You can not select more than 25 topics
Topics must start with a letter or number, can include dashes ('-') and can be up to 35 characters long.
115 lines
3.4 KiB
115 lines
3.4 KiB
2 years ago
|
/*=========================================================================
|
||
|
|
|
||
|
|
Program: Visualization Toolkit
|
||
|
|
Module: $RCSfile: vtkParametricBoy.cxx,v $
|
||
|
|
|
||
|
|
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 "vtkParametricBoy.h"
|
||
|
|
#include "vtkObjectFactory.h"
|
||
|
|
#include "vtkMath.h"
|
||
|
|
|
||
|
|
vtkCxxRevisionMacro(vtkParametricBoy, "$Revision: 1.2 $");
|
||
|
|
vtkStandardNewMacro(vtkParametricBoy);
|
||
|
|
|
||
|
|
//----------------------------------------------------------------------------
|
||
|
|
vtkParametricBoy::vtkParametricBoy()
|
||
|
|
{
|
||
|
|
// Preset triangulation parameters
|
||
|
|
this->MinimumU = 0;
|
||
|
|
this->MinimumV = 0;
|
||
|
|
this->MaximumU = vtkMath::Pi();
|
||
|
|
this->MaximumV = vtkMath::Pi();
|
||
|
|
|
||
|
|
this->JoinU = 1;
|
||
|
|
this->JoinV = 1;
|
||
|
|
this->TwistU = 1;
|
||
|
|
this->TwistV = 1;
|
||
|
|
this->ClockwiseOrdering = 1;
|
||
|
|
this->DerivativesAvailable = 1;
|
||
|
|
|
||
|
|
this->ZScale = 0.125;
|
||
|
|
}
|
||
|
|
|
||
|
|
//----------------------------------------------------------------------------
|
||
|
|
vtkParametricBoy::~vtkParametricBoy()
|
||
|
|
{
|
||
|
|
}
|
||
|
|
|
||
|
|
//----------------------------------------------------------------------------
|
||
|
|
void vtkParametricBoy::Evaluate(double uvw[3], double Pt[3], double Duvw[9])
|
||
|
|
{
|
||
|
|
|
||
|
|
double u = uvw[0];
|
||
|
|
double v = uvw[1];
|
||
|
|
double *Du = Duvw;
|
||
|
|
double *Dv = Duvw + 3;
|
||
|
|
|
||
|
|
double cu = cos(u);
|
||
|
|
double su = sin(u);
|
||
|
|
double sv = sin(v);
|
||
|
|
|
||
|
|
double X = cos(u)*sin(v);
|
||
|
|
double Y = sin(u)*sin(v);
|
||
|
|
double Z = cos(v);
|
||
|
|
|
||
|
|
double X2 = X * X;
|
||
|
|
double X3 = X2 * X;
|
||
|
|
double X4 = X3 * X;
|
||
|
|
double Y2 = Y * Y;
|
||
|
|
double Y3 = Y2 * Y;
|
||
|
|
double Y4 = Y3 * Y;
|
||
|
|
double Z2 = Z * Z;
|
||
|
|
double Z3 = Z2 * Z;
|
||
|
|
double Z4 = Z3 * Z;
|
||
|
|
|
||
|
|
// The point
|
||
|
|
Pt[0] = 1.0/2.0*(2*X2-Y2-Z2+2.0*Y*Z*(Y2-Z2)+
|
||
|
|
Z*X*(X2-Z2)+X*Y*(Y2-X2));
|
||
|
|
Pt[1] = sqrt(3.0)/2.0*(Y2-Z2+(Z*X*(Z2-X2)+
|
||
|
|
X*Y*(Y2-X2)));
|
||
|
|
Pt[2] = this->ZScale*(X+Y+Z)*((X+Y+Z)*(X+Y+Z)*(X+Y+Z)+
|
||
|
|
4.0*(Y-X)*(Z-Y)*(X-Z));
|
||
|
|
|
||
|
|
//The derivatives are:
|
||
|
|
Du[0] = -1.0/2.0*X4-Z3*X+3.0*Y2*X2-3.0/2.0*Z*X2*Y+3.0*Z*X*Y2-
|
||
|
|
3.0*Y*X-1.0/2.0*Y4+1.0/2.0*Z3*Y;
|
||
|
|
Dv[0] = (3.0/2.0*Z2*X2+2*Z*X-1.0/2.0*Z4)*cu+
|
||
|
|
(-2.0*Z*X3+2*Z*X*Y2+3*Z2*Y2-Z*Y-Z4)*su+
|
||
|
|
(-1.0/2.0*X3+3.0/2.0*Z2*X-Y3+3.0*Z2*Y+Z)*sv;
|
||
|
|
Du[1] = -1.0/2.0*sqrt(3.0)*X4+3.0*sqrt(3.0)*Y2*X2+
|
||
|
|
3.0/2.0*sqrt(3.0)*Z*X2*Y+sqrt(3.0)*Y*X-
|
||
|
|
1.0/2.0*sqrt(3.0)*Y4-1.0/2.0*sqrt(3.0)*Z3*Y;
|
||
|
|
Dv[1] = (-3.0/2.0*sqrt(3.0)*Z2*X2+1.0/2.0*sqrt(3.0)*Z4)*cu+
|
||
|
|
(-2.0*sqrt(3.0)*Z*X3+2.0*sqrt(3.0)*Z*Y2*X+sqrt(3.0)*Z*Y)*su+
|
||
|
|
(1.0/2.0*sqrt(3.0)*X3-3.0/2.0*sqrt(3.0)*Z2*X+sqrt(3.0)*Z)*sv;
|
||
|
|
Du[2] = X4+3/2*Z*X3+3/2*Z2*X2+X3*Y-3*X2*Y2+
|
||
|
|
3*Z*X2*Y-Y3*X-3/2*Z*Y3-3/2*Z2*Y2-Z3*Y;
|
||
|
|
Dv[2] = (1/2*Z*X3+3/2*Z3*X+Z4)*cu+(4*Z*X3+3*Z*X2*Y+
|
||
|
|
9/2*Z2*X2+9/2*Z2*X*Y+3*Z3*X+1/2*Z*Y3+3*Z2*Y2+
|
||
|
|
3/2*Z3*Y)*su+(-3/2*X2*Y-3/2*Z*X2-3/2*X*Y2-
|
||
|
|
3*Z*X*Y-3*Z2*X-Y3-3/2*Z*Y2-1/2*Z3)*sv;
|
||
|
|
}
|
||
|
|
|
||
|
|
//----------------------------------------------------------------------------
|
||
|
|
double vtkParametricBoy::EvaluateScalar(double *, double *, double *)
|
||
|
|
{
|
||
|
|
return 0;
|
||
|
|
}
|
||
|
|
|
||
|
|
//----------------------------------------------------------------------------
|
||
|
|
void vtkParametricBoy::PrintSelf(ostream& os, vtkIndent indent)
|
||
|
|
{
|
||
|
|
this->Superclass::PrintSelf(os,indent);
|
||
|
|
|
||
|
|
os << indent << "ZScale: " << this->ZScale << "\n";
|
||
|
|
|
||
|
|
}
|