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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 OCTAVE_API |
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36 Matrix : public MArray2<double> |
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37 { |
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38 public: |
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39 |
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40 typedef void (*solve_singularity_handler) (double rcond); |
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41 |
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42 Matrix (void) : MArray2<double> () { } |
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43 |
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44 Matrix (octave_idx_type r, octave_idx_type c) : MArray2<double> (r, c) { } |
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45 |
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46 Matrix (octave_idx_type r, octave_idx_type c, double val) : MArray2<double> (r, c, val) { } |
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47 |
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48 Matrix (const Matrix& a) : MArray2<double> (a) { } |
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49 |
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50 Matrix (const MArray2<double>& a) : MArray2<double> (a) { } |
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51 |
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52 explicit Matrix (const RowVector& rv); |
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53 |
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54 explicit Matrix (const ColumnVector& cv); |
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55 |
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56 explicit Matrix (const DiagMatrix& a); |
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57 |
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58 explicit Matrix (const boolMatrix& a); |
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59 |
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60 explicit Matrix (const charMatrix& a); |
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61 |
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62 Matrix& operator = (const Matrix& a) |
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63 { |
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64 MArray2<double>::operator = (a); |
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65 return *this; |
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66 } |
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67 |
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68 bool operator == (const Matrix& a) const; |
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69 bool operator != (const Matrix& a) const; |
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70 |
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71 bool is_symmetric (void) const; |
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72 |
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73 // destructive insert/delete/reorder operations |
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74 |
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75 Matrix& insert (const Matrix& a, octave_idx_type r, octave_idx_type c); |
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76 Matrix& insert (const RowVector& a, octave_idx_type r, octave_idx_type c); |
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77 Matrix& insert (const ColumnVector& a, octave_idx_type r, octave_idx_type c); |
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78 Matrix& insert (const DiagMatrix& a, octave_idx_type r, octave_idx_type c); |
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79 |
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80 Matrix& fill (double val); |
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81 Matrix& fill (double val, octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2); |
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82 |
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83 Matrix append (const Matrix& a) const; |
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84 Matrix append (const RowVector& a) const; |
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85 Matrix append (const ColumnVector& a) const; |
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86 Matrix append (const DiagMatrix& a) const; |
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87 |
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88 Matrix stack (const Matrix& a) const; |
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89 Matrix stack (const RowVector& a) const; |
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90 Matrix stack (const ColumnVector& a) const; |
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91 Matrix stack (const DiagMatrix& a) const; |
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92 |
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93 friend OCTAVE_API Matrix real (const ComplexMatrix& a); |
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94 friend OCTAVE_API Matrix imag (const ComplexMatrix& a); |
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95 |
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96 Matrix transpose (void) const { return MArray2<double>::transpose (); } |
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97 |
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98 // resize is the destructive equivalent for this one |
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99 |
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100 Matrix extract (octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2) const; |
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101 |
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102 Matrix extract_n (octave_idx_type r1, octave_idx_type c1, octave_idx_type nr, octave_idx_type nc) const; |
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103 |
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104 // extract row or column i. |
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105 |
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106 RowVector row (octave_idx_type i) const; |
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107 |
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108 ColumnVector column (octave_idx_type i) const; |
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109 |
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110 private: |
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111 Matrix tinverse (MatrixType &mattype, octave_idx_type& info, double& rcond, |
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112 int force, int calc_cond) const; |
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113 |
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114 Matrix finverse (MatrixType &mattype, octave_idx_type& info, double& rcond, |
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115 int force, int calc_cond) const; |
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116 |
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117 public: |
