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1 /* |
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3 Copyright (C) 1996, 1997 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 2, or (at your option) any |
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10 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, write to the Free |
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19 Software Foundation, 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. |
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20 |
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21 */ |
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22 |
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23 #if !defined (octave_Matrix_int_h) |
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24 #define octave_Matrix_int_h 1 |
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25 |
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26 #if defined (__GNUG__) |
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27 #pragma interface |
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28 #endif |
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29 |
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30 #include "MArray2.h" |
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31 #include "MDiagArray2.h" |
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32 |
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33 #include "mx-defs.h" |
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34 #include "mx-op-defs.h" |
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35 |
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36 #include "data-conv.h" |
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37 #include "mach-info.h" |
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38 |
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39 class Matrix : public MArray2<double> |
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40 { |
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41 public: |
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42 |
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43 typedef void (*solve_singularity_handler) (double rcond); |
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44 |
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45 Matrix (void) : MArray2<double> () { } |
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46 Matrix (int r, int c) : MArray2<double> (r, c) { } |
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47 Matrix (int r, int c, double val) : MArray2<double> (r, c, val) { } |
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48 Matrix (const MArray2<double>& a) : MArray2<double> (a) { } |
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49 Matrix (const Matrix& a) : MArray2<double> (a) { } |
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50 Matrix (const RowVector& rv); |
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51 Matrix (const ColumnVector& cv); |
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52 // Matrix (const MDiagArray2<double>& a) : MArray2<double> (a) { } |
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53 Matrix (const DiagMatrix& a); |
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54 |
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55 Matrix (const boolMatrix& a); |
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56 Matrix (const charMatrix& a); |
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57 |
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58 Matrix& operator = (const Matrix& a) |
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59 { |
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60 MArray2<double>::operator = (a); |
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61 return *this; |
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62 } |
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63 |
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64 bool operator == (const Matrix& a) const; |
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65 bool operator != (const Matrix& a) const; |
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66 |
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67 bool is_symmetric (void) const; |
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68 |
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69 // destructive insert/delete/reorder operations |
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70 |
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71 Matrix& insert (const Matrix& a, int r, int c); |
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72 Matrix& insert (const RowVector& a, int r, int c); |
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73 Matrix& insert (const ColumnVector& a, int r, int c); |
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74 Matrix& insert (const DiagMatrix& a, int r, int c); |
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75 |
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76 Matrix& fill (double val); |
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77 Matrix& fill (double val, int r1, int c1, int r2, int c2); |
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78 |
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79 Matrix append (const Matrix& a) const; |
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80 Matrix append (const RowVector& a) const; |
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81 Matrix append (const ColumnVector& a) const; |
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82 Matrix append (const DiagMatrix& a) const; |
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83 |
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84 Matrix stack (const Matrix& a) const; |
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85 Matrix stack (const RowVector& a) const; |
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86 Matrix stack (const ColumnVector& a) const; |
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87 Matrix stack (const DiagMatrix& a) const; |
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88 |
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89 friend Matrix real (const ComplexMatrix& a); |
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90 friend Matrix imag (const ComplexMatrix& a); |
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91 |
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92 Matrix transpose (void) const { return MArray2<double>::transpose (); } |
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93 |
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94 // resize is the destructive equivalent for this one |
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95 |
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96 Matrix extract (int r1, int c1, int r2, int c2) const; |
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97 |
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98 // extract row or column i. |
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99 |
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100 RowVector row (int i) const; |
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101 RowVector row (char *s) const; |
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102 |
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103 ColumnVector column (int i) const; |
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104 ColumnVector column (char *s) const; |
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105 |
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106 Matrix inverse (void) const; |
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107 Matrix inverse (int& info) const; |
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108 Matrix inverse (int& info, double& rcond, int force = 0) const; |
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109 |
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110 Matrix pseudo_inverse (double tol = 0.0); |
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111 |
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112 ComplexMatrix fourier (void) const; |
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113 ComplexMatrix ifourier (void) const; |
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114 |
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115 ComplexMatrix fourier2d (void) const; |
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116 ComplexMatrix ifourier2d (void) const; |
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117 |
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118 DET determinant (void) const; |
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119 DET determinant (int& info) const; |
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120 DET determinant (int& info, double& rcond) const; |
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121 |
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122 Matrix solve (const Matrix& b) const; |
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123 Matrix solve (const Matrix& b, int& info) const; |
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124 Matrix solve (const Matrix& b, int& info, double& rcond) const; |
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125 Matrix solve (const Matrix& b, int& info, double& rcond, |
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126 solve_singularity_handler sing_handler) const; |
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127 |
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128 ComplexMatrix solve (const ComplexMatrix& b) const; |
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129 ComplexMatrix solve (const ComplexMatrix& b, int& info) const; |
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130 ComplexMatrix solve (const ComplexMatrix& b, int& info, double& rcond) const; |
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131 ComplexMatrix solve (const ComplexMatrix& b, int& info, double& rcond, |
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132 solve_singularity_handler sing_handler) const; |
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133 |
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134 ColumnVector solve (const ColumnVector& b) const; |
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135 ColumnVector solve (const ColumnVector& b, int& info) const; |
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136 ColumnVector solve (const ColumnVector& b, int& info, double& rcond) const; |
