/usr/include/octave-4.2.2/octave/CSparse.h is in liboctave-dev 4.2.2-1ubuntu1.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
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Copyright (C) 2004-2017 David Bateman
Copyright (C) 1998-2004 Andy Adler
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 3 of the License, 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, see
<http://www.gnu.org/licenses/>.
*/
#if ! defined (octave_CSparse_h)
#define octave_CSparse_h 1
#include "octave-config.h"
#include "dMatrix.h"
#include "dNDArray.h"
#include "CMatrix.h"
#include "CNDArray.h"
#include "dColVector.h"
#include "CColVector.h"
#include "oct-cmplx.h"
#include "DET.h"
#include "MSparse.h"
#include "Sparse-op-decls.h"
#include "MatrixType.h"
class PermMatrix;
class DiagMatrix;
class ComplexDiagMatrix;
class SparseMatrix;
class SparseBoolMatrix;
class
OCTAVE_API
SparseComplexMatrix : public MSparse<Complex>
{
public:
// Corresponding dense matrix type for this sparse matrix type.
typedef ComplexMatrix dense_matrix_type;
typedef void (*solve_singularity_handler) (double rcond);
SparseComplexMatrix (void) : MSparse<Complex> () { }
SparseComplexMatrix (octave_idx_type r,
octave_idx_type c) : MSparse<Complex> (r, c) { }
SparseComplexMatrix (const dim_vector& dv, octave_idx_type nz = 0)
: MSparse<Complex> (dv, nz) { }
explicit SparseComplexMatrix (octave_idx_type r, octave_idx_type c,
Complex val)
: MSparse<Complex> (r, c, val) { }
SparseComplexMatrix (octave_idx_type r, octave_idx_type c, double val)
: MSparse<Complex> (r, c, Complex (val)) { }
SparseComplexMatrix (const SparseComplexMatrix& a)
: MSparse<Complex> (a) { }
SparseComplexMatrix (const SparseComplexMatrix& a, const dim_vector& dv)
: MSparse<Complex> (a, dv) { }
SparseComplexMatrix (const MSparse<Complex>& a) : MSparse<Complex> (a) { }
SparseComplexMatrix (const Sparse<Complex>& a) : MSparse<Complex> (a) { }
explicit SparseComplexMatrix (const ComplexMatrix& a)
: MSparse<Complex> (a) { }
explicit SparseComplexMatrix (const ComplexNDArray& a)
: MSparse<Complex> (a) { }
SparseComplexMatrix (const Array<Complex>& a, const idx_vector& r,
const idx_vector& c, octave_idx_type nr = -1,
octave_idx_type nc = -1, bool sum_terms = true,
octave_idx_type nzm = -1)
: MSparse<Complex> (a, r, c, nr, nc, sum_terms, nzm) { }
explicit SparseComplexMatrix (const SparseMatrix& a);
explicit SparseComplexMatrix (const SparseBoolMatrix& a);
explicit SparseComplexMatrix (const ComplexDiagMatrix& a);
SparseComplexMatrix (octave_idx_type r, octave_idx_type c,
octave_idx_type num_nz)
: MSparse<Complex> (r, c, num_nz) { }
SparseComplexMatrix& operator = (const SparseComplexMatrix& a)
{
MSparse<Complex>::operator = (a);
return *this;
}
bool operator == (const SparseComplexMatrix& a) const;
bool operator != (const SparseComplexMatrix& a) const;
bool is_hermitian (void) const;
SparseComplexMatrix max (int dim = -1) const;
SparseComplexMatrix max (Array<octave_idx_type>& index, int dim = -1) const;
SparseComplexMatrix min (int dim = -1) const;
SparseComplexMatrix min (Array<octave_idx_type>& index, int dim = -1) const;
SparseComplexMatrix& insert (const SparseComplexMatrix& a,
octave_idx_type r, octave_idx_type c);
SparseComplexMatrix& insert (const SparseMatrix& a,
octave_idx_type r, octave_idx_type c);
SparseComplexMatrix& insert (const SparseComplexMatrix& a,
const Array<octave_idx_type>& indx);
SparseComplexMatrix& insert (const SparseMatrix& a,
const Array<octave_idx_type>& indx);
SparseComplexMatrix concat (const SparseComplexMatrix& rb,
const Array<octave_idx_type>& ra_idx);
SparseComplexMatrix concat (const SparseMatrix& rb,
const Array<octave_idx_type>& ra_idx);
ComplexMatrix matrix_value (void) const;
SparseComplexMatrix hermitian (void) const; // complex conjugate transpose
SparseComplexMatrix transpose (void) const
{ return MSparse<Complex>::transpose (); }
friend SparseComplexMatrix conj (const SparseComplexMatrix& a);
// extract row or column i.
