CartesianOrientation class abstract

Frame of reference for mapping Angles and PolarCoords to Cartesian coordinates.

CartesianOrientations exist because the 0° axis and the positive direction of an Angle changes depending on use-case.

In mathematics a 0° angle points to the right, and a positive angle rotates counter-clockwise.

In screen space a 0° angle points to the right, and a positive angle rotates clockwise.

In ship navigation a 0° angle points up, and a positive angle rotates clockwise.

In each of the above use-cases, the exact same Angle or PolarCoord corresponds to different Cartesian coordinates due to the orientation.

Implementers

Constructors

CartesianOrientation()

Properties

hashCode → int
The hash code for this object.
no setterinherited
runtimeType → Type
A representation of the runtime type of the object.
no setterinherited

Methods

cartesianToPolar(Point<num> cartesianCoord) → PolarCoord
Maps the given cartesianCoord within this orientation to a PolarCoord.
fromScreenPoint(Point<num> point) → Point<num>
Returns the given screen-based point as seen by this coordinate system.
isAngleClockwise(Angle angle) → bool
Returns true if the given angle represents a clockwise movement from the 0° axis, or false otherwise.
isAngleCounterClockwise(Angle angle) → bool
Returns true if the given angle represents a counter-clockwise movement from the 0° axis, or false otherwise.
isRotationClockwise(Rotation rotation) → bool
Returns true if the given rotation represents a clockwise movement from the 0° axis, or false otherwise.
isRotationCounterClockwise(Rotation rotation) → bool
Returns true if the given rotation represents a counter-clockwise movement from the 0° axis, or false otherwise.
makeAngleClockwise(Angle angle) → Angle
Returns a clockwise version of the given angle, as seen through the given orientation.
makeAngleCounterClockwise(Angle angle) → Angle
Returns a counter-clockwise version of the given angle, as seen through the given orientation.
makeRotationClockwise(Rotation rotation) → Rotation
Returns a clockwise version of the given rotation, as seen through the given orientation.
makeRotationCounterClockwise(Rotation rotation) → Rotation
Returns a counter-clockwise version of the given rotation, as seen through the given orientation.
noSuchMethod(Invocation invocation) → dynamic
Invoked when a nonexistent method or property is accessed.
inherited
polarToCartesian(PolarCoord polarCoord) → Point<num>
Maps the given polarCoord to Cartesian coordinates within this orientation.
toScreenAngle(Angle angle) → Angle
Returns the given angle as seen by a screen's coordinate system.
toScreenPoint(Point<num> point) → Point<num>
Returns the given point as seen by a screen's coordinate system.
toScreenRotation(Rotation rotation) → Rotation
Returns the given rotation as seen by a screen's coordinate system.
toString() → String
A string representation of this object.
inherited

Operators

operator ==(Object other) → bool
The equality operator.
inherited