nonlinear-0.1.0: Low-dimensional vectors
Safe HaskellNone
LanguageHaskell2010

Nonlinear.V1

Description

Adapted from Linear.V1

Documentation

newtype V1 a Source #

Constructors

V1 

Fields

Instances

Instances details
Monad V1 Source # 
Instance details

Defined in Nonlinear.V1

Methods

(>>=) :: V1 a -> (a -> V1 b) -> V1 b #

(>>) :: V1 a -> V1 b -> V1 b #

return :: a -> V1 a #

Functor V1 Source # 
Instance details

Defined in Nonlinear.V1

Methods

fmap :: (a -> b) -> V1 a -> V1 b #

(<$) :: a -> V1 b -> V1 a #

Applicative V1 Source # 
Instance details

Defined in Nonlinear.V1

Methods

pure :: a -> V1 a #

(<*>) :: V1 (a -> b) -> V1 a -> V1 b #

liftA2 :: (a -> b -> c) -> V1 a -> V1 b -> V1 c #

(*>) :: V1 a -> V1 b -> V1 b #

(<*) :: V1 a -> V1 b -> V1 a #

Foldable V1 Source # 
Instance details

Defined in Nonlinear.V1

Methods

fold :: Monoid m => V1 m -> m #

foldMap :: Monoid m => (a -> m) -> V1 a -> m #

foldMap' :: Monoid m => (a -> m) -> V1 a -> m #

foldr :: (a -> b -> b) -> b -> V1 a -> b #

foldr' :: (a -> b -> b) -> b -> V1 a -> b #

foldl :: (b -> a -> b) -> b -> V1 a -> b #

foldl' :: (b -> a -> b) -> b -> V1 a -> b #

foldr1 :: (a -> a -> a) -> V1 a -> a #

foldl1 :: (a -> a -> a) -> V1 a -> a #

toList :: V1 a -> [a] #

null :: V1 a -> Bool #

length :: V1 a -> Int #

elem :: Eq a => a -> V1 a -> Bool #

maximum :: Ord a => V1 a -> a #

minimum :: Ord a => V1 a -> a #

sum :: Num a => V1 a -> a #

product :: Num a => V1 a -> a #

Traversable V1 Source # 
Instance details

Defined in Nonlinear.V1

Methods

traverse :: Applicative f => (a -> f b) -> V1 a -> f (V1 b) #

sequenceA :: Applicative f => V1 (f a) -> f (V1 a) #

mapM :: Monad m => (a -> m b) -> V1 a -> m (V1 b) #

sequence :: Monad m => V1 (m a) -> m (V1 a) #

Eq1 V1 Source # 
Instance details

Defined in Nonlinear.V1

Methods

liftEq :: (a -> b -> Bool) -> V1 a -> V1 b -> Bool #

Ord1 V1 Source # 
Instance details

Defined in Nonlinear.V1

Methods

liftCompare :: (a -> b -> Ordering) -> V1 a -> V1 b -> Ordering #

Read1 V1 Source # 
Instance details

Defined in Nonlinear.V1

Methods

liftReadsPrec :: (Int -> ReadS a) -> ReadS [a] -> Int -> ReadS (V1 a) #

liftReadList :: (Int -> ReadS a) -> ReadS [a] -> ReadS [V1 a] #

liftReadPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec (V1 a) #

liftReadListPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec [V1 a] #

Show1 V1 Source # 
Instance details

Defined in Nonlinear.V1

Methods

liftShowsPrec :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> V1 a -> ShowS #

liftShowList :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> [V1 a] -> ShowS #

Vec V1 Source # 
Instance details

Defined in Nonlinear.V1

Methods

construct :: ((forall b. Lens' (V1 b) b) -> a) -> V1 a Source #

R1 V1 Source # 
Instance details

Defined in Nonlinear.V1

Methods

_x :: Lens' (V1 a) a Source #

Bounded a => Bounded (V1 a) Source # 
Instance details

Defined in Nonlinear.V1

Methods

minBound :: V1 a #

maxBound :: V1 a #

Eq a => Eq (V1 a) Source # 
Instance details

Defined in Nonlinear.V1

Methods

(==) :: V1 a -> V1 a -> Bool #

(/=) :: V1 a -> V1 a -> Bool #

Floating a => Floating (V1 a) Source # 
Instance details

Defined in Nonlinear.V1

Methods

pi :: V1 a #

exp :: V1 a -> V1 a #

log :: V1 a -> V1 a #

sqrt :: V1 a -> V1 a #

(**) :: V1 a -> V1 a -> V1 a #

logBase :: V1 a -> V1 a -> V1 a #

sin :: V1 a -> V1 a #

cos :: V1 a -> V1 a #

tan :: V1 a -> V1 a #

asin :: V1 a -> V1 a #

acos :: V1 a -> V1 a #

atan :: V1 a -> V1 a #

sinh :: V1 a -> V1 a #

cosh :: V1 a -> V1 a #

tanh :: V1 a -> V1 a #

asinh :: V1 a -> V1 a #

acosh :: V1 a -> V1 a #

atanh :: V1 a -> V1 a #

log1p :: V1 a -> V1 a #

expm1 :: V1 a -> V1 a #

log1pexp :: V1 a -> V1 a #

log1mexp :: V1 a -> V1 a #

Fractional a => Fractional (V1 a) Source # 
Instance details

Defined in Nonlinear.V1

Methods

(/) :: V1 a -> V1 a -> V1 a #

recip :: V1 a -> V1 a #

fromRational :: Rational -> V1 a #

Data a => Data (V1 a) Source # 
Instance details

Defined in Nonlinear.V1

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> V1 a -> c (V1 a) #

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (V1 a) #

toConstr :: V1 a -> Constr #

dataTypeOf :: V1 a -> DataType #

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (V1 a)) #

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (V1 a)) #

gmapT :: (forall b. Data b => b -> b) -> V1 a -> V1 a #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> V1 a -> r #