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137 ColumnVector solve (const ColumnVector& b, int& info, double& rcond, |
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138 solve_singularity_handler sing_handler) const; |
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139 |
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140 ComplexColumnVector solve (const ComplexColumnVector& b) const; |
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141 ComplexColumnVector solve (const ComplexColumnVector& b, int& info) const; |
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142 ComplexColumnVector solve (const ComplexColumnVector& b, int& info, |
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143 double& rcond) const; |
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144 ComplexColumnVector solve (const ComplexColumnVector& b, int& info, |
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145 double& rcond, |
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146 solve_singularity_handler sing_handler) const; |
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147 |
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148 Matrix lssolve (const Matrix& b) const; |
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149 Matrix lssolve (const Matrix& b, int& info) const; |
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150 Matrix lssolve (const Matrix& b, int& info, int& rank) const; |
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151 |
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152 ComplexMatrix lssolve (const ComplexMatrix& b) const; |
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153 ComplexMatrix lssolve (const ComplexMatrix& b, int& info) const; |
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154 ComplexMatrix lssolve (const ComplexMatrix& b, int& info, |
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155 int& rank) const; |
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156 |
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157 ColumnVector lssolve (const ColumnVector& b) const; |
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158 ColumnVector lssolve (const ColumnVector& b, int& info) const; |
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159 ColumnVector lssolve (const ColumnVector& b, int& info, int& rank) const; |
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160 |
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161 ComplexColumnVector lssolve (const ComplexColumnVector& b) const; |
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162 ComplexColumnVector lssolve (const ComplexColumnVector& b, int& info) const; |
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163 ComplexColumnVector lssolve (const ComplexColumnVector& b, int& info, |
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164 int& rank) const; |
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165 |
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166 Matrix expm (void) const; |
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167 |
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168 Matrix& operator += (const Matrix& a); |
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169 Matrix& operator -= (const Matrix& a); |
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170 |
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171 Matrix& operator += (const DiagMatrix& a); |
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172 Matrix& operator -= (const DiagMatrix& a); |
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173 |
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174 // unary operations |
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175 |
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176 boolMatrix operator ! (void) const; |
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177 |
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178 // column vector by row vector -> matrix operations |
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179 |
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180 friend Matrix operator * (const ColumnVector& a, const RowVector& b); |
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181 |
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182 // other operations |
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183 |
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184 Matrix map (d_d_Mapper f) const; |
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185 boolMatrix map (b_d_Mapper f) const; |
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186 |
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187 Matrix& apply (d_d_Mapper f); |
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188 |
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189 bool any_element_is_negative (void) const; |
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190 bool any_element_is_inf_or_nan (void) const; |
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191 bool all_elements_are_int_or_inf_or_nan (void) const; |
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192 bool all_integers (double& max_val, double& min_val) const; |
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193 bool too_large_for_float (void) const; |
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194 |
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195 boolMatrix all (void) const; |
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196 boolMatrix any (void) const; |
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197 |
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198 Matrix cumprod (void) const; |
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199 Matrix cumsum (void) const; |
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200 Matrix prod (void) const; |
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201 Matrix sum (void) const; |
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202 Matrix sumsq (void) const; |
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203 Matrix abs (void) const; |
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204 |
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205 ColumnVector diag (void) const; |
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206 ColumnVector diag (int k) const; |
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207 |
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208 ColumnVector row_min (void) const; |
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209 ColumnVector row_max (void) const; |
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210 |
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211 ColumnVector row_min (Array<int>& index) const; |
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212 ColumnVector row_max (Array<int>& index) const; |
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213 |
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214 RowVector column_min (void) const; |
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215 RowVector column_max (void) const; |
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216 |
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217 RowVector column_min (Array<int>& index) const; |
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218 RowVector column_max (Array<int>& index) const; |
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219 |
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220 // i/o |
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221 |
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222 friend std::ostream& operator << (std::ostream& os, const Matrix& a); |
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223 friend std::istream& operator >> (std::istream& is, Matrix& a); |
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224 |
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225 int read (std::istream& is, int nr, int nc, oct_data_conv::data_type dt, |
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226 int skip, oct_mach_info::float_format flt_fmt); |
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227 |
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228 int write (std::ostream& os, oct_data_conv::data_type dt, int skip, |
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229 oct_mach_info::float_format flt_fmt); |
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230 |
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231 private: |
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232 |
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233 Matrix (double *d, int r, int c) : MArray2<double> (d, r, c) { } |
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234 }; |
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235 |
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236 extern Matrix Givens (double, double); |
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237 |
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238 extern Matrix Sylvester (const Matrix&, const Matrix&, const Matrix&); |
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239 |
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240 extern Matrix operator * (const Matrix& a, const Matrix& b); |
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241 |
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242 MS_CMP_OP_DECLS (Matrix, double) |
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243 MS_BOOL_OP_DECLS (Matrix, double) |
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244 |
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245 SM_CMP_OP_DECLS (double, Matrix) |
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246 SM_BOOL_OP_DECLS (double, Matrix) |
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247 |
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248 MM_CMP_OP_DECLS (Matrix, Matrix) |
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249 MM_BOOL_OP_DECLS (Matrix, Matrix) |
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250 |
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251 MARRAY_FORWARD_DEFS (MArray2, Matrix, double) |
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252 |
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253 #endif |
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254 |
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255 /* |
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256 ;;; Local Variables: *** |
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257 ;;; mode: C++ *** |
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258 ;;; End: *** |
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259 */ |
