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| Array2 () |
| | Empty array, with empty box.
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| | Array2 (const Box2 &, int, int) |
| | Create the lattice structure.
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| | Array2 (const Box2 &, int) |
| | Create the lattice structure.
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| | Array2 (const Array &) |
| | Create the lattice structure.
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| Array2 | DownSample (int) const |
| | Downsample the array.
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| Array2 | UpSample (int) const |
| | Upsample the array.
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| ~Array2 () |
| | Empty.
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int | VertexSize () const |
| | Return the size of the vertex array.
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int | GetSizeX () const |
| | Get the vertex size of the array for x axis.
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int | GetSizeY () const |
| | Get the vertex size of the array for y axis.
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int | VertexBorderSize () const |
| | Return the number of vertices on the boundary of the rectangle.
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int | CellSize () const |
| | Return the size of the cell array.
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int | CellSizeX () const |
| | Get the cell size of the array for x axis.
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int | CellSizeY () const |
| | Get the cell size of the array for y axis.
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QSize | GetQtSize () const |
| | Return the Qt size of the vertex array.
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| Box2 | Cell (int) const |
| | Return the geometry of the cell.
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| Box2 | Cell (int, int) const |
| | Return the geometry of the cell.
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| void | HalfCell (int, int, bool, Triangle2 &, Triangle2 &) const |
| | Return the geometry of the cell.
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| Vector2 | CellCenter (int, int) const |
| | Return the center of the cell.
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| void | Scale (const Vector2 &) |
| | Scales the lattice structure.
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| void | Scale (const double &) |
| | Scales the array structure.
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Box2 | GetBox () const |
| | Get the box of the array.
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| Box2 | UnitCell () const |
| | Return the geometry of a generic cell.
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Vector2 | CellDiagonal () const |
| | Return the cell diagonal vector.
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| double | CellArea () const |
| | Return the area of a cell.
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| Vector2 | ArrayVertex (int, int) const |
| | Compute the coordinates of a point on the lattice.
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| Vector2 | ArrayVertex (const QPoint &) const |
| | Compute the coordinates of a point on the lattice.
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| QVector< Vector2 > | ArrayVertexes (const QVector< QPoint > &) const |
| | Compute the coordinates of a set of points on the lattice.
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Vector2 | Size () const |
| | Return the size of the array.
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QRect | AreaInteger () const |
| | Return the range of integer values for the domain.
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| QImage | ImageGrid (const Box2 &, const double &) const |
| | Create a texture with a regular grid.
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| void | Draw (QGraphicsScene &, const QPen &=QPen(), const QBrush &=QBrush()) const |
| | Draw the cells of the lattice.
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| void | Subdivide () |
| | Change the resolution.
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bool | IsEmpty () const |
| | Detect if the array is empty, i.e., any dimension equal to zero.
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| QPoint | VertexBorder (int) const |
| | Compute the k-th point on the boundary of the domain.
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| int | VertexBorderIndex (int, int) const |
| | Compute the index of a point on the boundary of the domain.
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| void | VertexInteger (const Vector2 &, int &, int &) const |
| | Compute the coordinates of a vertex inside a cell.
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| QPoint | VertexInteger (const Vector2 &) const |
| | Compute the coordinates of a vertex inside a cell.
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| QPoint | VertexInteger (const Vector2 &, double &, double &) const |
| | Compute the point on the lattice given an input point.
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| QRect | VertexIntegerArea (const Box2 &) const |
| | Compute the integer coordinates of the vertices embedding a box.
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| QRect | VertexIntegerArea (const Circle2 &) const |
| | Compute the integer coordinates of the vertices embedding a circle.
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| QRect | VertexIntegerArea (const QRect &) const |
| | Compute the integer coordinates span of the vertices embedding a rectangle.
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| QRect | VertexIntegerArea (int, int, int) const |
| | Compute the integer coordinates of the vertices embedding a cell with prescribed integer radius.
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| void | CellInteger (const Vector2 &, int &, int &) const |
| | Compute the coordinates of a vertex inside a cell.
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| void | CellInteger (const Vector2 &, int &, int &, double &, double &) const |
| | Compute the point on the lattice given an input point.
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| QPoint | CellInteger (const Vector2 &) const |
| | Compute the coordinates of a vertex inside a cell.
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| QPoint | CellInteger (const Vector2 &, double &, double &) const |
| | Compute the point on the lattice given an input point.
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| QRect | CellIntegerArea (const Box2 &) const |
| | Compute the integer coordinates of the cells of the array embedding an input box.
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| QRect | CellIntegerArea (const Circle2 &) const |
| | Compute the integer coordinates of the cells of the array embedding an input circle.
