diagrams-lib-1.3: Embedded domain-specific language for declarative graphics

Diagrams.Tangent

Contents

Description

Computing tangent and normal vectors for segments and trails.

Synopsis

## Tangents

tangentAtParam :: Parametric (Tangent t) => t -> N t -> Vn t Source

Compute the tangent vector to a segment or trail at a particular parameter.

Examples of more specific types this function can have include

• `Segment Closed V2 -> Double -> V2 Double`
• `Trail' Line V2 -> Double -> V2 Double`
• `Located (Trail V2) -> Double -> V2 Double`

See the instances listed for the `Tangent` newtype for more.

tangentAtStart :: EndValues (Tangent t) => t -> Vn t Source

Compute the tangent vector at the start of a segment or trail.

tangentAtEnd :: EndValues (Tangent t) => t -> Vn t Source

Compute the tangent vector at the end of a segment or trail.

## Normals

normalAtParam :: (InSpace V2 n t, Parametric (Tangent t), Floating n) => t -> n -> V2 n Source

Compute the (unit) normal vector to a segment or trail at a particular parameter.

Examples of more specific types this function can have include

• `Segment Closed V2 Double -> Double -> V2 Double`
• `Trail' Line V2 Double -> Double -> V2 Double`
• `Located (Trail V2 Double) -> Double -> V2 Double`

See the instances listed for the `Tangent` newtype for more.

normalAtStart :: (InSpace V2 n t, EndValues (Tangent t), Floating n) => t -> V2 n Source

Compute the normal vector at the start of a segment or trail.

normalAtEnd :: (InSpace V2 n t, EndValues (Tangent t), Floating n) => t -> V2 n Source

Compute the normal vector at the end of a segment or trail.

## Tangent newtype

newtype Tangent t Source

A newtype wrapper used to give different instances of `Parametric` and `EndValues` that compute tangent vectors.

Constructors

 Tangent t

Instances

 (DomainBounds t, EndValues (Tangent t)) => EndValues (Tangent (Located t)) (Additive v, Num n) => EndValues (Tangent (FixedSegment v n)) (Additive v, Num n) => EndValues (Tangent (Segment Closed v n)) (Metric v, OrderedField n, Real n) => EndValues (Tangent (Trail v n)) (Parametric (GetSegment (Trail' c v n)), EndValues (GetSegment (Trail' c v n)), Additive v, Num n) => EndValues (Tangent (Trail' c v n)) DomainBounds t => DomainBounds (Tangent t) Parametric (Tangent t) => Parametric (Tangent (Located t)) (Additive v, Num n) => Parametric (Tangent (FixedSegment v n)) (Additive v, Num n) => Parametric (Tangent (Segment Closed v n)) (Metric v, OrderedField n, Real n) => Parametric (Tangent (Trail v n)) (Parametric (GetSegment (Trail' c v n)), Additive v, Num n) => Parametric (Tangent (Trail' c v n)) type V (Tangent t) = V t type N (Tangent t) = N t type Codomain (Tangent t) = V t