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annotate liboctave/array/fMatrix.h @ 21268:f08ae27289e4

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better use of templates for balance classes * aepbalance.h, aepbalance.cc: New files generated from base-aepbal.h, CmplxAEPBAL.cc, CmplxAEPBAL.h, dbleAEPBAL.cc, dbleAEPBAL.h, fCmplxAEPBAL.cc, fCmplxAEPBAL.h, floatAEPBAL.cc, and floatAEPBAL.h and making them templates. * gepbalance.h, gepbalance.cc: New files generate from CmplxGEPBAL.cc, CmplxGEPBAL.h, dbleGEPBAL.cc, dbleGEPBAL.h, fCmplxGEPBAL.cc, fCmplxGEPBAL.h, floatGEPBAL.cc, and floatGEPBAL.h and making them templates. * liboctave/numeric/module.mk: Update. * balance.cc, CMatrix.h, dMatrix.h, fCMatrix.h, fMatrix.h, mx-defs.h, mx-ext.h: Use new classes.
author John W. Eaton <jwe@octave.org>
date Tue, 16 Feb 2016 00:32:29 -0500
parents 1473547f50f5
children 3c8a3d35661a
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1 /*
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2
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3 Copyright (C) 1994-2015 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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20
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21 */
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22
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23 #if ! defined (octave_fMatrix_h)
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24 #define octave_fMatrix_h 1
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25
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26 #include "octave-config.h"
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27
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28 #include "fNDArray.h"
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29 #include "MArray.h"
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30 #include "MDiagArray2.h"
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31 #include "MatrixType.h"
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32
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33 #include "mx-defs.h"
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34 #include "mx-op-decl.h"
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35 #include "DET.h"
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36
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37 class
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38 OCTAVE_API
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39 FloatMatrix : public FloatNDArray
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40 {
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41 public:
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42
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43 typedef FloatColumnVector column_vector_type;
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44 typedef FloatRowVector row_vector_type;
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45
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46 typedef FloatColumnVector real_column_vector_type;
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47 typedef FloatRowVector real_row_vector_type;
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48
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49 typedef FloatMatrix real_matrix_type;
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50 typedef FloatComplexMatrix complex_matrix_type;
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51
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52 typedef void (*solve_singularity_handler) (float rcon);
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53
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54 FloatMatrix (void) : FloatNDArray () { }
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55
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56 FloatMatrix (octave_idx_type r, octave_idx_type c)
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57 : FloatNDArray (dim_vector (r, c)) { }
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58
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59 FloatMatrix (octave_idx_type r, octave_idx_type c, float val)
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60 : FloatNDArray (dim_vector (r, c), val) { }
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61
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62 FloatMatrix (const dim_vector& dv) : FloatNDArray (dv.redim (2)) { }
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63
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64 FloatMatrix (const dim_vector& dv, float val)
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65 : FloatNDArray (dv.redim (2), val) { }
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66
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67 FloatMatrix (const FloatMatrix& a) : FloatNDArray (a) { }
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68
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69 template <typename U>
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70 FloatMatrix (const MArray<U>& a) : FloatNDArray (a.as_matrix ()) { }
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72 template <typename U>
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73 FloatMatrix (const Array<U>& a) : FloatNDArray (a.as_matrix ()) { }
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74
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75 explicit FloatMatrix (const FloatRowVector& rv);
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76
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77 explicit FloatMatrix (const FloatColumnVector& cv);
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78
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79 explicit FloatMatrix (const FloatDiagMatrix& a);
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80
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81 explicit FloatMatrix (const MDiagArray2<float>& a);
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82
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83 explicit FloatMatrix (const DiagArray2<float>& a);
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84
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85 explicit FloatMatrix (const PermMatrix& a);
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86
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87 explicit FloatMatrix (const boolMatrix& a);
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88
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89 explicit FloatMatrix (const charMatrix& a);
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90
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91 bool operator == (const FloatMatrix& a) const;
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92 bool operator != (const FloatMatrix& a) const;
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93
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94 bool is_symmetric (void) const;
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95
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96 // destructive insert/delete/reorder operations
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97
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98 FloatMatrix& insert (const FloatMatrix& a,
