Copyright	(c) 2011-2015 diagrams-core team (see LICENSE)
License	BSD-style (see LICENSE)
Maintainer	diagrams-discuss@googlegroups.com
Safe Haskell	None
Language	Haskell2010

Diagrams.Core.Query

Description

The Query module defines a type for "queries" on diagrams, which are functions from points in a vector space to some monoid.

Synopsis

Documentation

newtype Query v n m #

A query is a function that maps points in a vector space to values in some monoid. Queries naturally form a monoid, with two queries being combined pointwise.

The idea for annotating diagrams with monoidal queries came from the graphics-drawingcombinators package, http://hackage.haskell.org/package/graphics-drawingcombinators.

Constructors

Query
Fields runQuery :: Point v n -> m

Instances

Functor v => Corepresentable (Query v) #
Associated Types type Corep (Query v :: * -> * -> ) :: -> * # Methods cotabulate :: (Corep (Query v) d -> c) -> Query v d c #
Functor v => Profunctor (Query v) #
Methods dimap :: (a -> b) -> (c -> d) -> Query v b c -> Query v a d # lmap :: (a -> b) -> Query v b c -> Query v a c # rmap :: (b -> c) -> Query v a b -> Query v a c # (#.) :: Coercible * c b => (b -> c) -> Query v a b -> Query v a c # (.#) :: Coercible * b a => Query v b c -> (a -> b) -> Query v a c #
Functor v => Closed (Query v) #
Methods closed :: Query v a b -> Query v (x -> a) (x -> b) #
Functor v => Costrong (Query v) #
Methods unfirst :: Query v (a, d) (b, d) -> Query v a b # unsecond :: Query v (d, a) (d, b) -> Query v a b #
Functor v => Cosieve (Query v) (Point v) #
Methods cosieve :: Query v a b -> Point v a -> b #
Monad (Query v n) #
Methods (>>=) :: Query v n a -> (a -> Query v n b) -> Query v n b # (>>) :: Query v n a -> Query v n b -> Query v n b # return :: a -> Query v n a # fail :: String -> Query v n a #
Functor (Query v n) #
Methods fmap :: (a -> b) -> Query v n a -> Query v n b # (<$) :: a -> Query v n b -> Query v n a #
Applicative (Query v n) #
Methods pure :: a -> Query v n a # (<>) :: Query v n (a -> b) -> Query v n a -> Query v n b # (>) :: Query v n a -> Query v n b -> Query v n b # (<*) :: Query v n a -> Query v n b -> Query v n a #
Distributive (Query v n) #
Methods distribute :: Functor f => f (Query v n a) -> Query v n (f a) # collect :: Functor f => (a -> Query v n b) -> f a -> Query v n (f b) # distributeM :: Monad m => m (Query v n a) -> Query v n (m a) # collectM :: Monad m => (a -> Query v n b) -> m a -> Query v n (m b) #
Representable (Query v n) #
Associated Types type Rep (Query v n :: * -> ) :: # Methods tabulate :: (Rep (Query v n) -> a) -> Query v n a # index :: Query v n a -> Rep (Query v n) -> a #
Semigroup m => Semigroup (Query v n m) #
Methods (<>) :: Query v n m -> Query v n m -> Query v n m # sconcat :: NonEmpty (Query v n m) -> Query v n m # stimes :: Integral b => b -> Query v n m -> Query v n m #
Monoid m => Monoid (Query v n m) #
Methods mempty :: Query v n m # mappend :: Query v n m -> Query v n m -> Query v n m # mconcat :: [Query v n m] -> Query v n m #
Wrapped (Query v n m) #
Associated Types type Unwrapped (Query v n m) :: * # Methods _Wrapped' :: Iso' (Query v n m) (Unwrapped (Query v n m)) #
(Additive v, Num n) => HasOrigin (Query v n m) #
Methods moveOriginTo :: Point (V (Query v n m)) (N (Query v n m)) -> Query v n m -> Query v n m #
(Additive v, Num n) => Transformable (Query v n m) #
Methods transform :: Transformation (V (Query v n m)) (N (Query v n m)) -> Query v n m -> Query v n m #
Rewrapped (Query v a m) (Query v' a' m') #

type Corep (Query v) #
type Corep (Query v) = Point v
type Rep (Query v n) #
type Rep (Query v n) = Point v n
type Unwrapped (Query v n m) #
type Unwrapped (Query v n m) = Point v n -> m
type N (Query v n m) #
type N (Query v n m) = n
type V (Query v n m) #
type V (Query v n m) = v