Portability | GHC with TypeFamilies and more |
---|---|

Stability | unstable |

Maintainer | stephen.tetley@gmail.com |

Bounding box with no notion of 'empty'.

Empty pictures cannot be created with Wumpus. This greatly simplifies the implementation of pictures themselves and bounding boxes.

WARNING - this module is no so tightly designed, with some of the functions seeming superfluous in hindsight. It is likely to change in the future.

- data BoundingBox a = BBox {}
- type DBoundingBox = BoundingBox Double
- class Boundary a where
- boundary :: a -> BoundingBox (DUnit a)

- bbox :: Ord a => Point2 a -> Point2 a -> BoundingBox a
- obbox :: Num a => a -> a -> BoundingBox a
- union :: Ord a => BoundingBox a -> BoundingBox a -> BoundingBox a
- trace :: (Num a, Ord a) => [Point2 a] -> BoundingBox a
- retrace :: (Num u, Ord u) => (Point2 u -> Point2 u) -> BoundingBox u -> BoundingBox u
- corners :: BoundingBox a -> (Point2 a, Point2 a, Point2 a, Point2 a)
- withinBB :: Ord a => Point2 a -> BoundingBox a -> Bool
- boundaryWidth :: Num a => BoundingBox a -> a
- boundaryHeight :: Num a => BoundingBox a -> a
- boundaryBottomLeft :: BoundingBox a -> Point2 a
- boundaryTopRight :: BoundingBox a -> Point2 a
- boundaryTopLeft :: BoundingBox a -> Point2 a
- boundaryBottomRight :: BoundingBox a -> Point2 a
- leftPlane :: BoundingBox a -> a
- rightPlane :: BoundingBox a -> a
- lowerPlane :: BoundingBox a -> a
- upperPlane :: BoundingBox a -> a

# Types

data BoundingBox a Source

Bounding box of a picture, represented by the lower left and upper right corners.

We cannot construct empty pictures - so bounding boxes are
spared the obligation to be *empty*. BoundingBox is an instance
of the Semigroup class where `append`

is the union operation.

Eq a => Eq (BoundingBox a) | |

Show a => Show (BoundingBox a) | |

Ord a => Semigroup (BoundingBox a) | |

Pretty a => Pretty (BoundingBox a) | |

Pointwise (BoundingBox a) | |

(Num u, Ord u) => Scale (BoundingBox u) |

type DBoundingBox = BoundingBox DoubleSource

# Type class

Type class extracting the bounding box of an object - Picture, Path etc.

boundary :: a -> BoundingBox (DUnit a)Source

# Operations

bbox :: Ord a => Point2 a -> Point2 a -> BoundingBox aSource

Contruct a bounding box, vis the BBox constructor with range checking on the corner points.

`bbox`

throws an error if the width or height of the
constructed bounding box is negative.

obbox :: Num a => a -> a -> BoundingBox aSource

Create a BoundingBox with bottom left corner at the origin,
and dimensions `w`

and `h`

.

union :: Ord a => BoundingBox a -> BoundingBox a -> BoundingBox aSource

The union of two bounding boxes. This is also the `append`

of BoundingBox's `Semigroup`

instance.

trace :: (Num a, Ord a) => [Point2 a] -> BoundingBox aSource

Trace a list of points, retuning the BoundingBox that includes them.

`trace`

throws a run-time error when supplied with the empty
list.

retrace :: (Num u, Ord u) => (Point2 u -> Point2 u) -> BoundingBox u -> BoundingBox uSource

Perform the supplied transformation on the four corners of the bounding box. Trace the new corners to calculate the resulting bounding box.

This helper function can be used to re-calculate a bounding box after a rotation for example.

corners :: BoundingBox a -> (Point2 a, Point2 a, Point2 a, Point2 a)Source

Generate all the corners of a bounding box, counter-clock
wise from the bottom left, i.e. `(bl, br, tr, tl)`

.

withinBB :: Ord a => Point2 a -> BoundingBox a -> BoolSource

Within test - is the supplied point within the bounding box?

boundaryWidth :: Num a => BoundingBox a -> aSource

Extract the width of a bounding box.

boundaryHeight :: Num a => BoundingBox a -> aSource

Extract the height of a bounding box.

boundaryBottomLeft :: BoundingBox a -> Point2 aSource

Extract the bottom-left corner of the bounding box.

boundaryTopRight :: BoundingBox a -> Point2 aSource

Extract the top-right corner of the bounding box.

boundaryTopLeft :: BoundingBox a -> Point2 aSource

Extract the top-left corner of the bounding box.

boundaryBottomRight :: BoundingBox a -> Point2 aSource

Extract the bottom-right corner of the bounding box.

leftPlane :: BoundingBox a -> aSource

Extract the unit of the left vertical plane.

rightPlane :: BoundingBox a -> aSource

Extract the unit of the right vertical plane.

lowerPlane :: BoundingBox a -> aSource

Extract the unit of the lower horizontal plane.

upperPlane :: BoundingBox a -> aSource

Extract the unit of the upper horizontal plane.