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> V1 a -> r #

gmapQ :: (forall d. Data d => d -> u) -> V1 a -> [u] #

gmapQi :: Int -> (forall d. Data d => d -> u) -> V1 a -> u #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> V1 a -> m (V1 a) #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> V1 a -> m (V1 a) #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> V1 a -> m (V1 a) #

Num a => Num (V1 a) Source # 
Instance details

Defined in Nonlinear.V1

Methods

(+) :: V1 a -> V1 a -> V1 a #

(-) :: V1 a -> V1 a -> V1 a #

(*) :: V1 a -> V1 a -> V1 a #

negate :: V1 a -> V1 a #

abs :: V1 a -> V1 a #

signum :: V1 a -> V1 a #

fromInteger :: Integer -> V1 a #

Ord a => Ord (V1 a) Source # 
Instance details

Defined in Nonlinear.V1

Methods

compare :: V1 a -> V1 a -> Ordering #

(<) :: V1 a -> V1 a -> Bool #

(<=) :: V1 a -> V1 a -> Bool #

(>) :: V1 a -> V1 a -> Bool #

(>=) :: V1 a -> V1 a -> Bool #

max :: V1 a -> V1 a -> V1 a #

min :: V1 a -> V1 a -> V1 a #

Read a => Read (V1 a) Source # 
Instance details

Defined in Nonlinear.V1

Show a => Show (V1 a) Source # 
Instance details

Defined in Nonlinear.V1

Methods

showsPrec :: Int -> V1 a -> ShowS #

show :: V1 a -> String #

showList :: [V1 a] -> ShowS #

Ix a => Ix (V1 a) Source # 
Instance details

Defined in Nonlinear.V1

Methods

range :: (V1 a, V1 a) -> [V1 a] #

index :: (V1 a, V1 a) -> V1 a -> Int #

unsafeIndex :: (V1 a, V1 a) -> V1 a -> Int #

inRange :: (V1 a, V1 a) -> V1 a -> Bool #

rangeSize :: (V1 a, V1 a) -> Int #

unsafeRangeSize :: (V1 a, V1 a) -> Int #

Generic (V1 a) Source # 
Instance details

Defined in Nonlinear.V1

Associated Types

type Rep (V1 a) :: Type -> Type #

Methods

from :: V1 a -> Rep (V1 a) x #

to :: Rep (V1 a) x -> V1 a #

Semigroup a => Semigroup (V1 a) Source # 
Instance details

Defined in Nonlinear.V1

Methods

(<>) :: V1 a -> V1 a -> V1 a #

sconcat :: NonEmpty (V1 a) -> V1 a #

stimes :: Integral b => b -> V1 a -> V1 a #

Monoid a => Monoid (V1 a) Source # 
Instance details

Defined in Nonlinear.V1

Methods

mempty :: V1 a #

mappend :: V1 a -> V1 a -> V1 a #

mconcat :: [V1 a] -> V1 a #

Storable a => Storable (V1 a) Source # 
Instance details

Defined in Nonlinear.V1

Methods

sizeOf :: V1 a -> Int #

alignment :: V1 a -> Int #

peekElemOff :: Ptr (V1 a) -> Int -> IO (V1 a) #

pokeElemOff :: Ptr (V1 a) -> Int -> V1 a -> IO () #

peekByteOff :: Ptr b -> Int -> IO (V1 a) #

pokeByteOff :: Ptr b -> Int -> V1 a -> IO () #

peek :: Ptr (V1 a) -> IO (V1 a) #

poke :: Ptr (V1 a) -> V1 a -> IO () #

Generic1 V1 Source # 
Instance details

Defined in Nonlinear.V1

Associated Types

type Rep1 V1 :: k -> Type #

Methods

from1 :: forall (a :: k). V1 a -> Rep1 V1 a #

to1 :: forall (a :: k). Rep1 V1 a -> V1 a #

type Rep (V1 a) Source # 
Instance details

Defined in Nonlinear.V1

type Rep (V1 a) = D1 ('MetaData "V1" "Nonlinear.V1" "nonlinear-0.1.0-dd7wbAvLl3JZC37BHOks3" 'True) (C1 ('MetaCons "V1" 'PrefixI 'True) (S1 ('MetaSel ('Just "v1x") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a)))
type Rep1 V1 Source # 
Instance details

Defined in Nonlinear.V1

type Rep1 V1 = D1 ('MetaData "V1" "Nonlinear.V1" "nonlinear-0.1.0-dd7wbAvLl3JZC37BHOks3" 'True) (C1 ('MetaCons "V1" 'PrefixI 'True) (S1 ('MetaSel ('Just "v1x") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))

class R1 t where Source #

Methods

_x :: Lens' (t a) a Source #

Instances

Instances details
R1 V1 Source # 
Instance details

Defined in Nonlinear.V1

Methods

_x :: Lens' (V1 a) a Source #

R1 V2 Source # 
Instance details

Defined in Nonlinear.V2

Methods

_x :: Lens' (V2 a) a Source #

R1 V3 Source # 
Instance details

Defined in Nonlinear.V3

Methods

_x :: Lens' (V3 a) a Source #

R1 V4 Source # 
Instance details

Defined in Nonlinear.V4

Methods

_x :: Lens' (V4 a) a Source #

R1 Quaternion Source # 
Instance details

Defined in Nonlinear.Quaternion

Methods

_x :: Lens' (Quaternion a) a Source #