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1 // -*- C++ -*- |
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2 /* |
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3 |
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4 Copyright (C) 1992, 1993, 1994 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, 675 Mass Ave, Cambridge, MA 02139, USA. |
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21 |
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22 */ |
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23 |
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24 #if !defined (octave_ComplexMatrix_h) |
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25 #define octave_ComplexMatrix_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 #include <Complex.h> |
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32 |
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33 #include "Array.h" |
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34 |
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35 #include "mx-defs.h" |
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36 |
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37 extern "C++" { |
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38 |
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39 class ComplexMatrix : public Array2<Complex> |
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40 { |
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532
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41 friend class ComplexCHOL; |
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42 friend class ComplexHESS; |
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43 friend class ComplexLU; |
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532
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44 friend class ComplexQR; |
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536
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45 friend class ComplexQRP; |
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532
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46 friend class ComplexSCHUR; |
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458
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47 friend class ComplexSVD; |
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532
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48 friend class ComplexColumnVector; |
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49 friend class Matrix; |
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50 |
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51 public: |
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52 |
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53 ComplexMatrix (void) : Array2<Complex> () { } |
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54 ComplexMatrix (int r, int c) : Array2<Complex> (r, c) { } |
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55 ComplexMatrix (int r, int c, const Complex& val) |
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56 : Array2<Complex> (r, c, val) { } |
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57 ComplexMatrix (const Matrix& a); |
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58 ComplexMatrix (const Array2<Complex>& a) : Array2<Complex> (a) { } |
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59 ComplexMatrix (const ComplexMatrix& a) : Array2<Complex> (a) { } |
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60 ComplexMatrix (const DiagMatrix& a); |
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61 ComplexMatrix (const DiagArray<Complex>& a) : Array2<Complex> (a) { } |
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62 ComplexMatrix (const ComplexDiagMatrix& a); |
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63 // ComplexMatrix (double a) : Array2<Complex> (1, 1, a) { } |
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64 // ComplexMatrix (const Complex& a) : Array2<Complex> (1, 1, a) { } |
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65 |
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66 ComplexMatrix& operator = (const ComplexMatrix& a) |
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67 { |
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68 Array2<Complex>::operator = (a); |
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69 return *this; |
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70 } |
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71 |
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72 // operator Array2<Complex>& () const { return *this; } |
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73 |
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74 int operator == (const ComplexMatrix& a) const; |
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75 int operator != (const ComplexMatrix& a) const; |
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76 |
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77 // destructive insert/delete/reorder operations |
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78 |
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79 ComplexMatrix& insert (const Matrix& a, int r, int c); |
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80 ComplexMatrix& insert (const RowVector& a, int r, int c); |
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81 ComplexMatrix& insert (const ColumnVector& a, int r, int c); |
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82 ComplexMatrix& insert (const DiagMatrix& a, int r, int c); |
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83 |
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84 ComplexMatrix& insert (const ComplexMatrix& a, int r, int c); |
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85 ComplexMatrix& insert (const ComplexRowVector& a, int r, int c); |
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86 ComplexMatrix& insert (const ComplexColumnVector& a, int r, int c); |
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87 ComplexMatrix& insert (const ComplexDiagMatrix& a, int r, int c); |
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88 |
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89 ComplexMatrix& fill (double val); |
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90 ComplexMatrix& fill (const Complex& val); |
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91 ComplexMatrix& fill (double val, int r1, int c1, int r2, int c2); |
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92 ComplexMatrix& fill (const Complex& val, int r1, int c1, int r2, int c2); |
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93 |
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94 ComplexMatrix append (const Matrix& a) const; |
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95 ComplexMatrix append (const RowVector& a) const; |
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96 ComplexMatrix append (const ColumnVector& a) const; |
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97 ComplexMatrix append (const DiagMatrix& a) const; |
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98 |
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99 ComplexMatrix append (const ComplexMatrix& a) const; |
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100 ComplexMatrix append (const ComplexRowVector& a) const; |
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101 ComplexMatrix append (const ComplexColumnVector& a) const; |
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102 ComplexMatrix append (const ComplexDiagMatrix& a) const; |
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103 |
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104 ComplexMatrix stack (const Matrix& a) const; |
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105 ComplexMatrix stack (const RowVector& a) const; |
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106 ComplexMatrix stack (const ColumnVector& a) const; |
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107 ComplexMatrix stack (const DiagMatrix& a) const; |
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108 |
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109 ComplexMatrix stack (const ComplexMatrix& a) const; |
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110 ComplexMatrix stack (const ComplexRowVector& a) const; |
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111 ComplexMatrix stack (const ComplexColumnVector& a) const; |
