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1 /* |
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2 |
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3 Copyright (C) 2004 David Bateman |
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4 Copyright (C) 1998-2004 Andy Adler |
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5 |
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6 Octave is free software; you can redistribute it and/or modify it |
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7 under the terms of the GNU General Public License as published by the |
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8 Free Software Foundation; either version 2, or (at your option) any |
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9 later version. |
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10 |
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11 Octave is distributed in the hope that it will be useful, but WITHOUT |
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12 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or |
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13 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License |
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14 for more details. |
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15 |
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16 You should have received a copy of the GNU General Public License |
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17 along with this program; see the file COPYING. If not, write to the Free |
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18 Software Foundation, 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. |
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19 |
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20 */ |
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21 |
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22 #ifdef HAVE_CONFIG_H |
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23 #include <config.h> |
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24 #endif |
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25 |
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26 #include "SparseType.h" |
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27 #include "dSparse.h" |
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28 #include "CSparse.h" |
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29 #include "oct-spparms.h" |
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30 |
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31 // XXX FIXME XXX There is a large code duplication here |
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32 |
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33 SparseType::SparseType (const SparseType &a) : typ (a.typ), |
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34 sp_bandden (a.sp_bandden), bandden (a.bandden), |
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35 upper_band (a.upper_band), lower_band (a.lower_band), |
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36 dense (a.dense), nperm (a.nperm) |
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37 { |
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38 if (nperm != 0) |
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39 { |
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40 row_perm = new octave_idx_type [nperm]; |
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41 col_perm = new octave_idx_type [nperm]; |
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42 for (octave_idx_type i = 0; i < nperm; i++) |
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43 { |
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44 row_perm[i] = a.row_perm[i]; |
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45 col_perm[i] = a.col_perm[i]; |
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46 } |
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47 } |
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48 } |
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49 |
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50 SparseType::SparseType (const SparseMatrix &a) |
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51 { |
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52 octave_idx_type nrows = a.rows (); |
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53 octave_idx_type ncols = a.cols (); |
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54 octave_idx_type nnz = a.nnz (); |
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55 |
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56 nperm = 0; |
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57 |
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58 if (nrows != ncols) |
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59 typ = SparseType::Rectangular; |
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60 else |
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61 { |
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62 sp_bandden = Voctave_sparse_controls.get_key ("bandden"); |
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63 bool maybe_hermitian = false; |
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64 typ = SparseType::Full; |
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65 |
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66 if (nnz == ncols) |
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67 { |
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68 matrix_type tmp_typ = SparseType::Diagonal; |
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69 octave_idx_type i; |
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70 // Maybe the matrix is diagonal |
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71 for (i = 0; i < ncols; i++) |
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72 { |
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73 if (a.cidx(i+1) != a.cidx(i) + 1) |
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74 { |
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75 tmp_typ = Full; |
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76 break; |
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77 } |
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78 if (a.ridx(i) != i) |
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79 { |
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80 tmp_typ = SparseType::Permuted_Diagonal; |
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81 break; |
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82 } |
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83 } |
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84 |
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85 if (tmp_typ == SparseType::Permuted_Diagonal) |
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86 { |
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87 bool found [ncols]; |
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88 |
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89 for (octave_idx_type j = 0; j < i; j++) |
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90 found [j] = true; |
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91 for (octave_idx_type j = i; j < ncols; j++) |
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92 found [j] = false; |
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93 |
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94 for (octave_idx_type j = i; j < ncols; j++) |
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95 { |
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96 if ((a.cidx(j+1) != a.cidx(j) + 1) || found [a.ridx(j)]) |
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97 { |
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98 tmp_typ = Full; |
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99 break; |
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100 } |
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101 found [a.ridx(j)] = true; |
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102 } |
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103 } |
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104 typ = tmp_typ; |
