Copyright	(c) 2011 diagrams-lib team (see LICENSE)
License	BSD-style (see LICENSE)
Maintainer	diagrams-discuss@googlegroups.com
Safe Haskell	None
Language	Haskell2010

Diagrams.TwoD.Types

Contents

2D Euclidean space
Orphan instances

Description

Basic types for two-dimensional Euclidean space.

Synopsis

data V2 a = V2 !a !a
class R1 (t :: Type -> Type) where
- _x :: Lens' (t a) a
class R1 t => R2 (t :: Type -> Type) where
- _y :: Lens' (t a) a
- _xy :: Lens' (t a) (V2 a)
type P2 = Point V2
type T2 = Transformation V2
r2 :: (n, n) -> V2 n
unr2 :: V2 n -> (n, n)
mkR2 :: n -> n -> V2 n
r2Iso :: forall n p f. (Profunctor p, Functor f) => p (n, n) (f (n, n)) -> p (V2 n) (f (V2 n))
p2 :: (n, n) -> P2 n
mkP2 :: n -> n -> P2 n
unp2 :: P2 n -> (n, n)
p2Iso :: forall n p f. (Profunctor p, Functor f) => p (n, n) (f (n, n)) -> p (Point V2 n) (f (Point V2 n))
r2PolarIso :: RealFloat n => Iso' (V2 n) (n, Angle n)
class HasR (t :: Type -> Type) where
- _r :: RealFloat n => Lens' (t n) n

