mischief-math

Safe Haskell	None
Language	GHC2024

Mischief.Math.Vec

Synopsis

data V2 a = V2 !a !a
data V3 a = V3 !a !a !a
data V4 a = V4 !a !a !a !a
ext2 :: a -> V2 a -> V3 a
trunc3 :: V3 a -> V2 a
newtype Dir3 a = Dir3 (V3 a)
dir3 :: (Floating a, Epsilon a) => a -> a -> a -> Dir3 a

Documentation

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 #

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 #

Instance details

Defined in Linear.V2

Methods

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

Instance details

Defined in Linear.V2

Methods

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

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] #

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 #

Instance details

Defined in Linear.V2

Methods

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

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

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) #

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 #

Instance details

Defined in Linear.V2

Methods

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

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

Instance details

Defined in Linear.V2

Methods

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

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

return :: a -> V2 a #

Instance details

Defined in Linear.V2

Methods

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

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) #

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 #

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) #

Instance details

Defined in Linear.V2

Methods

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

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 #

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 #

Instance details

Defined in Linear.Trace

Methods

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

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

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 #

Instance details

Defined in Linear.V2

Methods

_x :: Lens' (V2 a) a #

Instance details

Defined in Linear.V2

Methods

_y :: Lens' (V2 a) a #

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

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 #

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 #

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) #

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-1.23.3-5f2e44cc50784b84eb2261548e6d9000492c6e45d89822c8ebe868ce778eb9a3" '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 #

HasField "x" (V2 a :: Type) (a :: Type) Source #

Instance details

Defined in Mischief.Math.Vec.Orphans.FieldAccessors

Methods

getField :: V2 a -> a #

HasField "y" (V2 a :: Type) (a :: Type) Source #

Instance details

Defined in Mischief.Math.Vec.Orphans.FieldAccessors

Methods

getField :: V2 a -> a #

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) #

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 #

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)) #

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) #

Default a => Default (V2 a) Source #

Instance details

Defined in Mischief.Math.Vec.Orphans.Default

Methods

def :: V2 a #

NFData a => NFData (V2 a) #

Instance details

Defined in Linear.V2

Methods

rnf :: V2 a -> () #

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 #

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) #

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 #

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 () #

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-1.23.3-5f2e44cc50784b84eb2261548e6d9000492c6e45d89822c8ebe868ce778eb9a3" '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 #

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

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 #

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-1.23.3-5f2e44cc50784b84eb2261548e6d9000492c6e45d89822c8ebe868ce778eb9a3" '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-1.23.3-5f2e44cc50784b84eb2261548e6d9000492c6e45d89822c8ebe868ce778eb9a3" '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 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)

data V3 a #

A 3-dimensional vector

Constructors

V3 !a !a !a

Instances

Instances details

Representable V3 #

Instance details

Defined in Linear.V3

Associated Types

type Rep V3
Instance details Defined in Linear.V3 type Rep V3 = E V3

Methods

tabulate :: (Rep V3 -> a) -> V3 a #

index :: V3 a -> Rep V3 -> a #

Instance details

Defined in Linear.V3

Methods

fold1 :: Semigroup m => V3 m -> m #

foldMap1 :: Semigroup m => (a -> m) -> V3 a -> m #

foldMap1' :: Semigroup m => (a -> m) -> V3 a -> m #

toNonEmpty :: V3 a -> NonEmpty a #

maximum :: Ord a => V3 a -> a #

minimum :: Ord a => V3 a -> a #

head :: V3 a -> a #

last :: V3 a -> a #

foldrMap1 :: (a -> b) -> (a -> b -> b) -> V3 a -> b #

foldlMap1' :: (a -> b) -> (b -> a -> b) -> V3 a -> b #

foldlMap1 :: (a -> b) -> (b -> a -> b) -> V3 a -> b #

foldrMap1' :: (a -> b) -> (a -> b -> b) -> V3 a -> b #

Instance details

Defined in Linear.V3

Methods

liftEq :: (a -> b -> Bool) -> V3 a -> V3 b -> Bool #

Instance details

Defined in Linear.V3

Methods

liftCompare :: (a -> b -> Ordering) -> V3 a -> V3 b -> Ordering #

Instance details

Defined in Linear.V3

Methods

liftReadsPrec :: (Int -> ReadS a) -> ReadS [a] -> Int -> ReadS (V3 a) #

liftReadList :: (Int -> ReadS a) -> ReadS [a] -> ReadS [V3 a] #

liftReadPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec (V3 a) #

liftReadListPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec [V3 a] #

Instance details

Defined in Linear.V3

Methods

liftShowsPrec :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> V3 a -> ShowS #

liftShowList :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> [V3 a] -> ShowS #