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105 } |
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106 |
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107 if (typ == Full) |
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108 { |
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109 // Search for banded, upper and lower triangular matrices |
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110 bool singular = false; |
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111 upper_band = 0; |
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112 lower_band = 0; |
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113 for (octave_idx_type j = 0; j < ncols; j++) |
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114 { |
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115 bool zero_on_diagonal = true; |
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116 for (octave_idx_type i = a.cidx(j); i < a.cidx(j+1); i++) |
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117 if (a.ridx(i) == j) |
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118 { |
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119 zero_on_diagonal = false; |
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120 break; |
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121 } |
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122 |
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123 if (zero_on_diagonal) |
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124 { |
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125 singular = true; |
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126 break; |
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127 } |
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128 |
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129 if (a.cidx(j+1) - a.cidx(j) > 0) |
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130 { |
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131 octave_idx_type ru = a.ridx(a.cidx(j)); |
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132 octave_idx_type rl = a.ridx(a.cidx(j+1)-1); |
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133 |
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134 if (j - ru > upper_band) |
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135 upper_band = j - ru; |
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136 |
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137 if (rl - j > lower_band) |
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138 lower_band = rl - j; |
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139 } |
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140 } |
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141 |
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142 if (!singular) |
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143 { |
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144 bandden = double (nnz) / |
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145 (double (ncols) * (double (lower_band) + |
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146 double (upper_band)) - |
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147 0.5 * double (upper_band + 1) * double (upper_band) - |
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148 0.5 * double (lower_band + 1) * double (lower_band)); |
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149 |
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150 if (sp_bandden != 1. && bandden > sp_bandden) |
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151 { |
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152 if (upper_band == 1 && lower_band == 1) |
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153 typ = SparseType::Tridiagonal; |
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154 else |
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155 typ = SparseType::Banded; |
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156 |
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157 octave_idx_type nnz_in_band = (upper_band + lower_band + 1) * nrows - |
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158 (1 + upper_band) * upper_band / 2 - |
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159 (1 + lower_band) * lower_band / 2; |
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160 if (nnz_in_band == nnz) |
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161 dense = true; |
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162 else |
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163 dense = false; |
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164 } |
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165 else if (upper_band == 0) |
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166 typ = SparseType::Lower; |
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167 else if (lower_band == 0) |
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168 typ = SparseType::Upper; |
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169 |
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170 if (upper_band == lower_band) |
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171 maybe_hermitian = true; |
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172 } |
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173 |
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174 if (typ == Full) |
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175 { |
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176 // Search for a permuted triangular matrix, and test if |
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177 // permutation is singular |
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178 |
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179 // XXX FIXME XXX Write this test based on dmperm |
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180 |
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181 } |
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182 } |
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183 |
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184 if (maybe_hermitian && (typ == Full || typ == Tridiagonal || |
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185 typ == Banded)) |
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186 { |
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187 // Check for symmetry, with positive real diagonal, which |
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188 // has a very good chance of being symmetric positive |
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189 // definite.. |
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190 bool is_herm = true; |
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191 |
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192 for (octave_idx_type j = 0; j < ncols; j++) |
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193 { |
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194 bool diag_positive = false; |
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195 |
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196 for (octave_idx_type i = a.cidx(j); i < a.cidx(j+1); i++) |
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197 { |
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198 octave_idx_type ri = a.ridx(i); |
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199 |
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200 if (ri == j) |
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201 { |
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202 if (a.data(i) == std::abs(a.data(i))) |
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203 diag_positive = true; |
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204 else |
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205 break; |
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206 } |
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207 else |
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208 { |
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209 bool found = false; |
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210 |
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211 for (octave_idx_type k = a.cidx(ri); k < a.cidx(ri+1); k++) |
