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/*=========================================================================
*
* Copyright Insight Software Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0.txt
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*
*=========================================================================*/
#ifndef itkFEMElement2DC0LinearLine_h
#define itkFEMElement2DC0LinearLine_h
#include "itkFEMElementStd.h"
#include "ITKFEMExport.h"
namespace itk
{
namespace fem
{
/**
* \class Element2DC0LinearLine
* \brief 2-noded, linear, C0 continuous line element in 2D space.
* takes loads only along the length of the axis
* \ingroup ITKFEM
*/
class ITKFEM_EXPORT Element2DC0LinearLine : public ElementStd<2, 2>
{
public:
/** Standard class typedefs. */
typedef Element2DC0LinearLine Self;
typedef ElementStd<2, 2> TemplatedParentClass;
typedef TemplatedParentClass Superclass;
typedef SmartPointer<Self> Pointer;
typedef SmartPointer<const Self> ConstPointer;
/** Run-time type information (and related methods). */
itkTypeMacro(Element2DC0LinearLine, TemplatedParentClass);
// ////////////////////////////////////////////////////////////////////////
/**
* Methods related to numeric integration
*/
enum { DefaultIntegrationOrder = 1 };
/** Get the Integration point and weight */
virtual void GetIntegrationPointAndWeight(unsigned int i,
VectorType & pt,
Float & w,
unsigned int order) const ITK_OVERRIDE;
/** Get the number of integration points */
virtual unsigned int GetNumberOfIntegrationPoints(unsigned int order) const ITK_OVERRIDE;
// ////////////////////////////////////////////////////////////////////////
/**
* Methods related to the geometry of an element
*/
/** Return the shape functions used to interpolate across the element */
virtual VectorType ShapeFunctions(const VectorType & pt) const ITK_OVERRIDE;
/** Return the shape functions derivatives in the shapeD matrix */
virtual void ShapeFunctionDerivatives(const VectorType & pt, MatrixType & shapeD) const ITK_OVERRIDE;
/**
* Get parametric/local coordinates given global coordinates. The function returns true if the
* global coordinate is within the element else returns false.
* For a line, line length*1e-4 is used as the tolerance
*/
virtual bool GetLocalFromGlobalCoordinates(const VectorType & globalPt,
VectorType & localPt) const ITK_OVERRIDE;
/**
* We need to provide our own implementation of calculating Jacobian,
* because the element lives in 2D space and has only one dimension.
* The default implementation of Jacobian in the Element base class
* is not correct since it assumes that the number of element dimensions
* is equal to the number of spatial dimensions.
*
* Jacobian is a scalar for this element.
*/
virtual void Jacobian(const VectorType & pt, MatrixType & J, const MatrixType *pshapeD = ITK_NULLPTR) const ITK_OVERRIDE;
/**
* Distance of a point to a line.(Used in GetLocalFromGlobalCoordinates ).
*/
Float DistanceToLine(const VectorType & x, const VectorType & p1, const VectorType & p2, Float & t,
VectorType & closestPoint) const;
protected:
virtual void PrintSelf(std::ostream& os, Indent indent) const ITK_OVERRIDE;
virtual void PopulateEdgeIds(void) ITK_OVERRIDE; // HACK: Should PopulateEdgeIds
// be const or not in this
// hierarchy. Sometimes it is,
// sometimes it is not.
};
}
} // end namespace itk::fem
#endif // #ifndef itkFEMElement2DC0LinearLine_h
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