feibspline.h

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/*
 *
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 *               ##   ##  ##   ##  ##      ##      ## ### ##
 *              ##   ##  ##   ##  ####    ####    ##  #  ##
 *             ##   ##  ##   ##  ##      ##      ##     ##
 *            ##   ##  ##   ##  ##      ##      ##     ##
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 *
 *
 *             OOFEM : Object Oriented Finite Element Code
 *
 *               Copyright (C) 1993 - 2025   Borek Patzak
 *
 *
 *
 *       Czech Technical University, Faculty of Civil Engineering,
 *   Department of Structural Mechanics, 166 29 Prague, Czech Republic
 *
 *  This library is free software; you can redistribute it and/or
 *  modify it under the terms of the GNU Lesser General Public
 *  License as published by the Free Software Foundation; either
 *  version 2.1 of the License, or (at your option) any later version.
 *
 *  This program is distributed in the hope that it will be useful,
 *  but WITHOUT ANY WARRANTY; without even the implied warranty of
 *  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
 *  Lesser General Public License for more details.
 *
 *  You should have received a copy of the GNU Lesser General Public
 *  License along with this library; if not, write to the Free Software
 *  Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301  USA
 */
 
#ifndef feibspline_h
#define feibspline_h
 
#include "feinterpol.h"
#include "floatarray.h"
#include <array>


#define _IFT_BSplineInterpolation_degree "degree"
#define _IFT_BSplineInterpolation_knotVectorU "knotvectoru"
#define _IFT_BSplineInterpolation_knotVectorV "knotvectorv"
#define _IFT_BSplineInterpolation_knotVectorW "knotvectorw"
#define _IFT_BSplineInterpolation_knotMultiplicityU "knotmultiplicityu"
#define _IFT_BSplineInterpolation_knotMultiplicityV "knotmultiplicityv"
#define _IFT_BSplineInterpolation_knotMultiplicityW "knotmultiplicityw"
 
namespace oofem {
class FloatMatrix;
class FloatArray;
class IntArray;
class ParamKey;

class OOFEM_EXPORT BSplineInterpolation : public FEInterpolation
{
protected:
    int nsd;
    std::array<int, 3> degree;                                   // eg. 2
    std::array<FloatArray, 3> knotValues;                        // eg. 0 1 2 3 4 5
    std::array<IntArray, 3> knotMultiplicity;                    // eg. 3 1 1 1 2 3

    std::array<int, 3> numberOfControlPoints;
    std::array<FloatArray, 3> knotVector;                           // eg. 0 0 0 1 2 3 4 4 5 5 5
    std::array<int, 3> numberOfKnotSpans;                        // eg. 5 (0-1,1-2,2-3,3-4,4-5)
 
    static ParamKey IPK_BSplineInterpolation_degree;
    static ParamKey IPK_BSplineInterpolation_knotVectorU;
    static ParamKey IPK_BSplineInterpolation_knotVectorV;
    static ParamKey IPK_BSplineInterpolation_knotVectorW;
    static ParamKey IPK_BSplineInterpolation_knotMultiplicityU;
    static ParamKey IPK_BSplineInterpolation_knotMultiplicityV;
    static ParamKey IPK_BSplineInterpolation_knotMultiplicityW;
 
public:
    BSplineInterpolation(int nsd) : FEInterpolation(0),
        nsd(nsd)
    {}
 
    integrationDomain giveIntegrationDomain(const Element_Geometry_Type egt) const override {
        if ( nsd == 3 ) {
            return _Cube;
        } else if ( nsd == 2 ) {
            return _Square;
        } else if ( nsd == 1 ) {
            return _Line;
        } else {
            return _UnknownIntegrationDomain;
        }
    }
    const Element_Geometry_Type giveGeometryType() const override { return EGT_unknown; }
    const Element_Geometry_Type giveBoundaryGeometryType(int boundary) const override { return EGT_unknown; } 
 
 
    integrationDomain giveBoundaryIntegrationDomain(int ib, const Element_Geometry_Type) const override {
        if ( nsd == 3 ) {
            return _Square;
        } else if ( nsd == 2 ) {
            return _Line;
        } else if ( nsd == 1 ) {
            return _Point;
        } else {
            return _UnknownIntegrationDomain;
        }
    }
    integrationDomain giveBoundarySurfaceIntegrationDomain(int isurf, const Element_Geometry_Type) const override {
        if ( nsd == 3 ) {
            return _Square;
        } else if ( nsd == 2 ) {
            return _Square;
        } else {
            return _UnknownIntegrationDomain;
        }
    }
    integrationDomain giveBoundaryEdgeIntegrationDomain(int iedge, const Element_Geometry_Type) const override {
        if ( nsd >= 2 ) {
            return _Line;
        } else {
            return _UnknownIntegrationDomain;
        }
    }
 
    int giveNsd(const Element_Geometry_Type)  const override { return nsd; }
    void initializeFrom(InputRecord &ir, ParameterManager&pm, int elnum, int priority) override;
    void postInitialize(ParameterManager&pm, int elnum) override;
 