Instance details

Defined in Linear.V3

Methods

serializeWith :: MonadPut m => (a -> m ()) -> V3 a -> m () #

deserializeWith :: MonadGet m => m a -> m (V3 a) #

Distributive V3 #

Instance details

Defined in Linear.V3

Methods

distribute :: Functor f => f (V3 a) -> V3 (f a) #

collect :: Functor f => (a -> V3 b) -> f a -> V3 (f b) #

distributeM :: Monad m => m (V3 a) -> V3 (m a) #

collectM :: Monad m => (a -> V3 b) -> m a -> V3 (m b) #

Applicative V3 #

Instance details

Defined in Linear.V3

Methods

pure :: a -> V3 a #

(<*>) :: V3 (a -> b) -> V3 a -> V3 b #

liftA2 :: (a -> b -> c) -> V3 a -> V3 b -> V3 c #

(*>) :: V3 a -> V3 b -> V3 b #

(<*) :: V3 a -> V3 b -> V3 a #

Instance details

Defined in Linear.V3

Methods

fmap :: (a -> b) -> V3 a -> V3 b #

(<$) :: a -> V3 b -> V3 a #

Instance details

Defined in Linear.V3

Methods

(>>=) :: V3 a -> (a -> V3 b) -> V3 b #

(>>) :: V3 a -> V3 b -> V3 b #

return :: a -> V3 a #

Instance details

Defined in Linear.V3

Methods

mfix :: (a -> V3 a) -> V3 a #

Instance details

Defined in Linear.V3

Methods

mzip :: V3 a -> V3 b -> V3 (a, b) #

mzipWith :: (a -> b -> c) -> V3 a -> V3 b -> V3 c #

munzip :: V3 (a, b) -> (V3 a, V3 b) #

Instance details

Defined in Linear.V3

Methods

fold :: Monoid m => V3 m -> m #

foldMap :: Monoid m => (a -> m) -> V3 a -> m #

foldMap' :: Monoid m => (a -> m) -> V3 a -> m #

foldr :: (a -> b -> b) -> b -> V3 a -> b #

foldr' :: (a -> b -> b) -> b -> V3 a -> b #

foldl :: (b -> a -> b) -> b -> V3 a -> b #

foldl' :: (b -> a -> b) -> b -> V3 a -> b #

foldr1 :: (a -> a -> a) -> V3 a -> a #

foldl1 :: (a -> a -> a) -> V3 a -> a #

toList :: V3 a -> [a] #

null :: V3 a -> Bool #

length :: V3 a -> Int #

elem :: Eq a => a -> V3 a -> Bool #

maximum :: Ord a => V3 a -> a #

minimum :: Ord a => V3 a -> a #

sum :: Num a => V3 a -> a #

product :: Num a => V3 a -> a #

Traversable V3 #

Instance details

Defined in Linear.V3

Methods

traverse :: Applicative f => (a -> f b) -> V3 a -> f (V3 b) #

sequenceA :: Applicative f => V3 (f a) -> f (V3 a) #

mapM :: Monad m => (a -> m b) -> V3 a -> m (V3 b) #

sequence :: Monad m => V3 (m a) -> m (V3 a) #

Instance details

Defined in Linear.V3

Methods

liftHashWithSalt :: (Int -> a -> Int) -> Int -> V3 a -> Int #

Instance details

Defined in Linear.Affine

Associated Types

type Diff V3
Instance details Defined in Linear.Affine type Diff V3 = V3

Methods

(.-.) :: Num a => V3 a -> V3 a -> Diff V3 a #

(.+^) :: Num a => V3 a -> Diff V3 a -> V3 a #

(.-^) :: Num a => V3 a -> Diff V3 a -> V3 a #

Instance details

Defined in Linear.V3

Methods

dot :: Num a => V3 a -> V3 a -> a #

quadrance :: Num a => V3 a -> a #

qd :: Num a => V3 a -> V3 a -> a #

distance :: Floating a => V3 a -> V3 a -> a #

norm :: Floating a => V3 a -> a #

signorm :: Floating a => V3 a -> V3 a #

Instance details

Defined in Linear.Trace

Methods

trace :: Num a => V3 (V3 a) -> a #

diagonal :: V3 (V3 a) -> V3 a #

Instance details

Defined in Linear.V3

Associated Types

type Size V3
Instance details Defined in Linear.V3 type Size V3 = 3

Methods

toV :: V3 a -> V (Size V3) a #

fromV :: V (Size V3) a -> V3 a #

Instance details

Defined in Linear.V3

Methods

_x :: Lens' (V3 a) a #

Instance details

Defined in Linear.V3

Methods

_y :: Lens' (V3 a) a #

_xy :: Lens' (V3 a) (V2 a) #

Instance details

Defined in Linear.V3

Methods

_z :: Lens' (V3 a) a #

_xyz :: Lens' (V3 a) (V3 a) #

Instance details

Defined in Linear.V3

Methods

zero :: Num a => V3 a #

(^+^) :: Num a => V3 a -> V3 a -> V3 a #

(^-^) :: Num a => V3 a -> V3 a -> V3 a #

lerp :: Num a => a -> V3 a -> V3 a -> V3 a #

liftU2 :: (a -> a -> a) -> V3 a -> V3 a -> V3 a #

liftI2 :: (a -> b -> c) -> V3 a -> V3 b -> V3 c #

Instance details

Defined in Linear.V3

Methods

(<.>) :: V3 (a -> b) -> V3 a -> V3 b #

(.>) :: V3 a -> V3 b -> V3 b #

(<.) :: V3 a -> V3 b -> V3 a #

liftF2 :: (a -> b -> c) -> V3 a -> V3 b -> V3 c #

Instance details

Defined in Linear.V3

Methods

(>>-) :: V3 a -> (a -> V3 b) -> V3 b #

join :: V3 (V3 a) -> V3 a #

Traversable1 V3 #

Instance details

Defined in Linear.V3

Methods

traverse1 :: Apply f => (a -> f b) -> V3 a -> f (V3 b) #

sequence1 :: Apply f => V3 (f b) -> f (V3 b) #

Instance details

Defined in Linear.V3

Associated Types

type Rep1 V3

Instance details

Defined in Linear.V3

type Rep1 V3 = D1 ('MetaData "V3" "Linear.V3" "linear-1.23.3-5f2e44cc50784b84eb2261548e6d9000492c6e45d89822c8ebe868ce778eb9a3" 'False) (C1 ('MetaCons "V3" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'SourceStrict 'DecidedStrict) Par1 :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'SourceStrict 'DecidedStrict) Par1 :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'SourceStrict 'DecidedStrict) Par1)))

