/*=========================================================================

  Program:   Visualization Toolkit
  Module:    vtkParametricKlein.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 "vtkParametricKlein.h"
#include "vtkObjectFactory.h"
#include "vtkMath.h"

vtkStandardNewMacro(vtkParametricKlein);

//----------------------------------------------------------------------------
vtkParametricKlein::vtkParametricKlein()
{
  // Preset triangulation parameters
  this->MinimumU = 0;
  this->MaximumU = vtkMath::Pi();
  this->MinimumV = 0;
  this->MaximumV = 2.0 * vtkMath::Pi();

  this->JoinU = 0;
  this->JoinV = 1;
  this->TwistU = 0;
  this->TwistV = 0;
  this->ClockwiseOrdering = 0;
  this->DerivativesAvailable = 1;
}

//----------------------------------------------------------------------------
vtkParametricKlein::~vtkParametricKlein()
{
}

//----------------------------------------------------------------------------
void vtkParametricKlein::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 cv = cos(v);
  double sv = sin(v);

  double subX = 3 * cv + 5 * su * cv * cu - 30 * su - 60 * su * pow(cu, 6)
                + 90 * su * pow(cu, 4);
  double subY = 80 * cv * pow(cu, 7) * su + 48 * cv * pow(cu, 6)
                - 80 * cv * pow(cu, 5) * su
                - 48 * cv * pow(cu, 4) - 5 * cv * pow(cu, 3) * su - 3 * cv * pow(cu,
                    2) +
                5 * su * cv * cu + 3 * cv - 60 * su;
  double subZ = 3 + 5 * su * cu;

  // The point
  Pt[0] = -2.0 / 15.0 * cu * subX;
  Pt[1] = -1.0 / 15.0 * su * subY;
  Pt[2] = 2.0 / 15.0 * sv * subZ;

  // The derivatives
  Du[0] = 2.0 / 15.0 * su * subX - 2.0 / 15.0 * cu * (5.0 * cv * pow(cu,
          2)
          - 5.0 * pow(su, 2) * cv - 30.0 * cu - 60.0 * pow(cu, 7)
          + 360.0 * pow(su, 2) * pow(cu, 5)
          + 90.0 * pow(cu, 5) - 360.0 * pow(su, 2) * pow(cu, 3));
  Dv[0] = -2.0 / 15.0 * cu * (-3.0 * sv - 5.0 * su * sv * cu);
  Du[1] = -1.0 / 15.0 * cu * subY - 1.0 / 15.0 * su * (
            -560.0 * cv * pow(cu, 6) * pow(su, 2)
            + 80.0 * cv * pow(cu, 8) - 288 * cv * pow(cu, 5) * su +
            400 * cv * pow(cu, 4) * pow(su, 2)
            - 80.0 * cv * pow(cu, 6) + 192 * cv * pow(cu, 3) * su
            + 15.0 * pow(su, 2) * cv * pow(cu, 2)
            - 5.0 * cv * pow(cu, 4) + 6.0 * su * cv * cu + 5.0 * cv * pow(cu, 2)
            - 5.0 * pow(su, 2) * cv - 60.0 * cu);
  Dv[1] = -1.0 / 15.0 * su * (-80.0 * sv * pow(cu,
                              7) * su - 48.0 * sv * pow(cu, 6)
                              + 80.0 * sv * pow(cu, 5) * su + 48.0 * sv * pow(cu,
                                  4) + 5.0 * sv * pow(cu, 3) * su
                              + 3.0 * sv * pow(cu, 2) - 5.0 * su * sv * cu - 3.0 * sv);
  Du[2] = 2.0 / 15.0 * sv * (5.0 * pow(cu, 2) - 5.0 * pow(su, 2));
  Dv[2] = 2.0 / 15.0 * cv * subZ;
}

//----------------------------------------------------------------------------
double vtkParametricKlein::EvaluateScalar(double*, double*, double*)
{
  return 0;
}

//----------------------------------------------------------------------------
void vtkParametricKlein::PrintSelf(ostream& os, vtkIndent indent)
{
  this->Superclass::PrintSelf(os, indent);
}
