#include <EdgeSizeSimpleImplicit.hpp>

Inheritance diagram for moab::EdgeSizeSimpleImplicit:

Collaboration diagram for moab::EdgeSizeSimpleImplicit:

Public Member Functions
	EdgeSizeSimpleImplicit ()
	Construct an evaluator.
virtual	~EdgeSizeSimpleImplicit ()
	Destruction is virtual so subclasses may clean up after refinement.
virtual bool	evaluate_edge (const double p0, const void t0, double p1, void t1, const double p2, const void t2)
	Given an edge of length L, true when edge midpoint is within $^2$ of $({2f(x,y,z)}{L})^2$.
virtual void	set_implicit_function (double *coeffs)
void	get_implicit_function (double *&coeffs)
virtual void	set_ratio (double r)
	Set the threshold ratio of function value to half-edge length that triggers subdivision.
double	get_ratio ()
	Get the threshold ratio of function value to half-edge length that triggers subdivision.
Protected Attributes
double	coeffA [6]
double	coeffB [3]
double	coeffC
double	ratio

Detailed Description

This is an simple example edge evaluator tha subdivides edges based on their midpoint's distance to a simple, fixed-form implicit surface written as $ x^T A x + B x + C $ where $x$ is a column vector of holding the edge midpoint coordinates, $A$ is a symmetric 3x3 matrix, $B$ is a 1x3 row vector, and $C$ is a scalar. Whenever the implicit function divided by half of the edge length is smaller than some minimum ratio (which defaults to 1), the edge is marked for subdivision.

Author:: David Thompson

Date:: 19 November 2007

Definition at line 38 of file EdgeSizeSimpleImplicit.hpp.

Constructor & Destructor Documentation

moab::EdgeSizeSimpleImplicit::EdgeSizeSimpleImplicit ( )

Construct an evaluator.

Definition at line 6 of file EdgeSizeSimpleImplicit.cpp.

References coeffA, coeffB, coeffC, and ratio.

{
    int i;
    // Default to the plane: x = 0.
    this->coeffC = 0.;
    for( i = 0; i < 3; ++i )
    {
        this->coeffB[i] = this->coeffA[i] = this->coeffA[i + 3] = 0.;
    }
    this->coeffB[0] = 1.;
    // Default to a scaling ratio of 1.
    this->ratio = 1.;
}

moab::EdgeSizeSimpleImplicit::~EdgeSizeSimpleImplicit ( ) [virtual]

Destruction is virtual so subclasses may clean up after refinement.

Definition at line 20 of file EdgeSizeSimpleImplicit.cpp.

{}

Member Function Documentation

bool moab::EdgeSizeSimpleImplicit::evaluate_edge	(	const double *	p0,
		const void *	t0,
		double *	p1,
		void *	t1,
		const double *	p2,
		const void *	t2
	)		`[virtual]`

Given an edge of length L, true when edge midpoint is within $^2$ of $({2f(x,y,z)}{L})^2$.

Implements moab::EdgeSizeEvaluator.

Definition at line 22 of file EdgeSizeSimpleImplicit.cpp.

References coeffA, coeffB, coeffC, and ratio.

{
    (void)t0;
    (void)t1;
    (void)t2;
    double L2 = 0.;
    double delta;
    int i;
    for( i = 0; i < 3; ++i )
    {
        delta = p2[i + 3] - p0[i + 3];
        L2 += delta * delta;
    }
    // parametric coords in p1[{0,1,2}]
    double x  = p1[3];
    double y  = p1[4];
    double z  = p1[5];
    double F2 = this->coeffA[0] * x * x + 2. * this->coeffA[1] * x * y + 2. * this->coeffA[2] * x * z +
                this->coeffA[3] * y * y + 2. * this->coeffA[4] * y * z + this->coeffA[5] * z * z + this->coeffB[0] * x +
                this->coeffB[1] * y + this->coeffB[2] * z + this->coeffC;
    F2        = F2 * F2;  // square it
    double r2 = this->ratio * this->ratio;
    if( 4. * F2 / L2 < r2 ) return true;  // Midpoint is close to surface => split edge

    return false;  // Don't split edge
}

void moab::EdgeSizeSimpleImplicit::get_implicit_function ( double *& coeffs )

Get the 10 coefficients of the implicit function. The vector contains the entries of A, followed by B, followed by C.

Definition at line 67 of file EdgeSizeSimpleImplicit.cpp.

References coeffA, coeffB, and coeffC.

{
    int i;
    // Default to the plane: x = 0.
    for( i = 0; i < 3; ++i )
    {
        coeffs[i]     = this->coeffA[i];
        coeffs[i + 3] = this->coeffA[i + 3];
        coeffs[i + 6] = this->coeffB[i];
    }
    coeffs[9] = this->coeffC;
}

double moab::EdgeSizeSimpleImplicit::get_ratio ( ) [inline]

Get the threshold ratio of function value to half-edge length that triggers subdivision.

Definition at line 69 of file EdgeSizeSimpleImplicit.hpp.

References ratio.

    {
        return this->ratio;
    }

void moab::EdgeSizeSimpleImplicit::set_implicit_function ( double * coeffs ) [virtual]

Set the 10 coefficients of the implicit function. The vector contains the entries of A, followed by B, followed by C.

Definition at line 54 of file EdgeSizeSimpleImplicit.cpp.

References coeffA, coeffB, and coeffC.

{
    int i;
    // Default to the plane: x = 0.
    for( i = 0; i < 3; ++i )
    {
        this->coeffA[i]     = coeffs[i];
        this->coeffA[i + 3] = coeffs[i + 3];
        this->coeffB[i]     = coeffs[i + 6];
    }
    this->coeffC = coeffs[9];
}

virtual void moab::EdgeSizeSimpleImplicit::set_ratio ( double r ) [inline, virtual]

Set the threshold ratio of function value to half-edge length that triggers subdivision.

Definition at line 64 of file EdgeSizeSimpleImplicit.hpp.

References ratio.

Referenced by TestMeshRefiner().