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212 { |
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213 if (a.ridx(k) == j) |
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214 { |
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215 if (a.data(i) == conj (a.data(k))) |
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216 found = true; |
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217 break; |
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218 } |
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219 } |
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220 |
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221 if (! found) |
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222 { |
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223 is_herm = false; |
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224 break; |
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225 } |
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226 } |
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227 } |
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228 |
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229 if (! diag_positive || ! is_herm) |
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230 { |
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231 is_herm = false; |
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232 break; |
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233 } |
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234 } |
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235 |
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236 if (is_herm) |
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237 { |
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238 if (typ == Full) |
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239 typ = Hermitian; |
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240 else if (typ == Banded) |
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241 typ = Banded_Hermitian; |
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242 else |
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243 typ = Tridiagonal_Hermitian; |
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244 } |
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245 } |
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246 } |
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247 } |
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248 |
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249 SparseType::SparseType (const SparseComplexMatrix &a) |
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250 { |
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251 octave_idx_type nrows = a.rows (); |
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252 octave_idx_type ncols = a.cols (); |
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253 octave_idx_type nnz = a.nnz (); |
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254 |
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255 nperm = 0; |
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256 |
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257 if (nrows != ncols) |
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258 typ = SparseType::Rectangular; |
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259 else |
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260 { |
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261 sp_bandden = Voctave_sparse_controls.get_key ("bandden"); |
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262 bool maybe_hermitian = false; |
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263 typ = SparseType::Full; |
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264 |
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265 if (nnz == ncols) |
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266 { |
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267 matrix_type tmp_typ = SparseType::Diagonal; |
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268 octave_idx_type i; |
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269 // Maybe the matrix is diagonal |
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270 for (i = 0; i < ncols; i++) |
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271 { |
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272 if (a.cidx(i+1) != a.cidx(i) + 1) |
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273 { |
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274 tmp_typ = Full; |
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275 break; |
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276 } |
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277 if (a.ridx(i) != i) |
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278 { |
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279 tmp_typ = SparseType::Permuted_Diagonal; |
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280 break; |
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281 } |
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282 } |
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283 |
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284 if (tmp_typ == SparseType::Permuted_Diagonal) |
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285 { |
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286 bool found [ncols]; |
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287 |
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288 for (octave_idx_type j = 0; j < i; j++) |
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289 found [j] = true; |
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290 for (octave_idx_type j = i; j < ncols; j++) |
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291 found [j] = false; |
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292 |
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293 for (octave_idx_type j = i; j < ncols; j++) |
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294 { |
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295 if ((a.cidx(j+1) != a.cidx(j) + 1) || found [a.ridx(j)]) |
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296 { |
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297 tmp_typ = Full; |
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298 break; |
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299 } |
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300 found [a.ridx(j)] = true; |
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301 } |
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302 } |
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303 typ = tmp_typ; |
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304 } |
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305 |
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306 if (typ == Full) |
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307 { |
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308 // Search for banded, upper and lower triangular matrices |
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309 bool singular = false; |
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310 upper_band = 0; |
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311 lower_band = 0; |
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312 for (octave_idx_type j = 0; j < ncols; j++) |
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313 { |
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314 bool zero_on_diagonal = true; |
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315 for (octave_idx_type i = a.cidx(j); i < a.cidx(j+1); i++) |
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316 if (a.ridx(i) == j) |
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317 { |
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318 zero_on_diagonal = false; |
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319 break; |
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320 } |
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321 |
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322 if (zero_on_diagonal) |
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323 { |
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324 singular = true; |
