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test_matrix.cc
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test_matrix.cc
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/**
* @file test_matrix.cc
*
* @author Nicolas Richart <nicolas.richart@epfl.ch>
*
* @date creation: Thu Mar 03 2011
* @date last modification: Sun Oct 19 2014
*
* @brief tests for Matrix
*
* @section LICENSE
*
* Copyright (©) 2010-2012, 2014, 2015 EPFL (Ecole Polytechnique Fédérale de
* Lausanne) Laboratory (LSMS - Laboratoire de Simulation en Mécanique des
* Solides)
*
* Akantu is free software: you can redistribute it and/or modify it under the
* terms of the GNU Lesser General Public License as published by the Free
* Software Foundation, either version 3 of the License, or (at your option) any
* later version.
*
* Akantu is distributed in the hope that it will be useful, but WITHOUT ANY
* WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR
* A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more
* details.
*
* You should have received a copy of the GNU Lesser General Public License
* along with Akantu. If not, see <http://www.gnu.org/licenses/>.
*
*/
/* -------------------------------------------------------------------------- */
#include "aka_common.hh"
#include "aka_types.hh"
#include "aka_array.hh"
#include "aka_math.hh"
/* -------------------------------------------------------------------------- */
#include <cstdlib>
#include <sys/time.h>
#include <iostream>
/* -------------------------------------------------------------------------- */
using namespace akantu;
int main() {
#define n 4
UInt nbm = 10000;
Real time;
Matrix<Real> eig_test(3, 3);
eig_test(0, 0) = 0; eig_test(0, 1) = 1; eig_test(0, 2) = 0;
eig_test(1, 0) = 1; eig_test(1, 1) = 0; eig_test(1, 2) = 0;
eig_test(2, 0) = 0; eig_test(2, 1) = 0; eig_test(2, 2) = 1;
Matrix<Real> eig_vects(3, 3);
Vector<Real> eigs(3);
eig_test.eig(eigs, eig_vects);
std::cout << "A: " << eig_test << std::endl;
std::cout << "eig(A): " << eigs << " " << Vector<Real>(eig_vects(0)) << " " << Vector<Real>(eig_vects(1)) << " " << Vector<Real>(eig_vects(2)) << std::endl;
Matrix<Real> check_eig_vects(3, 3);
check_eig_vects(0, 0) = 1./std::sqrt(2); check_eig_vects(0, 1) = 0; check_eig_vects(0, 2) = -1./std::sqrt(2);
check_eig_vects(1, 0) = 1./std::sqrt(2); check_eig_vects(1, 1) = 0; check_eig_vects(1, 2) = 1./std::sqrt(2);
check_eig_vects(2, 0) = 0; check_eig_vects(2, 1) = 1; check_eig_vects(2, 2) = 0;
for (UInt i = 0; i < 3; ++i) {
Vector<Real> eig_v = eig_vects(i);
Vector<Real> check_eig_v = check_eig_vects(i);
if(! check_eig_v.equal(eig_v, 1e-14)) {
AKANTU_DEBUG_ERROR("The " << i << "th eigen vector is not correct: " << eig_v << " should be " << check_eig_v);
}
}
Array<Real> A(nbm, n*n);
Array<Real> B(nbm, n*n);
Array<Real> C1(nbm, n*n);
Array<Real> C2(nbm, n*n);
Array<Real> C3(nbm, n*n);
Array<Real> C4(nbm, n*n);
for (UInt i = 0; i < n*n; ++i) {
A.storage()[i] = drand48();
B.storage()[i] = drand48();
}
for (UInt i = 1; i < nbm; ++i) {
memcpy(A.storage() + i * n * n, A.storage(), n*n*sizeof(Real));
memcpy(B.storage() + i * n * n, B.storage(), n*n*sizeof(Real));
}
struct timeval begin, end;
Array<Real>::matrix_iterator itA = A.begin(n,n);
Array<Real>::matrix_iterator itB = B.begin(n,n);
itA = A.begin(n,n);
itB = B.begin(n,n);
std::cerr << *itA << std::endl;
std::cerr << *itB << std::endl;
/* ------------------------------------------------------------------------ */
gettimeofday(&begin, NULL);
Math::matrix_matrix(n, n, n, A, B, C1);
gettimeofday(&end, NULL);
//time = (end.tv_sec * 1e3 + end.tv_usec * 1e-3) - (begin.tv_sec * 1e3 + begin.tv_usec * 1e-3);
time = (end.tv_sec * 1e6 + end.tv_usec) - (begin.tv_sec * 1e6 + begin.tv_usec);
std::cout << "matrix_matrix : " << std::fixed << time/nbm << "us" << std::endl;
/* ------------------------------------------------------------------------ */
Array<Real>::matrix_iterator itC = C2.begin(n,n);
gettimeofday(&begin, NULL);
for (UInt i = 0; i < nbm; ++i) {
Matrix<Real> & C = *itC;
C = *itA * *itB;
++itA; ++itB;++itC;
}
gettimeofday(&end, NULL);
itC = C2.begin(n,n);
std::cerr << *itC << std::endl;
time = (end.tv_sec * 1e6 + end.tv_usec) - (begin.tv_sec * 1e6 + begin.tv_usec);
std::cout << "it Mc() = it Ma() * it Mb() : " << std::fixed << time/nbm << "us" << std::endl;
/* ------------------------------------------------------------------------ */
Array<Real>::matrix_iterator muitA = A.begin(n,n);
Array<Real>::matrix_iterator muitB = B.begin(n,n);
Array<Real>::matrix_iterator muitC = C4.begin(n,n);
gettimeofday(&begin, NULL);
for (UInt i = 0; i < nbm; ++i) {
muitC->mul<false, false>(*muitA, *muitB);
++muitA; ++muitB;++muitC;
}
gettimeofday(&end, NULL);
muitC = C4.begin(n,n);
std::cerr << *muitC << std::endl;
time = (end.tv_sec * 1e6 + end.tv_usec) - (begin.tv_sec * 1e6 + begin.tv_usec);
std::cout << "it Mc.mul( it Ma(), it Mb()) : " << std::fixed << time/nbm << "us" << std::endl;
return 0;
}

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