ComplexRowVector row (octave_idx_type i) const;
ComplexColumnVector column (octave_idx_type i) const;
private:
SparseComplexMatrix dinverse (MatrixType &mattyp, octave_idx_type& info,
double& rcond, const bool force = false,
const bool calccond = true) const;
SparseComplexMatrix tinverse (MatrixType &mattyp, octave_idx_type& info,
double& rcond, const bool force = false,
const bool calccond = true) const;
public:
SparseComplexMatrix inverse (void) const;
SparseComplexMatrix inverse (MatrixType& mattype) const;
SparseComplexMatrix inverse (MatrixType& mattype,
octave_idx_type& info) const;
SparseComplexMatrix inverse (MatrixType& mattype, octave_idx_type& info,
double& rcond, bool force = false,
bool calc_cond = true) const;
ComplexDET determinant (void) const;
ComplexDET determinant (octave_idx_type& info) const;
ComplexDET determinant (octave_idx_type& info, double& rcond,
bool calc_cond = true) const;
private:
// Diagonal matrix solvers
ComplexMatrix dsolve (MatrixType &typ, const Matrix& b, octave_idx_type& info,
double& rcond, solve_singularity_handler sing_handler,
bool calc_cond = false) const;
ComplexMatrix dsolve (MatrixType &typ, const ComplexMatrix& b,
octave_idx_type& info, double& rcond,
solve_singularity_handler sing_handler,
bool calc_cond = false) const;
SparseComplexMatrix dsolve (MatrixType &typ, const SparseMatrix& b,
octave_idx_type& info, double& rcond,
solve_singularity_handler sing_handler,
bool calc_cond = false) const;
SparseComplexMatrix dsolve (MatrixType &typ, const SparseComplexMatrix& b,
octave_idx_type& info, double& rcond,
solve_singularity_handler sing_handler,
bool calc_cond = false) const;
// Upper triangular matrix solvers
ComplexMatrix utsolve (MatrixType &typ, const Matrix& b,
octave_idx_type& info, double& rcond,
solve_singularity_handler sing_handler,
bool calc_cond = false) const;
ComplexMatrix utsolve (MatrixType &typ, const ComplexMatrix& b,
octave_idx_type& info, double& rcond,
solve_singularity_handler sing_handler,
bool calc_cond = false) const;
SparseComplexMatrix utsolve (MatrixType &typ, const SparseMatrix& b,
octave_idx_type& info, double& rcond,
solve_singularity_handler sing_handler,
bool calc_cond = false) const;
SparseComplexMatrix utsolve (MatrixType &typ, const SparseComplexMatrix& b,
octave_idx_type& info, double& rcond,
solve_singularity_handler sing_handler,
bool calc_cond = false) const;
// Lower triangular matrix solvers
ComplexMatrix ltsolve (MatrixType &typ, const Matrix& b,
octave_idx_type& info, double& rcond,
solve_singularity_handler sing_handler,
bool calc_cond = false) const;
ComplexMatrix ltsolve (MatrixType &typ, const ComplexMatrix& b,
octave_idx_type& info, double& rcond,
solve_singularity_handler sing_handler,
bool calc_cond = false) const;
SparseComplexMatrix ltsolve (MatrixType &typ, const SparseMatrix& b,
octave_idx_type& info, double& rcond,
solve_singularity_handler sing_handler,
bool calc_cond = false) const;
SparseComplexMatrix ltsolve (MatrixType &typ, const SparseComplexMatrix& b,
octave_idx_type& info, double& rcond,
solve_singularity_handler sing_handler,
bool calc_cond = false) const;
// Tridiagonal matrix solvers