2D Euclidean space

data V2 a #

A 2-dimensional vector

>>> pure 1 :: V2 Int
V2 1 1

>>> V2 1 2 + V2 3 4
V2 4 6

>>> V2 1 2 * V2 3 4
V2 3 8

>>> sum (V2 1 2)
3

Constructors

V2 !a !a

Instances

Instances details

Representable V2

Instance details

Defined in Linear.V2

Associated Types

type Rep V2
Instance details Defined in Linear.V2 type Rep V2 = E V2

Methods

tabulate :: (Rep V2 -> a) -> V2 a #

index :: V2 a -> Rep V2 -> a #

MonadFix V2

Instance details

Defined in Linear.V2

Methods

mfix :: (a -> V2 a) -> V2 a #

MonadZip V2

Instance details

Defined in Linear.V2

Methods

mzip :: V2 a -> V2 b -> V2 (a, b) #

mzipWith :: (a -> b -> c) -> V2 a -> V2 b -> V2 c #

munzip :: V2 (a, b) -> (V2 a, V2 b) #

Foldable V2

Instance details

Defined in Linear.V2

Methods

fold :: Monoid m => V2 m -> m #

foldMap :: Monoid m => (a -> m) -> V2 a -> m #

foldMap' :: Monoid m => (a -> m) -> V2 a -> m #

foldr :: (a -> b -> b) -> b -> V2 a -> b #

foldr' :: (a -> b -> b) -> b -> V2 a -> b #

foldl :: (b -> a -> b) -> b -> V2 a -> b #

foldl' :: (b -> a -> b) -> b -> V2 a -> b #

foldr1 :: (a -> a -> a) -> V2 a -> a #

foldl1 :: (a -> a -> a) -> V2 a -> a #

toList :: V2 a -> [a] #

null :: V2 a -> Bool #

length :: V2 a -> Int #

elem :: Eq a => a -> V2 a -> Bool #

maximum :: Ord a => V2 a -> a #

minimum :: Ord a => V2 a -> a #

sum :: Num a => V2 a -> a #

product :: Num a => V2 a -> a #

Foldable1 V2

Instance details

Defined in Linear.V2

Methods

fold1 :: Semigroup m => V2 m -> m #

foldMap1 :: Semigroup m => (a -> m) -> V2 a -> m #

foldMap1' :: Semigroup m => (a -> m) -> V2 a -> m #

toNonEmpty :: V2 a -> NonEmpty a #

maximum :: Ord a => V2 a -> a #

minimum :: Ord a => V2 a -> a #

head :: V2 a -> a #

last :: V2 a -> a #

foldrMap1 :: (a -> b) -> (a -> b -> b) -> V2 a -> b #

foldlMap1' :: (a -> b) -> (b -> a -> b) -> V2 a -> b #

foldlMap1 :: (a -> b) -> (b -> a -> b) -> V2 a -> b #

foldrMap1' :: (a -> b) -> (a -> b -> b) -> V2 a -> b #

Eq1 V2

Instance details

Defined in Linear.V2

Methods

liftEq :: (a -> b -> Bool) -> V2 a -> V2 b -> Bool #

Ord1 V2

Instance details

Defined in Linear.V2

Methods

liftCompare :: (a -> b -> Ordering) -> V2 a -> V2 b -> Ordering #

Read1 V2

Instance details

Defined in Linear.V2

Methods

liftReadsPrec :: (Int -> ReadS a) -> ReadS [a] -> Int -> ReadS (V2 a) #

liftReadList :: (Int -> ReadS a) -> ReadS [a] -> ReadS [V2 a] #

liftReadPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec (V2 a) #

liftReadListPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec [V2 a] #

Show1 V2

Instance details

Defined in Linear.V2

Methods

liftShowsPrec :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> V2 a -> ShowS #

liftShowList :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> [V2 a] -> ShowS #

