annotate liboctave/CSparse.h @ 11586:12df7854fa7c

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author John W. Eaton <jwe@octave.org>
date Thu, 20 Jan 2011 17:24:59 -0500
parents fd0a3ac60b0e
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1 /*
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2
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3 Copyright (C) 2004-2011 David Bateman
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4 Copyright (C) 1998-2004 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 #if !defined (octave_CSparse_h)
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25 #define octave_CSparse_h 1
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26
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27 #include "dMatrix.h"
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28 #include "dNDArray.h"
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29 #include "CNDArray.h"
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30 #include "dColVector.h"
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31 #include "CColVector.h"
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32 #include "oct-cmplx.h"
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33
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34 #include "DET.h"
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35 #include "MSparse.h"
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36 #include "MSparse-defs.h"
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37 #include "Sparse-op-defs.h"
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38 #include "MatrixType.h"
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39
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40 class PermMatrix;
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41 class DiagMatrix;
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42 class ComplexDiagMatrix;
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43 class SparseMatrix;
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44 class SparseBoolMatrix;
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45
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46 class
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47 OCTAVE_API
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48 SparseComplexMatrix : public MSparse<Complex>
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49 {
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50 public:
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51
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52 typedef void (*solve_singularity_handler) (double rcond);
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53
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54 SparseComplexMatrix (void) : MSparse<Complex> () { }
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55
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56 SparseComplexMatrix (octave_idx_type r, octave_idx_type c) : MSparse<Complex> (r, c) { }
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57
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58 SparseComplexMatrix (const dim_vector& dv, octave_idx_type nz = 0) :
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59 MSparse<Complex> (dv, nz) { }
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60
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61 explicit SparseComplexMatrix (octave_idx_type r, octave_idx_type c, Complex val)
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62 : MSparse<Complex> (r, c, val) { }
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63
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64 SparseComplexMatrix (octave_idx_type r, octave_idx_type c, double val)
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65 : MSparse<Complex> (r, c, Complex (val)) { }
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66
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67 SparseComplexMatrix (const SparseComplexMatrix& a)
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68 : MSparse<Complex> (a) { }
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69
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70 SparseComplexMatrix (const SparseComplexMatrix& a, const dim_vector& dv)
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71 : MSparse<Complex> (a, dv) { }
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72
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73 SparseComplexMatrix (const MSparse<Complex>& a) : MSparse<Complex> (a) { }
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74
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75 SparseComplexMatrix (const Sparse<Complex>& a) : MSparse<Complex> (a) { }
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76
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77 explicit SparseComplexMatrix (const ComplexMatrix& a)
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78 : MSparse<Complex> (a) { }
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79
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80 explicit SparseComplexMatrix (const ComplexNDArray& a)
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81 : MSparse<Complex> (a) { }
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82
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83 SparseComplexMatrix (const Array<Complex>& a, const idx_vector& r,
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84 const idx_vector& c, octave_idx_type nr = -1,
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85 octave_idx_type nc = -1, bool sum_terms = true,
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86 octave_idx_type nzm = -1)
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87 : MSparse<Complex> (a, r, c, nr, nc, sum_terms, nzm) { }
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88
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89 explicit SparseComplexMatrix (const SparseMatrix& a);
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90
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91 explicit SparseComplexMatrix (const SparseBoolMatrix& a);
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92
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93 explicit SparseComplexMatrix (const ComplexDiagMatrix& a);
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94
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95 SparseComplexMatrix (octave_idx_type r, octave_idx_type c, octave_idx_type num_nz)
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96 : MSparse<Complex> (r, c, num_nz) { }
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97
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98 SparseComplexMatrix& operator = (const SparseComplexMatrix& a)
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99 {
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100 MSparse<Complex>::operator = (a);
