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1 /* |
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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, 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. |
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20 |
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21 */ |
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22 |
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23 #if !defined (octave_ComplexMatrix_h) |
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24 #define octave_ComplexMatrix_h 1 |
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25 |
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26 #include "MArray2.h" |
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27 #include "MDiagArray2.h" |
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28 |
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29 #include "mx-defs.h" |
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30 #include "mx-op-defs.h" |
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31 #include "oct-cmplx.h" |
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32 |
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33 class |
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34 ComplexMatrix : public MArray2<Complex> |
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35 { |
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36 public: |
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37 |
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38 typedef void (*solve_singularity_handler) (double rcond); |
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39 |
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40 ComplexMatrix (void) : MArray2<Complex> () { } |
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41 |
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42 ComplexMatrix (int r, int c) : MArray2<Complex> (r, c) { } |
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43 |
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44 ComplexMatrix (int r, int c, const Complex& val) |
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45 : MArray2<Complex> (r, c, val) { } |
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46 |
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47 ComplexMatrix (const ComplexMatrix& a) : MArray2<Complex> (a) { } |
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48 |
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49 ComplexMatrix (const MArray2<Complex>& a) : MArray2<Complex> (a) { } |
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50 |
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51 explicit ComplexMatrix (const Matrix& a); |
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52 |
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53 explicit ComplexMatrix (const RowVector& rv); |
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54 |
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55 explicit ComplexMatrix (const ColumnVector& cv); |
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56 |
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57 explicit ComplexMatrix (const DiagMatrix& a); |
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58 |
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59 explicit ComplexMatrix (const ComplexRowVector& rv); |
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60 |
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61 explicit ComplexMatrix (const ComplexColumnVector& cv); |
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62 |
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63 explicit ComplexMatrix (const ComplexDiagMatrix& a); |
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64 |
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65 explicit ComplexMatrix (const boolMatrix& a); |
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66 |
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67 explicit ComplexMatrix (const charMatrix& a); |
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68 |
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69 ComplexMatrix& operator = (const ComplexMatrix& a) |
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70 { |
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71 MArray2<Complex>::operator = (a); |
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72 return *this; |
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73 } |
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74 |
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75 bool operator == (const ComplexMatrix& a) const; |
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76 bool operator != (const ComplexMatrix& a) const; |
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77 |
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78 bool is_hermitian (void) const; |
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79 |
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80 // destructive insert/delete/reorder operations |
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81 |
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82 ComplexMatrix& insert (const Matrix& a, int r, int c); |
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83 ComplexMatrix& insert (const RowVector& a, int r, int c); |
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84 ComplexMatrix& insert (const ColumnVector& a, int r, int c); |
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85 ComplexMatrix& insert (const DiagMatrix& a, int r, int c); |
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86 |
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87 ComplexMatrix& insert (const ComplexMatrix& a, int r, int c); |
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88 ComplexMatrix& insert (const ComplexRowVector& a, int r, int c); |
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89 ComplexMatrix& insert (const ComplexColumnVector& a, int r, int c); |
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90 ComplexMatrix& insert (const ComplexDiagMatrix& a, int r, int c); |
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91 |
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92 ComplexMatrix& fill (double val); |
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93 ComplexMatrix& fill (const Complex& val); |
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94 ComplexMatrix& fill (double val, int r1, int c1, int r2, int c2); |
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95 ComplexMatrix& fill (const Complex& val, int r1, int c1, int r2, int c2); |
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96 |
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97 ComplexMatrix append (const Matrix& a) const; |
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98 ComplexMatrix append (const RowVector& a) const; |
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99 ComplexMatrix append (const ColumnVector& a) const; |
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100 ComplexMatrix append (const DiagMatrix& a) const; |
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101 |
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102 ComplexMatrix append (const ComplexMatrix& a) const; |
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103 ComplexMatrix append (const ComplexRowVector& a) const; |
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104 ComplexMatrix append (const ComplexColumnVector& a) const; |
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105 ComplexMatrix append (const ComplexDiagMatrix& a) const; |
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106 |
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107 ComplexMatrix stack (const Matrix& a) const; |
