matrix.hpp File Reference

The matrix and vector template library. More...

#include "helper.hpp"
#include "matrix-mem.hpp"
#include <list>
#include <cctype>
#include <iostream>
#include "matrix-ops.hpp"
#include "matrix-ops2.hpp"

Go to the source code of this file.

Classes
class	plll::linalg::base_colvector< T, Rows, StorageTraits, MO >
	Represents a column vector with coefficients in T. More...
class	plll::linalg::base_colvector< T, Rows, StorageTraits, MO >
	Represents a column vector with coefficients in T. More...
class	plll::linalg::base_matrix< T, Rows, Cols, StorageTraits, MathObject >
	Represents a matrix with coefficients in T. More...
class	plll::linalg::base_matrix< T, Rows, Cols, StorageTraits, MathObject >
	Represents a matrix with coefficients in T. More...
class	plll::linalg::base_rowvector< T, Cols, StorageTraits, MO >
	Represents a row vector with coefficients in T. More...
class	plll::linalg::base_rowvector< T, Cols, StorageTraits, MO >
	Represents a row vector with coefficients in T. More...
class	plll::linalg::implementation::col_count_storage< Cols >
class	plll::linalg::implementation::col_count_storage< Flexible >
class	plll::linalg::base_matrix< T, Rows, Cols, StorageTraits, MathObject >::ColEnumerator
	An enumerator for a matrix' column. More...
class	plll::linalg::base_matrix< T, Rows, Cols, StorageTraits, MathObject >::ColsEnumerator
	Enumerates over all columns. For every column, a ColsEnumerator::ColEnumerator object is returned which allows to enumerate over that column. More...
class	plll::linalg::implementation::expressions::componentwise_operation< Operation >
class	plll::linalg::base_matrix< T, Rows, Cols, StorageTraits, MathObject >::ConstColEnumerator
	An enumerator for a matrix' column. More...
class	plll::linalg::base_matrix< T, Rows, Cols, StorageTraits, MathObject >::ConstColsEnumerator
	Enumerates over all columns. For every column, a ConstColsEnumerator::ColEnumerator object is returned which allows to enumerate over that column. More...
class	plll::linalg::base_matrix< T, Rows, Cols, StorageTraits, MathObject >::ConstEnumerator
	An enumerator for matrix elements. More...
class	plll::linalg::implementation::expressions::ConstMatrixWrapper< MatrixType >
class	plll::linalg::base_matrix< T, Rows, Cols, StorageTraits, MathObject >::ConstRowsEnumerator
	Enumerates over all rows. For every row, a ConstRowsEnumerator::RowEnumerator object is returned which allows to enumerate over that row. More...
class	plll::linalg::implementation::expressions::CWAdd< OpA, OpB >
class	plll::linalg::implementation::expressions::CWDiv< OpA, OpB >
class	plll::linalg::implementation::expressions::CWMod< OpA, OpB >
class	plll::linalg::implementation::expressions::CWMul< OpA, OpB >
class	plll::linalg::implementation::expressions::CWSub< OpA, OpB >
class	plll::linalg::base_matrix< T, Rows, Cols, StorageTraits, MathObject >::Enumerator
	An enumerator for matrix elements. More...
class	plll::linalg::implementation::expressions::expr< Operator, Data >
class	plll::linalg::base_matrix< T, Rows, Cols, StorageTraits, MathObject >::GetCoeffSteps_Type
	Allows to retrieve a coefficient of the matrix in two steps. More...
class	plll::linalg::implementation::expressions::identity_operation< Data >
class	plll::linalg::implementation::Initialize_Impl< S, def >
class	plll::linalg::implementation::Initialize_Impl< S, false >
class	plll::linalg::implementation::Initialize_Impl< S, true >
class	plll::linalg::math_colvector< T, Rows, StorageTraits >
	Represents a math column vector with coefficients in T. More...
class	plll::linalg::math_colvector< T, Rows, StorageTraits >
