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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 ComplexMatrix : public MArray2<Complex> |
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37 { |
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38 public: |
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39 |
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40 typedef void (*solve_singularity_handler) (double rcond); |
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41 |
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42 ComplexMatrix (void) : MArray2<Complex> () { } |
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43 |
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44 ComplexMatrix (octave_idx_type r, octave_idx_type c) : MArray2<Complex> (r, c) { } |
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45 |
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46 ComplexMatrix (octave_idx_type r, octave_idx_type c, const Complex& val) |
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47 : MArray2<Complex> (r, c, val) { } |
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48 |
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49 ComplexMatrix (const ComplexMatrix& a) : MArray2<Complex> (a) { } |
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50 |
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51 ComplexMatrix (const MArray2<Complex>& a) : MArray2<Complex> (a) { } |
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52 |
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53 explicit ComplexMatrix (const Matrix& a); |
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54 |
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55 explicit ComplexMatrix (const RowVector& rv); |
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56 |
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57 explicit ComplexMatrix (const ColumnVector& cv); |
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58 |
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59 explicit ComplexMatrix (const DiagMatrix& a); |
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60 |
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61 explicit ComplexMatrix (const ComplexRowVector& rv); |
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62 |
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63 explicit ComplexMatrix (const ComplexColumnVector& cv); |
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64 |
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65 explicit ComplexMatrix (const ComplexDiagMatrix& a); |
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66 |
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67 explicit ComplexMatrix (const boolMatrix& a); |
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68 |
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69 explicit ComplexMatrix (const charMatrix& a); |
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70 |
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71 ComplexMatrix& operator = (const ComplexMatrix& a) |
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72 { |
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73 MArray2<Complex>::operator = (a); |
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74 return *this; |
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75 } |
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76 |
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77 bool operator == (const ComplexMatrix& a) const; |
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78 bool operator != (const ComplexMatrix& a) const; |
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79 |
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80 bool is_hermitian (void) const; |
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81 |
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82 // destructive insert/delete/reorder operations |
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83 |
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84 ComplexMatrix& insert (const Matrix& a, octave_idx_type r, octave_idx_type c); |
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85 ComplexMatrix& insert (const RowVector& a, octave_idx_type r, octave_idx_type c); |
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86 ComplexMatrix& insert (const ColumnVector& a, octave_idx_type r, octave_idx_type c); |
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87 ComplexMatrix& insert (const DiagMatrix& a, octave_idx_type r, octave_idx_type c); |
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88 |
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89 ComplexMatrix& insert (const ComplexMatrix& a, octave_idx_type r, octave_idx_type c); |
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90 ComplexMatrix& insert (const ComplexRowVector& a, octave_idx_type r, octave_idx_type c); |
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91 ComplexMatrix& insert (const ComplexColumnVector& a, octave_idx_type r, octave_idx_type c); |
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92 ComplexMatrix& insert (const ComplexDiagMatrix& a, octave_idx_type r, octave_idx_type c); |
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93 |
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94 ComplexMatrix& fill (double val); |
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95 ComplexMatrix& fill (const Complex& val); |
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96 ComplexMatrix& fill (double val, octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2); |
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97 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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98 |
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99 ComplexMatrix append (const Matrix& a) const; |
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100 ComplexMatrix append (const RowVector& a) const; |
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101 ComplexMatrix append (const ColumnVector& a) const; |
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102 ComplexMatrix append (const DiagMatrix& a) const; |
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103 |
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104 ComplexMatrix append (const ComplexMatrix& a) const; |
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105 ComplexMatrix append (const ComplexRowVector& a) const; |
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106 ComplexMatrix append (const ComplexColumnVector& a) const; |
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107 ComplexMatrix append (const ComplexDiagMatrix& a) const; |
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108 |
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109 ComplexMatrix stack (const Matrix& a) const; |
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110 ComplexMatrix stack (const RowVector& a) const; |
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111 ComplexMatrix stack (const ColumnVector& a) const; |
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112 ComplexMatrix stack (const DiagMatrix& a) const; |
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113 |
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114 ComplexMatrix stack (const ComplexMatrix& a) const; |
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115 ComplexMatrix stack (const ComplexRowVector& a) const; |
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116 ComplexMatrix stack (const ComplexColumnVector& a) const; |
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117 ComplexMatrix stack (const ComplexDiagMatrix& a) const; |
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118 |
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119 ComplexMatrix hermitian (void) const; // complex conjugate transpose |
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120 ComplexMatrix transpose (void) const |
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121 { return MArray2<Complex>::transpose (); } |
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122 |
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123 friend ComplexMatrix conj (const ComplexMatrix& a); |
