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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_ComplexMatrix_h) |
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25 #define octave_ComplexMatrix_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 #include "oct-cmplx.h" |
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34 |
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35 class |
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36 OCTAVE_API |
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37 ComplexMatrix : public MArray2<Complex> |
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38 { |
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39 public: |
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40 |
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41 typedef void (*solve_singularity_handler) (double rcond); |
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42 |
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43 ComplexMatrix (void) : MArray2<Complex> () { } |
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44 |
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45 ComplexMatrix (octave_idx_type r, octave_idx_type c) : MArray2<Complex> (r, c) { } |
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46 |
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47 ComplexMatrix (octave_idx_type r, octave_idx_type c, const Complex& val) |
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48 : MArray2<Complex> (r, c, val) { } |
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49 |
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50 ComplexMatrix (const ComplexMatrix& a) : MArray2<Complex> (a) { } |
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51 |
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52 ComplexMatrix (const MArray2<Complex>& a) : MArray2<Complex> (a) { } |
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53 |
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54 explicit ComplexMatrix (const Matrix& a); |
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55 |
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56 explicit ComplexMatrix (const RowVector& rv); |
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57 |
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58 explicit ComplexMatrix (const ColumnVector& cv); |
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59 |
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60 explicit ComplexMatrix (const DiagMatrix& a); |
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61 |
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62 explicit ComplexMatrix (const ComplexRowVector& rv); |
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63 |
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64 explicit ComplexMatrix (const ComplexColumnVector& cv); |
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65 |
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66 explicit ComplexMatrix (const ComplexDiagMatrix& a); |
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67 |
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68 explicit ComplexMatrix (const boolMatrix& a); |
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69 |
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70 explicit ComplexMatrix (const charMatrix& a); |
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71 |
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72 ComplexMatrix& operator = (const ComplexMatrix& a) |
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73 { |
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74 MArray2<Complex>::operator = (a); |
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75 return *this; |
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76 } |
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77 |
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78 bool operator == (const ComplexMatrix& a) const; |
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79 bool operator != (const ComplexMatrix& a) const; |
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80 |
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81 bool is_hermitian (void) const; |
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82 |
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83 // destructive insert/delete/reorder operations |
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84 |
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85 ComplexMatrix& insert (const Matrix& a, octave_idx_type r, octave_idx_type c); |
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86 ComplexMatrix& insert (const RowVector& a, octave_idx_type r, octave_idx_type c); |
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87 ComplexMatrix& insert (const ColumnVector& a, octave_idx_type r, octave_idx_type c); |
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88 ComplexMatrix& insert (const DiagMatrix& a, octave_idx_type r, octave_idx_type c); |
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89 |
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90 ComplexMatrix& insert (const ComplexMatrix& a, octave_idx_type r, octave_idx_type c); |
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91 ComplexMatrix& insert (const ComplexRowVector& a, octave_idx_type r, octave_idx_type c); |
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92 ComplexMatrix& insert (const ComplexColumnVector& a, octave_idx_type r, octave_idx_type c); |
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93 ComplexMatrix& insert (const ComplexDiagMatrix& a, octave_idx_type r, octave_idx_type c); |
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94 |
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95 ComplexMatrix& fill (double val); |
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96 ComplexMatrix& fill (const Complex& val); |
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97 ComplexMatrix& fill (double val, octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2); |
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98 ComplexMatrix& fill (const Complex& val, octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2); |
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99 |
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100 ComplexMatrix append (const Matrix& a) const; |
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101 ComplexMatrix append (const RowVector& a) const; |
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102 ComplexMatrix append (const ColumnVector& a) const; |
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103 ComplexMatrix append (const DiagMatrix& a) const; |
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104 |
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105 ComplexMatrix append (const ComplexMatrix& a) const; |
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106 ComplexMatrix append (const ComplexRowVector& a) const; |
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107 ComplexMatrix append (const ComplexColumnVector& a) const; |
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108 ComplexMatrix append (const ComplexDiagMatrix& a) const; |
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109 |
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110 ComplexMatrix stack (const Matrix& a) const; |
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111 ComplexMatrix stack (const RowVector& a) const; |
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112 ComplexMatrix stack (const ColumnVector& a) const; |
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113 ComplexMatrix stack (const DiagMatrix& a) const; |
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114 |
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115 ComplexMatrix stack (const ComplexMatrix& a) const; |
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116 ComplexMatrix stack (const ComplexRowVector& a) const; |
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117 ComplexMatrix stack (const ComplexColumnVector& a) const; |
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118 ComplexMatrix stack (const ComplexDiagMatrix& a) const; |
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119 |
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120 ComplexMatrix hermitian (void) const; // complex conjugate transpose |
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121 ComplexMatrix transpose (void) const |
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122 { return MArray2<Complex>::transpose (); } |
