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/*****************************************************************************
*
* Copyright (c) 2003-2020 by The University of Queensland
* http://www.uq.edu.au
*
* Primary Business: Queensland, Australia
* Licensed under the Apache License, version 2.0
* http://www.apache.org/licenses/LICENSE-2.0
*
* Development until 2012 by Earth Systems Science Computational Center (ESSCC)
* Development 2012-2013 by School of Earth Sciences
* Development from 2014-2017 by Centre for Geoscience Computing (GeoComp)
* Development from 2019 by School of Earth and Environmental Sciences
**
*****************************************************************************/
#include "SystemMatrixTestCase.h"
#include <ripley/Rectangle.h>
#include <ripley/RipleySystemMatrix.h>
#include <escript/FunctionSpaceFactory.h>
#include <cppunit/TestCaller.h>
using namespace CppUnit;
using namespace std;
// number of matrix rows (for blocksize 1)
const int rows = 20;
// diagonal offsets for full matrix
const int diag_off[] = { -6, -5, -4, -1, 0, 1, 4, 5, 6 };
// to get these reference values save the matrix via saveMM(), then in python:
// print scipy.io.mmread('mat.mtx') * range(20*blocksize)
// reference results - non-symmetric
// block size 1
const double ref_bs1[] =
{ 5800., 6400., 28200., 29200., 72100., 73950.,
145600., 148200., 251200., 254600., 388800., 393000.,
558400., 563400., 608000., 612800., 360600., 363400.,
475800., 479000.};
// block size 2
const double ref_bs2[] =
{ 24455., 24507., 27053., 27105., 118083., 118167.,
122281., 122365., 299244., 299399., 306990., 307145.,
601398., 601614., 612194., 612410., 1031854., 1032134.,
1045850., 1046130., 1590310., 1590654., 1607506., 1607850.,
2276766., 2277174., 2297162., 2297570., 2475540., 2475931.,
2495086., 2495477., 1468199., 1468427., 1479597., 1479825.,
1933027., 1933287., 1946025., 1946285.};
// block size 3
const double ref_bs3[] =
{ 56174., 56294., 56414., 62156., 62276., 62396.,
269954., 270146., 270338., 279536., 279728., 279920.,
681940., 682294., 682648., 699604., 699958., 700312.,
1368088., 1368580., 1369072., 1392652., 1393144., 1393636.,
2342848., 2343484., 2344120., 2374612., 2375248., 2375884.,
3605608., 3606388., 3607168., 3644572., 3645352., 3646132.,
5156368., 5157292., 5158216., 5202532., 5203456., 5204380.,
5603773., 5604658., 5605543., 5647987., 5648872., 5649757.,
3323474., 3323990., 3324506., 3349256., 3349772., 3350288.,
4372454., 4373042., 4373630., 4401836., 4402424., 4403012.};
// block size 4
const double ref_bs4[] =
{ 101334., 101550., 101766., 101982., 112062.,
112278., 112494., 112710., 484358., 484702.,
485046., 485390., 501486., 501830., 502174.,
502518., 1221084., 1221718., 1222352., 1222986.,
1252640., 1253274., 1253908., 1254542., 2446892.,
2447772., 2448652., 2449532., 2490748., 2491628.,
2492508., 2493388., 4185740., 4186876., 4188012.,
4189148., 4242396., 4243532., 4244668., 4245804.,
6436588., 6437980., 6439372., 6440764., 6506044.,
6507436., 6508828., 6510220., 9199436., 9201084.,
9202732., 9204380., 9281692., 9283340., 9284988.,
