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1 // -*- C++ -*- |
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2 /* |
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3 |
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4 Copyright (C) 1996 John W. Eaton |
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5 |
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6 This file is part of Octave. |
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7 |
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8 Octave is free software; you can redistribute it and/or modify it |
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9 under the terms of the GNU General Public License as published by the |
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10 Free Software Foundation; either version 2, or (at your option) any |
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11 later version. |
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12 |
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13 Octave is distributed in the hope that it will be useful, but WITHOUT |
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14 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or |
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15 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License |
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16 for more details. |
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17 |
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18 You should have received a copy of the GNU General Public License |
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19 along with Octave; see the file COPYING. If not, write to the Free |
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20 Software Foundation, 59 Temple Place - Suite 330, Boston, MA 02111-1307, 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 #if defined (__GNUG__) |
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28 #pragma interface |
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29 #endif |
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30 |
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31 // For FILE... |
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32 #include <cstdio> |
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33 |
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34 #include "MArray2.h" |
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35 #include "MDiagArray2.h" |
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36 |
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37 #include "mx-defs.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 friend class ComplexMatrix; |
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42 friend class AEPBAL; |
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43 friend class CHOL; |
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44 friend class GEPBAL; |
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45 friend class HESS; |
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46 friend class LU; |
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47 friend class QR; |
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48 friend class QRP; |
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49 friend class SCHUR; |
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50 friend class SVD; |
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51 |
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52 public: |
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53 |
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54 Matrix (void) : MArray2<double> () { } |
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55 Matrix (int r, int c) : MArray2<double> (r, c) { } |
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56 Matrix (int r, int c, double val) : MArray2<double> (r, c, val) { } |
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57 Matrix (const MArray2<double>& a) : MArray2<double> (a) { } |
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58 Matrix (const Matrix& a) : MArray2<double> (a) { } |
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59 // Matrix (const MDiagArray2<double>& a) : MArray2<double> (a) { } |
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60 Matrix (const DiagMatrix& a); |
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61 |
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62 Matrix (const charMatrix& a); |
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63 |
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64 Matrix& operator = (const Matrix& a) |
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65 { |
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66 MArray2<double>::operator = (a); |
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67 return *this; |
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68 } |
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69 |
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70 int operator == (const Matrix& a) const; |
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71 int operator != (const Matrix& a) 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, int r, int c); |
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76 Matrix& insert (const RowVector& a, int r, int c); |
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77 Matrix& insert (const ColumnVector& a, int r, int c); |
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78 Matrix& insert (const DiagMatrix& a, int r, int c); |
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79 |
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80 Matrix& fill (double val); |
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81 Matrix& fill (double val, int r1, int c1, int r2, int 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 Matrix transpose (void) const; |
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94 |
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95 friend Matrix real (const ComplexMatrix& a); |
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96 friend Matrix imag (const ComplexMatrix& a); |
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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 (int r1, int c1, int r2, int c2) const; |
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101 |
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102 // extract row or column i. |
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103 |
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104 RowVector row (int i) const; |
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105 RowVector row (char *s) const; |
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106 |
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107 ColumnVector column (int i) const; |
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108 ColumnVector column (char *s) const; |
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109 |
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110 Matrix inverse (void) const; |
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111 Matrix inverse (int& info) const; |
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112 Matrix inverse (int& info, double& rcond, int force = 0) const; |
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113 |
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114 Matrix pseudo_inverse (double tol = 0.0); |
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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 (int& info) const; |
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124 DET determinant (int& info, double& rcond) const; |
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125 |
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126 Matrix solve (const Matrix& b) const; |
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127 Matrix solve (const Matrix& b, int& info) const; |
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128 Matrix solve (const Matrix& b, int& info, double& rcond) const; |
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129 |
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130 ComplexMatrix solve (const ComplexMatrix& b) const; |
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131 ComplexMatrix solve (const ComplexMatrix& b, int& info) const; |
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132 ComplexMatrix solve (const ComplexMatrix& b, int& info, double& rcond) 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 |
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138 ComplexColumnVector solve (const ComplexColumnVector& b) const; |
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139 ComplexColumnVector solve (const ComplexColumnVector& b, int& info) const; |
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140 ComplexColumnVector solve (const ComplexColumnVector& b, int& info, |
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141 double& rcond) const; |
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142 |
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143 Matrix lssolve (const Matrix& b) const; |
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144 Matrix lssolve (const Matrix& b, int& info) const; |
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145 Matrix lssolve (const Matrix& b, int& info, int& rank) const; |
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146 |
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147 ComplexMatrix lssolve (const ComplexMatrix& b) const; |
