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annotate liboctave/array/fMatrix.h @ 19977:32d9c8b904bc

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* libgui/languages/*.ts: Update of translations with some button texts from qt
author Torsten <ttl@justmail.de>
date Thu, 19 Feb 2015 22:03:53 +0100
parents 4197fc428c7d
children
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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 "fNDArray.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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30
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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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34
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35 class
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36 OCTAVE_API
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37 FloatMatrix : public FloatNDArray
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38 {
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39 public:
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40
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41 typedef FloatColumnVector column_vector_type;
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42 typedef FloatRowVector row_vector_type;
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43
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44 typedef void (*solve_singularity_handler) (float rcon);
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45
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46 FloatMatrix (void) : FloatNDArray () { }
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47
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48 FloatMatrix (octave_idx_type r, octave_idx_type c)
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49 : FloatNDArray (dim_vector (r, c)) { }
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50
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51 FloatMatrix (octave_idx_type r, octave_idx_type c, float val)
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52 : FloatNDArray (dim_vector (r, c), val) { }
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53
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54 FloatMatrix (const dim_vector& dv) : FloatNDArray (dv.redim (2)) { }
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55
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56 FloatMatrix (const dim_vector& dv, float val)
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57 : FloatNDArray (dv.redim (2), val) { }
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58
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59 FloatMatrix (const FloatMatrix& a) : FloatNDArray (a) { }
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60
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61 template <class U>
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62 FloatMatrix (const MArray<U>& a) : FloatNDArray (a.as_matrix ()) { }
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63
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64 template <class U>
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65 FloatMatrix (const Array<U>& a) : FloatNDArray (a.as_matrix ()) { }
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66
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67 explicit FloatMatrix (const FloatRowVector& rv);
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68
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69 explicit FloatMatrix (const FloatColumnVector& cv);
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70
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71 explicit FloatMatrix (const FloatDiagMatrix& a);
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72
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73 explicit FloatMatrix (const MDiagArray2<float>& a);
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74
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75 explicit FloatMatrix (const DiagArray2<float>& a);
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76
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77 explicit FloatMatrix (const PermMatrix& a);
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78
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79 explicit FloatMatrix (const boolMatrix& a);
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80
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81 explicit FloatMatrix (const charMatrix& a);
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82
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83 bool operator == (const FloatMatrix& a) const;
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84 bool operator != (const FloatMatrix& a) const;
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85
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86 bool is_symmetric (void) const;
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87
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88 // destructive insert/delete/reorder operations
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89
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90 FloatMatrix& insert (const FloatMatrix& a,
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91 octave_idx_type r, octave_idx_type c);
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92 FloatMatrix& insert (const FloatRowVector& a,
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93 octave_idx_type r, octave_idx_type c);
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94 FloatMatrix& insert (const FloatColumnVector& a,
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95 octave_idx_type r, octave_idx_type c);
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96 FloatMatrix& insert (const FloatDiagMatrix& a,
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97 octave_idx_type r, octave_idx_type c);
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98
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99 FloatMatrix& fill (float val);
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100 FloatMatrix& fill (float val, octave_idx_type r1, octave_idx_type c1,
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101 octave_idx_type r2, octave_idx_type c2);
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102
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103 FloatMatrix append (const FloatMatrix& a) const;
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104 FloatMatrix append (const FloatRowVector& a) const;
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105 FloatMatrix append (const FloatColumnVector& a) const;
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106 FloatMatrix append (const FloatDiagMatrix& a) const;
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107
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108 FloatMatrix stack (const FloatMatrix& a) const;
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109 FloatMatrix stack (const FloatRowVector& a) const;
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110 FloatMatrix stack (const FloatColumnVector& a) const;
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111 FloatMatrix stack (const FloatDiagMatrix& a) const;
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112
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113 friend OCTAVE_API FloatMatrix real (const FloatComplexMatrix& a);
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114 friend OCTAVE_API FloatMatrix imag (const FloatComplexMatrix& a);
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115
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116 friend class FloatComplexMatrix;
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117
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118 FloatMatrix transpose (void) const { return MArray<float>::transpose (); }
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119
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120 // resize is the destructive equivalent for this one
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121
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122 FloatMatrix extract (octave_idx_type r1, octave_idx_type c1,
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123 octave_idx_type r2, octave_idx_type c2) const;
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124
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125 FloatMatrix extract_n (octave_idx_type r1, octave_idx_type c1,
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126 octave_idx_type nr, octave_idx_type nc) const;
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127
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128 // extract row or column i.
