n\ |
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79 @itemx 'banded positive definite'\n\ |
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80 Banded matrix with the band size of @var{nl} below the diagonal and @var{nu} above\n\ |
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81 it. If @var{nl} and @var{nu} are 1, then the matrix is tridiagonal and treated\n\ |
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82 with specialized code. In addition the matrix can be marked as positive definite\n\ |
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83 (Sparse matrices only)\n\ |
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84 \n\ |
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85 @item 'singular'\n\ |
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86 The matrix is assumed to be singular and will be treated with a minimum norm solution\n\ |
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87 \n\ |
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88 @end table\n\ |
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89 \n\ |
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90 Note that the matrix type will be discovered automatically on the first attempt to\n\ |
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91 solve a linear equation involving @var{a}. Therefore @code{matrix_type} is only\n\ |
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92 useful to give Octave hints of the matrix type. Incorrectly defining the\n\ |
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93 matrix type will result in incorrect results from solutions of linear equations,\n\ |
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94 and so it is entirely the responsibility of the user to correctly indentify the\n\ |
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95 matrix type.\n\ |
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96 @end deftypefn") |
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97 { |
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98 int nargin = args.length (); |
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99 octave_value retval; |
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100 |
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101 if (nargin == 0) |
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102 print_usage ("matrix_type"); |
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103 else if (nargin > 4) |
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104 error ("matrix_type: incorrect number of arguments"); |
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105 else |
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106 { |
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107 if (args(0).class_name () == "sparse") |
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108 { |
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109 if (nargin == 1) |
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110 { |
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111 SparseType mattyp; |
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112 const octave_value& rep = args(0).get_rep (); |
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113 |
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114 if (args(0).type_name () == "sparse complex matrix" ) |
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115 { |
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116 mattyp = |
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117 ((const octave_sparse_complex_matrix &)rep).sparse_type (); |
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118 |
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119 if (mattyp.is_unknown ()) |
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120 { |
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121 mattyp = SparseType (args(0).sparse_complex_matrix_value ()); |
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122 ((octave_sparse_complex_matrix &)rep).sparse_type (mattyp); |
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123 } |
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124 } |
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125 else |
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126 { |
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127 mattyp = ((const octave_sparse_matrix &)rep).sparse_type (); |
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128 |
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129 if (mattyp.is_unknown ()) |
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130 { |
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131 mattyp = SparseType (args(0).sparse_matrix_value ()); |
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132 ((octave_sparse_matrix &)rep).sparse_type (mattyp); |
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133 } |
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134 } |
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135 |
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136 int typ = mattyp.type (); |
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137 |
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138 if (typ == SparseType::Diagonal) |
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139 retval = octave_value ("Diagonal"); |
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140 else if (typ == SparseType::Permuted_Diagonal) |
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141 retval = octave_value ("Permuted Diagonal"); |
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142 else if (typ == SparseType::Upper) |
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143 retval = octave_value ("Upper"); |
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144 else if (typ == SparseType::Permuted_Upper) |
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145 retval = octave_value ("Permuted Upper"); |
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146 else if (typ == SparseType::Lower) |
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147 retval = octave_value ("Lower"); |
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148 else if (typ == SparseType::Permuted_Lower) |
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149 retval = octave_value ("Permuted Lower"); |
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150 else if (typ == SparseType::Banded) |
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151 retval = octave_value ("Banded"); |
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152 else if (typ == SparseType::Banded_Hermitian) |
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153 retval = octave_value ("Banded Positive Definite"); |
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154 else if (typ == SparseType::Tridiagonal) |
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155 retval = octave_value ("Tridiagonal"); |
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156 else if (typ == SparseType::Tridiagonal_Hermitian) |
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157 retval = octave_value ("Tridiagonal Positive Definite"); |
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158 else if (typ == SparseType::Hermitian) |
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159 retval = octave_value ("Positive Definite"); |
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160 else if (typ == SparseType::Full) |
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161 retval = octave_value ("Full"); |
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162 else |
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163 // This should never happen!!! |
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164 retval = octave_value ("Unknown"); |
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165 } |
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166 else |
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167 { |
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168 // Ok, we're changing the matrix type |
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169 std::string str_typ = args(1).string_value (); |
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170 |
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171 // XXX FIXME, why do I have to explicitly call the constructor? |
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172 SparseType mattyp = SparseType (); |
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173 |
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174 int nl = 0; |
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175 int nu = 0; |
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176 |
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177 if (error_state) |
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178 error ("Matrix type must be a string"); |