Traversable V2

Instance details

Defined in Linear.V2

Methods

traverse :: Applicative f => (a -> f b) -> V2 a -> f (V2 b) #

sequenceA :: Applicative f => V2 (f a) -> f (V2 a) #

mapM :: Monad m => (a -> m b) -> V2 a -> m (V2 b) #

sequence :: Monad m => V2 (m a) -> m (V2 a) #

Applicative V2

Instance details

Defined in Linear.V2

Methods

pure :: a -> V2 a #

(<*>) :: V2 (a -> b) -> V2 a -> V2 b #

liftA2 :: (a -> b -> c) -> V2 a -> V2 b -> V2 c #

(*>) :: V2 a -> V2 b -> V2 b #

(<*) :: V2 a -> V2 b -> V2 a #

Functor V2

Instance details

Defined in Linear.V2

Methods

fmap :: (a -> b) -> V2 a -> V2 b #

(<$) :: a -> V2 b -> V2 a #

Monad V2

Instance details

Defined in Linear.V2

Methods

(>>=) :: V2 a -> (a -> V2 b) -> V2 b #

(>>) :: V2 a -> V2 b -> V2 b #

return :: a -> V2 a #

Serial1 V2

Instance details

Defined in Linear.V2

Methods

serializeWith :: MonadPut m => (a -> m ()) -> V2 a -> m () #

deserializeWith :: MonadGet m => m a -> m (V2 a) #

HasTheta V2 Source #

Instance details

Defined in Diagrams.TwoD.Types

Methods

_theta :: RealFloat n => Lens' (V2 n) (Angle n) Source #

HasR V2 Source #

Instance details

Defined in Diagrams.TwoD.Types

Methods

_r :: RealFloat n => Lens' (V2 n) n Source #

Distributive V2

Instance details

Defined in Linear.V2

Methods

distribute :: Functor f => f (V2 a) -> V2 (f a) #

collect :: Functor f => (a -> V2 b) -> f a -> V2 (f b) #

distributeM :: Monad m => m (V2 a) -> V2 (m a) #

collectM :: Monad m => (a -> V2 b) -> m a -> V2 (m b) #

Hashable1 V2

Instance details

Defined in Linear.V2

Methods

liftHashWithSalt :: (Int -> a -> Int) -> Int -> V2 a -> Int #

Affine V2

Instance details

Defined in Linear.Affine

Associated Types

type Diff V2
Instance details Defined in Linear.Affine type Diff V2 = V2

Methods

(.-.) :: Num a => V2 a -> V2 a -> Diff V2 a #

(.+^) :: Num a => V2 a -> Diff V2 a -> V2 a #

(.-^) :: Num a => V2 a -> Diff V2 a -> V2 a #

Metric V2

Instance details

Defined in Linear.V2

Methods

dot :: Num a => V2 a -> V2 a -> a #

quadrance :: Num a => V2 a -> a #

qd :: Num a => V2 a -> V2 a -> a #

distance :: Floating a => V2 a -> V2 a -> a #

norm :: Floating a => V2 a -> a #

signorm :: Floating a => V2 a -> V2 a #

Trace V2

Instance details

Defined in Linear.Trace

Methods

trace :: Num a => V2 (V2 a) -> a #

diagonal :: V2 (V2 a) -> V2 a #

Finite V2

Instance details

Defined in Linear.V2

Associated Types

type Size V2
Instance details Defined in Linear.V2 type Size V2 = 2

Methods

toV :: V2 a -> V (Size V2) a #

fromV :: V (Size V2) a -> V2 a #

R1 V2

Instance details

Defined in Linear.V2

Methods

_x :: Lens' (V2 a) a #

R2 V2

Instance details

Defined in Linear.V2

Methods

_y :: Lens' (V2 a) a #

_xy :: Lens' (V2 a) (V2 a) #

Additive V2

Instance details

Defined in Linear.V2

Methods

zero :: Num a => V2 a #

(^+^) :: Num a => V2 a -> V2 a -> V2 a #

(^-^) :: Num a => V2 a -> V2 a -> V2 a #

lerp :: Num a => a -> V2 a -> V2 a -> V2 a #

liftU2 :: (a -> a -> a) -> V2 a -> V2 a -> V2 a #

liftI2 :: (a -> b -> c) -> V2 a -> V2 b -> V2 c #

Apply V2

Instance details

Defined in Linear.V2

Methods

(<.>) :: V2 (a -> b) -> V2 a -> V2 b #

(.>) :: V2 a -> V2 b -> V2 b #

(<.) :: V2 a -> V2 b -> V2 a #

liftF2 :: (a -> b -> c) -> V2 a -> V2 b -> V2 c #

Bind V2

Instance details

Defined in Linear.V2

Methods

(>>-) :: V2 a -> (a -> V2 b) -> V2 b #

join :: V2 (V2 a) -> V2 a #

Traversable1 V2

Instance details

Defined in Linear.V2

Methods

traverse1 :: Apply f => (a -> f b) -> V2 a -> f (V2 b) #

sequence1 :: Apply f => V2 (f b) -> f (V2 b) #

Generic1 V2

Instance details

Defined in Linear.V2

Associated Types

type Rep1 V2
Instance details Defined in Linear.V2 type Rep1 V2 = D1 ('MetaData "V2" "Linear.V2" "linear-1.23.2-DpgMnhOw1WnCVLrcyVjH04" 'False) (C1 ('MetaCons "V2" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'SourceStrict 'DecidedStrict) Par1 :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'SourceStrict 'DecidedStrict) Par1))

Methods

from1 :: V2 a -> Rep1 V2 a #

to1 :: Rep1 V2 a -> V2 a #

Num r => Coalgebra r (E V2)

Instance details

Defined in Linear.Algebra

Methods

comult :: (E V2 -> r) -> E V2 -> E V2 -> r #

counital :: (E V2 -> r) -> r #

Lift a => Lift (V2 a :: Type)

Instance details

Defined in Linear.V2

Methods

lift :: Quote m => V2 a -> m Exp #

liftTyped :: forall (m :: Type -> Type). Quote m => V2 a -> Code m (V2 a) #

Unbox a => Vector Vector (V2 a)

Instance details

Defined in Linear.V2

Methods

basicUnsafeFreeze :: Mutable Vector s (V2 a) -> ST s (Vector (V2 a))

basicUnsafeThaw :: Vector (V2 a) -> ST s (Mutable Vector s (V2 a))

basicLength :: Vector (V2 a) -> Int

basicUnsafeSlice :: Int -> Int -> Vector (V2 a) -> Vector (V2 a)

basicUnsafeIndexM :: Vector (V2 a) -> Int -> Box (V2 a)

basicUnsafeCopy :: Mutable Vector s (V2 a) -> Vector (V2 a) -> ST s ()

elemseq :: Vector (V2 a) -> V2 a -> b -> b

Unbox a => MVector MVector (V2 a)