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129
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130 FloatRowVector row (octave_idx_type i) const;
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131
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132 FloatColumnVector column (octave_idx_type i) const;
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133
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134 void resize (octave_idx_type nr, octave_idx_type nc, float rfv = 0)
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135 {
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136 MArray<float>::resize (dim_vector (nr, nc), rfv);
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137 }
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138
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139 private:
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140 FloatMatrix tinverse (MatrixType &mattype, octave_idx_type& info,
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141 float& rcon, int force, int calc_cond) const;
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142
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143 FloatMatrix finverse (MatrixType &mattype, octave_idx_type& info,
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144 float& rcon, int force, int calc_cond) const;
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145
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146 public:
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147 FloatMatrix inverse (void) const;
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148 FloatMatrix inverse (octave_idx_type& info) const;
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149 FloatMatrix inverse (octave_idx_type& info, float& rcon, int force = 0,
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150 int calc_cond = 1) const;
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151
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152 FloatMatrix inverse (MatrixType &mattype) const;
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153 FloatMatrix inverse (MatrixType &mattype, octave_idx_type& info) const;
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154 FloatMatrix inverse (MatrixType &mattype, octave_idx_type& info, float& rcon,
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155 int force = 0, int calc_cond = 1) const;
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156
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157 FloatMatrix pseudo_inverse (float tol = 0.0) const;
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158
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159 FloatComplexMatrix fourier (void) const;
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160 FloatComplexMatrix ifourier (void) const;
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161
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162 FloatComplexMatrix fourier2d (void) const;
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163 FloatComplexMatrix ifourier2d (void) const;
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164
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165 FloatDET determinant (void) const;
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166 FloatDET determinant (octave_idx_type& info) const;
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167 FloatDET determinant (octave_idx_type& info, float& rcon,
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168 int calc_cond = 1) const;
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169 FloatDET determinant (MatrixType &mattype, octave_idx_type& info,
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170 float& rcon, int calc_cond = 1) const;
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171
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172 float rcond (void) const;
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173 float rcond (MatrixType &mattype) const;
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174
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175 private:
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176 // Upper triangular matrix solvers
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177 FloatMatrix utsolve (MatrixType &typ, const FloatMatrix& b,
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178 octave_idx_type& info,
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179 float& rcon, solve_singularity_handler sing_handler,
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180 bool calc_cond = false,
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181 blas_trans_type transt = blas_no_trans) const;
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182
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183 // Lower triangular matrix solvers
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184 FloatMatrix ltsolve (MatrixType &typ, const FloatMatrix& b,
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185 octave_idx_type& info,
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186 float& rcon, solve_singularity_handler sing_handler,
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187 bool calc_cond = false,
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188 blas_trans_type transt = blas_no_trans) const;
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189
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190 // Full matrix solvers (lu/cholesky)
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191 FloatMatrix fsolve (MatrixType &typ, const FloatMatrix& b,
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192 octave_idx_type& info,
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193 float& rcon, solve_singularity_handler sing_handler,
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194 bool calc_cond = false) const;
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195
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196 public:
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197 // Generic interface to solver with no probing of type
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198 FloatMatrix solve (MatrixType &typ, const FloatMatrix& b) const;
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199 FloatMatrix solve (MatrixType &typ, const FloatMatrix& b,
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200 octave_idx_type& info) const;
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201 FloatMatrix solve (MatrixType &typ, const FloatMatrix& b,
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202 octave_idx_type& info, float& rcon) const;
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203 FloatMatrix solve (MatrixType &typ, const FloatMatrix& b,
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204 octave_idx_type& info, float& rcon,
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205 solve_singularity_handler sing_handler,
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206 bool singular_fallback = true,
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207 blas_trans_type transt = blas_no_trans) const;
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208
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209 FloatComplexMatrix solve (MatrixType &typ, const FloatComplexMatrix& b) const;
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210 FloatComplexMatrix solve (MatrixType &typ, const FloatComplexMatrix& b,
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211 octave_idx_type& info) const;
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212 FloatComplexMatrix solve (MatrixType &typ, const FloatComplexMatrix& b,
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213 octave_idx_type& info, float& rcon) const;
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214 FloatComplexMatrix solve (MatrixType &typ, const FloatComplexMatrix& b,
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215 octave_idx_type& info, float& rcon,
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216 solve_singularity_handler sing_handler,
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217 bool singular_fallback = true,
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218 blas_trans_type transt = blas_no_trans) const;
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219
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220 FloatColumnVector solve (MatrixType &typ, const FloatColumnVector& b) const;
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221 FloatColumnVector solve (MatrixType &typ, const FloatColumnVector& b,
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222 octave_idx_type& info) const;
