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1 /* |
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3 Copyright (C) 1996 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 |
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35 #include "data-conv.h" |
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36 #include "mach-info.h" |
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37 |
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38 class Matrix : public MArray2<double> |
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39 { |
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40 friend class ComplexMatrix; |
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41 friend class AEPBAL; |
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42 friend class CHOL; |
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43 friend class GEPBAL; |
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44 friend class HESS; |
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45 friend class LU; |
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46 friend class QR; |
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47 friend class QRP; |
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48 friend class SCHUR; |
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49 friend class SVD; |
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50 |
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51 public: |
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52 |
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53 Matrix (void) : MArray2<double> () { } |
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54 Matrix (int r, int c) : MArray2<double> (r, c) { } |
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55 Matrix (int r, int c, double val) : MArray2<double> (r, c, val) { } |
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56 Matrix (const MArray2<double>& a) : MArray2<double> (a) { } |
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57 Matrix (const Matrix& a) : MArray2<double> (a) { } |
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58 Matrix (const RowVector& rv); |
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59 Matrix (const ColumnVector& cv); |
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60 // Matrix (const MDiagArray2<double>& a) : MArray2<double> (a) { } |
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61 Matrix (const DiagMatrix& a); |
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62 |
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63 Matrix (const charMatrix& a); |
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64 |
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65 Matrix& operator = (const Matrix& a) |
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66 { |
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67 MArray2<double>::operator = (a); |
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68 return *this; |
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69 } |
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70 |
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71 int operator == (const Matrix& a) const; |
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72 int operator != (const Matrix& a) const; |
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73 |
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74 // destructive insert/delete/reorder operations |
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75 |
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76 Matrix& insert (const Matrix& a, int r, int c); |
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77 Matrix& insert (const RowVector& a, int r, int c); |
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78 Matrix& insert (const ColumnVector& a, int r, int c); |
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79 Matrix& insert (const DiagMatrix& a, int r, int c); |
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80 |
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81 Matrix& fill (double val); |
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82 Matrix& fill (double val, int r1, int c1, int r2, int c2); |
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83 |
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84 Matrix append (const Matrix& a) const; |
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85 Matrix append (const RowVector& a) const; |
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86 Matrix append (const ColumnVector& a) const; |
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87 Matrix append (const DiagMatrix& a) const; |
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88 |
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89 Matrix stack (const Matrix& a) const; |
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90 Matrix stack (const RowVector& a) const; |
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91 Matrix stack (const ColumnVector& a) const; |
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92 Matrix stack (const DiagMatrix& a) const; |
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93 |
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94 Matrix transpose (void) const; |
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95 |
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96 friend Matrix real (const ComplexMatrix& a); |
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97 friend Matrix imag (const ComplexMatrix& a); |
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98 |
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99 // resize is the destructive equivalent for this one |
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100 |
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101 Matrix extract (int r1, int c1, int r2, int c2) 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 (int i) const; |
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106 RowVector row (char *s) const; |
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107 |
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108 ColumnVector column (int i) const; |
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109 ColumnVector column (char *s) const; |
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110 |
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111 Matrix inverse (void) const; |
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112 Matrix inverse (int& info) const; |
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113 Matrix inverse (int& info, double& rcond, int force = 0) const; |
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114 |
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115 Matrix pseudo_inverse (double tol = 0.0); |
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116 |
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117 ComplexMatrix fourier (void) const; |
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118 ComplexMatrix ifourier (void) const; |
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119 |
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120 ComplexMatrix fourier2d (void) const; |
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121 ComplexMatrix ifourier2d (void) const; |
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122 |
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123 DET determinant (void) const; |
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124 DET determinant (int& info) const; |
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125 DET determinant (int& info, double& rcond) const; |
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126 |
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127 Matrix solve (const Matrix& b) const; |
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128 Matrix solve (const Matrix& b, int& info) const; |
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129 Matrix solve (const Matrix& b, int& info, double& rcond) const; |
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130 |
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131 ComplexMatrix solve (const ComplexMatrix& b) const; |
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132 ComplexMatrix solve (const ComplexMatrix& b, int& info) const; |
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133 ComplexMatrix solve (const ComplexMatrix& b, int& info, double& rcond) const; |
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134 |
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135 ColumnVector solve (const ColumnVector& b) const; |
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136 ColumnVector solve (const ColumnVector& b, int& info) const; |
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137 ColumnVector solve (const ColumnVector& b, int& info, double& rcond) const; |
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138 |
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139 ComplexColumnVector solve (const ComplexColumnVector& b) const; |
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140 ComplexColumnVector solve (const ComplexColumnVector& b, int& info) const; |
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141 ComplexColumnVector solve (const ComplexColumnVector& b, int& info, |
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142 double& rcond) const; |
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143 |
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144 Matrix lssolve (const Matrix& b) const; |
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145 Matrix lssolve (const Matrix& b, int& info) const; |
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146 Matrix lssolve (const Matrix& b, int& info, int& rank) const; |
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147 |
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148 ComplexMatrix lssolve (const ComplexMatrix& b) const; |
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149 ComplexMatrix lssolve (const ComplexMatrix& b, int& info) const; |