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118 Matrix inverse (void) const; |
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119 Matrix inverse (octave_idx_type& info) const; |
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120 Matrix inverse (octave_idx_type& info, double& rcond, int force = 0, |
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121 int calc_cond = 1) const; |
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122 |
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123 Matrix inverse (MatrixType &mattype) const; |
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124 Matrix inverse (MatrixType &mattype, octave_idx_type& info) const; |
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125 Matrix inverse (MatrixType &mattype, octave_idx_type& info, double& rcond, |
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126 int force = 0, int calc_cond = 1) const; |
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127 |
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128 Matrix pseudo_inverse (double tol = 0.0) const; |
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129 |
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130 ComplexMatrix fourier (void) const; |
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131 ComplexMatrix ifourier (void) const; |
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132 |
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133 ComplexMatrix fourier2d (void) const; |
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134 ComplexMatrix ifourier2d (void) const; |
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135 |
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136 DET determinant (void) const; |
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137 DET determinant (octave_idx_type& info) const; |
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138 DET determinant (octave_idx_type& info, double& rcond, int calc_cond = 1) const; |
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139 |
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140 private: |
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141 // Upper triangular matrix solvers |
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142 Matrix utsolve (MatrixType &typ, const Matrix& b, octave_idx_type& info, |
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143 double& rcond, solve_singularity_handler sing_handler, |
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144 bool calc_cond = false) const; |
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145 |
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146 // Lower triangular matrix solvers |
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147 Matrix ltsolve (MatrixType &typ, const Matrix& b, octave_idx_type& info, |
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148 double& rcond, solve_singularity_handler sing_handler, |
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149 bool calc_cond = false) const; |
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150 |
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151 // Full matrix solvers (lu/cholesky) |
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152 Matrix fsolve (MatrixType &typ, const Matrix& b, octave_idx_type& info, |
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153 double& rcond, solve_singularity_handler sing_handler, |
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154 bool calc_cond = false) const; |
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155 |
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156 public: |
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157 // Generic interface to solver with no probing of type |
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158 Matrix solve (MatrixType &typ, const Matrix& b) const; |
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159 Matrix solve (MatrixType &typ, const Matrix& b, octave_idx_type& info) const; |
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160 Matrix solve (MatrixType &typ, const Matrix& b, octave_idx_type& info, |
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161 double& rcond) const; |
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162 Matrix solve (MatrixType &typ, const Matrix& b, octave_idx_type& info, |
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163 double& rcond, solve_singularity_handler sing_handler, |
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164 bool singular_fallback = true) const; |
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165 |
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166 ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b) const; |
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167 ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b, |
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168 octave_idx_type& info) const; |
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169 ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b, |
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170 octave_idx_type& info, double& rcond) const; |
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171 ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b, |
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172 octave_idx_type& info, double& rcond, |
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173 solve_singularity_handler sing_handler, |
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174 bool singular_fallback = true) const; |
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175 |
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176 ColumnVector solve (MatrixType &typ, const ColumnVector& b) const; |
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177 ColumnVector solve (MatrixType &typ, const ColumnVector& b, |
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178 octave_idx_type& info) const; |
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179 ColumnVector solve (MatrixType &typ, const ColumnVector& b, |
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180 octave_idx_type& info, double& rcond) const; |
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181 ColumnVector solve (MatrixType &typ, const ColumnVector& b, |
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182 octave_idx_type& info, double& rcond, |
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183 solve_singularity_handler sing_handler) const; |
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184 |
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185 ComplexColumnVector solve (MatrixType &typ, |
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186 const ComplexColumnVector& b) const; |
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187 ComplexColumnVector solve (MatrixType &typ, const ComplexColumnVector& b, |
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188 octave_idx_type& info) const; |
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189 ComplexColumnVector solve (MatrixType &typ, const ComplexColumnVector& b, |
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190 octave_idx_type& info, double& rcond) const; |