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223 FloatColumnVector solve (MatrixType &typ, const FloatColumnVector& b,
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224 octave_idx_type& info, float& rcon) const;
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225 FloatColumnVector solve (MatrixType &typ, const FloatColumnVector& b,
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226 octave_idx_type& info, float& rcon,
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227 solve_singularity_handler sing_handler,
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228 blas_trans_type transt = blas_no_trans) const;
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229
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230 FloatComplexColumnVector solve (MatrixType &typ,
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231 const FloatComplexColumnVector& b) const;
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232 FloatComplexColumnVector solve (MatrixType &typ,
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233 const FloatComplexColumnVector& b,
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234 octave_idx_type& info) const;
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235 FloatComplexColumnVector solve (MatrixType &typ,
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236 const FloatComplexColumnVector& b,
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237 octave_idx_type& info, float& rcon) const;
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238 FloatComplexColumnVector solve (MatrixType &typ,
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239 const FloatComplexColumnVector& b,
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240 octave_idx_type& info, float& rcon,
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241 solve_singularity_handler sing_handler,
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242 blas_trans_type transt = blas_no_trans) const;
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243
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244 // Generic interface to solver with probing of type
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245 FloatMatrix solve (const FloatMatrix& b) const;
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246 FloatMatrix solve (const FloatMatrix& b, octave_idx_type& info) const;
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247 FloatMatrix solve (const FloatMatrix& b, octave_idx_type& info,
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248 float& rcon) const;
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249 FloatMatrix solve (const FloatMatrix& b, octave_idx_type& info, float& rcon,
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250 solve_singularity_handler sing_handler,
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251 blas_trans_type transt = blas_no_trans) const;
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252
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253 FloatComplexMatrix solve (const FloatComplexMatrix& b) const;
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254 FloatComplexMatrix solve (const FloatComplexMatrix& b,
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255 octave_idx_type& info) const;
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256 FloatComplexMatrix solve (const FloatComplexMatrix& b, octave_idx_type& info,
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257 float& rcon) const;
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258 FloatComplexMatrix solve (const FloatComplexMatrix& b, octave_idx_type& info,
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259 float& rcon,
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260 solve_singularity_handler sing_handler,
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261 blas_trans_type transt = blas_no_trans) const;
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262
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263 FloatColumnVector solve (const FloatColumnVector& b) const;
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264 FloatColumnVector solve (const FloatColumnVector& b,
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265 octave_idx_type& info) const;
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266 FloatColumnVector solve (const FloatColumnVector& b, octave_idx_type& info,
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267 float& rcon) const;
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268 FloatColumnVector solve (const FloatColumnVector& b, octave_idx_type& info,
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269 float& rcon,
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270 solve_singularity_handler sing_handler,
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271 blas_trans_type transt = blas_no_trans) const;
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272
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273 FloatComplexColumnVector solve (const FloatComplexColumnVector& b) const;
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274 FloatComplexColumnVector solve (const FloatComplexColumnVector& b,
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275 octave_idx_type& info) const;
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276 FloatComplexColumnVector solve (const FloatComplexColumnVector& b,
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277 octave_idx_type& info,
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278 float& rcon) const;
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279 FloatComplexColumnVector solve (const FloatComplexColumnVector& b,
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280 octave_idx_type& info,
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281 float& rcon,
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282 solve_singularity_handler sing_handler,
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283 blas_trans_type transt = blas_no_trans) const;
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284
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285 // Singular solvers
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286 FloatMatrix lssolve (const FloatMatrix& b) const;
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287 FloatMatrix lssolve (const FloatMatrix& b, octave_idx_type& info) const;
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288 FloatMatrix lssolve (const FloatMatrix& b, octave_idx_type& info,
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289 octave_idx_type& rank) const;
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290 FloatMatrix lssolve (const FloatMatrix& b, octave_idx_type& info,
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291 octave_idx_type& rank, float& rcon) const;
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292
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293 FloatComplexMatrix lssolve (const FloatComplexMatrix& b) const;
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294 FloatComplexMatrix lssolve (const FloatComplexMatrix& b,
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295 octave_idx_type& info) const;
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296 FloatComplexMatrix lssolve (const FloatComplexMatrix& b,
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297 octave_idx_type& info,
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298 octave_idx_type& rank) const;
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299 FloatComplexMatrix lssolve (const FloatComplexMatrix& b,
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300 octave_idx_type& info, octave_idx_type& rank,
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301 float &rcon) const;
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302
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303 FloatColumnVector lssolve (const FloatColumnVector& b) const;
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304 FloatColumnVector lssolve (const FloatColumnVector& b,
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305 octave_idx_type& info) const;
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306 FloatColumnVector lssolve (const FloatColumnVector& b, octave_idx_type& info,
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307 octave_idx_type& rank) const;
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308 FloatColumnVector lssolve (const FloatColumnVector& b, octave_idx_type& info,
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309 octave_idx_type& rank, float& rcon) const;
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310
