Copyright	(C) Frank Staals
License	see the LICENSE file
Maintainer	Frank Staals
Safe Haskell	None
Language	Haskell2010

Data.Geometry.Vector.VectorFixed

Contents

d dimensional Vectors
Functions specific to two and three dimensional vectors.

Description

Synopsis

data C (n :: Nat) = C
newtype Vector (d :: Nat) (r :: *) = Vector {
- _unV :: Vec d r
}
unV :: Lens' (Vector d r) (Vec d r)
element :: forall proxy i d r. (Arity d, Arity i, (i + 1) <= d) => proxy i -> Lens' (Vector d r) r
element' :: forall d r. Arity d => Int -> Traversal' (Vector d r) r
vectorFromList :: Arity d => [a] -> Maybe (Vector d a)
vectorFromListUnsafe :: Arity d => [a] -> Vector d a
destruct :: (Arity d, Arity (d + 1), 1 <= (d + 1)) => Vector (d + 1) r -> (r, Vector d r)
cross :: Num r => Vector 3 r -> Vector 3 r -> Vector 3 r
toV2 :: Vector 2 a -> V2 a
toV3 :: Vector 3 a -> V3 a
fromV3 :: V3 a -> Vector 3 a
snoc :: (Arity (d + 1), Arity d) => Vector d r -> r -> Vector (d + 1) r
init :: (Arity d, Arity (d + 1)) => Vector (d + 1) r -> Vector d r
last :: forall d r. (Arity d, Arity (d + 1)) => Vector (d + 1) r -> r
prefix :: forall i d r. (Arity d, Arity i, i <= d) => Vector d r -> Vector i r
v2 :: r -> r -> Vector 2 r
v3 :: r -> r -> r -> Vector 3 r
_unV2 :: Vector 2 r -> (r, r)
_unV3 :: Vector 3 r -> (r, r, r)
pattern Vector2 :: r -> r -> Vector 2 r
pattern Vector3 :: r -> r -> r -> Vector 3 r
pattern Vector4 :: r -> r -> r -> r -> Vector 4 r

Documentation

data C (n :: Nat) Source #

A proxy which can be used for the coordinates.

Constructors

C

Instances

Instances details

Eq (C n) Source #
Instance details Defined in Data.Geometry.Vector.VectorFixed Methods (==) :: C n -> C n -> Bool # (/=) :: C n -> C n -> Bool #
Ord (C n) Source #
Instance details Defined in Data.Geometry.Vector.VectorFixed Methods compare :: C n -> C n -> Ordering # (<) :: C n -> C n -> Bool # (<=) :: C n -> C n -> Bool # (>) :: C n -> C n -> Bool # (>=) :: C n -> C n -> Bool # max :: C n -> C n -> C n # min :: C n -> C n -> C n #
Read (C n) Source #
Instance details Defined in Data.Geometry.Vector.VectorFixed Methods readsPrec :: Int -> ReadS (C n) # readList :: ReadS [C n] # readPrec :: ReadPrec (C n) # readListPrec :: ReadPrec [C n] #
Show (C n) Source #
Instance details Defined in Data.Geometry.Vector.VectorFixed Methods showsPrec :: Int -> C n -> ShowS # show :: C n -> String # showList :: [C n] -> ShowS #

d dimensional Vectors

newtype Vector (d :: Nat) (r :: *) Source #

Datatype representing d dimensional vectors. Our implementation wraps the implementation provided by fixed-vector.

