Matrix.hpp File Reference

Definition of matrix data types. More...

#include <cstddef>
#include <cstdint>
#include <algorithm>
#include <vector>
#include <limits>
#include <unordered_map>
#include <type_traits>
#include <utility>
#include <initializer_list>
#include <memory>
#include "CDPL/Math/Check.hpp"
#include "CDPL/Math/MatrixExpression.hpp"
#include "CDPL/Math/MatrixAssignment.hpp"
#include "CDPL/Math/DirectAssignmentProxy.hpp"
#include "CDPL/Math/Functional.hpp"
#include "CDPL/Math/TypeTraits.hpp"
#include "CDPL/Math/SparseContainerElement.hpp"
#include "CDPL/Math/LUDecomposition.hpp"
#include "CDPL/Base/Exceptions.hpp"

Go to the source code of this file.

Classes
class	CDPL::Math::MatrixReference< M >
	Lightweight matrix expression that proxies a reference to an underlying matrix container. More...
class	CDPL::Math::InitListMatrix< T >
	Lightweight matrix container that wraps a nested std::initializer_list of T values. More...
class	CDPL::Math::Matrix< T, A >
	Dynamically-sized dense row-major matrix with configurable underlying storage. More...
class	CDPL::Math::SparseMatrix< T, A >
	Sparse matrix that stores only non-default entries keyed by a packed (row, column) identifier. More...
class	CDPL::Math::BoundedMatrix< T, M, N >
	Variable-size matrix with fixed upper capacities M \( \times \) N stored in a stack-allocated array. More...
class	CDPL::Math::CMatrix< T, M, N >
	Fixed-size dense matrix of dimensions M \( \times \) N backed by a 2D C-array (no dynamic allocation). More...
class	CDPL::Math::ZeroMatrix< T >
	Constant matrix expression whose entries are all zero. More...
class	CDPL::Math::ScalarMatrix< T >
	Constant matrix expression in which every entry equals the same scalar value. More...
class	CDPL::Math::IdentityMatrix< T >
	Constant identity-matrix expression ( \( 1 \) on the diagonal, \( 0 \) elsewhere). More...
struct	CDPL::Math::VectorTemporaryTraits< MatrixReference< M > >
	Math::VectorTemporaryTraits specialization inheriting the temporary type of the underlying matrix for a Math::MatrixReference view. More...
struct	CDPL::Math::VectorTemporaryTraits< const MatrixReference< M > >
	Math::VectorTemporaryTraits specialization inheriting the temporary type of the underlying matrix for a const Math::MatrixReference view. More...
struct	CDPL::Math::MatrixTemporaryTraits< MatrixReference< M > >
	Math::MatrixTemporaryTraits specialization inheriting the temporary type of the underlying matrix for a Math::MatrixReference view. More...
struct	CDPL::Math::MatrixTemporaryTraits< const MatrixReference< M > >
	Math::MatrixTemporaryTraits specialization inheriting the temporary type of the underlying matrix for a const Math::MatrixReference view. More...

Namespaces
	CDPL
	The namespace of the Chemical Data Processing Library.
	CDPL::Math
	Contains classes and functions related to mathematics.