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325 break; |
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326 } |
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327 |
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328 if (a.cidx(j+1) - a.cidx(j) > 0) |
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329 { |
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330 octave_idx_type ru = a.ridx(a.cidx(j)); |
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331 octave_idx_type rl = a.ridx(a.cidx(j+1)-1); |
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332 |
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333 if (j - ru > upper_band) |
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334 upper_band = j - ru; |
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335 |
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336 if (rl - j > lower_band) |
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337 lower_band = rl - j; |
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338 } |
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339 } |
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340 |
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341 if (!singular) |
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342 { |
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343 bandden = double (nnz) / |
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344 (double (ncols) * (double (lower_band) + |
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345 double (upper_band)) - |
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346 0.5 * double (upper_band + 1) * double (upper_band) - |
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347 0.5 * double (lower_band + 1) * double (lower_band)); |
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348 |
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349 if (sp_bandden != 1. && bandden > sp_bandden) |
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350 { |
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351 if (upper_band == 1 && lower_band == 1) |
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352 typ = SparseType::Tridiagonal; |
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353 else |
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354 typ = SparseType::Banded; |
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355 |
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356 octave_idx_type nnz_in_band = (upper_band + lower_band + 1) * nrows - |
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357 (1 + upper_band) * upper_band / 2 - |
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358 (1 + lower_band) * lower_band / 2; |
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359 if (nnz_in_band == nnz) |
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360 dense = true; |
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361 else |
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362 dense = false; |
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363 } |
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364 else if (upper_band == 0) |
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365 typ = SparseType::Lower; |
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366 else if (lower_band == 0) |
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367 typ = SparseType::Upper; |
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368 |
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369 if (upper_band == lower_band) |
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370 maybe_hermitian = true; |
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371 } |
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372 |
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373 if (typ == Full) |
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374 { |
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375 // Search for a permuted triangular matrix, and test if |
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376 // permutation is singular |
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377 |
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378 // XXX FIXME XXX Write this test based on dmperm |
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379 |
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380 } |
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381 } |
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382 |
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383 if (maybe_hermitian && (typ == Full || typ == Tridiagonal || |
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384 typ == Banded)) |
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385 { |
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386 // Check for symmetry, with positive real diagonal, which |
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387 // has a very good chance of being symmetric positive |
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388 // definite.. |
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389 bool is_herm = true; |
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390 |
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391 for (octave_idx_type j = 0; j < ncols; j++) |
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392 { |
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393 bool diag_positive = false; |
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394 |
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395 for (octave_idx_type i = a.cidx(j); i < a.cidx(j+1); i++) |
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396 { |
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397 octave_idx_type ri = a.ridx(i); |
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398 |
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399 if (ri == j) |
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400 { |
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401 if (a.data(i) == std::abs(a.data(i))) |
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402 diag_positive = true; |
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403 else |
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404 break; |
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405 } |
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406 else |
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407 { |
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408 bool found = false; |
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409 |
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410 for (octave_idx_type k = a.cidx(ri); k < a.cidx(ri+1); k++) |
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411 { |
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412 if (a.ridx(k) == j) |
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413 { |
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414 if (a.data(i) == a.data(k)) |
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415 found = true; |
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416 break; |
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417 } |
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418 } |
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419 |
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420 if (! found) |
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421 { |
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422 is_herm = false; |
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423 break; |
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424 } |
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425 } |
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426 } |
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427 |
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428 if (! diag_positive || ! is_herm) |
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429 { |
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430 is_herm = false; |
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431 break; |
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432 } |
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433 } |
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434 |
