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annotate liboctave/fMatrix.h @ 11542:695141f1c05c ss-3-3-55

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snapshot 3.3.55
author John W. Eaton <jwe@octave.org>
date Sat, 15 Jan 2011 04:53:04 -0500
parents fd0a3ac60b0e
children 57632dea2446
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1 /*
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2
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3 Copyright (C) 1994-2011 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_FloatMatrix_int_h)
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24 #define octave_FloatMatrix_int_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) : MArray<float> (r, c) { }
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48
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49 FloatMatrix (octave_idx_type r, octave_idx_type c, float val) : MArray<float> (r, c, val) { }
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50
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51 FloatMatrix (const dim_vector& dv) : MArray<float> (dv.redim (2)) { }
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52
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53 FloatMatrix (const dim_vector& dv, float val) : MArray<float> (dv.redim (2), val) { }
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54
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55 FloatMatrix (const FloatMatrix& a) : MArray<float> (a) { }
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56
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57 template <class U>
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58 FloatMatrix (const MArray<U>& a) : MArray<float> (a.as_matrix ()) { }
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59
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60 template <class U>
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61 FloatMatrix (const Array<U>& a) : MArray<float> (a.as_matrix ()) { }
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62
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63 explicit FloatMatrix (const FloatRowVector& rv);
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64
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65 explicit FloatMatrix (const FloatColumnVector& cv);
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66
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67 explicit FloatMatrix (const FloatDiagMatrix& a);
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68
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69 explicit FloatMatrix (const PermMatrix& a);
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70
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71 explicit FloatMatrix (const boolMatrix& a);
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72
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73 explicit FloatMatrix (const charMatrix& a);
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74
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75
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76 FloatMatrix& operator = (const FloatMatrix& a)
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77 {
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78 MArray<float>::operator = (a);
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79 return *this;
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80 }
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81
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82 bool operator == (const FloatMatrix& a) const;
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83 bool operator != (const FloatMatrix& a) const;
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84
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85 bool is_symmetric (void) const;
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86
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87 // destructive insert/delete/reorder operations
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88
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89 FloatMatrix& insert (const FloatMatrix& a, octave_idx_type r, octave_idx_type c);
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90 FloatMatrix& insert (const FloatRowVector& a, octave_idx_type r, octave_idx_type c);
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91 FloatMatrix& insert (const FloatColumnVector& a, octave_idx_type r, octave_idx_type c);
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92 FloatMatrix& insert (const FloatDiagMatrix& a, octave_idx_type r, octave_idx_type c);
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93
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94 FloatMatrix& fill (float val);
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95 FloatMatrix& fill (float val, octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2);
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96
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97 FloatMatrix append (const FloatMatrix& a) const;
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98 FloatMatrix append (const FloatRowVector& a) const;
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99 FloatMatrix append (const FloatColumnVector& a) const;
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100 FloatMatrix append (const FloatDiagMatrix& a) const;
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101
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102 FloatMatrix stack (const FloatMatrix& a) const;
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103 FloatMatrix stack (const FloatRowVector& a) const;
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104 FloatMatrix stack (const FloatColumnVector& a) const;
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105 FloatMatrix stack (const FloatDiagMatrix& a) const;
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106
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107 friend OCTAVE_API FloatMatrix real (const FloatComplexMatrix& a);
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108 friend OCTAVE_API FloatMatrix imag (const FloatComplexMatrix& a);
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109
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110 friend class FloatComplexMatrix;
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111
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112 FloatMatrix transpose (void) const { return MArray<float>::transpose (); }
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113
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114 // resize is the destructive equivalent for this one
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115
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116 FloatMatrix extract (octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2) const;
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117
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118 FloatMatrix extract_n (octave_idx_type r1, octave_idx_type c1, octave_idx_type nr, octave_idx_type nc) const;
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119
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120 // extract row or column i.
