Diagrams.Query

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.

Documentation

newtype Query v 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 -> m

Instances

Action Name (Query v m)

Functor (Query v)

Applicative (Query v)

Semigroup m => Semigroup (Query v m)

Monoid m => Monoid (Query v m)

HasLinearMap v => Transformable (Query v m)

VectorSpace v => HasOrigin (Query v m)

Wrapped (Query v m)

Rewrapped (Query v m) (Query v' m')

type V (Query v m) = v

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

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

Get the query function associated with a diagram.

sample :: Monoid m => QDiagram b v m -> Point v -> m

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

value :: Monoid m => m -> QDiagram b v Any -> QDiagram b v m

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

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

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 m -> QDiagram b v Any

Set all the query values of a diagram to False.