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435 if (is_herm) |
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436 { |
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437 if (typ == Full) |
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438 typ = Hermitian; |
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439 else if (typ == Banded) |
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440 typ = Banded_Hermitian; |
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441 else |
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442 typ = Tridiagonal_Hermitian; |
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443 } |
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444 } |
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445 } |
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446 } |
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447 |
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448 SparseType::~SparseType (void) |
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449 { |
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450 if (nperm != 0) |
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451 { |
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452 delete [] row_perm; |
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453 delete [] col_perm; |
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454 } |
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455 } |
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456 |
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457 SparseType& |
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458 SparseType::operator = (const SparseType& a) |
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459 { |
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460 if (this != &a) |
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461 { |
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462 typ = a.typ; |
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463 sp_bandden = a.sp_bandden; |
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464 bandden = a.bandden; |
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465 upper_band = a.upper_band; |
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466 lower_band = a.lower_band; |
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467 dense = a.dense; |
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468 nperm = a.nperm; |
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469 |
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470 if (nperm != 0) |
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471 { |
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472 row_perm = new octave_idx_type [nperm]; |
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473 col_perm = new octave_idx_type [nperm]; |
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474 for (octave_idx_type i = 0; i < nperm; i++) |
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475 { |
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476 row_perm[i] = a.row_perm[i]; |
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477 col_perm[i] = a.col_perm[i]; |
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478 } |
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479 } |
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480 |
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481 } |
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482 return *this; |
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483 } |
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484 |
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485 int |
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486 SparseType::type (const SparseMatrix &a) |
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487 { |
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488 if (typ != SparseType::Unknown && |
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489 sp_bandden == Voctave_sparse_controls.get_key ("bandden")) |
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490 { |
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491 if (Voctave_sparse_controls.get_key ("spumoni") != 0.) |
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492 (*current_liboctave_warning_handler) |
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493 ("Using Cached Sparse Matrix Type"); |
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494 |
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495 return typ; |
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496 } |
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497 |
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498 if (Voctave_sparse_controls.get_key ("spumoni") != 0.) |
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499 (*current_liboctave_warning_handler) |
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500 ("Calculating Sparse Matrix Type"); |
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501 |
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502 |
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503 SparseType tmp_typ (a); |
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504 typ = tmp_typ.typ; |
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505 sp_bandden = tmp_typ.sp_bandden; |
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506 bandden = tmp_typ.bandden; |
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507 upper_band = tmp_typ.upper_band; |
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508 lower_band = tmp_typ.lower_band; |
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509 dense = tmp_typ.dense; |
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510 nperm = tmp_typ.nperm; |
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511 |
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512 if (nperm != 0) |
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513 { |
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514 row_perm = new octave_idx_type [nperm]; |
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515 col_perm = new octave_idx_type [nperm]; |
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516 for (octave_idx_type i = 0; i < nperm; i++) |
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517 { |
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518 row_perm[i] = tmp_typ.row_perm[i]; |
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519 col_perm[i] = tmp_typ.col_perm[i]; |
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520 } |
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521 } |
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522 |
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523 return typ; |
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524 } |
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525 |
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526 int |
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527 SparseType::type (const SparseComplexMatrix &a) |
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528 { |
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529 if (typ != SparseType::Unknown && |
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530 sp_bandden == Voctave_sparse_controls.get_key ("bandden")) |
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531 { |
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532 if (Voctave_sparse_controls.get_key ("spumoni") != 0.) |
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533 (*current_liboctave_warning_handler) |
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534 ("Using Cached Sparse Matrix Type"); |
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535 |
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536 return typ; |
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537 } |
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538 |
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539 if (Voctave_sparse_controls.get_key ("spumoni") != 0.) |
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540 (*current_liboctave_warning_handler) |
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541 ("Calculating Sparse Matrix Type"); |
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542 |
