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April 3, 2012 04:35
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lightning fast matrices of random numbers with Eigen and Tina's Random Number Generator
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// AUTHOR: Stephen J. Barr | |
#include <trng/config.hpp> | |
#if defined TRNG_HAVE_OPENMP | |
#include <cstdlib> | |
#include <iostream> | |
#include <omp.h> | |
#include <trng/yarn2.hpp> | |
#include <trng/uniform01_dist.hpp> | |
#include <Eigen/Dense> | |
using namespace Eigen; | |
using namespace std; | |
int main(int argc, char *argv[]) { | |
long Nrow = 500000; | |
long Ncol = 3000; | |
long samples= Nrow * Ncol; // total number of points in square | |
long in=0l; // number of points in circle | |
// distribute workload over all processes and make a global reduction | |
MatrixXd xmat = MatrixXd(int(samples), 1); | |
#pragma omp parallel | |
{ | |
trng::yarn2 r; // random number engine | |
int size=omp_get_num_threads(); // get total number of processes | |
int rank=omp_get_thread_num(); // get rank of current process | |
//cout << "size: " << size << " rank: " << rank << endl; | |
trng::uniform01_dist<> u; // random number distribution | |
r.jump(2*(rank*samples/size)); // jump ahead | |
// throw random points into square | |
for (long i=rank*samples/size; i<(rank+1)*samples/size; ++i) { | |
double x=u(r); | |
xmat(i,0) = x; | |
} | |
} | |
xmat.resize(Nrow, Ncol); | |
cout << "Created a random matrix: " << Nrow << " x " << Ncol << endl; | |
cout << "Mean is: " << xmat.mean() << endl; | |
return EXIT_SUCCESS; | |
} | |
#else | |
#include <cstdlib> | |
#include <iostream> | |
int main() { | |
std::cerr << "Sorry, OpenMP is not supported by your compiler.\n"; | |
return EXIT_FAILURE; | |
} | |
#endif | |
// STEPHEN BARR'S NOTE: | |
// This code borrow's the inner loop from Heiko Bauke's pi_block_openmp.cc | |
// which contains the following notice: | |
// Copyright (c) 2000-2010, Heiko Bauke | |
// All rights reserved. | |
// | |
// Redistribution and use in source and binary forms, with or without | |
// modification, are permitted provided that the following conditions | |
// are met: | |
// | |
// * Redistributions of source code must retain the above copyright | |
// notice, this list of conditions and the following disclaimer. | |
// | |
// * 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. | |
// | |
// * Neither the name of the copyright holder nor the names of its | |
// contributors may be used to endorse or promote products derived | |
// from this software without specific prior written permission. | |
// | |
// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS | |
// "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 THE | |
// COPYRIGHT HOLDERS OR 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. |
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