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/*
Copyright (C) 1996 John W. Eaton
This file is part of Octave.
Octave is free software; you can redistribute it and/or modify it
under the terms of the GNU General Public License as published by the
Free Software Foundation; either version 2, or (at your option) any
later version.
Octave is distributed in the hope that it will be useful, but WITHOUT
ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
for more details.
You should have received a copy of the GNU General Public License
along with Octave; see the file COPYING. If not, write to the Free
Software Foundation, 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
*/
#if !defined (octave_ComplexMatrix_h)
#define octave_ComplexMatrix_h 1
#if defined (__GNUG__)
#pragma interface
#endif
#include "MArray2.h"
#include "MDiagArray2.h"
#include "mx-defs.h"
#include "oct-cmplx.h"
class ComplexMatrix : public MArray2<Complex>
{
friend class Matrix;
friend class ComplexCHOL;
friend class ComplexHESS;
friend class ComplexLU;
friend class ComplexQR;
friend class ComplexQRP;
friend class ComplexSCHUR;
friend class ComplexSVD;
public:
ComplexMatrix (void) : MArray2<Complex> () { }
ComplexMatrix (int r, int c) : MArray2<Complex> (r, c) { }
ComplexMatrix (int r, int c, const Complex& val)
: MArray2<Complex> (r, c, val) { }
ComplexMatrix (const Matrix& a);
ComplexMatrix (const MArray2<Complex>& a) : MArray2<Complex> (a) { }
ComplexMatrix (const ComplexMatrix& a) : MArray2<Complex> (a) { }
ComplexMatrix (const RowVector& rv);
ComplexMatrix (const ColumnVector& cv);
ComplexMatrix (const DiagMatrix& a);
// ComplexMatrix (const MDiagArray2<Complex>& a) : MArray2<Complex> (a) { }
ComplexMatrix (const ComplexRowVector& rv);
ComplexMatrix (const ComplexColumnVector& cv);
ComplexMatrix (const ComplexDiagMatrix& a);
ComplexMatrix (const charMatrix& a);
ComplexMatrix& operator = (const ComplexMatrix& a)
{
MArray2<Complex>::operator = (a);
return *this;
}
bool operator == (const ComplexMatrix& a) const;
bool operator != (const ComplexMatrix& a) const;
// destructive insert/delete/reorder operations
ComplexMatrix& insert (const Matrix& a, int r, int c);
ComplexMatrix& insert (const RowVector& a, int r, int c);
ComplexMatrix& insert (const ColumnVector& a, int r, int c);
ComplexMatrix& insert (const DiagMatrix& a, int r, int c);
ComplexMatrix& insert (const ComplexMatrix& a, int r, int c);
ComplexMatrix& insert (const ComplexRowVector& a, int r, int c);
ComplexMatrix& insert (const ComplexColumnVector& a, int r, int c);
ComplexMatrix& insert (const ComplexDiagMatrix& a, int r, int c);
ComplexMatrix& fill (double val);
ComplexMatrix& fill (const Complex& val);
ComplexMatrix& fill (double val, int r1, int c1, int r2, int c2);
ComplexMatrix& fill (const Complex& val, int r1, int c1, int r2, int c2);
ComplexMatrix append (const Matrix& a) const;
ComplexMatrix append (const RowVector& a) const;
ComplexMatrix append (const ColumnVector& a) const;
ComplexMatrix append (const DiagMatrix& a) const;
ComplexMatrix append (const ComplexMatrix& a) const;
ComplexMatrix append (const ComplexRowVector& a) const;
ComplexMatrix append (const ComplexColumnVector& a) const;
ComplexMatrix append (const ComplexDiagMatrix& a) const;
ComplexMatrix stack (const Matrix& a) const;
ComplexMatrix stack (const RowVector& a) const;
ComplexMatrix stack (const ColumnVector& a) const;
ComplexMatrix stack (const DiagMatrix& a) const;
ComplexMatrix stack (const ComplexMatrix& a) const;
ComplexMatrix stack (const ComplexRowVector& a) const;
ComplexMatrix stack (const ComplexColumnVector& a) const;
ComplexMatrix stack (const ComplexDiagMatrix& a) const;
ComplexMatrix hermitian (void) const; // complex conjugate transpose
ComplexMatrix transpose (void) const;
friend ComplexMatrix conj (const ComplexMatrix& a);
// resize is the destructive equivalent for this one
ComplexMatrix extract (int r1, int c1, int r2, int c2) const;
// extract row or column i.