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123 |
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124 friend ComplexMatrix conj (const ComplexMatrix& a); |
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125 |
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126 // resize is the destructive equivalent for this one |
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127 |
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128 ComplexMatrix extract (octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2) const; |
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129 |
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130 ComplexMatrix extract_n (octave_idx_type r1, octave_idx_type c1, octave_idx_type nr, octave_idx_type nc) const; |
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131 |
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132 // extract row or column i. |
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133 |
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134 ComplexRowVector row (octave_idx_type i) const; |
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135 |
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136 ComplexColumnVector column (octave_idx_type i) const; |
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137 |
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138 private: |
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139 ComplexMatrix tinverse (MatrixType &mattype, octave_idx_type& info, |
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140 double& rcond, int force, int calc_cond) const; |
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141 |
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142 ComplexMatrix finverse (MatrixType &mattype, octave_idx_type& info, |
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143 double& rcond, int force, int calc_cond) const; |
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144 |
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145 public: |
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146 ComplexMatrix inverse (void) const; |
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147 ComplexMatrix inverse (MatrixType &mattype) const; |
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148 ComplexMatrix inverse (MatrixType &mattype, octave_idx_type& info) const; |
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149 ComplexMatrix inverse (MatrixType &mattype, octave_idx_type& info, |
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150 double& rcond, int force = 0, |
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151 int calc_cond = 1) const; |
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152 |
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153 ComplexMatrix pseudo_inverse (double tol = 0.0) const; |
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154 |
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155 ComplexMatrix fourier (void) const; |
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156 ComplexMatrix ifourier (void) const; |
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157 |
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158 ComplexMatrix fourier2d (void) const; |
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159 ComplexMatrix ifourier2d (void) const; |
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160 |
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161 ComplexDET determinant (void) const; |
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162 ComplexDET determinant (octave_idx_type& info) const; |
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163 ComplexDET determinant (octave_idx_type& info, double& rcond, int calc_cond = 1) const; |
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164 |
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165 private: |
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166 // Upper triangular matrix solvers |
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167 ComplexMatrix utsolve (MatrixType &typ, const ComplexMatrix& b, |
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168 octave_idx_type& info, double& rcond, |
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169 solve_singularity_handler sing_handler, |
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170 bool calc_cond = false) const; |
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171 |
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172 // Lower triangular matrix solvers |
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173 ComplexMatrix ltsolve (MatrixType &typ, const ComplexMatrix& b, |
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174 octave_idx_type& info, double& rcond, |
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175 solve_singularity_handler sing_handler, |
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176 bool calc_cond = false) const; |
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177 |
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178 // Full matrix solvers (umfpack/cholesky) |
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179 ComplexMatrix fsolve (MatrixType &typ, const ComplexMatrix& b, |
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180 octave_idx_type& info, double& rcond, |
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181 solve_singularity_handler sing_handler, |
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182 bool calc_cond = false) const; |
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183 |
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184 public: |
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185 // Generic interface to solver with no probing of type |
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186 ComplexMatrix solve (MatrixType &typ, const Matrix& b) const; |
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187 ComplexMatrix solve (MatrixType &typ, const Matrix& b, |
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188 octave_idx_type& info) const; |
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189 ComplexMatrix solve (MatrixType &typ, const Matrix& b, |
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190 octave_idx_type& info, double& rcond) const; |
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191 ComplexMatrix solve (MatrixType &typ, const Matrix& b, octave_idx_type& info, |
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192 double& rcond, solve_singularity_handler sing_handler, |
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193 bool singular_fallback = true) const; |
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194 |
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195 ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b) const; |
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196 ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b, |
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197 octave_idx_type& info) const; |
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198 ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b, |
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199 octave_idx_type& info, double& rcond) const; |
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200 ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b, |
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201 octave_idx_type& info, double& rcond, |
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202 solve_singularity_handler sing_handler, |
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203 bool singular_fallback = true) const; |
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204 |
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205 ComplexColumnVector solve (MatrixType &typ, const ColumnVector& b) const; |
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206 ComplexColumnVector solve (MatrixType &typ, const ColumnVector& b, |
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207 octave_idx_type& info) const; |
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208 ComplexColumnVector solve (MatrixType &typ, const ColumnVector& b, |
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209 octave_idx_type& info, double& rcond) const; |
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210 ComplexColumnVector solve (MatrixType &typ, const ColumnVector& b, |
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211 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 (MatrixType &typ, |
