Safe Haskell	Safe
Language	Haskell98

Graphics.Formats.Collada.Vector2D3D

Synopsis

type Angle = Float
data V2 = V !Float !Float
data V3 = V3 !Float !Float !Float
data V4 = V4 !Float !Float !Float !Float
data T2
unit :: Angle -> V2
(*.) :: V2 -> Float -> V2
dot :: V2 -> V2 -> Float
dot3 :: V3 -> V3 -> Float
cross :: V2 -> V2 -> Float
cross3 :: V3 -> V3 -> V3
perpL :: V2 -> V2
perpR :: V2 -> V2
mul :: V3 -> Float -> V3
divide :: V3 -> Float -> V3
turn :: V2 -> V2 -> Ordering
turnL :: V2 -> V2 -> Bool
turnNL :: V2 -> V2 -> Bool
turnR :: V2 -> V2 -> Bool
turnNR :: V2 -> V2 -> Bool
parv :: V2 -> V2 -> Bool
square :: V2 -> Float
mag :: V2 -> Float
norm :: V2 -> V2
dir :: V2 -> Angle
v_len :: V3 -> Float
set_len :: V3 -> Float -> V3
inverse :: T2 -> T2
(<>) :: Semigroup a => a -> a -> a
translate :: V2 -> T2
rotate :: Angle -> T2
scale :: Float -> T2
translationOf :: T2 -> V2
rotationOf :: T2 -> Angle
scaleOf :: T2 -> Float
withTranslation :: T2 -> V2 -> T2
withRotation :: T2 -> Angle -> T2
withScale :: T2 -> Float -> T2

Documentation

type Angle = Float Source #

An angle is a number between -pi and pi.

data V2 Source #

2D vector: a pair of coordinates.

Constructors

V !Float !Float

Instances

Eq V2 Source #
Instance details Defined in Graphics.Formats.Collada.Vector2D3D Methods (==) :: V2 -> V2 -> Bool # (/=) :: V2 -> V2 -> Bool #
Num V2 Source #
Instance details Defined in Graphics.Formats.Collada.Vector2D3D Methods (+) :: V2 -> V2 -> V2 # (-) :: V2 -> V2 -> V2 # (*) :: V2 -> V2 -> V2 # negate :: V2 -> V2 # abs :: V2 -> V2 # signum :: V2 -> V2 # fromInteger :: Integer -> V2 #
Ord V2 Source #
Instance details Defined in Graphics.Formats.Collada.Vector2D3D Methods compare :: V2 -> V2 -> Ordering # (<) :: V2 -> V2 -> Bool # (<=) :: V2 -> V2 -> Bool # (>) :: V2 -> V2 -> Bool # (>=) :: V2 -> V2 -> Bool # max :: V2 -> V2 -> V2 # min :: V2 -> V2 -> V2 #
Show V2 Source #
Instance details Defined in Graphics.Formats.Collada.Vector2D3D Methods showsPrec :: Int -> V2 -> ShowS # show :: V2 -> String # showList :: [V2] -> ShowS #

data V3 Source #

Constructors

V3 !Float !Float !Float

Instances

Eq V3 Source #
Instance details Defined in Graphics.Formats.Collada.Vector2D3D Methods (==) :: V3 -> V3 -> Bool # (/=) :: V3 -> V3 -> Bool #
Num V3 Source #
Instance details Defined in Graphics.Formats.Collada.Vector2D3D Methods (+) :: V3 -> V3 -> V3 # (-) :: V3 -> V3 -> V3 # (*) :: V3 -> V3 -> V3 # negate :: V3 -> V3 # abs :: V3 -> V3 # signum :: V3 -> V3 # fromInteger :: Integer -> V3 #
Ord V3 Source #
Instance details Defined in Graphics.Formats.Collada.Vector2D3D Methods compare :: V3 -> V3 -> Ordering # (<) :: V3 -> V3 -> Bool # (<=) :: V3 -> V3 -> Bool # (>) :: V3 -> V3 -> Bool # (>=) :: V3 -> V3 -> Bool # max :: V3 -> V3 -> V3 # min :: V3 -> V3 -> V3 #
Show V3 Source #
Instance details Defined in Graphics.Formats.Collada.Vector2D3D Methods showsPrec :: Int -> V3 -> ShowS # show :: V3 -> String # showList :: [V3] -> ShowS #

data V4 Source #

Constructors

V4 !Float !Float !Float !Float

Instances

Eq V4 Source #
Instance details Defined in Graphics.Formats.Collada.Vector2D3D Methods (==) :: V4 -> V4 -> Bool # (/=) :: V4 -> V4 -> Bool #
Ord V4 Source #
Instance details Defined in Graphics.Formats.Collada.Vector2D3D Methods compare :: V4 -> V4 -> Ordering # (<) :: V4 -> V4 -> Bool # (<=) :: V4 -> V4 -> Bool # (>) :: V4 -> V4 -> Bool # (>=) :: V4 -> V4 -> Bool # max :: V4 -> V4 -> V4 # min :: V4 -> V4 -> V4 #
Show V4 Source #
Instance details Defined in Graphics.Formats.Collada.Vector2D3D Methods showsPrec :: Int -> V4 -> ShowS # show :: V4 -> String # showList :: [V4] -> ShowS #

data T2 Source #

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 Source #
Instance details Defined in Graphics.Formats.Collada.Vector2D3D Methods showsPrec :: Int -> T2 -> ShowS # show :: T2 -> String # showList :: [T2] -> ShowS #
Semigroup T2 Source #
Instance details Defined in Graphics.Formats.Collada.Vector2D3D Methods (<>) :: T2 -> T2 -> T2 # sconcat :: NonEmpty T2 -> T2 # stimes :: Integral b => b -> T2 -> T2 #
Monoid T2 Source #
Instance details Defined in Graphics.Formats.Collada.Vector2D3D Methods mempty :: T2 # mappend :: T2 -> T2 -> T2 # mconcat :: [T2] -> T2 #

unit :: Angle -> V2 Source #

Unit vector with the given direction.

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

Multiplication with a scalar.

dot :: V2 -> V2 -> Float infixl 7 Source #

Dot product.

dot3 :: V3 -> V3 -> Float Source #

Dot product.

cross :: V2 -> V2 -> Float infixl 7 Source #

Perp-dot product (2D cross product).

cross3 :: V3 -> V3 -> V3 Source #

3D cross product.

perpL :: V2 -> V2 Source #

Vector rotated 90 degrees leftwards.

perpR :: V2 -> V2 Source #

Vector rotated 90 degrees rightwards.

mul :: V3 -> Float -> V3 Source #

Multiplication with a scalar.

divide :: V3 -> Float -> V3 Source #

Division by a scalar.

turn :: V2 -> V2 -> Ordering infixl 5 Source #

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 infixl 5 Source #