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112 ComplexMatrix stack (const ComplexDiagMatrix& a) const; |
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113 |
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114 ComplexMatrix hermitian (void) const; // complex conjugate transpose |
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115 ComplexMatrix transpose (void) const; |
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116 |
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117 friend Matrix real (const ComplexMatrix& a); |
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118 friend Matrix imag (const ComplexMatrix& a); |
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119 friend ComplexMatrix conj (const ComplexMatrix& a); |
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120 |
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121 // resize is the destructive equivalent for this one |
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122 |
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123 ComplexMatrix extract (int r1, int c1, int r2, int c2) const; |
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124 |
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125 // extract row or column i. |
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126 |
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127 ComplexRowVector row (int i) const; |
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128 ComplexRowVector row (char *s) const; |
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129 |
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130 ComplexColumnVector column (int i) const; |
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131 ComplexColumnVector column (char *s) const; |
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132 |
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133 ComplexMatrix inverse (void) const; |
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134 ComplexMatrix inverse (int& info) const; |
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135 ComplexMatrix inverse (int& info, double& rcond) const; |
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136 |
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137 ComplexMatrix pseudo_inverse (double tol = 0.0); |
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138 |
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139 ComplexMatrix fourier (void) const; |
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140 ComplexMatrix ifourier (void) const; |
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141 |
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142 ComplexMatrix fourier2d (void) const; |
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143 ComplexMatrix ifourier2d (void) const; |
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144 |
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145 ComplexDET determinant (void) const; |
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146 ComplexDET determinant (int& info) const; |
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147 ComplexDET determinant (int& info, double& rcond) const; |
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148 |
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149 ComplexMatrix solve (const Matrix& b) const; |
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150 ComplexMatrix solve (const Matrix& b, int& info) const; |
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151 ComplexMatrix solve (const Matrix& b, int& info, double& rcond) const; |
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152 |
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153 ComplexMatrix solve (const ComplexMatrix& b) const; |
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154 ComplexMatrix solve (const ComplexMatrix& b, int& info) const; |
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155 ComplexMatrix solve (const ComplexMatrix& b, int& info, double& rcond) const; |
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156 |
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157 ComplexColumnVector solve (const ComplexColumnVector& b) const; |
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158 ComplexColumnVector solve (const ComplexColumnVector& b, int& info) const; |
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159 ComplexColumnVector solve (const ComplexColumnVector& b, int& info, |
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160 double& rcond) const; |
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161 |
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162 ComplexMatrix lssolve (const ComplexMatrix& b) const; |
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163 ComplexMatrix lssolve (const ComplexMatrix& b, int& info) const; |
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164 ComplexMatrix lssolve (const ComplexMatrix& b, int& info, |
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165 int& rank) const; |
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166 |
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167 ComplexColumnVector lssolve (const ComplexColumnVector& b) const; |
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168 ComplexColumnVector lssolve (const ComplexColumnVector& b, int& info) const; |
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169 ComplexColumnVector lssolve (const ComplexColumnVector& b, int& info, |
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170 int& rank) const; |
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171 |
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172 // matrix by diagonal matrix -> matrix operations |
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173 |
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174 ComplexMatrix& operator += (const DiagMatrix& a); |
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175 ComplexMatrix& operator -= (const DiagMatrix& a); |
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176 |
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177 ComplexMatrix& operator += (const ComplexDiagMatrix& a); |
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178 ComplexMatrix& operator -= (const ComplexDiagMatrix& a); |
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179 |
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180 // matrix by matrix -> matrix operations |
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181 |
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182 ComplexMatrix& operator += (const Matrix& a); |
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183 ComplexMatrix& operator -= (const Matrix& a); |
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184 |
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185 ComplexMatrix& operator += (const ComplexMatrix& a); |
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186 ComplexMatrix& operator -= (const ComplexMatrix& a); |
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187 |
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188 // unary operations |
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189 |
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190 Matrix operator ! (void) const; |
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191 |
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192 // matrix by scalar -> matrix operations |
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193 |
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194 friend ComplexMatrix operator + (const ComplexMatrix& a, double s); |
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195 friend ComplexMatrix operator - (const ComplexMatrix& a, double s); |
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196 friend ComplexMatrix operator * (const ComplexMatrix& a, double s); |
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197 friend ComplexMatrix operator / (const ComplexMatrix& a, double s); |
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198 |
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199 // scalar by matrix -> matrix operations |
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200 |
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201 friend ComplexMatrix operator + (double s, const ComplexMatrix& a); |
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202 friend ComplexMatrix operator - (double s, const ComplexMatrix& a); |
