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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 |
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30 #include "mx-defs.h" |
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31 #include "mx-op-defs.h" |
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32 #include "oct-cmplx.h" |
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33 |
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34 class |
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35 ComplexMatrix : public MArray2<Complex> |
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36 { |
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37 public: |
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38 |
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39 typedef void (*solve_singularity_handler) (double rcond); |
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40 |
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41 ComplexMatrix (void) : MArray2<Complex> () { } |
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42 |
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43 ComplexMatrix (octave_idx_type r, octave_idx_type c) : MArray2<Complex> (r, c) { } |
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44 |
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45 ComplexMatrix (octave_idx_type r, octave_idx_type c, const Complex& val) |
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46 : MArray2<Complex> (r, c, val) { } |
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47 |
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48 ComplexMatrix (const ComplexMatrix& a) : MArray2<Complex> (a) { } |
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49 |
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50 ComplexMatrix (const MArray2<Complex>& a) : MArray2<Complex> (a) { } |
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51 |
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52 explicit ComplexMatrix (const Matrix& a); |
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53 |
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54 explicit ComplexMatrix (const RowVector& rv); |
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55 |
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56 explicit ComplexMatrix (const ColumnVector& cv); |
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57 |
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58 explicit ComplexMatrix (const DiagMatrix& a); |
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59 |
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60 explicit ComplexMatrix (const ComplexRowVector& rv); |
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61 |
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62 explicit ComplexMatrix (const ComplexColumnVector& cv); |
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63 |
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64 explicit ComplexMatrix (const ComplexDiagMatrix& a); |
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65 |
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66 explicit ComplexMatrix (const boolMatrix& a); |
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67 |
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68 explicit ComplexMatrix (const charMatrix& a); |
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69 |
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70 ComplexMatrix& operator = (const ComplexMatrix& a) |
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71 { |
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72 MArray2<Complex>::operator = (a); |
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73 return *this; |
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74 } |
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75 |
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76 bool operator == (const ComplexMatrix& a) const; |
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77 bool operator != (const ComplexMatrix& a) const; |
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78 |
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79 bool is_hermitian (void) const; |
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80 |
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81 // destructive insert/delete/reorder operations |
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82 |
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83 ComplexMatrix& insert (const Matrix& a, octave_idx_type r, octave_idx_type c); |
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84 ComplexMatrix& insert (const RowVector& a, octave_idx_type r, octave_idx_type c); |
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85 ComplexMatrix& insert (const ColumnVector& a, octave_idx_type r, octave_idx_type c); |
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86 ComplexMatrix& insert (const DiagMatrix& a, octave_idx_type r, octave_idx_type c); |
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87 |
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88 ComplexMatrix& insert (const ComplexMatrix& a, octave_idx_type r, octave_idx_type c); |
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89 ComplexMatrix& insert (const ComplexRowVector& a, octave_idx_type r, octave_idx_type c); |
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90 ComplexMatrix& insert (const ComplexColumnVector& a, octave_idx_type r, octave_idx_type c); |
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91 ComplexMatrix& insert (const ComplexDiagMatrix& a, octave_idx_type r, octave_idx_type c); |
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92 |
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93 ComplexMatrix& fill (double val); |
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94 ComplexMatrix& fill (const Complex& val); |
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95 ComplexMatrix& fill (double val, octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2); |
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96 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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97 |
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98 ComplexMatrix append (const Matrix& a) const; |
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99 ComplexMatrix append (const RowVector& a) const; |
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100 ComplexMatrix append (const ColumnVector& a) const; |
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101 ComplexMatrix append (const DiagMatrix& a) const; |
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102 |
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103 ComplexMatrix append (const ComplexMatrix& a) const; |
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104 ComplexMatrix append (const ComplexRowVector& a) const; |
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105 ComplexMatrix append (const ComplexColumnVector& a) const; |
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106 ComplexMatrix append (const ComplexDiagMatrix& a) const; |
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107 |
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108 ComplexMatrix stack (const Matrix& a) const; |
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109 ComplexMatrix stack (const RowVector& a) const; |
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110 ComplexMatrix stack (const ColumnVector& a) const; |
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111 ComplexMatrix stack (const DiagMatrix& a) const; |
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112 |
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113 ComplexMatrix stack (const ComplexMatrix& a) const; |
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114 ComplexMatrix stack (const ComplexRowVector& a) const; |
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115 ComplexMatrix stack (const ComplexColumnVector& a) const; |
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116 ComplexMatrix stack (const ComplexDiagMatrix& a) const; |
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117 |
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118 ComplexMatrix hermitian (void) const; // complex conjugate transpose |
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119 ComplexMatrix transpose (void) const |
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120 { return MArray2<Complex>::transpose (); } |
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121 |
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122 friend ComplexMatrix conj (const ComplexMatrix& a); |
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123 |
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124 // resize is the destructive equivalent for this one |
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125 |
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126 ComplexMatrix extract (octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2) const; |