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150 ComplexMatrix lssolve (const ComplexMatrix& b, int& info, |
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151 int& rank) const; |
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152 |
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153 ColumnVector lssolve (const ColumnVector& b) const; |
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154 ColumnVector lssolve (const ColumnVector& b, int& info) const; |
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155 ColumnVector lssolve (const ColumnVector& b, int& info, int& rank) const; |
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156 |
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157 ComplexColumnVector lssolve (const ComplexColumnVector& b) const; |
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158 ComplexColumnVector lssolve (const ComplexColumnVector& b, int& info) const; |
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159 ComplexColumnVector lssolve (const ComplexColumnVector& b, int& info, |
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160 int& rank) const; |
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161 |
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162 Matrix expm (void) const; |
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163 |
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164 Matrix& operator += (const Matrix& a); |
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165 Matrix& operator -= (const Matrix& a); |
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166 |
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167 Matrix& operator += (const DiagMatrix& a); |
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168 Matrix& operator -= (const DiagMatrix& a); |
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169 |
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170 // unary operations |
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171 |
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172 Matrix operator ! (void) const; |
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173 |
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174 // column vector by row vector -> matrix operations |
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175 |
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176 friend Matrix operator * (const ColumnVector& a, const RowVector& a); |
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177 |
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178 // diagonal matrix by scalar -> matrix operations |
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179 |
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180 friend Matrix operator + (const DiagMatrix& a, double s); |
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181 friend Matrix operator - (const DiagMatrix& a, double s); |
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182 |
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183 // scalar by diagonal matrix -> matrix operations |
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184 |
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185 friend Matrix operator + (double s, const DiagMatrix& a); |
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186 friend Matrix operator - (double s, const DiagMatrix& a); |
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187 |
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188 // matrix by diagonal matrix -> matrix operations |
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189 |
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190 friend Matrix operator + (const Matrix& a, const DiagMatrix& b); |
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191 friend Matrix operator - (const Matrix& a, const DiagMatrix& b); |
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192 friend Matrix operator * (const Matrix& a, const DiagMatrix& b); |
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193 |
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194 // diagonal matrix by matrix -> matrix operations |
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195 |
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196 friend Matrix operator + (const DiagMatrix& a, const Matrix& b); |
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197 friend Matrix operator - (const DiagMatrix& a, const Matrix& b); |
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198 friend Matrix operator * (const DiagMatrix& a, const Matrix& b); |
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199 |
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200 // matrix by matrix -> matrix operations |
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201 |
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202 friend Matrix operator * (const Matrix& a, const Matrix& b); |
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203 |
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204 // other operations |
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205 |
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206 friend Matrix map (d_d_Mapper f, const Matrix& a); |
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207 friend Matrix map (d_c_Mapper f, const ComplexMatrix& a); |
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208 void map (d_d_Mapper f); |
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209 |
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210 int all_integers (double& max_val, double& min_val) const; |
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211 int too_large_for_float (void) const; |
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212 |
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213 Matrix all (void) const; |
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214 Matrix any (void) const; |
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215 |
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216 Matrix cumprod (void) const; |
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217 Matrix cumsum (void) const; |
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218 Matrix prod (void) const; |
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219 Matrix sum (void) const; |
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220 Matrix sumsq (void) const; |
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221 |
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222 ColumnVector diag (void) const; |
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223 ColumnVector diag (int k) const; |
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224 |
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225 ColumnVector row_min (void) const; |
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226 ColumnVector row_min_loc (void) const; |
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227 |
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228 ColumnVector row_max (void) const; |
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229 ColumnVector row_max_loc (void) const; |
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230 |
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231 RowVector column_min (void) const; |
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232 RowVector column_min_loc (void) const; |
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233 |
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234 RowVector column_max (void) const; |
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235 RowVector column_max_loc (void) const; |
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236 |
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237 // i/o |
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238 |
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239 friend ostream& operator << (ostream& os, const Matrix& a); |
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240 friend istream& operator >> (istream& is, Matrix& a); |
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241 |
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242 int read (istream& is, int nr, int nc, oct_data_conv::data_type dt, |
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243 int skip, oct_mach_info::float_format flt_fmt); |
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244 |
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245 int write (ostream& os, oct_data_conv::data_type dt, int skip, |
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246 oct_mach_info::float_format flt_fmt); |
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247 |
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248 private: |
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249 |
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250 Matrix (double *d, int r, int c) : MArray2<double> (d, r, c) { } |
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251 }; |
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252 |
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253 extern Matrix Givens (double, double); |
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254 |
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255 extern Matrix Sylvester (const Matrix&, const Matrix&, const Matrix&); |
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256 |
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257 extern ComplexColumnVector Qzval (const Matrix& a, const Matrix& b); |
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258 |
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259 #endif |
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260 |
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261 /* |
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262 ;;; Local Variables: *** |
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263 ;;; mode: C++ *** |
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264 ;;; End: *** |
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265 */ |