	Represents a math column vector with coefficients in T. More...
class	plll::linalg::math_matrix< T, Rows, Cols, StorageTraits >
	Represents a math matrix with coefficients in T. More...
class	plll::linalg::math_matrix< T, Rows, Cols, StorageTraits >
	Represents a math matrix with coefficients in T. More...
class	plll::linalg::math_rowvector< T, Cols, StorageTraits >
	Represents a math row vector with coefficients in T. More...
class	plll::linalg::math_rowvector< T, Cols, StorageTraits >
	Represents a math row vector with coefficients in T. More...
class	plll::linalg::implementation::expressions::matrix_matrix_multiplication< PairMatrices >
class	plll::linalg::implementation::expressions::matrix_negation< MTIn >
class	plll::linalg::implementation::expressions::matrix_scalar_operation< Operation >
struct	plll::linalg::implementation::MatrixInfo< MatrixType >
struct	plll::linalg::implementation::MatrixInfo< base_colvector< T, Rows, ST, MO > >
struct	plll::linalg::implementation::MatrixInfo< base_matrix< T, Rows, Cols, ST, MO > >
struct	plll::linalg::implementation::MatrixInfo< base_rowvector< T, Cols, ST, MO > >
struct	plll::linalg::implementation::MatrixInfo< const base_colvector< T, Rows, ST, MO > >
struct	plll::linalg::implementation::MatrixInfo< const base_matrix< T, Rows, Cols, ST, MO > >
struct	plll::linalg::implementation::MatrixInfo< const base_rowvector< T, Cols, ST, MO > >
struct	plll::linalg::implementation::MatrixInfo< const expressions::expr< Operator, Data > >
struct	plll::linalg::implementation::MatrixInfo< const math_colvector< T, Rows, ST > >
struct	plll::linalg::implementation::MatrixInfo< const math_matrix< T, Rows, Cols, ST > >
struct	plll::linalg::implementation::MatrixInfo< const math_rowvector< T, Cols, ST > >
struct	plll::linalg::implementation::MatrixInfo< expressions::expr< Operator, Data > >
struct	plll::linalg::implementation::MatrixInfo< math_colvector< T, Rows, ST > >
struct	plll::linalg::implementation::MatrixInfo< math_matrix< T, Rows, Cols, ST > >
struct	plll::linalg::implementation::MatrixInfo< math_rowvector< T, Cols, ST > >
class	plll::linalg::implementation::MatrixPrinter< MatrixType, Rows, Cols, forceGeneric >
class	plll::linalg::implementation::MatrixPrinter< MatrixType, Rows, 1, false >
class	plll::linalg::implementation::MatrixScanner< MatrixType, Rows, Cols >
class	plll::linalg::implementation::expressions::MatrixTemporaryWrapper< MatrixType >
class	plll::linalg::implementation::expressions::MatrixWrapper< MatrixType >
class	plll::linalg::implementation::expressions::MSDiv< OpA, OpB >
class	plll::linalg::implementation::expressions::MSMod< OpA, OpB >
class	plll::linalg::implementation::expressions::MSMul< OpA, OpB >
class	plll::linalg::implementation::expressions::sub_1d< Dim >::operation_col< Rows >
class	plll::linalg::implementation::expressions::sub< Rows, Cols >::operation_generic< Rows, Cols >
class	plll::linalg::implementation::expressions::sub_1d< Dim >::operation_row< Cols >
class	plll::linalg::implementation::row_count_storage< Rows >
class	plll::linalg::implementation::row_count_storage< Flexible >
class	plll::linalg::base_matrix< T, Rows, Cols, StorageTraits, MathObject >::RowsEnumerator
	Enumerates over all rows. For every row, a RowsEnumerator::RowEnumerator object is returned which allows to enumerate over that row. More...
class	plll::linalg::implementation::expressions::ScalarWrapper< ScalarType >
class	plll::linalg::implementation::expressions::SMMul< OpA, OpB >
class	plll::linalg::implementation::expressions::sub< Rows, Cols >
class	plll::linalg::implementation::expressions::sub_1d< Dim >
class	plll::linalg::implementation::expressions::transpose< MT >