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101 return *this;
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102 }
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103
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104 bool operator == (const SparseComplexMatrix& a) const;
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105 bool operator != (const SparseComplexMatrix& a) const;
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106
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107 bool is_hermitian (void) const;
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108
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109 SparseComplexMatrix max (int dim = -1) const;
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110 SparseComplexMatrix max (Array<octave_idx_type>& index, int dim = -1) const;
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111 SparseComplexMatrix min (int dim = -1) const;
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112 SparseComplexMatrix min (Array<octave_idx_type>& index, int dim = -1) const;
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113
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114 SparseComplexMatrix& insert (const SparseComplexMatrix& a, octave_idx_type r, octave_idx_type c);
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115 SparseComplexMatrix& insert (const SparseMatrix& a, octave_idx_type r, octave_idx_type c);
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116 SparseComplexMatrix& insert (const SparseComplexMatrix& a, const Array<octave_idx_type>& indx);
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117 SparseComplexMatrix& insert (const SparseMatrix& a, const Array<octave_idx_type>& indx);
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118
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119 SparseComplexMatrix concat (const SparseComplexMatrix& rb,
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120 const Array<octave_idx_type>& ra_idx);
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121 SparseComplexMatrix concat (const SparseMatrix& rb,
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122 const Array<octave_idx_type>& ra_idx);
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123
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124 ComplexMatrix matrix_value (void) const;
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125
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126 SparseComplexMatrix hermitian (void) const; // complex conjugate transpose
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127 SparseComplexMatrix transpose (void) const
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128 { return MSparse<Complex>::transpose (); }
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129
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130 friend SparseComplexMatrix conj (const SparseComplexMatrix& a);
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131
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132 // extract row or column i.
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133
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134 ComplexRowVector row (octave_idx_type i) const;
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135
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136 ComplexColumnVector column (octave_idx_type i) const;
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137
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138 private:
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139 SparseComplexMatrix dinverse (MatrixType &mattyp, octave_idx_type& info,
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140 double& rcond, const bool force = false,
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141 const bool calccond = true) const;
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142
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143 SparseComplexMatrix tinverse (MatrixType &mattyp, octave_idx_type& info,
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144 double& rcond, const bool force = false,
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145 const bool calccond = true) const;
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146
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147 public:
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148 SparseComplexMatrix inverse (void) const;
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149 SparseComplexMatrix inverse (MatrixType& mattype) const;
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150 SparseComplexMatrix inverse (MatrixType& mattype,
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151 octave_idx_type& info) const;
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152 SparseComplexMatrix inverse (MatrixType& mattype, octave_idx_type& info,
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153 double& rcond, int force = 0,
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154 int calc_cond = 1) const;
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155
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156 ComplexDET determinant (void) const;
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157 ComplexDET determinant (octave_idx_type& info) const;
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158 ComplexDET determinant (octave_idx_type& info, double& rcond,
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159 int calc_cond = 1) const;
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160
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161 private:
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162 // Diagonal matrix solvers
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163 ComplexMatrix dsolve (MatrixType &typ, const Matrix& b, octave_idx_type& info,
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164 double& rcond, solve_singularity_handler sing_handler,
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165 bool calc_cond = false) const;
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166
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167 ComplexMatrix dsolve (MatrixType &typ, const ComplexMatrix& b,
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168 octave_idx_type& info, double& rcond,
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169 solve_singularity_handler sing_handler,
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170 bool calc_cond = false) const;
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171
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172 SparseComplexMatrix dsolve (MatrixType &typ, const SparseMatrix& b,
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173 octave_idx_type& info, double& rcond,
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174 solve_singularity_handler sing_handler,