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99 octave_idx_type r, octave_idx_type c);
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100 FloatMatrix& insert (const FloatRowVector& a,
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101 octave_idx_type r, octave_idx_type c);
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102 FloatMatrix& insert (const FloatColumnVector& a,
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103 octave_idx_type r, octave_idx_type c);
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104 FloatMatrix& insert (const FloatDiagMatrix& a,
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105 octave_idx_type r, octave_idx_type c);
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106
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107 FloatMatrix& fill (float val);
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108 FloatMatrix& fill (float val, octave_idx_type r1, octave_idx_type c1,
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109 octave_idx_type r2, octave_idx_type c2);
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110
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111 FloatMatrix append (const FloatMatrix& a) const;
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112 FloatMatrix append (const FloatRowVector& a) const;
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113 FloatMatrix append (const FloatColumnVector& a) const;
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114 FloatMatrix append (const FloatDiagMatrix& a) const;
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115
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116 FloatMatrix stack (const FloatMatrix& a) const;
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117 FloatMatrix stack (const FloatRowVector& a) const;
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118 FloatMatrix stack (const FloatColumnVector& a) const;
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119 FloatMatrix stack (const FloatDiagMatrix& a) const;
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120
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121 friend OCTAVE_API FloatMatrix real (const FloatComplexMatrix& a);
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122 friend OCTAVE_API FloatMatrix imag (const FloatComplexMatrix& a);
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123
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124 friend class FloatComplexMatrix;
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125
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126 FloatMatrix transpose (void) const { return MArray<float>::transpose (); }
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127
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128 // resize is the destructive equivalent for this one
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129
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130 FloatMatrix extract (octave_idx_type r1, octave_idx_type c1,
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131 octave_idx_type r2, octave_idx_type c2) const;
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132
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133 FloatMatrix extract_n (octave_idx_type r1, octave_idx_type c1,
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134 octave_idx_type nr, octave_idx_type nc) const;
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135
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136 // extract row or column i.
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137
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138 FloatRowVector row (octave_idx_type i) const;
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139
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140 FloatColumnVector column (octave_idx_type i) const;
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141
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142 void resize (octave_idx_type nr, octave_idx_type nc, float rfv = 0)
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143 {
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144 MArray<float>::resize (dim_vector (nr, nc), rfv);
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145 }
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146
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147 private:
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148 FloatMatrix tinverse (MatrixType &mattype, octave_idx_type& info,
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149 float& rcon, int force, int calc_cond) const;
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150
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151 FloatMatrix finverse (MatrixType &mattype, octave_idx_type& info,
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152 float& rcon, int force, int calc_cond) const;
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153
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154 public:
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155 FloatMatrix inverse (void) const;
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156 FloatMatrix inverse (octave_idx_type& info) const;
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157 FloatMatrix inverse (octave_idx_type& info, float& rcon, int force = 0,
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158 int calc_cond = 1) const;
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159
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160 FloatMatrix inverse (MatrixType &mattype) const;
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161 FloatMatrix inverse (MatrixType &mattype, octave_idx_type& info) const;
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162 FloatMatrix inverse (MatrixType &mattype, octave_idx_type& info, float& rcon,
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163 int force = 0, int calc_cond = 1) const;
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164
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165 FloatMatrix pseudo_inverse (float tol = 0.0) const;
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166
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167 FloatComplexMatrix fourier (void) const;
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168 FloatComplexMatrix ifourier (void) const;
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169
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170 FloatComplexMatrix fourier2d (void) const;
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171 FloatComplexMatrix ifourier2d (void) const;
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172
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173 FloatDET determinant (void) const;
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174 FloatDET determinant (octave_idx_type& info) const;
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175 FloatDET determinant (octave_idx_type& info, float& rcon,
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176 int calc_cond = 1) const;
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177 FloatDET determinant (MatrixType &mattype, octave_idx_type& info,
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178 float& rcon, int calc_cond = 1) const;
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179
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180 float rcond (void) const;
