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// @HEADER
// ************************************************************************
//
// Intrepid2 Package
// Copyright (2007) Sandia Corporation
//
// Under terms of Contract DE-AC04-94AL85000, there is a non-exclusive
// license for use of this work by or on behalf of the U.S. Government.
//
// Redistribution and use in source and binary forms, with or without
// modification, are permitted provided that the following conditions are
// met:
//
// 1. Redistributions of source code must retain the above copyright
// notice, this list of conditions and the following disclaimer.
//
// 2. Redistributions in binary form must reproduce the above copyright
// notice, this list of conditions and the following disclaimer in the
// documentation and/or other materials provided with the distribution.
//
// 3. Neither the name of the Corporation nor the names of the
// contributors may be used to endorse or promote products derived from
// this software without specific prior written permission.
//
// THIS SOFTWARE IS PROVIDED BY SANDIA CORPORATION "AS IS" AND ANY
// EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
// IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
// PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL SANDIA CORPORATION OR THE
// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
// LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
//
// Questions? Contact Kyungjoo Kim (kyukim@sandia.gov), or
// Mauro Perego (mperego@sandia.gov)
//
// ************************************************************************
// @HEADER
/** \file
\brief Unit test (CubatureDirect,CubatureTensor): correctness of
integration of monomials for 3D reference cells.
\author Created by P. Bochev, D. Ridzal and Kyungjoo Kim
*/
#include "Intrepid2_config.h"
#ifdef HAVE_INTREPID2_DEBUG
#define INTREPID2_TEST_FOR_DEBUG_ABORT_OVERRIDE_TO_CONTINUE
#endif
#include "Intrepid2_Types.hpp"
#include "Intrepid2_Utils.hpp"
#include "Intrepid2_Utils_ExtData.hpp"
#include "Intrepid2_CubatureDirectLineGauss.hpp"
#include "Intrepid2_CubatureDirectLineGaussJacobi20.hpp"
#include "Intrepid2_CubatureTensor.hpp"
#include "Intrepid2_CubatureTensorPyr.hpp"
#include "Teuchos_oblackholestream.hpp"
#include "Teuchos_RCP.hpp"
#include "test_util.hpp"
namespace Intrepid2 {
namespace Test {
#define INTREPID2_TEST_ERROR_EXPECTED( S ) \
try { \
++nthrow; \
S ; \
} catch (std::logic_error err) { \
++ncatch; \
*outStream << "Expected Error ----------------------------------------------------------------\n"; \
*outStream << err.what() << '\n'; \
*outStream << "-------------------------------------------------------------------------------" << "\n\n"; \
};
template<typename ValueType, typename DeviceSpaceType>
int Integration_Test07(const bool verbose) {
Teuchos::RCP<std::ostream> outStream;
Teuchos::oblackholestream bhs; // outputs nothing
if (verbose)
outStream = Teuchos::rcp(&std::cout, false);
else
outStream = Teuchos::rcp(&bhs, false);
Teuchos::oblackholestream oldFormatState;
oldFormatState.copyfmt(std::cout);
typedef typename
Kokkos::Impl::is_space<DeviceSpaceType>::host_mirror_space::execution_space HostSpaceType ;
*outStream << "DeviceSpace:: "; DeviceSpaceType::print_configuration(*outStream, false);
*outStream << "HostSpace:: "; HostSpaceType::print_configuration(*outStream, false);
*outStream
<< "===============================================================================\n"
<< "| |\n"
<< "| Unit Test (CubatureDirect,CubatureTensor,DefaultCubatureFactory) |\n"
<< "| |\n"
<< "| 1) Computing integrals of monomials on reference cells in 3D |\n"
<< "| |\n"
<< "| Questions? Contact Pavel Bochev (pbboche@sandia.gov) or |\n"
<< "| Denis Ridzal (dridzal@sandia.gov) or |\n"
<< "| Kyungjoo Kim (kyukim@sandia.gov). |\n"
<< "| |\n"
<< "| Intrepid's website: http://trilinos.sandia.gov/packages/intrepid |\n"
<< "| Trilinos website: http://trilinos.sandia.gov |\n"
<< "| |\n"
<< "===============================================================================\n"
<< "| TEST 1: integrals of monomials in 3D |\n"
<< "===============================================================================\n";
typedef Kokkos::DynRankView<ValueType,DeviceSpaceType> DynRankView;
#define ConstructWithLabel(obj, ...) obj(#obj, __VA_ARGS__)
typedef ValueType pointValueType;
typedef ValueType weightValueType;
typedef CubatureDirectLineGauss<DeviceSpaceType,pointValueType,weightValueType> CubatureLineType;
typedef CubatureDirectLineGaussJacobi20<DeviceSpaceType,pointValueType,weightValueType> CubatureLineJacobiType;
typedef CubatureTensorPyr<DeviceSpaceType,pointValueType,weightValueType> CubatureTensorPyrType;
// tolerence is too tight to test upto order 20
const auto tol = 1000.0 * tolerence();
int errorFlag = 0;
// get names of files with analytic values
std::string basedir = "../data";
std::stringstream namestream;
std::string filename;
namestream << basedir << "/PYR_integrals" << ".dat";
namestream >> filename;
*outStream << "filename = " << filename << std::endl;
std::ifstream filecompare(filename);
// compute and compare integrals
try {
// cannot test maxcubature degree edge (20) as max integration point is limited by 1001.