Constructors

Vector
Fields _unV :: Vec d r

Instances

Instances details

Arity d => Functor (Vector d) Source #
Instance details Defined in Data.Geometry.Vector.VectorFixed Methods fmap :: (a -> b) -> Vector d a -> Vector d b # (<$) :: a -> Vector d b -> Vector d a #
Arity d => Applicative (Vector d) Source #
Instance details Defined in Data.Geometry.Vector.VectorFixed Methods pure :: a -> Vector d a # (<>) :: Vector d (a -> b) -> Vector d a -> Vector d b # liftA2 :: (a -> b -> c) -> Vector d a -> Vector d b -> Vector d c # (>) :: Vector d a -> Vector d b -> Vector d b # (<*) :: Vector d a -> Vector d b -> Vector d a #
Arity d => Foldable (Vector d) Source #
Instance details Defined in Data.Geometry.Vector.VectorFixed Methods fold :: Monoid m => Vector d m -> m # foldMap :: Monoid m => (a -> m) -> Vector d a -> m # foldMap' :: Monoid m => (a -> m) -> Vector d a -> m # foldr :: (a -> b -> b) -> b -> Vector d a -> b # foldr' :: (a -> b -> b) -> b -> Vector d a -> b # foldl :: (b -> a -> b) -> b -> Vector d a -> b # foldl' :: (b -> a -> b) -> b -> Vector d a -> b # foldr1 :: (a -> a -> a) -> Vector d a -> a # foldl1 :: (a -> a -> a) -> Vector d a -> a # toList :: Vector d a -> [a] # null :: Vector d a -> Bool # length :: Vector d a -> Int # elem :: Eq a => a -> Vector d a -> Bool # maximum :: Ord a => Vector d a -> a # minimum :: Ord a => Vector d a -> a # sum :: Num a => Vector d a -> a # product :: Num a => Vector d a -> a #
Arity d => Traversable (Vector d) Source #
Instance details Defined in Data.Geometry.Vector.VectorFixed Methods traverse :: Applicative f => (a -> f b) -> Vector d a -> f (Vector d b) # sequenceA :: Applicative f => Vector d (f a) -> f (Vector d a) # mapM :: Monad m => (a -> m b) -> Vector d a -> m (Vector d b) # sequence :: Monad m => Vector d (m a) -> m (Vector d a) #
Arity d => Eq1 (Vector d) Source #
Instance details Defined in Data.Geometry.Vector.VectorFixed Methods liftEq :: (a -> b -> Bool) -> Vector d a -> Vector d b -> Bool #
Arity d => Affine (Vector d) Source #
Instance details Defined in Data.Geometry.Vector.VectorFixed Associated Types type Diff (Vector d) :: Type -> Type # Methods (.-.) :: Num a => Vector d a -> Vector d a -> Diff (Vector d) a # (.+^) :: Num a => Vector d a -> Diff (Vector d) a -> Vector d a # (.-^) :: Num a => Vector d a -> Diff (Vector d) a -> Vector d a #
Arity d => Metric (Vector d) Source #
Instance details Defined in Data.Geometry.Vector.VectorFixed Methods dot :: Num a => Vector d a -> Vector d a -> a # quadrance :: Num a => Vector d a -> a # qd :: Num a => Vector d a -> Vector d a -> a # distance :: Floating a => Vector d a -> Vector d a -> a # norm :: Floating a => Vector d a -> a # signorm :: Floating a => Vector d a -> Vector d a #
Arity d => Additive (Vector d) Source #
Instance details Defined in Data.Geometry.Vector.VectorFixed Methods zero :: Num a => Vector d a # (^+^) :: Num a => Vector d a -> Vector d a -> Vector d a # (^-^) :: Num a => Vector d a -> Vector d a -> Vector d a # lerp :: Num a => a -> Vector d a -> Vector d a -> Vector d a # liftU2 :: (a -> a -> a) -> Vector d a -> Vector d a -> Vector d a # liftI2 :: (a -> b -> c) -> Vector d a -> Vector d b -> Vector d c #
Arity d => Vector (Vector d) r Source #
Instance details Defined in Data.Geometry.Vector.VectorFixed Methods construct :: Fun (Peano (Dim (Vector d))) r (Vector d r) # inspect :: Vector d r -> Fun (Peano (Dim (Vector d))) r b -> b # basicIndex :: Vector d r -> Int -> r #
(Eq r, Arity d) => Eq (Vector d r) Source #
Instance details Defined in Data.Geometry.Vector.VectorFixed Methods (==) :: Vector d r -> Vector d r -> Bool # (/=) :: Vector d r -> Vector d r -> Bool #
(Ord r, Arity d) => Ord (Vector d r) Source #
Instance details Defined in Data.Geometry.Vector.VectorFixed Methods compare :: Vector d r -> Vector d r -> Ordering # (<) :: Vector d r -> Vector d r -> Bool # (<=) :: Vector d r -> Vector d r -> Bool # (>) :: Vector d r -> Vector d r -> Bool # (>=) :: Vector d r -> Vector d r -> Bool # max :: Vector d r -> Vector d r -> Vector d r # min :: Vector d r -> Vector d r -> Vector d r #
(Show r, Arity d) => Show (Vector d r) Source #
Instance details Defined in Data.Geometry.Vector.VectorFixed Methods showsPrec :: Int -> Vector d r -> ShowS # show :: Vector d r -> String # showList :: [Vector d r] -> ShowS #
Generic (Vector d r) Source #
Instance details Defined in Data.Geometry.Vector.VectorFixed Associated Types type Rep (Vector d r) :: Type -> Type # Methods from :: Vector d r -> Rep (Vector d r) x # to :: Rep (Vector d r) x -> Vector d r #
(ToJSON r, Arity d) => ToJSON (Vector d r) Source #
Instance details Defined in Data.Geometry.Vector.VectorFixed Methods toJSON :: Vector d r -> Value # toEncoding :: Vector d r -> Encoding # toJSONList :: [Vector d r] -> Value # toEncodingList :: [Vector d r] -> Encoding #
(FromJSON r, Arity d, KnownNat d) => FromJSON (Vector d r) Source #
Instance details Defined in Data.Geometry.Vector.VectorFixed Methods parseJSON :: Value -> Parser (Vector d r) # parseJSONList :: Value -> Parser [Vector d r] #
(Arity d, NFData r) => NFData (Vector d r) Source #
Instance details Defined in Data.Geometry.Vector.VectorFixed Methods rnf :: Vector d r -> () #
type Dim (Vector d) Source #
Instance details Defined in Data.Geometry.Vector.VectorFixed type Dim (Vector d) = d
type Diff (Vector d) Source #
Instance details Defined in Data.Geometry.Vector.VectorFixed type Diff (Vector d) = Vector d
type Rep (Vector d r) Source #
Instance details Defined in Data.Geometry.Vector.VectorFixed type Rep (Vector d r) = D1 ('MetaData "Vector" "Data.Geometry.Vector.VectorFixed" "hgeometry-0.12.0.1-744QXwUb5uS54emseMX1Co" 'True) (C1 ('MetaCons "Vector" 'PrefixI 'True) (S1 ('MetaSel ('Just "_unV") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 (Vec d r))))