199 lines
7.7 KiB
C++
199 lines
7.7 KiB
C++
//============================================================================
|
|
// Copyright (c) Kitware, Inc.
|
|
// All rights reserved.
|
|
// See LICENSE.txt for details.
|
|
// This software is distributed WITHOUT ANY WARRANTY; without even
|
|
// the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
|
|
// PURPOSE. See the above copyright notice for more information.
|
|
//
|
|
// Copyright 2014 National Technology & Engineering Solutions of Sandia, LLC (NTESS).
|
|
// Copyright 2014 UT-Battelle, LLC.
|
|
// Copyright 2014 Los Alamos National Security.
|
|
//
|
|
// Under the terms of Contract DE-NA0003525 with NTESS,
|
|
// the U.S. Government retains certain rights in this software.
|
|
//
|
|
// Under the terms of Contract DE-AC52-06NA25396 with Los Alamos National
|
|
// Laboratory (LANL), the U.S. Government retains certain rights in
|
|
// this software.
|
|
//============================================================================
|
|
#ifndef vtk_m_worklet_cellmetrics_CellConditionMetric_h
|
|
#define vtk_m_worklet_cellmetrics_CellConditionMetric_h
|
|
|
|
/*
|
|
* Mesh quality metric functions that compute the condition metric of mesh cells.
|
|
** These metric computations are adapted from the VTK implementation of the Verdict library,
|
|
* which provides a set of mesh/cell metrics for evaluating the geometric qualities of regions
|
|
* of mesh spaces.
|
|
** See: The Verdict Library Reference Manual (for per-cell-type metric formulae)
|
|
* See: vtk/ThirdParty/verdict/vtkverdict (for VTK code implementation of this metric)
|
|
*/
|
|
|
|
#include "CellMaxAspectFrobeniusMetric.h"
|
|
#include "TypeOfCellHexahedral.h"
|
|
#include "TypeOfCellQuadrilateral.h"
|
|
#include "TypeOfCellTetrahedral.h"
|
|
#include "TypeOfCellTriangle.h"
|
|
#include "vtkm/CellShape.h"
|
|
#include "vtkm/CellTraits.h"
|
|
#include "vtkm/VecTraits.h"
|
|
#include "vtkm/VectorAnalysis.h"
|
|
#include "vtkm/exec/FunctorBase.h"
|
|
#define UNUSED(expr) (void)(expr);
|
|
|
|
namespace vtkm
|
|
{
|
|
namespace worklet
|
|
{
|
|
namespace cellmetrics
|
|
{
|
|
// ========================= Unsupported cells ==================================
|
|
|
|
// By default, cells have zero shape unless the shape type template is specialized below.
|
|
template <typename OutType, typename PointCoordVecType, typename CellShapeType>
|
|
VTKM_EXEC OutType CellConditionMetric(const vtkm::IdComponent& numPts,
|
|
const PointCoordVecType& pts,
|
|
CellShapeType shape,
|
|
const vtkm::exec::FunctorBase&)
|
|
{
|
|
UNUSED(numPts);
|
|
UNUSED(pts);
|
|
UNUSED(shape);
|
|
return OutType(0);
|
|
}
|
|
|
|
// =============================== Condition metric cells ==================================
|
|
|
|
// Compute the condition quality metric of a triangular cell.
|
|
template <typename OutType, typename PointCoordVecType>
|
|
VTKM_EXEC OutType CellConditionMetric(const vtkm::IdComponent& numPts,
|
|
const PointCoordVecType& pts,
|
|
vtkm::CellShapeTagTriangle,
|
|
const vtkm::exec::FunctorBase& worklet)
|
|
{
|
|
if (numPts != 3)
|
|
{
|
|
worklet.RaiseError("Condition metric(triangle) requires 3 points.");
|
|
return OutType(0.0);
|
|
}
|
|
|
|
using Scalar = OutType;
|
|
using CollectionOfPoints = PointCoordVecType;
|
|
using Vector = typename PointCoordVecType::ComponentType;
|
|
|
|
const Scalar area = GetTriangleArea<Scalar, Vector, CollectionOfPoints>(pts);
|
|
|
|
if (area == Scalar(0.0))
|
|
{
|
|
return vtkm::Infinity<Scalar>();
|
|
}
|
|
const Scalar two(2.0);
|
|
const Scalar rootThree = vtkm::Sqrt(Scalar(3.0));
|
|
const Vector L1 = GetTriangleL1<Scalar, Vector, CollectionOfPoints>(pts);
|
|
const Vector L2 = GetTriangleL2<Scalar, Vector, CollectionOfPoints>(pts);
|
|
|
|
const Scalar q =
|
|
(vtkm::Dot(L2, L2) + vtkm::Dot(L1, L1) + vtkm::Dot(L1, L2)) / (two * area * rootThree);
|
|
return q;
|
|
}
|
|
|
|
template <typename OutType, typename PointCoordVecType>