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127 |
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128 ComplexMatrix extract_n (octave_idx_type r1, octave_idx_type c1, octave_idx_type nr, octave_idx_type nc) const; |
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129 |
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130 // extract row or column i. |
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131 |
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132 ComplexRowVector row (octave_idx_type i) const; |
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133 |
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134 ComplexColumnVector column (octave_idx_type i) const; |
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135 |
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136 ComplexMatrix inverse (void) const; |
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137 ComplexMatrix inverse (octave_idx_type& info) const; |
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138 ComplexMatrix inverse (octave_idx_type& info, double& rcond, int force = 0, |
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139 int calc_cond = 1) const; |
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140 |
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141 ComplexMatrix pseudo_inverse (double tol = 0.0) const; |
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142 |
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143 ComplexMatrix fourier (void) const; |
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144 ComplexMatrix ifourier (void) const; |
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145 |
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146 ComplexMatrix fourier2d (void) const; |
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147 ComplexMatrix ifourier2d (void) const; |
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148 |
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149 ComplexDET determinant (void) const; |
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150 ComplexDET determinant (octave_idx_type& info) const; |
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151 ComplexDET determinant (octave_idx_type& info, double& rcond, int calc_cond = 1) const; |
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152 |
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153 ComplexMatrix solve (const Matrix& b) const; |
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154 ComplexMatrix solve (const Matrix& b, octave_idx_type& info) const; |
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155 ComplexMatrix solve (const Matrix& b, octave_idx_type& info, double& rcond) const; |
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156 ComplexMatrix solve (const Matrix& b, octave_idx_type& info, double& rcond, |
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157 solve_singularity_handler sing_handler) const; |
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158 |
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159 ComplexMatrix solve (const ComplexMatrix& b) const; |
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160 ComplexMatrix solve (const ComplexMatrix& b, octave_idx_type& info) const; |
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161 ComplexMatrix solve (const ComplexMatrix& b, octave_idx_type& info, double& rcond) const; |
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162 ComplexMatrix solve (const ComplexMatrix& b, octave_idx_type& info, double& rcond, |
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163 solve_singularity_handler sing_handler) const; |
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164 |
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165 ComplexColumnVector solve (const ColumnVector& b) const; |
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166 ComplexColumnVector solve (const ColumnVector& b, octave_idx_type& info) const; |
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167 ComplexColumnVector solve (const ColumnVector& b, octave_idx_type& info, |
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168 double& rcond) const; |
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169 ComplexColumnVector solve (const ColumnVector& b, octave_idx_type& info, double& rcond, |
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170 solve_singularity_handler sing_handler) const; |
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171 |
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172 ComplexColumnVector solve (const ComplexColumnVector& b) const; |
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173 ComplexColumnVector solve (const ComplexColumnVector& b, octave_idx_type& info) const; |
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174 ComplexColumnVector solve (const ComplexColumnVector& b, octave_idx_type& info, |
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175 double& rcond) const; |
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176 ComplexColumnVector solve (const ComplexColumnVector& b, octave_idx_type& info, |
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177 double& rcond, |
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178 solve_singularity_handler sing_handler) const; |
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179 |
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180 ComplexMatrix lssolve (const Matrix& b) const; |
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181 ComplexMatrix lssolve (const Matrix& b, octave_idx_type& info) const; |
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182 ComplexMatrix lssolve (const Matrix& b, octave_idx_type& info, octave_idx_type& rank) const; |
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183 |
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184 ComplexMatrix lssolve (const ComplexMatrix& b) const; |
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185 ComplexMatrix lssolve (const ComplexMatrix& b, octave_idx_type& info) const; |
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186 ComplexMatrix lssolve (const ComplexMatrix& b, octave_idx_type& info, |
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187 octave_idx_type& rank) const; |
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188 |
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189 ComplexColumnVector lssolve (const ColumnVector& b) const; |
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190 ComplexColumnVector lssolve (const ColumnVector& b, octave_idx_type& info) const; |
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191 ComplexColumnVector lssolve (const ColumnVector& b, octave_idx_type& info, |
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192 octave_idx_type& rank) const; |
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193 |
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194 ComplexColumnVector lssolve (const ComplexColumnVector& b) const; |
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195 ComplexColumnVector lssolve (const ComplexColumnVector& b, octave_idx_type& info) const; |
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196 ComplexColumnVector lssolve (const ComplexColumnVector& b, octave_idx_type& info, |
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197 octave_idx_type& rank) const; |
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198 |
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199 ComplexMatrix expm (void) const; |
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200 |
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201 // matrix by diagonal matrix -> matrix operations |
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202 |
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203 ComplexMatrix& operator += (const DiagMatrix& a); |
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204 ComplexMatrix& operator -= (const DiagMatrix& a); |
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205 |
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206 ComplexMatrix& operator += (const ComplexDiagMatrix& a); |
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207 ComplexMatrix& operator -= (const ComplexDiagMatrix& a); |
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208 |
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209 // matrix by matrix -> matrix operations |
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210 |
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211 ComplexMatrix& operator += (const Matrix& a); |
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212 ComplexMatrix& operator -= (const Matrix& a); |
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213 |
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214 // unary operations |
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215 |
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216 boolMatrix operator ! (void) const; |
