Frame2d

A Frame2d has an origin point and a pair of X and Y directions (which are always perpendicular to each other). It can be thought of as:

A local coordinate system: Most geometric types have associated relativeTo and placeIn functions that convert values of that type from global coordinates to local coordinates in a particular frame, and vice versa.
A pair of X and Y axes: It is often convenient to (for example) mirror across the X axis of a frame, or project onto its Y axis. Frames can also themselves be translated, rotated and mirrored!
A combined 2D position and orientation: For example, a Frame2d could be used to define the position and orientation of a spaceship in a 2D game. Movement of the ship would then be done by translating and rotating the frame.

type alias Frame2d =

Frame2d

Constants

xy : Frame2d

atPoint : Point2d -> Frame2d

atCoordinates : ( Float, Float ) -> Frame2d

withXDirection : Direction2d -> Point2d -> Frame2d

withYDirection : Direction2d -> Point2d -> Frame2d

{ originPoint : Point2d

, xDirection : Direction2d

, yDirection : Direction2d

}

-> Frame2d

originPoint : Frame2d -> Point2d

xDirection : Frame2d -> Direction2d

yDirection : Frame2d -> Direction2d

isRightHanded : Frame2d -> Bool

xAxis : Frame2d -> Axis2d

yAxis : Frame2d -> Axis2d

reverseX : Frame2d -> Frame2d

reverseY : Frame2d -> Frame2d

moveTo : Point2d -> Frame2d -> Frame2d

rotateBy : Float -> Frame2d -> Frame2d

rotateAround : Point2d -> Float -> Frame2d -> Frame2d

translateBy : Vector2d -> Frame2d -> Frame2d

translateIn : Direction2d -> Float -> Frame2d -> Frame2d

translateAlongOwn : (Frame2d -> Axis2d) -> Float -> Frame2d -> Frame2d

mirrorAcross : Axis2d -> Frame2d -> Frame2d

relativeTo : Frame2d -> Frame2d -> Frame2d

placeIn : Frame2d -> Frame2d -> Frame2d