YasiuMath::Trigonometry Namespace Reference

Trigonometry problems in 2D or 3D space. More...

Functions
template<typename T>
std::vector< std::pair< T, T > >	SpreadPointsOnTangentByAngleRadius (const T angle, const T radius, const T spreadDistance)
template<typename T>
std::vector< std::pair< T, T > >	SpreadPointsOnTangentByXY (const T X, const T Y, const T spreadDistance)
	Spread points on tangent line to arc.
template<typename T>
T	FindMinimalRadiusForIntersectingTangentsOnArc (const T alfa, const T beta, const T symmetricWidth)
	Finds radius of circle for both tangent line that intersect.
template<typename T>
std::pair< T, T >	FindMinimalRadiusForIntersectingTangentsOnArcAsymmetric (const T alfa, const T beta, const T widthA, const T widthB)
	Finds radius of 2 circles for both tangent line that intersect. Tangents on circle are defined by angle Alfa and Beta. Where point with angle 0 is has value \(\{X, 0\}\) and goes counter-clockwise.

Detailed Description

Trigonometry problems in 2D or 3D space.

Function Documentation

FindMinimalRadiusForIntersectingTangentsOnArc()

template<typename T>

T YasiuMath::Trigonometry::FindMinimalRadiusForIntersectingTangentsOnArc	(	const T	alfa,
		const T	beta,
		const T	symmetricWidth )

Finds radius of circle for both tangent line that intersect.

Tangents on circle are defined by angle Alfa and Beta. Where point with angle 0 is has value \(\{X, 0\}\) and goes counter-clockwise

Tangent line distance to meeting point from circle intersection is symmetricWidth.

Angle is in radians.

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

Template Parameters

T

Parameters

alfa
beta
symmetricWidth

Returns

FindMinimalRadiusForIntersectingTangentsOnArcAsymmetric()

template<typename T>

std::pair< T, T > YasiuMath::Trigonometry::FindMinimalRadiusForIntersectingTangentsOnArcAsymmetric	(	const T	alfa,
		const T	beta,
		const T	widthA,
		const T	widthB )

Finds radius of 2 circles for both tangent line that intersect. Tangents on circle are defined by angle Alfa and Beta. Where point with angle 0 is has value \(\{X, 0\}\) and goes counter-clockwise.

Tangent line distance to meeting point from circle intersection is symmetricWidth.

Angle is in radians.

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

Template Parameters

T

Parameters

alfa	angle of first point
beta	angle of second point
widthA	distance for first point
widthB	distance for second point

Returns

Pair of radius for each circle

Only place when they don't meet in infinite space

SpreadPointsOnTangentByAngleRadius()

template<typename T>

std::vector< std::pair< T, T > > YasiuMath::Trigonometry::SpreadPointsOnTangentByAngleRadius	(	const T	angle,
		const T	radius,
		const T	spreadDistance )

Spread points on tangent line to arc located by angle and radius of given arc. Points are moved away from tangent point by spreadDistance

Template Parameters

T

Parameters

angle
radius
spreadDistance

Returns

SpreadPointsOnTangentByXY()

template<typename T>

std::vector< std::pair< T, T > > YasiuMath::Trigonometry::SpreadPointsOnTangentByXY	(	const T	X,
		const T	Y,
		const T	spreadDistance )

Spread points on tangent line to arc.

XY is tangent point location, and arc center is 0,0. Points are moved away from tangent point by spreadDistance

Template Parameters

T

Parameters

X
Y
spreadDistance

Returns