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/*=========================================================================
Program: Visualization Toolkit
Module: vtkBezierQuadrilateral.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 "vtkBezierQuadrilateral.h"
#include "vtkBezierCurve.h"
#include "vtkBezierInterpolation.h"
#include "vtkCellData.h"
#include "vtkDataSet.h"
#include "vtkDoubleArray.h"
#include "vtkIdList.h"
#include "vtkMath.h"
#include "vtkObjectFactory.h"
#include "vtkPointData.h"
#include "vtkPoints.h"
#include "vtkQuad.h"
#include "vtkTriangle.h"
#include "vtkVector.h"
#include "vtkVectorOperators.h"
vtkStandardNewMacro(vtkBezierQuadrilateral);
vtkBezierQuadrilateral::vtkBezierQuadrilateral()
: vtkHigherOrderQuadrilateral()
{
}
vtkBezierQuadrilateral::~vtkBezierQuadrilateral() = default;
void vtkBezierQuadrilateral::PrintSelf(ostream& os, vtkIndent indent)
{
this->Superclass::PrintSelf(os, indent);
}
vtkCell* vtkBezierQuadrilateral::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& face_id) -> void {
result->Points->SetPoint(edge_id, this->Points->GetPoint(face_id));
result->PointIds->SetId(edge_id, this->PointIds->GetId(face_id));
result->GetRationalWeights()->SetValue(
edge_id, this->GetRationalWeights()->GetValue(face_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& face_id) -> void {
result->Points->SetPoint(edge_id, this->Points->GetPoint(face_id));
result->PointIds->SetId(edge_id, this->PointIds->GetId(face_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 vtkBezierQuadrilateral::EvaluateLocationProjectedNode(
int& subId, const vtkIdType point_id, double x[3], double* weights)
{
this->vtkHigherOrderQuadrilateral::SetParametricCoords();
double pcoords[3];
this->PointParametricCoordinates->GetPoint(this->PointIds->FindIdLocation(point_id), pcoords);
this->vtkHigherOrderQuadrilateral::EvaluateLocation(subId, pcoords, x, weights);
}
/**\brief Populate the linear quadrilateral returned by GetApprox() with point-data from one
* voxel-like interval 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.
*/
vtkQuad* vtkBezierQuadrilateral::GetApproximateQuad(
int subId, vtkDataArray* scalarsIn, vtkDataArray* scalarsOut)
{
vtkQuad* approx = this->GetApprox();
bool doScalars = (scalarsIn && scalarsOut);
if (doScalars)
{
scalarsOut->SetNumberOfTuples(4);
}
int i, j, k;
if (!this->SubCellCoordinatesFromId(i, j, k, subId))
{
vtkErrorMacro("Invalid subId " << subId);
return nullptr;
}
// Get the point ids (and optionally scalars) for each of the 4 corners
// in the approximating quadrilateral spanned by (i, i+1) x (j, j+1):
for (vtkIdType ic = 0; ic < 4; ++ic)
{
const vtkIdType corner =
this->PointIndexFromIJK(i + ((((ic + 1) / 2) % 2) ? 1 : 0), j + (((ic / 2) % 2) ? 1 : 0), 0);
vtkVector3d cp;
// Only the first four corners are interpolatory, we need to project the value of the other
// nodes
if (corner < 4)
{
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->vtkHigherOrderQuadrilateral::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 vtkBezierQuadrilateral::InterpolateFunctions(const double pcoords[3], double* weights)
{
vtkBezierInterpolation::Tensor2ShapeFunctions(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 vtkBezierQuadrilateral::InterpolateDerivs(const double pcoords[3], double* derivs)
{
vtkBezierInterpolation::Tensor2ShapeDerivatives(this->GetOrder(), pcoords, derivs);
}
/**\brief Set the rational weight of the cell, given a vtkDataSet
*/
void vtkBezierQuadrilateral::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* vtkBezierQuadrilateral::GetRationalWeights()
{
return RationalWeights.Get();
}
vtkHigherOrderCurve* vtkBezierQuadrilateral::getEdgeCell()
{
return EdgeCell;
}
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