    IntArray boundaryEdgeGiveNodes(int boundary, const Element_Geometry_Type, bool includeHierarchical=false) const override
    { OOFEM_ERROR("Functions not supported for this interpolator.");}
    void boundaryEdgeEvalN(FloatArray &answer, int boundary, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override
    { OOFEM_ERROR("Functions not supported for this interpolator."); }
    double boundaryEdgeGiveTransformationJacobian(int boundary, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override
    { OOFEM_ERROR("Functions not supported for this interpolator.");}
    void boundaryEdgeLocal2Global(FloatArray &answer, int boundary, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override
    { OOFEM_ERROR("Functions not supported for this interpolator."); }
    double boundaryEdgeEvalNormal(FloatArray &answer, int isurf, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override
    { OOFEM_ERROR("Functions not supported for this interpolator."); }
 

    void boundarySurfaceEvalN(FloatArray &answer, int isurf, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override
    { OOFEM_ERROR("Functions not supported for this interpolator."); }
    void boundarySurfaceEvaldNdx(FloatMatrix &answer, int isurf, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override
    { OOFEM_ERROR("Functions not supported for this interpolator."); }
    double boundarySurfaceEvalNormal(FloatArray &answer, int isurf, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override
    { OOFEM_ERROR("Functions not supported for this interpolator."); }
    void boundarySurfaceLocal2global(FloatArray &answer, int isurf, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override
    { OOFEM_ERROR("Functions not supported for this interpolator."); }
    double boundarySurfaceGiveTransformationJacobian(int isurf, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override
    { OOFEM_ERROR("Functions not supported for this interpolator."); }
    IntArray boundarySurfaceGiveNodes(int boundary, const Element_Geometry_Type, bool includeHierarchical=false) const override
    { OOFEM_ERROR("Functions not supported for this interpolator.");}

 
 
    IntArray boundaryGiveNodes(int boundary, const Element_Geometry_Type) const override
    { OOFEM_ERROR("Not implemented"); }
    void boundaryEvalN(FloatArray &answer, int boundary, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override
    { OOFEM_ERROR("Not implemented"); }
    double boundaryEvalNormal(FloatArray &answer, int boundary, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override
    { OOFEM_ERROR("Not implemented"); }
    double boundaryGiveTransformationJacobian(int boundary, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override
    { OOFEM_ERROR("boundaryGiveTransformationJacobian - Not implemented"); }
    void boundaryLocal2Global(FloatArray &answer, int boundary, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override
    { OOFEM_ERROR("boundaryLocal2Global - Not implemented"); }
 
 
    int giveNumberOfKnotSpans(int dim) const override { return numberOfKnotSpans [ dim - 1 ]; }
    virtual int giveNumberOfControlPoints(int dim) const { return numberOfControlPoints [ dim - 1 ]; }
    const FloatArray *giveKnotVector()  const override {
        return this->knotVector.data();
    }
    const IntArray *giveKnotMultiplicity(int dim) const override { return & this->knotMultiplicity [ dim - 1 ]; }
    const FloatArray *giveKnotValues(int dim) const override { return & this->knotValues [ dim - 1 ]; }
    void evalN(FloatArray &answer, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override;
    double evaldNdx(FloatMatrix &answer, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override;
    void local2global(FloatArray &answer, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override;
    int global2local(FloatArray &answer, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override {
        OOFEM_ERROR("Not yet implemented.");
    }
    void giveJacobianMatrixAt(FloatMatrix &jacobianMatrix, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override;
    int giveKnotSpanBasisFuncMask(const IntArray &knotSpan, IntArray &mask) const override;
    int giveNumberOfKnotSpanBasisFunctions(const IntArray &knotSpan) const override;
 
    const char *giveClassName() const { return "BSplineInterpolation"; }
    bool hasSubPatchFormulation() const override { return true; }
 
    std::unique_ptr<IntegrationRule> giveIntegrationRule(int order, const Element_Geometry_Type) const override
    { OOFEM_ERROR("Not supported."); }
    std::unique_ptr<IntegrationRule> giveBoundaryIntegrationRule(int order, int boundary, Element_Geometry_Type) const override
    { OOFEM_ERROR("Not supported."); }
    std::unique_ptr<IntegrationRule> giveBoundaryEdgeIntegrationRule(int order, int boundary, Element_Geometry_Type) const override
    { OOFEM_ERROR("Not supported."); }
 
protected:
    void basisFuns(FloatArray &N, int span, double u, int p, const FloatArray &U) const;
    void dersBasisFuns(int n, double u, int span, int p, const FloatArray &U, FloatMatrix &ders) const;
    int findSpan(int n, int p, double u, const FloatArray &U) const;
    void giveNonzeroBasisFuncInterval(int span, int deg, int &s, int &e) const {
        s = span - deg;
        e = span;
    }
};
} // end namespace oofem
#endif // feibspline_h