Methods

from1 :: V3 a -> Rep1 V3 a #

to1 :: Rep1 V3 a -> V3 a #

HasField "x" (V3 a :: Type) (a :: Type) Source #

Instance details

Defined in Mischief.Math.Vec.Orphans.FieldAccessors

Methods

getField :: V3 a -> a #

HasField "y" (V3 a :: Type) (a :: Type) Source #

Instance details

Defined in Mischief.Math.Vec.Orphans.FieldAccessors

Methods

getField :: V3 a -> a #

HasField "z" (V3 a :: Type) (a :: Type) Source #

Instance details

Defined in Mischief.Math.Vec.Orphans.FieldAccessors

Methods

getField :: V3 a -> a #

HasField "vec" (Dir3 a :: Type) (V3 a :: Type) Source #

Instance details

Defined in Mischief.Math.Vec

Methods

getField :: Dir3 a -> V3 a #

Lift a => Lift (V3 a :: Type) #

Instance details

Defined in Linear.V3

Methods

lift :: Quote m => V3 a -> m Exp #

liftTyped :: forall (m :: Type -> Type). Quote m => V3 a -> Code m (V3 a) #

Num r => Coalgebra r (E V3) #

Instance details

Defined in Linear.Algebra

Methods

comult :: (E V3 -> r) -> E V3 -> E V3 -> r #

counital :: (E V3 -> r) -> r #

Unbox a => Vector Vector (V3 a) #

Instance details

Defined in Linear.V3

Methods

basicUnsafeFreeze :: Mutable Vector s (V3 a) -> ST s (Vector (V3 a)) #

basicUnsafeThaw :: Vector (V3 a) -> ST s (Mutable Vector s (V3 a)) #

basicLength :: Vector (V3 a) -> Int #

basicUnsafeSlice :: Int -> Int -> Vector (V3 a) -> Vector (V3 a) #

basicUnsafeIndexM :: Vector (V3 a) -> Int -> Box (V3 a) #

basicUnsafeCopy :: Mutable Vector s (V3 a) -> Vector (V3 a) -> ST s () #

elemseq :: Vector (V3 a) -> V3 a -> b -> b #

Unbox a => MVector MVector (V3 a) #

Instance details

Defined in Linear.V3

Methods

basicLength :: MVector s (V3 a) -> Int #

basicUnsafeSlice :: Int -> Int -> MVector s (V3 a) -> MVector s (V3 a) #

basicOverlaps :: MVector s (V3 a) -> MVector s (V3 a) -> Bool #

basicUnsafeNew :: Int -> ST s (MVector s (V3 a)) #

basicInitialize :: MVector s (V3 a) -> ST s () #

basicUnsafeReplicate :: Int -> V3 a -> ST s (MVector s (V3 a)) #

basicUnsafeRead :: MVector s (V3 a) -> Int -> ST s (V3 a) #

basicUnsafeWrite :: MVector s (V3 a) -> Int -> V3 a -> ST s () #

basicClear :: MVector s (V3 a) -> ST s () #

basicSet :: MVector s (V3 a) -> V3 a -> ST s () #

basicUnsafeCopy :: MVector s (V3 a) -> MVector s (V3 a) -> ST s () #

basicUnsafeMove :: MVector s (V3 a) -> MVector s (V3 a) -> ST s () #

basicUnsafeGrow :: MVector s (V3 a) -> Int -> ST s (MVector s (V3 a)) #

Binary a => Binary (V3 a) #

Instance details

Defined in Linear.V3

Methods

put :: V3 a -> Put #

get :: Get (V3 a) #

putList :: [V3 a] -> Put #

Serial a => Serial (V3 a) #

Instance details

Defined in Linear.V3

Methods

serialize :: MonadPut m => V3 a -> m () #

deserialize :: MonadGet m => m (V3 a) #

Serialize a => Serialize (V3 a) #

Instance details

Defined in Linear.V3

Methods

put :: Putter (V3 a) #

get :: Get (V3 a) #

Default a => Default (V3 a) Source #

Instance details

Defined in Mischief.Math.Vec.Orphans.Default

Methods

def :: V3 a #

NFData a => NFData (V3 a) #

Instance details

Defined in Linear.V3

Methods

rnf :: V3 a -> () #

Monoid a => Monoid (V3 a) #

Instance details

Defined in Linear.V3

Methods

mempty :: V3 a #

mappend :: V3 a -> V3 a -> V3 a #

mconcat :: [V3 a] -> V3 a #

Semigroup a => Semigroup (V3 a) #

Instance details

Defined in Linear.V3

Methods

(<>) :: V3 a -> V3 a -> V3 a #

sconcat :: NonEmpty (V3 a) -> V3 a #

stimes :: Integral b => b -> V3 a -> V3 a #

Data a => Data (V3 a) #

Instance details

Defined in Linear.V3

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> V3 a -> c (V3 a) #

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (V3 a) #

toConstr :: V3 a -> Constr #

dataTypeOf :: V3 a -> DataType #

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (V3 a)) #

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (V3 a)) #

gmapT :: (forall b. Data b => b -> b) -> V3 a -> V3 a #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> V3 a -> r #

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> V3 a -> r #

gmapQ :: (forall d. Data d => d -> u) -> V3 a -> [u] #

gmapQi :: Int -> (forall d. Data d => d -> u) -> V3 a -> u #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> V3 a -> m (V3 a) #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> V3 a -> m (V3 a) #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> V3 a -> m (V3 a) #

Bounded a => Bounded (V3 a) #

Instance details

Defined in Linear.V3

Methods

minBound :: V3 a #

maxBound :: V3 a #

Floating a => Floating (V3 a) #

Instance details

Defined in Linear.V3

Methods

pi :: V3 a #

exp :: V3 a -> V3 a #

log :: V3 a -> V3 a #

sqrt :: V3 a -> V3 a #

(**) :: V3 a -> V3 a -> V3 a #

logBase :: V3 a -> V3 a -> V3 a #

sin :: V3 a -> V3 a #

cos :: V3 a -> V3 a #

tan :: V3 a -> V3 a #

asin :: V3 a -> V3 a #

acos :: V3 a -> V3 a #

atan :: V3 a -> V3 a #

sinh :: V3 a -> V3 a #

cosh :: V3 a -> V3 a #

tanh :: V3 a -> V3 a #

asinh :: V3 a -> V3 a #

acosh :: V3 a -> V3 a #

atanh :: V3 a -> V3 a #

log1p :: V3 a -> V3 a #

expm1 :: V3 a -> V3 a #

log1pexp :: V3 a -> V3 a #

log1mexp :: V3 a -> V3 a #

Storable a => Storable (V3 a) #

Instance details

Defined in Linear.V3

Methods

sizeOf :: V3 a -> Int #

alignment :: V3 a -> Int #

peekElemOff :: Ptr (V3 a) -> Int -> IO (V3 a) #

pokeElemOff :: Ptr (V3 a) -> Int -> V3 a -> IO () #

peekByteOff :: Ptr b -> Int -> IO (V3 a) #

pokeByteOff :: Ptr b -> Int -> V3 a -> IO () #

peek :: Ptr (V3 a) -> IO (V3 a) #

poke :: Ptr (V3 a) -> V3 a -> IO () #

Generic (V3 a) #

Instance details

Defined in Linear.V3

Associated Types

type Rep (V3 a)

Instance details

Defined in Linear.V3

type Rep (V3 a) = D1 ('MetaData "V3" "Linear.V3" "linear-1.23.3-5f2e44cc50784b84eb2261548e6d9000492c6e45d89822c8ebe868ce778eb9a3" 'False) (C1 ('MetaCons "V3" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'SourceStrict 'DecidedStrict) (Rec0 a) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'SourceStrict 'DecidedStrict) (Rec0 a) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'SourceStrict 'DecidedStrict) (Rec0 a))))