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191 ComplexColumnVector solve (MatrixType &typ, const ComplexColumnVector& b, |
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192 octave_idx_type& info, double& rcond, |
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193 solve_singularity_handler sing_handler) const; |
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194 |
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195 // Generic interface to solver with probing of type |
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196 Matrix solve (const Matrix& b) const; |
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197 Matrix solve (const Matrix& b, octave_idx_type& info) const; |
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198 Matrix solve (const Matrix& b, octave_idx_type& info, double& rcond) const; |
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199 Matrix solve (const Matrix& b, octave_idx_type& info, double& rcond, |
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200 solve_singularity_handler sing_handler) const; |
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201 |
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202 ComplexMatrix solve (const ComplexMatrix& b) const; |
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203 ComplexMatrix solve (const ComplexMatrix& b, octave_idx_type& info) const; |
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204 ComplexMatrix solve (const ComplexMatrix& b, octave_idx_type& info, double& rcond) const; |
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205 ComplexMatrix solve (const ComplexMatrix& b, octave_idx_type& info, double& rcond, |
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206 solve_singularity_handler sing_handler) const; |
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207 |
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208 ColumnVector solve (const ColumnVector& b) const; |
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209 ColumnVector solve (const ColumnVector& b, octave_idx_type& info) const; |
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210 ColumnVector solve (const ColumnVector& b, octave_idx_type& info, double& rcond) const; |
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211 ColumnVector solve (const ColumnVector& b, octave_idx_type& info, double& rcond, |
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212 solve_singularity_handler sing_handler) const; |
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213 |
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214 ComplexColumnVector solve (const ComplexColumnVector& b) const; |
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215 ComplexColumnVector solve (const ComplexColumnVector& b, octave_idx_type& info) const; |
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216 ComplexColumnVector solve (const ComplexColumnVector& b, octave_idx_type& info, |
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217 double& rcond) const; |
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218 ComplexColumnVector solve (const ComplexColumnVector& b, octave_idx_type& info, |
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219 double& rcond, |
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220 solve_singularity_handler sing_handler) const; |
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221 |
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222 // Singular solvers |
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223 Matrix lssolve (const Matrix& b) const; |
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224 Matrix lssolve (const Matrix& b, octave_idx_type& info) const; |
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225 Matrix lssolve (const Matrix& b, octave_idx_type& info, octave_idx_type& rank) const; |
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226 |
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227 ComplexMatrix lssolve (const ComplexMatrix& b) const; |
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228 ComplexMatrix lssolve (const ComplexMatrix& b, octave_idx_type& info) const; |
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229 ComplexMatrix lssolve (const ComplexMatrix& b, octave_idx_type& info, |
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230 octave_idx_type& rank) const; |
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231 |
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232 ColumnVector lssolve (const ColumnVector& b) const; |
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233 ColumnVector lssolve (const ColumnVector& b, octave_idx_type& info) const; |
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234 ColumnVector lssolve (const ColumnVector& b, octave_idx_type& info, octave_idx_type& rank) const; |
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235 |
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236 ComplexColumnVector lssolve (const ComplexColumnVector& b) const; |
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237 ComplexColumnVector lssolve (const ComplexColumnVector& b, octave_idx_type& info) const; |
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238 ComplexColumnVector lssolve (const ComplexColumnVector& b, octave_idx_type& info, |
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239 octave_idx_type& rank) const; |
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240 |
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241 Matrix expm (void) const; |
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242 |
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243 Matrix& operator += (const DiagMatrix& a); |
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244 Matrix& operator -= (const DiagMatrix& a); |
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245 |
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246 // unary operations |
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247 |
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248 boolMatrix operator ! (void) const; |
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249 |
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250 // other operations |
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251 |
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252 Matrix map (d_d_Mapper f) const; |
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253 boolMatrix map (b_d_Mapper f) const; |
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254 |
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255 Matrix& apply (d_d_Mapper f); |
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256 |
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257 bool any_element_is_negative (bool = false) const; |
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258 bool any_element_is_inf_or_nan (void) const; |
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259 bool any_element_not_one_or_zero (void) const; |
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260 bool all_elements_are_int_or_inf_or_nan (void) const; |
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261 bool all_integers (double& max_val, double& min_val) const; |
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262 bool too_large_for_float (void) const; |