ComplexMatrix trisolve (MatrixType &typ, const Matrix& b,
octave_idx_type& info, double& rcond,
solve_singularity_handler sing_handler,
bool calc_cond = false) const;
ComplexMatrix trisolve (MatrixType &typ, const ComplexMatrix& b,
octave_idx_type& info, double& rcond,
solve_singularity_handler sing_handler,
bool calc_cond = false) const;
SparseComplexMatrix trisolve (MatrixType &typ, const SparseMatrix& b,
octave_idx_type& info, double& rcond,
solve_singularity_handler sing_handler,
bool calc_cond = false) const;
SparseComplexMatrix trisolve (MatrixType &typ, const SparseComplexMatrix& b,
octave_idx_type& info, double& rcond,
solve_singularity_handler sing_handler,
bool calc_cond = false) const;
// Banded matrix solvers (umfpack/cholesky)
ComplexMatrix bsolve (MatrixType &typ, const Matrix& b,
octave_idx_type& info, double& rcond,
solve_singularity_handler sing_handler,
bool calc_cond = false) const;
ComplexMatrix bsolve (MatrixType &typ, const ComplexMatrix& b,
octave_idx_type& info, double& rcond,
solve_singularity_handler sing_handler,
bool calc_cond = false) const;
SparseComplexMatrix bsolve (MatrixType &typ, const SparseMatrix& b,
octave_idx_type& info, double& rcond,
solve_singularity_handler sing_handler,
bool calc_cond = false) const;
SparseComplexMatrix bsolve (MatrixType &typ, const SparseComplexMatrix& b,
octave_idx_type& info, double& rcond,
solve_singularity_handler sing_handler,
bool calc_cond = false) const;
// Full matrix solvers (umfpack/cholesky)
void * factorize (octave_idx_type& err, double &rcond, Matrix &Control,
Matrix &Info, solve_singularity_handler sing_handler,
bool calc_cond) const;
ComplexMatrix fsolve (MatrixType &typ, const Matrix& b,
octave_idx_type& info, double& rcond,
solve_singularity_handler sing_handler,
bool calc_cond = false) const;
ComplexMatrix fsolve (MatrixType &typ, const ComplexMatrix& b,
octave_idx_type& info, double& rcond,
solve_singularity_handler sing_handler,
bool calc_cond = false) const;
SparseComplexMatrix fsolve (MatrixType &typ, const SparseMatrix& b,
octave_idx_type& info, double& rcond,
solve_singularity_handler sing_handler,
bool calc_cond = false) const;
SparseComplexMatrix fsolve (MatrixType &typ, const SparseComplexMatrix& b,
octave_idx_type& info, double& rcond,
solve_singularity_handler sing_handler,
bool calc_cond = false) const;
public:
// Generic interface to solver with no probing of type
ComplexMatrix solve (MatrixType &typ, const Matrix& b) const;
ComplexMatrix solve (MatrixType &typ, const Matrix& b,
octave_idx_type& info) const;
ComplexMatrix solve (MatrixType &typ, const Matrix& b, octave_idx_type& info,
double& rcond) const;
ComplexMatrix solve (MatrixType &typ, const Matrix& b, octave_idx_type& info,
double& rcond, solve_singularity_handler sing_handler,
bool singular_fallback = true) const;
ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b) const;
ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b,
octave_idx_type& info) const;
ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b,
octave_idx_type& info, double& rcond) const;
ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b,
octave_idx_type& info, double& rcond,
solve_singularity_handler sing_handler,
