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annotate liboctave/array/fMatrix.h @ 18979:59975c3cea6b gui-release

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maint: Periodic merge of stable to gui-release.
author Rik <rik@octave.org>
date Mon, 02 Jun 2014 09:00:22 -0700
parents ebb3ef964372
children d0c73e23a505
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1 /*
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2
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3 Copyright (C) 1994-2013 John W. Eaton
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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 "MArray.h"
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27 #include "MDiagArray2.h"
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28 #include "MatrixType.h"
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29
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30 #include "mx-defs.h"
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31 #include "mx-op-decl.h"
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32 #include "DET.h"
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33
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34 class
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35 OCTAVE_API
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36 FloatMatrix : public MArray<float>
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37 {
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38 public:
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39
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40 typedef FloatColumnVector column_vector_type;
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41 typedef FloatRowVector row_vector_type;
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42
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43 typedef void (*solve_singularity_handler) (float rcon);
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44
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45 FloatMatrix (void) : MArray<float> () { }
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46
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47 FloatMatrix (octave_idx_type r, octave_idx_type c)
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48 : MArray<float> (dim_vector (r, c)) { }
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49
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50 FloatMatrix (octave_idx_type r, octave_idx_type c, float val)
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51 : MArray<float> (dim_vector (r, c), val) { }
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52
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53 FloatMatrix (const dim_vector& dv) : MArray<float> (dv.redim (2)) { }
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54
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55 FloatMatrix (const dim_vector& dv, float val)
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56 : MArray<float> (dv.redim (2), val) { }
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57
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58 FloatMatrix (const FloatMatrix& a) : MArray<float> (a) { }
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59
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60 template <class U>
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61 FloatMatrix (const MArray<U>& a) : MArray<float> (a.as_matrix ()) { }
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62
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63 template <class U>
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64 FloatMatrix (const Array<U>& a) : MArray<float> (a.as_matrix ()) { }
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65
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66 explicit FloatMatrix (const FloatRowVector& rv);
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67
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68 explicit FloatMatrix (const FloatColumnVector& cv);
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69
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70 explicit FloatMatrix (const FloatDiagMatrix& a);
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71
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72 explicit FloatMatrix (const PermMatrix& a);
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73
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74 explicit FloatMatrix (const boolMatrix& a);
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75
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76 explicit FloatMatrix (const charMatrix& a);
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77
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78
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79 FloatMatrix& operator = (const FloatMatrix& a)
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80 {
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81 MArray<float>::operator = (a);
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82 return *this;
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83 }
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84
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85 bool operator == (const FloatMatrix& a) const;
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86 bool operator != (const FloatMatrix& a) const;
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87
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88 bool is_symmetric (void) const;
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89
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90 // destructive insert/delete/reorder operations
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91
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92 FloatMatrix& insert (const FloatMatrix& a,
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93 octave_idx_type r, octave_idx_type c);
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94 FloatMatrix& insert (const FloatRowVector& a,
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95 octave_idx_type r, octave_idx_type c);
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96 FloatMatrix& insert (const FloatColumnVector& a,
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97 octave_idx_type r, octave_idx_type c);
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98 FloatMatrix& insert (const FloatDiagMatrix& a,
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99 octave_idx_type r, octave_idx_type c);
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100
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101 FloatMatrix& fill (float val);
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102 FloatMatrix& fill (float val, octave_idx_type r1, octave_idx_type c1,
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103 octave_idx_type r2, octave_idx_type c2);
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104
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105 FloatMatrix append (const FloatMatrix& a) const;
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106 FloatMatrix append (const FloatRowVector& a) const;
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107 FloatMatrix append (const FloatColumnVector& a) const;
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108 FloatMatrix append (const FloatDiagMatrix& a) const;
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109
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110 FloatMatrix stack (const FloatMatrix& a) const;
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111 FloatMatrix stack (const FloatRowVector& a) const;
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112 FloatMatrix stack (const FloatColumnVector& a) const;
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113 FloatMatrix stack (const FloatDiagMatrix& a) const;
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114
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115 friend OCTAVE_API FloatMatrix real (const FloatComplexMatrix& a);
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116 friend OCTAVE_API FloatMatrix imag (const FloatComplexMatrix& a);
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117
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118 friend class FloatComplexMatrix;
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119
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120 FloatMatrix transpose (void) const { return MArray<float>::transpose (); }
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121
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122 // resize is the destructive equivalent for this one
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123
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124 FloatMatrix extract (octave_idx_type r1, octave_idx_type c1,
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125 octave_idx_type r2, octave_idx_type c2) const;
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126
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127 FloatMatrix extract_n (octave_idx_type r1, octave_idx_type c1,
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128 octave_idx_type nr, octave_idx_type nc) const;
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129
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130 // extract row or column i.
