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data member initialization fixes
author John W. Eaton <jwe@octave.org>
date Thu, 13 Jan 2011 02:37:45 -0500
parents 96ed7c629bbd
children fd0a3ac60b0e
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1 /*
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2
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3 Copyright (C) 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2002, 2003,
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4 2004, 2005, 2006, 2007, 2008, 2009 John W. Eaton
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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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22 */
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24 #if !defined (octave_Matrix_int_h)
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25 #define octave_Matrix_int_h 1
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26
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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 MArray<double>
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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) : MArray<double> () { }
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47
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48 Matrix (octave_idx_type r, octave_idx_type c) : MArray<double> (r, c) { }
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49
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50 Matrix (octave_idx_type r, octave_idx_type c, double val) : MArray<double> (r, c, val) { }
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51
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52 Matrix (const dim_vector& dv) : MArray<double> (dv.redim (2)) { }
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54 Matrix (const dim_vector& dv, double val) : MArray<double> (dv.redim (2), val) { }
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56 Matrix (const Matrix& a) : MArray<double> (a) { }
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57
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58 template <class U>
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59 Matrix (const MArray<U>& a) : MArray<double> (a.as_matrix ()) { }
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61 template <class U>
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62 Matrix (const Array<U>& a) : MArray<double> (a.as_matrix ()) { }
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63
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64 explicit Matrix (const RowVector& rv);
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66 explicit Matrix (const ColumnVector& cv);
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67
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68 explicit Matrix (const DiagMatrix& a);
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69
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70 explicit Matrix (const PermMatrix& a);
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71
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72 explicit Matrix (const boolMatrix& a);
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73
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74 explicit Matrix (const charMatrix& a);
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75
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76 Matrix& operator = (const Matrix& a)
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77 {
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78 MArray<double>::operator = (a);
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79 return *this;
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80 }
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81
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82 bool operator == (const Matrix& a) const;
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83 bool operator != (const Matrix& a) const;
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84
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85 bool is_symmetric (void) const;
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86
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87 // destructive insert/delete/reorder operations
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88
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89 Matrix& insert (const Matrix& a, octave_idx_type r, octave_idx_type c);
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90 Matrix& insert (const RowVector& a, octave_idx_type r, octave_idx_type c);
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91 Matrix& insert (const ColumnVector& a, octave_idx_type r, octave_idx_type c);
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92 Matrix& insert (const DiagMatrix& a, octave_idx_type r, octave_idx_type c);
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93
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94 Matrix& fill (double val);
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95 Matrix& fill (double val, octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2);
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96
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97 Matrix append (const Matrix& a) const;
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98 Matrix append (const RowVector& a) const;
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99 Matrix append (const ColumnVector& a) const;
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100 Matrix append (const DiagMatrix& a) const;
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101
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102 Matrix stack (const Matrix& a) const;
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103 Matrix stack (const RowVector& a) const;
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104 Matrix stack (const ColumnVector& a) const;
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105 Matrix stack (const DiagMatrix& a) const;
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106
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107 friend OCTAVE_API Matrix real (const ComplexMatrix& a);
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108 friend OCTAVE_API Matrix imag (const ComplexMatrix& a);
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109
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110 friend class ComplexMatrix;
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111
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112 Matrix transpose (void) const { return MArray<double>::transpose (); }
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113
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114 // resize is the destructive equivalent for this one
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115
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116 Matrix extract (octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2) const;
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117
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118 Matrix extract_n (octave_idx_type r1, octave_idx_type c1, 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 private:
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127 Matrix tinverse (MatrixType &mattype, octave_idx_type& info, double& rcon,
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128 int force, int calc_cond) const;
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129
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130 Matrix finverse (MatrixType &mattype, octave_idx_type& info, double& rcon,
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131 int force, int calc_cond) const;
