Rotation2D (Euclid)

Rotation2D Type

Namespace: Euclid
Assembly: Euclid.dll
Base Type: ValueType
Kind: Struct

2D Counter Clockwise rotation. It can be applied in World X, Y or Z plane. Internally stored just as a Sine and Cosine value. For arbitrary rotations use Quaternions or 4x4 Matrix. However this module has much better performance than the more general Matrix4x4 or a Quaternion. Note: Never use the struct default constructor Rotation2D() as it will create an invalid zero Rotation2D. Use Rotation2D.create or Rotation2D.createUnchecked instead.

Record fields

Record Field	Description
`Cos` Full Usage: `Cos` Field type: `float`	The Cosine component of this rotation. The range of these field is -1.0 to +1.0 Field type: `float`
`Sin` Full Usage: `Sin` Field type: `float`	The Sine component of this rotation. The range of these field is -1.0 to +1.0 Field type: `float`

Instance members

Instance member	Description
`this.Add` Full Usage: `this.Add` Parameters: ro : `Rotation2D` Returns: `Rotation2D` Modifiers: inline	Create a new 2D Rotation that adds 2D Rotation to the existing one. ro : `Rotation2D` Returns: `Rotation2D`
`this.AddDegrees` Full Usage: `this.AddDegrees` Parameters: deg : `float` Returns: `Rotation2D` Modifiers: inline	Create a new 2D Rotation that adds and angle in Degrees to the existing one. deg : `float` Returns: `Rotation2D`
`this.AddRadians` Full Usage: `this.AddRadians` Parameters: rad : `float` Returns: `Rotation2D` Modifiers: inline	Create a new 2D Rotation that adds and angle in Radians to the existing one. rad : `float` Returns: `Rotation2D`
`this.InDegrees` Full Usage: `this.InDegrees` Returns: `float` Modifiers: inline	Returns the angle represented by this 2D Rotation in Degrees. Returns: `float`
`this.InRadians` Full Usage: `this.InRadians` Returns: `float` Modifiers: inline	Returns the angle represented by this 2D Rotation in Radians. Returns: `float`
`this.Inverse` Full Usage: `this.Inverse` Returns: `Rotation2D` Modifiers: inline	Returns the 2D Rotation in the opposite direction. Returns: `Rotation2D`

Static members

Static member	Description
`Rotation2D.createFromDegrees deg` Full Usage: `Rotation2D.createFromDegrees deg` Parameters: deg : `float` Returns: `Rotation2D`	Construct 2D Rotation from angle in Degree. deg : `float` Returns: `Rotation2D`
`Rotation2D.createFromRadians rad` Full Usage: `Rotation2D.createFromRadians rad` Parameters: rad : `float` Returns: `Rotation2D`	Construct 2D Rotation from angle in Radians rad : `float` Returns: `Rotation2D`
`Rotation2D.createFromVectors (a, b)` Full Usage: `Rotation2D.createFromVectors (a, b)` Parameters: a : `Vc` b : `Vc` Returns: `Rotation2D`	a : `Vc` b : `Vc` Returns: `Rotation2D`
`Rotation2D.createFromVectors (a, b)` Full Usage: `Rotation2D.createFromVectors (a, b)` Parameters: a : `UnitVc` b : `UnitVc` Returns: `Rotation2D`	a : `UnitVc` b : `UnitVc` Returns: `Rotation2D`
`Rotation2D.createUnchecked (sine, cosine)` Full Usage: `Rotation2D.createUnchecked (sine, cosine)` Parameters: sine : `float` cosine : `float` Returns: `Rotation2D`	Construct 2D Rotation from sine and corresponding cosine directly. Input is unchecked and not validated. sine : `float` cosine : `float` Returns: `Rotation2D`
`Rotation2D.equals tol a b` Full Usage: `Rotation2D.equals tol a b` Parameters: tol : `float` a : `Rotation2D` b : `Rotation2D` Returns: `bool`	Checks if two 2D Rotations are equal within tolerance. By comparing the fields Sin and Cos each with the given tolerance. The range of these field is -1.0 to +1.0 Use a tolerance of 0.0 to check for an exact match. tol : `float` a : `Rotation2D` b : `Rotation2D` Returns: `bool`