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263 |
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264 boolMatrix all (int dim = -1) const; |
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265 boolMatrix any (int dim = -1) const; |
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266 |
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267 Matrix cumprod (int dim = -1) const; |
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268 Matrix cumsum (int dim = -1) const; |
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269 Matrix prod (int dim = -1) const; |
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270 Matrix sum (int dim = -1) const; |
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271 Matrix sumsq (int dim = -1) const; |
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272 Matrix abs (void) const; |
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273 |
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274 ColumnVector diag (void) const; |
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275 ColumnVector diag (octave_idx_type k) const; |
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276 |
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277 ColumnVector row_min (void) const; |
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278 ColumnVector row_max (void) const; |
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279 |
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280 ColumnVector row_min (Array<octave_idx_type>& index) const; |
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281 ColumnVector row_max (Array<octave_idx_type>& index) const; |
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282 |
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283 RowVector column_min (void) const; |
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284 RowVector column_max (void) const; |
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285 |
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286 RowVector column_min (Array<octave_idx_type>& index) const; |
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287 RowVector column_max (Array<octave_idx_type>& index) const; |
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288 |
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289 // i/o |
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290 |
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291 friend OCTAVE_API std::ostream& operator << (std::ostream& os, const Matrix& a); |
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292 friend OCTAVE_API std::istream& operator >> (std::istream& is, Matrix& a); |
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293 |
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294 static double resize_fill_value (void) { return 0; } |
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295 |
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296 private: |
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297 |
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298 Matrix (double *d, octave_idx_type r, octave_idx_type c) : MArray2<double> (d, r, c) { } |
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299 }; |
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300 |
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301 // Publish externally used friend functions. |
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302 |
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303 extern OCTAVE_API Matrix real (const ComplexMatrix& a); |
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304 extern OCTAVE_API Matrix imag (const ComplexMatrix& a); |
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305 |
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306 // column vector by row vector -> matrix operations |
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307 |
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308 extern OCTAVE_API Matrix operator * (const ColumnVector& a, const RowVector& b); |
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309 |
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310 // Other functions. |
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311 |
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312 extern OCTAVE_API Matrix Givens (double, double); |
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313 |
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314 extern OCTAVE_API Matrix Sylvester (const Matrix&, const Matrix&, const Matrix&); |
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315 |
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316 extern OCTAVE_API Matrix operator * (const Matrix& a, const Matrix& b); |
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317 |
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318 extern OCTAVE_API Matrix min (double d, const Matrix& m); |
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319 extern OCTAVE_API Matrix min (const Matrix& m, double d); |
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320 extern OCTAVE_API Matrix min (const Matrix& a, const Matrix& b); |
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321 |
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322 extern OCTAVE_API Matrix max (double d, const Matrix& m); |
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323 extern OCTAVE_API Matrix max (const Matrix& m, double d); |
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324 extern OCTAVE_API Matrix max (const Matrix& a, const Matrix& b); |
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325 |
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326 MS_CMP_OP_DECLS (Matrix, double) |
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327 MS_BOOL_OP_DECLS (Matrix, double) |
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328 |
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329 SM_CMP_OP_DECLS (double, Matrix) |
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330 SM_BOOL_OP_DECLS (double, Matrix) |
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331 |
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332 MM_CMP_OP_DECLS (Matrix, Matrix) |
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333 MM_BOOL_OP_DECLS (Matrix, Matrix) |
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334 |
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335 MARRAY_FORWARD_DEFS (MArray2, Matrix, double) |
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336 |
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337 template <class T> |
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338 void read_int (std::istream& is, bool swap_bytes, T& val); |
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339 |
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340 #endif |
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341 |
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342 /* |
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343 ;;; Local Variables: *** |
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344 ;;; mode: C++ *** |
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345 ;;; End: *** |
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346 */ |