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| void | Translate (const Vector2 &) |
| | Translate the array.
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Vector2 | Center () const |
| | Return the center of the array.
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| constexpr bool | InsideVertexIndex (int, int) const |
| | Check if the indexes are within range.
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| constexpr bool | OutsideVertexIndex (int, int) const |
| | Check if the indexes are outside or on the border.
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| constexpr bool | InsideVertexIndex (const QPoint &) const |
| | Check if the indexes are within range.
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| constexpr bool | InsideVertexIndex (int, int, int) const |
| | Check if the indexes are within k-range.
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| bool | Inside (const Vector2 &) const |
| | Check if a point is in the rectangular domain.
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| constexpr bool | BorderVertexIndex (int, int) const |
| | Check if the indexes are on the border.
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| constexpr bool | BorderVertexIndex (const QPoint &) const |
| | Check if the indexes are on the border.
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| constexpr int | VertexIndex (int, int) const |
| | Compute the index of a given cell.
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| constexpr int | VertexIndex (const QPoint &) const |
| | Compute the index of a given cell.
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| QPoint | Next (const QPoint &, int) const |
| | Compute the point next to another one.
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QString | Statistics () const |
| | Get statistics.
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| void | ClampVertexIndex (int &, int &) const |
| | Clamp vertex indexes to the size of the array.
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| Vector2 | VertexUV (const Vector2 &) const |
| | Compute the coordinates of a point inside the box given uv coordinates.
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| constexpr void | InverseVertexIndex (int, int &, int &) const |
| | Compute the coordinates of a given cell.
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| constexpr QPoint | InverseVertexIndex (int) const |
| | Compute the coordinates of a given cell.
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| constexpr int | CellIndex (int, int) const |
| | Compute the index of a given cell.
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| constexpr int | CellIndex (const QPoint &) const |
| | Compute the index of a given cell.
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| constexpr bool | InsideCellIndex (int, int) const |
| | Check if the indexes are within range.
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| constexpr bool | InsideCellIndex (const QPoint &) const |
| | Check if the indexes are within range.
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| void | InverseCellIndex (int, int &, int &) const |
| | Compute the coordinates of a given cell.
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| Box2 () |
| | Empty.
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| | Box2 (const double &) |
| | Create a square box centered at the origin and of given half side length.
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| | Box2 (const double &, const double &) |
| | Create a box centered at the origin and of given dimensions.
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| | Box2 (const Vector2 &) |
| | Create a box from a single vertex.
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| | Box2 (const Vector2 &, const Vector2 &) |
| | Create a box.
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| | Box2 (const Vector2 &, const double &) |
| | Creates a box.
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| | Box2 (const Vector2 &, const double &, const double &) |
| | Create a box given a center point and its width, length, and height.
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| | Box2 (const Box &) |
| | Create a box in the plane given a box.
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| | Box2 (const Box2 &, const Box2 &) |
| | Create a box embedding two boxes.
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| | Box2 (const Box2 &, const Matrix2 &) |
| | Creates an axis aligned bounding box from a box and a transformation matrix.
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| | Box2 (const Box2 &, const Frame2 &) |
| | Creates an axis aligned bounding box from a box and a frame.
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| | Box2 (const QVector< Vector2 > &) |
| | Compute the bounding box of a set of points.
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| | Box2 (const QSize &) |
| | Create a box from a Qt size.
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Vector2 & | operator[] (int) |
| | Returns either end vertex of the box.
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Vector2 | operator[] (int) const |
| | Overloaded.
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Vector2 | Size () const |
| | Compute the size (width and height) of a box.
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| double | Width () const |
| | Compute the width of a box.
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| double | Height () const |
| | Compute the height of a box.
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Vector2 | Diagonal () const |
| | Returns the diagonal of the box.
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double | Radius () const |
| | Returns the radius of the box, i.e. the length of the half diagonal of the box.
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double | Area () const |
| | Compute the surface area of a box.
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double | Perimeter () const |
| | Compute the perimeter of the box.
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Vector2 | Center () const |
| | Returns the center of the box.
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| Vector2 | Vertex (int) const |
| | Returns the k-th vertex of the box.
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| Vector2 | Vertex (int, int, int, int) const |
| | Compute the coordinates of a grid aligned point.
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| Vector2 | VertexUV (const Vector2 &) const |
| | Compute the coordinates of a point inside the box given uv coordinates.
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| Box2 | Sub (int) const |
| | Computes the sub-box in the n-th quadrant.
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| double | R (const Vector2 &) const |
| | Compute the squared distance between the box and a point.
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| double | Signed (const Vector2 &) const |
| | Computes the signed distance between the box and a point.
