UYasiuMathFL_Trigonometry Class Reference

BP Function library used with trigonometry. More...

#include <BPFunLib_Trigonometry.h>

Inheritance diagram for UYasiuMathFL_Trigonometry:

Public Member Functions
double	FindMinimalRadiusForIntersectingTangentsOnArc (double alfa, double beta, double symmetricWidth)
	Find radius of circle for both tangent lines that intersect.
FVector2D	FindMinimalRadiusForIntersectingTangentsOnArcAsymmetric (double alfa, double beta, double widthA, double widthB)
	Find radius of circle for both tangent line that intersect.

Static Public Member Functions
static void	SpreadPointsOnTangentByXY (TArray< FVector2D > &out, const double X, const double Y, const double spreadDistance)
	Spread points on tangent line to arc located by XY offset from arc center point 0,0.
static void	SpreadPointsOnTangentByAngleRadius (TArray< FVector2D > &out, double angle, double radius, double spreadDistance)
	Spread points on tangent line to arc located by angle and radius of given arc.

Detailed Description

BP Function library used with trigonometry.

Member Function Documentation

FindMinimalRadiusForIntersectingTangentsOnArc()

double UYasiuMathFL_Trigonometry::FindMinimalRadiusForIntersectingTangentsOnArc	(	double	alfa,
		double	beta,
		double	symmetricWidth )

Find radius of circle for both tangent lines that intersect.

Tangents on circle are defined by angle Alfa and Beta. Tangent line distance to meeting point from circle intersection is symmetricWidth. Angle is in radians.

\[ R=\frac{\sin(\alpha)*A-\sin(\beta)*B}{\cos(\beta)-\cos(\alpha)} \]

Parameters

alfa	Tangent point location defined by angle
beta	Tangent point location defined by angle
symmetricWidth	Width from tangent point to intersect

FindMinimalRadiusForIntersectingTangentsOnArcAsymmetric()

FVector2D UYasiuMathFL_Trigonometry::FindMinimalRadiusForIntersectingTangentsOnArcAsymmetric	(	double	alfa,
		double	beta,
		double	widthA,
		double	widthB )

Find radius of circle for both tangent line that intersect.

Asymmetry comes from 2 different widths. Tangents on circle are defined by angle Alfa and Beta. Tangent line distance to meeting point from circle intersection is symmetricWidth. Angle is in radians. First radius is bigger.

\[ R=\frac{\sin(\alpha)*A-\sin(\beta)*B}{\cos(\beta)-\cos(\alpha)} \]

Parameters

alfa	Tangent point location defined by angle
beta	Tangent point location defined by angle
widthA	Distance from intersection for point A
widthB	Distance from intersection for point B

Returns

Pair of radius for each circle.

SpreadPointsOnTangentByAngleRadius()

void UYasiuMathFL_Trigonometry::SpreadPointsOnTangentByAngleRadius ( TArray< FVector2D > & out, double angle, double radius, double spreadDistance )

static

Spread points on tangent line to arc located by angle and radius of given arc.

Points are moved away from tangent point by spreadDistance in perpendicular direction

Parameters

out	Returned collection of points
angle	Tangent location defined by angle
radius	Radius of arc
spreadDistance	Distance to spread in one direction from tangent point

SpreadPointsOnTangentByXY()

void UYasiuMathFL_Trigonometry::SpreadPointsOnTangentByXY ( TArray< FVector2D > & out, const double X, const double Y, const double spreadDistance )

static

Spread points on tangent line to arc located by XY offset from arc center point 0,0.

Points are moved away from tangent point by spreadDistance

Parameters

out	Returned collection of points
X	Position X
Y	Position Y
spreadDistance	Distance to spread in one direction from tangent point

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The documentation for this class was generated from the following file:

• Source/YasiuMath/Public/YasiuMathBP/BPFunLib_Trigonometry.h