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121
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122 FloatRowVector row (octave_idx_type i) const;
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123
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124 FloatColumnVector column (octave_idx_type i) const;
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125
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126 private:
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127 FloatMatrix tinverse (MatrixType &mattype, octave_idx_type& info, float& rcon,
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128 int force, int calc_cond) const;
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129
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130 FloatMatrix finverse (MatrixType &mattype, octave_idx_type& info, float& rcon,
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131 int force, int calc_cond) const;
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132
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133 public:
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134 FloatMatrix inverse (void) const;
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135 FloatMatrix inverse (octave_idx_type& info) const;
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136 FloatMatrix inverse (octave_idx_type& info, float& rcon, int force = 0,
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137 int calc_cond = 1) const;
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138
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139 FloatMatrix inverse (MatrixType &mattype) const;
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140 FloatMatrix inverse (MatrixType &mattype, octave_idx_type& info) const;
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141 FloatMatrix inverse (MatrixType &mattype, octave_idx_type& info, float& rcon,
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142 int force = 0, int calc_cond = 1) const;
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143
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144 FloatMatrix pseudo_inverse (float tol = 0.0) const;
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145
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146 FloatComplexMatrix fourier (void) const;
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147 FloatComplexMatrix ifourier (void) const;
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148
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149 FloatComplexMatrix fourier2d (void) const;
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150 FloatComplexMatrix ifourier2d (void) const;
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151
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152 FloatDET determinant (void) const;
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153 FloatDET determinant (octave_idx_type& info) const;
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154 FloatDET determinant (octave_idx_type& info, float& rcon, int calc_cond = 1) const;
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155 FloatDET determinant (MatrixType &mattype, octave_idx_type& info,
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156 float& rcon, int calc_cond = 1) const;
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157
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158 float rcond (void) const;
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159 float rcond (MatrixType &mattype) const;
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160
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161 private:
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162 // Upper triangular matrix solvers
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163 FloatMatrix utsolve (MatrixType &typ, const FloatMatrix& b, octave_idx_type& info,
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164 float& rcon, solve_singularity_handler sing_handler,
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165 bool calc_cond = false, blas_trans_type transt = blas_no_trans) const;
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166
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167 // Lower triangular matrix solvers
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168 FloatMatrix ltsolve (MatrixType &typ, const FloatMatrix& b, octave_idx_type& info,
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169 float& rcon, solve_singularity_handler sing_handler,
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170 bool calc_cond = false, blas_trans_type transt = blas_no_trans) const;
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171
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172 // Full matrix solvers (lu/cholesky)
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173 FloatMatrix fsolve (MatrixType &typ, const FloatMatrix& b, octave_idx_type& info,
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174 float& rcon, solve_singularity_handler sing_handler,
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175 bool calc_cond = false) const;
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176
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177 public:
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178 // Generic interface to solver with no probing of type
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179 FloatMatrix solve (MatrixType &typ, const FloatMatrix& b) const;
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180 FloatMatrix solve (MatrixType &typ, const FloatMatrix& b, octave_idx_type& info) const;
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181 FloatMatrix solve (MatrixType &typ, const FloatMatrix& b, octave_idx_type& info,
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182 float& rcon) const;
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183 FloatMatrix solve (MatrixType &typ, const FloatMatrix& b, octave_idx_type& info,
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184 float& rcon, solve_singularity_handler sing_handler,
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185 bool singular_fallback = true, blas_trans_type transt = blas_no_trans) const;
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186
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187 FloatComplexMatrix solve (MatrixType &typ, const FloatComplexMatrix& b) const;
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188 FloatComplexMatrix solve (MatrixType &typ, const FloatComplexMatrix& b,
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189 octave_idx_type& info) const;
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190 FloatComplexMatrix solve (MatrixType &typ, const FloatComplexMatrix& b,
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191 octave_idx_type& info, float& rcon) const;
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192 FloatComplexMatrix solve (MatrixType &typ, const FloatComplexMatrix& b,
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193 octave_idx_type& info, float& rcon,
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194 solve_singularity_handler sing_handler,
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195 bool singular_fallback = true,
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196 blas_trans_type transt = blas_no_trans) const;
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197
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198 FloatColumnVector solve (MatrixType &typ, const FloatColumnVector& b) const;
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199 FloatColumnVector solve (MatrixType &typ, const FloatColumnVector& b,
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200 octave_idx_type& info) const;
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201 FloatColumnVector solve (MatrixType &typ, const FloatColumnVector& b,
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202 octave_idx_type& info, float& rcon) const;
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203 FloatColumnVector solve (MatrixType &typ, const FloatColumnVector& 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 blas_trans_type transt = blas_no_trans) const;
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207
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208 FloatComplexColumnVector solve (MatrixType &typ,
