Arc2d

An Arc2d is a section of a circle, defined by its center point, start point and swept angle (the counterclockwise angle from the start point to the end point). This module includes functionality for

Constructing arcs through given points and/or with a given radius
Scaling, rotating, translating and mirroring arcs
Converting arcs between different coordinate systems

type alias Arc2d =

Arc2d

Constructors

from : Point2d -> Point2d -> Float -> Arc2d

with :

{ centerPoint : Point2d

, radius : Float

, startAngle : Float

, sweptAngle : Float

}

-> Arc2d

sweptAround : Point2d -> Float -> Point2d -> Arc2d

throughPoints : Point2d -> Point2d -> Point2d -> Maybe Arc2d

withRadius : Float -> SweptAngle -> Point2d -> Point2d -> Maybe Arc2d

Properties

centerPoint : Arc2d -> Point2d

radius : Arc2d -> Float

startPoint : Arc2d -> Point2d

endPoint : Arc2d -> Point2d

sweptAngle : Arc2d -> Float

Evaluation

pointOn : Arc2d -> ParameterValue -> Point2d

pointsAt : List ParameterValue -> Arc2d -> List Point2d

type Nondegenerate

nondegenerate : Arc2d -> Result Point2d Nondegenerate

fromNondegenerate : Nondegenerate -> Arc2d

tangentDirection : Nondegenerate -> ParameterValue -> Direction2d

tangentDirectionsAt : List ParameterValue -> Nondegenerate -> List Direction2d

sample : Nondegenerate -> ParameterValue -> ( Point2d, Direction2d )

samplesAt :

List ParameterValue

-> Nondegenerate

-> List ( Point2d, Direction2d )

Linear approximation

toPolyline : { maxError : Float } -> Arc2d -> Polyline2d

Transformations

reverse : Arc2d -> Arc2d

scaleAbout : Point2d -> Float -> Arc2d -> Arc2d

rotateAround : Point2d -> Float -> Arc2d -> Arc2d

translateBy : Vector2d -> Arc2d -> Arc2d

translateIn : Direction2d -> Float -> Arc2d -> Arc2d

mirrorAcross : Axis2d -> Arc2d -> Arc2d

Coordinate conversions

relativeTo : Frame2d -> Arc2d -> Arc2d

placeIn : Frame2d -> Arc2d -> Arc2d

Differentiation

You are unlikely to need to use these functions directly, but they are useful if you are writing low-level geometric algorithms.

firstDerivative : Arc2d -> ParameterValue -> Vector2d

firstDerivativesAt : List ParameterValue -> Arc2d -> List Vector2d

ianmackenzie/elm-geometry/1.0.0

Arc2d

Constructors

Properties

Evaluation

Linear approximation

Transformations

Coordinate conversions

Differentiation

Modules