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1 /* |
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2 |
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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, Inc., 51 Franklin Street, Fifth Floor, Boston, MA |
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20 02110-1301, USA. |
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21 |
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22 */ |
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23 |
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24 #if !defined (octave_Matrix_int_h) |
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25 #define octave_Matrix_int_h 1 |
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26 |
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27 #include "MArray2.h" |
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28 #include "MDiagArray2.h" |
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29 #include "MatrixType.h" |
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30 |
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31 #include "mx-defs.h" |
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32 #include "mx-op-defs.h" |
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33 |
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34 class |
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35 Matrix : public MArray2<double> |
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36 { |
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37 public: |
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38 |
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39 typedef void (*solve_singularity_handler) (double rcond); |
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40 |
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41 Matrix (void) : MArray2<double> () { } |
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42 |
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43 Matrix (octave_idx_type r, octave_idx_type c) : MArray2<double> (r, c) { } |
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44 |
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45 Matrix (octave_idx_type r, octave_idx_type c, double val) : MArray2<double> (r, c, val) { } |
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46 |
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47 Matrix (const Matrix& a) : MArray2<double> (a) { } |
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48 |
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49 Matrix (const MArray2<double>& a) : MArray2<double> (a) { } |
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50 |
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51 explicit Matrix (const RowVector& rv); |
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52 |
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53 explicit Matrix (const ColumnVector& cv); |
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54 |
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55 explicit Matrix (const DiagMatrix& a); |
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56 |
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57 explicit Matrix (const boolMatrix& a); |
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58 |
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59 explicit Matrix (const charMatrix& a); |
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60 |
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61 Matrix& operator = (const Matrix& a) |
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62 { |
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63 MArray2<double>::operator = (a); |
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64 return *this; |
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65 } |
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66 |
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67 bool operator == (const Matrix& a) const; |
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68 bool operator != (const Matrix& a) const; |
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69 |
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70 bool is_symmetric (void) const; |
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71 |
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72 // destructive insert/delete/reorder operations |
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73 |
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74 Matrix& insert (const Matrix& a, octave_idx_type r, octave_idx_type c); |
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75 Matrix& insert (const RowVector& a, octave_idx_type r, octave_idx_type c); |
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76 Matrix& insert (const ColumnVector& a, octave_idx_type r, octave_idx_type c); |
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77 Matrix& insert (const DiagMatrix& a, octave_idx_type r, octave_idx_type c); |
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78 |
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79 Matrix& fill (double val); |
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80 Matrix& fill (double val, octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2); |
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81 |
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82 Matrix append (const Matrix& a) const; |
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83 Matrix append (const RowVector& a) const; |
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84 Matrix append (const ColumnVector& a) const; |
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85 Matrix append (const DiagMatrix& a) const; |
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86 |
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87 Matrix stack (const Matrix& a) const; |
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88 Matrix stack (const RowVector& a) const; |
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89 Matrix stack (const ColumnVector& a) const; |
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90 Matrix stack (const DiagMatrix& a) const; |
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91 |
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92 friend Matrix real (const ComplexMatrix& a); |
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93 friend Matrix imag (const ComplexMatrix& a); |
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94 |
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95 Matrix transpose (void) const { return MArray2<double>::transpose (); } |
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96 |
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97 // resize is the destructive equivalent for this one |
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98 |
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99 Matrix extract (octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2) const; |
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100 |
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101 Matrix extract_n (octave_idx_type r1, octave_idx_type c1, octave_idx_type nr, octave_idx_type nc) const; |
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102 |
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103 // extract row or column i. |
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104 |
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105 RowVector row (octave_idx_type i) const; |
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106 |
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107 ColumnVector column (octave_idx_type i) const; |
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108 |
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109 Matrix inverse (void) const; |
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110 Matrix inverse (octave_idx_type& info) const; |
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111 Matrix inverse (octave_idx_type& info, double& rcond, int force = 0, |
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112 int calc_cond = 1) const; |
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113 |
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114 Matrix pseudo_inverse (double tol = 0.0) const; |
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115 |
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116 ComplexMatrix fourier (void) const; |
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117 ComplexMatrix ifourier (void) const; |
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118 |
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119 ComplexMatrix fourier2d (void) const; |
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120 ComplexMatrix ifourier2d (void) const; |
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121 |
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122 DET determinant (void) const; |
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123 DET determinant (octave_idx_type& info) const; |
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124 DET determinant (octave_idx_type& info, double& rcond, int calc_cond = 1) const; |
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125 |
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126 private: |
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127 // Upper triangular matrix solvers |
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128 Matrix utsolve (MatrixType &typ, const Matrix& b, octave_idx_type& info, |