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175 bool calc_cond = false) const;
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176
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177 SparseComplexMatrix dsolve (MatrixType &typ, const SparseComplexMatrix& b,
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178 octave_idx_type& info, double& rcond,
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179 solve_singularity_handler sing_handler,
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180 bool calc_cond = false) const;
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181
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182 // Upper triangular matrix solvers
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183 ComplexMatrix utsolve (MatrixType &typ, const Matrix& b, octave_idx_type& info,
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184 double& rcond, solve_singularity_handler sing_handler,
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185 bool calc_cond = false) const;
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186
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187 ComplexMatrix utsolve (MatrixType &typ, const ComplexMatrix& b,
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188 octave_idx_type& info, double& rcond,
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189 solve_singularity_handler sing_handler,
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190 bool calc_cond = false) const;
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191
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192 SparseComplexMatrix utsolve (MatrixType &typ, const SparseMatrix& b,
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193 octave_idx_type& info, double& rcond,
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194 solve_singularity_handler sing_handler,
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195 bool calc_cond = false) const;
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196
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197 SparseComplexMatrix utsolve (MatrixType &typ, const SparseComplexMatrix& b,
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198 octave_idx_type& info, double& rcond,
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199 solve_singularity_handler sing_handler,
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200 bool calc_cond = false) const;
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201
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202 // Lower triangular matrix solvers
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203 ComplexMatrix ltsolve (MatrixType &typ, const Matrix& b,
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204 octave_idx_type& info, double& rcond,
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205 solve_singularity_handler sing_handler,
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206 bool calc_cond = false) const;
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207
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208 ComplexMatrix ltsolve (MatrixType &typ, const ComplexMatrix& b,
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209 octave_idx_type& info, double& rcond,
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210 solve_singularity_handler sing_handler,
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211 bool calc_cond = false) const;
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212
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213 SparseComplexMatrix ltsolve (MatrixType &typ, const SparseMatrix& b,
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214 octave_idx_type& info, double& rcond,
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215 solve_singularity_handler sing_handler,
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216 bool calc_cond = false) const;
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217
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218 SparseComplexMatrix ltsolve (MatrixType &typ, const SparseComplexMatrix& b,
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219 octave_idx_type& info, double& rcond,
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220 solve_singularity_handler sing_handler,
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221 bool calc_cond = false) const;
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222
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223 // Tridiagonal matrix solvers
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224 ComplexMatrix trisolve (MatrixType &typ, const Matrix& b,
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225 octave_idx_type& info, double& rcond,
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226 solve_singularity_handler sing_handler,
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227 bool calc_cond = false) const;
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228
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229 ComplexMatrix trisolve (MatrixType &typ, const ComplexMatrix& b,
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230 octave_idx_type& info, double& rcond,
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231 solve_singularity_handler sing_handler,
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232 bool calc_cond = false) const;
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233
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234 SparseComplexMatrix trisolve (MatrixType &typ, const SparseMatrix& b,
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235 octave_idx_type& info, double& rcond,
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236 solve_singularity_handler sing_handler,
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237 bool calc_cond = false) const;
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238
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239 SparseComplexMatrix trisolve (MatrixType &typ, const SparseComplexMatrix& b,
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240 octave_idx_type& info, double& rcond,
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241 solve_singularity_handler sing_handler,
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242 bool calc_cond = false) const;
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243
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244 // Banded matrix solvers (umfpack/cholesky)
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245 ComplexMatrix bsolve (MatrixType &typ, const Matrix& b, octave_idx_type& info,
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246 double& rcond, solve_singularity_handler sing_handler,
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247 bool calc_cond = false) const;
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248
