annotate liboctave/dMatrix.h @ 11542:695141f1c05c ss-3-3-55

snapshot 3.3.55
author John W. Eaton <jwe@octave.org>
date Sat, 15 Jan 2011 04:53:04 -0500
parents fd0a3ac60b0e
children 57632dea2446
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1 /*
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2
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3 Copyright (C) 1994-2011 John W. Eaton
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4
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5 This file is part of Octave.
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6
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7 Octave is free software; you can redistribute it and/or modify it
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8 under the terms of the GNU General Public License as published by the
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9 Free Software Foundation; either version 3 of the License, or (at your
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10 option) any later version.
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11
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12 Octave is distributed in the hope that it will be useful, but WITHOUT
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13 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
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14 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
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15 for more details.
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16
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17 You should have received a copy of the GNU General Public License
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18 along with Octave; see the file COPYING. If not, see
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19 <http://www.gnu.org/licenses/>.
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21 */
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23 #if !defined (octave_Matrix_int_h)
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24 #define octave_Matrix_int_h 1
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25
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26 #include "MArray.h"
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27 #include "MDiagArray2.h"
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28 #include "MatrixType.h"
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30 #include "mx-defs.h"
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31 #include "mx-op-decl.h"
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32 #include "DET.h"
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34 class
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35 OCTAVE_API
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36 Matrix : public MArray<double>
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37 {
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38 public:
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39
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40 typedef ColumnVector column_vector_type;
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41 typedef RowVector row_vector_type;
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42
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43 typedef void (*solve_singularity_handler) (double rcon);
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44
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45 Matrix (void) : MArray<double> () { }
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47 Matrix (octave_idx_type r, octave_idx_type c) : MArray<double> (r, c) { }
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48
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49 Matrix (octave_idx_type r, octave_idx_type c, double val) : MArray<double> (r, c, val) { }
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51 Matrix (const dim_vector& dv) : MArray<double> (dv.redim (2)) { }
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53 Matrix (const dim_vector& dv, double val) : MArray<double> (dv.redim (2), val) { }
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55 Matrix (const Matrix& a) : MArray<double> (a) { }
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56
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57 template <class U>
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58 Matrix (const MArray<U>& a) : MArray<double> (a.as_matrix ()) { }
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60 template <class U>
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61 Matrix (const Array<U>& a) : MArray<double> (a.as_matrix ()) { }
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62
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63 explicit Matrix (const RowVector& rv);
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64
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65 explicit Matrix (const ColumnVector& cv);
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67 explicit Matrix (const DiagMatrix& a);
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68
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69 explicit Matrix (const PermMatrix& a);
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70
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71 explicit Matrix (const boolMatrix& a);
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73 explicit Matrix (const charMatrix& a);
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74
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75 Matrix& operator = (const Matrix& a)
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76 {
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77 MArray<double>::operator = (a);
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78 return *this;
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79 }
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80
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81 bool operator == (const Matrix& a) const;
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82 bool operator != (const Matrix& a) const;
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84 bool is_symmetric (void) const;
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85
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86 // destructive insert/delete/reorder operations
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87
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88 Matrix& insert (const Matrix& a, octave_idx_type r, octave_idx_type c);
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89 Matrix& insert (const RowVector& a, octave_idx_type r, octave_idx_type c);
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90 Matrix& insert (const ColumnVector& a, octave_idx_type r, octave_idx_type c);
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91 Matrix& insert (const DiagMatrix& a, octave_idx_type r, octave_idx_type c);
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92
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93 Matrix& fill (double val);
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94 Matrix& fill (double val, octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2);
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95
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96 Matrix append (const Matrix& a) const;
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97 Matrix append (const RowVector& a) const;
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98 Matrix append (const ColumnVector& a) const;
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99 Matrix append (const DiagMatrix& a) const;
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100
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101 Matrix stack (const Matrix& a) const;
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102 Matrix stack (const RowVector& a) const;
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103 Matrix stack (const ColumnVector& a) const;
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104 Matrix stack (const DiagMatrix& a) const;
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105
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106 friend OCTAVE_API Matrix real (const ComplexMatrix& a);
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107 friend OCTAVE_API Matrix imag (const ComplexMatrix& a);
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108
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109 friend class ComplexMatrix;
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110
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111 Matrix transpose (void) const { return MArray<double>::transpose (); }
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112
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113 // resize is the destructive equivalent for this one
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115 Matrix extract (octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2) const;
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116
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117 Matrix extract_n (octave_idx_type r1, octave_idx_type c1, octave_idx_type nr, octave_idx_type nc) const;
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118
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119 // extract row or column i.
