Integrator_2 Concept Reference

Definition

The concept Integrator_2 describes the set of requirements for the second template parameter of the class CGAL::Stream_lines_2<VectorField_2,Integrator_2>. This concept provides the operation that integrates a new point from a given point with a predefined step, and according to a specified vector.

Has Models:

CGAL::Euler_integrator_2<VectorField_2>

CGAL::Runge_kutta_integrator_2<VectorField_2>

Types
typedef unspecified_type	FT
	The scalar type. More...
typedef unspecified_type	Point_2
	The point type. More...
typedef unspecified_type	Vector_2
	The vector type. More...
typedef unspecified_type	Vector_field_2
	The vector field type. More...

Creation
	Integrator_2 ()
	Default constructor. More...

Operations
The following operations return the newly integrated point.
Point_2	operator() (Point_2 p, Vector_field_2 vector_field_2)
	Returns the new position from the actual position defined by p, according to the vector given by vector_field_2 at p. More...
Point_2	operator() (Point_2 p, Vector_field_2 vector_field_2, FT integration_step)
	As above. The integration step is defined by integration_step. More...
Point_2	operator() (Point_2 p, Vector_field_2 vector_field_2, FT integration_step, bool direction)
	As above. In addition, this function integrates forward if direction is true, and backward if it is false. More...

Member Typedef Documentation

typedef unspecified_type Integrator_2::FT

The scalar type.

typedef unspecified_type Integrator_2::Point_2

The point type.

typedef unspecified_type Integrator_2::Vector_2

The vector type.

typedef unspecified_type Integrator_2::Vector_field_2

The vector field type.

Constructor & Destructor Documentation

Integrator_2::Integrator_2

(

)

Default constructor.

Member Function Documentation

Point_2 Integrator_2::operator()	(	Point_2	p,
		Vector_field_2	vector_field_2
	)

Returns the new position from the actual position defined by p, according to the vector given by vector_field_2 at p.

Precondition

vector_field_2.is_in_domain(p) must be true.

Point_2 Integrator_2::operator()	(	Point_2	p,
		Vector_field_2	vector_field_2,
		FT	integration_step
	)

As above. The integration step is defined by integration_step.

Precondition

vector_field_2.is_in_domain(p) must be true.

Point_2 Integrator_2::operator()	(	Point_2	p,
		Vector_field_2	vector_field_2,
		FT	integration_step,
		bool	direction
	)

As above. In addition, this function integrates forward if direction is true, and backward if it is false.

Precondition

vector_field_2.is_in_domain(p) must be true.