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/*=========================================================================
Program: Visualization Toolkit
Module: vtkBezierTriangle.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 "vtkBezierTriangle.h"
#include "vtkBezierInterpolation.h"
#include "vtkBezierCurve.h"
#include "vtkCellArray.h"
#include "vtkCellData.h"
#include "vtkDataSet.h"
#include "vtkDoubleArray.h"
#include "vtkIncrementalPointLocator.h"
#include "vtkLine.h"
#include "vtkMath.h"
#include "vtkObjectFactory.h"
#include "vtkPointData.h"
#include "vtkPoints.h"
#include "vtkTriangle.h"
#include "vtkVector.h"
#define ENABLE_CACHING
#define SEVEN_POINT_TRIANGLE
vtkStandardNewMacro(vtkBezierTriangle);
//----------------------------------------------------------------------------
vtkBezierTriangle::vtkBezierTriangle()
: vtkHigherOrderTriangle()
{
}
//----------------------------------------------------------------------------
vtkBezierTriangle::~vtkBezierTriangle() = default;
void vtkBezierTriangle::PrintSelf(ostream& os, vtkIndent indent)
{
this->Superclass::PrintSelf(os, indent);
}
vtkCell* vtkBezierTriangle::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;
}
/**\brief EvaluateLocation Given a point_id. This is required by Bezier because the interior points
* are non-interpolatory .
*/
void vtkBezierTriangle::EvaluateLocationProjectedNode(
int& subId, const vtkIdType point_id, double x[3], double* weights)
{
this->vtkHigherOrderTriangle::SetParametricCoords();
double pcoords[3];
this->PointParametricCoordinates->GetPoint(this->PointIds->FindIdLocation(point_id), pcoords);
this->vtkHigherOrderTriangle::EvaluateLocation(subId, pcoords, x, weights);
}
/**\brief Set the rational weight of the cell, given a vtkDataSet
*/
void vtkBezierTriangle::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();
}
//----------------------------------------------------------------------------
void vtkBezierTriangle::InterpolateFunctions(const double pcoords[3], double* weights)
{
const int dim = 2;
const int deg = GetOrder();
const vtkIdType nPoints = this->GetPoints()->GetNumberOfPoints();
std::vector<double> coeffs(nPoints, 0.0);
vtkBezierInterpolation::deCasteljauSimplex(dim, deg, pcoords, &coeffs[0]);
for (vtkIdType i = 0; i < nPoints; ++i)
{
vtkVector3i bv = vtkBezierInterpolation::unflattenSimplex(dim, deg, i);
vtkIdType lbv[3] = { bv[0], bv[1], bv[2] };
weights[Index(lbv, deg)] = coeffs[i];
}
// 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)
{
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 vtkBezierTriangle::InterpolateDerivs(const double pcoords[3], double* derivs)
{
const int dim = 2;
const int deg = GetOrder();
const vtkIdType nPoints = this->GetPoints()->GetNumberOfPoints();
std::vector<double> coeffs(nPoints, 0.0);
vtkBezierInterpolation::deCasteljauSimplexDeriv(dim, deg, pcoords, &coeffs[0]);
for (vtkIdType i = 0; i < nPoints; ++i)
{
vtkVector3i bv = vtkBezierInterpolation::unflattenSimplex(dim, deg, i);
vtkIdType lbv[3] = { bv[0], bv[1], bv[2] };
for (int j = 0; j < dim; ++j)
{
derivs[j * nPoints + Index(lbv, deg)] = coeffs[j * nPoints + i];
}
}
}
vtkDoubleArray* vtkBezierTriangle::GetRationalWeights()
{
return RationalWeights.Get();
}
vtkHigherOrderCurve* vtkBezierTriangle::getEdgeCell()
{
return EdgeCell;
}
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