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//============================================================================
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// Copyright (c) Kitware, Inc.
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// All rights reserved.
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// See LICENSE.txt for details.
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// This software is distributed WITHOUT ANY WARRANTY; without even
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// the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
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// PURPOSE. See the above copyright notice for more information.
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//
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// Copyright 2018 National Technology & Engineering Solutions of Sandia, LLC (NTESS).
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// Copyright 2018 UT-Battelle, LLC.
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// Copyright 2018 Los Alamos National Security.
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//
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// Under the terms of Contract DE-NA0003525 with NTESS,
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// the U.S. Government retains certain rights in this software.
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//
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// Under the terms of Contract DE-AC52-06NA25396 with Los Alamos National
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// Laboratory (LANL), the U.S. Government retains certain rights in
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// this software.
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//============================================================================
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#ifndef vtk_m_worklet_cellmetrics_CellAspectGammaMetric_h
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#define vtk_m_worklet_cellmetrics_CellAspectGammaMetric_h
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/*
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* Mesh quality metric functions that compute the aspect ratio of mesh cells.
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** These metric computations are adapted from the VTK implementation of the Verdict library,
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* which provides a set of mesh/cell metrics for evaluating the geometric qualities of regions
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* of mesh spaces.
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** See: The Verdict Library Reference Manual (for per-cell-type metric formulae)
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* See: vtk/ThirdParty/verdict/vtkverdict (for VTK code implementation of this metric)
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*/
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#include "TypeOfCellHexahedral.h"
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#include "TypeOfCellQuadrilateral.h"
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#include "TypeOfCellTetrahedral.h"
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#include "TypeOfCellTriangle.h"
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#include "vtkm/CellShape.h"
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#include "vtkm/CellTraits.h"
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#include "vtkm/VecTraits.h"
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#include "vtkm/VectorAnalysis.h"
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#include "vtkm/exec/FunctorBase.h"
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#define UNUSED(expr) (void)(expr);
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namespace vtkm
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{
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namespace worklet
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{
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namespace cellmetrics
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{
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// ========================= Unsupported cells ==================================
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// By default, cells have zero shape unless the shape type template is specialized below.
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template <typename OutType, typename PointCoordVecType, typename CellShapeType>
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VTKM_EXEC OutType CellAspectGammaMetric(const vtkm::IdComponent& numPts,
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const PointCoordVecType& pts,
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CellShapeType shape,
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2020-04-16 16:54:43 +00:00
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vtkm::ErrorCode&)
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{
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UNUSED(numPts);
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UNUSED(pts);
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UNUSED(shape);
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return OutType(0);
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}
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// ============================= 3D Volume cells ==================================
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// Compute the aspect ratio of a tetrahedron.
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template <typename OutType, typename PointCoordVecType>
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VTKM_EXEC OutType CellAspectGammaMetric(const vtkm::IdComponent& numPts,
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const PointCoordVecType& pts,
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vtkm::CellShapeTagTetra,
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vtkm::ErrorCode& ec)
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{
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if (numPts != 4)
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{
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2020-04-16 16:54:43 +00:00
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ec = vtkm::ErrorCode::InvalidNumberOfPoints;
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return OutType(0.0);
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}
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using Scalar = OutType;
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using CollectionOfPoints = PointCoordVecType;
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using Vector = typename PointCoordVecType::ComponentType;
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const Scalar volume = GetTetraVolume<Scalar, Vector, CollectionOfPoints>(pts);
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const Scalar vAbs = vtkm::Abs(volume);
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if (vAbs <= Scalar(0.0))
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{
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return vtkm::Infinity<Scalar>();
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}
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const Scalar six = Scalar(6.0);
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const Scalar l0 = GetTetraL0Magnitude<Scalar, Vector, CollectionOfPoints>(pts);
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const Scalar l1 = GetTetraL1Magnitude<Scalar, Vector, CollectionOfPoints>(pts);
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const Scalar l2 = GetTetraL2Magnitude<Scalar, Vector, CollectionOfPoints>(pts);
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const Scalar l3 = GetTetraL3Magnitude<Scalar, Vector, CollectionOfPoints>(pts);
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const Scalar l4 = GetTetraL4Magnitude<Scalar, Vector, CollectionOfPoints>(pts);
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const Scalar l5 = GetTetraL5Magnitude<Scalar, Vector, CollectionOfPoints>(pts);
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const Scalar R = vtkm::Sqrt((vtkm::Pow(l0, 2) + vtkm::Pow(l1, 2) + vtkm::Pow(l2, 2) +
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vtkm::Pow(l3, 2) + vtkm::Pow(l4, 2) + vtkm::Pow(l5, 2)) /
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six);
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const Scalar rootTwo(vtkm::Sqrt(Scalar(2.0)));
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const Scalar twelve(12.0);
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const Scalar q = (vtkm::Pow(R, 3) * rootTwo) / (twelve * vAbs);
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return q;
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}
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} // namespace cellmetrics
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} // namespace worklet
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} // namespace vtkm
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#endif // vtk_m_worklet_cellmetrics_CellAspectGammaMetric_h
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