9286636., 9994708., 9996286., 9997864., 9999442.,
10073464., 10075042., 10076620., 10078198., 5927606.,
5928526., 5929446., 5930366., 5973534., 5974454.,
5975374., 5976294., 7795430., 7796478., 7797526.,
7798574., 7847758., 7848806., 7849854., 7850902.};
const double* ref[] = {ref_bs1, ref_bs2, ref_bs3, ref_bs4};
// reference results - symmetric
// block size 1
const double ref_symm_bs1[] =
{ 5800., 6400., 28200., 29500., 72100., 75600.,
142550., 153300., 243850., 263000., 377150., 404700.,
542450., 578400., 587750., 631100., 336050., 382600.,
446950., 501200.};
// block size 2
const double ref_symm_bs2[] =
{ 24455., 24507., 27202., 27255., 118083., 118167.,
123626., 123719., 298942., 299096., 314374., 314574.,
588036., 588250., 633214., 633510., 1001284., 1001578.,
1080054., 1080446., 1542532., 1542906., 1654894., 1655382.,
2211780., 2212234., 2357734., 2358318., 2393346., 2393799.,
2568842., 2569441., 1368797., 1369103., 1556820., 1557223.,
1816417., 1816771., 2035236., 2035695.};
// block size 3
const double ref_symm_bs3[] =
{ 56174., 56294., 56414., 62596., 62722., 62848.,
269954., 270146., 270338., 282640., 282874., 283108.,
681025., 681376., 681727., 716694., 717246., 717798.,
1337096., 1337600., 1338104., 1440210., 1441050., 1441890.,
2273084., 2273804., 2274524., 2451726., 2452854., 2453982.,
3497072., 3498008., 3498944., 3751242., 3752658., 3754074.,
5009060., 5010212., 5011364., 5338758., 5340462., 5342166.,
5417693., 5418878., 5420063., 5813769., 5815578., 5817387.,
3098622., 3099510., 3100398., 3522842., 3524132., 3525422.,
4108830., 4109862., 4110894., 4602314., 4603784., 4605254.};
// block size 4
const double ref_symm_bs4[] =
{ 101334., 101550., 101766., 101982., 112920.,
113154., 113388., 113622., 484358., 484702.,
485046., 485390., 507000., 507458., 507916.,
508374., 1219228., 1219856., 1220484., 1221112.,
1283176., 1284336., 1285496., 1286656., 2390844.,
2391776., 2392708., 2393640., 2575048., 2576848.,
2578648., 2580448., 4060604., 4061984., 4063364.,
4064744., 4378920., 4381360., 4383800., 4386240.,
6242364., 6244192., 6246020., 6247848., 6694792.,
6697872., 6700952., 6704032., 8936124., 8938400.,
8940676., 8942952., 9522664., 9526384., 9530104.,
9533824., 9662308., 9664706., 9667104., 9669502.,
10366660., 10370694., 10374728., 10378762., 5526118.,
5528050., 5529982., 5531914., 6280848., 6283822.,
6286796., 6289770., 7324854., 7327106., 7329358.,
7331610., 8202640., 8206030., 8209420., 8212810.};
const double* ref_symm[] = {ref_symm_bs1, ref_symm_bs2, ref_symm_bs3, ref_symm_bs4};
/// helper
double lsup(const double* d0, const double* d1, int length)
{
double result = 0.;
for (int i=0; i<length; i++) {
result = std::max(result, std::abs(d0[i] - d1[i]));
//std::cerr << d0[i] << " " << d1[i] << std::endl;
}
return result;
}
TestSuite* SystemMatrixTestCase::suite()
{
TestSuite *testSuite = new TestSuite("SystemMatrixTestCase");
testSuite->addTest(new TestCaller<SystemMatrixTestCase>(
"testSpMV_CPU_blocksize1_nonsymmetric",
&SystemMatrixTestCase::testSpMV_CPU_blocksize1_nonsymmetric));
testSuite->addTest(new TestCaller<SystemMatrixTestCase>(