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209 const FloatComplexColumnVector& b) const;
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210 FloatComplexColumnVector solve (MatrixType &typ, const FloatComplexColumnVector& b,
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211 octave_idx_type& info) const;
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212 FloatComplexColumnVector solve (MatrixType &typ, const FloatComplexColumnVector& b,
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213 octave_idx_type& info, float& rcon) const;
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214 FloatComplexColumnVector solve (MatrixType &typ, const FloatComplexColumnVector& b,
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215 octave_idx_type& info, float& rcon,
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216 solve_singularity_handler sing_handler, blas_trans_type transt = blas_no_trans) const;
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217
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218 // Generic interface to solver with probing of type
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219 FloatMatrix solve (const FloatMatrix& b) const;
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220 FloatMatrix solve (const FloatMatrix& b, octave_idx_type& info) const;
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221 FloatMatrix solve (const FloatMatrix& b, octave_idx_type& info, float& rcon) const;
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222 FloatMatrix solve (const FloatMatrix& b, octave_idx_type& info, float& rcon,
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223 solve_singularity_handler sing_handler,
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224 blas_trans_type transt = blas_no_trans) const;
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225
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226 FloatComplexMatrix solve (const FloatComplexMatrix& b) const;
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227 FloatComplexMatrix solve (const FloatComplexMatrix& b, octave_idx_type& info) const;
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228 FloatComplexMatrix solve (const FloatComplexMatrix& b, octave_idx_type& info, float& rcon) const;
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229 FloatComplexMatrix solve (const FloatComplexMatrix& b, octave_idx_type& info, float& rcon,
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230 solve_singularity_handler sing_handler,
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231 blas_trans_type transt = blas_no_trans) const;
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232
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233 FloatColumnVector solve (const FloatColumnVector& b) const;
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234 FloatColumnVector solve (const FloatColumnVector& b, octave_idx_type& info) const;
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235 FloatColumnVector solve (const FloatColumnVector& b, octave_idx_type& info, float& rcon) const;
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236 FloatColumnVector solve (const FloatColumnVector& b, octave_idx_type& info, float& rcon,
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237 solve_singularity_handler sing_handler,
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238 blas_trans_type transt = blas_no_trans) const;
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239
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240 FloatComplexColumnVector solve (const FloatComplexColumnVector& b) const;
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241 FloatComplexColumnVector solve (const FloatComplexColumnVector& b, octave_idx_type& info) const;
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242 FloatComplexColumnVector solve (const FloatComplexColumnVector& b, octave_idx_type& info,
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243 float& rcon) const;
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244 FloatComplexColumnVector solve (const FloatComplexColumnVector& b, octave_idx_type& info,
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245 float& rcon, solve_singularity_handler sing_handler,
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246 blas_trans_type transt = blas_no_trans) const;
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247
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248 // Singular solvers
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249 FloatMatrix lssolve (const FloatMatrix& b) const;
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250 FloatMatrix lssolve (const FloatMatrix& b, octave_idx_type& info) const;
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251 FloatMatrix lssolve (const FloatMatrix& b, octave_idx_type& info,
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252 octave_idx_type& rank) const;
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253 FloatMatrix lssolve (const FloatMatrix& b, octave_idx_type& info,
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254 octave_idx_type& rank, float& rcon) const;
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255
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256 FloatComplexMatrix lssolve (const FloatComplexMatrix& b) const;
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257 FloatComplexMatrix lssolve (const FloatComplexMatrix& b, octave_idx_type& info) const;
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258 FloatComplexMatrix lssolve (const FloatComplexMatrix& b, octave_idx_type& info,
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259 octave_idx_type& rank) const;
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260 FloatComplexMatrix lssolve (const FloatComplexMatrix& b, octave_idx_type& info,
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261 octave_idx_type& rank, float &rcon) const;
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262
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263 FloatColumnVector lssolve (const FloatColumnVector& b) const;
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264 FloatColumnVector lssolve (const FloatColumnVector& b, octave_idx_type& info) const;
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265 FloatColumnVector lssolve (const FloatColumnVector& b, octave_idx_type& info,
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266 octave_idx_type& rank) const;
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267 FloatColumnVector lssolve (const FloatColumnVector& b, octave_idx_type& info,
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268 octave_idx_type& rank, float& rcon) const;
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269
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270 FloatComplexColumnVector lssolve (const FloatComplexColumnVector& b) const;
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271 FloatComplexColumnVector lssolve (const FloatComplexColumnVector& b,
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272 octave_idx_type& info) const;
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273 FloatComplexColumnVector lssolve (const FloatComplexColumnVector& b,
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274 octave_idx_type& info,
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275 octave_idx_type& rank) const;
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276 FloatComplexColumnVector lssolve (const FloatComplexColumnVector& b,
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277 octave_idx_type& info,
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278 octave_idx_type& rank, float& rcon) const;
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279
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280 FloatMatrix& operator += (const FloatDiagMatrix& a);
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281 FloatMatrix& operator -= (const FloatDiagMatrix& a);
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282
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283 // unary operations
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284
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285 boolMatrix operator ! (void) const;