bool singular_fallback = true) const;
SparseComplexMatrix solve (MatrixType &typ, const SparseMatrix& b) const;
SparseComplexMatrix solve (MatrixType &typ, const SparseMatrix& b,
octave_idx_type& info) const;
SparseComplexMatrix solve (MatrixType &typ, const SparseMatrix& b,
octave_idx_type& info, double& rcond) const;
SparseComplexMatrix solve (MatrixType &typ, const SparseMatrix& b,
octave_idx_type& info, double& rcond,
solve_singularity_handler sing_handler,
bool singular_fallback = true) const;
SparseComplexMatrix solve (MatrixType &typ,
const SparseComplexMatrix& b) const;
SparseComplexMatrix solve (MatrixType &typ, const SparseComplexMatrix& b,
octave_idx_type& info) const;
SparseComplexMatrix solve (MatrixType &typ, const SparseComplexMatrix& b,
octave_idx_type& info, double& rcond) const;
SparseComplexMatrix solve (MatrixType &typ, const SparseComplexMatrix& b,
octave_idx_type& info, double& rcond,
solve_singularity_handler sing_handler,
bool singular_fallback = true) const;
ComplexColumnVector solve (MatrixType &typ, const ColumnVector& b) const;
ComplexColumnVector solve (MatrixType &typ, const ColumnVector& b,
octave_idx_type& info) const;
ComplexColumnVector solve (MatrixType &typ, const ColumnVector& b,
octave_idx_type& info, double& rcond) const;
ComplexColumnVector solve (MatrixType &typ, const ColumnVector& b,
octave_idx_type& info, double& rcond,
solve_singularity_handler sing_handler) const;
ComplexColumnVector solve (MatrixType &typ,
const ComplexColumnVector& b) const;
ComplexColumnVector solve (MatrixType &typ, const ComplexColumnVector& b,
octave_idx_type& info) const;
ComplexColumnVector solve (MatrixType &typ, const ComplexColumnVector& b,
octave_idx_type& info, double& rcond) const;
ComplexColumnVector solve (MatrixType &typ, const ComplexColumnVector& b,
octave_idx_type& info, double& rcond,
solve_singularity_handler sing_handler) const;
// Generic interface to solver with probing of type
ComplexMatrix solve (const Matrix& b) const;
ComplexMatrix solve (const Matrix& b, octave_idx_type& info) const;
ComplexMatrix solve (const Matrix& b, octave_idx_type& info,
double& rcond) const;
ComplexMatrix solve (const Matrix& b, octave_idx_type& info, double& rcond,
solve_singularity_handler sing_handler) const;
ComplexMatrix solve (const ComplexMatrix& b) const;
ComplexMatrix solve (const ComplexMatrix& b, octave_idx_type& info) const;
ComplexMatrix solve (const ComplexMatrix& b, octave_idx_type& info,
double& rcond) const;
ComplexMatrix solve (const ComplexMatrix& b, octave_idx_type& info,
double& rcond,
solve_singularity_handler sing_handler) const;
SparseComplexMatrix solve (const SparseMatrix& b) const;
SparseComplexMatrix solve (const SparseMatrix& b,
octave_idx_type& info) const;
SparseComplexMatrix solve (const SparseMatrix& b, octave_idx_type& info,
double& rcond) const;
SparseComplexMatrix solve (const SparseMatrix& b, octave_idx_type& info,
double& rcond,
solve_singularity_handler sing_handler) const;
SparseComplexMatrix solve (const SparseComplexMatrix& b) const;
SparseComplexMatrix solve (const SparseComplexMatrix& b,
octave_idx_type& info) const;
SparseComplexMatrix solve (const SparseComplexMatrix& b,