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249 ComplexMatrix bsolve (MatrixType &typ, const ComplexMatrix& b,
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250 octave_idx_type& info, double& rcond,
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251 solve_singularity_handler sing_handler,
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252 bool calc_cond = false) const;
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253
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254 SparseComplexMatrix bsolve (MatrixType &typ, const SparseMatrix& b,
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255 octave_idx_type& info, double& rcond,
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256 solve_singularity_handler sing_handler,
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257 bool calc_cond = false) const;
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258
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259 SparseComplexMatrix bsolve (MatrixType &typ, const SparseComplexMatrix& b,
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260 octave_idx_type& info, double& rcond,
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261 solve_singularity_handler sing_handler,
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262 bool calc_cond = false) const;
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263
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264 // Full matrix solvers (umfpack/cholesky)
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265 void * factorize (octave_idx_type& err, double &rcond, Matrix &Control,
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266 Matrix &Info, solve_singularity_handler sing_handler,
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267 bool calc_cond) const;
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268
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269 ComplexMatrix fsolve (MatrixType &typ, const Matrix& b, octave_idx_type& info,
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270 double& rcond, solve_singularity_handler sing_handler,
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271 bool calc_cond = false) const;
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272
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273 ComplexMatrix fsolve (MatrixType &typ, const ComplexMatrix& b,
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274 octave_idx_type& info, double& rcond,
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275 solve_singularity_handler sing_handler,
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276 bool calc_cond = false) const;
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277
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278 SparseComplexMatrix fsolve (MatrixType &typ, const SparseMatrix& b,
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279 octave_idx_type& info, double& rcond,
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280 solve_singularity_handler sing_handler,
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281 bool calc_cond = false) const;
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282
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283 SparseComplexMatrix fsolve (MatrixType &typ, const SparseComplexMatrix& b,
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284 octave_idx_type& info, double& rcond,
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285 solve_singularity_handler sing_handler,
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286 bool calc_cond = false) const;
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287
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288 public:
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289 // Generic interface to solver with no probing of type
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290 ComplexMatrix solve (MatrixType &typ, const Matrix& b) const;
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291 ComplexMatrix solve (MatrixType &typ, const Matrix& b,
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292 octave_idx_type& info) const;
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293 ComplexMatrix solve (MatrixType &typ, const Matrix& b, octave_idx_type& info,
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294 double& rcond) const;
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295 ComplexMatrix solve (MatrixType &typ, const Matrix& b, octave_idx_type& info,
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296 double& rcond, solve_singularity_handler sing_handler,
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297 bool singular_fallback = true) const;
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298
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299 ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b) const;
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300 ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b,
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301 octave_idx_type& info) const;
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302 ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b,
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303 octave_idx_type& info, double& rcond) const;
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304 ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b,
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305 octave_idx_type& info, double& rcond,
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306 solve_singularity_handler sing_handler,
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307 bool singular_fallback = true) const;
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308
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309 SparseComplexMatrix solve (MatrixType &typ, const SparseMatrix& b) const;
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310 SparseComplexMatrix solve (MatrixType &typ, const SparseMatrix& b,
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311 octave_idx_type& info) const;
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312 SparseComplexMatrix solve (MatrixType &typ, const SparseMatrix& b,
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313 octave_idx_type& info, double& rcond) const;
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314 SparseComplexMatrix solve (MatrixType &typ, const SparseMatrix& b,
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315 octave_idx_type& info, double& rcond,
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316 solve_singularity_handler sing_handler,
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317 bool singular_fallback = true) const;
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318
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319 SparseComplexMatrix solve (MatrixType &typ,
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320 const SparseComplexMatrix& b) const;