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286
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287 // other operations
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288
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289 bool any_element_is_negative (bool = false) const;
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290 bool any_element_is_nan (void) const;
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291 bool any_element_is_inf_or_nan (void) const;
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292 bool any_element_not_one_or_zero (void) const;
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293 bool all_elements_are_int_or_inf_or_nan (void) const;
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294 bool all_integers (float& max_val, float& min_val) const;
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295 bool too_large_for_float (void) const;
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296
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297 boolMatrix all (int dim = -1) const;
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298 boolMatrix any (int dim = -1) const;
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299
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300 FloatMatrix cumprod (int dim = -1) const;
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301 FloatMatrix cumsum (int dim = -1) const;
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302 FloatMatrix prod (int dim = -1) const;
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303 FloatMatrix sum (int dim = -1) const;
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304 FloatMatrix sumsq (int dim = -1) const;
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305 FloatMatrix abs (void) const;
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306
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307 FloatMatrix diag (octave_idx_type k = 0) const;
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308
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309 FloatColumnVector row_min (void) const;
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310 FloatColumnVector row_max (void) const;
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311
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312 FloatColumnVector row_min (Array<octave_idx_type>& index) const;
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313 FloatColumnVector row_max (Array<octave_idx_type>& index) const;
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314
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315 FloatRowVector column_min (void) const;
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316 FloatRowVector column_max (void) const;
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317
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318 FloatRowVector column_min (Array<octave_idx_type>& index) const;
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319 FloatRowVector column_max (Array<octave_idx_type>& index) const;
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320
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321 // i/o
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322
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323 friend OCTAVE_API std::ostream& operator << (std::ostream& os, const FloatMatrix& a);
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324 friend OCTAVE_API std::istream& operator >> (std::istream& is, FloatMatrix& a);
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325
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326 static float resize_fill_value (void) { return 0; }
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327
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328 };
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329
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330 // Publish externally used friend functions.
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331
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332 extern OCTAVE_API FloatMatrix real (const FloatComplexMatrix& a);
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333 extern OCTAVE_API FloatMatrix imag (const FloatComplexMatrix& a);
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334
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335 // column vector by row vector -> matrix operations
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336
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337 extern OCTAVE_API FloatMatrix operator * (const FloatColumnVector& a, const FloatRowVector& b);
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338
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339 // Other functions.
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340
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341 extern OCTAVE_API FloatMatrix Givens (float, float);
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342
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343 extern OCTAVE_API FloatMatrix Sylvester (const FloatMatrix&, const FloatMatrix&, const FloatMatrix&);
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344
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345 extern OCTAVE_API FloatMatrix xgemm (const FloatMatrix& a, const FloatMatrix& b,
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346 blas_trans_type transa = blas_no_trans,
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347 blas_trans_type transb = blas_no_trans);
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348
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349 extern OCTAVE_API FloatMatrix operator * (const FloatMatrix& a, const FloatMatrix& b);
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350
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351 extern OCTAVE_API FloatMatrix min (float d, const FloatMatrix& m);
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352 extern OCTAVE_API FloatMatrix min (const FloatMatrix& m, float d);
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353 extern OCTAVE_API FloatMatrix min (const FloatMatrix& a, const FloatMatrix& b);
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354
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355 extern OCTAVE_API FloatMatrix max (float d, const FloatMatrix& m);
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356 extern OCTAVE_API FloatMatrix max (const FloatMatrix& m, float d);
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357 extern OCTAVE_API FloatMatrix max (const FloatMatrix& a, const FloatMatrix& b);
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358
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359 extern OCTAVE_API FloatMatrix linspace (const FloatColumnVector& x1,
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360 const FloatColumnVector& x2,
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361 octave_idx_type n);
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362
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363
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364 MS_CMP_OP_DECLS (FloatMatrix, float, OCTAVE_API)
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365 MS_BOOL_OP_DECLS (FloatMatrix, float, OCTAVE_API)
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366
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367 SM_CMP_OP_DECLS (float, FloatMatrix, OCTAVE_API)
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368 SM_BOOL_OP_DECLS (float, FloatMatrix, OCTAVE_API)
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369
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370 MM_CMP_OP_DECLS (FloatMatrix, FloatMatrix, OCTAVE_API)
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371 MM_BOOL_OP_DECLS (FloatMatrix, FloatMatrix, OCTAVE_API)
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372
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373 MARRAY_FORWARD_DEFS (MArray, FloatMatrix, float)
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374
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375 template <class T>
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376 void read_int (std::istream& is, bool swap_bytes, T& val);
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377
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378 #endif