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131
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132 FloatRowVector row (octave_idx_type i) const;
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133
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134 FloatColumnVector column (octave_idx_type i) const;
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135
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136 void resize (octave_idx_type nr, octave_idx_type nc, float rfv = 0)
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137 {
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138 MArray<float>::resize (dim_vector (nr, nc), rfv);
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139 }
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140
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141 private:
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142 FloatMatrix tinverse (MatrixType &mattype, octave_idx_type& info,
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143 float& rcon, int force, int calc_cond) const;
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144
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145 FloatMatrix finverse (MatrixType &mattype, octave_idx_type& info,
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146 float& rcon, int force, int calc_cond) const;
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147
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148 public:
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149 FloatMatrix inverse (void) const;
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150 FloatMatrix inverse (octave_idx_type& info) const;
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151 FloatMatrix inverse (octave_idx_type& info, float& rcon, int force = 0,
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152 int calc_cond = 1) const;
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153
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154 FloatMatrix inverse (MatrixType &mattype) const;
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155 FloatMatrix inverse (MatrixType &mattype, octave_idx_type& info) const;
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156 FloatMatrix inverse (MatrixType &mattype, octave_idx_type& info, float& rcon,
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157 int force = 0, int calc_cond = 1) const;
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158
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159 FloatMatrix pseudo_inverse (float tol = 0.0) const;
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160
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161 FloatComplexMatrix fourier (void) const;
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162 FloatComplexMatrix ifourier (void) const;
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163
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164 FloatComplexMatrix fourier2d (void) const;
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165 FloatComplexMatrix ifourier2d (void) const;
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166
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167 FloatDET determinant (void) const;
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168 FloatDET determinant (octave_idx_type& info) const;
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169 FloatDET determinant (octave_idx_type& info, float& rcon,
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170 int calc_cond = 1) const;
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171 FloatDET determinant (MatrixType &mattype, octave_idx_type& info,
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172 float& rcon, int calc_cond = 1) const;
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173
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174 float rcond (void) const;
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175 float rcond (MatrixType &mattype) const;
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176
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177 private:
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178 // Upper triangular matrix solvers
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179 FloatMatrix utsolve (MatrixType &typ, const FloatMatrix& b,
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180 octave_idx_type& info,
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181 float& rcon, solve_singularity_handler sing_handler,
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182 bool calc_cond = false,
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183 blas_trans_type transt = blas_no_trans) const;
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184
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185 // Lower triangular matrix solvers
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186 FloatMatrix ltsolve (MatrixType &typ, const FloatMatrix& b,
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187 octave_idx_type& info,
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188 float& rcon, solve_singularity_handler sing_handler,
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189 bool calc_cond = false,
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190 blas_trans_type transt = blas_no_trans) const;
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191
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192 // Full matrix solvers (lu/cholesky)
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193 FloatMatrix fsolve (MatrixType &typ, const FloatMatrix& b,
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194 octave_idx_type& info,
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195 float& rcon, solve_singularity_handler sing_handler,
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196 bool calc_cond = false) const;
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197
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198 public:
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199 // Generic interface to solver with no probing of type
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200 FloatMatrix solve (MatrixType &typ, const FloatMatrix& b) const;
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201 FloatMatrix solve (MatrixType &typ, const FloatMatrix& b,
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202 octave_idx_type& info) const;
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203 FloatMatrix solve (MatrixType &typ, const FloatMatrix& b,
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204 octave_idx_type& info, float& rcon) const;
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205 FloatMatrix solve (MatrixType &typ, const FloatMatrix& b,
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206 octave_idx_type& info, float& rcon,