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215 const ComplexColumnVector& b) const; |
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216 ComplexColumnVector solve (MatrixType &typ, const ComplexColumnVector& b, |
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217 octave_idx_type& info) const; |
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218 ComplexColumnVector solve (MatrixType &typ, const ComplexColumnVector& b, |
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219 octave_idx_type& info, double& rcond) const; |
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220 ComplexColumnVector solve (MatrixType &typ, const ComplexColumnVector& b, |
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221 octave_idx_type& info, double& rcond, |
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222 solve_singularity_handler sing_handler) const; |
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223 |
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224 // Generic interface to solver with probing of type |
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225 ComplexMatrix solve (const Matrix& b) const; |
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226 ComplexMatrix solve (const Matrix& b, octave_idx_type& info) const; |
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227 ComplexMatrix solve (const Matrix& b, octave_idx_type& info, double& rcond) const; |
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228 ComplexMatrix solve (const Matrix& b, octave_idx_type& info, double& rcond, |
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229 solve_singularity_handler sing_handler) const; |
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230 |
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231 ComplexMatrix solve (const ComplexMatrix& b) const; |
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232 ComplexMatrix solve (const ComplexMatrix& b, octave_idx_type& info) const; |
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233 ComplexMatrix solve (const ComplexMatrix& b, octave_idx_type& info, double& rcond) const; |
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234 ComplexMatrix solve (const ComplexMatrix& b, octave_idx_type& info, double& rcond, |
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235 solve_singularity_handler sing_handler) const; |
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236 |
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237 ComplexColumnVector solve (const ColumnVector& b) const; |
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238 ComplexColumnVector solve (const ColumnVector& b, octave_idx_type& info) const; |
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239 ComplexColumnVector solve (const ColumnVector& b, octave_idx_type& info, |
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240 double& rcond) const; |
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241 ComplexColumnVector solve (const ColumnVector& b, octave_idx_type& info, double& rcond, |
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242 solve_singularity_handler sing_handler) const; |
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243 |
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244 ComplexColumnVector solve (const ComplexColumnVector& b) const; |
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245 ComplexColumnVector solve (const ComplexColumnVector& b, octave_idx_type& info) const; |
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246 ComplexColumnVector solve (const ComplexColumnVector& b, octave_idx_type& info, |
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247 double& rcond) const; |
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248 ComplexColumnVector solve (const ComplexColumnVector& b, octave_idx_type& info, |
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249 double& rcond, |
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250 solve_singularity_handler sing_handler) const; |
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251 |
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252 ComplexMatrix lssolve (const Matrix& b) const; |
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253 ComplexMatrix lssolve (const Matrix& b, octave_idx_type& info) const; |
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254 ComplexMatrix lssolve (const Matrix& b, octave_idx_type& info, octave_idx_type& rank) const; |
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255 |
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256 ComplexMatrix lssolve (const ComplexMatrix& b) const; |
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257 ComplexMatrix lssolve (const ComplexMatrix& b, octave_idx_type& info) const; |
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258 ComplexMatrix lssolve (const ComplexMatrix& b, octave_idx_type& info, |
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259 octave_idx_type& rank) const; |
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260 |
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261 ComplexColumnVector lssolve (const ColumnVector& b) const; |
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262 ComplexColumnVector lssolve (const ColumnVector& b, octave_idx_type& info) const; |
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263 ComplexColumnVector lssolve (const ColumnVector& b, octave_idx_type& info, |
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264 octave_idx_type& rank) const; |
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265 |
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266 ComplexColumnVector lssolve (const ComplexColumnVector& b) const; |
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267 ComplexColumnVector lssolve (const ComplexColumnVector& b, octave_idx_type& info) const; |
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268 ComplexColumnVector lssolve (const ComplexColumnVector& b, octave_idx_type& info, |
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269 octave_idx_type& rank) const; |
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270 |
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271 ComplexMatrix expm (void) const; |
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272 |
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273 // matrix by diagonal matrix -> matrix operations |
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274 |
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275 ComplexMatrix& operator += (const DiagMatrix& a); |
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276 ComplexMatrix& operator -= (const DiagMatrix& a); |
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277 |
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278 ComplexMatrix& operator += (const ComplexDiagMatrix& a); |
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279 ComplexMatrix& operator -= (const ComplexDiagMatrix& a); |
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280 |
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281 // matrix by matrix -> matrix operations |
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282 |
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283 ComplexMatrix& operator += (const Matrix& a); |
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284 ComplexMatrix& operator -= (const Matrix& a); |
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285 |
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286 // unary operations |
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287 |
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288 boolMatrix operator ! (void) const; |
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289 |
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290 // other operations |
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291 |
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292 ComplexMatrix map (c_c_Mapper f) const; |
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293 Matrix map (d_c_Mapper f) const; |
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294 boolMatrix map (b_c_Mapper f) const; |
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295 |
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296 ComplexMatrix& apply (c_c_Mapper f); |
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297 |
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298 bool any_element_is_inf_or_nan (void) const; |
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299 bool all_elements_are_real (void) const; |
