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annotate src/sparse-xdiv.cc @ 9151:d8f9588c6ba1

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author John W. Eaton <jwe@octave.org>
date Thu, 23 Apr 2009 16:05:52 -0400
parents 0631d397fbe0
children c229bfb14d8d
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1 /*
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2
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3 Copyright (C) 2004, 2005, 2006, 2007 David Bateman
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4 Copyright (C) 1998, 1999, 2000, 2001, 2002, 2003, 2004 Andy Adler
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5
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6 This file is part of Octave.
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7
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8 Octave is free software; you can redistribute it and/or modify it
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9 under the terms of the GNU General Public License as published by the
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10 Free Software Foundation; either version 3 of the License, or (at your
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11 option) any later version.
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12
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13 Octave is distributed in the hope that it will be useful, but WITHOUT
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14 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
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15 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
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16 for more details.
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17
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18 You should have received a copy of the GNU General Public License
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19 along with Octave; see the file COPYING. If not, see
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20 <http://www.gnu.org/licenses/>.
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21
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22 */
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23
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24 #ifdef HAVE_CONFIG_H
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25 #include <config.h>
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26 #endif
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27
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28 #include <cassert>
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29
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30 #include "Array-util.h"
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31 #include "oct-cmplx.h"
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32 #include "quit.h"
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33 #include "error.h"
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34 #include "lo-ieee.h"
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35
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36 #include "dSparse.h"
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37 #include "dDiagMatrix.h"
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38 #include "CSparse.h"
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39 #include "CDiagMatrix.h"
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40 #include "oct-spparms.h"
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41 #include "sparse-xdiv.h"
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42
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43 static void
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44 solve_singularity_warning (double rcond)
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45 {
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46 warning ("matrix singular to machine precision, rcond = %g", rcond);
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47 warning ("attempting to find minimum norm solution");
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48 }
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49
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50 template <class T1, class T2>
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51 bool
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52 mx_leftdiv_conform (const T1& a, const T2& b)
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53 {
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54 octave_idx_type a_nr = a.rows ();
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55 octave_idx_type b_nr = b.rows ();
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56
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57 if (a_nr != b_nr)
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58 {
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59 octave_idx_type a_nc = a.cols ();
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60 octave_idx_type b_nc = b.cols ();
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61
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62 gripe_nonconformant ("operator \\", a_nr, a_nc, b_nr, b_nc);
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63 return false;
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64 }
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65
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66 return true;
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67 }
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68
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69 #define INSTANTIATE_MX_LEFTDIV_CONFORM(T1, T2) \
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70 template bool mx_leftdiv_conform (const T1&, const T2&)
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71
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72 INSTANTIATE_MX_LEFTDIV_CONFORM (SparseMatrix, SparseMatrix);
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73 INSTANTIATE_MX_LEFTDIV_CONFORM (SparseMatrix, SparseComplexMatrix);
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74 INSTANTIATE_MX_LEFTDIV_CONFORM (SparseComplexMatrix, SparseMatrix);
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75 INSTANTIATE_MX_LEFTDIV_CONFORM (SparseComplexMatrix, SparseComplexMatrix);
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76 INSTANTIATE_MX_LEFTDIV_CONFORM (SparseMatrix, Matrix);
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77 INSTANTIATE_MX_LEFTDIV_CONFORM (SparseMatrix, ComplexMatrix);
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78 INSTANTIATE_MX_LEFTDIV_CONFORM (SparseComplexMatrix, Matrix);
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79 INSTANTIATE_MX_LEFTDIV_CONFORM (SparseComplexMatrix, ComplexMatrix);
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80 INSTANTIATE_MX_LEFTDIV_CONFORM (DiagMatrix, SparseMatrix);
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81 INSTANTIATE_MX_LEFTDIV_CONFORM (DiagMatrix, SparseComplexMatrix);
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82 INSTANTIATE_MX_LEFTDIV_CONFORM (ComplexDiagMatrix, SparseMatrix);
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83 INSTANTIATE_MX_LEFTDIV_CONFORM (ComplexDiagMatrix, SparseComplexMatrix);
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84
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85 template <class T1, class T2>
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86 bool
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87 mx_div_conform (const T1& a, const T2& b)
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88 {
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89 octave_idx_type a_nc = a.cols ();
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90 octave_idx_type b_nc = b.cols ();
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91
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92 if (a_nc != b_nc)
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93 {
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94 octave_idx_type a_nr = a.rows ();
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95 octave_idx_type b_nr = b.rows ();
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96
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97 gripe_nonconformant ("operator /", a_nr, a_nc, b_nr, b_nc);
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98 return false;
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99 }
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100
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101 return true;
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102 }
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103
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104 #define INSTANTIATE_MX_DIV_CONFORM(T1, T2) \
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105 template bool mx_div_conform (const T1&, const T2&)
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106
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107 INSTANTIATE_MX_DIV_CONFORM (SparseMatrix, SparseMatrix);
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108 INSTANTIATE_MX_DIV_CONFORM (SparseMatrix, SparseComplexMatrix);
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109 INSTANTIATE_MX_DIV_CONFORM (SparseComplexMatrix, SparseMatrix);
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110 INSTANTIATE_MX_DIV_CONFORM (SparseComplexMatrix, SparseComplexMatrix);
