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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_Matrix_int_h)
#define octave_Matrix_int_h 1
#if defined (__GNUG__)
#pragma interface
#endif
#include "MArray2.h"
#include "MDiagArray2.h"
#include "mx-defs.h"
#include "data-conv.h"
#include "mach-info.h"
class Matrix : public MArray2<double>
{
friend class ComplexMatrix;
friend class AEPBAL;
friend class CHOL;
friend class GEPBAL;
friend class HESS;
friend class LU;
friend class QR;
friend class QRP;
friend class SCHUR;
friend class SVD;
public:
Matrix (void) : MArray2<double> () { }
Matrix (int r, int c) : MArray2<double> (r, c) { }
Matrix (int r, int c, double val) : MArray2<double> (r, c, val) { }
Matrix (const MArray2<double>& a) : MArray2<double> (a) { }
Matrix (const Matrix& a) : MArray2<double> (a) { }
Matrix (const RowVector& rv);
Matrix (const ColumnVector& cv);
// Matrix (const MDiagArray2<double>& a) : MArray2<double> (a) { }
Matrix (const DiagMatrix& a);
Matrix (const charMatrix& a);
Matrix& operator = (const Matrix& a)
{
MArray2<double>::operator = (a);
return *this;
}
bool operator == (const Matrix& a) const;
bool operator != (const Matrix& a) const;
// destructive insert/delete/reorder operations
Matrix& insert (const Matrix& a, int r, int c);
Matrix& insert (const RowVector& a, int r, int c);
Matrix& insert (const ColumnVector& a, int r, int c);
Matrix& insert (const DiagMatrix& a, int r, int c);
Matrix& fill (double val);
Matrix& fill (double val, int r1, int c1, int r2, int c2);
Matrix append (const Matrix& a) const;
Matrix append (const RowVector& a) const;
Matrix append (const ColumnVector& a) const;
Matrix append (const DiagMatrix& a) const;
Matrix stack (const Matrix& a) const;
Matrix stack (const RowVector& a) const;
Matrix stack (const ColumnVector& a) const;
Matrix stack (const DiagMatrix& a) const;
Matrix transpose (void) const;
friend Matrix real (const ComplexMatrix& a);
friend Matrix imag (const ComplexMatrix& a);
// resize is the destructive equivalent for this one
Matrix extract (int r1, int c1, int r2, int c2) const;
// extract row or column i.
RowVector row (int i) const;
RowVector row (char *s) const;
ColumnVector column (int i) const;
ColumnVector column (char *s) const;
Matrix inverse (void) const;
Matrix inverse (int& info) const;
Matrix inverse (int& info, double& rcond, int force = 0) const;
Matrix pseudo_inverse (double tol = 0.0);
ComplexMatrix fourier (void) const;
ComplexMatrix ifourier (void) const;
ComplexMatrix fourier2d (void) const;
ComplexMatrix ifourier2d (void) const;
DET determinant (void) const;
DET determinant (int& info) const;
DET determinant (int& info, double& rcond) const;
Matrix solve (const Matrix& b) const;
Matrix solve (const Matrix& b, int& info) const;
Matrix 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;
ColumnVector solve (const ColumnVector& b) const;
ColumnVector solve (const ColumnVector& b, int& info) const;
ColumnVector solve (const ColumnVector& 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;
Matrix lssolve (const Matrix& b) const;
Matrix lssolve (const Matrix& b, int& info) const;
Matrix lssolve (const Matrix& b, int& info, int& rank) 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;
ColumnVector lssolve (const ColumnVector& b) const;
ColumnVector lssolve (const ColumnVector& b, int& info) const;
ColumnVector lssolve (const ColumnVector& 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;
Matrix expm (void) const;
Matrix& operator += (const Matrix& a);
Matrix& operator -= (const Matrix& a);
Matrix& operator += (const DiagMatrix& a);
Matrix& operator -= (const DiagMatrix& a);
// unary operations
Matrix operator ! (void) const;
// column vector by row vector -> matrix operations
friend Matrix operator * (const ColumnVector& a, const RowVector& b);
// diagonal matrix by scalar -> matrix operations
friend Matrix operator + (const DiagMatrix& a, double s);
friend Matrix operator - (const DiagMatrix& a, double s);
// scalar by diagonal matrix -> matrix operations
friend Matrix operator + (double s, const DiagMatrix& a);
friend Matrix operator - (double s, const DiagMatrix& a);
// matrix by diagonal matrix -> matrix operations
friend Matrix operator + (const Matrix& a, const DiagMatrix& b);
friend Matrix operator - (const Matrix& a, const DiagMatrix& b);
friend Matrix operator * (const Matrix& a, const DiagMatrix& b);
// diagonal matrix by matrix -> matrix operations
friend Matrix operator + (const DiagMatrix& a, const Matrix& b);
friend Matrix operator - (const DiagMatrix& a, const Matrix& b);
friend Matrix operator * (const DiagMatrix& a, const Matrix& b);
// matrix by matrix -> matrix operations
friend Matrix operator * (const Matrix& a, const Matrix& b);
// other operations
Matrix map (d_d_Mapper f) const;
Matrix& apply (d_d_Mapper f);
bool any_element_is_negative (void) const;
bool any_element_is_inf_or_nan (void) const;
bool all_elements_are_int_or_inf_or_nan (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;
Matrix cumprod (void) const;
Matrix cumsum (void) const;
Matrix prod (void) const;
Matrix sum (void) const;
Matrix sumsq (void) const;
Matrix abs (void) const;
ColumnVector diag (void) const;
ColumnVector diag (int k) const;
ColumnVector row_min (void) const;
ColumnVector row_max (void) const;
ColumnVector row_min (Array<int>& index) const;
ColumnVector row_max (Array<int>& index) const;
RowVector column_min (void) const;
RowVector column_max (void) const;
RowVector column_min (Array<int>& index) const;
RowVector column_max (Array<int>& index) const;
// i/o
friend ostream& operator << (ostream& os, const Matrix& a);
friend istream& operator >> (istream& is, Matrix& a);
int read (istream& is, int nr, int nc, oct_data_conv::data_type dt,
int skip, oct_mach_info::float_format flt_fmt);
int write (ostream& os, oct_data_conv::data_type dt, int skip,
oct_mach_info::float_format flt_fmt);
private:
Matrix (double *d, int r, int c) : MArray2<double> (d, r, c) { }
};
extern Matrix Givens (double, double);
extern Matrix Sylvester (const Matrix&, const Matrix&, const Matrix&);
extern ComplexColumnVector Qzval (const Matrix& a, const Matrix& b);
#endif
/*
;;; Local Variables: ***
;;; mode: C++ ***
;;; End: ***
*/
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