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300 bool all_integers (double& max_val, double& min_val) const; |
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301 bool too_large_for_float (void) const; |
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302 |
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303 boolMatrix all (int dim = -1) const; |
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304 boolMatrix any (int dim = -1) const; |
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305 |
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306 ComplexMatrix cumprod (int dim = -1) const; |
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307 ComplexMatrix cumsum (int dim = -1) const; |
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308 ComplexMatrix prod (int dim = -1) const; |
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309 ComplexMatrix sum (int dim = -1) const; |
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310 ComplexMatrix sumsq (int dim = -1) const; |
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311 Matrix abs (void) const; |
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312 |
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313 ComplexColumnVector diag (void) const; |
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314 ComplexColumnVector diag (octave_idx_type k) const; |
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315 |
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316 bool row_is_real_only (octave_idx_type) const; |
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317 bool column_is_real_only (octave_idx_type) const; |
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318 |
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319 ComplexColumnVector row_min (void) const; |
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320 ComplexColumnVector row_max (void) const; |
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321 |
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322 ComplexColumnVector row_min (Array<octave_idx_type>& index) const; |
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323 ComplexColumnVector row_max (Array<octave_idx_type>& index) const; |
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324 |
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325 ComplexRowVector column_min (void) const; |
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326 ComplexRowVector column_max (void) const; |
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327 |
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328 ComplexRowVector column_min (Array<octave_idx_type>& index) const; |
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329 ComplexRowVector column_max (Array<octave_idx_type>& index) const; |
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330 |
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331 // i/o |
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332 |
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333 friend OCTAVE_API std::ostream& operator << (std::ostream& os, const ComplexMatrix& a); |
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334 friend OCTAVE_API std::istream& operator >> (std::istream& is, ComplexMatrix& a); |
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335 |
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336 static Complex resize_fill_value (void) { return Complex (0.0, 0.0); } |
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337 |
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338 private: |
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339 |
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340 ComplexMatrix (Complex *d, octave_idx_type r, octave_idx_type c) : MArray2<Complex> (d, r, c) { } |
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341 }; |
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342 |
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343 // column vector by row vector -> matrix operations |
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344 |
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345 extern OCTAVE_API ComplexMatrix |
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346 operator * (const ColumnVector& a, const ComplexRowVector& b); |
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347 |
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348 extern OCTAVE_API ComplexMatrix |
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349 operator * (const ComplexColumnVector& a, const RowVector& b); |
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350 |
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351 extern OCTAVE_API ComplexMatrix |
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352 operator * (const ComplexColumnVector& a, const ComplexRowVector& b); |
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353 |
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354 extern OCTAVE_API ComplexMatrix |
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355 Givens (const Complex&, const Complex&); |
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356 |
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357 extern OCTAVE_API ComplexMatrix |
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358 Sylvester (const ComplexMatrix&, const ComplexMatrix&, const ComplexMatrix&); |
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359 |
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360 extern OCTAVE_API ComplexMatrix operator * (const Matrix&, const ComplexMatrix&); |
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361 extern OCTAVE_API ComplexMatrix operator * (const ComplexMatrix&, const Matrix&); |
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362 extern OCTAVE_API ComplexMatrix operator * (const ComplexMatrix&, const ComplexMatrix&); |
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363 |
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364 extern OCTAVE_API ComplexMatrix min (const Complex& c, const ComplexMatrix& m); |
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365 extern OCTAVE_API ComplexMatrix min (const ComplexMatrix& m, const Complex& c); |
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366 extern OCTAVE_API ComplexMatrix min (const ComplexMatrix& a, const ComplexMatrix& b); |
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367 |
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6108
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368 extern OCTAVE_API ComplexMatrix max (const Complex& c, const ComplexMatrix& m); |
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369 extern OCTAVE_API ComplexMatrix max (const ComplexMatrix& m, const Complex& c); |
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370 extern OCTAVE_API ComplexMatrix max (const ComplexMatrix& a, const ComplexMatrix& b); |
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371 |
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2870
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372 MS_CMP_OP_DECLS (ComplexMatrix, Complex) |
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373 MS_BOOL_OP_DECLS (ComplexMatrix, Complex) |
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374 |
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375 SM_CMP_OP_DECLS (Complex, ComplexMatrix) |
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376 SM_BOOL_OP_DECLS (Complex, ComplexMatrix) |
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377 |
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378 MM_CMP_OP_DECLS (ComplexMatrix, ComplexMatrix) |
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379 MM_BOOL_OP_DECLS (ComplexMatrix, ComplexMatrix) |
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380 |
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3573
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381 MARRAY_FORWARD_DEFS (MArray2, ComplexMatrix, Complex) |
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382 |
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458
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383 #endif |
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384 |
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385 /* |
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386 ;;; Local Variables: *** |
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387 ;;; mode: C++ *** |
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388 ;;; End: *** |
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389 */ |
