mirror of
https://gitlab.kitware.com/vtk/vtk-m
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188 lines
7.0 KiB
C++
188 lines
7.0 KiB
C++
//============================================================================
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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_CellAspectRatioMetric_h
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#define vtk_m_worklet_cellmetrics_CellAspectRatioMetric_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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// The Verdict Manual and the Implementation have conflicting definitions.
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// This duplicates the Verdict implementation in the VTKm Paradigm, with prior Manual
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// definitions commented out when formerly coded.
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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 CellAspectRatioMetric(const vtkm::IdComponent& numPts,
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const PointCoordVecType& pts,
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CellShapeType shape,
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const vtkm::exec::FunctorBase&)
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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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// ========================= 2D cells ==================================
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// Compute the diagonal ratio of a triangle.
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template <typename OutType, typename PointCoordVecType>
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VTKM_EXEC OutType CellAspectRatioMetric(const vtkm::IdComponent& numPts,
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const PointCoordVecType& pts,
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vtkm::CellShapeTagTriangle,
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const vtkm::exec::FunctorBase& worklet)
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{
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if (numPts != 3)
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{
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worklet.RaiseError("Aspect ratio metric (triangle) requires 3 points.");
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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 lmax = GetTriangleLMax<Scalar, Vector, CollectionOfPoints>(pts);
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const Scalar r = GetTriangleInradius<Scalar, Vector, CollectionOfPoints>(pts);
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const Scalar hhalf(0.5);
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const Scalar three(3.0);
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const Scalar q = (lmax * hhalf * vtkm::RSqrt(three)) / r;
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return q;
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}
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template <typename OutType, typename PointCoordVecType>
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VTKM_EXEC OutType CellAspectRatioMetric(const vtkm::IdComponent& numPts,
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const PointCoordVecType& pts,
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vtkm::CellShapeTagQuad,
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const vtkm::exec::FunctorBase& worklet)
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{
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if (numPts != 4)
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{
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worklet.RaiseError("Aspect ratio metric (quad) requires 4 points.");
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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 Vector X1 = GetQuadX0<Scalar, Vector, CollectionOfPoints>(pts);
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const Vector X2 = GetQuadX1<Scalar, Vector, CollectionOfPoints>(pts);
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const Scalar x1 = vtkm::Sqrt(vtkm::MagnitudeSquared(X1));
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const Scalar x2 = vtkm::Sqrt(vtkm::MagnitudeSquared(X2));
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if (x1 <= Scalar(0.0) || x2 <= 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 q = vtkm::Max(x1 / x2, x2 / x1);
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return q;
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}
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// ========================= 3D cells ==================================
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template <typename OutType, typename PointCoordVecType>
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VTKM_EXEC OutType CellAspectRatioMetric(const vtkm::IdComponent& numPts,
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const PointCoordVecType& pts,
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vtkm::CellShapeTagHexahedron,
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const vtkm::exec::FunctorBase& worklet)
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{
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if (numPts != 8)
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{
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worklet.RaiseError("Aspect ratio metric (hex) requires 4 points.");
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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 Vector X1 = GetHexX1<Scalar, Vector, CollectionOfPoints>(pts);
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const Vector X2 = GetHexX2<Scalar, Vector, CollectionOfPoints>(pts);
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const Vector X3 = GetHexX3<Scalar, Vector, CollectionOfPoints>(pts);
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const Scalar x1 = vtkm::Sqrt(vtkm::MagnitudeSquared(X1));
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const Scalar x2 = vtkm::Sqrt(vtkm::MagnitudeSquared(X2));
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const Scalar x3 = vtkm::Sqrt(vtkm::MagnitudeSquared(X3));
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if (x1 <= Scalar(0.0) || x2 <= Scalar(0.0) || x3 <= 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 q = vtkm::Max(
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x1 / x2,
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vtkm::Max(x2 / x1, vtkm::Max(x1 / x3, vtkm::Max(x3 / x1, vtkm::Max(x3 / x2, x3 / x2)))));
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return q;
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}
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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 CellAspectRatioMetric(const vtkm::IdComponent& numPts,
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const PointCoordVecType& pts,
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vtkm::CellShapeTagTetra,
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const vtkm::exec::FunctorBase& worklet)
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{
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if (numPts != 4)
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{
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worklet.RaiseError("Aspect ratio metric (tetrahedron) requires 4 points.");
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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 rootSixInvert = vtkm::RSqrt(Scalar(6.0));
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const Scalar hhalf(0.5);
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const Scalar lmax = GetTetraLMax<Scalar, Vector, CollectionOfPoints>(pts);
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const Scalar r = GetTetraInradius<Scalar, Vector, CollectionOfPoints>(pts);
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const Scalar q = (hhalf * rootSixInvert * lmax) / r;
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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_CellAspectRatioMetric_h
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