Methods

from :: V3 a -> Rep (V3 a) x #

to :: Rep (V3 a) x -> V3 a #

Ix a => Ix (V3 a) #

Instance details

Defined in Linear.V3

Methods

range :: (V3 a, V3 a) -> [V3 a] #

index :: (V3 a, V3 a) -> V3 a -> Int #

unsafeIndex :: (V3 a, V3 a) -> V3 a -> Int #

inRange :: (V3 a, V3 a) -> V3 a -> Bool #

rangeSize :: (V3 a, V3 a) -> Int #

unsafeRangeSize :: (V3 a, V3 a) -> Int #

Num a => Num (V3 a) #

Instance details

Defined in Linear.V3

Methods

(+) :: V3 a -> V3 a -> V3 a #

(-) :: V3 a -> V3 a -> V3 a #

(*) :: V3 a -> V3 a -> V3 a #

negate :: V3 a -> V3 a #

abs :: V3 a -> V3 a #

signum :: V3 a -> V3 a #

fromInteger :: Integer -> V3 a #

Read a => Read (V3 a) #

Instance details

Defined in Linear.V3

Methods

readsPrec :: Int -> ReadS (V3 a) #

readList :: ReadS [V3 a] #

readPrec :: ReadPrec (V3 a) #

readListPrec :: ReadPrec [V3 a] #

Fractional a => Fractional (V3 a) #

Instance details

Defined in Linear.V3

Methods

(/) :: V3 a -> V3 a -> V3 a #

recip :: V3 a -> V3 a #

fromRational :: Rational -> V3 a #

Show a => Show (V3 a) #

Instance details

Defined in Linear.V3

Methods

showsPrec :: Int -> V3 a -> ShowS #

show :: V3 a -> String #

showList :: [V3 a] -> ShowS #

Eq a => Eq (V3 a) #

Instance details

Defined in Linear.V3

Methods

(==) :: V3 a -> V3 a -> Bool #

(/=) :: V3 a -> V3 a -> Bool #

Ord a => Ord (V3 a) #

Instance details

Defined in Linear.V3

Methods

compare :: V3 a -> V3 a -> Ordering #

(<) :: V3 a -> V3 a -> Bool #

(<=) :: V3 a -> V3 a -> Bool #

(>) :: V3 a -> V3 a -> Bool #

(>=) :: V3 a -> V3 a -> Bool #

max :: V3 a -> V3 a -> V3 a #

min :: V3 a -> V3 a -> V3 a #

Hashable a => Hashable (V3 a) #

Instance details

Defined in Linear.V3

Methods

hashWithSalt :: Int -> V3 a -> Int #

hash :: V3 a -> Int #

Ixed (V3 a) #

Instance details

Defined in Linear.V3

Methods

ix :: Index (V3 a) -> Traversal' (V3 a) (IxValue (V3 a)) #

Epsilon a => Epsilon (V3 a) #

Instance details

Defined in Linear.V3

Methods

nearZero :: V3 a -> Bool #

Random a => Random (V3 a) #

Instance details

Defined in Linear.V3

Methods

randomR :: RandomGen g => (V3 a, V3 a) -> g -> (V3 a, g) #

random :: RandomGen g => g -> (V3 a, g) #

randomRs :: RandomGen g => (V3 a, V3 a) -> g -> [V3 a] #

randoms :: RandomGen g => g -> [V3 a] #

Uniform a => Uniform (V3 a) #

Instance details

Defined in Linear.V3

Methods

uniformM :: StatefulGen g m => g -> m (V3 a) #

UniformRange a => UniformRange (V3 a) #

Instance details

Defined in Linear.V3

Methods

uniformRM :: StatefulGen g m => (V3 a, V3 a) -> g -> m (V3 a) #

isInRange :: (V3 a, V3 a) -> V3 a -> Bool #

Unbox a => Unbox (V3 a) #

Instance details

Defined in Linear.V3

FoldableWithIndex (E V3) V3 #

Instance details

Defined in Linear.V3

Methods

ifoldMap :: Monoid m => (E V3 -> a -> m) -> V3 a -> m #

ifoldMap' :: Monoid m => (E V3 -> a -> m) -> V3 a -> m #

ifoldr :: (E V3 -> a -> b -> b) -> b -> V3 a -> b #

ifoldl :: (E V3 -> b -> a -> b) -> b -> V3 a -> b #

ifoldr' :: (E V3 -> a -> b -> b) -> b -> V3 a -> b #

ifoldl' :: (E V3 -> b -> a -> b) -> b -> V3 a -> b #

FunctorWithIndex (E V3) V3 #

Instance details

Defined in Linear.V3

Methods

imap :: (E V3 -> a -> b) -> V3 a -> V3 b #

TraversableWithIndex (E V3) V3 #

Instance details

Defined in Linear.V3

Methods

itraverse :: Applicative f => (E V3 -> a -> f b) -> V3 a -> f (V3 b) #

Each (V3 a) (V3 b) a b #

Instance details

Defined in Linear.V3

Methods

each :: Traversal (V3 a) (V3 b) a b #

Field1 (V3 a) (V3 a) a a #

Instance details

Defined in Linear.V3

Methods

_1 :: Lens (V3 a) (V3 a) a a #

Field2 (V3 a) (V3 a) a a #

Instance details

Defined in Linear.V3

Methods

_2 :: Lens (V3 a) (V3 a) a a #

Field3 (V3 a) (V3 a) a a #

Instance details

Defined in Linear.V3

Methods

_3 :: Lens (V3 a) (V3 a) a a #

type Rep V3 #

Instance details

Defined in Linear.V3

type Rep V3 = E V3

type Diff V3 #

Instance details

Defined in Linear.Affine

type Diff V3 = V3

type Size V3 #

Instance details

Defined in Linear.V3

type Size V3 = 3

type Rep1 V3 #

Instance details

Defined in Linear.V3

type Rep1 V3 = D1 ('MetaData "V3" "Linear.V3" "linear-1.23.3-5f2e44cc50784b84eb2261548e6d9000492c6e45d89822c8ebe868ce778eb9a3" 'False) (C1 ('MetaCons "V3" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'SourceStrict 'DecidedStrict) Par1 :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'SourceStrict 'DecidedStrict) Par1 :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'SourceStrict 'DecidedStrict) Par1)))

data MVector s (V3 a) #

Instance details

Defined in Linear.V3

data MVector s (V3 a) = MV_V3 !Int !(MVector s a)

type Rep (V3 a) #

Instance details

Defined in Linear.V3

type Rep (V3 a) = D1 ('MetaData "V3" "Linear.V3" "linear-1.23.3-5f2e44cc50784b84eb2261548e6d9000492c6e45d89822c8ebe868ce778eb9a3" 'False) (C1 ('MetaCons "V3" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'SourceStrict 'DecidedStrict) (Rec0 a) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'SourceStrict 'DecidedStrict) (Rec0 a) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'SourceStrict 'DecidedStrict) (Rec0 a))))

type Index (V3 a) #

Instance details

Defined in Linear.V3

type Index (V3 a) = E V3

type IxValue (V3 a) #

Instance details

Defined in Linear.V3

type IxValue (V3 a) = a

data Vector (V3 a) #

Instance details

Defined in Linear.V3

data Vector (V3 a) = V_V3 !Int !(Vector a)

data V4 a #

A 4-dimensional vector.

