CGAL 6.1.1 - CGAL and Solvers

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CGAL::Eigen_sparse_matrix< T > Struct Template Reference
Reference Manual » Linear Systems

`#include <CGAL/Eigen_sparse_matrix.h>`

Inherited by CGAL::Eigen_sparse_symmetric_matrix< T >.

## Definition

template<class T>
struct CGAL::Eigen_sparse_matrix< T >

The class `Eigen_sparse_matrix` is a wrapper around `Eigen` matrix type `Eigen::SparseMatrix` that represents general matrices, be they symmetric or not.

Is model of
  `SparseLinearAlgebraTraits_d::Matrix`

Template Parameters

  T | Number type.

See also
  `CGAL::Eigen_vector<T>`
  `CGAL::Eigen_matrix<T>`
  `CGAL::Eigen_sparse_symmetric_matrix<T>`

## Public Member Functions
| Eigen_sparse_matrix (const EigenType &et)
| Eigen_sparse_matrix ()
| Eigen_sparse_matrix (std::size_t dim, bool is_symmetric=false)
| Create a square matrix initialized with zeros.
| Eigen_sparse_matrix (int dim, bool is_symmetric=false)
| Create a square matrix initialized with zeros.
| Eigen_sparse_matrix (std::size_t rows, std::size_t columns, bool is_symmetric=false)
| Create a rectangular matrix initialized with zeros.
void | swap (Eigen_sparse_matrix &other)
| ~Eigen_sparse_matrix ()
| Delete this object and the wrapped matrix.
| Eigen_sparse_matrix (int rows, int columns, bool is_symmetric=false)
| Create a rectangular matrix initialized with zeros.
int | row_dimension () const
| Return the matrix number of rows.
int | column_dimension () const
| Return the matrix number of columns.
void | set_coef (std::size_t i_, std::size_t j_, T val, bool new_coef=false)
| Write access to a matrix coefficient: a_ij <- val.
void | add_coef (std::size_t i_, std::size_t j_, T val)
| Write access to a matrix coefficient: a_ij <- a_ij + val.
NT | get_coef (std::size_t i_, std::size_t j_) const
| Read access to a matrix coefficient.
const EigenType & | eigen_object () const
| Return the internal matrix, with type `EigenType`.
EigenType & | eigen_object ()
| Return the internal matrix, with type `EigenType`.

## Types
typedef Eigen::SparseMatrix< T > | EigenType
| The internal matrix type from Eigen.
typedef T | NT

## Constructor & Destructor Documentation

## ◆ Eigen_sparse_matrix() [1/4]

template<class T >

CGAL::Eigen_sparse_matrix< T >::Eigen_sparse_matrix | ( | std::size_t | dim,
|  | bool | is_symmetric = `false`
| ) |  |

Create a square matrix initialized with zeros.

Parameters

  dim | Matrix dimension.
  is_symmetric | Symmetric/hermitian?

## ◆ Eigen_sparse_matrix() [2/4]

template<class T >

CGAL::Eigen_sparse_matrix< T >::Eigen_sparse_matrix | ( | int | dim,
|  | bool | is_symmetric = `false`
| ) |  |

Create a square matrix initialized with zeros.

Parameters

  dim | Matrix dimension.
  is_symmetric | Symmetric/hermitian?

## ◆ Eigen_sparse_matrix() [3/4]

template<class T >

CGAL::Eigen_sparse_matrix< T >::Eigen_sparse_matrix | ( | std::size_t | rows,
|  | std::size_t | columns,
|  | bool | is_symmetric = `false`
| ) |  |

Create a rectangular matrix initialized with zeros.

Precondition
  rows == columns if `is_symmetric` is true.

Parameters

  rows | Number of rows.
  columns | Number of columns.
  is_symmetric | Symmetric/hermitian?

## ◆ Eigen_sparse_matrix() [4/4]

template<class T >

CGAL::Eigen_sparse_matrix< T >::Eigen_sparse_matrix | ( | int | rows,
|  | int | columns,
|  | bool | is_symmetric = `false`
| ) |  |

Create a rectangular matrix initialized with zeros.

Precondition
  rows == columns if `is_symmetric` is true.

Parameters

  rows | Number of rows.
  columns | Number of columns.
  is_symmetric | Symmetric/hermitian?

## Member Function Documentation

## ◆ add_coef()

template<class T >

void CGAL::Eigen_sparse_matrix< T >::add_coef | ( | std::size_t | i_,
|  | std::size_t | j_,
|  | T | val
| ) |  |

Write access to a matrix coefficient: a_ij <- a_ij + val.

Warning
  For symmetric matrices, Eigen_sparse_matrix only stores the lower triangle `add_coef()` does nothing if (i, j) belongs to the upper triangle.

Precondition
  0 <= i < row_dimension().
  0 <= j < column_dimension().

## ◆ get_coef()

template<class T >

NT CGAL::Eigen_sparse_matrix< T >::get_coef | ( | std::size_t | i_,
|  | std::size_t | j_
| ) |  | const

Read access to a matrix coefficient.

Warning
  Complexity:
  - \(O(log(n))\) if the matrix is already built.
  - \(O(n)\) if the matrix is not built. `n` being the number of entries in the matrix.

Precondition
  0 <= i < row_dimension().
  0 <= j < column_dimension().

## ◆ set_coef()

template<class T >

void CGAL::Eigen_sparse_matrix< T >::set_coef | ( | std::size_t | i_,
|  | std::size_t | j_,
|  | T | val,
|  | bool | new_coef = `false`
| ) |  |

Write access to a matrix coefficient: a_ij <- val.

Users can optimize calls to this function by setting 'new_coef' to `true` if the coefficient does not already exist in the matrix.

Warning
  For symmetric matrices, `Eigen_sparse_matrix` only stores the lower triangle and `set_coef()` does nothing if (i, j) belongs to the upper triangle.

Precondition
  0 <= i < row_dimension().
  0 <= j < column_dimension().