lass::prim::impl::Plane3DImplDetail Class Reference

common implementation stuff for Plane3D implementations. More...

#include <plane_3d_impl_detail.h>

Static Public Member Functions
template<typename T >
static void	generateCartesian (const Point3D< T > &iSupport, const Vector3D< T > &iDirU, const Vector3D< T > &iDirV, Vector3D< T > &oNormal, T &oD)
	Generate cartesian equation out of parametric equation.
template<typename T >
static void	generateDirections (const Vector3D< T > &iNormal, Vector3D< T > &oDirU, Vector3D< T > &oDirV)
	Generate directions vectors U and V of parametric equation P = S + x*U + y*V, based on the normal vector N of the cartesian equation N.P + S == 0.
template<typename T >
static void	generateReciprocal (const Vector3D< T > &iDirU, const Vector3D< T > &iDirV, Vector3D< T > &oReciprocalDirU, Vector3D< T > &oReciprocalDirV)
	generate reciprocal direction vectors Ur and Vr given directions U and V.

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Detailed Description

common implementation stuff for Plane3D implementations.

Author:

Bram de Greve [BdG]

Here are some common generator functions gahtered, that are used to generate some values automatically from others.

Definition at line 66 of file plane_3d_impl_detail.h.

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Member Function Documentation

template<typename T >

static void lass::prim::impl::Plane3DImplDetail::generateCartesian	(	const Point3D< T > &	iSupport,
		const Vector3D< T > &	iDirU,
		const Vector3D< T > &	iDirV,
		Vector3D< T > &	oNormal,
		T &	oD
	)			[inline, static]

Generate cartesian equation out of parametric equation.

Generate normal vector N and value d of cartesian equaition N.P + d == 0, given support point S and direction vectors U and V of parametric equation P = S + x*U + y*V.

Definition at line 74 of file plane_3d_impl_detail.h.

References lass::prim::cross(), lass::prim::dot(), and lass::prim::Point3D< T >::position().

Referenced by lass::prim::impl::Plane3DParametric< T, NormalizingPolicy >::getCartesian(), lass::prim::impl::Plane3DCartesian< T, NormalizingPolicy >::Plane3DCartesian(), and lass::prim::impl::Plane3DCombined< T, NormalizingPolicy >::Plane3DCombined().

template<typename T >

static void lass::prim::impl::Plane3DImplDetail::generateDirections	(	const Vector3D< T > &	iNormal,
		Vector3D< T > &	oDirU,
		Vector3D< T > &	oDirV
	)			[inline, static]

Generate directions vectors U and V of parametric equation P = S + x*U + y*V, based on the normal vector N of the cartesian equation N.P + S == 0.

Definition at line 88 of file plane_3d_impl_detail.h.

References lass::num::abs(), lass::prim::cross(), lass::prim::Vector3D< T >::x, lass::prim::Vector3D< T >::y, and lass::prim::Vector3D< T >::z.

Referenced by lass::prim::impl::Plane3DCartesian< T, NormalizingPolicy >::getDirections(), lass::prim::impl::Plane3DCombined< T, NormalizingPolicy >::Plane3DCombined(), and lass::prim::impl::Plane3DParametric< T, NormalizingPolicy >::Plane3DParametric().

template<typename T >

static void lass::prim::impl::Plane3DImplDetail::generateReciprocal	(	const Vector3D< T > &	iDirU,
		const Vector3D< T > &	iDirV,
		Vector3D< T > &	oReciprocalDirU,
		Vector3D< T > &	oReciprocalDirV
	)			[inline, static]

generate reciprocal direction vectors Ur and Vr given directions U and V.

Reciprocal vectors can be used to find the values x and y in A=x*U+y*V, given A, U and V. With Ur and Vr, they can be found by x=A.Ur and y=A.Vr.

Definition at line 125 of file plane_3d_impl_detail.h.

References lass::prim::dot(), and lass::prim::Vector3D< T >::squaredNorm().

Referenced by lass::prim::impl::Plane3DCombined< T, NormalizingPolicy >::flip(), lass::prim::impl::Plane3DParametric< T, NormalizingPolicy >::getReciprocals(), lass::prim::impl::Plane3DCartesian< T, NormalizingPolicy >::getReciprocals(), lass::prim::impl::Plane3DCombined< T, NormalizingPolicy >::Plane3DCombined(), and lass::prim::Parallelogram3D< T >::uv().

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

• plane_3d_impl_detail.h