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108 ComplexMatrix stack (const RowVector& a) const; |
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109 ComplexMatrix stack (const ColumnVector& a) const; |
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110 ComplexMatrix stack (const DiagMatrix& a) const; |
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111 |
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112 ComplexMatrix stack (const ComplexMatrix& a) const; |
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113 ComplexMatrix stack (const ComplexRowVector& a) const; |
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114 ComplexMatrix stack (const ComplexColumnVector& a) const; |
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115 ComplexMatrix stack (const ComplexDiagMatrix& a) const; |
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116 |
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117 ComplexMatrix hermitian (void) const; // complex conjugate transpose |
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118 ComplexMatrix transpose (void) const |
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119 { return MArray2<Complex>::transpose (); } |
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120 |
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121 friend ComplexMatrix conj (const ComplexMatrix& a); |
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122 |
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123 // resize is the destructive equivalent for this one |
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124 |
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125 ComplexMatrix extract (int r1, int c1, int r2, int c2) const; |
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126 |
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127 ComplexMatrix extract_n (int r1, int c1, int nr, int nc) const; |
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128 |
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129 // extract row or column i. |
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130 |
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131 ComplexRowVector row (int i) const; |
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132 ComplexRowVector row (char *s) const; |
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133 |
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134 ComplexColumnVector column (int i) const; |
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135 ComplexColumnVector column (char *s) const; |
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136 |
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137 ComplexMatrix inverse (void) const; |
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138 ComplexMatrix inverse (int& info) const; |
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139 ComplexMatrix inverse (int& 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 (int& info) const; |
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152 ComplexDET determinant (int& info, double& rcond, int calc_cond = 1) const; |
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153 |
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154 ComplexMatrix solve (const Matrix& b) const; |
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155 ComplexMatrix solve (const Matrix& b, int& info) const; |
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156 ComplexMatrix solve (const Matrix& b, int& info, double& rcond) const; |
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157 ComplexMatrix solve (const Matrix& b, int& info, double& rcond, |
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158 solve_singularity_handler sing_handler) const; |
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159 |
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160 ComplexMatrix solve (const ComplexMatrix& b) const; |
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161 ComplexMatrix solve (const ComplexMatrix& b, int& info) const; |
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162 ComplexMatrix solve (const ComplexMatrix& b, int& info, double& rcond) const; |
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163 ComplexMatrix solve (const ComplexMatrix& b, int& info, double& rcond, |
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164 solve_singularity_handler sing_handler) const; |
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165 |
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166 ComplexColumnVector solve (const ColumnVector& b) const; |
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167 ComplexColumnVector solve (const ColumnVector& b, int& info) const; |
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168 ComplexColumnVector solve (const ColumnVector& b, int& info, |
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169 double& rcond) const; |
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170 ComplexColumnVector solve (const ColumnVector& b, int& info, double& rcond, |
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171 solve_singularity_handler sing_handler) const; |
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172 |
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173 ComplexColumnVector solve (const ComplexColumnVector& b) const; |
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174 ComplexColumnVector solve (const ComplexColumnVector& b, int& info) const; |
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175 ComplexColumnVector solve (const ComplexColumnVector& b, int& info, |
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176 double& rcond) const; |
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177 ComplexColumnVector solve (const ComplexColumnVector& b, int& info, |
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178 double& rcond, |
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179 solve_singularity_handler sing_handler) const; |
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180 |
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181 ComplexMatrix lssolve (const Matrix& b) const; |
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182 ComplexMatrix lssolve (const Matrix& b, int& info) const; |
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183 ComplexMatrix lssolve (const Matrix& b, int& info, int& rank) const; |
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184 |
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185 ComplexMatrix lssolve (const ComplexMatrix& b) const; |
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186 ComplexMatrix lssolve (const ComplexMatrix& b, int& info) const; |
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187 ComplexMatrix lssolve (const ComplexMatrix& b, int& info, |
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188 int& rank) const; |
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189 |
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190 ComplexColumnVector lssolve (const ColumnVector& b) const; |
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191 ComplexColumnVector lssolve (const ColumnVector& b, int& info) const; |
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192 ComplexColumnVector lssolve (const ColumnVector& b, int& info, |
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193 int& rank) const; |
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194 |
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195 ComplexColumnVector lssolve (const ComplexColumnVector& b) const; |
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196 ComplexColumnVector lssolve (const ComplexColumnVector& b, int& info) const; |