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111 INSTANTIATE_MX_DIV_CONFORM (Matrix, SparseMatrix);
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112 INSTANTIATE_MX_DIV_CONFORM (Matrix, SparseComplexMatrix);
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113 INSTANTIATE_MX_DIV_CONFORM (ComplexMatrix, SparseMatrix);
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114 INSTANTIATE_MX_DIV_CONFORM (ComplexMatrix, SparseComplexMatrix);
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115 INSTANTIATE_MX_DIV_CONFORM (SparseMatrix, DiagMatrix);
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116 INSTANTIATE_MX_DIV_CONFORM (SparseMatrix, ComplexDiagMatrix);
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117 INSTANTIATE_MX_DIV_CONFORM (SparseComplexMatrix, DiagMatrix);
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118 INSTANTIATE_MX_DIV_CONFORM (SparseComplexMatrix, ComplexDiagMatrix);
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119
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120 // Right division functions. X / Y = X * inv(Y) = (inv (Y') * X')'
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121 //
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122 // Y / X: m cm sm scm
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123 // +-- +---+----+----+----+
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124 // sparse matrix | 1 | 3 | 5 | 7 |
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125 // +---+----+----+----+
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126 // sparse complex_matrix | 2 | 4 | 6 | 8 |
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127 // +---+----+----+----+
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128 // diagonal matrix | 9 | 11 |
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129 // +----+----+
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130 // complex diag. matrix | 10 | 12 |
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131 // +----+----+
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132
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133 // -*- 1 -*-
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134 Matrix
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135 xdiv (const Matrix& a, const SparseMatrix& b, MatrixType &typ)
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136 {
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137 if (! mx_div_conform (a, b))
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138 return Matrix ();
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139
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140 Matrix atmp = a.transpose ();
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141 SparseMatrix btmp = b.transpose ();
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142 MatrixType btyp = typ.transpose ();
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143
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144 octave_idx_type info;
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145 double rcond = 0.0;
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146 Matrix result = btmp.solve (btyp, atmp, info, rcond,
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147 solve_singularity_warning);
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148
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149 typ = btyp.transpose ();
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150 return result.transpose ();
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151 }
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152
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153 // -*- 2 -*-
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154 ComplexMatrix
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155 xdiv (const Matrix& a, const SparseComplexMatrix& b, MatrixType &typ)
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156 {
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157 if (! mx_div_conform (a, b))
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158 return ComplexMatrix ();
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159
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160 Matrix atmp = a.transpose ();
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161 SparseComplexMatrix btmp = b.hermitian ();
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162 MatrixType btyp = typ.transpose ();
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163
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164 octave_idx_type info;
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165 double rcond = 0.0;
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166 ComplexMatrix result
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167 = btmp.solve (btyp, atmp, info, rcond, solve_singularity_warning);
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168
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169 typ = btyp.transpose ();
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170 return result.hermitian ();
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171 }
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172
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173 // -*- 3 -*-
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174 ComplexMatrix
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175 xdiv (const ComplexMatrix& a, const SparseMatrix& b, MatrixType &typ)
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176 {
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177 if (! mx_div_conform (a, b))
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178 return ComplexMatrix ();
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179
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180 ComplexMatrix atmp = a.hermitian ();
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181 SparseMatrix btmp = b.transpose ();
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182 MatrixType btyp = typ.transpose ();
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183
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184 octave_idx_type info;
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185 double rcond = 0.0;
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186 ComplexMatrix result
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187 = btmp.solve (btyp, atmp, info, rcond, solve_singularity_warning);
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188
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189 typ = btyp.transpose ();
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190 return result.hermitian ();
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191 }
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192
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193 // -*- 4 -*-
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194 ComplexMatrix
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195 xdiv (const ComplexMatrix& a, const SparseComplexMatrix& b, MatrixType &typ)
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196 {
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197 if (! mx_div_conform (a, b))
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198 return ComplexMatrix ();
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199
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200 ComplexMatrix atmp = a.hermitian ();
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201 SparseComplexMatrix btmp = b.hermitian ();
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202 MatrixType btyp = typ.transpose ();
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203
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204 octave_idx_type info;
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205 double rcond = 0.0;
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206 ComplexMatrix result
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207 = btmp.solve (btyp, atmp, info, rcond, solve_singularity_warning);
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208
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209 typ = btyp.transpose ();
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210 return result.hermitian ();
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211 }
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212
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213 // -*- 5 -*-
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214 SparseMatrix
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215 xdiv (const SparseMatrix& a, const SparseMatrix& b, MatrixType &typ)
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216 {
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217 if (! mx_div_conform (a, b))
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218 return SparseMatrix ();
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219
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220 SparseMatrix atmp = a.transpose ();
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221 SparseMatrix btmp = b.transpose ();
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222 MatrixType btyp = typ.transpose ();
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223
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224 octave_idx_type info;
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225 double rcond = 0.0;
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226 SparseMatrix result = btmp.solve (btyp, atmp, info, rcond,
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227 solve_singularity_warning);