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321 SparseComplexMatrix solve (MatrixType &typ, const SparseComplexMatrix& b,
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322 octave_idx_type& info) const;
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323 SparseComplexMatrix solve (MatrixType &typ, const SparseComplexMatrix& b,
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324 octave_idx_type& info, double& rcond) const;
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325 SparseComplexMatrix solve (MatrixType &typ, const SparseComplexMatrix& b,
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326 octave_idx_type& info, double& rcond,
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327 solve_singularity_handler sing_handler,
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328 bool singular_fallback = true) const;
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329
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330 ComplexColumnVector solve (MatrixType &typ, const ColumnVector& b) const;
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331 ComplexColumnVector solve (MatrixType &typ, const ColumnVector& b,
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332 octave_idx_type& info) const;
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333 ComplexColumnVector solve (MatrixType &typ, const ColumnVector& b,
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334 octave_idx_type& info, double& rcond) const;
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335 ComplexColumnVector solve (MatrixType &typ, const ColumnVector& b,
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336 octave_idx_type& info, double& rcond,
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337 solve_singularity_handler sing_handler) const;
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338
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339 ComplexColumnVector solve (MatrixType &typ,
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340 const ComplexColumnVector& b) const;
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341 ComplexColumnVector solve (MatrixType &typ, const ComplexColumnVector& b,
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342 octave_idx_type& info) const;
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343 ComplexColumnVector solve (MatrixType &typ, const ComplexColumnVector& b,
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344 octave_idx_type& info, double& rcond) const;
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345 ComplexColumnVector solve (MatrixType &typ, const ComplexColumnVector& b,
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346 octave_idx_type& info, double& rcond,
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347 solve_singularity_handler sing_handler) const;
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348
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349 // Generic interface to solver with probing of type
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350 ComplexMatrix solve (const Matrix& b) const;
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351 ComplexMatrix solve (const Matrix& b, octave_idx_type& info) const;
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352 ComplexMatrix solve (const Matrix& b, octave_idx_type& info,
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353 double& rcond) const;
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354 ComplexMatrix solve (const Matrix& b, octave_idx_type& info, double& rcond,
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355 solve_singularity_handler sing_handler) const;
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356
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357 ComplexMatrix solve (const ComplexMatrix& b) const;
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358 ComplexMatrix solve (const ComplexMatrix& b, octave_idx_type& info) const;
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359 ComplexMatrix solve (const ComplexMatrix& b, octave_idx_type& info,
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360 double& rcond) const;
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361 ComplexMatrix solve (const ComplexMatrix& b, octave_idx_type& info,
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362 double& rcond, solve_singularity_handler sing_handler) const;
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363
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364 SparseComplexMatrix solve (const SparseMatrix& b) const;
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365 SparseComplexMatrix solve (const SparseMatrix& b, octave_idx_type& info) const;
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366 SparseComplexMatrix solve (const SparseMatrix& b, octave_idx_type& info,
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367 double& rcond) const;
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368 SparseComplexMatrix solve (const SparseMatrix& b, octave_idx_type& info,
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369 double& rcond,
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370 solve_singularity_handler sing_handler) const;
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371
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372 SparseComplexMatrix solve (const SparseComplexMatrix& b) const;
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373 SparseComplexMatrix solve (const SparseComplexMatrix& b,
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374 octave_idx_type& info) const;
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375 SparseComplexMatrix solve (const SparseComplexMatrix& b,
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376 octave_idx_type& info, double& rcond) const;
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377 SparseComplexMatrix solve (const SparseComplexMatrix& b,
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378 octave_idx_type& info, double& rcond,
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379 solve_singularity_handler sing_handler) const;
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380
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381 ComplexColumnVector solve (const ColumnVector& b) const;
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382 ComplexColumnVector solve (const ColumnVector& b, octave_idx_type& info) const;
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383 ComplexColumnVector solve (const ColumnVector& b, octave_idx_type& info,
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384 double& rcond) const;
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385 ComplexColumnVector solve (const ColumnVector& b, octave_idx_type& info,
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386 double& rcond,