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132
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133 public:
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134 Matrix inverse (void) const;
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135 Matrix inverse (octave_idx_type& info) const;
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136 Matrix inverse (octave_idx_type& info, double& rcon, int force = 0,
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137 int calc_cond = 1) const;
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138
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139 Matrix inverse (MatrixType &mattype) const;
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140 Matrix inverse (MatrixType &mattype, octave_idx_type& info) const;
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141 Matrix inverse (MatrixType &mattype, octave_idx_type& info, double& rcon,
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142 int force = 0, int calc_cond = 1) const;
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143
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144 Matrix pseudo_inverse (double tol = 0.0) const;
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145
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146 ComplexMatrix fourier (void) const;
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147 ComplexMatrix ifourier (void) const;
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148
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149 ComplexMatrix fourier2d (void) const;
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150 ComplexMatrix ifourier2d (void) const;
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151
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152 DET determinant (void) const;
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153 DET determinant (octave_idx_type& info) const;
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154 DET determinant (octave_idx_type& info, double& rcon, int calc_cond = 1) const;
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155 DET determinant (MatrixType &mattype, octave_idx_type& info,
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156 double& rcon, int calc_cond = 1) const;
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157
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158 double rcond (void) const;
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159 double rcond (MatrixType &mattype) const;
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160
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161 private:
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162 // Upper triangular matrix solvers
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163 Matrix utsolve (MatrixType &typ, const Matrix& b, octave_idx_type& info,
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164 double& rcon, solve_singularity_handler sing_handler,
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165 bool calc_cond = false, blas_trans_type transt = blas_no_trans) const;
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166
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167 // Lower triangular matrix solvers
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168 Matrix ltsolve (MatrixType &typ, const Matrix& b, octave_idx_type& info,
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169 double& rcon, solve_singularity_handler sing_handler,
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170 bool calc_cond = false, blas_trans_type transt = blas_no_trans) const;
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171
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172 // Full matrix solvers (lu/cholesky)
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173 Matrix fsolve (MatrixType &typ, const Matrix& b, octave_idx_type& info,
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174 double& rcon, 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 public:
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178 // Generic interface to solver with no probing of type
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179 Matrix solve (MatrixType &typ, const Matrix& b) const;
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180 Matrix solve (MatrixType &typ, const Matrix& b, octave_idx_type& info) const;
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181 Matrix solve (MatrixType &typ, const Matrix& b, octave_idx_type& info,
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182 double& rcon) const;
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183 Matrix solve (MatrixType &typ, const Matrix& b, octave_idx_type& info,
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184 double& rcon, solve_singularity_handler sing_handler,
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185 bool singular_fallback = true, blas_trans_type transt = blas_no_trans) const;
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186
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187 ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b) const;
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188 ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b,
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189 octave_idx_type& info) const;
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190 ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b,
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191 octave_idx_type& info, double& rcon) const;
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192 ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b,
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193 octave_idx_type& info, double& rcon,
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194 solve_singularity_handler sing_handler,
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195 bool singular_fallback = true,
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196 blas_trans_type transt = blas_no_trans) const;
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197
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198 ColumnVector solve (MatrixType &typ, const ColumnVector& b) const;
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199 ColumnVector solve (MatrixType &typ, const ColumnVector& b,
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200 octave_idx_type& info) const;
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201 ColumnVector solve (MatrixType &typ, const ColumnVector& b,
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202 octave_idx_type& info, double& rcon) const;
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203 ColumnVector solve (MatrixType &typ, const ColumnVector& b,
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204 octave_idx_type& info, double& rcon,
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205 solve_singularity_handler sing_handler,
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206 blas_trans_type transt = blas_no_trans) const;
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207
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208 ComplexColumnVector solve (MatrixType &typ,
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209 const ComplexColumnVector& b) const;
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210 ComplexColumnVector solve (MatrixType &typ, const ComplexColumnVector& b,
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211 octave_idx_type& info) const;
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212 ComplexColumnVector solve (MatrixType &typ, const ComplexColumnVector& b,
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213 octave_idx_type& info, double& rcon) const;