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207 solve_singularity_handler sing_handler,
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208 bool singular_fallback = true,
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209 blas_trans_type transt = blas_no_trans) const;
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210
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211 FloatComplexMatrix solve (MatrixType &typ, const FloatComplexMatrix& b) const;
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212 FloatComplexMatrix solve (MatrixType &typ, const FloatComplexMatrix& b,
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213 octave_idx_type& info) const;
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214 FloatComplexMatrix solve (MatrixType &typ, const FloatComplexMatrix& b,
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215 octave_idx_type& info, float& rcon) const;
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216 FloatComplexMatrix solve (MatrixType &typ, const FloatComplexMatrix& b,
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217 octave_idx_type& info, float& rcon,
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218 solve_singularity_handler sing_handler,
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219 bool singular_fallback = true,
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220 blas_trans_type transt = blas_no_trans) const;
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221
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222 FloatColumnVector solve (MatrixType &typ, const FloatColumnVector& b) const;
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223 FloatColumnVector solve (MatrixType &typ, const FloatColumnVector& b,
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224 octave_idx_type& info) const;
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225 FloatColumnVector solve (MatrixType &typ, const FloatColumnVector& b,
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226 octave_idx_type& info, float& rcon) const;
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227 FloatColumnVector solve (MatrixType &typ, const FloatColumnVector& b,
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228 octave_idx_type& info, float& rcon,
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229 solve_singularity_handler sing_handler,
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230 blas_trans_type transt = blas_no_trans) const;
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231
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232 FloatComplexColumnVector solve (MatrixType &typ,
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233 const FloatComplexColumnVector& b) const;
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234 FloatComplexColumnVector solve (MatrixType &typ,
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235 const FloatComplexColumnVector& b,
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236 octave_idx_type& info) const;
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237 FloatComplexColumnVector solve (MatrixType &typ,
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238 const FloatComplexColumnVector& b,
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239 octave_idx_type& info, float& rcon) 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, float& rcon,
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243 solve_singularity_handler sing_handler,
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244 blas_trans_type transt = blas_no_trans) const;
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245
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246 // Generic interface to solver with probing of type
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247 FloatMatrix solve (const FloatMatrix& b) const;
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248 FloatMatrix solve (const FloatMatrix& b, octave_idx_type& info) const;
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249 FloatMatrix solve (const FloatMatrix& b, octave_idx_type& info,
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250 float& rcon) const;
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251 FloatMatrix solve (const FloatMatrix& b, octave_idx_type& info, float& rcon,
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252 solve_singularity_handler sing_handler,
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253 blas_trans_type transt = blas_no_trans) const;
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254
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255 FloatComplexMatrix solve (const FloatComplexMatrix& b) const;
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256 FloatComplexMatrix solve (const FloatComplexMatrix& b,
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257 octave_idx_type& info) const;
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258 FloatComplexMatrix solve (const FloatComplexMatrix& b, octave_idx_type& info,
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259 float& rcon) const;
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260 FloatComplexMatrix solve (const FloatComplexMatrix& b, octave_idx_type& info,
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261 float& rcon,
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262 solve_singularity_handler sing_handler,
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263 blas_trans_type transt = blas_no_trans) const;
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264
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265 FloatColumnVector solve (const FloatColumnVector& b) const;
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266 FloatColumnVector solve (const FloatColumnVector& b,
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267 octave_idx_type& info) const;
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268 FloatColumnVector solve (const FloatColumnVector& b, octave_idx_type& info,
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269 float& rcon) const;
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270 FloatColumnVector solve (const FloatColumnVector& b, octave_idx_type& info,
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271 float& rcon,
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272 solve_singularity_handler sing_handler,
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273 blas_trans_type transt = blas_no_trans) const;
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274
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275 FloatComplexColumnVector solve (const FloatComplexColumnVector& b) const;
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276 FloatComplexColumnVector solve (const FloatComplexColumnVector& b,
