\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)

CGAL 4.8 - 2D Placement of Streamlines

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VectorField_2 Concept Reference
Concepts

## Definition

The concept `VectorField_2` describes the set of requirements for the first template parameter of the class `CGAL::Stream_lines_2<VectorField_2,Integrator_2>`. This concept provides the types of the geometric primitives used in the placement of streamlines and some functions for answering different queries.

Has Models:

  `CGAL::Regular_grid_2<StreamLinesTraits_2>`

  `CGAL::Triangular_field_2<StreamLinesTraits_2>`

## Types
typedef unspecified_type | Geom_traits
| The traits class.
typedef unspecified_type | FT
| The scalar type.
typedef unspecified_type | Point_2
| The point type.
typedef unspecified_type | Vector_2
| The vector type.

## Creation
| VectorField_2 ()
| Any constructor has to allow the user to fill the vector values, i.e., assign a vector to each position within the domain.

## Query Functions
Geom_traits::Iso_rectangle_2 | bbox ()
| returns the bounding box of the whole domain.
std::pair< Vector_2, FT > | get_field (Point_2 p)
| returns the vector field value and the local density. More...
bool | is_in_domain (Point_2 p)
| returns `true` if the point `p` is inside the domain boundaries, `false` otherwise.
FT | get_integration_step (Point_2 p)
| returns the integration step at the point `p`, i.e., the distance between `p` and the next point in the polyline. More...

## Member Function Documentation

std::pair<Vector_2,FT> VectorField_2::get_field | ( | Point_2 | p) |  |

returns the vector field value and the local density.

Precondition
  `is_in_domain(p)` must be `true`.

FT VectorField_2::get_integration_step | ( | Point_2 | p) |  |

returns the integration step at the point `p`, i.e., the distance between `p` and the next point in the polyline.

Precondition
  `is_in_domain(p)` must be `true`.