annotate liboctave/array/dMatrix.h @ 19353:3746b92739f7

Replace some duplicated code and count on methods implemented on base classes. * liboctave/array/CMatrix.cc, liboctave/array/CMatrix.h, liboctave/array/dMatrix.cc, liboctave/array/dMatrix.h, liboctave/array/fCMatrix.cc, liboctave/array/fCMatrix.h, liboctave/array/fMatrix.cc, liboctave/array/fMatrix.h: remove a lot of duplicate code from Matrix type classes now that these classes inherit from their NDArrays counterpart. These mostly include operator ! and =, any_element_is_nan, any_element_is_inf_or_nan, all_elements_are_real, all_integers, too_large_for_float, all, any, cumprod, cumsum, prod, sum, sumsq, and abs. In some cases these need to still appear on the Matrix definition to avoid slicing.
author Carnë Draug <carandraug@octave.org>
date Fri, 07 Nov 2014 10:41:18 +0000
parents d0c73e23a505
children 385499581a5e
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1 /*
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2
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3 Copyright (C) 1994-2013 John W. Eaton
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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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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_dMatrix_h)
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24 #define octave_dMatrix_h 1
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26 #include "dNDArray.h"
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27 #include "MArray.h"
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28 #include "MDiagArray2.h"
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29 #include "MatrixType.h"
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31 #include "mx-defs.h"
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32 #include "mx-op-decl.h"
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33 #include "DET.h"
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35 class
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36 OCTAVE_API
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37 Matrix : public NDArray
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38 {
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39 public:
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40
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41 typedef ColumnVector column_vector_type;
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42 typedef RowVector row_vector_type;
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43
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44 typedef void (*solve_singularity_handler) (double rcon);
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45
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46 Matrix (void) : NDArray () { }
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47
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48 Matrix (octave_idx_type r, octave_idx_type c)
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49 : NDArray (dim_vector (r, c)) { }
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51 Matrix (octave_idx_type r, octave_idx_type c, double val)
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52 : NDArray (dim_vector (r, c), val) { }
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54 Matrix (const dim_vector& dv) : NDArray (dv.redim (2)) { }
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56 Matrix (const dim_vector& dv, double val)
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57 : NDArray (dv.redim (2), val) { }
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59 Matrix (const Matrix& a) : NDArray (a) { }
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61 template <class U>
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62 Matrix (const MArray<U>& a) : NDArray (a.as_matrix ()) { }
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64 template <class U>
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65 Matrix (const Array<U>& a) : NDArray (a.as_matrix ()) { }
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66
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67 explicit Matrix (const RowVector& rv);
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69 explicit Matrix (const ColumnVector& cv);
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71 explicit Matrix (const DiagMatrix& a);
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72
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73 explicit Matrix (const PermMatrix& a);
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74
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75 explicit Matrix (const boolMatrix& a);
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77 explicit Matrix (const charMatrix& a);
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78
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79 bool operator == (const Matrix& a) const;
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80 bool operator != (const Matrix& a) const;
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82 bool is_symmetric (void) const;
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83
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84 // destructive insert/delete/reorder operations
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85
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86 Matrix& insert (const Matrix& a, octave_idx_type r, octave_idx_type c);
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87 Matrix& insert (const RowVector& a, octave_idx_type r, octave_idx_type c);
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88 Matrix& insert (const ColumnVector& a, octave_idx_type r, octave_idx_type c);
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89 Matrix& insert (const DiagMatrix& a, octave_idx_type r, octave_idx_type c);
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90
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91 Matrix& fill (double val);
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92 Matrix& fill (double val, octave_idx_type r1, octave_idx_type c1,
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93 octave_idx_type r2, octave_idx_type c2);
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94
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95 Matrix append (const Matrix& a) const;
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96 Matrix append (const RowVector& a) const;
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97 Matrix append (const ColumnVector& a) const;
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98 Matrix append (const DiagMatrix& a) const;
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99
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100 Matrix stack (const Matrix& a) const;
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101 Matrix stack (const RowVector& a) const;
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102 Matrix stack (const ColumnVector& a) const;
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103 Matrix stack (const DiagMatrix& a) const;
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104
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105 friend OCTAVE_API Matrix real (const ComplexMatrix& a);
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106 friend OCTAVE_API Matrix imag (const ComplexMatrix& a);
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107
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108 friend class ComplexMatrix;
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109
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110 Matrix transpose (void) const { return MArray<double>::transpose (); }
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111
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112 // resize is the destructive equivalent for this one
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113
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114 Matrix extract (octave_idx_type r1, octave_idx_type c1,
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115 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,
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118 octave_idx_type nr, octave_idx_type nc) const;
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119
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120 // extract row or column i.