Typedefs
typedef ZeroMatrix< float >	CDPL::Math::FZeroMatrix
	Memory-efficient immutable matrix where all elements have the value zero of type float. More...
typedef ZeroMatrix< double >	CDPL::Math::DZeroMatrix
	Memory-efficient immutable matrix where all elements have the value zero of type double. More...
typedef ZeroMatrix< long >	CDPL::Math::LZeroMatrix
	Memory-efficient immutable matrix where all elements have the value zero of type long. More...
typedef ZeroMatrix< unsigned long >	CDPL::Math::ULZeroMatrix
	Memory-efficient immutable matrix where all elements have the value zero of type unsigned long. More...
typedef ScalarMatrix< float >	CDPL::Math::FScalarMatrix
	Memory-efficient immutable matrix where all elements have the same value of type float. More...
typedef ScalarMatrix< double >	CDPL::Math::DScalarMatrix
	Memory-efficient immutable matrix where all elements have the same value of type double. More...
typedef ScalarMatrix< long >	CDPL::Math::LScalarMatrix
	Memory-efficient immutable matrix where all elements have the same value of type long. More...
typedef ScalarMatrix< unsigned long >	CDPL::Math::ULScalarMatrix
	Memory-efficient immutable matrix where all elements have the same value of type unsigned long. More...
typedef IdentityMatrix< float >	CDPL::Math::FIdentityMatrix
	Memory-efficient immutable identity matrix with element values of type float. More...
typedef IdentityMatrix< double >	CDPL::Math::DIdentityMatrix
	Memory-efficient immutable identity matrix with element values of type double. More...
typedef IdentityMatrix< long >	CDPL::Math::LIdentityMatrix
	Memory-efficient immutable identity matrix with element values of type long. More...
typedef IdentityMatrix< unsigned long >	CDPL::Math::ULIdentityMatrix
	Memory-efficient immutable identity matrix with element values of type unsigned long. More...
typedef Matrix< float >	CDPL::Math::FMatrix
	Unbounded dense matrix holding floating point values of type float.. More...
typedef Matrix< double >	CDPL::Math::DMatrix
	Unbounded dense matrix holding floating point values of type double.. More...
typedef Matrix< long >	CDPL::Math::LMatrix
	Unbounded dense matrix holding signed integers of type long. More...
typedef Matrix< unsigned long >	CDPL::Math::ULMatrix
	Unbounded dense matrix holding unsigned integers of type unsigned long. More...
typedef CMatrix< float, 2, 2 >	CDPL::Math::Matrix2F
	Bounded 2x2 matrix holding floating point values of type float. More...
typedef CMatrix< float, 3, 3 >	CDPL::Math::Matrix3F
	Bounded 3x3 matrix holding floating point values of type float. More...
typedef CMatrix< float, 4, 4 >	CDPL::Math::Matrix4F
	Bounded 4x4 matrix holding floating point values of type float. More...
typedef CMatrix< double, 2, 2 >	CDPL::Math::Matrix2D
	Bounded 2x2 matrix holding floating point values of type double. More...
typedef CMatrix< double, 3, 3 >	CDPL::Math::Matrix3D
	Bounded 3x3 matrix holding floating point values of type double. More...
typedef CMatrix< double, 4, 4 >	CDPL::Math::Matrix4D
	Bounded 4x4 matrix holding floating point values of type double. More...
typedef CMatrix< long, 2, 2 >	CDPL::Math::Matrix2L
	Bounded 2x2 matrix holding signed integers of type long. More...
typedef CMatrix< long, 3, 3 >	CDPL::Math::Matrix3L
	Bounded 3x3 matrix holding signed integers of type long. More...
typedef CMatrix< long, 4, 4 >	CDPL::Math::Matrix4L
	Bounded 4x4 matrix holding signed integers of type long. More...
typedef CMatrix< unsigned long, 2, 2 >	CDPL::Math::Matrix2UL
	Bounded 2x2 matrix holding unsigned integers of type unsigned long. More...
typedef CMatrix< unsigned long, 3, 3 >	CDPL::Math::Matrix3UL
	Bounded 3x3 matrix holding unsigned integers of type unsigned long. More...
typedef CMatrix< unsigned long, 4, 4 >	CDPL::Math::Matrix4UL
	Bounded 4x4 matrix holding unsigned integers of type unsigned long. More...
typedef SparseMatrix< float >	CDPL::Math::SparseFMatrix
	Unbounded sparse matrix holding floating point values of type float.. More...
typedef SparseMatrix< double >	CDPL::Math::SparseDMatrix
	Unbounded sparse matrix holding floating point values of type double.. More...
typedef SparseMatrix< long >	CDPL::Math::SparseLMatrix
	Unbounded sparse matrix holding signed integers of type long. More...
typedef SparseMatrix< unsigned long >	CDPL::Math::SparseULMatrix
	Unbounded sparse matrix holding unsigned integers of type unsigned long. More...

Functions
template<typename E >
E::ValueType	CDPL::Math::det (const MatrixExpression< E > &e)
	Returns the determinant of the matrix expression e. More...
template<typename C >
C::ValueType	CDPL::Math::det (const MatrixContainer< C > &c)
	Returns the determinant of the matrix container c (specialization avoiding an extra temporary copy when possible). More...
template<typename E , typename C >
bool	CDPL::Math::invert (const MatrixExpression< E > &e, MatrixContainer< C > &c)
	Computes the inverse of the matrix expression e and stores it in c. More...
template<typename C >
bool	CDPL::Math::invert (MatrixContainer< C > &c)
	Computes the inverse of the matrix container c in place. More...

Detailed Description

Definition of matrix data types.