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129 double& rcond, solve_singularity_handler sing_handler, |
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130 bool calc_cond = false) const; |
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131 |
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132 // Lower triangular matrix solvers |
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133 Matrix ltsolve (MatrixType &typ, const Matrix& b, octave_idx_type& info, |
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134 double& rcond, solve_singularity_handler sing_handler, |
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135 bool calc_cond = false) const; |
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136 |
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137 // Full matrix solvers (lu/cholesky) |
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138 Matrix fsolve (MatrixType &typ, const Matrix& b, octave_idx_type& info, |
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139 double& rcond, solve_singularity_handler sing_handler, |
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140 bool calc_cond = false) const; |
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141 |
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142 public: |
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143 // Generic interface to solver with no probing of type |
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144 Matrix solve (MatrixType &typ, const Matrix& b) const; |
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145 Matrix solve (MatrixType &typ, const Matrix& b, octave_idx_type& info) const; |
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146 Matrix solve (MatrixType &typ, const Matrix& b, octave_idx_type& info, |
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147 double& rcond) const; |
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148 Matrix solve (MatrixType &typ, const Matrix& b, octave_idx_type& info, |
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149 double& rcond, solve_singularity_handler sing_handler, |
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150 bool singular_fallback = true) const; |
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151 |
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152 ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b) const; |
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153 ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b, |
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154 octave_idx_type& info) const; |
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155 ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b, |
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156 octave_idx_type& info, double& rcond) const; |
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157 ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b, |
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158 octave_idx_type& info, double& rcond, |
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159 solve_singularity_handler sing_handler, |
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160 bool singular_fallback = true) const; |
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161 |
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162 ColumnVector solve (MatrixType &typ, const ColumnVector& b) const; |
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163 ColumnVector solve (MatrixType &typ, const ColumnVector& b, |
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164 octave_idx_type& info) const; |
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165 ColumnVector solve (MatrixType &typ, const ColumnVector& b, |
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166 octave_idx_type& info, double& rcond) const; |
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167 ColumnVector solve (MatrixType &typ, const ColumnVector& b, |
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168 octave_idx_type& info, double& rcond, |
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169 solve_singularity_handler sing_handler) const; |
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170 |
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171 ComplexColumnVector solve (MatrixType &typ, |
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172 const ComplexColumnVector& b) const; |
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173 ComplexColumnVector solve (MatrixType &typ, const ComplexColumnVector& b, |
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174 octave_idx_type& info) const; |
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175 ComplexColumnVector solve (MatrixType &typ, const ComplexColumnVector& b, |
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176 octave_idx_type& info, double& rcond) const; |
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177 ComplexColumnVector solve (MatrixType &typ, const ComplexColumnVector& b, |
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178 octave_idx_type& info, double& rcond, |
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179 solve_singularity_handler sing_handler) const; |
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180 |
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181 // Generic interface to solver with probing of type |
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182 Matrix solve (const Matrix& b) const; |
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183 Matrix solve (const Matrix& b, octave_idx_type& info) const; |
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184 Matrix solve (const Matrix& b, octave_idx_type& info, double& rcond) const; |
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185 Matrix solve (const Matrix& b, octave_idx_type& info, double& rcond, |
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186 solve_singularity_handler sing_handler) const; |
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187 |
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188 ComplexMatrix solve (const ComplexMatrix& b) const; |
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189 ComplexMatrix solve (const ComplexMatrix& b, octave_idx_type& info) const; |
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190 ComplexMatrix solve (const ComplexMatrix& b, octave_idx_type& info, double& rcond) const; |
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191 ComplexMatrix solve (const ComplexMatrix& b, octave_idx_type& info, double& rcond, |
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192 solve_singularity_handler sing_handler) const; |
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193 |
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194 ColumnVector solve (const ColumnVector& b) const; |
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195 ColumnVector solve (const ColumnVector& b, octave_idx_type& info) const; |
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196 ColumnVector solve (const ColumnVector& b, octave_idx_type& info, double& rcond) const; |
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197 ColumnVector solve (const ColumnVector& b, octave_idx_type& info, double& rcond, |
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198 solve_singularity_handler sing_handler) const; |
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199 |
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200 ComplexColumnVector solve (const ComplexColumnVector& b) const; |
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201 ComplexColumnVector solve (const ComplexColumnVector& b, octave_idx_type& info) const; |
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202 ComplexColumnVector solve (const ComplexColumnVector& b, octave_idx_type& info, |
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203 double& rcond) const; |
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204 ComplexColumnVector solve (const ComplexColumnVector& b, octave_idx_type& info, |
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205 double& rcond, |
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206 solve_singularity_handler sing_handler) const; |
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207 |
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208 // Singular solvers |
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209 Matrix lssolve (const Matrix& b) const; |
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210 Matrix lssolve (const Matrix& b, octave_idx_type& info) const; |
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211 Matrix lssolve (const Matrix& b, octave_idx_type& info, octave_idx_type& rank) const; |
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212 |
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213 ComplexMatrix lssolve (const ComplexMatrix& b) const; |
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214 ComplexMatrix lssolve (const ComplexMatrix& b, octave_idx_type& info) const; |
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215 ComplexMatrix lssolve (const ComplexMatrix& b, octave_idx_type& info, |
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216 octave_idx_type& rank) const; |
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217 |
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218 ColumnVector lssolve (const ColumnVector& b) const; |
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219 ColumnVector lssolve (const ColumnVector& b, octave_idx_type& info) const; |
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220 ColumnVector lssolve (const ColumnVector& b, octave_idx_type& info, octave_idx_type& rank) const; |