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228
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229 typ = btyp.transpose ();
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230 return result.transpose ();
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231 }
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232
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233 // -*- 6 -*-
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234 SparseComplexMatrix
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235 xdiv (const SparseMatrix& a, const SparseComplexMatrix& b, MatrixType &typ)
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236 {
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237 if (! mx_div_conform (a, b))
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238 return SparseComplexMatrix ();
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239
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240 SparseMatrix atmp = a.transpose ();
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241 SparseComplexMatrix btmp = b.hermitian ();
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242 MatrixType btyp = typ.transpose ();
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243
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244 octave_idx_type info;
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245 double rcond = 0.0;
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246 SparseComplexMatrix result
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247 = btmp.solve (btyp, atmp, info, rcond, solve_singularity_warning);
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248
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249 typ = btyp.transpose ();
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250 return result.hermitian ();
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251 }
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252
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253 // -*- 7 -*-
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254 SparseComplexMatrix
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255 xdiv (const SparseComplexMatrix& a, const SparseMatrix& b, MatrixType &typ)
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256 {
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257 if (! mx_div_conform (a, b))
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258 return SparseComplexMatrix ();
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259
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260 SparseComplexMatrix atmp = a.hermitian ();
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261 SparseMatrix btmp = b.transpose ();
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262 MatrixType btyp = typ.transpose ();
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263
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264 octave_idx_type info;
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265 double rcond = 0.0;
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266 SparseComplexMatrix result
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267 = btmp.solve (btyp, atmp, info, rcond, solve_singularity_warning);
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268
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269 typ = btyp.transpose ();
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270 return result.hermitian ();
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271 }
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272
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273 // -*- 8 -*-
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274 SparseComplexMatrix
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275 xdiv (const SparseComplexMatrix& a, const SparseComplexMatrix& b, MatrixType &typ)
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276 {
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277 if (! mx_div_conform (a, b))
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278 return SparseComplexMatrix ();
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279
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280 SparseComplexMatrix atmp = a.hermitian ();
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281 SparseComplexMatrix btmp = b.hermitian ();
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282 MatrixType btyp = typ.transpose ();
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283
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284 octave_idx_type info;
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285 double rcond = 0.0;
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286 SparseComplexMatrix result
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287 = btmp.solve (btyp, atmp, info, rcond, solve_singularity_warning);
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288
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289 typ = btyp.transpose ();
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290 return result.hermitian ();
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291 }
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292
8965
42aff15e059b Implement diag \ sparse and sparse / diag.
Jason Riedy <jason@acm.org>
parents: 7017
diff changeset
293 template <typename RT, typename SM, typename DM>
42aff15e059b Implement diag \ sparse and sparse / diag.
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294 RT do_rightdiv_sm_dm (const SM& a, const DM& d)
42aff15e059b Implement diag \ sparse and sparse / diag.
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295 {
42aff15e059b Implement diag \ sparse and sparse / diag.
Jason Riedy <jason@acm.org>
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diff changeset
296 const octave_idx_type d_nr = d.rows ();
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diff changeset
297
42aff15e059b Implement diag \ sparse and sparse / diag.
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diff changeset
298 const octave_idx_type a_nr = a.rows ();
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299 const octave_idx_type a_nc = a.cols ();
42aff15e059b Implement diag \ sparse and sparse / diag.
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300
42aff15e059b Implement diag \ sparse and sparse / diag.
Jason Riedy <jason@acm.org>
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diff changeset
301 using std::min;
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302 const octave_idx_type nc = min (d_nr, a_nc);
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303
42aff15e059b Implement diag \ sparse and sparse / diag.
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304 if ( ! mx_div_conform (a, d))
42aff15e059b Implement diag \ sparse and sparse / diag.
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305 return RT ();
42aff15e059b Implement diag \ sparse and sparse / diag.
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306
42aff15e059b Implement diag \ sparse and sparse / diag.
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307 const octave_idx_type nz = a.nnz ();
42aff15e059b Implement diag \ sparse and sparse / diag.
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308 RT r (a_nr, nc, nz);
42aff15e059b Implement diag \ sparse and sparse / diag.
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309
42aff15e059b Implement diag \ sparse and sparse / diag.
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310 const typename DM::element_type zero = typename DM::element_type ();
42aff15e059b Implement diag \ sparse and sparse / diag.
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311
42aff15e059b Implement diag \ sparse and sparse / diag.
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312 octave_idx_type k_result = 0;
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313 for (octave_idx_type j = 0; j < nc; ++j)
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314 {
42aff15e059b Implement diag \ sparse and sparse / diag.
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315 OCTAVE_QUIT;
42aff15e059b Implement diag \ sparse and sparse / diag.
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diff changeset
316 const typename DM::element_type s = d.dgelem (j);
42aff15e059b Implement diag \ sparse and sparse / diag.
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317 const octave_idx_type colend = a.cidx (j+1);
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318 r.xcidx (j) = k_result;
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319 if (s != zero)
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320 for (octave_idx_type k = a.cidx (j); k < colend; ++k)
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321 {
42aff15e059b Implement diag \ sparse and sparse / diag.
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322 r.xdata (k_result) = a.data (k) / s;
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323 r.xridx (k_result) = a.ridx (k);
42aff15e059b Implement diag \ sparse and sparse / diag.
Jason Riedy <jason@acm.org>
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324 ++k_result;
42aff15e059b Implement diag \ sparse and sparse / diag.
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325 }
42aff15e059b Implement diag \ sparse and sparse / diag.
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326 }
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327 r.xcidx (nc) = k_result;
42aff15e059b Implement diag \ sparse and sparse / diag.
