#include "CoreTypes.h"
#include "Math/Vector.h"
#include "Math/Rotator.h"
#include "Math/Matrix.h"
#include "Math/RotationMatrix.h"
#include "Math/TranslationMatrix.h"
#include "Math/Quat.h"
#include "Math/ScaleMatrix.h"
#include "Math/TransformCalculus.h"

Include dependency graph for TransformCalculus3D.h:

Classes
class	TScale< T >

struct	TransformConverter< FMatrix44f >

struct	TransformConverter< FMatrix44d >

struct	ConcatenateRules< float, TScale< T > >

struct	ConcatenateRules< double, TScale< T > >

struct	ConcatenateRules< TScale< T >, float >

struct	ConcatenateRules< TScale< T >, double >

struct	ConcatenateRules< float, UE::Math::TVector< T > >

struct	ConcatenateRules< double, UE::Math::TVector< T > >

struct	ConcatenateRules< UE::Math::TVector< T >, float >

struct	ConcatenateRules< UE::Math::TVector< T >, double >

struct	ConcatenateRules< float, UE::Math::TRotator< T > >

struct	ConcatenateRules< double, UE::Math::TRotator< T > >

struct	ConcatenateRules< UE::Math::TRotator< T >, float >

struct	ConcatenateRules< UE::Math::TRotator< T >, double >

struct	ConcatenateRules< float, UE::Math::TQuat< T > >

struct	ConcatenateRules< double, UE::Math::TQuat< T > >

struct	ConcatenateRules< UE::Math::TQuat< T >, float >

struct	ConcatenateRules< UE::Math::TQuat< T >, double >

struct	ConcatenateRules< float, UE::Math::TMatrix< T > >

struct	ConcatenateRules< double, UE::Math::TMatrix< T > >

struct	ConcatenateRules< UE::Math::TMatrix< T >, float >

struct	ConcatenateRules< UE::Math::TMatrix< T >, double >

struct	ConcatenateRules< TScale< T >, UE::Math::TVector< T > >

struct	ConcatenateRules< UE::Math::TVector< T >, TScale< T > >

struct	ConcatenateRules< TScale< T >, UE::Math::TRotator< T > >

struct	ConcatenateRules< UE::Math::TRotator< T >, TScale< T > >

struct	ConcatenateRules< TScale< T >, UE::Math::TQuat< T > >

struct	ConcatenateRules< UE::Math::TQuat< T >, TScale< T > >

struct	ConcatenateRules< TScale< T >, UE::Math::TMatrix< T > >

struct	ConcatenateRules< UE::Math::TMatrix< T >, TScale< T > >

struct	ConcatenateRules< UE::Math::TVector< T >, UE::Math::TRotator< T > >

struct	ConcatenateRules< UE::Math::TRotator< T >, UE::Math::TVector< T > >

struct	ConcatenateRules< UE::Math::TVector< T >, UE::Math::TQuat< T > >

struct	ConcatenateRules< UE::Math::TQuat< T >, UE::Math::TVector< T > >

struct	ConcatenateRules< UE::Math::TVector< T >, UE::Math::TMatrix< T > >

struct	ConcatenateRules< UE::Math::TMatrix< T >, UE::Math::TVector< T > >

struct	ConcatenateRules< UE::Math::TRotator< T >, UE::Math::TQuat< T > >

struct	ConcatenateRules< UE::Math::TQuat< T >, UE::Math::TRotator< T > >

struct	ConcatenateRules< UE::Math::TRotator< T >, UE::Math::TMatrix< T > >

struct	ConcatenateRules< UE::Math::TMatrix< T >, UE::Math::TRotator< T > >

struct	ConcatenateRules< UE::Math::TQuat< T >, UE::Math::TMatrix< T > >

struct	ConcatenateRules< UE::Math::TMatrix< T >, UE::Math::TQuat< T > >

Namespaces
namespace	UE

namespace	UE::Math

Typedefs
typedef TScale< float >	FScale3f

typedef TScale< double >	FScale3d

typedef FScale3f	FScale3D

Functions
template<typename TransformType >
auto	ToMatrix (const TransformType &Transform) -> decltype(Transform.ToMatrix())

const UE::Math::TMatrix< float > &	ToMatrix (const UE::Math::TMatrix< float > &Transform)

const UE::Math::TMatrix< double > &	ToMatrix (const UE::Math::TMatrix< double > &Transform)

UE::Math::TMatrix< float >	ToMatrix (float Scale)

UE::Math::TMatrix< double >	ToMatrix (double Scale)

UE::Math::TMatrix< float >	ToMatrix (const TScale< float > &Scale)

