gsC1SurfSpline.hpp

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#pragma once
#include<gsUnstructuredSplines/src/gsC1SurfEdge.h>
#include<gsUnstructuredSplines/src/gsC1SurfVertex.h>
 
 
namespace gismo
{
    template<short_t d,class T>
    void gsC1SurfSpline<d,T>::defaultOptions()
    {
        /*
            to do: general
                m_options.addInt("gluingDataDegree","Polynomial degree of the gluing data space", p-1 );
                m_options.addInt("gluingDataSmoothness","Regularity of the gluing data space",  p-2 );
                m_options.addSwitch("info","Print debug information",  false );
                m_options.addSwitch("plot","Print debug information",  false );
        */
    }
 
    template<short_t d,class T>
    void gsC1SurfSpline<d,T>::init()
    {
        // Check requirements
        for (size_t p=0; p!=m_multiBasis.nBases(); p++)
        {
            gsTensorBSplineBasis<d, T> * basis_patch = dynamic_cast<gsTensorBSplineBasis<d, T> *>(&m_patches.basis(p));
            index_t degree;
            for (short_t dd = 0; dd!=d; dd++)
            {
                degree = basis_patch->component(dd).knots().degree();
                GISMO_ENSURE((index_t)(basis_patch->component(dd).knots().size()-2*(degree+1))>=(index_t)(5-degree),"For a degree="<<degree<<" basis, the knot vector should at least have "<<5-degree<<" inner knots, but now it has "<<basis_patch->component(dd).knots().size()-2*(degree+1)<<" inner knots.");
            }
 
            // regularity check (r=p-2)
            // check for AS??
        }
 
        // Fix orientation of each patch
        m_patches.fixOrientation();
 
        m_bases.clear();
        m_bases.reserve(m_patches.nPatches()); // For each Patch
        for (size_t np = 0; np < m_patches.nPatches(); np++)
        {
            // gsContainerBasisBase
            gsContainerBasis<d,T> containerBasis(1); // for 9 subspaces and 4 helper Basis
            m_bases.push_back(containerBasis);
        }
 
 
        // Create interior spline space
        for (size_t np = 0; np < m_patches.nPatches(); np++)
        {
            gsTensorBSplineBasis<d, T> basis_patch = dynamic_cast<gsTensorBSplineBasis<d, T> &>(m_multiBasis.basis(np));
            //gsInfo << "Basis Patch: " << basis_patch.component(0).knots().asMatrix() << "\n";
            m_bases[np].setBasis(0, basis_patch); // Inner
        }
 
        index_t row_dofs = 0;
        // Inner basis
        for (size_t np = 0; np < m_patches.nPatches(); np++)
        {
            index_t dim_u = m_bases[np].piece(0).component(0).size();
            index_t dim_v = m_bases[np].piece(0).component(1).size();
            row_dofs += (dim_u - 4) * (dim_v - 4);
        }
 
        // Interfaces
        for (size_t numInt = 0; numInt < m_patches.interfaces().size(); numInt++)
        {
            index_t dir = m_patches.interfaces()[numInt].first().m_index < 3 ? 1 : 0;
            gsBSplineBasis<T> basis_edge = dynamic_cast<gsBSplineBasis<T> &>(m_multiBasis.basis(m_patches.interfaces()[numInt].first().patch).component(dir)); // If the interface matches!!!
 
            gsBSplineBasis<T> basis_plus(basis_edge);
            basis_plus.elevateContinuity(1);
 
            gsBSplineBasis<T> basis_minus(basis_edge);
            basis_minus.degreeReduce(1);
 
            index_t numDofs = basis_plus.size() + basis_minus.size() - 10;
            row_dofs += numDofs;
        }
 