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328
42aff15e059b Implement diag \ sparse and sparse / diag.
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329 r.maybe_compress (true);
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330 return r;
42aff15e059b Implement diag \ sparse and sparse / diag.
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331 }
42aff15e059b Implement diag \ sparse and sparse / diag.
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332
42aff15e059b Implement diag \ sparse and sparse / diag.
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333 // -*- 9 -*-
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334 SparseMatrix
42aff15e059b Implement diag \ sparse and sparse / diag.
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335 xdiv (const SparseMatrix& a, const DiagMatrix& b, MatrixType &)
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336 {
42aff15e059b Implement diag \ sparse and sparse / diag.
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337 return do_rightdiv_sm_dm<SparseMatrix> (a, b);
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338 }
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339
42aff15e059b Implement diag \ sparse and sparse / diag.
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340 // -*- 10 -*-
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341 SparseComplexMatrix
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342 xdiv (const SparseMatrix& a, const ComplexDiagMatrix& b, MatrixType &)
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343 {
42aff15e059b Implement diag \ sparse and sparse / diag.
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344 return do_rightdiv_sm_dm<SparseComplexMatrix> (a, b);
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345 }
42aff15e059b Implement diag \ sparse and sparse / diag.
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346
42aff15e059b Implement diag \ sparse and sparse / diag.
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347 // -*- 11 -*-
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348 SparseComplexMatrix
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349 xdiv (const SparseComplexMatrix& a, const DiagMatrix& b, MatrixType &)
42aff15e059b Implement diag \ sparse and sparse / diag.
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350 {
42aff15e059b Implement diag \ sparse and sparse / diag.
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351 return do_rightdiv_sm_dm<SparseComplexMatrix> (a, b);
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352 }
42aff15e059b Implement diag \ sparse and sparse / diag.
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353
42aff15e059b Implement diag \ sparse and sparse / diag.
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354 // -*- 12 -*-
42aff15e059b Implement diag \ sparse and sparse / diag.
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355 SparseComplexMatrix
42aff15e059b Implement diag \ sparse and sparse / diag.
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diff changeset
356 xdiv (const SparseComplexMatrix& a, const ComplexDiagMatrix& b, MatrixType &)
42aff15e059b Implement diag \ sparse and sparse / diag.
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357 {
42aff15e059b Implement diag \ sparse and sparse / diag.
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358 return do_rightdiv_sm_dm<SparseComplexMatrix> (a, b);
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359 }
42aff15e059b Implement diag \ sparse and sparse / diag.
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360
5164
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361 // Funny element by element division operations.
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362 //
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363 // op2 \ op1: s cs
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364 // +-- +---+----+
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365 // matrix | 1 | 3 |
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366 // +---+----+
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367 // complex_matrix | 2 | 4 |
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368 // +---+----+
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369
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370 Matrix
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371 x_el_div (double a, const SparseMatrix& b)
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372 {
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373 octave_idx_type nr = b.rows ();
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374 octave_idx_type nc = b.cols ();
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375
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376 Matrix result;
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377 if (a == 0.)
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378 result = Matrix (nr, nc, octave_NaN);
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
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379 else if (a > 0.)
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380 result = Matrix (nr, nc, octave_Inf);
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381 else
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382 result = Matrix (nr, nc, -octave_Inf);
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383
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diff changeset
384
5275
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385 for (octave_idx_type j = 0; j < nc; j++)
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386 for (octave_idx_type i = b.cidx(j); i < b.cidx(j+1); i++)
5164
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387 {
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388 OCTAVE_QUIT;
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389 result.elem (b.ridx(i), j) = a / b.data (i);
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390 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
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391
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
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392 return result;
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
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393 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
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394
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
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diff changeset
395 ComplexMatrix
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
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396 x_el_div (double a, const SparseComplexMatrix& b)
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397 {
5275
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diff changeset
398 octave_idx_type nr = b.rows ();
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diff changeset
399 octave_idx_type nc = b.cols ();
5164
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400
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
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diff changeset
401 ComplexMatrix result (nr, nc, Complex(octave_NaN, octave_NaN));
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diff changeset
402
5275
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diff changeset
403 for (octave_idx_type j = 0; j < nc; j++)
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diff changeset
404 for (octave_idx_type i = b.cidx(j); i < b.cidx(j+1); i++)
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
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diff changeset
405 {
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
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diff changeset
406 OCTAVE_QUIT;
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
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diff changeset