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120
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121 RowVector row (octave_idx_type i) const;
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122
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123 ColumnVector column (octave_idx_type i) const;
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124
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125 private:
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126 Matrix tinverse (MatrixType &mattype, octave_idx_type& info, double& rcon,
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127 int force, int calc_cond) const;
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128
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129 Matrix finverse (MatrixType &mattype, octave_idx_type& info, double& rcon,
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130 int force, int calc_cond) const;
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131
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132 public:
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133 Matrix inverse (void) const;
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134 Matrix inverse (octave_idx_type& info) const;
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135 Matrix inverse (octave_idx_type& info, double& rcon, int force = 0,
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136 int calc_cond = 1) const;
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137
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138 Matrix inverse (MatrixType &mattype) const;
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139 Matrix inverse (MatrixType &mattype, octave_idx_type& info) const;
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140 Matrix inverse (MatrixType &mattype, octave_idx_type& info, double& rcon,
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141 int force = 0, int calc_cond = 1) const;
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142
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143 Matrix pseudo_inverse (double tol = 0.0) const;
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144
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145 ComplexMatrix fourier (void) const;
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146 ComplexMatrix ifourier (void) const;
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147
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148 ComplexMatrix fourier2d (void) const;
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149 ComplexMatrix ifourier2d (void) const;
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150
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151 DET determinant (void) const;
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152 DET determinant (octave_idx_type& info) const;
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153 DET determinant (octave_idx_type& info, double& rcon, int calc_cond = 1) const;
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154 DET determinant (MatrixType &mattype, octave_idx_type& info,
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155 double& rcon, int calc_cond = 1) const;
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156
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157 double rcond (void) const;
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158 double rcond (MatrixType &mattype) const;
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159
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160 private:
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161 // Upper triangular matrix solvers
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162 Matrix utsolve (MatrixType &typ, const Matrix& b, octave_idx_type& info,
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163 double& rcon, solve_singularity_handler sing_handler,
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164 bool calc_cond = false, blas_trans_type transt = blas_no_trans) const;
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165
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166 // Lower triangular matrix solvers
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167 Matrix ltsolve (MatrixType &typ, const Matrix& b, octave_idx_type& info,
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168 double& rcon, solve_singularity_handler sing_handler,
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169 bool calc_cond = false, blas_trans_type transt = blas_no_trans) const;
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170
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171 // Full matrix solvers (lu/cholesky)
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172 Matrix fsolve (MatrixType &typ, const Matrix& b, octave_idx_type& info,
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173 double& rcon, solve_singularity_handler sing_handler,
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174 bool calc_cond = false) const;
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175
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176 public:
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177 // Generic interface to solver with no probing of type
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178 Matrix solve (MatrixType &typ, const Matrix& b) const;
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179 Matrix solve (MatrixType &typ, const Matrix& b, octave_idx_type& info) const;
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180 Matrix solve (MatrixType &typ, const Matrix& b, octave_idx_type& info,
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181 double& rcon) const;
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182 Matrix solve (MatrixType &typ, const Matrix& b, octave_idx_type& info,
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183 double& rcon, solve_singularity_handler sing_handler,
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184 bool singular_fallback = true, blas_trans_type transt = blas_no_trans) const;
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185
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186 ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b) const;
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187 ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b,
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188 octave_idx_type& info) const;
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189 ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b,
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190 octave_idx_type& info, double& rcon) const;
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191 ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b,
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192 octave_idx_type& info, double& rcon,
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193 solve_singularity_handler sing_handler,
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194 bool singular_fallback = true,
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195 blas_trans_type transt = blas_no_trans) const;
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196
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197 ColumnVector solve (MatrixType &typ, const ColumnVector& b) const;
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198 ColumnVector solve (MatrixType &typ, const ColumnVector& b,
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199 octave_idx_type& info) const;
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200 ColumnVector solve (MatrixType &typ, const ColumnVector& b,
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201 octave_idx_type& info, double& rcon) const;
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202 ColumnVector solve (MatrixType &typ, const ColumnVector& b,
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203 octave_idx_type& info, double& rcon,
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204 solve_singularity_handler sing_handler,
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205 blas_trans_type transt = blas_no_trans) const;