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277 octave_idx_type& info) const;
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278 FloatComplexColumnVector solve (const FloatComplexColumnVector& b,
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279 octave_idx_type& info,
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280 float& rcon) const;
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281 FloatComplexColumnVector solve (const FloatComplexColumnVector& b,
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282 octave_idx_type& info,
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283 float& rcon,
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284 solve_singularity_handler sing_handler,
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285 blas_trans_type transt = blas_no_trans) const;
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286
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287 // Singular solvers
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288 FloatMatrix lssolve (const FloatMatrix& b) const;
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289 FloatMatrix lssolve (const FloatMatrix& b, octave_idx_type& info) const;
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290 FloatMatrix lssolve (const FloatMatrix& b, octave_idx_type& info,
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291 octave_idx_type& rank) const;
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292 FloatMatrix lssolve (const FloatMatrix& b, octave_idx_type& info,
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293 octave_idx_type& rank, float& rcon) const;
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294
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295 FloatComplexMatrix lssolve (const FloatComplexMatrix& b) const;
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296 FloatComplexMatrix lssolve (const FloatComplexMatrix& b,
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297 octave_idx_type& info) const;
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298 FloatComplexMatrix lssolve (const FloatComplexMatrix& b,
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299 octave_idx_type& info,
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300 octave_idx_type& rank) const;
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301 FloatComplexMatrix lssolve (const FloatComplexMatrix& b,
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302 octave_idx_type& info, octave_idx_type& rank,
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303 float &rcon) const;
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304
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305 FloatColumnVector lssolve (const FloatColumnVector& b) const;
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306 FloatColumnVector lssolve (const FloatColumnVector& b,
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307 octave_idx_type& info) const;
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308 FloatColumnVector lssolve (const FloatColumnVector& b, octave_idx_type& info,
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309 octave_idx_type& rank) const;
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310 FloatColumnVector lssolve (const FloatColumnVector& b, octave_idx_type& info,
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311 octave_idx_type& rank, float& rcon) const;
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312
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313 FloatComplexColumnVector lssolve (const FloatComplexColumnVector& b) const;
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314 FloatComplexColumnVector lssolve (const FloatComplexColumnVector& b,
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315 octave_idx_type& info) const;
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316 FloatComplexColumnVector lssolve (const FloatComplexColumnVector& b,
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317 octave_idx_type& info,
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318 octave_idx_type& rank) const;
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319 FloatComplexColumnVector lssolve (const FloatComplexColumnVector& b,
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320 octave_idx_type& info,
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321 octave_idx_type& rank, float& rcon) const;
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322
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323 FloatMatrix& operator += (const FloatDiagMatrix& a);
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324 FloatMatrix& operator -= (const FloatDiagMatrix& a);
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325
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326 // unary operations
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327
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328 boolMatrix operator ! (void) const;
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329
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330 // other operations
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331
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332 bool any_element_is_negative (bool = false) const;
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333 bool any_element_is_positive (bool = false) const;
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334 bool any_element_is_nan (void) const;
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335 bool any_element_is_inf_or_nan (void) const;
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336 bool any_element_not_one_or_zero (void) const;
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337 bool all_elements_are_int_or_inf_or_nan (void) const;
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338 bool all_integers (float& max_val, float& min_val) const;
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339 bool too_large_for_float (void) const;
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340
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341 boolMatrix all (int dim = -1) const;
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342 boolMatrix any (int dim = -1) const;
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343
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344 FloatMatrix cumprod (int dim = -1) const;
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345 FloatMatrix cumsum (int dim = -1) const;
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346 FloatMatrix prod (int dim = -1) const;
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347 FloatMatrix sum (int dim = -1) const;
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348 FloatMatrix sumsq (int dim = -1) const;
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349 FloatMatrix abs (void) const;