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179 else |
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180 { |
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181 // Use STL function to convert to lower case |
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182 std::transform (str_typ.begin (), str_typ.end (), |
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183 str_typ.begin (), std::tolower); |
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184 |
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185 if (str_typ == "diagonal") |
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186 mattyp.mark_as_diagonal (); |
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187 if (str_typ == "permuted diagonal") |
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188 mattyp.mark_as_permuted_diagonal (); |
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189 else if (str_typ == "upper") |
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190 mattyp.mark_as_upper_triangular (); |
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191 else if (str_typ == "lower") |
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192 mattyp.mark_as_lower_triangular (); |
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193 else if (str_typ == "banded" || str_typ == "banded positive definite") |
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194 { |
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195 if (nargin != 4) |
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196 error ("matrix_type: banded matrix type requires 4 arguments"); |
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197 else |
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198 { |
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199 nl = args(2).nint_value (); |
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200 nu = args(3).nint_value (); |
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201 |
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202 if (error_state) |
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203 error ("matrix_type: band size must be integer"); |
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204 else |
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205 { |
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206 if (nl == 1 && nu == 1) |
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207 mattyp.mark_as_tridiagonal (); |
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208 else |
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209 mattyp.mark_as_banded (nu, nl); |
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210 |
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211 if (str_typ == "banded positive definite") |
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212 mattyp.mark_as_symmetric (); |
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213 } |
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214 } |
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215 } |
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216 else if (str_typ == "positive definite") |
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217 { |
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218 mattyp.mark_as_full (); |
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219 mattyp.mark_as_symmetric (); |
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220 } |
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221 else if (str_typ == "singular") |
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222 mattyp.mark_as_rectangular (); |
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223 else if (str_typ == "full") |
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224 mattyp.mark_as_full (); |
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225 else if (str_typ == "unknown") |
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226 mattyp.invalidate_type (); |
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227 else |
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228 error ("matrix_type: Unknown matrix type %s", str_typ.c_str()); |
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229 |
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230 if (! error_state) |
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231 { |
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232 if (nargin == 3 && (str_typ == "upper" || str_typ == "lower")) |
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233 { |
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234 const ColumnVector perm = |
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235 ColumnVector (args (2).vector_value ()); |
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236 |
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237 if (error_state) |
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238 error ("matrix_type: Invalid permutation vector"); |
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239 else |
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240 { |
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241 int len = perm.length (); |
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242 dim_vector dv = args(0).dims (); |
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243 |
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244 if (len != dv(0)) |
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245 error ("matrix_type: Invalid permutation vector"); |
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246 else |
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247 { |
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248 OCTAVE_LOCAL_BUFFER (octave_idx_type, p, len); |
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249 |
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250 for (int i = 0; i < len; i++) |
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251 p[i] = (int) (perm (i)); |
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252 |
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253 if (str_typ == "upper") |
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254 mattyp.mark_as_permuted (len, p); |
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255 else |
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256 mattyp.mark_as_permuted (len, p); |
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257 } |
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258 } |
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259 } |
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260 else if (nargin != 2 && str_typ != "banded positive definite" && |
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261 str_typ != "banded") |
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262 error ("matrix_type: Invalid number of arguments"); |
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263 |
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264 if (! error_state) |
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265 { |
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266 // Set the matrix type |
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267 if (args(0).type_name () == "sparse complex matrix" ) |
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268 retval = |
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269 octave_value (args(0).sparse_complex_matrix_value (), |
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270 mattyp); |
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271 else |
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272 retval = octave_value (args(0).sparse_matrix_value (), |
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273 mattyp); |
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274 } |
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275 } |
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276 } |
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277 } |
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278 } |
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279 else |
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280 error ("matrix_type: Only sparse matrices treated at the moment"); |
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281 } |
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282 |
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283 return retval; |
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284 } |
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285 |
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286 /* |
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287 ;;; Local Variables: *** |
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288 ;;; mode: C++ *** |
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289 ;;; End: *** |
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290 */ |