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206
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207 ComplexColumnVector solve (MatrixType &typ,
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208 const ComplexColumnVector& b) const;
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209 ComplexColumnVector solve (MatrixType &typ, const ComplexColumnVector& b,
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210 octave_idx_type& info) const;
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211 ComplexColumnVector solve (MatrixType &typ, const ComplexColumnVector& b,
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212 octave_idx_type& info, double& rcon) const;
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213 ComplexColumnVector solve (MatrixType &typ, const ComplexColumnVector& b,
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214 octave_idx_type& info, double& rcon,
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215 solve_singularity_handler sing_handler,
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216 blas_trans_type transt = blas_no_trans) const;
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217
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218 // Generic interface to solver with probing of type
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219 Matrix solve (const Matrix& b) const;
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220 Matrix solve (const Matrix& b, octave_idx_type& info) const;
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221 Matrix solve (const Matrix& b, octave_idx_type& info, double& rcon) const;
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222 Matrix solve (const Matrix& b, octave_idx_type& info, double& rcon,
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223 solve_singularity_handler sing_handler,
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224 blas_trans_type transt = blas_no_trans) const;
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225
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226 ComplexMatrix solve (const ComplexMatrix& b) const;
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227 ComplexMatrix solve (const ComplexMatrix& b, octave_idx_type& info) const;
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228 ComplexMatrix solve (const ComplexMatrix& b, octave_idx_type& info, double& rcon) const;
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229 ComplexMatrix solve (const ComplexMatrix& b, octave_idx_type& info, double& rcon,
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230 solve_singularity_handler sing_handler,
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231 blas_trans_type transt = blas_no_trans) const;
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232
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233 ColumnVector solve (const ColumnVector& b) const;
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234 ColumnVector solve (const ColumnVector& b, octave_idx_type& info) const;
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235 ColumnVector solve (const ColumnVector& b, octave_idx_type& info, double& rcon) const;
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236 ColumnVector solve (const ColumnVector& b, octave_idx_type& info, double& rcon,
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237 solve_singularity_handler sing_handler,
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238 blas_trans_type transt = blas_no_trans) const;
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239
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240 ComplexColumnVector solve (const ComplexColumnVector& b) const;
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241 ComplexColumnVector solve (const ComplexColumnVector& b, octave_idx_type& info) const;
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242 ComplexColumnVector solve (const ComplexColumnVector& b, octave_idx_type& info,
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243 double& rcon) const;
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244 ComplexColumnVector solve (const ComplexColumnVector& b, octave_idx_type& info,
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245 double& rcon, solve_singularity_handler sing_handler,
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246 blas_trans_type transt = blas_no_trans) const;
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247
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248 // Singular solvers
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249 Matrix lssolve (const Matrix& b) const;
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250 Matrix lssolve (const Matrix& b, octave_idx_type& info) const;
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251 Matrix lssolve (const Matrix& b, octave_idx_type& info,
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252 octave_idx_type& rank) const;
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253 Matrix lssolve (const Matrix& b, octave_idx_type& info,
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254 octave_idx_type& rank, double& rcon) const;
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255
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256 ComplexMatrix lssolve (const ComplexMatrix& b) const;
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257 ComplexMatrix lssolve (const ComplexMatrix& b, octave_idx_type& info) const;
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258 ComplexMatrix lssolve (const ComplexMatrix& b, octave_idx_type& info,
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259 octave_idx_type& rank) const;
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260 ComplexMatrix lssolve (const ComplexMatrix& b, octave_idx_type& info,
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261 octave_idx_type& rank, double &rcon) const;
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262
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263 ColumnVector lssolve (const ColumnVector& b) const;
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264 ColumnVector lssolve (const ColumnVector& b, octave_idx_type& info) const;
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265 ColumnVector lssolve (const ColumnVector& b, octave_idx_type& info,
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266 octave_idx_type& rank) const;
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267 ColumnVector lssolve (const ColumnVector& b, octave_idx_type& info,
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268 octave_idx_type& rank, double& rcon) const;
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269
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270 ComplexColumnVector lssolve (const ComplexColumnVector& b) const;
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271 ComplexColumnVector lssolve (const ComplexColumnVector& b,
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272 octave_idx_type& info) const;
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273 ComplexColumnVector lssolve (const ComplexColumnVector& b,
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274 octave_idx_type& info,
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275 octave_idx_type& rank) const;
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276 ComplexColumnVector lssolve (const ComplexColumnVector& b,
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277 octave_idx_type& info,
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278 octave_idx_type& rank, double& rcon) const;
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279
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280 Matrix& operator += (const DiagMatrix& a);
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281 Matrix& operator -= (const DiagMatrix& a);
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282
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283 // unary operations
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284