UE::Math::TMatrix< double >	ToMatrix (const TScale< double > &Scale)

UE::Math::TMatrix< float >	ToMatrix (const UE::Math::TVector< float > &Translation)

UE::Math::TMatrix< double >	ToMatrix (const UE::Math::TVector< double > &Translation)

UE::Math::TMatrix< float >	ToMatrix (const UE::Math::TRotator< float > &Rotation)

UE::Math::TMatrix< double >	ToMatrix (const UE::Math::TRotator< double > &Rotation)

UE::Math::TMatrix< float >	ToMatrix (const UE::Math::TQuat< float > &Rotation)

UE::Math::TMatrix< double >	ToMatrix (const UE::Math::TQuat< double > &Rotation)

template<typename T >
UE::Math::TMatrix< T >	UE::Math::Concatenate (const UE::Math::TMatrix< T > &LHS, const UE::Math::TMatrix< T > &RHS)

template<typename T >
UE::Math::TVector< T >	UE::Math::Concatenate (const UE::Math::TVector< T > &LHS, const UE::Math::TVector< T > &RHS)

template<typename T >
UE::Math::TQuat< T >	UE::Math::Concatenate (const UE::Math::TQuat< T > &LHS, const UE::Math::TQuat< T > &RHS)

template<typename T >
UE::Math::TRotator< T >	Concatenate (const UE::Math::TRotator< T > &LHS, const UE::Math::TRotator< T > &RHS)

template<typename T >
UE::Math::TMatrix< T >	Inverse (const UE::Math::TMatrix< T > &Transform)

template<typename T >
UE::Math::TRotator< T >	Inverse (const UE::Math::TRotator< T > &Transform)

template<typename T >
UE::Math::TQuat< T >	Inverse (const UE::Math::TQuat< T > &Transform)

template<typename T >
UE::Math::TVector< T >	Inverse (const UE::Math::TVector< T > &Transform)

template<typename T >
UE::Math::TVector< T >	TransformPoint (const UE::Math::TMatrix< T > &Transform, const UE::Math::TVector< T > &Point)

template<typename T >
UE::Math::TVector< T >	TransformPoint (const UE::Math::TQuat< T > &Transform, const UE::Math::TVector< T > &Point)

template<typename T >
UE::Math::TVector< T >	TransformVector (const UE::Math::TQuat< T > &Transform, const UE::Math::TVector< T > &Vector)

template<typename T >
UE::Math::TVector< T >	TransformPoint (const UE::Math::TRotator< T > &Transform, const UE::Math::TVector< T > &Point)

template<typename T >
UE::Math::TVector< T >	TransformVector (const UE::Math::TRotator< T > &Transform, const UE::Math::TVector< T > &Vector)

template<typename T >
UE::Math::TVector< T >	TransformPoint (const UE::Math::TVector< T > &Transform, const UE::Math::TVector< T > &Point)

template<typename T >
const UE::Math::TVector< T > &	TransformVector (const UE::Math::TVector< T > &Transform, const UE::Math::TVector< T > &Vector)

template<typename T >
UE::Math::TVector< T >	TransformPoint (const TScale< T > &Transform, const UE::Math::TVector< T > &Point)

template<typename T >
UE::Math::TVector< T >	TransformVector (const TScale< T > &Transform, const UE::Math::TVector< T > &Vector)

Typedef Documentation

◆ FScale3d

typedef TScale<double> FScale3d

Definition at line 71 of file TransformCalculus3D.h.

◆ FScale3D

typedef FScale3f FScale3D

Definition at line 72 of file TransformCalculus3D.h.

◆ FScale3f

typedef TScale<float> FScale3f

Core typedefs

Definition at line 70 of file TransformCalculus3D.h.

Function Documentation

◆ Concatenate()

template<typename T >

UE::Math::TRotator< T > Concatenate	(	const UE::Math::TRotator< T > &	LHS,
		const UE::Math::TRotator< T > &	RHS )

inline

Specialization for concatenating two rotations.

Parameters

LHS	rotation that goes from space A to space B
RHS	rotation that goes from space B to space C.

Returns: a new rotation representing the transformation from the input space of LHS to the output space of RHS.

Definition at line 329 of file TransformCalculus3D.h.

◆ Inverse() [1/4]

template<typename T >

UE::Math::TMatrix< T > Inverse ( const UE::Math::TMatrix< T > & Transform )

inline

Inverts a transform from space A to space B so it transforms from space B to space A. Specialization for UE::Math::TMatrix<T>.

Parameters

Transform Input transform from space A to space B.

Returns: Inverted transform from space B to space A.

