diagrams-core-1.5.1.1: Core libraries for diagrams EDSL

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

newtype Query (v :: Type -> Type) n m = Query {
- runQuery :: Point v n -> m
}

Documentation

newtype Query (v :: Type -> Type) n m Source #

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

Instances details

Action Name (Query v n m)

Instance details

Defined in Diagrams.Core.Types

Methods

act :: Name -> Query v n m -> Query v n m

Functor v => Closed (Query v) Source #

Instance details

Defined in Diagrams.Core.Query

Methods

closed :: Query v a b -> Query v (x -> a) (x -> b)

Functor v => Corepresentable (Query v) Source #

Instance details

Defined in Diagrams.Core.Query

Associated Types

type Corep (Query v)
Instance details Defined in Diagrams.Core.Query type Corep (Query v) = Point v

Methods

cotabulate :: (Corep (Query v) d -> c) -> Query v d c

Functor v => Costrong (Query v) Source #

Instance details

Defined in Diagrams.Core.Query

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 => Profunctor (Query v) Source #

Instance details

Defined in Diagrams.Core.Query

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 #

(#.) :: forall a b c q. Coercible c b => q b c -> Query v a b -> Query v a c

(.#) :: forall a b c q. Coercible b a => Query v b c -> q a b -> Query v a c

Functor v => Cosieve (Query v) (Point v) Source #

Instance details

Defined in Diagrams.Core.Query

Methods

cosieve :: Query v a b -> Point v a -> b

Representable (Query v n) Source #

Instance details

Defined in Diagrams.Core.Query

Associated Types

type Rep (Query v n)
Instance details Defined in Diagrams.Core.Query type Rep (Query v n) = Point v n

Methods

tabulate :: (Rep (Query v n) -> a) -> Query v n a

index :: Query v n a -> Rep (Query v n) -> a

Distributive (Query v n) Source #

Instance details

Defined in Diagrams.Core.Query

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)

Applicative (Query v n) Source #

Instance details

Defined in Diagrams.Core.Query

Methods

pure :: a -> Query v n a Source #

(<*>) :: Query v n (a -> b) -> Query v n a -> Query v n b Source #

liftA2 :: (a -> b -> c) -> Query v n a -> Query v n b -> Query v n c Source #

(*>) :: Query v n a -> Query v n b -> Query v n b Source #

(<*) :: Query v n a -> Query v n b -> Query v n a Source #

Functor (Query v n) Source #

Instance details

Defined in Diagrams.Core.Query

Methods

fmap :: (a -> b) -> Query v n a -> Query v n b Source #

(<$) :: a -> Query v n b -> Query v n a Source #

Monad (Query v n) Source #

Instance details

Defined in Diagrams.Core.Query

Methods

(>>=) :: Query v n a -> (a -> Query v n b) -> Query v n b Source #

(>>) :: Query v n a -> Query v n b -> Query v n b Source #

return :: a -> Query v n a Source #

(Additive v, Num n) => HasOrigin (Query v n m) Source #

Instance details

Defined in Diagrams.Core.Query

Methods

moveOriginTo :: Point (V (Query v n m)) (N (Query v n m)) -> Query v n m -> Query v n m Source #

(Additive v, Num n) => Transformable (Query v n m) Source #

Instance details

Defined in Diagrams.Core.Query

Methods

transform :: Transformation (V (Query v n m)) (N (Query v n m)) -> Query v n m -> Query v n m Source #

Monoid m => Monoid (Query v n m) Source #

Instance details

Defined in Diagrams.Core.Query

Methods

mempty :: Query v n m Source #

mappend :: Query v n m -> Query v n m -> Query v n m Source #

mconcat :: [Query v n m] -> Query v n m Source #

Semigroup m => Semigroup (Query v n m) Source #

Instance details

Defined in Diagrams.Core.Query

Methods

(<>) :: Query v n m -> Query v n m -> Query v n m Source #

sconcat :: NonEmpty (Query v n m) -> Query v n m Source #

stimes :: Integral b => b -> Query v n m -> Query v n m Source #

Wrapped (Query v n m) Source #

Instance details

Defined in Diagrams.Core.Query

Associated Types

type Unwrapped (Query v n m)
Instance details Defined in Diagrams.Core.Query type Unwrapped (Query v n m) = Point v n -> m

Methods

_Wrapped' :: Iso' (Query v n m) (Unwrapped (Query v n m)) Source #

Rewrapped (Query v a m) (Query v' a' m') Source #

Instance details

Defined in Diagrams.Core.Query

type Corep (Query v) Source #

Instance details

Defined in Diagrams.Core.Query

type Corep (Query v) = Point v

type Rep (Query v n) Source #

Instance details

Defined in Diagrams.Core.Query

type Rep (Query v n) = Point v n

type N (Query v n m) Source #

Instance details

Defined in Diagrams.Core.Query

type N (Query v n m) = n

type V (Query v n m) Source #

Instance details

Defined in Diagrams.Core.Query

type V (Query v n m) = v

type Unwrapped (Query v n m) Source #

Instance details

Defined in Diagrams.Core.Query

type Unwrapped (Query v n m) = Point v n -> m