searchableSphere.C File Reference

The search for nearest point on an ellipse or ellipsoid follows the description given by Geometric Tools (David Eberly), which also include some pseudo code. The content is CC-BY 4.0. More...

Include dependency graph for searchableSphere.C:

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Namespaces
namespace	Foam
	Namespace for OpenFOAM.

Functions
	defineTypeNameAndDebug (searchableSphere, 0)
	addToRunTimeSelectionTable (searchableSurface, searchableSphere, dict)
	addNamedToRunTimeSelectionTable (searchableSurface, searchableSphere, dict, sphere)
static vector	getRadius (const word &name, const dictionary &dict)
static unsigned	getOctant (const point &p)
static void	applyOctant (point &p, unsigned octant)
static scalar	vectorMagSqr (const scalar x, const scalar y)
static scalar	vectorMagSqr (const scalar x, const scalar y, const scalar z)
static scalar	vectorMag (const scalar x, const scalar y)
static scalar	vectorMag (const scalar x, const scalar y, const scalar z)
static scalar	findRootEllipseDistance (const scalar r0, const scalar z0, const scalar z1, scalar g)
static scalar	findRootEllipsoidDistance (const scalar r0, const scalar r1, const scalar z0, const scalar z1, const scalar z2, scalar g)
static scalar	distanceToEllipse (const scalar e0, const scalar e1, const scalar y0, const scalar y1, scalar &x0, scalar &x1)
static scalar	distanceToEllipsoid (const scalar e0, const scalar e1, const scalar e2, const scalar y0, const scalar y1, const scalar y2, scalar &x0, scalar &x1, scalar &x2)

Variables
static constexpr int	maxIters = 100
static constexpr scalar	tolCloseness = 1e-3

Detailed Description

The search for nearest point on an ellipse or ellipsoid follows the description given by Geometric Tools (David Eberly), which also include some pseudo code. The content is CC-BY 4.0.

Original source file searchableSphere.C

https://www.geometrictools.com/Documentation/DistancePointEllipseEllipsoid.pdf

In the search algorithm, symmetry is exploited and the searching is confined to the first (+x,+y,+z) octant, and the radii are ordered from largest to smallest.

Definition in file searchableSphere.C.