Graphics.Formats.Collada.Vector2D3D

Documentation

type Angle = Float

An angle is a number between -pi and pi.

data V2

2D vector: a pair of coordinates.

Constructors

V !Float !Float

Instances

Eq V2

Num V2

Ord V2

Show V2

data V3

Constructors

V3 !Float !Float !Float

Instances

Eq V3

Num V3

Ord V3

Show V3

data V4

Constructors

V4 !Float !Float !Float !Float

Instances

Eq V4

Ord V4

Show V4

data T2

2D affine transformation. No shearing allowed, only translation, rotation, and scaling. Transformations can be chained with mappend, and mempty is the identity transformation.

Instances

Show T2

Monoid T2

unit :: Angle -> V2

Unit vector with the given direction.

(*.) :: V2 -> Float -> V2

Multiplication with a scalar.

dot :: V2 -> V2 -> Float

Multiplication with a scalar.

Division by a scalar.

Dot product.

dot3 :: V3 -> V3 -> Float

Dot product.

cross :: V2 -> V2 -> Float

Perp-dot product (2D cross product).

cross3 :: V3 -> V3 -> V3

3D cross product.

perpL :: V2 -> V2

Vector rotated 90 degrees leftwards.

perpR :: V2 -> V2

Vector rotated 90 degrees rightwards.

mul :: V3 -> Float -> V3

divide :: V3 -> Float -> V3

turn :: V2 -> V2 -> Ordering

Relative direction of two vectors: turn v1 v2 equals GT if v2 takes a left turn with respect to v1, LT if it is a right turn, and EQ if they are parallel.

turnL :: V2 -> V2 -> Bool

turnL v1 v2 == (turn v1 v2 == GT)

turnNL :: V2 -> V2 -> Bool

turnNL v1 v2 == (turn v1 v2 /= GT)

turnR :: V2 -> V2 -> Bool

turnR v1 v2 == (turn v1 v2 == LT)

turnNR :: V2 -> V2 -> Bool

turnNR v1 v2 == (turn v1 v2 /= LT)

parv :: V2 -> V2 -> Bool

parv v1 v2 == (turn v1 v2 == EQ)

square :: V2 -> Float

Vector length squared.

mag :: V2 -> Float

Vector length.

norm :: V2 -> V2

Vector normalisation.

dir :: V2 -> Angle

3d Vector length.

Set Vector length.

The angle of a vector with respect to the X axis.

v_len :: V3 -> Float

set_len :: V3 -> Float -> V3

inverse :: T2 -> T2

Inverse transformation

(<>) :: T2 -> V2 -> V2

Transformation applied to a vector.

translate :: V2 -> T2

Transformation representing a translation.

rotate :: Angle -> T2

Transformation representing a rotation.

scale :: Float -> T2

Transformation representing a scaling.

translationOf :: T2 -> V2

The translation factor of a transformation.

rotationOf :: T2 -> Angle

The rotation factor of a transformation.

scaleOf :: T2 -> Float

The scaling factor of a transformation.

withTranslation :: T2 -> V2 -> T2

Replacing the translation factor of a transformation.

withRotation :: T2 -> Angle -> T2

Replacing the rotation factor of a transformation.

withScale :: T2 -> Float -> T2

Replacing the scaling factor of a transformation.