const auto maxDeg = Parameters::MaxCubatureDegreePyr;
const auto polySize = (maxDeg+1)*(maxDeg+2)*(maxDeg+3)/6;
// test inegral values
DynRankView ConstructWithLabel(testInt, maxDeg+1, polySize);
// analytic integral values
const auto analyticMaxDeg = 11;
const auto analyticPolySize = (analyticMaxDeg+1)*(analyticMaxDeg+2)*(analyticMaxDeg+3)/6;
DynRankView ConstructWithLabel(analyticInt, analyticPolySize, 1);
// storage for cubatrue points and weights
DynRankView ConstructWithLabel(cubPoints,
Parameters::MaxIntegrationPoints,
Parameters::MaxDimension);
DynRankView ConstructWithLabel(cubWeights,
Parameters::MaxIntegrationPoints);
// compute integrals
for (auto cubDeg=0;cubDeg<=maxDeg;++cubDeg) {
CubatureLineType xy_line(cubDeg);
CubatureLineJacobiType z_line(cubDeg);
CubatureTensorPyrType pyrCub( xy_line, xy_line, z_line );
*outStream << "Cubature order " << std::setw(2) << std::left << cubDeg << " Testing\n";
ordinal_type cnt = 0;
for (auto xDeg=0;xDeg<=cubDeg;++xDeg)
for (auto yDeg=0;yDeg<=(cubDeg-xDeg);++yDeg)
for (auto zDeg=0;zDeg<=(cubDeg-xDeg-yDeg);++zDeg,++cnt) {
testInt(cubDeg, cnt) = computeIntegralOfMonomial<ValueType>(pyrCub,
cubPoints,
cubWeights,
xDeg,
yDeg,
zDeg);
}
}
// get analytic values
if (filecompare.is_open()) {
getAnalytic(analyticInt, filecompare);
filecompare.close();
}
// perform comparison
for (auto cubDeg=0;cubDeg<=maxDeg;++cubDeg) {
const auto y_offs = (analyticMaxDeg - cubDeg);
const auto x_offs = y_offs*(y_offs + 1)/2;
ordinal_type offset = 0, cnt = 0;
const auto oldFlag = errorFlag;
for (auto xDeg=0;xDeg<=cubDeg;++xDeg,offset += x_offs)
for (auto yDeg=0;yDeg<=(cubDeg-xDeg);++yDeg,offset += y_offs)
for (auto zDeg=0;zDeg<=(cubDeg-xDeg-yDeg);++zDeg,++cnt) {
const auto loc = cnt + offset;
const auto abstol = ( analyticInt(loc,0) == 0.0 ? tol : std::fabs(tol*analyticInt(loc,0)) );
const auto absdiff = std::fabs(analyticInt(loc,0) - testInt(cubDeg,cnt));
if (absdiff > abstol) {
*outStream << "Cubature order " << std::setw(2) << std::left << cubDeg << " integrating "
<< "x^" << std::setw(2) << std::left << xDeg << " * y^" << std::setw(2) << yDeg
<< " * z^" << std::setw(2) << zDeg << ":" << " "
<< std::scientific << std::setprecision(16)
<< testInt(cubDeg,cnt) << " " << analyticInt(loc,0) << " "
<< std::setprecision(4) << absdiff << " " << "<?" << " " << abstol << "\n";
errorFlag++;
*outStream << std::right << std::setw(118) << "^^^^---FAILURE!\n";
}
}
*outStream << "Cubature order " << std::setw(2) << std::left << cubDeg
<< (errorFlag == oldFlag ? " PASSED" : " FAILED") << std::endl;
}
*outStream << "\n";
} catch (std::logic_error err) {
*outStream << err.what() << "\n";
errorFlag = -1;
}
if (errorFlag != 0)
std::cout << "End Result: TEST FAILED\n";
else
std::cout << "End Result: TEST PASSED\n";
// reset format state of std::cout
std::cout.copyfmt(oldFormatState);
return errorFlag;
}
}
}
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