Copyright	(c) 2013 diagrams-lib team (see LICENSE)
License	BSD-style (see LICENSE)
Maintainer	diagrams-discuss@googlegroups.com
Safe Haskell	None
Language	Haskell2010

Diagrams.Query

Contents

Queries
- Queries on diagrams

Description

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.

Synopsis

Queries

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 #
(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 #
(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 #
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)) #
HasQuery (Query v n m) m Source #
Methods getQuery :: Query v n m -> Query (V (Query v n m)) (N (Query v n m)) m Source #
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 V (Query v n m)
type V (Query v n m) = v
type N (Query v n m)
type N (Query v n m) = n
type Unwrapped (Query v n m)
type Unwrapped (Query v n m) = Point v n -> m

class HasQuery t m | t -> m where Source #

Types which can answer a Query about points inside the geometric object.

If t and m are both a Semigroups, getQuery should satisfy

getQuery (t1 <> t2) = getQuery t1 <> getQuery t2

Minimal complete definition

getQuery

Methods

getQuery :: t -> Query (V t) (N t) m Source #

Extract the query of an object.

Instances

(Floating n, Ord n) => HasQuery (CSG n) Any Source #
Methods getQuery :: CSG n -> Query (V (CSG n)) (N (CSG n)) Any Source #
OrderedField n => HasQuery (Frustum n) Any Source #
Methods getQuery :: Frustum n -> Query (V (Frustum n)) (N (Frustum n)) Any Source #
(Num n, Ord n) => HasQuery (Box n) Any Source #
Methods getQuery :: Box n -> Query (V (Box n)) (N (Box n)) Any Source #
(Num n, Ord n) => HasQuery (Ellipsoid n) Any Source #
Methods getQuery :: Ellipsoid n -> Query (V (Ellipsoid n)) (N (Ellipsoid n)) Any Source #
RealFloat n => HasQuery (Clip n) All Source #	A point inside a clip if the point is in `All` invididual clipping paths.
Methods getQuery :: Clip n -> Query (V (Clip n)) (N (Clip n)) All Source #
(Additive v, Foldable v, Ord n) => HasQuery (BoundingBox v n) Any Source #
Methods getQuery :: BoundingBox v n -> Query (V (BoundingBox v n)) (N (BoundingBox v n)) Any Source #
RealFloat n => HasQuery (DImage n a) Any Source #
Methods getQuery :: DImage n a -> Query (V (DImage n a)) (N (DImage n a)) Any Source #
HasQuery (Query v n m) m Source #
Methods getQuery :: Query v n m -> Query (V (Query v n m)) (N (Query v n m)) m Source #
Monoid m => HasQuery (QDiagram b v n m) m Source #
Methods getQuery :: QDiagram b v n m -> Query (V (QDiagram b v n m)) (N (QDiagram b v n m)) m Source #

sample :: HasQuery t m => t -> Point (V t) (N t) -> m Source #

Sample a diagram's query function at a given point.

sample :: QDiagram b v n m -> Point v n -> m
sample :: Query v n m      -> Point v n -> m
sample :: BoundingBox v n  -> Point v n -> Any
sample :: Path V2 Double   -> Point v n -> Crossings

inquire :: HasQuery t Any => t -> Point (V t) (N t) -> Bool Source #

Test if a point is not equal to mempty.

inquire :: QDiagram b v n Any -> Point v n -> Bool
inquire :: Query v n Any      -> Point v n -> Bool
inquire :: BoundingBox v n  -> Point v n -> Bool

Queries on diagrams

query :: Monoid m => QDiagram b v n m -> Query v n m #

Get the query function associated with a diagram.

value :: Monoid m => m -> QDiagram b v n Any -> QDiagram b v n m Source #

Set the query value for True points in a diagram (i.e. points "inquire" the diagram); False points will be set to mempty.

resetValue :: (Eq m, Monoid m) => QDiagram b v n m -> QDiagram b v n Any Source #

Reset the query values of a diagram to True/False: any values equal to mempty are set to False; any other values are set to True.

clearValue :: QDiagram b v n m -> QDiagram b v n Any Source #

Set all the query values of a diagram to False.