Instance details

Defined in Linear.V2

Methods

basicLength :: MVector s (V2 a) -> Int

basicUnsafeSlice :: Int -> Int -> MVector s (V2 a) -> MVector s (V2 a)

basicOverlaps :: MVector s (V2 a) -> MVector s (V2 a) -> Bool

basicUnsafeNew :: Int -> ST s (MVector s (V2 a))

basicInitialize :: MVector s (V2 a) -> ST s ()

basicUnsafeReplicate :: Int -> V2 a -> ST s (MVector s (V2 a))

basicUnsafeRead :: MVector s (V2 a) -> Int -> ST s (V2 a)

basicUnsafeWrite :: MVector s (V2 a) -> Int -> V2 a -> ST s ()

basicClear :: MVector s (V2 a) -> ST s ()

basicSet :: MVector s (V2 a) -> V2 a -> ST s ()

basicUnsafeCopy :: MVector s (V2 a) -> MVector s (V2 a) -> ST s ()

basicUnsafeMove :: MVector s (V2 a) -> MVector s (V2 a) -> ST s ()

basicUnsafeGrow :: MVector s (V2 a) -> Int -> ST s (MVector s (V2 a))

Data a => Data (V2 a)

Instance details

Defined in Linear.V2

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> V2 a -> c (V2 a) #

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (V2 a) #

toConstr :: V2 a -> Constr #

dataTypeOf :: V2 a -> DataType #

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (V2 a)) #

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (V2 a)) #

gmapT :: (forall b. Data b => b -> b) -> V2 a -> V2 a #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> V2 a -> r #

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> V2 a -> r #

gmapQ :: (forall d. Data d => d -> u) -> V2 a -> [u] #

gmapQi :: Int -> (forall d. Data d => d -> u) -> V2 a -> u #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> V2 a -> m (V2 a) #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> V2 a -> m (V2 a) #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> V2 a -> m (V2 a) #

Storable a => Storable (V2 a)

Instance details

Defined in Linear.V2

Methods

sizeOf :: V2 a -> Int #

alignment :: V2 a -> Int #

peekElemOff :: Ptr (V2 a) -> Int -> IO (V2 a) #

pokeElemOff :: Ptr (V2 a) -> Int -> V2 a -> IO () #

peekByteOff :: Ptr b -> Int -> IO (V2 a) #

pokeByteOff :: Ptr b -> Int -> V2 a -> IO () #

peek :: Ptr (V2 a) -> IO (V2 a) #

poke :: Ptr (V2 a) -> V2 a -> IO () #

Monoid a => Monoid (V2 a)

Instance details

Defined in Linear.V2

Methods

mempty :: V2 a #

mappend :: V2 a -> V2 a -> V2 a #

mconcat :: [V2 a] -> V2 a #

Semigroup a => Semigroup (V2 a)

Instance details

Defined in Linear.V2

Methods

(<>) :: V2 a -> V2 a -> V2 a #

sconcat :: NonEmpty (V2 a) -> V2 a #

stimes :: Integral b => b -> V2 a -> V2 a #

Bounded a => Bounded (V2 a)

Instance details

Defined in Linear.V2

Methods

minBound :: V2 a #

maxBound :: V2 a #

Floating a => Floating (V2 a)

Instance details

Defined in Linear.V2

Methods

pi :: V2 a #

exp :: V2 a -> V2 a #

log :: V2 a -> V2 a #

sqrt :: V2 a -> V2 a #

(**) :: V2 a -> V2 a -> V2 a #

logBase :: V2 a -> V2 a -> V2 a #

sin :: V2 a -> V2 a #

cos :: V2 a -> V2 a #

tan :: V2 a -> V2 a #

asin :: V2 a -> V2 a #

acos :: V2 a -> V2 a #

atan :: V2 a -> V2 a #

sinh :: V2 a -> V2 a #

cosh :: V2 a -> V2 a #

tanh :: V2 a -> V2 a #

asinh :: V2 a -> V2 a #

acosh :: V2 a -> V2 a #

atanh :: V2 a -> V2 a #

log1p :: V2 a -> V2 a #

expm1 :: V2 a -> V2 a #

log1pexp :: V2 a -> V2 a #

log1mexp :: V2 a -> V2 a #

Generic (V2 a)