octave_idx_type& info, double& rcond) const;
SparseComplexMatrix solve (const SparseComplexMatrix& b,
octave_idx_type& info, double& rcond,
solve_singularity_handler sing_handler) const;
ComplexColumnVector solve (const ColumnVector& b) const;
ComplexColumnVector solve (const ColumnVector& b,
octave_idx_type& info) const;
ComplexColumnVector solve (const ColumnVector& b, octave_idx_type& info,
double& rcond) const;
ComplexColumnVector solve (const ColumnVector& b, octave_idx_type& info,
double& rcond,
solve_singularity_handler sing_handler) const;
ComplexColumnVector solve (const ComplexColumnVector& b) const;
ComplexColumnVector solve (const ComplexColumnVector& b,
octave_idx_type& info) const;
ComplexColumnVector solve (const ComplexColumnVector& b,
octave_idx_type& info, double& rcond) const;
ComplexColumnVector solve (const ComplexColumnVector& b,
octave_idx_type& info, double& rcond,
solve_singularity_handler sing_handler) const;
SparseComplexMatrix squeeze (void) const;
SparseComplexMatrix reshape (const dim_vector& new_dims) const;
SparseComplexMatrix permute (const Array<octave_idx_type>& vec,
bool inv = false) const;
SparseComplexMatrix ipermute (const Array<octave_idx_type>& vec) const;
bool any_element_is_nan (void) const;
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;
SparseBoolMatrix operator ! (void) const;
SparseBoolMatrix all (int dim = -1) const;
SparseBoolMatrix any (int dim = -1) const;
SparseComplexMatrix cumprod (int dim = -1) const;
SparseComplexMatrix cumsum (int dim = -1) const;
SparseComplexMatrix prod (int dim = -1) const;
SparseComplexMatrix sum (int dim = -1) const;
SparseComplexMatrix sumsq (int dim = -1) const;
SparseMatrix abs (void) const;
SparseComplexMatrix diag (octave_idx_type k = 0) const;
// i/o
friend OCTAVE_API std::ostream& operator << (std::ostream& os,
const SparseComplexMatrix& a);
friend OCTAVE_API std::istream& operator >> (std::istream& is,
SparseComplexMatrix& a);
};
extern OCTAVE_API SparseComplexMatrix operator * (const SparseMatrix&,
const SparseComplexMatrix&);
extern OCTAVE_API SparseComplexMatrix operator * (const SparseComplexMatrix&,
const SparseMatrix&);
extern OCTAVE_API SparseComplexMatrix operator * (const SparseComplexMatrix&,
const SparseComplexMatrix&);
extern OCTAVE_API ComplexMatrix operator * (const Matrix&,
const SparseComplexMatrix&);
extern OCTAVE_API ComplexMatrix operator * (const ComplexMatrix&,
const SparseMatrix&);
extern OCTAVE_API ComplexMatrix operator * (const ComplexMatrix&,
const SparseComplexMatrix&);
extern OCTAVE_API ComplexMatrix mul_trans (const ComplexMatrix&,
const SparseComplexMatrix&);
extern OCTAVE_API ComplexMatrix mul_herm (const ComplexMatrix&,
const SparseComplexMatrix&);
extern OCTAVE_API ComplexMatrix operator * (const SparseMatrix&,
const ComplexMatrix&);
extern OCTAVE_API ComplexMatrix operator * (const SparseComplexMatrix&,
const Matrix&);
extern OCTAVE_API ComplexMatrix operator * (const SparseComplexMatrix&,
const ComplexMatrix&);
extern OCTAVE_API ComplexMatrix trans_mul (const SparseComplexMatrix&,
const ComplexMatrix&);
extern OCTAVE_API ComplexMatrix herm_mul (const SparseComplexMatrix&,
