TQuat2 | Unreal Engine 4.27 Documentation

Unreal Engine C++ API Reference > Runtime > Core > Math

References


Module	Core
Header	/Engine/Source/Runtime/Core/Public/Math/TransformCalculus2D.h
Include	#include "Math/TransformCalculus2D.h"

Syntax

template<typename T>  
class TQuat2

Remarks

Represents a 2D rotation as a complex number (analagous to quaternions). Rot(theta) == cos(theta) + i * sin(theta) General transformation follows complex number algebra from there. Does not use "spinor" notation using theta/2 as we don't need that decomposition for our purposes. This makes the implementation for straightforward and efficient for 2D.

Constructors

	Type	Name	Description
		TQuat2 ()	Ctor. initialize to an identity rotation.
		TQuat2 ( T RotRadians )	Ctor. initialize from a rotation in radians.
		TQuat2 ( const UE::Math::TVector2< VType >& InRot )	Ctor. initialize from an FVector2D, representing a complex number.

Functions

Type	Name	Description
TQuat2	Concatenate ( const TQuat2& RHS )	Transform 2 rotations defined by complex numbers: In imaginary land: (A + Bi) * (C + Di) == (AC - BD) + (AD + BC)i
const Vector2Type &	GetVector ()	Access to the underlying FVector2D that stores the complex number.
TQuat2	Inverse ()	Invert the rotation defined by complex numbers: In imaginary land, an inverse is a complex conjugate, which is equivalent to reflecting about the X axis: Conj(A + Bi) == A - Bi
UE::Math::TVector2< ArgType >	TransformPoint ( const UE::Math::TVector2< ArgType >& Point )	Transform a 2D point by the 2D complex number representing the rotation: In imaginary land: (x + yi) * (u + vi) == (xu - yv) + (xv + yu)i
UE::Math::TVector2< ArgType >	TransformVector ( const UE::Math::TVector2< ArgType >& Vector )	Vector rotation is equivalent to rotating a point.