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181 float rcond (MatrixType &mattype) const;
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182
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183 private:
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184 // Upper triangular matrix solvers
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185 FloatMatrix utsolve (MatrixType &typ, const FloatMatrix& b,
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186 octave_idx_type& info,
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187 float& rcon, solve_singularity_handler sing_handler,
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188 bool calc_cond = false,
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189 blas_trans_type transt = blas_no_trans) const;
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190
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191 // Lower triangular matrix solvers
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192 FloatMatrix ltsolve (MatrixType &typ, const FloatMatrix& b,
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193 octave_idx_type& info,
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194 float& rcon, solve_singularity_handler sing_handler,
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195 bool calc_cond = false,
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196 blas_trans_type transt = blas_no_trans) const;
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197
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198 // Full matrix solvers (lu/cholesky)
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199 FloatMatrix fsolve (MatrixType &typ, const FloatMatrix& b,
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200 octave_idx_type& info,
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201 float& rcon, solve_singularity_handler sing_handler,
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202 bool calc_cond = false) const;
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203
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204 public:
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205 // Generic interface to solver with no probing of type
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206 FloatMatrix solve (MatrixType &typ, const FloatMatrix& b) const;
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207 FloatMatrix solve (MatrixType &typ, const FloatMatrix& b,
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208 octave_idx_type& info) const;
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209 FloatMatrix solve (MatrixType &typ, const FloatMatrix& b,
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210 octave_idx_type& info, float& rcon) const;
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211 FloatMatrix solve (MatrixType &typ, const FloatMatrix& b,
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212 octave_idx_type& info, float& rcon,
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213 solve_singularity_handler sing_handler,
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214 bool singular_fallback = true,
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215 blas_trans_type transt = blas_no_trans) const;
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216
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217 FloatComplexMatrix solve (MatrixType &typ, const FloatComplexMatrix& b) const;
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218 FloatComplexMatrix solve (MatrixType &typ, const FloatComplexMatrix& b,
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219 octave_idx_type& info) const;
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220 FloatComplexMatrix solve (MatrixType &typ, const FloatComplexMatrix& b,
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221 octave_idx_type& info, float& rcon) const;
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222 FloatComplexMatrix solve (MatrixType &typ, const FloatComplexMatrix& b,
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223 octave_idx_type& info, float& rcon,
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224 solve_singularity_handler sing_handler,
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225 bool singular_fallback = true,
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226 blas_trans_type transt = blas_no_trans) const;
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227
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228 FloatColumnVector solve (MatrixType &typ, const FloatColumnVector& b) const;
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229 FloatColumnVector solve (MatrixType &typ, const FloatColumnVector& b,
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230 octave_idx_type& info) const;
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231 FloatColumnVector solve (MatrixType &typ, const FloatColumnVector& b,
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232 octave_idx_type& info, float& rcon) const;
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233 FloatColumnVector solve (MatrixType &typ, const FloatColumnVector& b,
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234 octave_idx_type& info, float& rcon,
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235 solve_singularity_handler sing_handler,
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236 blas_trans_type transt = blas_no_trans) const;
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237
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238 FloatComplexColumnVector solve (MatrixType &typ,
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239 const FloatComplexColumnVector& b) const;
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240 FloatComplexColumnVector solve (MatrixType &typ,
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241 const FloatComplexColumnVector& b,
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242 octave_idx_type& info) const;
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243 FloatComplexColumnVector solve (MatrixType &typ,
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244 const FloatComplexColumnVector& b,
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245 octave_idx_type& info, float& rcon) const;
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246 FloatComplexColumnVector solve (MatrixType &typ,
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247 const FloatComplexColumnVector& b,
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248 octave_idx_type& info, float& rcon,
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249 solve_singularity_handler sing_handler,
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250 blas_trans_type transt = blas_no_trans) const;
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251
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252 // Generic interface to solver with probing of type
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253 FloatMatrix solve (const FloatMatrix& b) const;
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254 FloatMatrix solve (const FloatMatrix& b, octave_idx_type& info) const;
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255 FloatMatrix solve (const FloatMatrix& b, octave_idx_type& info,
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256 float& rcon) const;
