TQuat2 | Unreal Engine 5.7 Documentation | Epic Developer Community

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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.


Name	TQuat2
Type	class
Header File	/Engine/Source/Runtime/Core/Public/Math/TransformCalculus2D.h
Include Path	#include "Math/TransformCalculus2D.h"

Syntax

template<typename T>  
class TQuat2

Constructors

Name	Remarks	Include Path
TQuat2 ()	Ctor. initialize to an identity rotation.	Math/TransformCalculus2D.h
TQuat2 ( T RotRadians )	Ctor. initialize from a rotation in radians.	Math/TransformCalculus2D.h
TQuat2 ( const UE::Math::TVector2< VType >& InRot )	Ctor. initialize from an FVector2D, representing a complex number.	Math/TransformCalculus2D.h

Typedefs

Name	Type	Remarks	Include Path
FReal	T		Math/TransformCalculus2D.h
Vector2Type	UE::Math::TVector2< T >		Math/TransformCalculus2D.h

Variables

Protected

Name	Type	Remarks	Include Path	Unreal Specifiers
Rot	Vector2Type	Underlying storage of the rotation (X = cos(theta), Y = sin(theta).	Math/TransformCalculus2D.h

Functions

Public

Name	Remarks	Include Path
TQuat2 Concatenate ( const TQuat2& RHS ) const	Transform 2 rotations defined by complex numbers: In imaginary land: (A + Bi) * (C + Di) == (AC - BD) + (AD + BC)i	Math/TransformCalculus2D.h
const Vector2Type & GetVector()	Access to the underlying FVector2D that stores the complex number.	Math/TransformCalculus2D.h
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	Math/TransformCalculus2D.h
UE::Math::TVector2< ArgType > TransformPoint ( const UE::Math::TVector2< ArgType >& Point ) const	Transform a 2D point by the 2D complex number representing the rotation: In imaginary land: (x + yi) * (u + vi) == (xu - yv) + (xv + yu)i	Math/TransformCalculus2D.h
UE::Math::TVector2< ArgType > TransformVector ( const UE::Math::TVector2< ArgType >& Vector ) const	Vector rotation is equivalent to rotating a point.	Math/TransformCalculus2D.h

Operators

Name	Remarks	Include Path	Unreal Specifiers
bool operator!= ( const TQuat2& Other ) const	Inequality.	Math/TransformCalculus2D.h
bool operator== ( const TQuat2& Other ) const	Equality.	Math/TransformCalculus2D.h

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