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221 |
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222 ComplexColumnVector lssolve (const ComplexColumnVector& b) const; |
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223 ComplexColumnVector lssolve (const ComplexColumnVector& b, octave_idx_type& info) const; |
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224 ComplexColumnVector lssolve (const ComplexColumnVector& b, octave_idx_type& info, |
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225 octave_idx_type& rank) const; |
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226 |
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227 Matrix expm (void) const; |
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228 |
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229 Matrix& operator += (const DiagMatrix& a); |
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230 Matrix& operator -= (const DiagMatrix& a); |
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231 |
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232 // unary operations |
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233 |
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234 boolMatrix operator ! (void) const; |
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235 |
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236 // other operations |
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237 |
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238 Matrix map (d_d_Mapper f) const; |
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239 boolMatrix map (b_d_Mapper f) const; |
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240 |
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241 Matrix& apply (d_d_Mapper f); |
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242 |
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243 bool any_element_is_negative (bool = false) const; |
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244 bool any_element_is_inf_or_nan (void) const; |
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245 bool any_element_not_one_or_zero (void) const; |
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246 bool all_elements_are_int_or_inf_or_nan (void) const; |
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247 bool all_integers (double& max_val, double& min_val) const; |
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248 bool too_large_for_float (void) const; |
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249 |
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250 boolMatrix all (int dim = -1) const; |
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251 boolMatrix any (int dim = -1) const; |
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252 |
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253 Matrix cumprod (int dim = -1) const; |
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254 Matrix cumsum (int dim = -1) const; |
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255 Matrix prod (int dim = -1) const; |
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256 Matrix sum (int dim = -1) const; |
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257 Matrix sumsq (int dim = -1) const; |
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258 Matrix abs (void) const; |
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259 |
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260 ColumnVector diag (void) const; |
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261 ColumnVector diag (octave_idx_type k) const; |
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262 |
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263 ColumnVector row_min (void) const; |
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264 ColumnVector row_max (void) const; |
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265 |
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266 ColumnVector row_min (Array<octave_idx_type>& index) const; |
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267 ColumnVector row_max (Array<octave_idx_type>& index) const; |
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268 |
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269 RowVector column_min (void) const; |
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270 RowVector column_max (void) const; |
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271 |
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272 RowVector column_min (Array<octave_idx_type>& index) const; |
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273 RowVector column_max (Array<octave_idx_type>& index) const; |
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274 |
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275 // i/o |
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276 |
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277 friend std::ostream& operator << (std::ostream& os, const Matrix& a); |
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278 friend std::istream& operator >> (std::istream& is, Matrix& a); |
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279 |
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280 static double resize_fill_value (void) { return 0; } |
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281 |
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282 private: |
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283 |
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284 Matrix (double *d, octave_idx_type r, octave_idx_type c) : MArray2<double> (d, r, c) { } |
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285 }; |
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286 |
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287 // Publish externally used friend functions. |
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288 |
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289 extern Matrix real (const ComplexMatrix& a); |
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290 extern Matrix imag (const ComplexMatrix& a); |
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291 |
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292 // column vector by row vector -> matrix operations |
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293 |
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294 extern Matrix operator * (const ColumnVector& a, const RowVector& b); |
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295 |
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296 // Other functions. |
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297 |
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298 extern Matrix Givens (double, double); |
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299 |
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300 extern Matrix Sylvester (const Matrix&, const Matrix&, const Matrix&); |
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301 |
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302 extern Matrix operator * (const Matrix& a, const Matrix& b); |
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303 |
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304 extern Matrix min (double d, const Matrix& m); |
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305 extern Matrix min (const Matrix& m, double d); |
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306 extern Matrix min (const Matrix& a, const Matrix& b); |
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307 |
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308 extern Matrix max (double d, const Matrix& m); |
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309 extern Matrix max (const Matrix& m, double d); |
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310 extern Matrix max (const Matrix& a, const Matrix& b); |
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311 |
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312 MS_CMP_OP_DECLS (Matrix, double) |
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313 MS_BOOL_OP_DECLS (Matrix, double) |
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314 |
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315 SM_CMP_OP_DECLS (double, Matrix) |
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316 SM_BOOL_OP_DECLS (double, Matrix) |
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317 |
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318 MM_CMP_OP_DECLS (Matrix, Matrix) |
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319 MM_BOOL_OP_DECLS (Matrix, Matrix) |
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320 |
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321 MARRAY_FORWARD_DEFS (MArray2, Matrix, double) |
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322 |
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323 template <class T> |
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324 void read_int (std::istream& is, bool swap_bytes, T& val); |
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325 |
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326 #endif |
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327 |
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328 /* |
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329 ;;; Local Variables: *** |
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330 ;;; mode: C++ *** |
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331 ;;; End: *** |
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332 */ |