Instance details

Defined in Linear.V2

Associated Types

type Rep (V2 a)
Instance details Defined in Linear.V2 type Rep (V2 a) = D1 ('MetaData "V2" "Linear.V2" "linear-1.23.2-DpgMnhOw1WnCVLrcyVjH04" 'False) (C1 ('MetaCons "V2" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'SourceStrict 'DecidedStrict) (Rec0 a) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'SourceStrict 'DecidedStrict) (Rec0 a)))

Methods

from :: V2 a -> Rep (V2 a) x #

to :: Rep (V2 a) x -> V2 a #

Ix a => Ix (V2 a)

Instance details

Defined in Linear.V2

Methods

range :: (V2 a, V2 a) -> [V2 a] #

index :: (V2 a, V2 a) -> V2 a -> Int #

unsafeIndex :: (V2 a, V2 a) -> V2 a -> Int #

inRange :: (V2 a, V2 a) -> V2 a -> Bool #

rangeSize :: (V2 a, V2 a) -> Int #

unsafeRangeSize :: (V2 a, V2 a) -> Int #

Num a => Num (V2 a)

Instance details

Defined in Linear.V2

Methods

(+) :: V2 a -> V2 a -> V2 a #

(-) :: V2 a -> V2 a -> V2 a #

(*) :: V2 a -> V2 a -> V2 a #

negate :: V2 a -> V2 a #

abs :: V2 a -> V2 a #

signum :: V2 a -> V2 a #

fromInteger :: Integer -> V2 a #

Read a => Read (V2 a)

Instance details

Defined in Linear.V2

Methods

readsPrec :: Int -> ReadS (V2 a) #

readList :: ReadS [V2 a] #

readPrec :: ReadPrec (V2 a) #

readListPrec :: ReadPrec [V2 a] #

Fractional a => Fractional (V2 a)

Instance details

Defined in Linear.V2

Methods

(/) :: V2 a -> V2 a -> V2 a #

recip :: V2 a -> V2 a #

fromRational :: Rational -> V2 a #

Show a => Show (V2 a)

Instance details

Defined in Linear.V2

Methods

showsPrec :: Int -> V2 a -> ShowS #

show :: V2 a -> String #

showList :: [V2 a] -> ShowS #

Binary a => Binary (V2 a)

Instance details

Defined in Linear.V2

Methods

put :: V2 a -> Put #

get :: Get (V2 a) #

putList :: [V2 a] -> Put #

Serial a => Serial (V2 a)

Instance details

Defined in Linear.V2

Methods

serialize :: MonadPut m => V2 a -> m () #

deserialize :: MonadGet m => m (V2 a) #

Serialize a => Serialize (V2 a)

Instance details

Defined in Linear.V2

Methods

put :: Putter (V2 a) #

get :: Get (V2 a) #

NFData a => NFData (V2 a)

Instance details

Defined in Linear.V2

Methods

rnf :: V2 a -> () #

Transformable (V2 n) Source #

Instance details

Defined in Diagrams.TwoD.Types

Methods

transform :: Transformation (V (V2 n)) (N (V2 n)) -> V2 n -> V2 n #

Coordinates (V2 n) Source #

Instance details

Defined in Diagrams.Coordinates

Associated Types

type FinalCoord (V2 n)
Instance details Defined in Diagrams.Coordinates type FinalCoord (V2 n) = n
type PrevDim (V2 n)
Instance details Defined in Diagrams.Coordinates type PrevDim (V2 n) = n
type Decomposition (V2 n)
Instance details Defined in Diagrams.Coordinates type Decomposition (V2 n) = n :& n

Methods

(^&) :: PrevDim (V2 n) -> FinalCoord (V2 n) -> V2 n Source #

pr :: PrevDim (V2 n) -> FinalCoord (V2 n) -> V2 n Source #

coords :: V2 n -> Decomposition (V2 n) Source #

Eq a => Eq (V2 a)

Instance details

Defined in Linear.V2

Methods

(==) :: V2 a -> V2 a -> Bool #

(/=) :: V2 a -> V2 a -> Bool #

Ord a => Ord (V2 a)

