A diamond in the plane. More...
#include <diamond2.h>
Inheritance diagram for Diamond2:
Public Member Functions | |
| Diamond2 (const Vector2 &, const Vector2 &) | |
| Creates a diamond given the vectors defining its bounding box. More... | |
| Diamond2 (const Vector2 &, const double &) | |
| Creates a diamond given its center and axes lengths. More... | |
| Diamond2 (const Vector2 &, const double &, const double &) | |
| Creates a diamond given its center and axes lengths. More... | |
| double | Area () const |
| Compute the area of the diamond. More... | |
| double | Perimeter () const |
| Compute the perimeter of the diamond. More... | |
| Box2 | GetBox () const |
| Return the bounding box of the shape. | |
| double | R (const Vector2 &) const |
| Compute the squared distance between a point and the diamond. More... | |
| Vector2 | Vertex (int) const |
| Return the i-th vertex. More... | |
| Diamond2 | Translated (const Vector2 &) const |
| Translates the diamond. More... | |
| Diamond2 | Scaled (const Vector2 &) const |
| Scales the diamond. More... | |
| void | Draw (QGraphicsScene &, const QPen &, const QBrush &) const |
| Draw a diamond. More... | |
Additional Inherited Members | |
 Protected Member Functions inherited from Box2 | |
| Box2 () | |
| Empty. | |
| Box2 (const double &) | |
| Create a square box centered at the origin and of given half side length. More... | |
| Box2 (const double &, const double &) | |
| Create a box centered at the origin and of given dimensions. More... | |
| Box2 (const Vector2 &) | |
| Create a box from a single vertex. More... | |
| Box2 (const Vector2 &, const Vector2 &) | |
| Create a box. More... | |
| Box2 (const Vector2 &, const double &) | |
| Creates a box. More... | |
| Box2 (const Box &) | |
| Create a box in the plane given a box. More... | |
| Box2 (const Box2 &, const Box2 &) | |
| Create a box embedding two boxes. More... | |
| Box2 (const Box2 &, const Matrix2 &) | |
| Creates an axis aligned bounding box from a box and a transformation matrix. More... | |
| Box2 (const Box2 &, const Frame2 &) | |
| Creates an axis aligned bounding box from a box and a frame. More... | |
| Box2 (const QVector< Vector2 > &) | |
| Compute the bounding box of a set of points. More... | |
| Box2 (const QSize &) | |
| Create a box from a Qt size. More... | |
| Vector2 & | operator[] (int) |
| Returns either end vertex of the box. | |
| Vector2 | operator[] (int) const |
| Overloaded. | |
| Vector2 | Size () const |
| Compute the size (width and height) of a box. | |
| double | Width () const |
| Compute the width of a box. More... | |
| double | Height () const |
| Compute the height of a box. More... | |
| Vector2 | Diagonal () const |
| Returns the diagonal of the box. | |
| double | Radius () const |
| Returns the radius of the box, i.e. the length of the half diagonal of the box. | |
| double | Area () const |
| Compute the surface area of a box. | |
| double | Perimeter () const |
| Compute the perimeter of the box. | |
| Vector2 | Center () const |
| Returns the center of the box. | |
| Vector2 | Vertex (int) const |
| Returns the k-th vertex of the box. More... | |
| Vector2 | Vertex (int, int, int, int) const |
| Compute the coordinates of a grid aligned point. More... | |
| Box2 | Sub (int) const |
| Computes the sub-box in the n-th quadrant. More... | |
| double | R (const Vector2 &) const |
| Compute the squared distance between the box and a point. More... | |
| double | Signed (const Vector2 &) const |
| Computes the signed distance between the box and a point. More... | |
| double | R (const Box2 &) const |
| Compute the squared Euclidean distance between two boxes. More... | |
| void | Translate (const Vector2 &) |
| Translates a box. More... | |
| void | Scale (const Vector2 &) |
| Scales a box. More... | |
| void | Scale (const double &) |
| Scales a box. More... | |
| Box2 | Translated (const Vector2 &) const |
| Translated box. More... | |
| Box2 | Scaled (const double &) const |
| Scales a box and return the scaled box. More... | |
| Box2 | Scaled (const Vector2 &) const |
| Scales a box and return the scaled box. More... | |
| Box2 | Scaled (const QSize &) const |
| Scales a box according to a Qt size. More... | |
| Box2 | ScaledTo (const double &) const |
| Scale the box so that the largest side should equal the argument value. More... | |
| Box2 | Rotated (const double &) const |
| Compute the box embedding the rotated box. More... | |
| Box2 | Rotated (const Matrix2 &) const |
| Compute the box embedding the rotated box. More... | |
| Box2 | Centered () const |
| Compute the box translated to origin. More... | |
| void | SetCubic () |
| Creates the tightest embedding cube from an arbitrarilly shaped box. More... | |
| void | SetInscribedCubic () |
| Creates the biggest cube inscribed in the box. More... | |
| Box2 | Cube () const |
| Return the tightest embedding cube from an arbitrarilly shaped box. More... | |
| void | Extend (const double &) |