Namespaces
	plll
	Contains the plll library.
	plll::linalg
	Contains the matrix and vector library as long as other linear algebra functionality.

Typedefs
typedef unsigned int	plll::linalg::size_type

Enumerations
enum	{ plll::linalg::Flexible = -1 }

Functions
Initializers.
template<typename S >
implementation::Initialize_Impl < S, false >	plll::linalg::Initialize (const S &ref) PLLL_INTERNAL_NOTHROW_POSTFIX_INLINE
	Creates an initializer object to initialize with the given reference. More...
template<typename S >
implementation::Initialize_Impl < S, true >	plll::linalg::Initialize () PLLL_INTERNAL_NOTHROW_POSTFIX_CONDITIONAL(noexcept(S()))
	Creates an initializer object to default-initialize with type S. More...
Swap functions.
template<typename T , int R, int C, typename ST , bool MO>
void	plll::linalg::swap (base_matrix< T, R, C, ST, MO > &A, base_matrix< T, R, C, ST, MO > &B) PLLL_INTERNAL_NOTHROW_POSTFIX_INLINE
	Swaps matrices A and B efficiently. More...
template<typename T , int R1, int C1, int R2, int C2, typename ST , bool MO1, bool MO2>
void	plll::linalg::swap (base_matrix< T, R1, C1, ST, MO1 > &A, base_matrix< T, R2, C2, ST, MO2 > &B) PLLL_INTERNAL_NOTHROW_POSTFIX_INLINE
	Swaps matrices A and B efficiently. More...
template<template< typename AData > class AOp, typename AData , template< typename BData > class BOp, typename BData >
void	plll::linalg::swap (const implementation::expressions::expr< AOp, AData > &A, const implementation::expressions::expr< BOp, BData > &B) PLLL_INTERNAL_NOTHROW_POSTFIX_CONDITIONAL(noexcept(implementation::do_swap(A, B)))
	Swaps matrices A and B componentwise. More...
template<template< typename AData > class AOp, typename AData , typename BT , int BRows, int BCols, typename BST , bool BMO>
void	plll::linalg::swap (const implementation::expressions::expr< AOp, AData > &A, base_matrix< BT, BRows, BCols, BST, BMO > &B) PLLL_INTERNAL_NOTHROW_POSTFIX_CONDITIONAL(noexcept(linalg::swap(A, implementation::expressions::make_matrix_expression(B))))
	Swaps matrices A and B componentwise. More...
template<typename AT , int ARows, int ACols, typename AST , bool AMO, template< typename BData > class BOp, typename BData >
void	plll::linalg::swap (base_matrix< AT, ARows, ACols, AST, AMO > &A, const implementation::expressions::expr< BOp, BData > &B) PLLL_INTERNAL_NOTHROW_POSTFIX_CONDITIONAL(noexcept(linalg::swap(implementation::expressions::make_matrix_expression(A), B)))
	Swaps matrices A and B componentwise. More...
template<typename T , int ARows, int ACols, typename AST , bool AMO, int BRows, int BCols, typename BST , bool BMO>
void	plll::linalg::swap (base_matrix< T, ARows, ACols, AST, AMO > &A, base_matrix< T, BRows, BCols, BST, BMO > &B) PLLL_INTERNAL_NOTHROW_POSTFIX_CONDITIONAL(noexcept(linalg::swap(implementation::expressions::make_matrix_expression(A), implementation::expressions::make_matrix_expression(B))))
	Swaps matrices A and B componentwise. More...
Assignment functions.
template<template< typename SourceData > class SourceOp, typename SourceData , template< typename DestData > class DestOp, typename DestData , bool move>
void	plll::linalg::assign (const implementation::expressions::expr< DestOp, DestData > &destination, const implementation::expressions::expr< SourceOp, SourceData > &source, helper::BoolToType< move > ittm)
	Assigns the content of matrix source to matrix destination. Allows to force move. More...
template<template< typename SourceData > class SourceOp, typename SourceData , template< typename DestData > class DestOp, typename DestData >
void	plll::linalg::assign (const implementation::expressions::expr< DestOp, DestData > &destination, const implementation::expressions::expr< SourceOp, SourceData > &source)
	Assigns the content of matrix source to matrix destination. More...
template<typename SourceT , int SourceRows, int SourceCols, typename SourceST , bool SourceMO, template< typename DestData > class DestOp, typename DestData >
void	plll::linalg::assign (const implementation::expressions::expr< DestOp, DestData > &destination, const base_matrix< SourceT, SourceRows, SourceCols, SourceST, SourceMO > &source)
	Assigns the content of matrix source to matrix destination. More...
template<template< typename SourceData > class SourceOp, typename SourceData , typename DestT , int DestRows, int DestCols, typename DestST , bool DestMO>
void	plll::linalg::assign (base_matrix< DestT, DestRows, DestCols, DestST, DestMO > &destination, const implementation::expressions::expr< SourceOp, SourceData > &source)
	Assigns the content of matrix source to matrix destination. More...
template<typename SourceT , int SourceRows, int SourceCols, typename SourceST , bool SourceMO, typename DestT , int DestRows, int DestCols, typename DestST , bool DestMO>