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387 solve_singularity_handler sing_handler) const;
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388
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389 ComplexColumnVector solve (const ComplexColumnVector& b) const;
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390 ComplexColumnVector solve (const ComplexColumnVector& b,
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391 octave_idx_type& info) const;
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392 ComplexColumnVector solve (const ComplexColumnVector& b, octave_idx_type& info,
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393 double& rcond) const;
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394 ComplexColumnVector solve (const ComplexColumnVector& b, octave_idx_type& info,
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395 double& rcond,
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396 solve_singularity_handler sing_handler) const;
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397
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398 SparseComplexMatrix squeeze (void) const;
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399
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400 SparseComplexMatrix reshape (const dim_vector& new_dims) const;
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401
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402 SparseComplexMatrix permute (const Array<octave_idx_type>& vec,
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403 bool inv = false) const;
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404
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405 SparseComplexMatrix ipermute (const Array<octave_idx_type>& vec) const;
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406
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407 bool any_element_is_nan (void) const;
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408 bool any_element_is_inf_or_nan (void) const;
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409 bool all_elements_are_real (void) const;
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410 bool all_integers (double& max_val, double& min_val) const;
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411 bool too_large_for_float (void) const;
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412
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413 SparseBoolMatrix operator ! (void) const;
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414
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415 SparseBoolMatrix all (int dim = -1) const;
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416 SparseBoolMatrix any (int dim = -1) const;
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417
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418 SparseComplexMatrix cumprod (int dim = -1) const;
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419 SparseComplexMatrix cumsum (int dim = -1) const;
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420 SparseComplexMatrix prod (int dim = -1) const;
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421 SparseComplexMatrix sum (int dim = -1) const;
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422 SparseComplexMatrix sumsq (int dim = -1) const;
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423 SparseMatrix abs (void) const;
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424
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425 SparseComplexMatrix diag (octave_idx_type k = 0) const;
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426
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427 // i/o
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428 friend OCTAVE_API std::ostream& operator << (std::ostream& os,
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429 const SparseComplexMatrix& a);
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430 friend OCTAVE_API std::istream& operator >> (std::istream& is,
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431 SparseComplexMatrix& a);
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432 };
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433
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434 extern OCTAVE_API SparseComplexMatrix operator * (const SparseMatrix&,
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435 const SparseComplexMatrix&);
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436 extern OCTAVE_API SparseComplexMatrix operator * (const SparseComplexMatrix&,
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437 const SparseMatrix&);
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438 extern OCTAVE_API SparseComplexMatrix operator * (const SparseComplexMatrix&,
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439 const SparseComplexMatrix&);
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440
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441 extern OCTAVE_API ComplexMatrix operator * (const Matrix&,
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442 const SparseComplexMatrix&);
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443 extern OCTAVE_API ComplexMatrix operator * (const ComplexMatrix&,
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444 const SparseMatrix&);
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445 extern OCTAVE_API ComplexMatrix operator * (const ComplexMatrix&,
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446 const SparseComplexMatrix&);
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447 extern OCTAVE_API ComplexMatrix mul_trans (const ComplexMatrix&,
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448 const SparseComplexMatrix&);
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449 extern OCTAVE_API ComplexMatrix mul_herm (const ComplexMatrix&,
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450 const SparseComplexMatrix&);
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451
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452 extern OCTAVE_API ComplexMatrix operator * (const SparseMatrix&,
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453 const ComplexMatrix&);
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454 extern OCTAVE_API ComplexMatrix operator * (const SparseComplexMatrix&,
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455 const Matrix&);
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456 extern OCTAVE_API ComplexMatrix operator * (const SparseComplexMatrix&,
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457 const ComplexMatrix&);
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458 extern OCTAVE_API ComplexMatrix trans_mul (const SparseComplexMatrix&,
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459 const ComplexMatrix&);