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311 FloatComplexColumnVector lssolve (const FloatComplexColumnVector& b) const;
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312 FloatComplexColumnVector lssolve (const FloatComplexColumnVector& b,
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313 octave_idx_type& info) const;
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314 FloatComplexColumnVector lssolve (const FloatComplexColumnVector& b,
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315 octave_idx_type& info,
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316 octave_idx_type& rank) const;
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317 FloatComplexColumnVector lssolve (const FloatComplexColumnVector& b,
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318 octave_idx_type& info,
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319 octave_idx_type& rank, float& rcon) const;
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320
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321 FloatMatrix& operator += (const FloatDiagMatrix& a);
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322 FloatMatrix& operator -= (const FloatDiagMatrix& a);
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323
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324 FloatMatrix cumprod (int dim = -1) const;
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325 FloatMatrix cumsum (int dim = -1) const;
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326 FloatMatrix prod (int dim = -1) const;
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327 FloatMatrix sum (int dim = -1) const;
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328 FloatMatrix sumsq (int dim = -1) const;
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329 FloatMatrix abs (void) const;
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330
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331 FloatMatrix diag (octave_idx_type k = 0) const;
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332
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333 FloatDiagMatrix diag (octave_idx_type m, octave_idx_type n) const;
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334
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335 FloatColumnVector row_min (void) const;
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336 FloatColumnVector row_max (void) const;
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337
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338 FloatColumnVector row_min (Array<octave_idx_type>& index) const;
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339 FloatColumnVector row_max (Array<octave_idx_type>& index) const;
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340
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341 FloatRowVector column_min (void) const;
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342 FloatRowVector column_max (void) const;
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343
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344 FloatRowVector column_min (Array<octave_idx_type>& index) const;
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345 FloatRowVector column_max (Array<octave_idx_type>& index) const;
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346
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347 // i/o
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348
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349 friend OCTAVE_API std::ostream& operator << (std::ostream& os,
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350 const FloatMatrix& a);
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351 friend OCTAVE_API std::istream& operator >> (std::istream& is,
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352 FloatMatrix& a);
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353 };
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354
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355 // Publish externally used friend functions.
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356
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357 extern OCTAVE_API FloatMatrix real (const FloatComplexMatrix& a);
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358 extern OCTAVE_API FloatMatrix imag (const FloatComplexMatrix& a);
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359
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360 // column vector by row vector -> matrix operations
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361
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362 extern OCTAVE_API FloatMatrix operator * (const FloatColumnVector& a,
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363 const FloatRowVector& b);
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364
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365 // Other functions.
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366
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367 extern OCTAVE_API FloatMatrix Givens (float, float);
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368
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369 extern OCTAVE_API FloatMatrix Sylvester (const FloatMatrix&, const FloatMatrix&,
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370 const FloatMatrix&);
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371
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372 extern OCTAVE_API FloatMatrix xgemm (const FloatMatrix& a, const FloatMatrix& b,
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373 blas_trans_type transa = blas_no_trans,
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374 blas_trans_type transb = blas_no_trans);
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375
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376 extern OCTAVE_API FloatMatrix operator * (const FloatMatrix& a,
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377 const FloatMatrix& b);
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378
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379 extern OCTAVE_API FloatMatrix min (float d, const FloatMatrix& m);
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380 extern OCTAVE_API FloatMatrix min (const FloatMatrix& m, float d);
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381 extern OCTAVE_API FloatMatrix min (const FloatMatrix& a, const FloatMatrix& b);
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382
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383 extern OCTAVE_API FloatMatrix max (float d, const FloatMatrix& m);
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384 extern OCTAVE_API FloatMatrix max (const FloatMatrix& m, float d);
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385 extern OCTAVE_API FloatMatrix max (const FloatMatrix& a, const FloatMatrix& b);
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386
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387 extern OCTAVE_API FloatMatrix linspace (const FloatColumnVector& x1,
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388 const FloatColumnVector& x2,
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389 octave_idx_type n);
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390
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391
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392 MS_CMP_OP_DECLS (FloatMatrix, float, OCTAVE_API)
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393 MS_BOOL_OP_DECLS (FloatMatrix, float, OCTAVE_API)
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394
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395 SM_CMP_OP_DECLS (float, FloatMatrix, OCTAVE_API)
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396 SM_BOOL_OP_DECLS (float, FloatMatrix, OCTAVE_API)
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397
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398 MM_CMP_OP_DECLS (FloatMatrix, FloatMatrix, OCTAVE_API)
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399 MM_BOOL_OP_DECLS (FloatMatrix, FloatMatrix, OCTAVE_API)
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400
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401 MARRAY_FORWARD_DEFS (MArray, FloatMatrix, float)
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402
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403 template <class T>
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404 void read_int (std::istream& is, bool swap_bytes, T& val);
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405
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406 #endif