Constructors

V4 !a !a !a !a

Instances

Instances details

Representable V4 #

Instance details

Defined in Linear.V4

Associated Types

type Rep V4
Instance details Defined in Linear.V4 type Rep V4 = E V4

Methods

tabulate :: (Rep V4 -> a) -> V4 a #

index :: V4 a -> Rep V4 -> a #

Instance details

Defined in Linear.V4

Methods

fold1 :: Semigroup m => V4 m -> m #

foldMap1 :: Semigroup m => (a -> m) -> V4 a -> m #

foldMap1' :: Semigroup m => (a -> m) -> V4 a -> m #

toNonEmpty :: V4 a -> NonEmpty a #

maximum :: Ord a => V4 a -> a #

minimum :: Ord a => V4 a -> a #

head :: V4 a -> a #

last :: V4 a -> a #

foldrMap1 :: (a -> b) -> (a -> b -> b) -> V4 a -> b #

foldlMap1' :: (a -> b) -> (b -> a -> b) -> V4 a -> b #

foldlMap1 :: (a -> b) -> (b -> a -> b) -> V4 a -> b #

foldrMap1' :: (a -> b) -> (a -> b -> b) -> V4 a -> b #

Instance details

Defined in Linear.V4

Methods

liftEq :: (a -> b -> Bool) -> V4 a -> V4 b -> Bool #

Instance details

Defined in Linear.V4

Methods

liftCompare :: (a -> b -> Ordering) -> V4 a -> V4 b -> Ordering #

Instance details

Defined in Linear.V4

Methods

liftReadsPrec :: (Int -> ReadS a) -> ReadS [a] -> Int -> ReadS (V4 a) #

liftReadList :: (Int -> ReadS a) -> ReadS [a] -> ReadS [V4 a] #

liftReadPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec (V4 a) #

liftReadListPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec [V4 a] #

Instance details

Defined in Linear.V4

Methods

liftShowsPrec :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> V4 a -> ShowS #

liftShowList :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> [V4 a] -> ShowS #