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285 boolMatrix operator ! (void) const;
458
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286
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287 // other operations
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288
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289 bool any_element_is_negative (bool = false) const;
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290 bool any_element_is_nan (void) const;
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291 bool any_element_is_inf_or_nan (void) const;
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292 bool any_element_not_one_or_zero (void) const;
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293 bool all_elements_are_int_or_inf_or_nan (void) const;
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294 bool all_integers (double& max_val, double& min_val) const;
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295 bool too_large_for_float (void) const;
1963
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296
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297 boolMatrix all (int dim = -1) const;
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298 boolMatrix any (int dim = -1) const;
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299
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300 Matrix cumprod (int dim = -1) const;
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301 Matrix cumsum (int dim = -1) const;
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302 Matrix prod (int dim = -1) const;
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303 Matrix sum (int dim = -1) const;
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304 Matrix sumsq (int dim = -1) const;
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305 Matrix abs (void) const;
458
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306
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307 Matrix diag (octave_idx_type k = 0) const;
458
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308
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309 ColumnVector row_min (void) const;
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310 ColumnVector row_max (void) const;
458
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311
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312 ColumnVector row_min (Array<octave_idx_type>& index) const;
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313 ColumnVector row_max (Array<octave_idx_type>& index) const;
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314
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315 RowVector column_min (void) const;
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316 RowVector column_max (void) const;
458
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317
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318 RowVector column_min (Array<octave_idx_type>& index) const;
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319 RowVector column_max (Array<octave_idx_type>& index) const;
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320
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321 // i/o
458
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322
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323 friend OCTAVE_API std::ostream& operator << (std::ostream& os, const Matrix& a);
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324 friend OCTAVE_API std::istream& operator >> (std::istream& is, Matrix& a);
458
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325
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326 static double resize_fill_value (void) { return 0; }
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327
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328 };
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329
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330 // Publish externally used friend functions.
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331
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332 extern OCTAVE_API Matrix real (const ComplexMatrix& a);
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333 extern OCTAVE_API Matrix imag (const ComplexMatrix& a);
5508
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334
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335 // column vector by row vector -> matrix operations
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336
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337 extern OCTAVE_API Matrix operator * (const ColumnVector& a, const RowVector& b);
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338
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339 // Other functions.
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340
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341 extern OCTAVE_API Matrix Givens (double, double);
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342
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343 extern OCTAVE_API Matrix Sylvester (const Matrix&, const Matrix&, const Matrix&);
1959
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344
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345 extern OCTAVE_API Matrix xgemm (const Matrix& a, const Matrix& b,
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346 blas_trans_type transa = blas_no_trans,
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347 blas_trans_type transb = blas_no_trans);
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348
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349 extern OCTAVE_API Matrix operator * (const Matrix& a, const Matrix& b);
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350
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351 extern OCTAVE_API Matrix min (double d, const Matrix& m);
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352 extern OCTAVE_API Matrix min (const Matrix& m, double d);
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353 extern OCTAVE_API Matrix min (const Matrix& a, const Matrix& b);
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354
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355 extern OCTAVE_API Matrix max (double d, const Matrix& m);
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356 extern OCTAVE_API Matrix max (const Matrix& m, double d);
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357 extern OCTAVE_API Matrix max (const Matrix& a, const Matrix& b);
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358
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359 extern OCTAVE_API Matrix linspace (const ColumnVector& x1,
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360 const ColumnVector& x2,
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361 octave_idx_type n);
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362
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363 MS_CMP_OP_DECLS (Matrix, double, OCTAVE_API)
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364 MS_BOOL_OP_DECLS (Matrix, double, OCTAVE_API)
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365
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366 SM_CMP_OP_DECLS (double, Matrix, OCTAVE_API)
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367 SM_BOOL_OP_DECLS (double, Matrix, OCTAVE_API)
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368
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369 MM_CMP_OP_DECLS (Matrix, Matrix, OCTAVE_API)
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370 MM_BOOL_OP_DECLS (Matrix, Matrix, OCTAVE_API)
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371
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diff changeset
372 MARRAY_FORWARD_DEFS (MArray, Matrix, double)
3573
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373
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374 template <class T>
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375 void read_int (std::istream& is, bool swap_bytes, T& val);
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376
458
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377 #endif