ComplexRowVector row (int i) const;
ComplexRowVector row (char *s) const;
ComplexColumnVector column (int i) const;
ComplexColumnVector column (char *s) const;
ComplexMatrix inverse (void) const;
ComplexMatrix inverse (int& info) const;
ComplexMatrix inverse (int& info, double& rcond, int force = 0) const;
ComplexMatrix pseudo_inverse (double tol = 0.0);
ComplexMatrix fourier (void) const;
ComplexMatrix ifourier (void) const;
ComplexMatrix fourier2d (void) const;
ComplexMatrix ifourier2d (void) const;
ComplexDET determinant (void) const;
ComplexDET determinant (int& info) const;
ComplexDET determinant (int& info, double& rcond) const;
ComplexMatrix solve (const Matrix& b) const;
ComplexMatrix solve (const Matrix& b, int& info) const;
ComplexMatrix solve (const Matrix& b, int& info, double& rcond) const;
ComplexMatrix solve (const ComplexMatrix& b) const;
ComplexMatrix solve (const ComplexMatrix& b, int& info) const;
ComplexMatrix solve (const ComplexMatrix& b, int& info, double& rcond) const;
ComplexColumnVector solve (const ComplexColumnVector& b) const;
ComplexColumnVector solve (const ComplexColumnVector& b, int& info) const;
ComplexColumnVector solve (const ComplexColumnVector& b, int& info,
double& rcond) const;
ComplexMatrix lssolve (const ComplexMatrix& b) const;
ComplexMatrix lssolve (const ComplexMatrix& b, int& info) const;
ComplexMatrix lssolve (const ComplexMatrix& b, int& info,
int& rank) const;
ComplexColumnVector lssolve (const ComplexColumnVector& b) const;
ComplexColumnVector lssolve (const ComplexColumnVector& b, int& info) const;
ComplexColumnVector lssolve (const ComplexColumnVector& b, int& info,
int& rank) const;
ComplexMatrix expm (void) const;
// column vector by row vector -> matrix operations
friend ComplexMatrix operator * (const ColumnVector& a,
const ComplexRowVector& b);
friend ComplexMatrix operator * (const ComplexColumnVector& a,
const RowVector& b);
friend ComplexMatrix operator * (const ComplexColumnVector& a,
const ComplexRowVector& b);
// diagonal matrix by scalar -> matrix operations
friend ComplexMatrix operator + (const DiagMatrix& a, const Complex& s);
friend ComplexMatrix operator - (const DiagMatrix& a, const Complex& s);
friend ComplexMatrix operator + (const ComplexDiagMatrix& a, double s);
friend ComplexMatrix operator - (const ComplexDiagMatrix& a, double s);
friend ComplexMatrix operator + (const ComplexDiagMatrix& a,
const Complex& s);
friend ComplexMatrix operator - (const ComplexDiagMatrix& a,
const Complex& s);
// scalar by diagonal matrix -> matrix operations
friend ComplexMatrix operator + (const Complex& s, const DiagMatrix& a);
friend ComplexMatrix operator - (const Complex& s, const DiagMatrix& a);
friend ComplexMatrix operator + (double s, const ComplexDiagMatrix& a);
friend ComplexMatrix operator - (double s, const ComplexDiagMatrix& a);
friend ComplexMatrix operator + (const Complex& s,
const ComplexDiagMatrix& a);
friend ComplexMatrix operator - (const Complex& s,
const ComplexDiagMatrix& a);
// matrix by diagonal matrix -> matrix operations
ComplexMatrix& operator += (const DiagMatrix& a);
ComplexMatrix& operator -= (const DiagMatrix& a);
ComplexMatrix& operator += (const ComplexDiagMatrix& a);
ComplexMatrix& operator -= (const ComplexDiagMatrix& a);
friend ComplexMatrix operator + (const Matrix& a,
const ComplexDiagMatrix& b);
friend ComplexMatrix operator - (const Matrix& a,
const ComplexDiagMatrix& b);
friend ComplexMatrix operator * (const Matrix& a,
const ComplexDiagMatrix& b);
// diagonal matrix by matrix -> matrix operations
friend ComplexMatrix operator + (const DiagMatrix& a,
const ComplexMatrix& b);
friend ComplexMatrix operator - (const DiagMatrix& a,
const ComplexMatrix& b);
friend ComplexMatrix operator * (const DiagMatrix& a,
const ComplexMatrix& b);
friend ComplexMatrix operator + (const ComplexDiagMatrix& a,
const Matrix& b);
friend ComplexMatrix operator - (const ComplexDiagMatrix& a,
const Matrix& b);
friend ComplexMatrix operator * (const ComplexDiagMatrix& a,
const Matrix& b);
friend ComplexMatrix operator + (const ComplexDiagMatrix& a,
const ComplexMatrix& b);
friend ComplexMatrix operator - (const ComplexDiagMatrix& a,
const ComplexMatrix& b);
friend ComplexMatrix operator * (const ComplexDiagMatrix& a,
const ComplexMatrix& b);
// matrix by matrix -> matrix operations