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124 |
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125 // resize is the destructive equivalent for this one |
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126 |
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127 ComplexMatrix extract (octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2) const; |
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128 |
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129 ComplexMatrix extract_n (octave_idx_type r1, octave_idx_type c1, octave_idx_type nr, octave_idx_type nc) const; |
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130 |
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131 // extract row or column i. |
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132 |
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133 ComplexRowVector row (octave_idx_type i) const; |
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134 |
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135 ComplexColumnVector column (octave_idx_type i) const; |
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136 |
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137 ComplexMatrix inverse (void) const; |
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138 ComplexMatrix inverse (octave_idx_type& info) const; |
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139 ComplexMatrix inverse (octave_idx_type& info, double& rcond, int force = 0, |
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140 int calc_cond = 1) const; |
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141 |
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142 ComplexMatrix pseudo_inverse (double tol = 0.0) const; |
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143 |
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144 ComplexMatrix fourier (void) const; |
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145 ComplexMatrix ifourier (void) const; |
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146 |
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147 ComplexMatrix fourier2d (void) const; |
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148 ComplexMatrix ifourier2d (void) const; |
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149 |
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150 ComplexDET determinant (void) const; |
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151 ComplexDET determinant (octave_idx_type& info) const; |
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152 ComplexDET determinant (octave_idx_type& info, double& rcond, int calc_cond = 1) const; |
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153 |
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154 private: |
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155 // Upper triangular matrix solvers |
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156 ComplexMatrix utsolve (MatrixType &typ, const ComplexMatrix& b, |
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157 octave_idx_type& info, double& rcond, |
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158 solve_singularity_handler sing_handler, |
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159 bool calc_cond = false) const; |
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160 |
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161 // Lower triangular matrix solvers |
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162 ComplexMatrix ltsolve (MatrixType &typ, const ComplexMatrix& b, |
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163 octave_idx_type& info, double& rcond, |
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164 solve_singularity_handler sing_handler, |
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165 bool calc_cond = false) const; |
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166 |
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167 // Full matrix solvers (umfpack/cholesky) |
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168 ComplexMatrix fsolve (MatrixType &typ, const ComplexMatrix& b, |
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169 octave_idx_type& info, double& rcond, |
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170 solve_singularity_handler sing_handler, |
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171 bool calc_cond = false) const; |
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172 |
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173 public: |
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174 // Generic interface to solver with no probing of type |
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175 ComplexMatrix solve (MatrixType &typ, const Matrix& b) const; |
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176 ComplexMatrix solve (MatrixType &typ, const Matrix& b, |
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177 octave_idx_type& info) const; |
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178 ComplexMatrix solve (MatrixType &typ, const Matrix& b, |
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179 octave_idx_type& info, double& rcond) const; |
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180 ComplexMatrix solve (MatrixType &typ, const Matrix& b, octave_idx_type& info, |
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181 double& rcond, solve_singularity_handler sing_handler, |
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182 bool singular_fallback = true) const; |
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183 |
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184 ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b) const; |
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185 ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b, |
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186 octave_idx_type& info) const; |
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187 ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b, |
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188 octave_idx_type& info, double& rcond) const; |
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189 ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b, |
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190 octave_idx_type& info, double& rcond, |
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191 solve_singularity_handler sing_handler, |
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192 bool singular_fallback = true) const; |
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193 |
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194 ComplexColumnVector solve (MatrixType &typ, const ColumnVector& b) const; |
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195 ComplexColumnVector solve (MatrixType &typ, const ColumnVector& b, |
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196 octave_idx_type& info) const; |
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197 ComplexColumnVector solve (MatrixType &typ, const ColumnVector& b, |
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198 octave_idx_type& info, double& rcond) const; |
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199 ComplexColumnVector solve (MatrixType &typ, const ColumnVector& b, |
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200 octave_idx_type& info, double& rcond, |
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201 solve_singularity_handler sing_handler) const; |
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202 |
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203 ComplexColumnVector solve (MatrixType &typ, |
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204 const ComplexColumnVector& b) const; |
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205 ComplexColumnVector solve (MatrixType &typ, const ComplexColumnVector& b, |
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206 octave_idx_type& info) const; |
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207 ComplexColumnVector solve (MatrixType &typ, const ComplexColumnVector& b, |
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208 octave_idx_type& info, double& rcond) const; |