void	plll::linalg::assign (base_matrix< DestT, DestRows, DestCols, DestST, DestMO > &destination, const base_matrix< SourceT, SourceRows, SourceCols, SourceST, SourceMO > &source)
	Assigns the content of matrix source to matrix destination. More...
Transpose functions.
template<template< typename SourceData > class SourceOp, typename SourceData , template< typename DestData > class DestOp, typename DestData , bool move>
void	plll::linalg::transpose (const implementation::expressions::expr< DestOp, DestData > &destination, const implementation::expressions::expr< SourceOp, SourceData > &source, helper::BoolToType< move > ittm)
	Transposes the content of matrix source and stores the result in the matrix destination. Allows to force move. More...
template<template< typename SourceData > class SourceOp, typename SourceData , template< typename DestData > class DestOp, typename DestData >
void	plll::linalg::transpose (const implementation::expressions::expr< DestOp, DestData > &destination, const implementation::expressions::expr< SourceOp, SourceData > &source)
	Transposes the content of matrix source and stores the result in the matrix destination. More...
template<typename SourceT , int SourceRows, int SourceCols, typename SourceST , bool SourceMO, template< typename DestData > class DestOp, typename DestData >
void	plll::linalg::transpose (const implementation::expressions::expr< DestOp, DestData > &destination, const base_matrix< SourceT, SourceRows, SourceCols, SourceST, SourceMO > &source)
	Transposes the content of matrix source and stores the result in the matrix destination. More...
template<template< typename SourceData > class SourceOp, typename SourceData , typename DestT , int DestRows, int DestCols, typename DestST , bool DestMO>
void	plll::linalg::transpose (base_matrix< DestT, DestRows, DestCols, DestST, DestMO > &destination, const implementation::expressions::expr< SourceOp, SourceData > &source)
	Transposes the content of matrix source and stores the result in the matrix destination. More...
template<typename SourceT , int SourceRows, int SourceCols, typename SourceST , bool SourceMO, typename DestT , int DestRows, int DestCols, typename DestST , bool DestMO>
void	plll::linalg::transpose (base_matrix< DestT, DestRows, DestCols, DestST, DestMO > &destination, const base_matrix< SourceT, SourceRows, SourceCols, SourceST, SourceMO > &source)
	Transposes the content of matrix source and stores the result in the matrix destination. More...
Stream input/output
template<typename MatrixType , bool forceGeneric>
void	plll::linalg::print_matrix (std::ostream &s, const MatrixType &mat)
	Prints the given matrix mat to the output stream s. More...
template<typename MatrixType >
void	plll::linalg::print_matrix (std::ostream &s, const MatrixType &mat, bool forceGeneric=false)
	Prints the given matrix mat to the output stream s. More...
template<typename T , int Rows, int Cols, typename ST , bool MO>
std::ostream &	plll::linalg::operator<< (std::ostream &s, const base_matrix< T, Rows, Cols, ST, MO > &mat)
	Prints the given matrix mat to the output stream s. More...
template<template< typename DataType > class Operator, typename Data >
std::ostream &	plll::linalg::operator<< (std::ostream &s, const implementation::expressions::expr< Operator, Data > &mat)
	Prints the given matrix mat to the output stream s. More...
template<typename MatrixType >
bool	plll::linalg::scan_matrix (std::istream &s, MatrixType &mat)
	Reads a matrix from the input stream s and stores it in mat. More...
template<typename MatrixType >
bool	plll::linalg::scan_matrix (std::istream &s, const MatrixType &mat)
	Reads a matrix from the input stream s and stores it in mat. More...
template<typename MatrixType , typename T >
bool	plll::linalg::scan_matrix (std::istream &s, MatrixType &mat, const T &default_object)
	Reads a matrix from the input stream s and stores it in mat. More...
template<typename MatrixType , typename T >
bool	plll::linalg::scan_matrix (std::istream &s, const MatrixType &mat, const T &default_object)
	Reads a matrix from the input stream s and stores it in mat. More...
template<typename T , int Rows, int Cols, typename ST , bool MO>
std::istream &	plll::linalg::operator>> (std::istream &s, base_matrix< T, Rows, Cols, ST, MO > &mat)
	Reads a matrix from the input stream s and stores it in mat. More...
template<template< typename DataType > class Op, typename Data >
std::istream &	plll::linalg::operator>> (std::istream &s, const implementation::expressions::expr< Op, Data > &mat)
	Reads a matrix from the input stream s and stores it in mat. More...

Detailed Description

The matrix and vector template library.

This header provides the matrix and vector template library for plll. It declares the main templates and includes the other header files related to the library. See Matrices and Vectors for documentation of the matrix and vector library.

Definition in file matrix.hpp.