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257 FloatMatrix solve (const FloatMatrix& b, octave_idx_type& info, float& rcon,
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258 solve_singularity_handler sing_handler,
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259 blas_trans_type transt = blas_no_trans) const;
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260
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261 FloatComplexMatrix solve (const FloatComplexMatrix& b) const;
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262 FloatComplexMatrix solve (const FloatComplexMatrix& b,
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263 octave_idx_type& info) const;
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264 FloatComplexMatrix solve (const FloatComplexMatrix& b, octave_idx_type& info,
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265 float& rcon) const;
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266 FloatComplexMatrix solve (const FloatComplexMatrix& b, octave_idx_type& info,
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267 float& rcon,
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268 solve_singularity_handler sing_handler,
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269 blas_trans_type transt = blas_no_trans) const;
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270
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271 FloatColumnVector solve (const FloatColumnVector& b) const;
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272 FloatColumnVector solve (const FloatColumnVector& b,
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273 octave_idx_type& info) const;
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274 FloatColumnVector solve (const FloatColumnVector& b, octave_idx_type& info,
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275 float& rcon) const;
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276 FloatColumnVector solve (const FloatColumnVector& b, octave_idx_type& info,
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277 float& rcon,
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278 solve_singularity_handler sing_handler,
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279 blas_trans_type transt = blas_no_trans) const;
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280
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281 FloatComplexColumnVector solve (const FloatComplexColumnVector& b) const;
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282 FloatComplexColumnVector solve (const FloatComplexColumnVector& b,
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283 octave_idx_type& info) const;
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284 FloatComplexColumnVector solve (const FloatComplexColumnVector& b,
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285 octave_idx_type& info,
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286 float& rcon) const;
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287 FloatComplexColumnVector solve (const FloatComplexColumnVector& b,
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288 octave_idx_type& info,
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289 float& rcon,
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290 solve_singularity_handler sing_handler,
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291 blas_trans_type transt = blas_no_trans) const;
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292
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293 // Singular solvers
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294 FloatMatrix lssolve (const FloatMatrix& b) const;
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295 FloatMatrix lssolve (const FloatMatrix& b, octave_idx_type& info) const;
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296 FloatMatrix lssolve (const FloatMatrix& b, octave_idx_type& info,
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297 octave_idx_type& rank) const;
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298 FloatMatrix lssolve (const FloatMatrix& b, octave_idx_type& info,
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299 octave_idx_type& rank, float& rcon) const;
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300
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301 FloatComplexMatrix lssolve (const FloatComplexMatrix& b) const;
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302 FloatComplexMatrix lssolve (const FloatComplexMatrix& b,
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303 octave_idx_type& info) const;
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304 FloatComplexMatrix lssolve (const FloatComplexMatrix& b,
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305 octave_idx_type& info,
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306 octave_idx_type& rank) const;
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307 FloatComplexMatrix lssolve (const FloatComplexMatrix& b,
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308 octave_idx_type& info, octave_idx_type& rank,
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309 float &rcon) const;
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310
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311 FloatColumnVector lssolve (const FloatColumnVector& b) const;
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312 FloatColumnVector lssolve (const FloatColumnVector& b,
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313 octave_idx_type& info) const;
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314 FloatColumnVector lssolve (const FloatColumnVector& b, octave_idx_type& info,
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315 octave_idx_type& rank) const;
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316 FloatColumnVector lssolve (const FloatColumnVector& b, octave_idx_type& info,
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317 octave_idx_type& rank, float& rcon) const;
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318
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319 FloatComplexColumnVector lssolve (const FloatComplexColumnVector& b) const;
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320 FloatComplexColumnVector lssolve (const FloatComplexColumnVector& b,
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321 octave_idx_type& info) const;
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322 FloatComplexColumnVector lssolve (const FloatComplexColumnVector& b,
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323 octave_idx_type& info,
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324 octave_idx_type& rank) const;
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325 FloatComplexColumnVector lssolve (const FloatComplexColumnVector& b,
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326 octave_idx_type& info,
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327 octave_idx_type& rank, float& rcon) const;
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328
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329 FloatMatrix& operator += (const FloatDiagMatrix& a);
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330 FloatMatrix& operator -= (const FloatDiagMatrix& a);
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331
