vtk-m/vtkm/worklet/testing/UnitTestSplatKernels.cxx

//============================================================================
//  Copyright (c) Kitware, Inc.
//  All rights reserved.
//  See LICENSE.txt 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.
//
//  Copyright 2014 Sandia Corporation.
//  Copyright 2014 UT-Battelle, LLC.
//  Copyright 2014 Los Alamos National Security.
//
//  Under the terms of Contract DE-AC04-94AL85000 with Sandia Corporation,
//  the U.S. Government retains certain rights in this software.
//
//  Under the terms of Contract DE-AC52-06NA25396 with Los Alamos National
//  Laboratory (LANL), the U.S. Government retains certain rights in
//  this software.
//============================================================================
#include <iostream>
#include <vector>

#include <vtkm/cont/testing/Testing.h>
#include <vtkm/worklet/splatkernels/Gaussian.h>
#include <vtkm/worklet/splatkernels/Spline3rdOrder.h>
/*
#include "KernelBox.h"
#include "KernelCusp.h"
#include "KernelQuadratic.h"
#include "KernelSpline5thOrder.h"
#include "KernelWendland.h"
*/

typedef vtkm::Vec<vtkm::Float64, 3> Vector;

// Simpson integradion rule
double SimpsonIntegration(const std::vector<double> &y,
              const std::vector<double> &x) {
  std::size_t n = x.size()-1;
  const double aux = 2.*(x[n]-x[0])/(3.*static_cast<double>(n));
  double val = 0.5*(y[0]*x[0]+y[n]*x[n]);
  for(std::size_t i=2; i<n; i+=2) {
    val += 2*y[i-1] + y[i];
  }
  val += 2*y[n-1];
  return aux*val;
}

// Integrade a kernel in 3D
template <typename Kernel>
double IntegralOfKernel(const Kernel& ker) {
  const double supportlength = ker.maxDistance();
  const int npoint = 15000;
  std::vector<double> x;
  std::vector<double> y;
  for (int i = 0; i<npoint; i++) {
    const double r = static_cast<double>(i) * supportlength / static_cast<double>(npoint);
    x.push_back(r);
    y.push_back(ker.w(r)*r*r);
  }
  return 4.0*M_PI*SimpsonIntegration(y, x);
}

// Same integration, but using the variable smoothing length interface
template <typename Kernel>
double IntegralOfKernel(const Kernel& ker, double h) {
  const double supportlength = ker.maxDistance();
  const int npoint = 15000;
  std::vector<double> x;
  std::vector<double> y;
  for (int i = 0; i<npoint; i++) {
    const double r = static_cast<double>(i) * supportlength / static_cast<double>(npoint);
    x.push_back(r);
    y.push_back(ker.w(h,r)*r*r);
  }
  return 4.0*M_PI*SimpsonIntegration(y, x);
}


int TestSplatKernels() {
  const double eps = 1e-4;
  double s;
  double smoothinglength;

  std::cout << "Testing Gaussian 3D fixed h kernel integration \n";
  for (int i=0; i<100; ++i) {
    smoothinglength = 0.01 + i*(10.0/100.0);
    s  = IntegralOfKernel(vtkm::worklet::splatkernels::Gaussian<3>(smoothinglength));
    VTKM_TEST_ASSERT ( fabs(s - 1.0) < eps, "Gaussian 3D integration failure");
  }

  std::cout << "Testing Gaussian 3D variable h kernel integration \n";
  for (int i=0; i<100; ++i) {
    smoothinglength = 0.01 + i*(10.0/100.0);
    s  = IntegralOfKernel(vtkm::worklet::splatkernels::Gaussian<3>(smoothinglength),smoothinglength);
    VTKM_TEST_ASSERT ( fabs(s - 1.0) < eps, "Gaussian 3D integration failure");
  }

//  s  = IntegralOfKernel(vtkm::worklet::splatkernels::Gaussian<2>(smoothinglength));
//  VTKM_TEST_ASSERT ( fabs(s - 1.0) < eps, "Gaussian 2D integration failure");

  std::cout << "Testing Spline3rdOrder 3D kernel integration \n";
  for (int i=0; i<100; ++i) {
    smoothinglength = 0.01 + i*(10.0/100.0);
    s  = IntegralOfKernel(vtkm::worklet::splatkernels::Spline3rdOrder<3>(smoothinglength));
    VTKM_TEST_ASSERT ( fabs(s - 1.0) < eps, "Spline3rdOrder 3D integration failure");
  }

//  s  = IntegralOfKernel(vtkm::worklet::splatkernels::Spline3rdOrder<2>(smoothinglength));
//  VTKM_TEST_ASSERT ( fabs(s - 1.0) < eps, "Spline3rdOrder 2D integration failure");

/*
  s  = IntegralOfKernel(KernelBox(ndim, smoothinglength));
  if ( fabs(s - 1.0) > eps) {
    return EXIT_FAILURE;
  }
  s  = IntegralOfKernel(KernelCusp(ndim, smoothinglength));
  if ( fabs(s - 1.0) > eps) {
    return EXIT_FAILURE;
  }
  s  = IntegralOfKernel(KernelGaussian(ndim, smoothinglength));
  if ( fabs(s - 1.0) > eps) {
    return EXIT_FAILURE;
  }
  s  = IntegralOfKernel(KernelQuadratic(ndim, smoothinglength));
  if ( fabs(s - 1.0) > eps) {
    return EXIT_FAILURE;
  }
  s  = IntegralOfKernel(KernelSpline3rdOrder(ndim, smoothinglength));
  if ( fabs(s - 1.0) > eps) {
    return EXIT_FAILURE;
  }
  s  = IntegralOfKernel(KernelSpline5thOrder(ndim, smoothinglength));
  if ( fabs(s - 1.0) > eps) {
    return EXIT_FAILURE;
  }
  s  = IntegralOfKernel(KernelWendland(ndim, smoothinglength));
  if ( fabs(s - 1.0) > eps) {
    return EXIT_FAILURE;
  }
*/
  return EXIT_SUCCESS;
}

int UnitTestSplatKernels(int, char *[])
{
  return vtkm::cont::testing::Testing::Run(TestSplatKernels);
}