Instance details

Defined in Linear.V4

Methods

serializeWith :: MonadPut m => (a -> m ()) -> V4 a -> m () #

deserializeWith :: MonadGet m => m a -> m (V4 a) #

Distributive V4 #

Instance details

Defined in Linear.V4

Methods

distribute :: Functor f => f (V4 a) -> V4 (f a) #

collect :: Functor f => (a -> V4 b) -> f a -> V4 (f b) #

distributeM :: Monad m => m (V4 a) -> V4 (m a) #

collectM :: Monad m => (a -> V4 b) -> m a -> V4 (m b) #

Applicative V4 #

Instance details

Defined in Linear.V4

Methods

pure :: a -> V4 a #

(<*>) :: V4 (a -> b) -> V4 a -> V4 b #

liftA2 :: (a -> b -> c) -> V4 a -> V4 b -> V4 c #

(*>) :: V4 a -> V4 b -> V4 b #

(<*) :: V4 a -> V4 b -> V4 a #

Instance details

Defined in Linear.V4

Methods

fmap :: (a -> b) -> V4 a -> V4 b #

(<$) :: a -> V4 b -> V4 a #

Instance details

Defined in Linear.V4

Methods

(>>=) :: V4 a -> (a -> V4 b) -> V4 b #

(>>) :: V4 a -> V4 b -> V4 b #

return :: a -> V4 a #

Instance details

Defined in Linear.V4

Methods

mfix :: (a -> V4 a) -> V4 a #

Instance details

Defined in Linear.V4

Methods

mzip :: V4 a -> V4 b -> V4 (a, b) #

mzipWith :: (a -> b -> c) -> V4 a -> V4 b -> V4 c #

munzip :: V4 (a, b) -> (V4 a, V4 b) #

Instance details

Defined in Linear.V4

Methods

fold :: Monoid m => V4 m -> m #

foldMap :: Monoid m => (a -> m) -> V4 a -> m #

foldMap' :: Monoid m => (a -> m) -> V4 a -> m #

foldr :: (a -> b -> b) -> b -> V4 a -> b #

foldr' :: (a -> b -> b) -> b -> V4 a -> b #

foldl :: (b -> a -> b) -> b -> V4 a -> b #

foldl' :: (b -> a -> b) -> b -> V4 a -> b #

foldr1 :: (a -> a -> a) -> V4 a -> a #

foldl1 :: (a -> a -> a) -> V4 a -> a #

toList :: V4 a -> [a] #

null :: V4 a -> Bool #

length :: V4 a -> Int #

elem :: Eq a => a -> V4 a -> Bool #

maximum :: Ord a => V4 a -> a #

minimum :: Ord a => V4 a -> a #

sum :: Num a => V4 a -> a #

product :: Num a => V4 a -> a #

Traversable V4 #

Instance details

Defined in Linear.V4

Methods

traverse :: Applicative f => (a -> f b) -> V4 a -> f (V4 b) #

sequenceA :: Applicative f => V4 (f a) -> f (V4 a) #

mapM :: Monad m => (a -> m b) -> V4 a -> m (V4 b) #

sequence :: Monad m => V4 (m a) -> m (V4 a) #

Instance details

Defined in Linear.V4

Methods

liftHashWithSalt :: (Int -> a -> Int) -> Int -> V4 a -> Int #

Instance details

Defined in Linear.Affine

Associated Types

type Diff V4
Instance details Defined in Linear.Affine type Diff V4 = V4

Methods

(.-.) :: Num a => V4 a -> V4 a -> Diff V4 a #

(.+^) :: Num a => V4 a -> Diff V4 a -> V4 a #

(.-^) :: Num a => V4 a -> Diff V4 a -> V4 a #

Instance details

Defined in Linear.V4

Methods

dot :: Num a => V4 a -> V4 a -> a #

quadrance :: Num a => V4 a -> a #

qd :: Num a => V4 a -> V4 a -> a #

distance :: Floating a => V4 a -> V4 a -> a #

norm :: Floating a => V4 a -> a #

signorm :: Floating a => V4 a -> V4 a #

Instance details

Defined in Linear.Trace

Methods

trace :: Num a => V4 (V4 a) -> a #

diagonal :: V4 (V4 a) -> V4 a #

Instance details

Defined in Linear.V4

Associated Types

type Size V4
Instance details Defined in Linear.V4 type Size V4 = 4

Methods

toV :: V4 a -> V (Size V4) a #

fromV :: V (Size V4) a -> V4 a #

Instance details

Defined in Linear.V4

Methods

_x :: Lens' (V4 a) a #

Instance details

Defined in Linear.V4

Methods

_y :: Lens' (V4 a) a #

_xy :: Lens' (V4 a) (V2 a) #

Instance details

Defined in Linear.V4

Methods

_z :: Lens' (V4 a) a #

_xyz :: Lens' (V4 a) (V3 a) #

Instance details

Defined in Linear.V4

Methods

_w :: Lens' (V4 a) a #

_xyzw :: Lens' (V4 a) (V4 a) #

Instance details

Defined in Linear.V4

Methods

zero :: Num a => V4 a #

(^+^) :: Num a => V4 a -> V4 a -> V4 a #

(^-^) :: Num a => V4 a -> V4 a -> V4 a #

lerp :: Num a => a -> V4 a -> V4 a -> V4 a #

liftU2 :: (a -> a -> a) -> V4 a -> V4 a -> V4 a #

liftI2 :: (a -> b -> c) -> V4 a -> V4 b -> V4 c #

Instance details

Defined in Linear.V4

Methods

(<.>) :: V4 (a -> b) -> V4 a -> V4 b #

(.>) :: V4 a -> V4 b -> V4 b #

(<.) :: V4 a -> V4 b -> V4 a #

liftF2 :: (a -> b -> c) -> V4 a -> V4 b -> V4 c #

Instance details

Defined in Linear.V4

Methods

(>>-) :: V4 a -> (a -> V4 b) -> V4 b #

join :: V4 (V4 a) -> V4 a #

Traversable1 V4 #

Instance details

Defined in Linear.V4

Methods

traverse1 :: Apply f => (a -> f b) -> V4 a -> f (V4 b) #

sequence1 :: Apply f => V4 (f b) -> f (V4 b) #

Instance details

Defined in Linear.V4

Associated Types

type Rep1 V4

Instance details

Defined in Linear.V4

type Rep1 V4 = D1 ('MetaData "V4" "Linear.V4" "linear-1.23.3-5f2e44cc50784b84eb2261548e6d9000492c6e45d89822c8ebe868ce778eb9a3" 'False) (C1 ('MetaCons "V4" 'PrefixI 'False) ((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'SourceStrict 'DecidedStrict) Par1 :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'SourceStrict 'DecidedStrict) Par1) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'SourceStrict 'DecidedStrict) Par1 :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'SourceStrict 'DecidedStrict) Par1)))

Methods

from1 :: V4 a -> Rep1 V4 a #

to1 :: Rep1 V4 a -> V4 a #

Lift a => Lift (V4 a :: Type) #

Instance details

Defined in Linear.V4

Methods

lift :: Quote m => V4 a -> m Exp #

liftTyped :: forall (m :: Type -> Type). Quote m => V4 a -> Code m (V4 a) #

Num r => Coalgebra r (E V4) #

Instance details

Defined in Linear.Algebra

Methods

comult :: (E V4 -> r) -> E V4 -> E V4 -> r #

counital :: (E V4 -> r) -> r #

Unbox a => Vector Vector (V4 a) #

Instance details

Defined in Linear.V4

Methods

basicUnsafeFreeze :: Mutable Vector s (V4 a) -> ST s (Vector (V4 a)) #

basicUnsafeThaw :: Vector (V4 a) -> ST s (Mutable Vector s (V4 a)) #

basicLength :: Vector (V4 a) -> Int #

basicUnsafeSlice :: Int -> Int -> Vector (V4 a) -> Vector (V4 a) #

basicUnsafeIndexM :: Vector (V4 a) -> Int -> Box (V4 a) #

basicUnsafeCopy :: Mutable Vector s (V4 a) -> Vector (V4 a) -> ST s () #

elemseq :: Vector (V4 a) -> V4 a -> b -> b #

Unbox a => MVector MVector (V4 a) #

Instance details

Defined in Linear.V4

Methods

basicLength :: MVector s (V4 a) -> Int #

basicUnsafeSlice :: Int -> Int -> MVector s (V4 a) -> MVector s (V4 a) #

basicOverlaps :: MVector s (V4 a) -> MVector s (V4 a) -> Bool #

basicUnsafeNew :: Int -> ST s (MVector s (V4 a)) #

basicInitialize :: MVector s (V4 a) -> ST s () #

basicUnsafeReplicate :: Int -> V4 a -> ST s (MVector s (V4 a)) #

basicUnsafeRead :: MVector s (V4 a) -> Int -> ST s (V4 a) #

basicUnsafeWrite :: MVector s (V4 a) -> Int -> V4 a -> ST s () #

basicClear :: MVector s (V4 a) -> ST s () #

basicSet :: MVector s (V4 a) -> V4 a -> ST s () #

basicUnsafeCopy :: MVector s (V4 a) -> MVector s (V4 a) -> ST s () #

basicUnsafeMove :: MVector s (V4 a) -> MVector s (V4 a) -> ST s () #

basicUnsafeGrow :: MVector s (V4 a) -> Int -> ST s (MVector s (V4 a)) #

Binary a => Binary (V4 a) #

Instance details

Defined in Linear.V4

Methods

put :: V4 a -> Put #

get :: Get (V4 a) #

putList :: [V4 a] -> Put #

Serial a => Serial (V4 a) #

Instance details

Defined in Linear.V4

Methods

serialize :: MonadPut m => V4 a -> m () #

deserialize :: MonadGet m => m (V4 a) #

Serialize a => Serialize (V4 a) #

Instance details

Defined in Linear.V4

Methods

put :: Putter (V4 a) #

get :: Get (V4 a) #

NFData a => NFData (V4 a) #

Instance details

Defined in Linear.V4

Methods

rnf :: V4 a -> () #

Monoid a => Monoid (V4 a) #

Instance details

Defined in Linear.V4

Methods

mempty :: V4 a #

mappend :: V4 a -> V4 a -> V4 a #

mconcat :: [V4 a] -> V4 a #

Semigroup a => Semigroup (V4 a) #

Instance details

Defined in Linear.V4

Methods

(<>) :: V4 a -> V4 a -> V4 a #

sconcat :: NonEmpty (V4 a) -> V4 a #

stimes :: Integral b => b -> V4 a -> V4 a #

Data a => Data (V4 a) #

Instance details

Defined in Linear.V4

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> V4 a -> c (V4 a) #

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (V4 a) #

toConstr :: V4 a -> Constr #

dataTypeOf :: V4 a -> DataType #

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (V4 a)) #

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (V4 a)) #

gmapT :: (forall b. Data b => b -> b) -> V4 a -> V4 a #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> V4 a -> r #