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543 |
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544 SparseType tmp_typ (a); |
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545 typ = tmp_typ.typ; |
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546 sp_bandden = tmp_typ.sp_bandden; |
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547 bandden = tmp_typ.bandden; |
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548 upper_band = tmp_typ.upper_band; |
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549 lower_band = tmp_typ.lower_band; |
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550 dense = tmp_typ.dense; |
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551 nperm = tmp_typ.nperm; |
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552 |
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553 if (nperm != 0) |
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554 { |
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555 row_perm = new octave_idx_type [nperm]; |
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556 col_perm = new octave_idx_type [nperm]; |
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557 for (octave_idx_type i = 0; i < nperm; i++) |
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558 { |
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559 row_perm[i] = tmp_typ.row_perm[i]; |
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560 col_perm[i] = tmp_typ.col_perm[i]; |
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561 } |
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562 } |
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563 |
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564 return typ; |
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565 } |
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566 |
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567 void |
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568 SparseType::info (void) const |
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569 { |
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570 if (Voctave_sparse_controls.get_key ("spumoni") != 0.) |
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571 { |
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572 if (typ == SparseType::Unknown) |
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573 (*current_liboctave_warning_handler) |
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574 ("Unknown Sparse Matrix Type"); |
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575 else if (typ == SparseType::Diagonal) |
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576 (*current_liboctave_warning_handler) |
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577 ("Diagonal Sparse Matrix"); |
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578 else if (typ == SparseType::Permuted_Diagonal) |
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579 (*current_liboctave_warning_handler) |
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580 ("Permuted Diagonal Sparse Matrix"); |
|
581 else if (typ == SparseType::Upper) |
|
582 (*current_liboctave_warning_handler) |
|
583 ("Upper Triangular Sparse Matrix"); |
|
584 else if (typ == SparseType::Lower) |
|
585 (*current_liboctave_warning_handler) |
|
586 ("Lower Triangular Sparse Matrix"); |
|
587 else if (typ == SparseType::Permuted_Upper) |
|
588 (*current_liboctave_warning_handler) |
|
589 ("Permuted Upper Triangular Sparse Matrix"); |
|
590 else if (typ == SparseType::Permuted_Lower) |
|
591 (*current_liboctave_warning_handler) |
|
592 ("Permuted Lower Triangular Sparse Matrix"); |
|
593 else if (typ == SparseType::Banded) |
|
594 (*current_liboctave_warning_handler) |
|
595 ("Banded Sparse Matrix %g-1-%g (Density %g)", lower_band, |
|
596 upper_band, bandden); |
|
597 else if (typ == SparseType::Banded_Hermitian) |
|
598 (*current_liboctave_warning_handler) |
|
599 ("Banded Hermitian/Symmetric Sparse Matrix %g-1-%g (Density %g)", |
|
600 lower_band, upper_band, bandden); |
|
601 else if (typ == SparseType::Hermitian) |
|
602 (*current_liboctave_warning_handler) |
|
603 ("Hermitian/Symmetric Sparse Matrix"); |
|
604 else if (typ == SparseType::Tridiagonal) |
|
605 (*current_liboctave_warning_handler) |
|
606 ("Tridiagonal Sparse Matrix"); |
|
607 else if (typ == SparseType::Tridiagonal_Hermitian) |
|
608 (*current_liboctave_warning_handler) |
|
609 ("Hermitian/Symmetric Tridiagonal Sparse Matrix"); |
|
610 else if (typ == SparseType::Rectangular) |
|
611 (*current_liboctave_warning_handler) |
|
612 ("Rectangular Sparse Matrix"); |
|
613 else if (typ == SparseType::Full) |
|
614 (*current_liboctave_warning_handler) |
|
615 ("Full Sparse Matrix"); |
|
616 } |
|
617 } |
|
618 |
|
619 void |
|
620 SparseType::mark_as_symmetric (void) |
|
621 { |
|
622 if (typ == SparseType::Tridiagonal || |
|
623 typ == SparseType::Tridiagonal_Hermitian) |
|
624 typ = SparseType::Tridiagonal_Hermitian; |
|
625 else if (typ == SparseType::Banded || |
|
626 typ == SparseType::Banded_Hermitian) |
|
627 typ = SparseType::Banded_Hermitian; |
|
628 else if (typ == SparseType::Full || typ == SparseType::Hermitian || |
|
629 typ == SparseType::Unknown) |
|
630 typ = SparseType::Hermitian; |
|
631 else |
|
632 (*current_liboctave_error_handler) |
|
633 ("Can not mark current matrix type as symmetric"); |
|
634 } |
|
635 |
|
636 void |
|
637 SparseType::mark_as_unsymmetric (void) |
|
638 { |
|
639 if (typ == SparseType::Tridiagonal || |
|
640 typ == SparseType::Tridiagonal_Hermitian) |
|
641 typ = SparseType::Tridiagonal; |
|
642 else if (typ == SparseType::Banded || |
|
643 typ == SparseType::Banded_Hermitian) |
|
644 typ = SparseType::Banded; |
|
645 else if (typ == SparseType::Full || typ == SparseType::Hermitian || |
|
646 typ == SparseType::Unknown) |
|
647 typ = SparseType::Full; |
|
648 } |
|
649 |
|
650 void |
5275
|
651 SparseType::mark_as_permuted (const octave_idx_type np, const octave_idx_type *pr, const octave_idx_type *pc) |
5164
|
652 { |
|
653 nperm = np; |
5275
|
654 row_perm = new octave_idx_type [nperm]; |
|
655 col_perm = new octave_idx_type [nperm]; |
|
656 for (octave_idx_type i = 0; i < nperm; i++) |
5164
|
657 { |
|
658 row_perm[i] = pr[i]; |
|
659 col_perm[i] = pc[i]; |
|
660 } |
|
661 |
|
662 if (typ == SparseType::Diagonal || typ == SparseType::Permuted_Diagonal) |
|
663 typ = SparseType::Permuted_Diagonal; |
|
664 else if (typ == SparseType::Upper || typ == SparseType::Permuted_Upper) |
|
665 typ = SparseType::Permuted_Upper; |
|
666 else if (typ == SparseType::Lower || typ == SparseType::Permuted_Lower) |
|
667 typ = SparseType::Permuted_Lower; |
|
668 else |
|
669 (*current_liboctave_error_handler) |
|
670 ("Can not mark current matrix type as symmetric"); |
|
671 } |
|
672 |
|
673 void |
|
674 SparseType::mark_as_unpermuted (void) |
|
675 { |
|
676 if (nperm) |
|
677 { |
|
678 nperm = 0; |
|
679 delete [] row_perm; |
|
680 delete [] col_perm; |
|
681 } |
|
682 |
|
683 if (typ == SparseType::Diagonal || typ == SparseType::Permuted_Diagonal) |
|
684 typ = SparseType::Diagonal; |
|
685 else if (typ == SparseType::Upper || typ == SparseType::Permuted_Upper) |
|
686 typ = SparseType::Upper; |
|
687 else if (typ == SparseType::Lower || typ == SparseType::Permuted_Lower) |
|
688 typ = SparseType::Lower; |
|
689 } |
|
690 |
5282
|
691 SparseType |
|
692 SparseType::transpose (void) const |
|
693 { |
|
694 SparseType retval (*this); |
|
695 if (typ == SparseType::Upper) |
|
696 retval.typ = Lower; |
|
697 else if (typ == SparseType::Permuted_Upper) |
|
698 { |
|
699 int *tmp = retval.row_perm; |
|
700 retval.row_perm = retval.col_perm; |
|
701 retval.col_perm = tmp; |
|
702 retval.typ = Lower; |
|
703 } |
|
704 else if (typ == SparseType::Lower) |
|
705 retval.typ = Upper; |
|
706 else if (typ == SparseType::Permuted_Upper) |
|
707 { |
|
708 int *tmp = retval.row_perm; |
|
709 retval.row_perm = retval.col_perm; |
|
710 retval.col_perm = tmp; |
|
711 retval.typ = Upper; |
|
712 } |
|
713 else if (typ == SparseType::Banded) |
|
714 { |
|
715 retval.upper_band = lower_band; |
|
716 retval.lower_band = upper_band; |
|
717 } |
|
718 |
|
719 return retval; |
|
720 } |
|
721 |
5164
|
722 /* |
|
723 ;;; Local Variables: *** |
|
724 ;;; mode: C++ *** |
|
725 ;;; End: *** |
|
726 */ |
|
727 |