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121
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122 RowVector row (octave_idx_type i) const;
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123
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124 ColumnVector column (octave_idx_type i) const;
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125
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126 void resize (octave_idx_type nr, octave_idx_type nc, double rfv = 0)
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127 {
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128 MArray<double>::resize (dim_vector (nr, nc), rfv);
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129 }
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130
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131 private:
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132 Matrix tinverse (MatrixType &mattype, octave_idx_type& info, double& rcon,
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133 int force, int calc_cond) const;
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134
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135 Matrix finverse (MatrixType &mattype, octave_idx_type& info, double& rcon,
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136 int force, int calc_cond) const;
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137
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138 public:
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139 Matrix inverse (void) const;
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140 Matrix inverse (octave_idx_type& info) const;
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141 Matrix inverse (octave_idx_type& info, double& rcon, int force = 0,
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142 int calc_cond = 1) const;
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143
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144 Matrix inverse (MatrixType &mattype) const;
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145 Matrix inverse (MatrixType &mattype, octave_idx_type& info) const;
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146 Matrix inverse (MatrixType &mattype, octave_idx_type& info, double& rcon,
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147 int force = 0, int calc_cond = 1) const;
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148
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149 Matrix pseudo_inverse (double tol = 0.0) const;
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150
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151 ComplexMatrix fourier (void) const;
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152 ComplexMatrix ifourier (void) const;
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153
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154 ComplexMatrix fourier2d (void) const;
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155 ComplexMatrix ifourier2d (void) const;
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156
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157 DET determinant (void) const;
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158 DET determinant (octave_idx_type& info) const;
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159 DET determinant (octave_idx_type& info, double& rcon,
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160 int calc_cond = 1) const;
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161 DET determinant (MatrixType &mattype, octave_idx_type& info,
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162 double& rcon, int calc_cond = 1) const;
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163
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164 double rcond (void) const;
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165 double rcond (MatrixType &mattype) const;
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166
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167 private:
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168 // Upper triangular matrix solvers
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169 Matrix utsolve (MatrixType &typ, const Matrix& b, octave_idx_type& info,
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170 double& rcon, solve_singularity_handler sing_handler,
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171 bool calc_cond = false,
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172 blas_trans_type transt = blas_no_trans) const;
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173
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174 // Lower triangular matrix solvers
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175 Matrix ltsolve (MatrixType &typ, const Matrix& b, octave_idx_type& info,
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176 double& rcon, solve_singularity_handler sing_handler,
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177 bool calc_cond = false,
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178 blas_trans_type transt = blas_no_trans) const;
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179
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180 // Full matrix solvers (lu/cholesky)
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181 Matrix fsolve (MatrixType &typ, const Matrix& b, octave_idx_type& info,
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182 double& rcon, solve_singularity_handler sing_handler,
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183 bool calc_cond = false) const;
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184
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185 public:
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186 // Generic interface to solver with no probing of type
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187 Matrix solve (MatrixType &typ, const Matrix& b) const;
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188 Matrix solve (MatrixType &typ, const Matrix& b, octave_idx_type& info) const;
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189 Matrix solve (MatrixType &typ, const Matrix& b, octave_idx_type& info,
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190 double& rcon) const;
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191 Matrix solve (MatrixType &typ, const Matrix& b, octave_idx_type& info,
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192 double& rcon, solve_singularity_handler sing_handler,
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193 bool singular_fallback = true,
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194 blas_trans_type transt = blas_no_trans) const;
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195
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196 ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b) const;
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197 ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b,
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198 octave_idx_type& info) const;
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199 ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b,
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200 octave_idx_type& info, double& rcon) const;
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201 ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b,
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202 octave_idx_type& info, double& rcon,
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203 solve_singularity_handler sing_handler,
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204 bool singular_fallback = true,
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205 blas_trans_type transt = blas_no_trans) const;
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206
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207 ColumnVector solve (MatrixType &typ, const ColumnVector& b) const;
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208 ColumnVector solve (MatrixType &typ, const ColumnVector& b,
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209 octave_idx_type& info) const;