Definition at line 351 of file TransformCalculus3D.h.

◆ Inverse() [2/4]

template<typename T >

UE::Math::TQuat< T > Inverse ( const UE::Math::TQuat< T > & Transform )

inline

Inverts a transform from space A to space B so it transforms from space B to space A. Specialization for UE::Math::TQuat<T>.

Parameters

Transform Input transform from space A to space B.

Returns: Inverted transform from space B to space A.

Definition at line 378 of file TransformCalculus3D.h.

◆ Inverse() [3/4]

template<typename T >

UE::Math::TRotator< T > Inverse ( const UE::Math::TRotator< T > & Transform )

inline

Inverts a transform from space A to space B so it transforms from space B to space A. Specialization for UE::Math::TRotator<T>.

Parameters

Transform Input transform from space A to space B.

Returns: Inverted transform from space B to space A.

Definition at line 364 of file TransformCalculus3D.h.

◆ Inverse() [4/4]

template<typename T >

UE::Math::TVector< T > Inverse ( const UE::Math::TVector< T > & Transform )

inline

Inverts a transform from space A to space B so it transforms from space B to space A. Specialization for translation.

Parameters

Transform Input transform from space A to space B.

Returns: Inverted transform from space B to space A.

Definition at line 391 of file TransformCalculus3D.h.

◆ ToMatrix() [1/13]

template<typename TransformType >

auto ToMatrix ( const TransformType & Transform ) -> decltype(Transform.ToMatrix())

inline

Converts a generic transform to a matrix using a ToMatrix() member function. Uses decltype to allow some classes to return const-ref types for efficiency.

Parameters

Transform

Returns: the UE::Math::TMatrix<T> stored by the Transform.

Definition at line 96 of file TransformCalculus3D.h.

◆ ToMatrix() [2/13]

UE::Math::TMatrix< double > ToMatrix ( const TScale< double > & Scale )

inline

Definition at line 143 of file TransformCalculus3D.h.

◆ ToMatrix() [3/13]

UE::Math::TMatrix< float > ToMatrix ( const TScale< float > & Scale )

inline

Specialization for non-uniform Scale.

Parameters

Scale Non-uniform Scale

Returns: Matrix that represents the non-uniform Scale space.

Definition at line 139 of file TransformCalculus3D.h.

◆ ToMatrix() [4/13]

const UE::Math::TMatrix< double > & ToMatrix ( const UE::Math::TMatrix< double > & Transform )

inline

Definition at line 112 of file TransformCalculus3D.h.

◆ ToMatrix() [5/13]

const UE::Math::TMatrix< float > & ToMatrix ( const UE::Math::TMatrix< float > & Transform )

inline

Specialization for the NULL Matrix conversion.

Parameters

Scale Uniform Scale

Returns: Matrix that represents the uniform Scale space.

Definition at line 107 of file TransformCalculus3D.h.

◆ ToMatrix() [6/13]

UE::Math::TMatrix< double > ToMatrix ( const UE::Math::TQuat< double > & Rotation )

inline

Definition at line 188 of file TransformCalculus3D.h.

◆ ToMatrix() [7/13]

UE::Math::TMatrix< float > ToMatrix ( const UE::Math::TQuat< float > & Rotation )

inline

Specialization for rotation.

Parameters

Rotation Rotation

Returns: Matrix that represents the rotated space.

Definition at line 184 of file TransformCalculus3D.h.

◆ ToMatrix() [8/13]

UE::Math::TMatrix< double > ToMatrix ( const UE::Math::TRotator< double > & Rotation )

inline

Definition at line 173 of file TransformCalculus3D.h.

◆ ToMatrix() [9/13]

UE::Math::TMatrix< float > ToMatrix ( const UE::Math::TRotator< float > & Rotation )

inline

Specialization for rotation.

Parameters

Rotation Rotation

Returns: Matrix that represents the rotated space.

Definition at line 169 of file TransformCalculus3D.h.

◆ ToMatrix() [10/13]

UE::Math::TMatrix< double > ToMatrix ( const UE::Math::TVector< double > & Translation )

inline

Definition at line 158 of file TransformCalculus3D.h.

◆ ToMatrix() [11/13]

UE::Math::TMatrix< float > ToMatrix ( const UE::Math::TVector< float > & Translation )

inline

Specialization for translation.

Parameters

Translation Translation

Returns: Matrix that represents the translated space.

Definition at line 154 of file TransformCalculus3D.h.

◆ ToMatrix() [12/13]

UE::Math::TMatrix< double > ToMatrix ( double Scale )

inline

Definition at line 128 of file TransformCalculus3D.h.