407 result.elem (b.ridx(i), j) = a / b.data (i);
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408 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
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diff changeset
409
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
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diff changeset
410 return result;
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
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diff changeset
411 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
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diff changeset
412
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
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diff changeset
413 ComplexMatrix
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
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diff changeset
414 x_el_div (const Complex a, const SparseMatrix& b)
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diff changeset
415 {
5275
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diff changeset
416 octave_idx_type nr = b.rows ();
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diff changeset
417 octave_idx_type nc = b.cols ();
5164
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diff changeset
418
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diff changeset
419 ComplexMatrix result (nr, nc, (a / 0.0));
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
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diff changeset
420
5275
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diff changeset
421 for (octave_idx_type j = 0; j < nc; j++)
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diff changeset
422 for (octave_idx_type i = b.cidx(j); i < b.cidx(j+1); i++)
5164
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diff changeset
423 {
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
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diff changeset
424 OCTAVE_QUIT;
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diff changeset
425 result.elem (b.ridx(i), j) = a / b.data (i);
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
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diff changeset
426 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
427
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
428 return result;
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
429 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
430
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
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diff changeset
431 ComplexMatrix
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
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diff changeset
432 x_el_div (const Complex a, const SparseComplexMatrix& b)
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parents:
diff changeset
433 {
5275
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diff changeset
434 octave_idx_type nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
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diff changeset
435 octave_idx_type nc = b.cols ();
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
436
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
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diff changeset
437 ComplexMatrix result (nr, nc, (a / 0.0));
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
438
5275
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diff changeset
439 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
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diff changeset
440 for (octave_idx_type i = b.cidx(j); i < b.cidx(j+1); i++)
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
441 {
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
442 OCTAVE_QUIT;
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
443 result.elem (b.ridx(i), j) = a / b.data (i);
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
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diff changeset
444 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
445
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
446 return result;
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
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diff changeset
447 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
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diff changeset
448
8965
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diff changeset
449 // Left division functions. X \ Y = inv(X) * Y
5164
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diff changeset
450 //
8965
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diff changeset
451 // Y \ X : sm scm dm dcm
5164
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diff changeset
452 // +-- +---+----+
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
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diff changeset
453 // matrix | 1 | 5 |
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
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parents:
diff changeset
454 // +---+----+
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
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diff changeset
455 // complex_matrix | 2 | 6 |
8965
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Jason Riedy <jason@acm.org>
parents: 7017
diff changeset
456 // +---+----+----+----+
42aff15e059b Implement diag \ sparse and sparse / diag.
Jason Riedy <jason@acm.org>
parents: 7017
diff changeset
457 // sparse matrix | 3 | 7 | 9 | 11 |
42aff15e059b Implement diag \ sparse and sparse / diag.
Jason Riedy <jason@acm.org>
parents: 7017
diff changeset
458 // +---+----+----+----+
42aff15e059b Implement diag \ sparse and sparse / diag.
Jason Riedy <jason@acm.org>
parents: 7017
diff changeset
459 // sparse complex_matrix | 4 | 8 | 10 | 12 |
42aff15e059b Implement diag \ sparse and sparse / diag.
Jason Riedy <jason@acm.org>
parents: 7017
diff changeset
460 // +---+----+----+----+
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
461
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
462 // -*- 1 -*-
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
463 Matrix
5785
6b9cec830d72 [project @ 2006-05-03 19:32:46 by dbateman]
dbateman
parents: 5681
diff changeset
464 xleftdiv (const SparseMatrix& a, const Matrix& b, MatrixType &typ)
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
465 {
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
466 if (! mx_leftdiv_conform (a, b))
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
467 return Matrix ();
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
468
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
469 octave_idx_type info;
5681
233d98d95659 [project @ 2006-03-16 17:48:55 by dbateman]
dbateman
parents: 5610
diff changeset
470 double rcond = 0.0;
233d98d95659 [project @ 2006-03-16 17:48:55 by dbateman]
dbateman
parents: 5610
diff changeset
471 return a.solve (typ, b, info, rcond, solve_singularity_warning);
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
472 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
473
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
474 // -*- 2 -*-
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
475 ComplexMatrix
5785
6b9cec830d72 [project @ 2006-05-03 19:32:46 by dbateman]
dbateman
parents: 5681
diff changeset
476 xleftdiv (const SparseMatrix& a, const ComplexMatrix& b, MatrixType &typ)
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
477 {
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
478 if (! mx_leftdiv_conform (a, b))
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
479 return ComplexMatrix ();
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
480
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
481 octave_idx_type info;
5681
233d98d95659 [project @ 2006-03-16 17:48:55 by dbateman]
dbateman
parents: 5610
diff changeset