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350
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351 FloatMatrix diag (octave_idx_type k = 0) const;
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352
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353 FloatDiagMatrix diag (octave_idx_type m, octave_idx_type n) const;
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354
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355 FloatColumnVector row_min (void) const;
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356 FloatColumnVector row_max (void) const;
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357
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358 FloatColumnVector row_min (Array<octave_idx_type>& index) const;
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359 FloatColumnVector row_max (Array<octave_idx_type>& index) const;
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360
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361 FloatRowVector column_min (void) const;
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362 FloatRowVector column_max (void) const;
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363
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364 FloatRowVector column_min (Array<octave_idx_type>& index) const;
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365 FloatRowVector column_max (Array<octave_idx_type>& index) const;
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366
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367 // i/o
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368
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369 friend OCTAVE_API std::ostream& operator << (std::ostream& os,
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370 const FloatMatrix& a);
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371 friend OCTAVE_API std::istream& operator >> (std::istream& is,
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372 FloatMatrix& a);
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373 };
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374
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375 // Publish externally used friend functions.
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376
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377 extern OCTAVE_API FloatMatrix real (const FloatComplexMatrix& a);
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378 extern OCTAVE_API FloatMatrix imag (const FloatComplexMatrix& a);
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379
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380 // column vector by row vector -> matrix operations
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381
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382 extern OCTAVE_API FloatMatrix operator * (const FloatColumnVector& a,
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383 const FloatRowVector& b);
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384
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385 // Other functions.
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386
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387 extern OCTAVE_API FloatMatrix Givens (float, float);
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388
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389 extern OCTAVE_API FloatMatrix Sylvester (const FloatMatrix&, const FloatMatrix&,
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390 const FloatMatrix&);
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391
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392 extern OCTAVE_API FloatMatrix xgemm (const FloatMatrix& a, const FloatMatrix& b,
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393 blas_trans_type transa = blas_no_trans,
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394 blas_trans_type transb = blas_no_trans);
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395
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396 extern OCTAVE_API FloatMatrix operator * (const FloatMatrix& a,
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397 const FloatMatrix& b);
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398
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399 extern OCTAVE_API FloatMatrix min (float d, const FloatMatrix& m);
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400 extern OCTAVE_API FloatMatrix min (const FloatMatrix& m, float d);
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401 extern OCTAVE_API FloatMatrix min (const FloatMatrix& a, const FloatMatrix& b);
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402
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403 extern OCTAVE_API FloatMatrix max (float d, const FloatMatrix& m);
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404 extern OCTAVE_API FloatMatrix max (const FloatMatrix& m, float d);
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405 extern OCTAVE_API FloatMatrix max (const FloatMatrix& a, const FloatMatrix& b);
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406
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407 extern OCTAVE_API FloatMatrix linspace (const FloatColumnVector& x1,
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408 const FloatColumnVector& x2,
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409 octave_idx_type n);
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410
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411
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412 MS_CMP_OP_DECLS (FloatMatrix, float, OCTAVE_API)
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413 MS_BOOL_OP_DECLS (FloatMatrix, float, OCTAVE_API)
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414
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415 SM_CMP_OP_DECLS (float, FloatMatrix, OCTAVE_API)
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416 SM_BOOL_OP_DECLS (float, FloatMatrix, OCTAVE_API)
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417
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418 MM_CMP_OP_DECLS (FloatMatrix, FloatMatrix, OCTAVE_API)
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419 MM_BOOL_OP_DECLS (FloatMatrix, FloatMatrix, OCTAVE_API)
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420
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421 MARRAY_FORWARD_DEFS (MArray, FloatMatrix, float)
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422
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423 template <class T>
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424 void read_int (std::istream& is, bool swap_bytes, T& val);
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425
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426 #endif