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214 ComplexColumnVector solve (MatrixType &typ, const ComplexColumnVector& b,
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215 octave_idx_type& info, double& rcon,
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216 solve_singularity_handler sing_handler,
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217 blas_trans_type transt = blas_no_trans) const;
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218
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219 // Generic interface to solver with probing of type
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220 Matrix solve (const Matrix& b) const;
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221 Matrix solve (const Matrix& b, octave_idx_type& info) const;
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222 Matrix solve (const Matrix& b, octave_idx_type& info, double& rcon) const;
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223 Matrix solve (const Matrix& b, octave_idx_type& info, double& rcon,
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224 solve_singularity_handler sing_handler,
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225 blas_trans_type transt = blas_no_trans) const;
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226
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227 ComplexMatrix solve (const ComplexMatrix& b) const;
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228 ComplexMatrix solve (const ComplexMatrix& b, octave_idx_type& info) const;
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229 ComplexMatrix solve (const ComplexMatrix& b, octave_idx_type& info, double& rcon) const;
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230 ComplexMatrix solve (const ComplexMatrix& b, octave_idx_type& info, double& rcon,
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231 solve_singularity_handler sing_handler,
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232 blas_trans_type transt = blas_no_trans) const;
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233
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234 ColumnVector solve (const ColumnVector& b) const;
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235 ColumnVector solve (const ColumnVector& b, octave_idx_type& info) const;
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236 ColumnVector solve (const ColumnVector& b, octave_idx_type& info, double& rcon) const;
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237 ColumnVector solve (const ColumnVector& b, octave_idx_type& info, double& rcon,
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238 solve_singularity_handler sing_handler,
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239 blas_trans_type transt = blas_no_trans) const;
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240
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241 ComplexColumnVector solve (const ComplexColumnVector& b) const;
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242 ComplexColumnVector solve (const ComplexColumnVector& b, octave_idx_type& info) const;
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243 ComplexColumnVector solve (const ComplexColumnVector& b, octave_idx_type& info,
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244 double& rcon) const;
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245 ComplexColumnVector solve (const ComplexColumnVector& b, octave_idx_type& info,
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246 double& rcon, solve_singularity_handler sing_handler,
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247 blas_trans_type transt = blas_no_trans) const;
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248
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249 // Singular solvers
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250 Matrix lssolve (const Matrix& b) const;
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251 Matrix lssolve (const Matrix& b, octave_idx_type& info) const;
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252 Matrix lssolve (const Matrix& b, octave_idx_type& info,
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253 octave_idx_type& rank) const;
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254 Matrix lssolve (const Matrix& b, octave_idx_type& info,
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255 octave_idx_type& rank, double& rcon) const;
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256
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257 ComplexMatrix lssolve (const ComplexMatrix& b) const;
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258 ComplexMatrix lssolve (const ComplexMatrix& b, octave_idx_type& info) const;
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259 ComplexMatrix lssolve (const ComplexMatrix& b, octave_idx_type& info,
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260 octave_idx_type& rank) const;
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261 ComplexMatrix lssolve (const ComplexMatrix& b, octave_idx_type& info,
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262 octave_idx_type& rank, double &rcon) const;
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263
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264 ColumnVector lssolve (const ColumnVector& b) const;
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265 ColumnVector lssolve (const ColumnVector& b, octave_idx_type& info) const;
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266 ColumnVector lssolve (const ColumnVector& b, octave_idx_type& info,
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267 octave_idx_type& rank) const;
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268 ColumnVector lssolve (const ColumnVector& b, octave_idx_type& info,
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269 octave_idx_type& rank, double& rcon) const;
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270
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271 ComplexColumnVector lssolve (const ComplexColumnVector& b) const;
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272 ComplexColumnVector lssolve (const ComplexColumnVector& b,
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273 octave_idx_type& info) const;
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274 ComplexColumnVector lssolve (const ComplexColumnVector& b,
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275 octave_idx_type& info,
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276 octave_idx_type& rank) const;
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277 ComplexColumnVector lssolve (const ComplexColumnVector& b,
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278 octave_idx_type& info,
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279 octave_idx_type& rank, double& rcon) const;
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280
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281 Matrix& operator += (const DiagMatrix& a);
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282 Matrix& operator -= (const DiagMatrix& a);
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283
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284 // unary operations
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285
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286 boolMatrix operator ! (void) const;
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287
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288 // other operations
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289
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290 bool any_element_is_negative (bool = false) const;
