1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246
|
/*=========================================================================
Program: Visualization Toolkit
Module: vtkBezierHexahedron.cxx
Copyright (c) Ken Martin, Will Schroeder, Bill Lorensen
All rights reserved.
See Copyright.txt or http://www.kitware.com/Copyright.htm 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.
=========================================================================*/
#include "vtkBezierHexahedron.h"
#include "vtkBezierCurve.h"
#include "vtkBezierInterpolation.h"
#include "vtkBezierQuadrilateral.h"
#include "vtkCellData.h"
#include "vtkDoubleArray.h"
#include "vtkHexahedron.h"
#include "vtkIdList.h"
#include "vtkLine.h"
#include "vtkMath.h"
#include "vtkObjectFactory.h"
#include "vtkPointData.h"
#include "vtkPoints.h"
#include "vtkTriangle.h"
#include "vtkVector.h"
#include "vtkVectorOperators.h"
vtkStandardNewMacro(vtkBezierHexahedron);
vtkBezierHexahedron::vtkBezierHexahedron()
: vtkHigherOrderHexahedron()
{
}
vtkBezierHexahedron::~vtkBezierHexahedron() = default;
void vtkBezierHexahedron::PrintSelf(ostream& os, vtkIndent indent)
{
this->Superclass::PrintSelf(os, indent);
}
vtkCell* vtkBezierHexahedron::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;
}
vtkCell* vtkBezierHexahedron::GetFace(int faceId)
{
vtkBezierQuadrilateral* result = FaceCell;
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& face_id, const vtkIdType& vol_id) -> void {
result->Points->SetPoint(face_id, this->Points->GetPoint(vol_id));
result->PointIds->SetId(face_id, this->PointIds->GetId(vol_id));
result->GetRationalWeights()->SetValue(face_id, this->GetRationalWeights()->GetValue(vol_id));
};
this->SetFaceIdsAndPoints(result, faceId, 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& face_id, const vtkIdType& vol_id) -> void {
result->Points->SetPoint(face_id, this->Points->GetPoint(vol_id));
result->PointIds->SetId(face_id, this->PointIds->GetId(vol_id));
};
this->SetFaceIdsAndPoints(result, faceId, set_number_of_ids_and_points, set_ids_and_points);
}
return result;
}
/**\brief EvaluateLocation Given a point_id. This is required by Bezier because the interior
* points are non-interpolatory .
*/
void vtkBezierHexahedron::EvaluateLocationProjectedNode(
int& subId, const vtkIdType point_id, double x[3], double* weights)
{
this->vtkHigherOrderHexahedron::SetParametricCoords();
double pcoords[3];
this->PointParametricCoordinates->GetPoint(this->PointIds->FindIdLocation(point_id), pcoords);
this->vtkHigherOrderHexahedron::EvaluateLocation(subId, pcoords, x, weights);
}
/**\brief Populate the linear hex returned by GetApprox() with point-data from one voxel-like
* intervals of this cell.
*
* Ensure that you have called GetOrder() before calling this method
* so that this->Order is up to date. This method does no checking
* before using it to map connectivity-array offsets.
*/
vtkHexahedron* vtkBezierHexahedron::GetApproximateHex(
int subId, vtkDataArray* scalarsIn, vtkDataArray* scalarsOut)
{
vtkHexahedron* approx = this->GetApprox();
bool doScalars = (scalarsIn && scalarsOut);
if (doScalars)
{
scalarsOut->SetNumberOfTuples(8);
}
int i, j, k;
if (!this->SubCellCoordinatesFromId(i, j, k, subId))
{
vtkErrorMacro("Invalid subId " << subId);
return nullptr;
}
// Get the point coordinates (and optionally scalars) for each of the 8 corners
// in the approximating hexahedron spanned by (i, i+1) x (j, j+1) x (k, k+1):
for (vtkIdType ic = 0; ic < 8; ++ic)
{
const vtkIdType corner = this->PointIndexFromIJK(
i + ((((ic + 1) / 2) % 2) ? 1 : 0), j + (((ic / 2) % 2) ? 1 : 0), k + ((ic / 4) ? 1 : 0));
vtkVector3d cp;
// Only the first four corners are interpolatory, we need to project the value of the other
// nodes
if (corner < 8)
{
this->Points->GetPoint(corner, cp.GetData());
}
else
{
this->SetParametricCoords();
double pcoords[3];
this->PointParametricCoordinates->GetPoint(corner, pcoords);
int subIdtps;
std::vector<double> weights(this->Points->GetNumberOfPoints());
this->vtkHigherOrderHexahedron::EvaluateLocation(
subIdtps, pcoords, cp.GetData(), weights.data());
}
approx->Points->SetPoint(ic, cp.GetData());
approx->PointIds->SetId(ic, doScalars ? corner : this->PointIds->GetId(corner));
if (doScalars)
{
scalarsOut->SetTuple(ic, scalarsIn->GetTuple(corner));
}
}
return approx;
}
void vtkBezierHexahedron::InterpolateFunctions(const double pcoords[3], double* weights)
{
vtkBezierInterpolation::Tensor3ShapeFunctions(this->GetOrder(), pcoords, weights);
// If the unit cell has rational weigths: weights_i = weights_i * rationalWeights / sum(
// weights_i
// * rationalWeights )
const bool has_rational_weights = RationalWeights->GetNumberOfTuples() > 0;
if (has_rational_weights)
{
vtkIdType nPoints = this->GetPoints()->GetNumberOfPoints();
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 vtkBezierHexahedron::InterpolateDerivs(const double pcoords[3], double* derivs)
{
vtkBezierInterpolation::Tensor3ShapeDerivatives(this->GetOrder(), pcoords, derivs);
}
/**\brief Set the rational weight of the cell, given a vtkDataSet
*/
void vtkBezierHexahedron::SetRationalWeightsFromPointData(
vtkPointData* point_data, const vtkIdType numPts)
{
if (point_data->SetActiveAttribute(
"RationalWeights", vtkDataSetAttributes::AttributeTypes::RATIONALWEIGHTS) != -1)
{
vtkDataArray* v = point_data->GetRationalWeights();
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();
}
vtkDoubleArray* vtkBezierHexahedron::GetRationalWeights()
{
return RationalWeights.Get();
}
vtkHigherOrderCurve* vtkBezierHexahedron::getEdgeCell()
{
return EdgeCell;
}
vtkHigherOrderQuadrilateral* vtkBezierHexahedron::getFaceCell()
{
return FaceCell;
}
vtkHigherOrderInterpolation* vtkBezierHexahedron::getInterp()
{
return Interp;
};
|