UE::Geometry::Spline::Math Namespace Reference

Classes
struct	FSplineValidation
struct	TBezierDerivativeCalculator
struct	TBSplineDerivativeCalculator
struct	TBSplineDerivativeCalculator< T, 0 >
struct	TGenericDerivativeHelper

Functions
template<typename T >
double	Size (const T &Value)
template<typename T >
double	SizeSquared (const T &Value)
template<typename T >
double	Distance (const T &A, const T &B)
template<typename T >
double	CentripetalDistance (const T &A, const T &B)
template<typename T >
double	Dot (const T &A, const T &B)
template<typename T >
T	GetSafeNormal (const T &Value)
template<typename T >
bool	Equals (const T &A, const T &B, float Tolerance=UE_KINDA_SMALL_NUMBER)
template<int32 N>
const TArray< double > &	GetFactorialTable ()
template<int32 N>
const TArray< TArray< double > > &	GetBinomialTable ()
template<typename ValueType >
float	FindNearestPoint_Cubic (const TArrayView< ValueType > Coeffs, float StartParam, float EndParam, float &OutSquaredDistance)
template<typename ValueType >
ValueType	ComputeFirstDerivativeCentralDifference (const TSplineInterface< ValueType > &Spline, double Param, double Step=UE_KINDA_SMALL_NUMBER)
template<typename ValueType >
ValueType	ComputeSecondDerivativeCentralDifference (const TSplineInterface< ValueType > &Spline, double Param, double Step=0.1)

Function Documentation

CentripetalDistance()

template<typename T >

double UE::Geometry::Spline::Math::CentripetalDistance	(	const T &	A,
		const T &	B
	)

Centripetal distance calculation (for parameterization)

ComputeFirstDerivativeCentralDifference()

template<typename ValueType >

ValueType UE::Geometry::Spline::Math::ComputeFirstDerivativeCentralDifference	(	const TSplineInterface< ValueType > &	Spline,
		double	Param,
		double	Step = UE_KINDA_SMALL_NUMBER
	)

ComputeSecondDerivativeCentralDifference()

template<typename ValueType >

ValueType UE::Geometry::Spline::Math::ComputeSecondDerivativeCentralDifference	(	const TSplineInterface< ValueType > &	Spline,
		double	Param,
		double	Step = 0.1
	)

Distance()

template<typename T >

double UE::Geometry::Spline::Math::Distance	(	const T &	A,
		const T &	B
	)

Distance between values

Dot()

template<typename T >

double UE::Geometry::Spline::Math::Dot	(	const T &	A,
		const T &	B
	)

Dot product between values

Equals()

template<typename T >

bool UE::Geometry::Spline::Math::Equals	(	const T &	A,
		const T &	B,
		float	Tolerance = UE_KINDA_SMALL_NUMBER
	)

Check if two values are equal within tolerance

FindNearestPoint_Cubic()

template<typename ValueType >

float UE::Geometry::Spline::Math::FindNearestPoint_Cubic	(	const TArrayView< ValueType >	Coeffs,
		float	StartParam,
		float	EndParam,
		float &	OutSquaredDistance
	)

Find nearest point on a cubic Bezier curve segment to a target point

Parameters

Coeffs	- Array of 4 coefficients in Bezier form relative to target point
StartParam	- Start parameter of segment
EndParam	- End parameter of segment
OutSquaredDistance	- Output squared distance to nearest point

Returns

Parameter at nearest point between StartParam and EndParam

GetBinomialTable()

template<int32 N>

const TArray< TArray< double > > & UE::Geometry::Spline::Math::GetBinomialTable

(

)

GetFactorialTable()

template<int32 N>

const TArray< double > & UE::Geometry::Spline::Math::GetFactorialTable

(

)

GetSafeNormal()

template<typename T >

T UE::Geometry::Spline::Math::GetSafeNormal

(

const T &

Value

)

Get normalized version of a value

Size()

template<typename T >

double UE::Geometry::Spline::Math::Size

(

const T &

Value

)

Size/magnitude of a value

SizeSquared()

template<typename T >

double UE::Geometry::Spline::Math::SizeSquared

(

const T &

Value

)

Squared size (optimization to avoid sqrt)