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291 bool any_element_is_nan (void) const;
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292 bool any_element_is_inf_or_nan (void) const;
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293 bool any_element_not_one_or_zero (void) const;
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294 bool all_elements_are_int_or_inf_or_nan (void) const;
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295 bool all_integers (double& max_val, double& min_val) const;
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296 bool too_large_for_float (void) const;
1963
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297
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298 boolMatrix all (int dim = -1) const;
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299 boolMatrix any (int dim = -1) const;
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300
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301 Matrix cumprod (int dim = -1) const;
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302 Matrix cumsum (int dim = -1) const;
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303 Matrix prod (int dim = -1) const;
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304 Matrix sum (int dim = -1) const;
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305 Matrix sumsq (int dim = -1) const;
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306 Matrix abs (void) const;
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307
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308 Matrix diag (octave_idx_type k = 0) const;
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309
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310 ColumnVector row_min (void) const;
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311 ColumnVector row_max (void) const;
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312
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313 ColumnVector row_min (Array<octave_idx_type>& index) const;
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314 ColumnVector row_max (Array<octave_idx_type>& index) const;
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315
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316 RowVector column_min (void) const;
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317 RowVector column_max (void) const;
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318
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319 RowVector column_min (Array<octave_idx_type>& index) const;
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320 RowVector column_max (Array<octave_idx_type>& index) const;
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321
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322 // i/o
458
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323
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324 friend OCTAVE_API std::ostream& operator << (std::ostream& os, const Matrix& a);
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325 friend OCTAVE_API std::istream& operator >> (std::istream& is, Matrix& a);
458
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326
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327 static double resize_fill_value (void) { return 0; }
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328
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329 };
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330
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331 // Publish externally used friend functions.
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332
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333 extern OCTAVE_API Matrix real (const ComplexMatrix& a);
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334 extern OCTAVE_API Matrix imag (const ComplexMatrix& a);
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335
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336 // column vector by row vector -> matrix operations
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337
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338 extern OCTAVE_API Matrix operator * (const ColumnVector& a, const RowVector& b);
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339
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340 // Other functions.
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341
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342 extern OCTAVE_API Matrix Givens (double, double);
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343
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344 extern OCTAVE_API Matrix Sylvester (const Matrix&, const Matrix&, const Matrix&);
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345
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346 extern OCTAVE_API Matrix xgemm (const Matrix& a, const Matrix& b,
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347 blas_trans_type transa = blas_no_trans,
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348 blas_trans_type transb = blas_no_trans);
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349
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350 extern OCTAVE_API Matrix operator * (const Matrix& a, const Matrix& b);
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351
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352 extern OCTAVE_API Matrix min (double d, const Matrix& m);
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353 extern OCTAVE_API Matrix min (const Matrix& m, double d);
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354 extern OCTAVE_API Matrix min (const Matrix& a, const Matrix& b);
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355
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356 extern OCTAVE_API Matrix max (double d, const Matrix& m);
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357 extern OCTAVE_API Matrix max (const Matrix& m, double d);
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358 extern OCTAVE_API Matrix max (const Matrix& a, const Matrix& b);
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359
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360 extern OCTAVE_API Matrix linspace (const ColumnVector& x1,
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361 const ColumnVector& x2,
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362 octave_idx_type n);
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363
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364 MS_CMP_OP_DECLS (Matrix, double, OCTAVE_API)
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365 MS_BOOL_OP_DECLS (Matrix, double, OCTAVE_API)
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366
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367 SM_CMP_OP_DECLS (double, Matrix, OCTAVE_API)
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368 SM_BOOL_OP_DECLS (double, Matrix, OCTAVE_API)
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369
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370 MM_CMP_OP_DECLS (Matrix, Matrix, OCTAVE_API)
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371 MM_BOOL_OP_DECLS (Matrix, Matrix, OCTAVE_API)
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372
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373 MARRAY_FORWARD_DEFS (MArray, Matrix, double)
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374
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375 template <class T>
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376 void read_int (std::istream& is, bool swap_bytes, T& val);
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377
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378 #endif