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
|
/*=========================================================================
Program: Visualization Toolkit
Module: vtkBezierTetra.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 "vtkBezierTetra.h"
#include "vtkBezierInterpolation.h"
#include "vtkBezierCurve.h"
#include "vtkBezierTriangle.h"
#include "vtkDataSet.h"
#include "vtkDoubleArray.h"
#include "vtkLine.h"
#include "vtkMath.h"
#include "vtkObjectFactory.h"
#include "vtkPointData.h"
#include "vtkPoints.h"
#include "vtkTetra.h"
VTK_ABI_NAMESPACE_BEGIN
vtkStandardNewMacro(vtkBezierTetra);
//------------------------------------------------------------------------------
vtkBezierTetra::vtkBezierTetra() = default;
//------------------------------------------------------------------------------
vtkBezierTetra::~vtkBezierTetra() = default;
void vtkBezierTetra::PrintSelf(ostream& os, vtkIndent indent)
{
this->Superclass::PrintSelf(os, indent);
}
vtkCell* vtkBezierTetra::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* vtkBezierTetra::GetFace(int faceId)
{
vtkBezierTriangle* 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 Set the rational weight of the cell, given a vtkDataSet
*/
void vtkBezierTetra::SetRationalWeightsFromPointData(
vtkPointData* point_data, const vtkIdType numPts)
{
vtkDataArray* v = point_data->GetRationalWeights();
if (v)
{
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();
}
//------------------------------------------------------------------------------
void vtkBezierTetra::InterpolateFunctions(const double pcoords[3], double* weights)
{
const int dim = 3;
const int deg = GetOrder();
const vtkIdType nPoints = this->GetPoints()->GetNumberOfPoints();
std::vector<double> coeffs(nPoints, 0.0);
vtkBezierInterpolation::DeCasteljauSimplex(dim, deg, pcoords, coeffs.data());
for (vtkIdType i = 0; i < nPoints; ++i)
{
vtkVector3i bv = vtkBezierInterpolation::UnFlattenSimplex(dim, deg, i);
vtkIdType lbv[4] = { bv[0], bv[1], bv[2], deg - bv[0] - bv[1] - bv[2] };
weights[Index(lbv, deg)] = coeffs[i];
}
// If the unit cell has rational weights: weights_i = weights_i * rationalWeights / sum( weights_i
// * rationalWeights )
const bool has_rational_weights = RationalWeights->GetNumberOfTuples() > 0;
if (has_rational_weights)
{
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 vtkBezierTetra::InterpolateDerivs(const double pcoords[3], double* derivs)
{
const int dim = 3;
const int deg = GetOrder();
const vtkIdType nPoints = this->GetPoints()->GetNumberOfPoints();
std::vector<double> coeffs(nPoints, 0.0);
vtkBezierInterpolation::DeCasteljauSimplexDeriv(dim, deg, pcoords, coeffs.data());
for (vtkIdType i = 0; i < nPoints; ++i)
{
vtkVector3i bv = vtkBezierInterpolation::UnFlattenSimplex(dim, deg, i);
vtkIdType lbv[4] = { bv[0], bv[1], bv[2], deg - bv[0] - bv[1] - bv[2] };
for (int j = 0; j < dim; ++j)
{
derivs[j * nPoints + Index(lbv, deg)] = coeffs[j * nPoints + i];
}
}
}
vtkDoubleArray* vtkBezierTetra::GetRationalWeights()
{
return RationalWeights.Get();
}
vtkHigherOrderCurve* vtkBezierTetra::GetEdgeCell()
{
return EdgeCell;
}
vtkHigherOrderTriangle* vtkBezierTetra::GetFaceCell()
{
return FaceCell;
}
VTK_ABI_NAMESPACE_END
|