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217 |
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218 // other operations |
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219 |
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220 ComplexMatrix map (c_c_Mapper f) const; |
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221 Matrix map (d_c_Mapper f) const; |
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222 boolMatrix map (b_c_Mapper f) const; |
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223 |
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224 ComplexMatrix& apply (c_c_Mapper f); |
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225 |
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226 bool any_element_is_inf_or_nan (void) const; |
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227 bool all_elements_are_real (void) const; |
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228 bool all_integers (double& max_val, double& min_val) const; |
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229 bool too_large_for_float (void) const; |
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230 |
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231 boolMatrix all (int dim = -1) const; |
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232 boolMatrix any (int dim = -1) const; |
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233 |
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234 ComplexMatrix cumprod (int dim = -1) const; |
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235 ComplexMatrix cumsum (int dim = -1) const; |
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236 ComplexMatrix prod (int dim = -1) const; |
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237 ComplexMatrix sum (int dim = -1) const; |
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238 ComplexMatrix sumsq (int dim = -1) const; |
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239 Matrix abs (void) const; |
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240 |
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241 ComplexColumnVector diag (void) const; |
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242 ComplexColumnVector diag (octave_idx_type k) const; |
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243 |
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244 bool row_is_real_only (octave_idx_type) const; |
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245 bool column_is_real_only (octave_idx_type) const; |
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246 |
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247 ComplexColumnVector row_min (void) const; |
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248 ComplexColumnVector row_max (void) const; |
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249 |
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250 ComplexColumnVector row_min (Array<octave_idx_type>& index) const; |
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251 ComplexColumnVector row_max (Array<octave_idx_type>& index) const; |
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252 |
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253 ComplexRowVector column_min (void) const; |
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254 ComplexRowVector column_max (void) const; |
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255 |
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256 ComplexRowVector column_min (Array<octave_idx_type>& index) const; |
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257 ComplexRowVector column_max (Array<octave_idx_type>& index) const; |
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258 |
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259 // i/o |
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260 |
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261 friend std::ostream& operator << (std::ostream& os, const ComplexMatrix& a); |
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262 friend std::istream& operator >> (std::istream& is, ComplexMatrix& a); |
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263 |
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264 static Complex resize_fill_value (void) { return Complex (0.0, 0.0); } |
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265 |
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266 private: |
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267 |
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268 ComplexMatrix (Complex *d, octave_idx_type r, octave_idx_type c) : MArray2<Complex> (d, r, c) { } |
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269 }; |
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270 |
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271 // column vector by row vector -> matrix operations |
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272 |
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273 extern ComplexMatrix |
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274 operator * (const ColumnVector& a, const ComplexRowVector& b); |
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275 |
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276 extern ComplexMatrix |
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277 operator * (const ComplexColumnVector& a, const RowVector& b); |
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278 |
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279 extern ComplexMatrix |
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280 operator * (const ComplexColumnVector& a, const ComplexRowVector& b); |
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281 |
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282 extern ComplexMatrix |
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283 Givens (const Complex&, const Complex&); |
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284 |
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285 extern ComplexMatrix |
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286 Sylvester (const ComplexMatrix&, const ComplexMatrix&, const ComplexMatrix&); |
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287 |
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288 extern ComplexMatrix operator * (const Matrix&, const ComplexMatrix&); |
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289 extern ComplexMatrix operator * (const ComplexMatrix&, const Matrix&); |
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290 extern ComplexMatrix operator * (const ComplexMatrix&, const ComplexMatrix&); |
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291 |
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292 extern ComplexMatrix min (const Complex& c, const ComplexMatrix& m); |
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293 extern ComplexMatrix min (const ComplexMatrix& m, const Complex& c); |
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294 extern ComplexMatrix min (const ComplexMatrix& a, const ComplexMatrix& b); |
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295 |
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296 extern ComplexMatrix max (const Complex& c, const ComplexMatrix& m); |
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297 extern ComplexMatrix max (const ComplexMatrix& m, const Complex& c); |
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298 extern ComplexMatrix max (const ComplexMatrix& a, const ComplexMatrix& b); |
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299 |
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300 MS_CMP_OP_DECLS (ComplexMatrix, Complex) |
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301 MS_BOOL_OP_DECLS (ComplexMatrix, Complex) |
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302 |
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303 SM_CMP_OP_DECLS (Complex, ComplexMatrix) |
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304 SM_BOOL_OP_DECLS (Complex, ComplexMatrix) |
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305 |
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306 MM_CMP_OP_DECLS (ComplexMatrix, ComplexMatrix) |
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307 MM_BOOL_OP_DECLS (ComplexMatrix, ComplexMatrix) |
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308 |
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309 MARRAY_FORWARD_DEFS (MArray2, ComplexMatrix, Complex) |
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310 |
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311 #endif |
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312 |
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313 /* |
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314 ;;; Local Variables: *** |
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315 ;;; mode: C++ *** |
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316 ;;; End: *** |
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317 */ |