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460 extern OCTAVE_API ComplexMatrix herm_mul (const SparseComplexMatrix&,
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461 const ComplexMatrix&);
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462
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463 extern OCTAVE_API SparseComplexMatrix operator * (const DiagMatrix&, const SparseComplexMatrix&);
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464 extern OCTAVE_API SparseComplexMatrix operator * (const SparseComplexMatrix&, const DiagMatrix&);
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465
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466 extern OCTAVE_API SparseComplexMatrix operator * (const ComplexDiagMatrix&, const SparseMatrix&);
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467 extern OCTAVE_API SparseComplexMatrix operator * (const SparseMatrix&, const ComplexDiagMatrix&);
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468
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469 extern OCTAVE_API SparseComplexMatrix operator * (const ComplexDiagMatrix&, const SparseComplexMatrix&);
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470 extern OCTAVE_API SparseComplexMatrix operator * (const SparseComplexMatrix&, const ComplexDiagMatrix&);
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471
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472 extern OCTAVE_API SparseComplexMatrix operator + (const ComplexDiagMatrix&, const SparseMatrix&);
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473 extern OCTAVE_API SparseComplexMatrix operator + (const DiagMatrix&, const SparseComplexMatrix&);
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474 extern OCTAVE_API SparseComplexMatrix operator + (const ComplexDiagMatrix&, const SparseComplexMatrix&);
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475 extern OCTAVE_API SparseComplexMatrix operator + (const SparseMatrix&, const ComplexDiagMatrix&);
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476 extern OCTAVE_API SparseComplexMatrix operator + (const SparseComplexMatrix&, const DiagMatrix&);
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477 extern OCTAVE_API SparseComplexMatrix operator + (const SparseComplexMatrix&, const ComplexDiagMatrix&);
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478
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479 extern OCTAVE_API SparseComplexMatrix operator - (const ComplexDiagMatrix&, const SparseMatrix&);
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480 extern OCTAVE_API SparseComplexMatrix operator - (const DiagMatrix&, const SparseComplexMatrix&);
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481 extern OCTAVE_API SparseComplexMatrix operator - (const ComplexDiagMatrix&, const SparseComplexMatrix&);
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482 extern OCTAVE_API SparseComplexMatrix operator - (const SparseMatrix&, const ComplexDiagMatrix&);
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483 extern OCTAVE_API SparseComplexMatrix operator - (const SparseComplexMatrix&, const DiagMatrix&);
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484 extern OCTAVE_API SparseComplexMatrix operator - (const SparseComplexMatrix&, const ComplexDiagMatrix&);
1bba53c0a38d Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
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485
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486 extern OCTAVE_API SparseComplexMatrix operator * (const PermMatrix&,
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487 const SparseComplexMatrix&);
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488 extern OCTAVE_API SparseComplexMatrix operator * (const SparseComplexMatrix&,
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489 const PermMatrix&);
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490
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491 extern OCTAVE_API SparseComplexMatrix min (const Complex& c,
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492 const SparseComplexMatrix& m);
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493 extern OCTAVE_API SparseComplexMatrix min (const SparseComplexMatrix& m,
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494 const Complex& c);
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495 extern OCTAVE_API SparseComplexMatrix min (const SparseComplexMatrix& a,
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496 const SparseComplexMatrix& b);
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497
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498 extern OCTAVE_API SparseComplexMatrix max (const Complex& c,
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499 const SparseComplexMatrix& m);
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500 extern OCTAVE_API SparseComplexMatrix max (const SparseComplexMatrix& m,
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501 const Complex& c);
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502 extern OCTAVE_API SparseComplexMatrix max (const SparseComplexMatrix& a,
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503 const SparseComplexMatrix& b);
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504
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505 SPARSE_SMS_CMP_OP_DECLS (SparseComplexMatrix, Complex, OCTAVE_API)
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506 SPARSE_SMS_BOOL_OP_DECLS (SparseComplexMatrix, Complex, OCTAVE_API)
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507
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508 SPARSE_SSM_CMP_OP_DECLS (Complex, SparseComplexMatrix, OCTAVE_API)
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509 SPARSE_SSM_BOOL_OP_DECLS (Complex, SparseComplexMatrix, OCTAVE_API)
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510
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511 SPARSE_SMSM_CMP_OP_DECLS (SparseComplexMatrix, SparseComplexMatrix, OCTAVE_API)
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512 SPARSE_SMSM_BOOL_OP_DECLS (SparseComplexMatrix, SparseComplexMatrix, OCTAVE_API)
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513
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514 SPARSE_FORWARD_DEFS (MSparse, SparseComplexMatrix, ComplexMatrix, Complex)
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515
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516 #ifdef IDX_TYPE_LONG
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517 #define UMFPACK_ZNAME(name) umfpack_zl_ ## name
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518 #else
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519 #define UMFPACK_ZNAME(name) umfpack_zi_ ## name
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520 #endif
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521
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522 #endif