482 double rcond = 0.0;
233d98d95659 [project @ 2006-03-16 17:48:55 by dbateman]
dbateman
parents: 5610
diff changeset
483 return a.solve (typ, b, info, rcond, solve_singularity_warning);
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
484 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
485
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
486 // -*- 3 -*-
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
487 SparseMatrix
5785
6b9cec830d72 [project @ 2006-05-03 19:32:46 by dbateman]
dbateman
parents: 5681
diff changeset
488 xleftdiv (const SparseMatrix& a, const SparseMatrix& b, MatrixType &typ)
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
489 {
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
490 if (! mx_leftdiv_conform (a, b))
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
491 return SparseMatrix ();
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
492
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
493 octave_idx_type info;
5681
233d98d95659 [project @ 2006-03-16 17:48:55 by dbateman]
dbateman
parents: 5610
diff changeset
494 double rcond = 0.0;
233d98d95659 [project @ 2006-03-16 17:48:55 by dbateman]
dbateman
parents: 5610
diff changeset
495 return a.solve (typ, b, info, rcond, solve_singularity_warning);
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
496 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
497
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
498 // -*- 4 -*-
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
499 SparseComplexMatrix
5785
6b9cec830d72 [project @ 2006-05-03 19:32:46 by dbateman]
dbateman
parents: 5681
diff changeset
500 xleftdiv (const SparseMatrix& a, const SparseComplexMatrix& b, MatrixType &typ)
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
501 {
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
502 if (! mx_leftdiv_conform (a, b))
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
503 return SparseComplexMatrix ();
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
504
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
505 octave_idx_type info;
5681
233d98d95659 [project @ 2006-03-16 17:48:55 by dbateman]
dbateman
parents: 5610
diff changeset
506 double rcond = 0.0;
233d98d95659 [project @ 2006-03-16 17:48:55 by dbateman]
dbateman
parents: 5610
diff changeset
507 return a.solve (typ, b, info, rcond, solve_singularity_warning);
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
508 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
509
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
510 // -*- 5 -*-
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
511 ComplexMatrix
5785
6b9cec830d72 [project @ 2006-05-03 19:32:46 by dbateman]
dbateman
parents: 5681
diff changeset
512 xleftdiv (const SparseComplexMatrix& a, const Matrix& b, MatrixType &typ)
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
513 {
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
514 if (! mx_leftdiv_conform (a, b))
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
515 return ComplexMatrix ();
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
516
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
517 octave_idx_type info;
5681
233d98d95659 [project @ 2006-03-16 17:48:55 by dbateman]
dbateman
parents: 5610
diff changeset
518 double rcond = 0.0;
233d98d95659 [project @ 2006-03-16 17:48:55 by dbateman]
dbateman
parents: 5610
diff changeset
519 return a.solve (typ, b, info, rcond, solve_singularity_warning);
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
520 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
521
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
522 // -*- 6 -*-
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
523 ComplexMatrix
5785
6b9cec830d72 [project @ 2006-05-03 19:32:46 by dbateman]
dbateman
parents: 5681
diff changeset
524 xleftdiv (const SparseComplexMatrix& a, const ComplexMatrix& b, MatrixType &typ)
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
525 {
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
526 if (! mx_leftdiv_conform (a, b))
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
527 return ComplexMatrix ();
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
528
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
529 octave_idx_type info;
5681
233d98d95659 [project @ 2006-03-16 17:48:55 by dbateman]
dbateman
parents: 5610
diff changeset
530 double rcond = 0.0;
233d98d95659 [project @ 2006-03-16 17:48:55 by dbateman]
dbateman
parents: 5610
diff changeset
531 return a.solve (typ, b, info, rcond, solve_singularity_warning);
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
532 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
533
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
534 // -*- 7 -*-
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
535 SparseComplexMatrix
5785
6b9cec830d72 [project @ 2006-05-03 19:32:46 by dbateman]
dbateman
parents: 5681
diff changeset
536 xleftdiv (const SparseComplexMatrix& a, const SparseMatrix& b, MatrixType &typ)
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
537 {
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
538 if (! mx_leftdiv_conform (a, b))
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
539 return SparseComplexMatrix ();
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
540
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
541 octave_idx_type info;
5681
233d98d95659 [project @ 2006-03-16 17:48:55 by dbateman]
dbateman
parents: 5610
diff changeset
542 double rcond = 0.0;
233d98d95659 [project @ 2006-03-16 17:48:55 by dbateman]
dbateman
parents: 5610
diff changeset
543 return a.solve (typ, b, info, rcond, solve_singularity_warning);
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
544 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
545
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
546 // -*- 8 -*-
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
547 SparseComplexMatrix
5322
22994a5730f9 [project @ 2005-04-29 13:04:24 by dbateman]
dbateman
parents: 5307
diff changeset
548 xleftdiv (const SparseComplexMatrix& a, const SparseComplexMatrix& b,
5785
6b9cec830d72 [project @ 2006-05-03 19:32:46 by dbateman]
dbateman
parents: 5681
diff changeset
549 MatrixType &typ)
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
550 {
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
551 if (! mx_leftdiv_conform (a, b))
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
552 return SparseComplexMatrix ();
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
553
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
554 octave_idx_type info;
5681
233d98d95659 [project @ 2006-03-16 17:48:55 by dbateman]
dbateman
parents: 5610
diff changeset
555 double rcond = 0.0;
233d98d95659 [project @ 2006-03-16 17:48:55 by dbateman]
dbateman
parents: 5610
diff changeset
556 return a.solve (typ, b, info, rcond, solve_singularity_warning);
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
557 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
558
8965
42aff15e059b Implement diag \ sparse and sparse / diag.
Jason Riedy <jason@acm.org>
parents: 7017
diff changeset
559 template <typename RT, typename DM, typename SM>
42aff15e059b Implement diag \ sparse and sparse / diag.
Jason Riedy <jason@acm.org>
parents: 7017
diff changeset
560 RT do_leftdiv_dm_sm (const DM& d, const SM& a)
42aff15e059b Implement diag \ sparse and sparse / diag.
Jason Riedy <jason@acm.org>
parents: 7017
diff changeset
561 {
42aff15e059b Implement diag \ sparse and sparse / diag.
Jason Riedy <jason@acm.org>
parents: 7017
diff changeset
562 const octave_idx_type a_nr = a.rows ();
42aff15e059b Implement diag \ sparse and sparse / diag.
Jason Riedy <jason@acm.org>
parents: 7017
diff changeset
563 const octave_idx_type a_nc = a.cols ();
42aff15e059b Implement diag \ sparse and sparse / diag.
Jason Riedy <jason@acm.org>
parents: 7017
diff changeset
564
42aff15e059b Implement diag \ sparse and sparse / diag.