Instance details

Defined in Linear.V2

Methods

compare :: V2 a -> V2 a -> Ordering #

(<) :: V2 a -> V2 a -> Bool #

(<=) :: V2 a -> V2 a -> Bool #

(>) :: V2 a -> V2 a -> Bool #

(>=) :: V2 a -> V2 a -> Bool #

max :: V2 a -> V2 a -> V2 a #

min :: V2 a -> V2 a -> V2 a #

Hashable a => Hashable (V2 a)

Instance details

Defined in Linear.V2

Methods

hashWithSalt :: Int -> V2 a -> Int #

hash :: V2 a -> Int #

Ixed (V2 a)

Instance details

Defined in Linear.V2

Methods

ix :: Index (V2 a) -> Traversal' (V2 a) (IxValue (V2 a)) #

Epsilon a => Epsilon (V2 a)

Instance details

Defined in Linear.V2

Methods

nearZero :: V2 a -> Bool #

Random a => Random (V2 a)

Instance details

Defined in Linear.V2

Methods

randomR :: RandomGen g => (V2 a, V2 a) -> g -> (V2 a, g) #

random :: RandomGen g => g -> (V2 a, g) #

randomRs :: RandomGen g => (V2 a, V2 a) -> g -> [V2 a] #

randoms :: RandomGen g => g -> [V2 a] #

Uniform a => Uniform (V2 a)

Instance details

Defined in Linear.V2

Methods

uniformM :: StatefulGen g m => g -> m (V2 a) #

UniformRange a => UniformRange (V2 a)

Instance details

Defined in Linear.V2

Methods

uniformRM :: StatefulGen g m => (V2 a, V2 a) -> g -> m (V2 a) #

isInRange :: (V2 a, V2 a) -> V2 a -> Bool #

Unbox a => Unbox (V2 a)

Instance details

Defined in Linear.V2

RealFloat n => HasQuery (Located (Trail V2 n)) Crossings Source #

Instance details

Defined in Diagrams.TwoD.Path

Methods

getQuery :: Located (Trail V2 n) -> Query (V (Located (Trail V2 n))) (N (Located (Trail V2 n))) Crossings Source #

RealFloat n => HasQuery (Located (Trail' l V2 n)) Crossings Source #

Instance details

Defined in Diagrams.TwoD.Path

Methods

getQuery :: Located (Trail' l V2 n) -> Query (V (Located (Trail' l V2 n))) (N (Located (Trail' l V2 n))) Crossings Source #

FoldableWithIndex (E V2) V2

Instance details

Defined in Linear.V2

Methods

ifoldMap :: Monoid m => (E V2 -> a -> m) -> V2 a -> m #

ifoldMap' :: Monoid m => (E V2 -> a -> m) -> V2 a -> m #

ifoldr :: (E V2 -> a -> b -> b) -> b -> V2 a -> b #

ifoldl :: (E V2 -> b -> a -> b) -> b -> V2 a -> b #

ifoldr' :: (E V2 -> a -> b -> b) -> b -> V2 a -> b #

ifoldl' :: (E V2 -> b -> a -> b) -> b -> V2 a -> b #

FunctorWithIndex (E V2) V2

Instance details

Defined in Linear.V2

Methods

imap :: (E V2 -> a -> b) -> V2 a -> V2 b #

TraversableWithIndex (E V2) V2

Instance details

Defined in Linear.V2

Methods

itraverse :: Applicative f => (E V2 -> a -> f b) -> V2 a -> f (V2 b) #

Each (V2 a) (V2 b) a b

Instance details

Defined in Linear.V2

Methods

each :: Traversal (V2 a) (V2 b) a b #

Field1 (V2 a) (V2 a) a a

Instance details

Defined in Linear.V2

Methods

_1 :: Lens (V2 a) (V2 a) a a #

Field2 (V2 a) (V2 a) a a

Instance details

Defined in Linear.V2

Methods

_2 :: Lens (V2 a) (V2 a) a a #

RealFloat n => Traced (BoundingBox V2 n) Source #

Instance details

Defined in Diagrams.BoundingBox

Methods

getTrace :: BoundingBox V2 n -> Trace (V (BoundingBox V2 n)) (N (BoundingBox V2 n)) #

