Data.SG.Geometry.ThreeDim

SG-1.0: Small geometry library for dealing with vectors and collision detection

Description

A module with types to use in a 3D system, and various helper functions. Several more functions are available for use in the Data.SG.Geometry module.

Synopsis

newtype Point3' a = Point3 (a, a, a)

data Rel3' a = Rel3 (a, a, a) a

makeRel3 :: Num a => (a, a, a) -> Rel3' a

data Line3' a = Line3 {

getLineStart3 :: Point3' a

getLineDir3 :: Rel3' a

}

Documentation

newtype Point3' a

Source

A point in 3D space.

Constructors

Point3 (a, a, a)

Instances

data Rel3' a

Source

A relative vector (free vector) in 3D space. The triple is the x, y, z components, and the last item is the squared magnitude of the vector, which is stored with it to speed up various operations. It is suggested you use makeRel3 to create one of these, unless the magnitude is easily apparent, e.g. Rel3 (0, 1, 1) 2

Constructors

Rel3 (a, a, a) a

Instances

IsomorphicVectors Triple Rel3'

IsomorphicVectors Rel3' Triple

IsomorphicVectors Rel3' Point3'

IsomorphicVectors Point3' Rel3'

Geometry Rel3' Point3' Line3'

Eq a => Eq (Rel3' a)

(Show a, Eq a, Num a) => Num (Rel3' a)

Ord a => Ord (Rel3' a)

Read a => Read (Rel3' a)

Show a => Show (Rel3' a)

makeRel3 :: Num a => (a, a, a) -> Rel3' a

Source

Constructs a Rel3' vector

data Line3' a

Source

A line in 3D space. A line is a point and a free vector indicating direction. A line may be treated by a function as either finite (taking the magnitude of the free vector as the length) or infinite (ignoring the magnitude of the direction vector).

Constructors

Line3

getLineStart3 :: Point3' a
getLineDir3 :: Rel3' a

Instances

Geometry Rel3' Point3' Line3'

Eq a => Eq (Line3' a)

Read a => Read (Line3' a)

Show a => Show (Line3' a)

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