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210 ColumnVector solve (MatrixType &typ, const ColumnVector& b,
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211 octave_idx_type& info, double& rcon) const;
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212 ColumnVector solve (MatrixType &typ, const ColumnVector& b,
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213 octave_idx_type& info, double& rcon,
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214 solve_singularity_handler sing_handler,
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215 blas_trans_type transt = blas_no_trans) const;
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216
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217 ComplexColumnVector solve (MatrixType &typ,
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218 const ComplexColumnVector& b) const;
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219 ComplexColumnVector solve (MatrixType &typ, const ComplexColumnVector& b,
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220 octave_idx_type& info) const;
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221 ComplexColumnVector solve (MatrixType &typ, const ComplexColumnVector& b,
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222 octave_idx_type& info, double& rcon) const;
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223 ComplexColumnVector solve (MatrixType &typ, const ComplexColumnVector& b,
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224 octave_idx_type& info, double& rcon,
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225 solve_singularity_handler sing_handler,
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226 blas_trans_type transt = blas_no_trans) const;
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227
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228 // Generic interface to solver with probing of type
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229 Matrix solve (const Matrix& b) const;
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230 Matrix solve (const Matrix& b, octave_idx_type& info) const;
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231 Matrix solve (const Matrix& b, octave_idx_type& info, double& rcon) const;
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232 Matrix solve (const Matrix& b, octave_idx_type& info, double& rcon,
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233 solve_singularity_handler sing_handler,
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234 blas_trans_type transt = blas_no_trans) const;
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235
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236 ComplexMatrix solve (const ComplexMatrix& b) const;
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237 ComplexMatrix solve (const ComplexMatrix& b, octave_idx_type& info) const;
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238 ComplexMatrix solve (const ComplexMatrix& b, octave_idx_type& info,
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239 double& rcon) const;
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240 ComplexMatrix solve (const ComplexMatrix& b, octave_idx_type& info,
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241 double& rcon,
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242 solve_singularity_handler sing_handler,
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243 blas_trans_type transt = blas_no_trans) const;
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244
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245 ColumnVector solve (const ColumnVector& b) const;
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246 ColumnVector solve (const ColumnVector& b, octave_idx_type& info) const;
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247 ColumnVector solve (const ColumnVector& b, octave_idx_type& info,
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248 double& rcon) const;
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249 ColumnVector solve (const ColumnVector& b, octave_idx_type& info,
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250 double& rcon,
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251 solve_singularity_handler sing_handler,
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252 blas_trans_type transt = blas_no_trans) const;
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253
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254 ComplexColumnVector solve (const ComplexColumnVector& b) const;
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255 ComplexColumnVector solve (const ComplexColumnVector& b,
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256 octave_idx_type& info) const;
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257 ComplexColumnVector solve (const ComplexColumnVector& b,
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258 octave_idx_type& info, double& rcon) const;
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259 ComplexColumnVector solve (const ComplexColumnVector& b,
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260 octave_idx_type& info, double& rcon,
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261 solve_singularity_handler sing_handler,
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262 blas_trans_type transt = blas_no_trans) const;
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263
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264 // Singular solvers
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265 Matrix lssolve (const Matrix& b) const;
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266 Matrix lssolve (const Matrix& b, octave_idx_type& info) const;
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267 Matrix lssolve (const Matrix& b, octave_idx_type& info,
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268 octave_idx_type& rank) const;
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269 Matrix lssolve (const Matrix& b, octave_idx_type& info,
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270 octave_idx_type& rank, double& rcon) const;
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271
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272 ComplexMatrix lssolve (const ComplexMatrix& b) const;
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273 ComplexMatrix lssolve (const ComplexMatrix& b, octave_idx_type& info) const;
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274 ComplexMatrix lssolve (const ComplexMatrix& b, octave_idx_type& info,
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275 octave_idx_type& rank) const;
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276 ComplexMatrix lssolve (const ComplexMatrix& b, octave_idx_type& info,
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277 octave_idx_type& rank, double &rcon) const;
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278
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279 ColumnVector lssolve (const ColumnVector& b) const;
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280 ColumnVector lssolve (const ColumnVector& b, octave_idx_type& info) const;
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281 ColumnVector lssolve (const ColumnVector& b, octave_idx_type& info,
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282 octave_idx_type& rank) const;
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283 ColumnVector lssolve (const ColumnVector& b, octave_idx_type& info,
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284 octave_idx_type& rank, double& rcon) const;
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285
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286 ComplexColumnVector lssolve (const ComplexColumnVector& b) const;
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287 ComplexColumnVector lssolve (const ComplexColumnVector& b,
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288 octave_idx_type& info) const;
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289 ComplexColumnVector lssolve (const ComplexColumnVector& b,
