// SPDX-FileCopyrightText: Copyright (c) Ken Martin, Will Schroeder, Bill Lorensen // SPDX-License-Identifier: BSD-3-Clause #include "vtkBezierTriangle.h" #include "vtkBezierInterpolation.h" #include "vtkBezierCurve.h" #include "vtkCellArray.h" #include "vtkCellData.h" #include "vtkDataSet.h" #include "vtkDoubleArray.h" #include "vtkIncrementalPointLocator.h" #include "vtkLine.h" #include "vtkMath.h" #include "vtkObjectFactory.h" #include "vtkPointData.h" #include "vtkPoints.h" #include "vtkTriangle.h" #include "vtkVector.h" #define ENABLE_CACHING #define SEVEN_POINT_TRIANGLE VTK_ABI_NAMESPACE_BEGIN vtkStandardNewMacro(vtkBezierTriangle); //------------------------------------------------------------------------------ vtkBezierTriangle::vtkBezierTriangle() = default; //------------------------------------------------------------------------------ vtkBezierTriangle::~vtkBezierTriangle() = default; void vtkBezierTriangle::PrintSelf(ostream& os, vtkIndent indent) { this->Superclass::PrintSelf(os, indent); } vtkCell* vtkBezierTriangle::GetEdge(int edgeId) { vtkBezierCurve* result = EdgeCell; if (this->GetRationalWeights()->GetNumberOfTuples() > 0) { const auto set_number_of_ids_and_points = [&](const vtkIdType& npts) -> void { result->Points->SetNumberOfPoints(npts); result->PointIds->SetNumberOfIds(npts); result->GetRationalWeights()->SetNumberOfTuples(npts); }; const auto set_ids_and_points = [&](const vtkIdType& edge_id, const vtkIdType& vol_id) -> void { result->Points->SetPoint(edge_id, this->Points->GetPoint(vol_id)); result->PointIds->SetId(edge_id, this->PointIds->GetId(vol_id)); result->GetRationalWeights()->SetValue(edge_id, this->GetRationalWeights()->GetValue(vol_id)); }; this->SetEdgeIdsAndPoints(edgeId, set_number_of_ids_and_points, set_ids_and_points); } else { const auto set_number_of_ids_and_points = [&](const vtkIdType& npts) -> void { result->Points->SetNumberOfPoints(npts); result->PointIds->SetNumberOfIds(npts); result->GetRationalWeights()->Reset(); }; const auto set_ids_and_points = [&](const vtkIdType& edge_id, const vtkIdType& vol_id) -> void { result->Points->SetPoint(edge_id, this->Points->GetPoint(vol_id)); result->PointIds->SetId(edge_id, this->PointIds->GetId(vol_id)); }; this->SetEdgeIdsAndPoints(edgeId, set_number_of_ids_and_points, set_ids_and_points); } return result; } /**\brief Set the rational weight of the cell, given a vtkDataSet */ void vtkBezierTriangle::SetRationalWeightsFromPointData(vtkPointData* point_data, vtkIdType numPts) { vtkDataArray* v = point_data->GetRationalWeights(); if (v) { this->GetRationalWeights()->SetNumberOfTuples(numPts); for (vtkIdType i = 0; i < numPts; i++) { this->GetRationalWeights()->SetValue(i, v->GetTuple1(this->PointIds->GetId(i))); } } else this->GetRationalWeights()->Reset(); } //------------------------------------------------------------------------------ void vtkBezierTriangle::InterpolateFunctions(const double pcoords[3], double* weights) { constexpr int dim = 2; const int deg = GetOrder(); const vtkIdType nPoints = this->GetPoints()->GetNumberOfPoints(); std::vector coeffs(nPoints, 0.0); vtkBezierInterpolation::DeCasteljauSimplex(dim, deg, pcoords, coeffs.data()); for (vtkIdType i = 0; i < nPoints; ++i) { vtkVector3i bv = vtkBezierInterpolation::UnFlattenSimplex(dim, deg, i); vtkIdType lbv[3] = { bv[0], bv[1], bv[2] }; weights[Index(lbv, deg)] = coeffs[i]; } // If the unit cell has rational weights: weights_i = weights_i * rationalWeights / sum( weights_i // * rationalWeights ) const bool has_rational_weights = RationalWeights->GetNumberOfTuples() > 0; if (has_rational_weights) { double w = 0; for (vtkIdType idx = 0; idx < nPoints; ++idx) { weights[idx] *= RationalWeights->GetTuple1(idx); w += weights[idx]; } const double one_over_rational_weight = 1. / w; for (vtkIdType idx = 0; idx < nPoints; ++idx) weights[idx] *= one_over_rational_weight; } } //------------------------------------------------------------------------------ void vtkBezierTriangle::InterpolateDerivs(const double pcoords[3], double* derivs) { constexpr int dim = 2; const int deg = GetOrder(); const vtkIdType nPoints = this->GetPoints()->GetNumberOfPoints(); std::vector coeffs(nPoints, 0.0); vtkBezierInterpolation::DeCasteljauSimplexDeriv(dim, deg, pcoords, coeffs.data()); for (vtkIdType i = 0; i < nPoints; ++i) { vtkVector3i bv = vtkBezierInterpolation::UnFlattenSimplex(dim, deg, i); vtkIdType lbv[3] = { bv[0], bv[1], bv[2] }; for (int j = 0; j < dim; ++j) { derivs[j * nPoints + Index(lbv, deg)] = coeffs[j * nPoints + i]; } } } vtkDoubleArray* vtkBezierTriangle::GetRationalWeights() { return RationalWeights.Get(); } vtkHigherOrderCurve* vtkBezierTriangle::GetEdgeCell() { return EdgeCell; } VTK_ABI_NAMESPACE_END