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197 ComplexColumnVector lssolve (const ComplexColumnVector& b, int& info, |
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198 int& rank) const; |
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199 |
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200 ComplexMatrix expm (void) const; |
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201 |
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202 // column vector by row vector -> matrix operations |
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203 |
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204 friend ComplexMatrix operator * (const ColumnVector& a, |
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205 const ComplexRowVector& b); |
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206 |
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207 friend ComplexMatrix operator * (const ComplexColumnVector& a, |
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208 const RowVector& b); |
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209 |
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210 friend ComplexMatrix operator * (const ComplexColumnVector& a, |
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211 const ComplexRowVector& b); |
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212 |
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213 // matrix by diagonal matrix -> matrix operations |
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214 |
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215 ComplexMatrix& operator += (const DiagMatrix& a); |
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216 ComplexMatrix& operator -= (const DiagMatrix& a); |
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217 |
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218 ComplexMatrix& operator += (const ComplexDiagMatrix& a); |
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219 ComplexMatrix& operator -= (const ComplexDiagMatrix& a); |
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220 |
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221 // matrix by matrix -> matrix operations |
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222 |
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223 ComplexMatrix& operator += (const Matrix& a); |
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224 ComplexMatrix& operator -= (const Matrix& a); |
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225 |
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226 // unary operations |
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227 |
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228 boolMatrix operator ! (void) const; |
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229 |
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230 // other operations |
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231 |
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232 ComplexMatrix map (c_c_Mapper f) const; |
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233 Matrix map (d_c_Mapper f) const; |
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234 boolMatrix map (b_c_Mapper f) const; |
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235 |
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236 ComplexMatrix& apply (c_c_Mapper f); |
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237 |
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238 bool any_element_is_inf_or_nan (void) const; |
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239 bool all_elements_are_real (void) const; |
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240 bool all_integers (double& max_val, double& min_val) const; |
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241 bool too_large_for_float (void) const; |
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242 |
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243 boolMatrix all (int dim = -1) const; |
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244 boolMatrix any (int dim = -1) const; |
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245 |
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246 ComplexMatrix cumprod (int dim = -1) const; |
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247 ComplexMatrix cumsum (int dim = -1) const; |
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248 ComplexMatrix prod (int dim = -1) const; |
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249 ComplexMatrix sum (int dim = -1) const; |
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250 ComplexMatrix sumsq (int dim = -1) const; |
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251 Matrix abs (void) const; |
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252 |
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253 ComplexColumnVector diag (void) const; |
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254 ComplexColumnVector diag (int k) const; |
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255 |
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256 bool row_is_real_only (int) const; |
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257 bool column_is_real_only (int) const; |
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258 |
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259 ComplexColumnVector row_min (void) const; |
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260 ComplexColumnVector row_max (void) const; |
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261 |
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262 ComplexColumnVector row_min (Array<int>& index) const; |
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263 ComplexColumnVector row_max (Array<int>& index) const; |
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264 |
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265 ComplexRowVector column_min (void) const; |
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266 ComplexRowVector column_max (void) const; |
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267 |
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268 ComplexRowVector column_min (Array<int>& index) const; |
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269 ComplexRowVector column_max (Array<int>& index) const; |
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270 |
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271 // i/o |
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272 |
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273 friend std::ostream& operator << (std::ostream& os, const ComplexMatrix& a); |
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274 friend std::istream& operator >> (std::istream& is, ComplexMatrix& a); |
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275 |
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276 static Complex resize_fill_value (void) { return Complex (0.0, 0.0); } |
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277 |
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278 private: |
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279 |
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280 ComplexMatrix (Complex *d, int r, int c) : MArray2<Complex> (d, r, c) { } |
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281 }; |
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282 |
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283 ComplexMatrix Givens (const Complex&, const Complex&); |
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284 |
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285 ComplexMatrix Sylvester (const ComplexMatrix&, const ComplexMatrix&, |
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286 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 */ |