"testSpMV_CPU_blocksize2_nonsymmetric",
&SystemMatrixTestCase::testSpMV_CPU_blocksize2_nonsymmetric));
testSuite->addTest(new TestCaller<SystemMatrixTestCase>(
"testSpMV_CPU_blocksize3_nonsymmetric",
&SystemMatrixTestCase::testSpMV_CPU_blocksize3_nonsymmetric));
testSuite->addTest(new TestCaller<SystemMatrixTestCase>(
"testSpMV_CPU_blocksize4_nonsymmetric",
&SystemMatrixTestCase::testSpMV_CPU_blocksize4_nonsymmetric));
testSuite->addTest(new TestCaller<SystemMatrixTestCase>(
"testSpMV_CPU_blocksize1_symmetric",
&SystemMatrixTestCase::testSpMV_CPU_blocksize1_symmetric));
testSuite->addTest(new TestCaller<SystemMatrixTestCase>(
"testSpMV_CPU_blocksize2_symmetric",
&SystemMatrixTestCase::testSpMV_CPU_blocksize2_symmetric));
testSuite->addTest(new TestCaller<SystemMatrixTestCase>(
"testSpMV_CPU_blocksize3_symmetric",
&SystemMatrixTestCase::testSpMV_CPU_blocksize3_symmetric));
testSuite->addTest(new TestCaller<SystemMatrixTestCase>(
"testSpMV_CPU_blocksize4_symmetric",
&SystemMatrixTestCase::testSpMV_CPU_blocksize4_symmetric));
return testSuite;
}
void SystemMatrixTestCase::setUp()
{
mpiInfo = escript::makeInfo(MPI_COMM_WORLD);
domain.reset(new ripley::Rectangle(4, 3, 0., 0., 1., 1.));
}
escript::ASM_ptr SystemMatrixTestCase::createMatrix(int blocksize,
bool symmetric)
{
escript::FunctionSpace fs(escript::solution(*domain));
const int firstdiag = (symmetric ? 4 : 0);
const ripley::IndexVector offsets(diag_off+firstdiag, diag_off+9);
// create a matrix with 9 diagonals, given blocksize and symmetric flag
escript::ASM_ptr matptr(new ripley::SystemMatrix(mpiInfo, blocksize, fs,
rows, offsets, symmetric));
ripley::SystemMatrix* mat(dynamic_cast<ripley::SystemMatrix*>(matptr.get()));
ripley::IndexVector rowIdx(4);
std::vector<double> array(4*4*blocksize*blocksize);
for (int i=0; i<8; i++) {
rowIdx[0] = 2*i;
rowIdx[1] = 2*i+1;
rowIdx[2] = 2*i+4;
rowIdx[3] = 2*i+5;
for (int j=0; j<4*4; j++) {
for (int k=0; k<blocksize; k++) {
for (int l=0; l<blocksize; l++) {
// make main diagonal blocks symmetric since the current
// implementation actually reads full main diagonal blocks
// so if symmetric flag is set the matrix really has to be
// symmetric!
array[j*blocksize*blocksize + k*blocksize + l] =
(j%5==0 ? 1000*i+50*j+k+l : 1000*i+50*j+blocksize*k+l);
}
}
}
mat->add(rowIdx, array);
}
//mat->saveMM("/tmp/test.mtx");
return matptr;
}
escript::Data SystemMatrixTestCase::createInputVector(int blocksize)
{
escript::FunctionSpace fs(escript::solution(*domain));
escript::DataTypes::ShapeType shape;
if (blocksize > 1)
shape.push_back(blocksize);
escript::Data x(0., shape, fs, true);
for (int i=0; i<rows; i++) {
double* xx= x.getSampleDataRW(i);
for (int j=0; j<blocksize; j++)
xx[j] = (double)i*blocksize + j;
}
return x;
}
void SystemMatrixTestCase::testSpMV_CPU_blocksize1_nonsymmetric()
{
int blocksize = 1;
bool symmetric = false;
escript::ASM_ptr mat(createMatrix(blocksize, symmetric));
const escript::Data x(createInputVector(blocksize));
const escript::Data y(mat->vectorMultiply(x));
const double* yref = ref[blocksize-1];
const double* yy = y.getSampleDataRO(0);
double error = lsup(yref, yy, blocksize*rows);