        // Boundary Edges
        for (size_t numBdy = 0; numBdy < m_patches.boundaries().size(); numBdy++)
        {
            const patchSide &bit = m_patches.boundaries()[numBdy];
 
            index_t patch_1 = bit.patch;
            index_t side_1 = bit.side().index();
 
            index_t dir = side_1 < 3 ? 1 : 0;
            gsBSplineBasis<T> basis_edge = dynamic_cast<gsBSplineBasis<T> &>(m_multiBasis.basis(patch_1).component(dir)); // If the interface matches!!!
 
            gsBSplineBasis<T> basis_plus(basis_edge);
            basis_plus.elevateContinuity(1);
 
            gsBSplineBasis<T> basis_minus(basis_edge);
            basis_minus.degreeReduce(1);
 
            index_t numDofs = basis_plus.size() + basis_minus.size() - 10;
            row_dofs += numDofs;
        }
 
        // Vertices
        for (size_t numVer = 0; numVer < m_patches.vertices().size(); numVer++)
        {
            row_dofs += 6;
        }
 
 
        m_matrix.clear();
        index_t dim_col = 0;
        for (size_t i = 0; i < m_bases.size(); i++)
        {
            dim_col += m_bases[i].size();
        }
 
        m_matrix.resize(row_dofs, dim_col);
        const index_t nz = 7*row_dofs; // TODO
        m_matrix.reserve(nz);
 
//        gsInfo << m_multiBasis << "\n";
//        for (index_t np = 0; np < m_patches.nPatches(); np++)
//            gsInfo << "Basis " << np << " Size: " << m_multiBasis.basis(np).size() << "\n";
//        gsInfo << "Mat dim: (" << row_dofs  << " : " << dim_col << ")\n";
    }
 
 
    template<short_t d,class T>
    void gsC1SurfSpline<d,T>::compute()
    {
        std::vector<gsEigen::Triplet<T,index_t>> tripletList;
        // Compute Inner Basis functions
        index_t shift_row = 0, shift_col = 0;
        for(size_t np = 0; np < m_patches.nPatches(); ++np)
        {
            index_t dim_u = m_bases[np].piece(0).component(0).size();
            index_t dim_v = m_bases[np].piece(0).component(1).size();
 
            index_t row_i = 0;
            for (index_t j = 2; j < dim_v-2; ++j)
                for (index_t i = 2; i < dim_u-2; ++i)
                {
                    tripletList.push_back(gsEigen::Triplet<T,index_t>(shift_row + row_i, shift_col + j*dim_u+i,1));
                    ++row_i;
                }
            shift_row += row_i;
            shift_col += m_bases[np].size();
        }
 
        // Interfaces
        for (size_t numInt = 0; numInt < m_patches.interfaces().size(); numInt++)
        {
            gsC1SurfEdge<d,T> smoothC1Edge(m_patches,m_patches.interfaces()[numInt]);
            smoothC1Edge.computeG1InterfaceBasis();
            std::vector<gsMultiPatch<T>> basisEdge = smoothC1Edge.getBasis();
 
            //gsWriteParaview(basisEdge[0].patch(0),"test_1",2000);
 
            const boundaryInterface & item = m_patches.interfaces()[numInt];
 
            index_t patch_1 = item.first().patch;
            index_t patch_2 = item.second().patch;
 
            index_t begin_col = 0, end_col = 0, shift_col = 0;
            for (index_t np = 0; np < patch_1; ++np)
                shift_col += m_bases[np].size();
 
            end_col += m_bases[patch_1].piece(0).size();
            for (size_t ii = 0; ii < basisEdge[0].nPatches(); ++ii)
            {
                index_t jj = 0;
                for (index_t j = begin_col; j < end_col; ++j, ++jj)
                    if (basisEdge[0].patch(ii).coef(jj, 0) * basisEdge[0].patch(ii).coef(jj, 0) > 1e-25)
                        tripletList.push_back(gsEigen::Triplet<T,index_t>(shift_row + ii, shift_col + j,basisEdge[0].patch(ii).coef(jj, 0)));
            }
 
            begin_col = 0, end_col = 0, shift_col = 0;
            for (index_t np = 0; np < patch_2; ++np)
                shift_col += m_bases[np].size();
 