◆ ToMatrix() [13/13]

UE::Math::TMatrix< float > ToMatrix ( float Scale )

inline

Specialization for floats as a uniform scale.

Parameters

Scale Uniform Scale

Returns: Matrix that represents the uniform Scale space.

Definition at line 123 of file TransformCalculus3D.h.

◆ TransformPoint() [1/5]

template<typename T >

UE::Math::TVector< T > TransformPoint	(	const TScale< T > &	Transform,
		const UE::Math::TVector< T > &	Point )

inline

Specialization for Scale.

Definition at line 470 of file TransformCalculus3D.h.

◆ TransformPoint() [2/5]

template<typename T >

UE::Math::TVector< T > TransformPoint	(	const UE::Math::TMatrix< T > &	Transform,
		const UE::Math::TVector< T > &	Point )

inline

Specialization for UE::Math::TMatrix<T> as it's member function is called something slightly different.

Definition at line 407 of file TransformCalculus3D.h.

◆ TransformPoint() [3/5]

template<typename T >

UE::Math::TVector< T > TransformPoint	(	const UE::Math::TQuat< T > &	Transform,
		const UE::Math::TVector< T > &	Point )

inline

Specialization for UE::Math::TQuat<T> as it's member function is called something slightly different.

Definition at line 416 of file TransformCalculus3D.h.

◆ TransformPoint() [4/5]

template<typename T >

UE::Math::TVector< T > TransformPoint	(	const UE::Math::TRotator< T > &	Transform,
		const UE::Math::TVector< T > &	Point )

inline

Specialization for UE::Math::TRotator<T> as it's member function is called something slightly different.

Definition at line 434 of file TransformCalculus3D.h.

◆ TransformPoint() [5/5]

template<typename T >

UE::Math::TVector< T > TransformPoint	(	const UE::Math::TVector< T > &	Transform,
		const UE::Math::TVector< T > &	Point )

inline

Specialization for UE::Math::TVector<T> Translation.

Definition at line 452 of file TransformCalculus3D.h.

◆ TransformVector() [1/4]

template<typename T >

UE::Math::TVector< T > TransformVector	(	const TScale< T > &	Transform,
		const UE::Math::TVector< T > &	Vector )

inline

Specialization for Scale.

Definition at line 479 of file TransformCalculus3D.h.

◆ TransformVector() [2/4]

template<typename T >

UE::Math::TVector< T > TransformVector	(	const UE::Math::TQuat< T > &	Transform,
		const UE::Math::TVector< T > &	Vector )

inline

Specialization for UE::Math::TQuat<T> as it's member function is called something slightly different.

Definition at line 425 of file TransformCalculus3D.h.

◆ TransformVector() [3/4]

template<typename T >

UE::Math::TVector< T > TransformVector	(	const UE::Math::TRotator< T > &	Transform,
		const UE::Math::TVector< T > &	Vector )

inline

Specialization for UE::Math::TRotator<T> as it's member function is called something slightly different.

Definition at line 443 of file TransformCalculus3D.h.

◆ TransformVector() [4/4]

template<typename T >

const UE::Math::TVector< T > & TransformVector	(	const UE::Math::TVector< T > &	Transform,
		const UE::Math::TVector< T > &	Vector )

inline

Specialization for UE::Math::TVector<T> Translation (does nothing).

Definition at line 461 of file TransformCalculus3D.h.

Classes

Namespaces

Typedefs

Functions

Typedef Documentation

◆ FScale3d

◆ FScale3D

◆ FScale3f

Function Documentation

◆ Concatenate()

◆ Inverse() [1/4]

◆ Inverse() [2/4]

◆ Inverse() [3/4]

◆ Inverse() [4/4]

◆ ToMatrix() [1/13]

◆ ToMatrix() [2/13]

◆ ToMatrix() [3/13]

◆ ToMatrix() [4/13]

◆ ToMatrix() [5/13]

◆ ToMatrix() [6/13]

◆ ToMatrix() [7/13]

◆ ToMatrix() [8/13]

◆ ToMatrix() [9/13]

◆ ToMatrix() [10/13]

◆ ToMatrix() [11/13]

◆ ToMatrix() [12/13]

◆ ToMatrix() [13/13]

◆ TransformPoint() [1/5]

◆ TransformPoint() [2/5]

◆ TransformPoint() [3/5]

◆ TransformPoint() [4/5]

◆ TransformPoint() [5/5]

◆ TransformVector() [1/4]

◆ TransformVector() [2/4]

◆ TransformVector() [3/4]

◆ TransformVector() [4/4]