150 lines
4.9 KiB
C++
150 lines
4.9 KiB
C++
//============================================================================
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// Copyright (c) Kitware, Inc.
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// All rights reserved.
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// See LICENSE.txt for details.
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// This software is distributed WITHOUT ANY WARRANTY; without even
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// the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
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// PURPOSE. See the above copyright notice for more information.
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//
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// Copyright 2014 Sandia Corporation.
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// Copyright 2014 UT-Battelle, LLC.
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// Copyright 2014 Los Alamos National Security.
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//
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// Under the terms of Contract DE-AC04-94AL85000 with Sandia Corporation,
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// the U.S. Government retains certain rights in this software.
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//
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// Under the terms of Contract DE-AC52-06NA25396 with Los Alamos National
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// Laboratory (LANL), the U.S. Government retains certain rights in
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// this software.
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//============================================================================
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#include <iostream>
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#include <vector>
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#include <vtkm/cont/testing/Testing.h>
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#include <vtkm/worklet/splatkernels/Gaussian.h>
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#include <vtkm/worklet/splatkernels/Spline3rdOrder.h>
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/*
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#include "KernelBox.h"
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#include "KernelCusp.h"
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#include "KernelQuadratic.h"
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#include "KernelSpline5thOrder.h"
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#include "KernelWendland.h"
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*/
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typedef vtkm::Vec<vtkm::Float64, 3> Vector;
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// Simpson integradion rule
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double SimpsonIntegration(const std::vector<double> &y,
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const std::vector<double> &x) {
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std::size_t n = x.size()-1;
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const double aux = 2.*(x[n]-x[0])/(3.*static_cast<double>(n));
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double val = 0.5*(y[0]*x[0]+y[n]*x[n]);
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for(std::size_t i=2; i<n; i+=2) {
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val += 2*y[i-1] + y[i];
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}
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val += 2*y[n-1];
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return aux*val;
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}
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// Integrade a kernel in 3D
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template <typename Kernel>
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double IntegralOfKernel(const Kernel& ker) {
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const double supportlength = ker.maxDistance();
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const int npoint = 15000;
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std::vector<double> x;
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std::vector<double> y;
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for (int i = 0; i<npoint; i++) {
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const double r = static_cast<double>(i) * supportlength / static_cast<double>(npoint);
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x.push_back(r);
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y.push_back(ker.w(r)*r*r);
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}
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return 4.0*M_PI*SimpsonIntegration(y, x);
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}
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// Same integration, but using the variable smoothing length interface
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template <typename Kernel>
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double IntegralOfKernel(const Kernel& ker, double h) {
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const double supportlength = ker.maxDistance();
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const int npoint = 15000;
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std::vector<double> x;
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std::vector<double> y;
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for (int i = 0; i<npoint; i++) {
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const double r = static_cast<double>(i) * supportlength / static_cast<double>(npoint);
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x.push_back(r);
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y.push_back(ker.w(h,r)*r*r);
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}
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return 4.0*M_PI*SimpsonIntegration(y, x);
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}
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int TestSplatKernels() {
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const double eps = 1e-4;
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double s;
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double smoothinglength;
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std::cout << "Testing Gaussian 3D fixed h kernel integration \n";
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for (int i=0; i<100; ++i) {
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smoothinglength = 0.01 + i*(10.0/100.0);
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s = IntegralOfKernel(vtkm::worklet::splatkernels::Gaussian<3>(smoothinglength));
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VTKM_TEST_ASSERT ( fabs(s - 1.0) < eps, "Gaussian 3D integration failure");
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}
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std::cout << "Testing Gaussian 3D variable h kernel integration \n";
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for (int i=0; i<100; ++i) {
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smoothinglength = 0.01 + i*(10.0/100.0);
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s = IntegralOfKernel(vtkm::worklet::splatkernels::Gaussian<3>(smoothinglength),smoothinglength);
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VTKM_TEST_ASSERT ( fabs(s - 1.0) < eps, "Gaussian 3D integration failure");
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}
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// s = IntegralOfKernel(vtkm::worklet::splatkernels::Gaussian<2>(smoothinglength));
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// VTKM_TEST_ASSERT ( fabs(s - 1.0) < eps, "Gaussian 2D integration failure");
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std::cout << "Testing Spline3rdOrder 3D kernel integration \n";
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for (int i=0; i<100; ++i) {
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smoothinglength = 0.01 + i*(10.0/100.0);
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s = IntegralOfKernel(vtkm::worklet::splatkernels::Spline3rdOrder<3>(smoothinglength));
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VTKM_TEST_ASSERT ( fabs(s - 1.0) < eps, "Spline3rdOrder 3D integration failure");
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}
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// s = IntegralOfKernel(vtkm::worklet::splatkernels::Spline3rdOrder<2>(smoothinglength));
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// VTKM_TEST_ASSERT ( fabs(s - 1.0) < eps, "Spline3rdOrder 2D integration failure");
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/*
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s = IntegralOfKernel(KernelBox(ndim, smoothinglength));
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if ( fabs(s - 1.0) > eps) {
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return EXIT_FAILURE;
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}
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s = IntegralOfKernel(KernelCusp(ndim, smoothinglength));
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if ( fabs(s - 1.0) > eps) {
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return EXIT_FAILURE;
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}
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s = IntegralOfKernel(KernelGaussian(ndim, smoothinglength));
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if ( fabs(s - 1.0) > eps) {
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return EXIT_FAILURE;
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}
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s = IntegralOfKernel(KernelQuadratic(ndim, smoothinglength));
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if ( fabs(s - 1.0) > eps) {
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return EXIT_FAILURE;
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}
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s = IntegralOfKernel(KernelSpline3rdOrder(ndim, smoothinglength));
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if ( fabs(s - 1.0) > eps) {
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return EXIT_FAILURE;
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}
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s = IntegralOfKernel(KernelSpline5thOrder(ndim, smoothinglength));
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if ( fabs(s - 1.0) > eps) {
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return EXIT_FAILURE;
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}
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s = IntegralOfKernel(KernelWendland(ndim, smoothinglength));
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if ( fabs(s - 1.0) > eps) {
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return EXIT_FAILURE;
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}
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*/
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return EXIT_SUCCESS;
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}
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int UnitTestSplatKernels(int, char *[])
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{
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return vtkm::cont::testing::Testing::Run(TestSplatKernels);
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}
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