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.
typedef unspecified_type	Point_2
	The point type.
typedef unspecified_type	Vector_2
	The vector type.
typedef unspecified_type	Vector_field_2
	The vector field type.

Creation
	Integrator_2 ()
	Default constructor.

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.
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.
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.

Member Function Documentation

operator()() [1/3]

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.

operator()() [2/3]

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.

operator()() [3/3]

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.