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> V4 a -> r #

gmapQ :: (forall d. Data d => d -> u) -> V4 a -> [u] #

gmapQi :: Int -> (forall d. Data d => d -> u) -> V4 a -> u #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> V4 a -> m (V4 a) #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> V4 a -> m (V4 a) #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> V4 a -> m (V4 a) #

Bounded a => Bounded (V4 a) #

Instance details

Defined in Linear.V4

Methods

minBound :: V4 a #

maxBound :: V4 a #

Floating a => Floating (V4 a) #

Instance details

Defined in Linear.V4

Methods

pi :: V4 a #

exp :: V4 a -> V4 a #

log :: V4 a -> V4 a #

sqrt :: V4 a -> V4 a #

(**) :: V4 a -> V4 a -> V4 a #

logBase :: V4 a -> V4 a -> V4 a #

sin :: V4 a -> V4 a #

cos :: V4 a -> V4 a #

tan :: V4 a -> V4 a #

asin :: V4 a -> V4 a #

acos :: V4 a -> V4 a #

atan :: V4 a -> V4 a #

sinh :: V4 a -> V4 a #

cosh :: V4 a -> V4 a #

tanh :: V4 a -> V4 a #

asinh :: V4 a -> V4 a #

acosh :: V4 a -> V4 a #

atanh :: V4 a -> V4 a #

log1p :: V4 a -> V4 a #

expm1 :: V4 a -> V4 a #

log1pexp :: V4 a -> V4 a #

log1mexp :: V4 a -> V4 a #

Storable a => Storable (V4 a) #

Instance details

Defined in Linear.V4

Methods

sizeOf :: V4 a -> Int #

alignment :: V4 a -> Int #

peekElemOff :: Ptr (V4 a) -> Int -> IO (V4 a) #

pokeElemOff :: Ptr (V4 a) -> Int -> V4 a -> IO () #

peekByteOff :: Ptr b -> Int -> IO (V4 a) #

pokeByteOff :: Ptr b -> Int -> V4 a -> IO () #

peek :: Ptr (V4 a) -> IO (V4 a) #

poke :: Ptr (V4 a) -> V4 a -> IO () #

Generic (V4 a) #

Instance details

Defined in Linear.V4

Associated Types

type Rep (V4 a)

Instance details

Defined in Linear.V4

type Rep (V4 a) = D1 ('MetaData "V4" "Linear.V4" "linear-1.23.3-5f2e44cc50784b84eb2261548e6d9000492c6e45d89822c8ebe868ce778eb9a3" 'False) (C1 ('MetaCons "V4" 'PrefixI 'False) ((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'SourceStrict 'DecidedStrict) (Rec0 a) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'SourceStrict 'DecidedStrict) (Rec0 a)) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'SourceStrict 'DecidedStrict) (Rec0 a) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'SourceStrict 'DecidedStrict) (Rec0 a))))