RealFloat n => Traced (Path V2 n) Source #

Instance details

Defined in Diagrams.TwoD.Path

Methods

getTrace :: Path V2 n -> Trace (V (Path V2 n)) (N (Path V2 n)) #

OrderedField n => Traced (FixedSegment V2 n) Source #

Instance details

Defined in Diagrams.TwoD.Segment

Methods

getTrace :: FixedSegment V2 n -> Trace (V (FixedSegment V2 n)) (N (FixedSegment V2 n)) #

RealFloat n => Traced (Trail V2 n) Source #

Instance details

Defined in Diagrams.TwoD.Path

Methods

getTrace :: Trail V2 n -> Trace (V (Trail V2 n)) (N (Trail V2 n)) #

RealFloat n => HasQuery (Path V2 n) Crossings Source #

Instance details

Defined in Diagrams.TwoD.Path

Methods

getQuery :: Path V2 n -> Query (V (Path V2 n)) (N (Path V2 n)) Crossings Source #

OrderedField n => Traced (Segment Closed V2 n) Source #

Instance details

Defined in Diagrams.TwoD.Segment

Methods

getTrace :: Segment Closed V2 n -> Trace (V (Segment Closed V2 n)) (N (Segment Closed V2 n)) #

(TypeableFloat n, Renderable (Path V2 n) b) => TrailLike (QDiagram b V2 n Any) Source #

Instance details

Defined in Diagrams.TwoD.Path

Methods

trailLike :: Located (Trail (V (QDiagram b V2 n Any)) (N (QDiagram b V2 n Any))) -> QDiagram b V2 n Any Source #

type Rep V2

Instance details

Defined in Linear.V2

type Rep V2 = E V2

type Diff V2

Instance details

Defined in Linear.Affine

type Diff V2 = V2

type Size V2

Instance details

Defined in Linear.V2

type Size V2 = 2

type Rep1 V2

Instance details

Defined in Linear.V2

type Rep1 V2 = D1 ('MetaData "V2" "Linear.V2" "linear-1.23.2-DpgMnhOw1WnCVLrcyVjH04" 'False) (C1 ('MetaCons "V2" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'SourceStrict 'DecidedStrict) Par1 :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'SourceStrict 'DecidedStrict) Par1))

data MVector s (V2 a)

Instance details

Defined in Linear.V2

data MVector s (V2 a) = MV_V2 !Int !(MVector s a)

type Rep (V2 a)

Instance details

Defined in Linear.V2

type Rep (V2 a) = D1 ('MetaData "V2" "Linear.V2" "linear-1.23.2-DpgMnhOw1WnCVLrcyVjH04" 'False) (C1 ('MetaCons "V2" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'SourceStrict 'DecidedStrict) (Rec0 a) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'SourceStrict 'DecidedStrict) (Rec0 a)))

type N (V2 n) Source #

Instance details

Defined in Diagrams.TwoD.Types

type N (V2 n) = n

type V (V2 n) Source #

Instance details

Defined in Diagrams.TwoD.Types

type V (V2 n) = V2

type Decomposition (V2 n) Source #

Instance details

Defined in Diagrams.Coordinates

type Decomposition (V2 n) = n :& n

type FinalCoord (V2 n) Source #

Instance details

Defined in Diagrams.Coordinates

type FinalCoord (V2 n) = n

type PrevDim (V2 n) Source #

Instance details

Defined in Diagrams.Coordinates

type PrevDim (V2 n) = n

type Index (V2 a)

Instance details

Defined in Linear.V2

type Index (V2 a) = E V2

type IxValue (V2 a)

Instance details

Defined in Linear.V2

type IxValue (V2 a) = a

data Vector (V2 a)

Instance details

Defined in Linear.V2

data Vector (V2 a) = V_V2 !Int !(Vector a)

class R1 (t :: Type -> Type) where #

A space that has at least 1 basis vector _x.

