/*========================================================================= * * Copyright NumFOCUS * * 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 * * https://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 itkQuadraticTriangleCell_hxx #define itkQuadraticTriangleCell_hxx #include // For copy_n. namespace itk { /** * Standard CellInterface: */ template void QuadraticTriangleCell::MakeCopy(CellAutoPointer & cellPointer) const { cellPointer.TakeOwnership(new Self); cellPointer->SetPointIds(this->GetPointIds()); } /** * Standard CellInterface: * Get the topological dimension of this cell. */ template unsigned int QuadraticTriangleCell::GetDimension() const { return Self::CellDimension; } /** * Standard CellInterface: * Get the number of points required to define the cell. */ template unsigned int QuadraticTriangleCell::GetNumberOfPoints() const { return Self::NumberOfPoints; } /** * Standard CellInterface: * Get the number of boundary features of the given dimension. */ template auto QuadraticTriangleCell::GetNumberOfBoundaryFeatures(int dimension) const -> CellFeatureCount { switch (dimension) { case 0: return GetNumberOfVertices(); case 1: return GetNumberOfEdges(); default: return 0; } } /** * Standard CellInterface: * Get the boundary feature of the given dimension specified by the given * cell feature Id. * The Id can range from 0 to GetNumberOfBoundaryFeatures(dimension)-1. */ template bool QuadraticTriangleCell::GetBoundaryFeature(int dimension, CellFeatureIdentifier featureId, CellAutoPointer & cellPointer) { switch (dimension) { case 0: { VertexAutoPointer vertexPointer; if (this->GetVertex(featureId, vertexPointer)) { TransferAutoPointer(cellPointer, vertexPointer); return true; } break; } case 1: { EdgeAutoPointer edgePointer; if (this->GetEdge(featureId, edgePointer)) { TransferAutoPointer(cellPointer, edgePointer); return true; } break; } default: break; // just fall through } cellPointer.Reset(); return false; } /** * Standard CellInterface: * Set the point id list used by the cell. It is assumed that the given * iterator can be incremented and safely de-referenced enough times to * get all the point ids needed by the cell. */ template void QuadraticTriangleCell::SetPointIds(PointIdConstIterator first) { std::copy_n(first, Self::NumberOfPoints, m_PointIds.begin()); } /** * Standard CellInterface: * Set the point id list used by the cell. It is assumed that the range * of iterators [first, last) contains the correct number of points needed to * define the cell. The position *last is NOT referenced, so it can safely * be one beyond the end of an array or other container. */ template void QuadraticTriangleCell::SetPointIds(PointIdConstIterator first, PointIdConstIterator last) { int localId = 0; PointIdConstIterator ii(first); while (ii != last) { m_PointIds[localId++] = *ii++; } } /** * Standard CellInterface: * Set an individual point identifier in the cell. */ template void QuadraticTriangleCell::SetPointId(int localId, PointIdentifier ptId) { m_PointIds[localId] = ptId; } /** * Standard CellInterface: * Get a begin iterator to the list of point identifiers used by the cell. */ template auto QuadraticTriangleCell::PointIdsBegin() -> PointIdIterator { return &m_PointIds[0]; } /** * Standard CellInterface: * Get a const begin iterator to the list of point identifiers used * by the cell. */ template auto QuadraticTriangleCell::PointIdsBegin() const -> PointIdConstIterator { return &m_PointIds[0]; } /** * Standard CellInterface: * Get an end iterator to the list of point identifiers used by the cell. */ template auto QuadraticTriangleCell::PointIdsEnd() -> PointIdIterator { return &m_PointIds[Self::NumberOfPoints - 1] + 1; } /** * Standard CellInterface: * Get a const end iterator to the list of point identifiers used * by the cell. */ template auto QuadraticTriangleCell::PointIdsEnd() const -> PointIdConstIterator { return &m_PointIds[Self::NumberOfPoints - 1] + 1; } /** * Triangle-specific: * Get the number of vertices defining the triangle. */ template auto QuadraticTriangleCell::GetNumberOfVertices() const -> CellFeatureCount { return Self::NumberOfVertices; } /** * Triangle-specific: * Get the number of edges defined for the triangle. */ template auto QuadraticTriangleCell::GetNumberOfEdges() const -> CellFeatureCount { return Self::NumberOfEdges; } /** * Triangle-specific: * Get the vertex specified by the given cell feature Id. * The Id can range from 0 to GetNumberOfVertices()-1. */ template bool QuadraticTriangleCell::GetVertex(CellFeatureIdentifier vertexId, VertexAutoPointer & vertexPointer) { auto * vert = new VertexType; vert->SetPointId(0, m_PointIds[vertexId]); vertexPointer.TakeOwnership(vert); return true; } /** * Triangle-specific: * Get the edge specified by the given cell feature Id. * The Id can range from 0 to GetNumberOfEdges()-1. */ template bool QuadraticTriangleCell::GetEdge(CellFeatureIdentifier edgeId, EdgeAutoPointer & edgePointer) { auto * edge = new EdgeType; for (unsigned int i = 0; i < EdgeType::NumberOfPoints; ++i) { edge->SetPointId(i, m_PointIds[m_Edges[edgeId][i]]); } edgePointer.TakeOwnership(edge); return true; } /** Given the parametric coordinates of a point in the cell * determine the value of its Shape Functions * returned through an itkArray). */ template void QuadraticTriangleCell::EvaluateShapeFunctions(const ParametricCoordArrayType & parametricCoordinates, ShapeFunctionsArrayType & weights) const { if (parametricCoordinates.size() != 3) { itkGenericExceptionMacro("QuadraticTriangleCell expect three coordinates"); } const double L1 = parametricCoordinates[0]; const double L2 = parametricCoordinates[1]; const double L3 = parametricCoordinates[2]; weights = ShapeFunctionsArrayType(6); weights[0] = L1 * (2.0 * L1 - 1.0); weights[1] = L2 * (2.0 * L2 - 1.0); weights[2] = L3 * (2.0 * L3 - 1.0); weights[3] = 4.0 * L1 * L3; weights[4] = 4.0 * L1 * L2; weights[5] = 4.0 * L2 * L3; } } // end namespace itk #endif