Jason Riedy <jason@acm.org>
parents: 7017
diff changeset
565 const octave_idx_type d_nc = d.cols ();
42aff15e059b Implement diag \ sparse and sparse / diag.
Jason Riedy <jason@acm.org>
parents: 7017
diff changeset
566
42aff15e059b Implement diag \ sparse and sparse / diag.
Jason Riedy <jason@acm.org>
parents: 7017
diff changeset
567 using std::min;
42aff15e059b Implement diag \ sparse and sparse / diag.
Jason Riedy <jason@acm.org>
parents: 7017
diff changeset
568 const octave_idx_type nr = min (d_nc, a_nr);
42aff15e059b Implement diag \ sparse and sparse / diag.
Jason Riedy <jason@acm.org>
parents: 7017
diff changeset
569
42aff15e059b Implement diag \ sparse and sparse / diag.
Jason Riedy <jason@acm.org>
parents: 7017
diff changeset
570 if ( ! mx_leftdiv_conform (d, a))
42aff15e059b Implement diag \ sparse and sparse / diag.
Jason Riedy <jason@acm.org>
parents: 7017
diff changeset
571 return RT ();
42aff15e059b Implement diag \ sparse and sparse / diag.
Jason Riedy <jason@acm.org>
parents: 7017
diff changeset
572
42aff15e059b Implement diag \ sparse and sparse / diag.
Jason Riedy <jason@acm.org>
parents: 7017
diff changeset
573 const octave_idx_type nz = a.nnz ();
42aff15e059b Implement diag \ sparse and sparse / diag.
Jason Riedy <jason@acm.org>
parents: 7017
diff changeset
574 RT r (nr, a_nc, nz);
42aff15e059b Implement diag \ sparse and sparse / diag.
Jason Riedy <jason@acm.org>
parents: 7017
diff changeset
575
42aff15e059b Implement diag \ sparse and sparse / diag.
Jason Riedy <jason@acm.org>
parents: 7017
diff changeset
576 const typename DM::element_type zero = typename DM::element_type ();
42aff15e059b Implement diag \ sparse and sparse / diag.
Jason Riedy <jason@acm.org>
parents: 7017
diff changeset
577
42aff15e059b Implement diag \ sparse and sparse / diag.
Jason Riedy <jason@acm.org>
parents: 7017
diff changeset
578 octave_idx_type k_result = 0;
42aff15e059b Implement diag \ sparse and sparse / diag.
Jason Riedy <jason@acm.org>
parents: 7017
diff changeset
579 for (octave_idx_type j = 0; j < a_nc; ++j)
42aff15e059b Implement diag \ sparse and sparse / diag.
Jason Riedy <jason@acm.org>
parents: 7017
diff changeset
580 {
42aff15e059b Implement diag \ sparse and sparse / diag.
Jason Riedy <jason@acm.org>
parents: 7017
diff changeset
581 OCTAVE_QUIT;
42aff15e059b Implement diag \ sparse and sparse / diag.
Jason Riedy <jason@acm.org>
parents: 7017
diff changeset
582 const octave_idx_type colend = a.cidx (j+1);
42aff15e059b Implement diag \ sparse and sparse / diag.
Jason Riedy <jason@acm.org>
parents: 7017
diff changeset
583 r.xcidx (j) = k_result;
42aff15e059b Implement diag \ sparse and sparse / diag.
Jason Riedy <jason@acm.org>
parents: 7017
diff changeset
584 for (octave_idx_type k = a.cidx (j); k < colend; ++k)
42aff15e059b Implement diag \ sparse and sparse / diag.
Jason Riedy <jason@acm.org>
parents: 7017
diff changeset
585 {
42aff15e059b Implement diag \ sparse and sparse / diag.
Jason Riedy <jason@acm.org>
parents: 7017
diff changeset
586 const octave_idx_type i = a.ridx (k);
42aff15e059b Implement diag \ sparse and sparse / diag.
Jason Riedy <jason@acm.org>
parents: 7017
diff changeset
587 if (i < nr)
42aff15e059b Implement diag \ sparse and sparse / diag.
Jason Riedy <jason@acm.org>
parents: 7017
diff changeset
588 {
42aff15e059b Implement diag \ sparse and sparse / diag.
Jason Riedy <jason@acm.org>
parents: 7017
diff changeset
589 const typename DM::element_type s = d.dgelem (i);
42aff15e059b Implement diag \ sparse and sparse / diag.
Jason Riedy <jason@acm.org>
parents: 7017
diff changeset
590 if (s != zero)
42aff15e059b Implement diag \ sparse and sparse / diag.
Jason Riedy <jason@acm.org>
parents: 7017
diff changeset
591 {
42aff15e059b Implement diag \ sparse and sparse / diag.
Jason Riedy <jason@acm.org>
parents: 7017
diff changeset
592 r.xdata (k_result) = a.data (k) / s;
42aff15e059b Implement diag \ sparse and sparse / diag.
Jason Riedy <jason@acm.org>
parents: 7017
diff changeset
593 r.xridx (k_result) = i;
42aff15e059b Implement diag \ sparse and sparse / diag.
Jason Riedy <jason@acm.org>
parents: 7017
diff changeset
594 ++k_result;
42aff15e059b Implement diag \ sparse and sparse / diag.