Methods

_x :: Lens' (t a) a #

>>> V1 2 ^._x
2

>>> V1 2 & _x .~ 3
V1 3

Instances

Instances details

R1 Identity
Instance details Defined in Linear.V1 Methods _x :: Lens' (Identity a) a #
R1 Quaternion
Instance details Defined in Linear.Quaternion Methods _x :: Lens' (Quaternion a) a #
R1 V1
Instance details Defined in Linear.V1 Methods _x :: Lens' (V1 a) a #
R1 V2
Instance details Defined in Linear.V2 Methods _x :: Lens' (V2 a) a #
R1 V3
Instance details Defined in Linear.V3 Methods _x :: Lens' (V3 a) a #
R1 V4
Instance details Defined in Linear.V4 Methods _x :: Lens' (V4 a) a #
R1 f => R1 (Point f)
Instance details Defined in Linear.Affine Methods _x :: Lens' (Point f a) a #

class R1 t => R2 (t :: Type -> Type) where #

A space that distinguishes 2 orthogonal basis vectors _x and _y, but may have more.

Minimal complete definition

_xy

Methods

_y :: Lens' (t a) a #

>>> V2 1 2 ^._y
2

>>> V2 1 2 & _y .~ 3
V2 1 3

_xy :: Lens' (t a) (V2 a) #

Instances

Instances details

R2 Quaternion
Instance details Defined in Linear.Quaternion Methods _y :: Lens' (Quaternion a) a # _xy :: Lens' (Quaternion a) (V2 a) #
R2 V2
Instance details Defined in Linear.V2 Methods _y :: Lens' (V2 a) a # _xy :: Lens' (V2 a) (V2 a) #
R2 V3
Instance details Defined in Linear.V3 Methods _y :: Lens' (V3 a) a # _xy :: Lens' (V3 a) (V2 a) #
R2 V4
Instance details Defined in Linear.V4 Methods _y :: Lens' (V4 a) a # _xy :: Lens' (V4 a) (V2 a) #
R2 f => R2 (Point f)
Instance details Defined in Linear.Affine Methods _y :: Lens' (Point f a) a # _xy :: Lens' (Point f a) (V2 a) #

type P2 = Point V2 Source #

type T2 = Transformation V2 Source #

r2 :: (n, n) -> V2 n Source #

Construct a 2D vector from a pair of components. See also &.

unr2 :: V2 n -> (n, n) Source #

Convert a 2D vector back into a pair of components. See also coords.

mkR2 :: n -> n -> V2 n Source #

Curried form of r2.

r2Iso :: forall n p f. (Profunctor p, Functor f) => p (n, n) (f (n, n)) -> p (V2 n) (f (V2 n)) Source #

p2 :: (n, n) -> P2 n Source #

Construct a 2D point from a pair of coordinates. See also ^&.

mkP2 :: n -> n -> P2 n Source #

Curried form of p2.

unp2 :: P2 n -> (n, n) Source #

Convert a 2D point back into a pair of coordinates. See also coords.

p2Iso :: forall n p f. (Profunctor p, Functor f) => p (n, n) (f (n, n)) -> p (Point V2 n) (f (Point V2 n)) Source #

r2PolarIso :: RealFloat n => Iso' (V2 n) (n, Angle n) Source #

class HasR (t :: Type -> Type) where Source #

A space which has magnitude _r that can be calculated numerically.

Methods

_r :: RealFloat n => Lens' (t n) n Source #

Instances

Instances details

HasR V2 Source #
Instance details Defined in Diagrams.TwoD.Types Methods _r :: RealFloat n => Lens' (V2 n) n Source #
HasR V3 Source #
Instance details Defined in Diagrams.ThreeD.Types Methods _r :: RealFloat n => Lens' (V3 n) n Source #
HasR v => HasR (Point v) Source #
Instance details Defined in Diagrams.TwoD.Types Methods _r :: RealFloat n => Lens' (Point v n) n Source #

Orphan instances

HasTheta V2 Source #
Instance details Methods _theta :: RealFloat n => Lens' (V2 n) (Angle n) Source #
Transformable (V2 n) Source #
Instance details Methods transform :: Transformation (V (V2 n)) (N (V2 n)) -> V2 n -> V2 n #