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| double | R (const Box2 &) const |
| | Compute the squared Euclidean distance between two boxes.
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| void | Translate (const Vector2 &) |
| | Translates a box.
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| void | Scale (const Vector2 &) |
| | Scales a box.
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| void | Scale (const double &) |
| | Scales a box.
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| Box2 | Translated (const Vector2 &) const |
| | Translated box.
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| Box2 | Scaled (const double &) const |
| | Scales a box and return the scaled box.
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| Box2 | Scaled (const Vector2 &) const |
| | Scales a box and return the scaled box.
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| Box2 | Scaled (const QSize &) const |
| | Scales a box according to a Qt size.
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| Box2 | ScaledTo (const double &) const |
| | Scale the box so that the largest side should equal the argument value.
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| Box2 | ScaledCentered (const double &) const |
| | Scales a box while preserving its center.
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| Box2 | Rotated (const double &) const |
| | Compute the box embedding the rotated box.
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| Box2 | Rotated (const Matrix2 &) const |
| | Compute the box embedding the rotated box.
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| Box2 | Centered () const |
| | Compute the box translated to origin.
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| void | SetCubic () |
| | Creates the tightest embedding cube from an arbitrarilly shaped box.
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| void | SetInscribedCubic () |
| | Creates the biggest cube inscribed in the box.
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| Box2 | Cube () const |
| | Return the tightest embedding cube from an arbitrarilly shaped box.
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| void | Extend (const double &) |
| | Extend the limits of the box by a given distance.
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| void | Extend (const Vector2 &) |
| | Extend the limits of the box given a point.
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| Box2 | Extended (const double &) const |
| | Extend the limits of the box by a given distance.
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| void | SetParallelepipedic (int, int &, int &) |
| | Inflates a box so that its dimensions should be a fraction of its maximum side length.
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| void | SetParallelepipedic (const double &, int &, int &) |
| | Creates a parallelepipedic box whose dimensions are integer multiples of a given input reference size.
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| bool | Inside (const Vector2 &) const |
| | Test if a point is inside the box.
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| bool | Inside (const Vector2 &, const double &) const |
| | Test if a point lies withing a given range of the box.
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| bool | Intersect (const Box2 &) const |
| | Check if the box intersects another box.
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| double | OverlapArea (const Box2 &) const |
| | Computes the overlapping area of two boxes.
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| Box2 | Intersection (const Box2 &) const |
| | Computes the intersection between two boxes.
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| Box | ToBox (const double &, const double &) const |
| | Convert a planar Box2 to a Box.
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| int | Quadrant (const Vector2 &) const |
| | Computes quadrant index of a vertex with respect to the box center.
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| bool | Intersect (const Ray2 &, double &, double &) const |
| | Computes the intersection between a box and a ray.
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| bool | Intersect (const Ray2 &) const |
| | Computes the intersection between a box and a ray.
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| bool | Intersect (const Line2 &, double &, double &) const |
| | Computes the intersection between a box and a line.
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| bool | Intersect (const Segment2 &, double &, double &) const |
| | Compute the intersection between a box and a segment.
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| bool | Intersect (const Line2 &) const |
| | Check the intersection between a box and a line.
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| bool | Intersect (const Segment2 &) const |
| | Check the intersection between a box and a segment.
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| void | Draw (QGraphicsScene &, const QPen &=QPen(), const QBrush &=QBrush()) const |
| | Draw a rectangle.
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| Vector2 | RandomInside (Random &=Random::R239) const |
| | Generate a random vector inside the box.
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| Vector2 | RandomOn (Random &=Random::R239) const |
| | Generate a random vector on the perimeter of the box.
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QRectF | GetQtRect () const |
| | Create the Qt rectangle.
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| QRect | TileRange (const Box2 &) const |
| | Compute the range of index for tiling the argument box so that it covers the box.
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| Box2 | Tile (int, int) const |
| | Return the tiled the box using integer coordinates.
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| Box2 | Tile (const QRect &) const |
| | Return the tiled the box using integer coordinates.
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| Segment2 | GetSegment (const double &, bool=true) const |
| | Compute the horizontal or vertical segment dividing the box into u and 1-u parts.
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| QVector< Vector2 > | Poisson (const double &, int, Random &=Random::R239) const |
| | Compute a Poisson disc distribution inside a box.
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| QVector< Vector2 > | Poisson (const double &, int, const QVector< Vector2 > &, bool=true, Random &=Random::R239) const |
| | Compute a Poisson disc distribution inside a box.
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A base two-dimensional array structure.
An array is a two-dimensional rectangle virtually decomposed into cells.