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148 ComplexMatrix lssolve (const ComplexMatrix& b, int& info) const; |
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149 ComplexMatrix lssolve (const ComplexMatrix& b, int& info, |
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150 int& rank) const; |
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151 |
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152 ColumnVector lssolve (const ColumnVector& b) const; |
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153 ColumnVector lssolve (const ColumnVector& b, int& info) const; |
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154 ColumnVector lssolve (const ColumnVector& b, int& info, int& rank) const; |
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155 |
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156 ComplexColumnVector lssolve (const ComplexColumnVector& b) const; |
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157 ComplexColumnVector lssolve (const ComplexColumnVector& b, int& info) const; |
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158 ComplexColumnVector lssolve (const ComplexColumnVector& b, int& info, |
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159 int& rank) const; |
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160 |
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161 Matrix expm (void) const; |
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162 |
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163 Matrix& operator += (const Matrix& a); |
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164 Matrix& operator -= (const Matrix& a); |
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165 |
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166 Matrix& operator += (const DiagMatrix& a); |
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167 Matrix& operator -= (const DiagMatrix& a); |
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168 |
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169 // unary operations |
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170 |
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171 Matrix operator ! (void) const; |
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172 |
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173 // column vector by row vector -> matrix operations |
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174 |
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175 friend Matrix operator * (const ColumnVector& a, const RowVector& a); |
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176 |
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177 // diagonal matrix by scalar -> matrix operations |
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178 |
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179 friend Matrix operator + (const DiagMatrix& a, double s); |
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180 friend Matrix operator - (const DiagMatrix& a, double s); |
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181 |
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182 // scalar by diagonal matrix -> matrix operations |
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183 |
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184 friend Matrix operator + (double s, const DiagMatrix& a); |
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185 friend Matrix operator - (double s, const DiagMatrix& a); |
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186 |
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187 // matrix by diagonal matrix -> matrix operations |
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188 |
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189 friend Matrix operator + (const Matrix& a, const DiagMatrix& b); |
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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 |
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193 // diagonal matrix by matrix -> matrix operations |
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194 |
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195 friend Matrix operator + (const DiagMatrix& a, const Matrix& b); |
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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 |
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199 // matrix by matrix -> matrix operations |
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200 |
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201 friend Matrix operator * (const Matrix& a, const Matrix& b); |
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202 |
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203 // other operations |
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204 |
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205 friend Matrix map (d_d_Mapper f, const Matrix& a); |
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206 friend Matrix map (d_c_Mapper f, const ComplexMatrix& a); |
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207 void map (d_d_Mapper f); |
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208 |
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209 int all_integers (double& max_val, double& min_val) const; |
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210 int too_large_for_float (void) const; |
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211 |
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212 Matrix all (void) const; |
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213 Matrix any (void) const; |
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214 |
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215 Matrix cumprod (void) const; |
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216 Matrix cumsum (void) const; |
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217 Matrix prod (void) const; |
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218 Matrix sum (void) const; |
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219 Matrix sumsq (void) const; |
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220 |
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221 ColumnVector diag (void) const; |
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222 ColumnVector diag (int k) const; |
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223 |
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224 ColumnVector row_min (void) const; |
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225 ColumnVector row_min_loc (void) const; |
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226 |
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227 ColumnVector row_max (void) const; |
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228 ColumnVector row_max_loc (void) const; |
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229 |
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230 RowVector column_min (void) const; |
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231 RowVector column_min_loc (void) const; |
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232 |
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233 RowVector column_max (void) const; |
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234 RowVector column_max_loc (void) const; |
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235 |
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236 // i/o |
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237 |
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238 friend ostream& operator << (ostream& os, const Matrix& a); |
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239 friend istream& operator >> (istream& is, Matrix& a); |
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240 |
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241 int read (FILE *fptr, const char *type); |
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242 int write (FILE *fptr, const char *type); |
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243 |
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244 private: |
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245 |
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246 Matrix (double *d, int r, int c) : MArray2<double> (d, r, c) { } |
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247 }; |
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248 |
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249 extern Matrix Givens (double, double); |
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250 |
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251 extern Matrix Sylvester (const Matrix&, const Matrix&, const Matrix&); |
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252 |
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253 extern ComplexColumnVector Qzval (const Matrix& a, const Matrix& b); |
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254 |
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255 #endif |
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256 |
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257 /* |
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258 ;;; Local Variables: *** |
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259 ;;; mode: C++ *** |
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260 ;;; page-delimiter: "^/\\*" *** |
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261 ;;; End: *** |
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262 */ |