Jason Riedy <jason@acm.org>
parents: 7017
diff changeset
595 }
42aff15e059b Implement diag \ sparse and sparse / diag.
Jason Riedy <jason@acm.org>
parents: 7017
diff changeset
596 }
42aff15e059b Implement diag \ sparse and sparse / diag.
Jason Riedy <jason@acm.org>
parents: 7017
diff changeset
597 }
42aff15e059b Implement diag \ sparse and sparse / diag.
Jason Riedy <jason@acm.org>
parents: 7017
diff changeset
598 }
42aff15e059b Implement diag \ sparse and sparse / diag.
Jason Riedy <jason@acm.org>
parents: 7017
diff changeset
599 r.xcidx (a_nc) = k_result;
42aff15e059b Implement diag \ sparse and sparse / diag.
Jason Riedy <jason@acm.org>
parents: 7017
diff changeset
600
42aff15e059b Implement diag \ sparse and sparse / diag.
Jason Riedy <jason@acm.org>
parents: 7017
diff changeset
601 r.maybe_compress (true);
42aff15e059b Implement diag \ sparse and sparse / diag.
Jason Riedy <jason@acm.org>
parents: 7017
diff changeset
602 return r;
42aff15e059b Implement diag \ sparse and sparse / diag.
Jason Riedy <jason@acm.org>
parents: 7017
diff changeset
603 }
42aff15e059b Implement diag \ sparse and sparse / diag.
Jason Riedy <jason@acm.org>
parents: 7017
diff changeset
604
42aff15e059b Implement diag \ sparse and sparse / diag.
Jason Riedy <jason@acm.org>
parents: 7017
diff changeset
605 // -*- 9 -*-
42aff15e059b Implement diag \ sparse and sparse / diag.
Jason Riedy <jason@acm.org>
parents: 7017
diff changeset
606 SparseMatrix
42aff15e059b Implement diag \ sparse and sparse / diag.
Jason Riedy <jason@acm.org>
parents: 7017
diff changeset
607 xleftdiv (const DiagMatrix& d, const SparseMatrix& a, MatrixType&)
42aff15e059b Implement diag \ sparse and sparse / diag.
Jason Riedy <jason@acm.org>
parents: 7017
diff changeset
608 {
42aff15e059b Implement diag \ sparse and sparse / diag.
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609 return do_leftdiv_dm_sm<SparseMatrix> (d, a);
42aff15e059b Implement diag \ sparse and sparse / diag.
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610 }
42aff15e059b Implement diag \ sparse and sparse / diag.
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611
42aff15e059b Implement diag \ sparse and sparse / diag.
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612 // -*- 10 -*-
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613 SparseComplexMatrix
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614 xleftdiv (const DiagMatrix& d, const SparseComplexMatrix& a, MatrixType&)
42aff15e059b Implement diag \ sparse and sparse / diag.
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parents: 7017
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615 {
42aff15e059b Implement diag \ sparse and sparse / diag.
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parents: 7017
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616 return do_leftdiv_dm_sm<SparseComplexMatrix> (d, a);
42aff15e059b Implement diag \ sparse and sparse / diag.
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parents: 7017
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617 }
42aff15e059b Implement diag \ sparse and sparse / diag.
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618
42aff15e059b Implement diag \ sparse and sparse / diag.
Jason Riedy <jason@acm.org>
parents: 7017
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619 // -*- 11 -*-
42aff15e059b Implement diag \ sparse and sparse / diag.
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620 SparseComplexMatrix
42aff15e059b Implement diag \ sparse and sparse / diag.
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parents: 7017
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621 xleftdiv (const ComplexDiagMatrix& d, const SparseMatrix& a, MatrixType&)
42aff15e059b Implement diag \ sparse and sparse / diag.
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622 {
42aff15e059b Implement diag \ sparse and sparse / diag.
Jason Riedy <jason@acm.org>
parents: 7017
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623 return do_leftdiv_dm_sm<SparseComplexMatrix> (d, a);
42aff15e059b Implement diag \ sparse and sparse / diag.
Jason Riedy <jason@acm.org>
parents: 7017
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624 }
42aff15e059b Implement diag \ sparse and sparse / diag.
Jason Riedy <jason@acm.org>
parents: 7017
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625
42aff15e059b Implement diag \ sparse and sparse / diag.
Jason Riedy <jason@acm.org>
parents: 7017
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626 // -*- 12 -*-
42aff15e059b Implement diag \ sparse and sparse / diag.
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627 SparseComplexMatrix
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parents: 7017
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628 xleftdiv (const ComplexDiagMatrix& d, const SparseComplexMatrix& a, MatrixType&)
42aff15e059b Implement diag \ sparse and sparse / diag.
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parents: 7017
diff changeset
629 {
42aff15e059b Implement diag \ sparse and sparse / diag.
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parents: 7017
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630 return do_leftdiv_dm_sm<SparseComplexMatrix> (d, a);
42aff15e059b Implement diag \ sparse and sparse / diag.
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parents: 7017
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631 }
42aff15e059b Implement diag \ sparse and sparse / diag.
Jason Riedy <jason@acm.org>
parents: 7017
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632
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
633 /*
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
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634 ;;; Local Variables: ***
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
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635 ;;; mode: C++ ***
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
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636 ;;; End: ***
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
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637 */