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203 friend ComplexMatrix operator * (double s, const ComplexMatrix& a); |
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204 friend ComplexMatrix operator / (double s, const ComplexMatrix& a); |
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205 |
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206 // matrix by column vector -> column vector operations |
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207 |
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208 friend ComplexColumnVector operator * (const ComplexMatrix& a, |
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209 const ColumnVector& b); |
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210 |
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211 friend ComplexColumnVector operator * (const ComplexMatrix& a, |
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212 const ComplexColumnVector& b); |
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213 |
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214 // matrix by diagonal matrix -> matrix operations |
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215 |
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216 friend ComplexMatrix operator + (const ComplexMatrix& a, |
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217 const DiagMatrix& b); |
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218 friend ComplexMatrix operator - (const ComplexMatrix& a, |
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219 const DiagMatrix& b); |
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220 friend ComplexMatrix operator * (const ComplexMatrix& a, |
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221 const DiagMatrix& b); |
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222 |
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223 friend ComplexMatrix operator + (const ComplexMatrix& a, |
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224 const ComplexDiagMatrix& b); |
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225 friend ComplexMatrix operator - (const ComplexMatrix& a, |
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226 const ComplexDiagMatrix& b); |
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227 friend ComplexMatrix operator * (const ComplexMatrix& a, |
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228 const ComplexDiagMatrix& b); |
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229 |
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230 // matrix by matrix -> matrix operations |
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231 |
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232 friend ComplexMatrix operator + (const ComplexMatrix& a, const Matrix& b); |
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233 friend ComplexMatrix operator - (const ComplexMatrix& a, const Matrix& b); |
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234 |
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235 friend ComplexMatrix operator * (const ComplexMatrix& a, const Matrix& b); |
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236 friend ComplexMatrix operator * (const ComplexMatrix& a, |
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237 const ComplexMatrix& b); |
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238 |
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239 friend ComplexMatrix product (const ComplexMatrix& a, const Matrix& b); |
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240 friend ComplexMatrix quotient (const ComplexMatrix& a, const Matrix& b); |
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241 |
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242 // other operations |
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243 |
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244 friend ComplexMatrix map (c_c_Mapper f, const ComplexMatrix& a); |
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245 friend Matrix map (d_c_Mapper f, const ComplexMatrix& a); |
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246 void map (c_c_Mapper f); |
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247 |
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248 Matrix all (void) const; |
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249 Matrix any (void) const; |
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250 |
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251 ComplexMatrix cumprod (void) const; |
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252 ComplexMatrix cumsum (void) const; |
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253 ComplexMatrix prod (void) const; |
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254 ComplexMatrix sum (void) const; |
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255 ComplexMatrix sumsq (void) const; |
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256 |
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257 ComplexColumnVector diag (void) const; |
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258 ComplexColumnVector diag (int k) const; |
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259 |
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260 ComplexColumnVector row_min (void) const; |
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261 ComplexColumnVector row_min_loc (void) const; |
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262 |
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263 ComplexColumnVector row_max (void) const; |
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264 ComplexColumnVector row_max_loc (void) const; |
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265 |
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266 ComplexRowVector column_min (void) const; |
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267 ComplexRowVector column_min_loc (void) const; |
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268 |
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269 ComplexRowVector column_max (void) const; |
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270 ComplexRowVector column_max_loc (void) const; |
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271 |
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272 // i/o |
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273 |
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274 friend ostream& operator << (ostream& os, const ComplexMatrix& a); |
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275 friend istream& operator >> (istream& is, ComplexMatrix& a); |
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276 |
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277 #define KLUDGE_MATRICES |
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278 #define TYPE Complex |
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279 #define KL_MAT_TYPE ComplexMatrix |
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280 #include "mx-kludge.h" |
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281 #undef KLUDGE_MATRICES |
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282 #undef TYPE |
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283 #undef KL_MAT_TYPE |
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284 |
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285 private: |
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286 |
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287 ComplexMatrix (Complex *d, int r, int c) : Array2<Complex> (d, r, c) { } |
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288 }; |
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289 |
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290 } // extern "C++" |
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291 |
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292 #endif |
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293 |
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294 /* |
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295 ;;; Local Variables: *** |
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296 ;;; mode: C++ *** |
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297 ;;; page-delimiter: "^/\\*" *** |
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298 ;;; End: *** |
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299 */ |