CPPUNIT_ASSERT(error < 1e-12);
}
void SystemMatrixTestCase::testSpMV_CPU_blocksize2_nonsymmetric()
{
int blocksize = 2;
bool symmetric = false;
escript::ASM_ptr mat(createMatrix(blocksize, symmetric));
const escript::Data x(createInputVector(blocksize));
const escript::Data y(mat->vectorMultiply(x));
const double* yref = ref[blocksize-1];
const double* yy = y.getSampleDataRO(0);
double error = lsup(yref, yy, blocksize*rows);
CPPUNIT_ASSERT(error < 1e-12);
}
void SystemMatrixTestCase::testSpMV_CPU_blocksize3_nonsymmetric()
{
int blocksize = 3;
bool symmetric = false;
escript::ASM_ptr mat(createMatrix(blocksize, symmetric));
const escript::Data x(createInputVector(blocksize));
const escript::Data y(mat->vectorMultiply(x));
const double* yref = ref[blocksize-1];
const double* yy = y.getSampleDataRO(0);
double error = lsup(yref, yy, blocksize*rows);
CPPUNIT_ASSERT(error < 1e-12);
}
void SystemMatrixTestCase::testSpMV_CPU_blocksize4_nonsymmetric()
{
int blocksize = 4;
bool symmetric = false;
escript::ASM_ptr mat(createMatrix(blocksize, symmetric));
const escript::Data x(createInputVector(blocksize));
const escript::Data y(mat->vectorMultiply(x));
const double* yref = ref[blocksize-1];
const double* yy = y.getSampleDataRO(0);
double error = lsup(yref, yy, blocksize*rows);
CPPUNIT_ASSERT(error < 1e-12);
}
void SystemMatrixTestCase::testSpMV_CPU_blocksize1_symmetric()
{
int blocksize = 1;
bool symmetric = true;
escript::ASM_ptr mat(createMatrix(blocksize, symmetric));
const escript::Data x(createInputVector(blocksize));
const escript::Data y(mat->vectorMultiply(x));
const double* yref = ref_symm[blocksize-1];
const double* yy = y.getSampleDataRO(0);
double error = lsup(yref, yy, blocksize*rows);
CPPUNIT_ASSERT(error < 1e-12);
}
void SystemMatrixTestCase::testSpMV_CPU_blocksize2_symmetric()
{
int blocksize = 2;
bool symmetric = true;
escript::ASM_ptr mat(createMatrix(blocksize, symmetric));
const escript::Data x(createInputVector(blocksize));
const escript::Data y(mat->vectorMultiply(x));
const double* yref = ref_symm[blocksize-1];
const double* yy = y.getSampleDataRO(0);
double error = lsup(yref, yy, blocksize*rows);
CPPUNIT_ASSERT(error < 1e-12);
}
void SystemMatrixTestCase::testSpMV_CPU_blocksize3_symmetric()
{
int blocksize = 3;
bool symmetric = true;
escript::ASM_ptr mat(createMatrix(blocksize, symmetric));
const escript::Data x(createInputVector(blocksize));
const escript::Data y(mat->vectorMultiply(x));
const double* yref = ref_symm[blocksize-1];
const double* yy = y.getSampleDataRO(0);
double error = lsup(yref, yy, blocksize*rows);
CPPUNIT_ASSERT(error < 1e-12);
}
void SystemMatrixTestCase::testSpMV_CPU_blocksize4_symmetric()
{
int blocksize = 4;
bool symmetric = true;
escript::ASM_ptr mat(createMatrix(blocksize, symmetric));
const escript::Data x(createInputVector(blocksize));
const escript::Data y(mat->vectorMultiply(x));
const double* yref = ref_symm[blocksize-1];
const double* yy = y.getSampleDataRO(0);
double error = lsup(yref, yy, blocksize*rows);
CPPUNIT_ASSERT(error < 1e-12);
}
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