| Extend the limits of the box by a given distance. More... | |
| void | Extend (const Vector2 &) |
| Extend the limits of the box given a point. More... | |
| Box2 | Extended (const double &) const |
| Extend the limits of the box by a given distance. More... | |
| void | SetParallelepipedic (int, int &, int &) |
| Inflates a box so that its dimensions should be a fraction of its maximum side length. More... | |
| void | SetParallelepipedic (const double &, int &, int &) |
| Creates a parallelepipedic box whose dimensions are integer multiples of a given input reference size. More... | |
| bool | Inside (const Vector2 &) const |
| Test if a point is inside the box. More... | |
| bool | Inside (const Vector2 &, const double &) const |
| Test if a point lies withing a given range of the box. More... | |
| bool | Intersect (const Box2 &) const |
| Check if the box intersects another box. More... | |
| double | OverlapArea (const Box2 &) const |
| Computes the overlapping area of two boxes. More... | |
| Box2 | Intersection (const Box2 &) const |
| Computes the intersection between two boxes. More... | |
| Box | ToBox (const double &, const double &) const |
| Convert a planar Box2 to a Box. More... | |
| int | Quadrant (const Vector2 &) const |
| Computes quadrant index of a vertex with respect to the box center. More... | |
| bool | Intersect (const Ray2 &, double &, double &) const |
| Computes the intersection between a box and a ray. More... | |
| bool | Intersect (const Ray2 &) const |
| Computes the intersection between a box and a ray. More... | |
| bool | Intersect (const Line2 &, double &, double &) const |
| Computes the intersection between a box and a line. More... | |
| bool | Intersect (const Segment2 &, double &, double &) const |
| Compute the intersection between a box and a segment. More... | |
| bool | Intersect (const Line2 &) const |
| Check the intersection between a box and a line. More... | |
| bool | Intersect (const Segment2 &) const |
| Check the intersection between a box and a segment. More... | |
| void | Draw (QGraphicsScene &, const QPen &=QPen(), const QBrush &=QBrush()) const |
| Draw a rectangle. More... | |
| Vector2 | RandomInside (Random &=Random::R239) const |
| Generate a random vector inside the box. More... | |
| Vector2 | RandomOn (Random &=Random::R239) const |
| Generate a random vector on the perimeter of the box. More... | |
| QRectF | GetQtRect () const |
| Create the Qt rectangle. | |
| QRect | TileRange (const Box2 &) const |
| Compute the range of index for tiling the argument box so that it covers the box. More... | |
| Box2 | Tile (int, int) const |
| Return the tiled the box using integer coordinates. More... | |
| Box2 | Tile (const QRect &) const |
| Return the tiled the box using integer coordinates. More... | |
| QVector< Vector2 > | Poisson (const double &, int, Random &=Random::R239) const |
| Compute a Poisson disc distribution inside a box. More... | |
| Static Protected Member Functions inherited from Box2 | |
| static Box2 | MinMax (const Vector2 &, const Vector2 &) |
| Create a box from any two points. More... | |
| Protected Attributes inherited from Box2 | |
| Vector2 | b |
| Lower and upper vertices of the box. | |
| Static Protected Attributes inherited from Box2 | |
| static const double | epsilon = 1.0e-5 |
| Epsilon value used to check intersections and some round off errors. | |
| static const Box2 | Infinity |
| Huge bounding box, which should enclose any other. | |
| static const Box2 | Null |
| Null box, equivalent to. More... | |
| static const Box2 | Unit |
| Unit box, defined as. More... | |
Detailed Description
A diamond in the plane.
Constructor & Destructor Documentation
◆ Diamond2() [1/3]
Creates a diamond given the vectors defining its bounding box.
- Parameters
-
a,b Vectors.
◆ Diamond2() [2/3]
|
explicit |
Creates a diamond given its center and axes lengths.
- Parameters
-
c Center. r Radius.
◆ Diamond2() [3/3]
|
explicit |
Creates a diamond given its center and axes lengths.
- Parameters
-
c Center. x,y Axes lengths.
Member Function Documentation
◆ Area()
| double Diamond2::Area | ( | ) | const |
Compute the area of the diamond.
It is half the area of a box.
◆ Draw()
| void Diamond2::Draw | ( | QGraphicsScene & | scene, |
| const QPen & | pen, | ||
| const QBrush & | brush | ||
| ) | const |
Draw a diamond.
- Parameters
-
scene Graphics scene. pen The pen. brush The brush, should the diamond be filled.
◆ Perimeter()
| double Diamond2::Perimeter | ( | ) | const |
Compute the perimeter of the diamond.
It is twice the length of the diagonal of the box.
◆ R()
| double Diamond2::R | ( | const Vector2 & | p | ) | const |
Compute the squared distance between a point and the diamond.
- Parameters
-
p Point.
◆ Scaled()
Scales the diamond.
- Parameters
-
s Scaling vector.
◆ Translated()
Translates the diamond.
- Parameters
-
t Translation vector.
◆ Vertex()
| Vector2 Diamond2::Vertex | ( | int | i | ) | const |
Return the i-th vertex.
- Parameters
-
i Vertex index.