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209 ComplexColumnVector solve (MatrixType &typ, const ComplexColumnVector& b, |
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210 octave_idx_type& info, double& rcond, |
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211 solve_singularity_handler sing_handler) const; |
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212 |
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213 // Generic interface to solver with probing of type |
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214 ComplexMatrix solve (const Matrix& b) const; |
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215 ComplexMatrix solve (const Matrix& b, octave_idx_type& info) const; |
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216 ComplexMatrix solve (const Matrix& b, octave_idx_type& info, double& rcond) const; |
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217 ComplexMatrix solve (const Matrix& b, octave_idx_type& info, double& rcond, |
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218 solve_singularity_handler sing_handler) const; |
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219 |
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220 ComplexMatrix solve (const ComplexMatrix& b) const; |
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221 ComplexMatrix solve (const ComplexMatrix& b, octave_idx_type& info) const; |
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222 ComplexMatrix solve (const ComplexMatrix& b, octave_idx_type& info, double& rcond) const; |
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223 ComplexMatrix solve (const ComplexMatrix& b, octave_idx_type& info, double& rcond, |
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224 solve_singularity_handler sing_handler) const; |
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225 |
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226 ComplexColumnVector solve (const ColumnVector& b) const; |
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227 ComplexColumnVector solve (const ColumnVector& b, octave_idx_type& info) const; |
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228 ComplexColumnVector solve (const ColumnVector& b, octave_idx_type& info, |
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229 double& rcond) const; |
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230 ComplexColumnVector solve (const ColumnVector& b, octave_idx_type& info, double& rcond, |
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231 solve_singularity_handler sing_handler) const; |
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232 |
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233 ComplexColumnVector solve (const ComplexColumnVector& b) const; |
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234 ComplexColumnVector solve (const ComplexColumnVector& b, octave_idx_type& info) const; |
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235 ComplexColumnVector solve (const ComplexColumnVector& b, octave_idx_type& info, |
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236 double& rcond) const; |
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237 ComplexColumnVector solve (const ComplexColumnVector& b, octave_idx_type& info, |
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238 double& rcond, |
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239 solve_singularity_handler sing_handler) const; |
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240 |
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241 ComplexMatrix lssolve (const Matrix& b) const; |
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242 ComplexMatrix lssolve (const Matrix& b, octave_idx_type& info) const; |
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243 ComplexMatrix lssolve (const Matrix& b, octave_idx_type& info, octave_idx_type& rank) const; |
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244 |
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245 ComplexMatrix lssolve (const ComplexMatrix& b) const; |
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246 ComplexMatrix lssolve (const ComplexMatrix& b, octave_idx_type& info) const; |
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247 ComplexMatrix lssolve (const ComplexMatrix& b, octave_idx_type& info, |
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248 octave_idx_type& rank) const; |
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249 |
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250 ComplexColumnVector lssolve (const ColumnVector& b) const; |
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251 ComplexColumnVector lssolve (const ColumnVector& b, octave_idx_type& info) const; |
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252 ComplexColumnVector lssolve (const ColumnVector& b, octave_idx_type& info, |
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253 octave_idx_type& rank) const; |
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254 |
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255 ComplexColumnVector lssolve (const ComplexColumnVector& b) const; |
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256 ComplexColumnVector lssolve (const ComplexColumnVector& b, octave_idx_type& info) const; |
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257 ComplexColumnVector lssolve (const ComplexColumnVector& b, octave_idx_type& info, |
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258 octave_idx_type& rank) const; |
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259 |
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260 ComplexMatrix expm (void) const; |
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261 |
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262 // matrix by diagonal matrix -> matrix operations |
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263 |
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264 ComplexMatrix& operator += (const DiagMatrix& a); |
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265 ComplexMatrix& operator -= (const DiagMatrix& a); |
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266 |
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267 ComplexMatrix& operator += (const ComplexDiagMatrix& a); |
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268 ComplexMatrix& operator -= (const ComplexDiagMatrix& a); |
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269 |
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270 // matrix by matrix -> matrix operations |
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271 |
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272 ComplexMatrix& operator += (const Matrix& a); |
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273 ComplexMatrix& operator -= (const Matrix& a); |
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274 |
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275 // unary operations |
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276 |
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277 boolMatrix operator ! (void) const; |
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278 |
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279 // other operations |
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280 |
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281 ComplexMatrix map (c_c_Mapper f) const; |
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282 Matrix map (d_c_Mapper f) const; |
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283 boolMatrix map (b_c_Mapper f) const; |
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284 |
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285 ComplexMatrix& apply (c_c_Mapper f); |
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286 |
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287 bool any_element_is_inf_or_nan (void) const; |
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288 bool all_elements_are_real (void) const; |
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289 bool all_integers (double& max_val, double& min_val) const; |
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290 bool too_large_for_float (void) const; |
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291 |