const ComplexMatrix&);
extern OCTAVE_API SparseComplexMatrix operator * (const DiagMatrix&,
const SparseComplexMatrix&);
extern OCTAVE_API SparseComplexMatrix operator * (const SparseComplexMatrix&,
const DiagMatrix&);
extern OCTAVE_API SparseComplexMatrix operator * (const ComplexDiagMatrix&,
const SparseMatrix&);
extern OCTAVE_API SparseComplexMatrix operator * (const SparseMatrix&,
const ComplexDiagMatrix&);
extern OCTAVE_API SparseComplexMatrix operator * (const ComplexDiagMatrix&,
const SparseComplexMatrix&);
extern OCTAVE_API SparseComplexMatrix operator * (const SparseComplexMatrix&,
const ComplexDiagMatrix&);
extern OCTAVE_API SparseComplexMatrix operator + (const ComplexDiagMatrix&,
const SparseMatrix&);
extern OCTAVE_API SparseComplexMatrix operator + (const DiagMatrix&,
const SparseComplexMatrix&);
extern OCTAVE_API SparseComplexMatrix operator + (const ComplexDiagMatrix&,
const SparseComplexMatrix&);
extern OCTAVE_API SparseComplexMatrix operator + (const SparseMatrix&,
const ComplexDiagMatrix&);
extern OCTAVE_API SparseComplexMatrix operator + (const SparseComplexMatrix&,
const DiagMatrix&);
extern OCTAVE_API SparseComplexMatrix operator + (const SparseComplexMatrix&,
const ComplexDiagMatrix&);
extern OCTAVE_API SparseComplexMatrix operator - (const ComplexDiagMatrix&,
const SparseMatrix&);
extern OCTAVE_API SparseComplexMatrix operator - (const DiagMatrix&,
const SparseComplexMatrix&);
extern OCTAVE_API SparseComplexMatrix operator - (const ComplexDiagMatrix&,
const SparseComplexMatrix&);
extern OCTAVE_API SparseComplexMatrix operator - (const SparseMatrix&,
const ComplexDiagMatrix&);
extern OCTAVE_API SparseComplexMatrix operator - (const SparseComplexMatrix&,
const DiagMatrix&);
extern OCTAVE_API SparseComplexMatrix operator - (const SparseComplexMatrix&,
const ComplexDiagMatrix&);
extern OCTAVE_API SparseComplexMatrix operator * (const PermMatrix&,
const SparseComplexMatrix&);
extern OCTAVE_API SparseComplexMatrix operator * (const SparseComplexMatrix&,
const PermMatrix&);
extern OCTAVE_API SparseComplexMatrix min (const Complex& c,
const SparseComplexMatrix& m);
extern OCTAVE_API SparseComplexMatrix min (const SparseComplexMatrix& m,
const Complex& c);
extern OCTAVE_API SparseComplexMatrix min (const SparseComplexMatrix& a,
const SparseComplexMatrix& b);
extern OCTAVE_API SparseComplexMatrix max (const Complex& c,
const SparseComplexMatrix& m);
extern OCTAVE_API SparseComplexMatrix max (const SparseComplexMatrix& m,
const Complex& c);
extern OCTAVE_API SparseComplexMatrix max (const SparseComplexMatrix& a,
const SparseComplexMatrix& b);
SPARSE_SMS_CMP_OP_DECLS (SparseComplexMatrix, Complex, OCTAVE_API)
SPARSE_SMS_BOOL_OP_DECLS (SparseComplexMatrix, Complex, OCTAVE_API)
SPARSE_SSM_CMP_OP_DECLS (Complex, SparseComplexMatrix, OCTAVE_API)
SPARSE_SSM_BOOL_OP_DECLS (Complex, SparseComplexMatrix, OCTAVE_API)
SPARSE_SMSM_CMP_OP_DECLS (SparseComplexMatrix, SparseComplexMatrix, OCTAVE_API)
SPARSE_SMSM_BOOL_OP_DECLS (SparseComplexMatrix, SparseComplexMatrix, OCTAVE_API)
SPARSE_FORWARD_DEFS (MSparse, SparseComplexMatrix, ComplexMatrix, Complex)
#endif
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