Methods

from :: V4 a -> Rep (V4 a) x #

to :: Rep (V4 a) x -> V4 a #

Ix a => Ix (V4 a) #

Instance details

Defined in Linear.V4

Methods

range :: (V4 a, V4 a) -> [V4 a] #

index :: (V4 a, V4 a) -> V4 a -> Int #

unsafeIndex :: (V4 a, V4 a) -> V4 a -> Int #

inRange :: (V4 a, V4 a) -> V4 a -> Bool #

rangeSize :: (V4 a, V4 a) -> Int #

unsafeRangeSize :: (V4 a, V4 a) -> Int #

Num a => Num (V4 a) #

Instance details

Defined in Linear.V4

Methods

(+) :: V4 a -> V4 a -> V4 a #

(-) :: V4 a -> V4 a -> V4 a #

(*) :: V4 a -> V4 a -> V4 a #

negate :: V4 a -> V4 a #

abs :: V4 a -> V4 a #

signum :: V4 a -> V4 a #

fromInteger :: Integer -> V4 a #

Read a => Read (V4 a) #

Instance details

Defined in Linear.V4

Methods

readsPrec :: Int -> ReadS (V4 a) #

readList :: ReadS [V4 a] #

readPrec :: ReadPrec (V4 a) #

readListPrec :: ReadPrec [V4 a] #

Fractional a => Fractional (V4 a) #

Instance details

Defined in Linear.V4

Methods

(/) :: V4 a -> V4 a -> V4 a #

recip :: V4 a -> V4 a #

fromRational :: Rational -> V4 a #

Show a => Show (V4 a) #

Instance details

Defined in Linear.V4

Methods

showsPrec :: Int -> V4 a -> ShowS #

show :: V4 a -> String #

showList :: [V4 a] -> ShowS #

Eq a => Eq (V4 a) #

Instance details

Defined in Linear.V4

Methods

(==) :: V4 a -> V4 a -> Bool #

(/=) :: V4 a -> V4 a -> Bool #

Ord a => Ord (V4 a) #

Instance details

Defined in Linear.V4

Methods

compare :: V4 a -> V4 a -> Ordering #

(<) :: V4 a -> V4 a -> Bool #

(<=) :: V4 a -> V4 a -> Bool #

(>) :: V4 a -> V4 a -> Bool #

(>=) :: V4 a -> V4 a -> Bool #

max :: V4 a -> V4 a -> V4 a #

min :: V4 a -> V4 a -> V4 a #

Hashable a => Hashable (V4 a) #

Instance details

Defined in Linear.V4

Methods

hashWithSalt :: Int -> V4 a -> Int #

hash :: V4 a -> Int #

Ixed (V4 a) #

Instance details

Defined in Linear.V4

Methods

ix :: Index (V4 a) -> Traversal' (V4 a) (IxValue (V4 a)) #

Epsilon a => Epsilon (V4 a) #

Instance details

Defined in Linear.V4

Methods

nearZero :: V4 a -> Bool #

Random a => Random (V4 a) #

Instance details

Defined in Linear.V4

Methods

randomR :: RandomGen g => (V4 a, V4 a) -> g -> (V4 a, g) #

random :: RandomGen g => g -> (V4 a, g) #

randomRs :: RandomGen g => (V4 a, V4 a) -> g -> [V4 a] #

randoms :: RandomGen g => g -> [V4 a] #

Uniform a => Uniform (V4 a) #

Instance details

Defined in Linear.V4

Methods

uniformM :: StatefulGen g m => g -> m (V4 a) #

UniformRange a => UniformRange (V4 a) #

Instance details

Defined in Linear.V4

Methods

uniformRM :: StatefulGen g m => (V4 a, V4 a) -> g -> m (V4 a) #

isInRange :: (V4 a, V4 a) -> V4 a -> Bool #

Unbox a => Unbox (V4 a) #

Instance details

Defined in Linear.V4

FoldableWithIndex (E V4) V4 #

Instance details

Defined in Linear.V4

Methods

ifoldMap :: Monoid m => (E V4 -> a -> m) -> V4 a -> m #

ifoldMap' :: Monoid m => (E V4 -> a -> m) -> V4 a -> m #

ifoldr :: (E V4 -> a -> b -> b) -> b -> V4 a -> b #

ifoldl :: (E V4 -> b -> a -> b) -> b -> V4 a -> b #

ifoldr' :: (E V4 -> a -> b -> b) -> b -> V4 a -> b #

ifoldl' :: (E V4 -> b -> a -> b) -> b -> V4 a -> b #

FunctorWithIndex (E V4) V4 #

Instance details

Defined in Linear.V4

Methods

imap :: (E V4 -> a -> b) -> V4 a -> V4 b #

TraversableWithIndex (E V4) V4 #

Instance details

Defined in Linear.V4

Methods

itraverse :: Applicative f => (E V4 -> a -> f b) -> V4 a -> f (V4 b) #

Each (V4 a) (V4 b) a b #

Instance details

Defined in Linear.V4

Methods

each :: Traversal (V4 a) (V4 b) a b #

Field1 (V4 a) (V4 a) a a #

Instance details

Defined in Linear.V4

Methods

_1 :: Lens (V4 a) (V4 a) a a #

Field2 (V4 a) (V4 a) a a #

Instance details

Defined in Linear.V4

Methods

_2 :: Lens (V4 a) (V4 a) a a #

Field3 (V4 a) (V4 a) a a #

Instance details

Defined in Linear.V4

Methods

_3 :: Lens (V4 a) (V4 a) a a #

Field4 (V4 a) (V4 a) a a #

Instance details

Defined in Linear.V4

Methods

_4 :: Lens (V4 a) (V4 a) a a #

type Rep V4 #

Instance details

Defined in Linear.V4

type Rep V4 = E V4

type Diff V4 #

Instance details

Defined in Linear.Affine

type Diff V4 = V4

type Size V4 #

Instance details

Defined in Linear.V4

type Size V4 = 4

type Rep1 V4 #

Instance details

Defined in Linear.V4

type Rep1 V4 = D1 ('MetaData "V4" "Linear.V4" "linear-1.23.3-5f2e44cc50784b84eb2261548e6d9000492c6e45d89822c8ebe868ce778eb9a3" 'False) (C1 ('MetaCons "V4" 'PrefixI 'False) ((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'SourceStrict 'DecidedStrict) Par1 :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'SourceStrict 'DecidedStrict) Par1) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'SourceStrict 'DecidedStrict) Par1 :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'SourceStrict 'DecidedStrict) Par1)))

data MVector s (V4 a) #

Instance details

Defined in Linear.V4

data MVector s (V4 a) = MV_V4 !Int !(MVector s a)

type Rep (V4 a) #

Instance details

Defined in Linear.V4

type Rep (V4 a) = D1 ('MetaData "V4" "Linear.V4" "linear-1.23.3-5f2e44cc50784b84eb2261548e6d9000492c6e45d89822c8ebe868ce778eb9a3" 'False) (C1 ('MetaCons "V4" 'PrefixI 'False) ((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'SourceStrict 'DecidedStrict) (Rec0 a) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'SourceStrict 'DecidedStrict) (Rec0 a)) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'SourceStrict 'DecidedStrict) (Rec0 a) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'SourceStrict 'DecidedStrict) (Rec0 a))))

type Index (V4 a) #

Instance details

Defined in Linear.V4

type Index (V4 a) = E V4

type IxValue (V4 a) #

Instance details

Defined in Linear.V4

type IxValue (V4 a) = a

data Vector (V4 a) #

Instance details

Defined in Linear.V4

data Vector (V4 a) = V_V4 !Int !(Vector a)

ext2 :: a -> V2 a -> V3 a Source #

trunc3 :: V3 a -> V2 a Source #

newtype Dir3 a Source #

Constructors

Instances

Instances details

HasField "vec" (Dir3 a :: Type) (V3 a :: Type) Source #
Instance details Defined in Mischief.Math.Vec Methods getField :: Dir3 a -> V3 a #
(Floating a, Epsilon a) => Num (Dir3 a) Source #
Instance details Defined in Mischief.Math.Vec Methods (+) :: Dir3 a -> Dir3 a -> Dir3 a # (-) :: Dir3 a -> Dir3 a -> Dir3 a # (*) :: Dir3 a -> Dir3 a -> Dir3 a # negate :: Dir3 a -> Dir3 a # abs :: Dir3 a -> Dir3 a # signum :: Dir3 a -> Dir3 a # fromInteger :: Integer -> Dir3 a #
Show a => Show (Dir3 a) Source #
Instance details Defined in Mischief.Math.Vec Methods showsPrec :: Int -> Dir3 a -> ShowS # show :: Dir3 a -> String # showList :: [Dir3 a] -> ShowS #
Eq a => Eq (Dir3 a) Source #
Instance details Defined in Mischief.Math.Vec Methods (==) :: Dir3 a -> Dir3 a -> Bool # (/=) :: Dir3 a -> Dir3 a -> Bool #
Ord a => Ord (Dir3 a) Source #
Instance details Defined in Mischief.Math.Vec Methods compare :: Dir3 a -> Dir3 a -> Ordering # (<) :: Dir3 a -> Dir3 a -> Bool # (<=) :: Dir3 a -> Dir3 a -> Bool # (>) :: Dir3 a -> Dir3 a -> Bool # (>=) :: Dir3 a -> Dir3 a -> Bool # max :: Dir3 a -> Dir3 a -> Dir3 a # min :: Dir3 a -> Dir3 a -> Dir3 a #

dir3 :: (Floating a, Epsilon a) => a -> a -> a -> Dir3 a Source #