|
|
VTKM_EXEC OutType CellConditionMetric(const vtkm::IdComponent& numPts,
|
|
const PointCoordVecType& pts,
|
|
vtkm::CellShapeTagQuad,
|
|
const vtkm::exec::FunctorBase& worklet)
|
|
{
|
|
UNUSED(numPts);
|
|
UNUSED(worklet);
|
|
using Scalar = OutType;
|
|
using CollectionOfPoints = PointCoordVecType;
|
|
using Vector = typename PointCoordVecType::ComponentType;
|
|
|
|
const Scalar a0 = GetQuadAlpha0<Scalar, Vector, CollectionOfPoints>(pts);
|
|
const Scalar a1 = GetQuadAlpha1<Scalar, Vector, CollectionOfPoints>(pts);
|
|
const Scalar a2 = GetQuadAlpha2<Scalar, Vector, CollectionOfPoints>(pts);
|
|
const Scalar a3 = GetQuadAlpha3<Scalar, Vector, CollectionOfPoints>(pts);
|
|
|
|
if (a0 < vtkm::NegativeInfinity<Scalar>() || a1 < vtkm::NegativeInfinity<Scalar>() ||
|
|
a2 < vtkm::NegativeInfinity<Scalar>() || a3 < vtkm::NegativeInfinity<Scalar>())
|
|
{
|
|
return vtkm::Infinity<Scalar>();
|
|
}
|
|
|
|
const Scalar l0 = GetQuadL0Magnitude<Scalar, Vector, CollectionOfPoints>(pts);
|
|
const Scalar l1 = GetQuadL1Magnitude<Scalar, Vector, CollectionOfPoints>(pts);
|
|
const Scalar l2 = GetQuadL2Magnitude<Scalar, Vector, CollectionOfPoints>(pts);
|
|
const Scalar l3 = GetQuadL3Magnitude<Scalar, Vector, CollectionOfPoints>(pts);
|
|
const Scalar hhalf(0.5);
|
|
|
|
const Scalar q0 = ((l0 * l0) + (l3 * l3)) / a0;
|
|
const Scalar q1 = ((l1 * l1) + (l0 * l0)) / a1;
|
|
const Scalar q2 = ((l2 * l2) + (l1 * l1)) / a2;
|
|
const Scalar q3 = ((l3 * l3) + (l2 * l2)) / a3;
|
|
|
|
const Scalar q = hhalf * vtkm::Max(q0, vtkm::Max(q1, vtkm::Max(q2, q3)));
|
|
return q;
|
|
}
|
|
|
|
// ============================= 3D volumetric cells ==================================
|
|
/// Compute the condition metric of a tetrahedron.
|
|
template <typename OutType, typename PointCoordVecType>
|
|
VTKM_EXEC OutType CellConditionMetric(const vtkm::IdComponent& numPts,
|
|
const PointCoordVecType& pts,
|
|
vtkm::CellShapeTagTetra,
|
|
const vtkm::exec::FunctorBase& worklet)
|
|
{
|
|
if (numPts != 4)
|
|
{
|
|
worklet.RaiseError("Condition metric(tetrahedron) requires 4 points.");
|
|
return OutType(0.0);
|
|
}
|
|
using Scalar = OutType;
|
|
using CollectionOfPoints = PointCoordVecType;
|
|
using Vector = typename PointCoordVecType::ComponentType;
|
|
|
|
const Scalar negTwo(-2.0);
|
|
const Scalar three(3.0);
|
|
const Scalar root3 = vtkm::Sqrt(three);
|
|
const Scalar root6 = vtkm::Sqrt(Scalar(6.0));
|
|
const Vector L0 = GetTetraL0<Scalar, Vector, CollectionOfPoints>(pts);
|
|
const Vector L2 = GetTetraL2<Scalar, Vector, CollectionOfPoints>(pts);
|
|
const Vector L3 = GetTetraL3<Scalar, Vector, CollectionOfPoints>(pts);
|
|
|
|
const Vector C1 = L0;
|
|
const Vector C2 = ((negTwo * L2) - L0) / root3;
|
|
const Vector C3 = ((three * L3) + L2 - L0) / root6;
|
|
|
|
const Scalar cDet = vtkm::Dot(C1, vtkm::Cross(C2, C3));
|
|
|
|
if (cDet <= Scalar(0.0))
|
|
{
|
|
return vtkm::Infinity<Scalar>();
|
|
}
|
|
|
|
const Vector C1xC2 = vtkm::Cross(C1, C2);
|
|
const Vector C2xC3 = vtkm::Cross(C2, C3);
|
|
const Vector C1xC3 = vtkm::Cross(C1, C3);
|
|
|
|
const Scalar t1 = vtkm::Dot(C1, C1) + vtkm::Dot(C2, C2) + vtkm::Dot(C3, C3);
|
|
const Scalar t2 = vtkm::Dot(C1xC2, C1xC2) + vtkm::Dot(C2xC3, C2xC3) + vtkm::Dot(C1xC3, C1xC3);
|
|
|
|
const Scalar q = vtkm::Sqrt(t1 * t2) / (three * cDet);
|
|
return q;
|
|
}
|
|
|
|
// Condition of a hex cell is a deprecated/legacy metric which is identical to the Max Aspect Frobenius metric.
|
|
template <typename OutType, typename PointCoordVecType>
|
|
VTKM_EXEC OutType CellConditionMetric(const vtkm::IdComponent& numPts,
|
|
const PointCoordVecType& pts,
|
|
vtkm::CellShapeTagHexahedron,
|
|
const vtkm::exec::FunctorBase& worklet)
|
|
{
|
|
return CellMaxAspectFrobeniusMetric<OutType, PointCoordVecType>(
|
|
numPts, pts, vtkm::CellShapeTagHexahedron(), worklet);
|
|
}
|
|
}
|
|
}
|
|
}
|
|
#endif // vtk_m_worklet_CellConditionMetric_h
|