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292 boolMatrix all (int dim = -1) const; |
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293 boolMatrix any (int dim = -1) const; |
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294 |
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295 ComplexMatrix cumprod (int dim = -1) const; |
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296 ComplexMatrix cumsum (int dim = -1) const; |
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297 ComplexMatrix prod (int dim = -1) const; |
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298 ComplexMatrix sum (int dim = -1) const; |
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299 ComplexMatrix sumsq (int dim = -1) const; |
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300 Matrix abs (void) const; |
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301 |
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302 ComplexColumnVector diag (void) const; |
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303 ComplexColumnVector diag (octave_idx_type k) const; |
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304 |
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305 bool row_is_real_only (octave_idx_type) const; |
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306 bool column_is_real_only (octave_idx_type) const; |
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307 |
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308 ComplexColumnVector row_min (void) const; |
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309 ComplexColumnVector row_max (void) const; |
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310 |
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311 ComplexColumnVector row_min (Array<octave_idx_type>& index) const; |
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312 ComplexColumnVector row_max (Array<octave_idx_type>& index) const; |
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313 |
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314 ComplexRowVector column_min (void) const; |
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315 ComplexRowVector column_max (void) const; |
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316 |
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317 ComplexRowVector column_min (Array<octave_idx_type>& index) const; |
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318 ComplexRowVector column_max (Array<octave_idx_type>& index) const; |
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319 |
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320 // i/o |
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321 |
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322 std::ostream& save_ascii (std::ostream& os, bool& infnan_warned, |
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323 int strip_nan_and_inf); |
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324 |
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325 friend std::ostream& operator << (std::ostream& os, const ComplexMatrix& a); |
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326 friend std::istream& operator >> (std::istream& is, ComplexMatrix& a); |
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327 |
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328 static Complex resize_fill_value (void) { return Complex (0.0, 0.0); } |
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329 |
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330 private: |
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331 |
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332 ComplexMatrix (Complex *d, octave_idx_type r, octave_idx_type c) : MArray2<Complex> (d, r, c) { } |
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333 }; |
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334 |
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335 // column vector by row vector -> matrix operations |
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336 |
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337 extern ComplexMatrix |
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338 operator * (const ColumnVector& a, const ComplexRowVector& b); |
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339 |
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340 extern ComplexMatrix |
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341 operator * (const ComplexColumnVector& a, const RowVector& b); |
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342 |
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343 extern ComplexMatrix |
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344 operator * (const ComplexColumnVector& a, const ComplexRowVector& b); |
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345 |
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346 extern ComplexMatrix |
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347 Givens (const Complex&, const Complex&); |
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348 |
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349 extern ComplexMatrix |
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350 Sylvester (const ComplexMatrix&, const ComplexMatrix&, const ComplexMatrix&); |
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351 |
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352 extern ComplexMatrix operator * (const Matrix&, const ComplexMatrix&); |
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353 extern ComplexMatrix operator * (const ComplexMatrix&, const Matrix&); |
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354 extern ComplexMatrix operator * (const ComplexMatrix&, const ComplexMatrix&); |
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355 |
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356 extern ComplexMatrix min (const Complex& c, const ComplexMatrix& m); |
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357 extern ComplexMatrix min (const ComplexMatrix& m, const Complex& c); |
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358 extern ComplexMatrix min (const ComplexMatrix& a, const ComplexMatrix& b); |
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359 |
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360 extern ComplexMatrix max (const Complex& c, const ComplexMatrix& m); |
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361 extern ComplexMatrix max (const ComplexMatrix& m, const Complex& c); |
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362 extern ComplexMatrix max (const ComplexMatrix& a, const ComplexMatrix& b); |
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363 |
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364 MS_CMP_OP_DECLS (ComplexMatrix, Complex) |
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365 MS_BOOL_OP_DECLS (ComplexMatrix, Complex) |
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366 |
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367 SM_CMP_OP_DECLS (Complex, ComplexMatrix) |
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368 SM_BOOL_OP_DECLS (Complex, ComplexMatrix) |
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369 |
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370 MM_CMP_OP_DECLS (ComplexMatrix, ComplexMatrix) |
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371 MM_BOOL_OP_DECLS (ComplexMatrix, ComplexMatrix) |
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372 |
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3573
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373 MARRAY_FORWARD_DEFS (MArray2, ComplexMatrix, Complex) |
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374 |
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458
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375 #endif |
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376 |
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377 /* |
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378 ;;; Local Variables: *** |
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379 ;;; mode: C++ *** |
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380 ;;; End: *** |
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381 */ |