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332 FloatMatrix cumprod (int dim = -1) const;
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333 FloatMatrix cumsum (int dim = -1) const;
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334 FloatMatrix prod (int dim = -1) const;
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335 FloatMatrix sum (int dim = -1) const;
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336 FloatMatrix sumsq (int dim = -1) const;
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337 FloatMatrix abs (void) const;
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338
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339 FloatMatrix diag (octave_idx_type k = 0) const;
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340
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341 FloatDiagMatrix diag (octave_idx_type m, octave_idx_type n) const;
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342
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343 FloatColumnVector row_min (void) const;
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344 FloatColumnVector row_max (void) const;
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345
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346 FloatColumnVector row_min (Array<octave_idx_type>& index) const;
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347 FloatColumnVector row_max (Array<octave_idx_type>& index) const;
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348
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349 FloatRowVector column_min (void) const;
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350 FloatRowVector column_max (void) const;
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351
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352 FloatRowVector column_min (Array<octave_idx_type>& index) const;
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353 FloatRowVector column_max (Array<octave_idx_type>& index) const;
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354
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355 // i/o
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356
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357 friend OCTAVE_API std::ostream& operator << (std::ostream& os,
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358 const FloatMatrix& a);
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359 friend OCTAVE_API std::istream& operator >> (std::istream& is,
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360 FloatMatrix& a);
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361 };
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362
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363 // Publish externally used friend functions.
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364
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365 extern OCTAVE_API FloatMatrix real (const FloatComplexMatrix& a);
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366 extern OCTAVE_API FloatMatrix imag (const FloatComplexMatrix& a);
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367
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368 // column vector by row vector -> matrix operations
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369
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370 extern OCTAVE_API FloatMatrix operator * (const FloatColumnVector& a,
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371 const FloatRowVector& b);
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372
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373 // Other functions.
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374
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375 extern OCTAVE_API FloatMatrix Givens (float, float);
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376
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377 extern OCTAVE_API FloatMatrix Sylvester (const FloatMatrix&, const FloatMatrix&,
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378 const FloatMatrix&);
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379
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380 extern OCTAVE_API FloatMatrix xgemm (const FloatMatrix& a, const FloatMatrix& b,
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381 blas_trans_type transa = blas_no_trans,
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382 blas_trans_type transb = blas_no_trans);
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383
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384 extern OCTAVE_API FloatMatrix operator * (const FloatMatrix& a,
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385 const FloatMatrix& b);
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386
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387 extern OCTAVE_API FloatMatrix min (float d, const FloatMatrix& m);
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388 extern OCTAVE_API FloatMatrix min (const FloatMatrix& m, float d);
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389 extern OCTAVE_API FloatMatrix min (const FloatMatrix& a, const FloatMatrix& b);
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390
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391 extern OCTAVE_API FloatMatrix max (float d, const FloatMatrix& m);
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392 extern OCTAVE_API FloatMatrix max (const FloatMatrix& m, float d);
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393 extern OCTAVE_API FloatMatrix max (const FloatMatrix& a, const FloatMatrix& b);
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394
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395 extern OCTAVE_API FloatMatrix linspace (const FloatColumnVector& x1,
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396 const FloatColumnVector& x2,
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397 octave_idx_type n);
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398
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399
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400 MS_CMP_OP_DECLS (FloatMatrix, float, OCTAVE_API)
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401 MS_BOOL_OP_DECLS (FloatMatrix, float, OCTAVE_API)
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402
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403 SM_CMP_OP_DECLS (float, FloatMatrix, OCTAVE_API)
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404 SM_BOOL_OP_DECLS (float, FloatMatrix, OCTAVE_API)
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405
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406 MM_CMP_OP_DECLS (FloatMatrix, FloatMatrix, OCTAVE_API)
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407 MM_BOOL_OP_DECLS (FloatMatrix, FloatMatrix, OCTAVE_API)
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408
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409 MARRAY_FORWARD_DEFS (MArray, FloatMatrix, float)
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410
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411 template <typename T>
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412 void read_int (std::istream& is, bool swap_bytes, T& val);
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413
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414 #endif