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  3. TMatrix2x2

TMatrix2x2

Transform calculus for 2D types.

API > API/Runtime > API/Runtime/Core > API/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 TMatrix2x2

Remarks

Transform calculus for 2D types. UE4 already has a 2D Vector class that we will adapt to be interpreted as a translate transform. The rest we create new classes for.

The following types are supported

  • float/double -> represents a uniform scale.
  • FScale2D -> represents a 2D non-uniform scale.
  • FVector2D -> represents a 2D translation.
  • FShear2D -> represents a "2D shear", interpreted as a shear parallel to the X axis followed by a shear parallel to the Y axis.
  • FQuat2D -> represents a pure 2D rotation.
  • FMatrix2x2 -> represents a general 2D transform.

2x2 generalized matrix. As FMatrix, we assume row vectors, row major storage: [X Y] * [m00 m01] [m10 m11]

Constructors

  Type Name Description
Public function   Ctor. initialize to an identity.
Public function  

TMatrix2x2 ( T UniformScale
)

 Ctor. initialize from a scale.
Public function  

TMatrix2x2 ( const TScale2< T >& Scale
)

 Ctor. initialize from a scale.
Public function  

TMatrix2x2 ( const TShear2< T >& Shear
)

 Factory function. initialize from a 2D shear.
Public function  

TMatrix2x2 ( const FQuat2D& Rotation
)

 Ctor. initialize from a rotation.
Public function  

TMatrix2x2 ( T m00,
T m01,
T m10,
T m11
)

  

Functions

  Type Name Description
Public function Const TMatrix2x2

Concatenate ( const TMatrix2x2& RHS
)

 Concatenate 2 matrices: [A B] * [E F] == [AE+BG AF+BH] [C D] [G H] [CE+DG CF+DH]
Public function Const T  
Public function Const void

GetMatrix ( double& A,
double& B,
double& C,
double& D
)

  
Public function Const void

GetMatrix ( float& A,
float& B,
float& C,
float& D
)

  
Public function Const T Gets the rotation angle of the matrix.
Public function Const TScale2< T > Gets the scale from the matrix.
Public function Const TScale2< T > Extracts the squared scale from the matrix (avoids sqrt).
Public function Const TMatrix2x2

Inverse ()

 Invert the transform.
Public function Const T  
Public function Const bool Determines if the matrix is identity or not.
Public function Const bool

IsNearlyIdentity ( T ErrorTolerance
)

  
Public function Const UE::Math::TVector2< ArgType >

TransformPoint ( const UE::Math::TVector2< ArgType >& Point
)

 Transform a 2D point [X Y] * [m00 m01] [m10 m11]
Public function Const UE::Math::TVector2< ArgType >

TransformVector ( const UE::Math::TVector2< ArgType >& Vector
)

 Vector transformation is equivalent to point transformation as our matrix is not homogeneous.

Operators

  Type Name Description
Public function Const bool

operator!= ( const TMatrix2x2& Other
)

 Inequality.
Public function Const bool

operator== ( const TMatrix2x2& RHS
)

 Equality.

Typedefs

Name Description
FReal  
Vector2Type  

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