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677962f939
This file was using the Matrix class but not including Matrix.h. When I tried to use the MeshQuality filter in an example that did not include Matrix.h on its own, I got a compile error.
191 lines
7.6 KiB
C++
191 lines
7.6 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 2014 National Technology & Engineering Solutions of Sandia, LLC (NTESS).
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// Copyright 2014 UT-Battelle, LLC.
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// Copyright 2014 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_CellRelativeSizeSquaredMetric_h
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#define vtk_m_worklet_cellmetrics_CellRelativeSizeSquaredMetric_h
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/*
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* Mesh quality metric functions that compute the relative size squared of mesh
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* cells. The RSS of a cell is defined as the square of the minimum of: the area
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* divided by the average area of an ensemble of triangles or the inverse. For
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* 3D cells we use the volumes instead of the areas.
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*
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* These metric computations are adapted from the VTK implementation of the
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* Verdict library, which provides a set of mesh/cell metrics for evaluating the
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* geometric qualities of regions of mesh spaces.
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*
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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
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* metric)
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*/
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#include <vtkm/CellShape.h>
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#include <vtkm/CellTraits.h>
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#include <vtkm/Matrix.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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using FloatType = vtkm::FloatDefault;
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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 CellRelativeSizeSquaredMetric(const vtkm::IdComponent& numPts,
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const PointCoordVecType& pts,
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const OutType& avgArea,
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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(avgArea);
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UNUSED(shape);
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return OutType(-1.);
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}
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// ========================= 2D cells ==================================
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template <typename OutType, typename PointCoordVecType>
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VTKM_EXEC OutType CellRelativeSizeSquaredMetric(const vtkm::IdComponent& numPts,
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const PointCoordVecType& pts,
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const OutType& avgArea,
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vtkm::CellShapeTagTriangle tag,
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const vtkm::exec::FunctorBase& worklet)
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{
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UNUSED(worklet);
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if (numPts != 3)
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{
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worklet.RaiseError("Edge ratio metric(triangle) requires 3 points.");
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return OutType(-1.);
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}
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OutType A = vtkm::exec::CellMeasure<OutType>(numPts, pts, tag, worklet);
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OutType R = A / avgArea;
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if (R == OutType(0.))
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return OutType(0.);
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OutType q = vtkm::Pow(vtkm::Min(R, OutType(1.) / R), OutType(2.));
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return OutType(q);
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}
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template <typename OutType, typename PointCoordVecType>
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VTKM_EXEC OutType CellRelativeSizeSquaredMetric(const vtkm::IdComponent& numPts,
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const PointCoordVecType& pts,
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const OutType& avgArea,
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vtkm::CellShapeTagQuad tag,
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const vtkm::exec::FunctorBase& worklet)
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{
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UNUSED(worklet);
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if (numPts != 4)
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{
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worklet.RaiseError("Edge ratio metric(quadrilateral) requires 4 points.");
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return OutType(-1.);
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}
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OutType A = vtkm::exec::CellMeasure<OutType>(numPts, pts, tag, worklet);
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OutType R = A / avgArea;
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if (R == OutType(0.))
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return OutType(0.);
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OutType q = vtkm::Pow(vtkm::Min(R, OutType(1.) / R), OutType(2.));
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return OutType(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 CellRelativeSizeSquaredMetric(const vtkm::IdComponent& numPts,
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const PointCoordVecType& pts,
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const OutType& avgVolume,
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vtkm::CellShapeTagTetra tag,
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const vtkm::exec::FunctorBase& worklet)
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{
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UNUSED(worklet);
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if (numPts != 4)
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{
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worklet.RaiseError("Edge ratio metric(tetrahedral) requires 4 points.");
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return OutType(-1.);
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}
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OutType V = vtkm::exec::CellMeasure<OutType>(numPts, pts, tag, worklet);
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OutType R = V / avgVolume;
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if (R == OutType(0.))
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return OutType(0.);
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OutType q = vtkm::Pow(vtkm::Min(R, OutType(1.) / R), OutType(2.));
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return OutType(q);
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}
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template <typename OutType, typename PointCoordVecType>
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VTKM_EXEC OutType CellRelativeSizeSquaredMetric(const vtkm::IdComponent& numPts,
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const PointCoordVecType& pts,
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const OutType& avgVolume,
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vtkm::CellShapeTagHexahedron tag,
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const vtkm::exec::FunctorBase& worklet)
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{
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UNUSED(tag);
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UNUSED(worklet);
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if (numPts != 8)
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{
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worklet.RaiseError("Edge ratio metric(hexahedral) requires 8 points.");
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return OutType(-1.);
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}
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OutType X1x = (pts[1][0] - pts[0][0]) + (pts[2][0] - pts[3][0]) + (pts[5][0] - pts[4][0]) +
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(pts[6][0] - pts[7][0]);
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OutType X1y = (pts[1][1] - pts[0][1]) + (pts[2][1] - pts[3][1]) + (pts[5][1] - pts[4][1]) +
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(pts[6][1] - pts[7][1]);
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OutType X1z = (pts[1][2] - pts[0][2]) + (pts[2][2] - pts[3][2]) + (pts[5][2] - pts[4][2]) +
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(pts[6][2] - pts[7][2]);
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OutType X2x = (pts[2][0] - pts[0][0]) + (pts[2][0] - pts[1][0]) + (pts[7][0] - pts[4][0]) +
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(pts[6][0] - pts[5][0]);
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OutType X2y = (pts[2][1] - pts[0][1]) + (pts[2][1] - pts[1][1]) + (pts[7][1] - pts[4][1]) +
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(pts[6][1] - pts[5][1]);
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OutType X2z = (pts[2][2] - pts[0][2]) + (pts[2][2] - pts[1][2]) + (pts[7][2] - pts[4][2]) +
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(pts[6][2] - pts[5][2]);
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OutType X3x = (pts[4][0] - pts[0][0]) + (pts[5][0] - pts[1][0]) + (pts[6][0] - pts[2][0]) +
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(pts[7][0] - pts[3][0]);
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OutType X3y = (pts[4][1] - pts[0][1]) + (pts[5][1] - pts[1][1]) + (pts[6][1] - pts[2][1]) +
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(pts[7][1] - pts[3][1]);
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OutType X3z = (pts[4][2] - pts[0][2]) + (pts[5][2] - pts[1][2]) + (pts[6][2] - pts[2][2]) +
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(pts[7][2] - pts[3][2]);
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vtkm::Matrix<OutType, 3, 3> A8;
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vtkm::MatrixSetRow(A8, 0, vtkm::Vec<OutType, 3>(X1x, X1y, X1z));
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vtkm::MatrixSetRow(A8, 1, vtkm::Vec<OutType, 3>(X2x, X2y, X2z));
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vtkm::MatrixSetRow(A8, 2, vtkm::Vec<OutType, 3>(X3x, X3y, X3z));
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OutType D = vtkm::MatrixDeterminant(A8);
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D = D / (OutType(64.) * avgVolume);
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if (D == OutType(0.))
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return OutType(0.);
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OutType q = vtkm::Pow(vtkm::Min(D, OutType(1.) / D), OutType(2.));
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return OutType(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_exec_cellmetrics_CellRelativeSizeSquaredMetric.h
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