            end_col += m_bases[patch_2].piece(0).size();
 
            for (size_t ii = 0; ii < basisEdge[1].nPatches(); ++ii)
            {
                index_t jj = 0;
                for (index_t j = begin_col; j < end_col; ++j, ++jj)
                    if (basisEdge[1].patch(ii).coef(jj, 0) * basisEdge[1].patch(ii).coef(jj, 0) > 1e-25)
                        tripletList.push_back(gsEigen::Triplet<T,index_t>(shift_row + ii, shift_col + j,basisEdge[1].patch(ii).coef(jj, 0)));
            }
 
            shift_row += basisEdge[0].nPatches();
 
        }
        // Compute Edge Basis functions
        for (size_t numBdy = 0; numBdy < m_patches.boundaries().size(); numBdy++)
        {
 
            const patchSide & bit = m_patches.boundaries()[numBdy];
 
            index_t patch_1 = bit.patch;
            index_t side_1 = bit.side().index();
 
            gsC1SurfEdge<d,T> smoothC1Edge(m_patches,bit);
            smoothC1Edge.computeG1BoundaryBasis(side_1);
            std::vector<gsMultiPatch<T>> basisEdge = smoothC1Edge.getBasis();
 
            index_t begin_col = 0, end_col = 0, shift_col = 0;
            for (index_t np = 0; np < patch_1; ++np)
                shift_col += m_bases[np].size();
 
            end_col += m_bases[patch_1].piece(0).size();
            for (size_t ii = 0; ii < basisEdge[0].nPatches(); ++ii)
            {
                index_t jj = 0;
                for (index_t j = begin_col; j < end_col; ++j, ++jj)
                    if (basisEdge[0].patch(ii).coef(jj, 0) * basisEdge[0].patch(ii).coef(jj, 0) > 1e-25)
                        tripletList.push_back(gsEigen::Triplet<T,index_t>(shift_row + ii, shift_col + j,basisEdge[0].patch(ii).coef(jj, 0)));
            }
 
            shift_row += basisEdge[0].nPatches();
        }
        // Compute Vertex Basis functions
        for (size_t numVer = 0; numVer < m_patches.vertices().size(); numVer++)
        {
            std::vector<patchCorner> allcornerLists = m_patches.vertices()[numVer];
            std::vector<index_t> patchIndex;
            std::vector<index_t> vertIndex;
            for (size_t j = 0; j < allcornerLists.size(); j++)
            {
                patchIndex.push_back(allcornerLists[j].patch);
                vertIndex.push_back(allcornerLists[j].m_index);
            }
 
            gsC1SurfVertex<d,T> smoothC1Vertex(m_patches, patchIndex, vertIndex);
            smoothC1Vertex.computeG1InternalVertexBasis();
            std::vector<gsMultiPatch<T>> basisVertex = smoothC1Vertex.getBasis();
 
            for(size_t pInd=0; pInd < patchIndex.size(); pInd++)
            {
                index_t begin_col = 0, end_col = 0, shift_col = 0;
                for (index_t np = 0; np < patchIndex[pInd]; ++np)
                    shift_col += m_bases[np].size();
 
                end_col += m_bases[patchIndex[pInd]].piece(0).size();
                for (size_t ii = 0; ii < basisVertex[pInd].nPatches(); ++ii)
                {
                    index_t jj = 0;
                    for (index_t j = begin_col; j < end_col; ++j, ++jj)
                        if (basisVertex[pInd].patch(ii).coef(jj, 0) * basisVertex[pInd].patch(ii).coef(jj, 0) > 1e-25)
                            tripletList.push_back(gsEigen::Triplet<T,index_t>(shift_row + ii, shift_col + j,basisVertex[pInd].patch(ii).coef(jj, 0)));
                }
            }
            shift_row += 6;
        }
        m_matrix.setFromTriplets(tripletList.begin(),tripletList.end());
        m_matrix.makeCompressed();
    }
 
 
} // namespace gismo