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290 octave_idx_type& info,
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291 octave_idx_type& rank) const;
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292 ComplexColumnVector lssolve (const ComplexColumnVector& b,
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293 octave_idx_type& info,
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294 octave_idx_type& rank, double& rcon) const;
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295
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296 Matrix& operator += (const DiagMatrix& a);
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297 Matrix& operator -= (const DiagMatrix& a);
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298
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299 // unary operations
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300
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301 // other operations
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302
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303 boolMatrix all (int dim = -1) const;
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304 boolMatrix any (int dim = -1) const;
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305
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306 Matrix cumprod (int dim = -1) const;
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307 Matrix cumsum (int dim = -1) const;
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308 Matrix prod (int dim = -1) const;
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309 Matrix sum (int dim = -1) const;
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310 Matrix sumsq (int dim = -1) const;
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311 Matrix abs (void) const;
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312
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313 Matrix diag (octave_idx_type k = 0) const;
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314
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315 DiagMatrix diag (octave_idx_type m, octave_idx_type n) const;
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316
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317 ColumnVector row_min (void) const;
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318 ColumnVector row_max (void) const;
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319
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320 ColumnVector row_min (Array<octave_idx_type>& index) const;
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321 ColumnVector row_max (Array<octave_idx_type>& index) const;
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322
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323 RowVector column_min (void) const;
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324 RowVector column_max (void) const;
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325
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326 RowVector column_min (Array<octave_idx_type>& index) const;
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327 RowVector column_max (Array<octave_idx_type>& index) const;
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328
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329 // i/o
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330
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331 friend OCTAVE_API std::ostream& operator << (std::ostream& os,
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332 const Matrix& a);
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333 friend OCTAVE_API std::istream& operator >> (std::istream& is, Matrix& a);
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334 };
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335
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336 // Publish externally used friend functions.
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337
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338 extern OCTAVE_API Matrix real (const ComplexMatrix& a);
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339 extern OCTAVE_API Matrix imag (const ComplexMatrix& a);
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340
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341 // column vector by row vector -> matrix operations
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342
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343 extern OCTAVE_API Matrix operator * (const ColumnVector& a,
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344 const RowVector& b);
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345
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346 // Other functions.
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347
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348 extern OCTAVE_API Matrix Givens (double, double);
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349
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350 extern OCTAVE_API Matrix Sylvester (const Matrix&, const Matrix&,
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351 const Matrix&);
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352
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353 extern OCTAVE_API Matrix xgemm (const Matrix& a, const Matrix& b,
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354 blas_trans_type transa = blas_no_trans,
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355 blas_trans_type transb = blas_no_trans);
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356
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357 extern OCTAVE_API Matrix operator * (const Matrix& a, const Matrix& b);
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358
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359 extern OCTAVE_API Matrix min (double d, const Matrix& m);
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360 extern OCTAVE_API Matrix min (const Matrix& m, double d);
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361 extern OCTAVE_API Matrix min (const Matrix& a, const Matrix& b);
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362
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363 extern OCTAVE_API Matrix max (double d, const Matrix& m);
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364 extern OCTAVE_API Matrix max (const Matrix& m, double d);
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365 extern OCTAVE_API Matrix max (const Matrix& a, const Matrix& b);
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366
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367 extern OCTAVE_API Matrix linspace (const ColumnVector& x1,
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368 const ColumnVector& x2,
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369 octave_idx_type n);
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370
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371 MS_CMP_OP_DECLS (Matrix, double, OCTAVE_API)
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372 MS_BOOL_OP_DECLS (Matrix, double, OCTAVE_API)
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373
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374 SM_CMP_OP_DECLS (double, Matrix, OCTAVE_API)
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375 SM_BOOL_OP_DECLS (double, Matrix, OCTAVE_API)
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376
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377 MM_CMP_OP_DECLS (Matrix, Matrix, OCTAVE_API)
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378 MM_BOOL_OP_DECLS (Matrix, Matrix, OCTAVE_API)
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379
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380 MARRAY_FORWARD_DEFS (MArray, Matrix, double)
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381
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382 template <class T>
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383 void read_int (std::istream& is, bool swap_bytes, T& val);
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384
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385 #endif