artisynth.core.mfreemodels

Class MLSShapeFunction

java.lang.Object

artisynth.core.mfreemodels.MLSShapeFunction

All Implemented Interfaces:

MFreeShapeFunction

Direct Known Subclasses:

GMLSShapeFunction

public class MLSShapeFunction
extends java.lang.Object
implements MFreeShapeFunction

Field Summary

Fields

Modifier and Type	Field and Description
static int	CONSTANT_ORDER
static int	LINEAR_ORDER
static int	QUADRATIC_ORDER
static int	SHEPARD

Constructor Summary

Constructors

Constructor and Description
MLSShapeFunction()

Method Summary

Modifier and Type	Method and Description
void	computeDDM(MatrixNd DM, int di, int dj, Point3d pnt, MFreeNode3d[] nodeList)
void	computeDDMInv(MatrixNd DDMInv, int di, int dj, MatrixNd MInv, Point3d pnt, MFreeNode3d[] nodeList)
void	computeDM(MatrixNd DM, int dIdx, Point3d pnt, MFreeNode3d[] nodeList)
void	computeDMInv(MatrixNd DMInv, int di, MatrixNd MInv, Point3d pnt, MFreeNode3d[] nodeList)
void	computeM(MatrixNd M, Point3d pnt, MFreeNode3d[] nodeList)
double	computeMInv(MatrixNd MInv, Point3d pnt, MFreeNode3d[] nodeList)
void	computePtMInv(VectorNd pTMInv, MatrixNd MInv, Point3d pnt, MFreeNode3d[] nodeList)
double	eval(int nidx) Returns the value of the i'th shape function (related to node i)
double	eval(MFreeNode3d node, MFreeNode3d[] nodes, Point3d pnt)
double	eval(MFreeNode3d node, MFreeNode3d[] nodes, Point3d pnt, MatrixNd MInv)
void	eval(VectorNd N) Compute all shape functions at once
void	evalDerivative(int nidx, Vector3d dNds) Returns the value of the i'th shape function derivatives
double	evalDerivative(MFreeNode3d node, MFreeNode3d[] nodes, Point3d in, int[] derivatives)
double	evalDerivative(MFreeNode3d node, MFreeNode3d[] nodes, Point3d in, int[] derivatives, MatrixNd MInv)
Point3d	getCoordinate() Current coordinate to be used for evaluation
MFreeNode3d[]	getNodes() Current nodes used for evaluation
static DifferentiableFunction3x1[]	getPolynomialBasis(int order)
boolean	maybeUpdate(Vector3d coords, MFreeNode3d[] nodes) Update only if coords and nodes are different
void	setBasisFunctions(DifferentiableFunction3x1[] functions)
void	update(Point3d pnt, MFreeNode3d[] nodes) Update internals for computing the shape function value and derivatives at the given point

Methods inherited from class java.lang.Object

equals, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Field Detail

CONSTANT_ORDER

public static final int CONSTANT_ORDER

See Also:

Constant Field Values

SHEPARD

public static final int SHEPARD

See Also:

Constant Field Values

LINEAR_ORDER

public static final int LINEAR_ORDER

See Also:

Constant Field Values

QUADRATIC_ORDER

public static final int QUADRATIC_ORDER

See Also:

Constant Field Values

Constructor Detail

MLSShapeFunction

public MLSShapeFunction()

Method Detail

setBasisFunctions

public void setBasisFunctions(DifferentiableFunction3x1[] functions)

getPolynomialBasis

public static DifferentiableFunction3x1[] getPolynomialBasis(int order)

computeM

public void computeM(MatrixNd M,
                     Point3d pnt,
                     MFreeNode3d[] nodeList)

computeMInv

public double computeMInv(MatrixNd MInv,
                          Point3d pnt,
                          MFreeNode3d[] nodeList)

computePtMInv

public void computePtMInv(VectorNd pTMInv,
                          MatrixNd MInv,
                          Point3d pnt,
                          MFreeNode3d[] nodeList)

eval

public double eval(MFreeNode3d node,
                   MFreeNode3d[] nodes,
                   Point3d pnt,
                   MatrixNd MInv)

maybeUpdate

public boolean maybeUpdate(Vector3d coords,
                           MFreeNode3d[] nodes)

Description copied from interface: MFreeShapeFunction

Update only if coords and nodes are different

Specified by:

maybeUpdate in interface MFreeShapeFunction

Parameters:

coords - natural coordinates

nodes - nodes for shape function

Returns:

true if updated

update

public void update(Point3d pnt,
                   MFreeNode3d[] nodes)

Description copied from interface: MFreeShapeFunction

Update internals for computing the shape function value and derivatives at the given point

Specified by:

update in interface MFreeShapeFunction

Parameters:

pnt - point at which to evaluate shape functions

nodes - dependent nodes

eval

public double eval(int nidx)

Description copied from interface: MFreeShapeFunction

Returns the value of the i'th shape function (related to node i)

Specified by:

eval in interface MFreeShapeFunction

Parameters:

nidx - node index

Returns:

computed value

eval

public double eval(MFreeNode3d node,
                   MFreeNode3d[] nodes,
                   Point3d pnt)

computeDDMInv

public void computeDDMInv(MatrixNd DDMInv,
                          int di,
                          int dj,
                          MatrixNd MInv,
                          Point3d pnt,
                          MFreeNode3d[] nodeList)

computeDMInv

public void computeDMInv(MatrixNd DMInv,
                         int di,
                         MatrixNd MInv,
                         Point3d pnt,
                         MFreeNode3d[] nodeList)

computeDDM

public void computeDDM(MatrixNd DM,
                       int di,
                       int dj,
                       Point3d pnt,
                       MFreeNode3d[] nodeList)

computeDM

public void computeDM(MatrixNd DM,
                      int dIdx,
                      Point3d pnt,
                      MFreeNode3d[] nodeList)

evalDerivative

public double evalDerivative(MFreeNode3d node,
                             MFreeNode3d[] nodes,
                             Point3d in,
                             int[] derivatives,
                             MatrixNd MInv)

evalDerivative

public void evalDerivative(int nidx,
                           Vector3d dNds)

Description copied from interface: MFreeShapeFunction

Returns the value of the i'th shape function derivatives

Specified by:

evalDerivative in interface MFreeShapeFunction

Parameters:

nidx - node index

dNds - derivatives (d/dx, d/dy, d/dz)

evalDerivative

public double evalDerivative(MFreeNode3d node,
                             MFreeNode3d[] nodes,
                             Point3d in,
                             int[] derivatives)

getCoordinate

public Point3d getCoordinate()

Description copied from interface: MFreeShapeFunction

Current coordinate to be used for evaluation

Specified by:

getCoordinate in interface MFreeShapeFunction

Returns:

current coordinate

getNodes

public MFreeNode3d[] getNodes()

Description copied from interface: MFreeShapeFunction

Current nodes used for evaluation

Specified by:

getNodes in interface MFreeShapeFunction

Returns:

nodes affecting shape function

eval

public void eval(VectorNd N)

Compute all shape functions at once

Parameters:

N - shape function values