ComplexMatrix& operator += (const Matrix& a);
ComplexMatrix& operator -= (const Matrix& a);
ComplexMatrix& operator += (const ComplexMatrix& a);
ComplexMatrix& operator -= (const ComplexMatrix& a);
// unary operations
Matrix operator ! (void) const;
// matrix by scalar -> matrix operations
friend ComplexMatrix operator + (const Matrix& a, const Complex& s);
friend ComplexMatrix operator - (const Matrix& a, const Complex& s);
friend ComplexMatrix operator * (const Matrix& a, const Complex& s);
friend ComplexMatrix operator / (const Matrix& a, const Complex& s);
friend ComplexMatrix operator + (const ComplexMatrix& a, double s);
friend ComplexMatrix operator - (const ComplexMatrix& a, double s);
friend ComplexMatrix operator * (const ComplexMatrix& a, double s);
friend ComplexMatrix operator / (const ComplexMatrix& a, double s);
// scalar by matrix -> matrix operations
friend ComplexMatrix operator + (double s, const ComplexMatrix& a);
friend ComplexMatrix operator - (double s, const ComplexMatrix& a);
friend ComplexMatrix operator * (double s, const ComplexMatrix& a);
friend ComplexMatrix operator / (double s, const ComplexMatrix& a);
friend ComplexMatrix operator + (const Complex& s, const Matrix& a);
friend ComplexMatrix operator - (const Complex& s, const Matrix& a);
friend ComplexMatrix operator * (const Complex& s, const Matrix& a);
friend ComplexMatrix operator / (const Complex& s, const Matrix& a);
// matrix by diagonal matrix -> matrix operations
friend ComplexMatrix operator + (const ComplexMatrix& a,
const DiagMatrix& b);
friend ComplexMatrix operator - (const ComplexMatrix& a,
const DiagMatrix& b);
friend ComplexMatrix operator * (const ComplexMatrix& a,
const DiagMatrix& b);
friend ComplexMatrix operator + (const ComplexMatrix& a,
const ComplexDiagMatrix& b);
friend ComplexMatrix operator - (const ComplexMatrix& a,
const ComplexDiagMatrix& b);
friend ComplexMatrix operator * (const ComplexMatrix& a,
const ComplexDiagMatrix& b);
// matrix by matrix -> matrix operations
friend ComplexMatrix operator + (const ComplexMatrix& a, const Matrix& b);
friend ComplexMatrix operator - (const ComplexMatrix& a, const Matrix& b);
friend ComplexMatrix operator + (const Matrix& a, const ComplexMatrix& b);
friend ComplexMatrix operator - (const Matrix& a, const ComplexMatrix& b);
friend ComplexMatrix operator * (const ComplexMatrix& a, const Matrix& b);
friend ComplexMatrix operator * (const Matrix& a, const ComplexMatrix& b);
friend ComplexMatrix operator * (const ComplexMatrix& a,
const ComplexMatrix& b);
friend ComplexMatrix product (const ComplexMatrix& a, const Matrix& b);
friend ComplexMatrix quotient (const ComplexMatrix& a, const Matrix& b);
friend ComplexMatrix product (const Matrix& a, const ComplexMatrix& b);
friend ComplexMatrix quotient (const Matrix& a, const ComplexMatrix& b);
// other operations
ComplexMatrix map (c_c_Mapper f) const;
Matrix map (d_c_Mapper f) const;
ComplexMatrix& apply (c_c_Mapper f);
bool any_element_is_inf_or_nan (void) const;
bool all_elements_are_real (void) const;
bool all_integers (double& max_val, double& min_val) const;
bool too_large_for_float (void) const;
Matrix all (void) const;
Matrix any (void) const;
ComplexMatrix cumprod (void) const;
ComplexMatrix cumsum (void) const;
ComplexMatrix prod (void) const;
ComplexMatrix sum (void) const;
ComplexMatrix sumsq (void) const;
ComplexColumnVector diag (void) const;
ComplexColumnVector diag (int k) const;
bool row_is_real_only (int) const;
bool column_is_real_only (int) const;
ComplexColumnVector row_min (void) const;
ComplexColumnVector row_max (void) const;
ComplexColumnVector row_min (Array<int>& index) const;
ComplexColumnVector row_max (Array<int>& index) const;
ComplexRowVector column_min (void) const;
ComplexRowVector column_max (void) const;
ComplexRowVector column_min (Array<int>& index) const;
ComplexRowVector column_max (Array<int>& index) const;
// i/o
friend ostream& operator << (ostream& os, const ComplexMatrix& a);
friend istream& operator >> (istream& is, ComplexMatrix& a);
private:
ComplexMatrix (Complex *d, int r, int c) : MArray2<Complex> (d, r, c) { }
};
ComplexMatrix Givens (const Complex&, const Complex&);
ComplexMatrix Sylvester (const ComplexMatrix&, const ComplexMatrix&,
const ComplexMatrix&);
#endif
/*
;;; Local Variables: ***
;;; mode: C++ ***
;;; End: ***
*/
|
