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https://gitlab.com/libeigen/eigen.git
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* added innerSize / outerSize functions to MatrixBase
* added complete implementation of sparse matrix product (with a little glue in Eigen/Core) * added an exhaustive bench of sparse products including GMM++ and MTL4 => Eigen outperforms in all transposed/density configurations !
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bench/sparse_product.cpp
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199
bench/sparse_product.cpp
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//g++ -O3 -g0 -DNDEBUG sparse_product.cpp -I.. -I/home/gael/Coding/LinearAlgebra/mtl4/ -DDENSITY=0.005 -DSIZE=10000 && ./a.out
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//g++ -O3 -g0 -DNDEBUG sparse_product.cpp -I.. -I/home/gael/Coding/LinearAlgebra/mtl4/ -DDENSITY=0.05 -DSIZE=2000 && ./a.out
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// -DNOGMM -DNOMTL
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#ifndef SIZE
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#define SIZE 10000
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#endif
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#ifndef DENSITY
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#define DENSITY 0.01
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#endif
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#ifndef REPEAT
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#define REPEAT 1
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#endif
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#include "BenchSparseUtil.h"
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#ifndef MINDENSITY
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#define MINDENSITY 0.0004
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#endif
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int main(int argc, char *argv[])
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{
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int rows = SIZE;
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int cols = SIZE;
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float density = DENSITY;
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EigenSparseMatrix sm1(rows,cols), sm2(rows,cols), sm3(rows,cols), sm4(rows,cols);
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BenchTimer timer;
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for (float density = DENSITY; density>=MINDENSITY; density*=0.5)
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{
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fillMatrix(density, rows, cols, sm1);
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fillMatrix(density, rows, cols, sm2);
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// dense matrices
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#ifdef DENSEMATRIX
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{
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std::cout << "Eigen Dense\t" << density*100 << "%\n";
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DenseMatrix m1(rows,cols), m2(rows,cols), m3(rows,cols);
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eiToDense(sm1, m1);
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eiToDense(sm2, m2);
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timer.reset();
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timer.start();
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for (int k=0; k<REPEAT; ++k)
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m3 = m1 * m2;
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timer.stop();
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std::cout << " a * b:\t" << timer.value() << endl;
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timer.reset();
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timer.start();
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for (int k=0; k<REPEAT; ++k)
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m3 = m1.transpose() * m2;
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timer.stop();
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std::cout << " a' * b:\t" << timer.value() << endl;
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timer.reset();
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timer.start();
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for (int k=0; k<REPEAT; ++k)
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m3 = m1.transpose() * m2.transpose();
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timer.stop();
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std::cout << " a' * b':\t" << timer.value() << endl;
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timer.reset();
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timer.start();
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for (int k=0; k<REPEAT; ++k)
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m3 = m1 * m2.transpose();
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timer.stop();
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std::cout << " a * b':\t" << timer.value() << endl;
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}
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#endif
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// eigen sparse matrices
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{
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std::cout << "Eigen sparse\t" << density*100 << "%\n";
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timer.reset();
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timer.start();
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for (int k=0; k<REPEAT; ++k)
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sm3 = sm1 * sm2;
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timer.stop();
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std::cout << " a * b:\t" << timer.value() << endl;
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timer.reset();
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timer.start();
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for (int k=0; k<REPEAT; ++k)
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sm3 = sm1.transpose() * sm2;
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timer.stop();
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std::cout << " a' * b:\t" << timer.value() << endl;
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timer.reset();
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timer.start();
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for (int k=0; k<REPEAT; ++k)
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sm3 = sm1.transpose() * sm2.transpose();
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timer.stop();
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std::cout << " a' * b':\t" << timer.value() << endl;
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timer.reset();
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timer.start();
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for (int k=0; k<REPEAT; ++k)
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sm3 = sm1 * sm2.transpose();
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timer.stop();
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std::cout << " a * b' :\t" << timer.value() << endl;
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}
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// GMM++
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#ifndef NOGMM
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{
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std::cout << "GMM++ sparse\t" << density*100 << "%\n";
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GmmDynSparse gmmT3(rows,cols);
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GmmSparse m1(rows,cols), m2(rows,cols), m3(rows,cols);
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eiToGmm(sm1, m1);
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eiToGmm(sm2, m2);
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timer.reset();
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timer.start();
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for (int k=0; k<REPEAT; ++k)
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gmm::mult(m1, m2, gmmT3);
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timer.stop();
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std::cout << " a * b:\t" << timer.value() << endl;
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timer.reset();
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timer.start();
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for (int k=0; k<REPEAT; ++k)
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gmm::mult(gmm::transposed(m1), m2, gmmT3);
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timer.stop();
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std::cout << " a' * b:\t" << timer.value() << endl;
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if (rows<500)
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{
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timer.reset();
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timer.start();
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for (int k=0; k<REPEAT; ++k)
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gmm::mult(gmm::transposed(m1), gmm::transposed(m2), gmmT3);
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timer.stop();
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std::cout << " a' * b':\t" << timer.value() << endl;
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timer.reset();
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timer.start();
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for (int k=0; k<REPEAT; ++k)
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gmm::mult(m1, gmm::transposed(m2), gmmT3);
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timer.stop();
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std::cout << " a * b':\t" << timer.value() << endl;
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}
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else
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{
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std::cout << " a' * b':\t" << "forever" << endl;
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std::cout << " a * b':\t" << "forever" << endl;
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}
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}
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#endif
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// MTL4
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#ifndef NOMTL
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{
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std::cout << "MTL4\t" << density*100 << "%\n";
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MtlSparse m1(rows,cols), m2(rows,cols), m3(rows,cols);
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eiToMtl(sm1, m1);
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eiToMtl(sm2, m2);
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timer.reset();
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timer.start();
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for (int k=0; k<REPEAT; ++k)
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m3 = m1 * m2;
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timer.stop();
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std::cout << " a * b:\t" << timer.value() << endl;
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timer.reset();
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timer.start();
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for (int k=0; k<REPEAT; ++k)
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m3 = trans(m1) * m2;
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timer.stop();
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std::cout << " a' * b:\t" << timer.value() << endl;
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timer.reset();
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timer.start();
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for (int k=0; k<REPEAT; ++k)
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m3 = trans(m1) * trans(m2);
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timer.stop();
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std::cout << " a' * b':\t" << timer.value() << endl;
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timer.reset();
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timer.start();
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for (int k=0; k<REPEAT; ++k)
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m3 = m1 * trans(m2);
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timer.stop();
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std::cout << " a * b' :\t" << timer.value() << endl;
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}
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#endif
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std::cout << "\n\n";
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}
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return 0;
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}
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