eigen/bench/sparse_product.cpp

//g++ -O3 -g0 -DNDEBUG  sparse_product.cpp -I.. -I/home/gael/Coding/LinearAlgebra/mtl4/ -DDENSITY=0.005 -DSIZE=10000 && ./a.out
//g++ -O3 -g0 -DNDEBUG  sparse_product.cpp -I.. -I/home/gael/Coding/LinearAlgebra/mtl4/ -DDENSITY=0.05 -DSIZE=2000 && ./a.out
// -DNOGMM -DNOMTL -DCSPARSE
// -I /home/gael/Coding/LinearAlgebra/CSparse/Include/ /home/gael/Coding/LinearAlgebra/CSparse/Lib/libcsparse.a
#ifndef SIZE
#define SIZE 10000
#endif

#ifndef NNZPERCOL
#define NNZPERCOL 2
#endif

#ifndef REPEAT
#define REPEAT 1
#endif

#include "BenchSparseUtil.h"

#ifndef NBTRIES
#define NBTRIES 1
#endif

#define BENCH(X) \
  timer.reset(); \
  for (int _j=0; _j<NBTRIES; ++_j) { \
    timer.start(); \
    for (int _k=0; _k<REPEAT; ++_k) { \
        X  \
  } timer.stop(); }


#ifdef CSPARSE
cs* cs_sorted_multiply(const cs* a, const cs* b)
{
  cs* A = cs_transpose (a, 1) ;
  cs* B = cs_transpose (b, 1) ;
  cs* D = cs_multiply (B,A) ;   /* D = B'*A' */
  cs_spfree (A) ;
  cs_spfree (B) ;
  cs_dropzeros (D) ;      /* drop zeros from D */
  cs* C = cs_transpose (D, 1) ;   /* C = D', so that C is sorted */
  cs_spfree (D) ;
  return C;
}
#endif

int main(int argc, char *argv[])
{
  int rows = SIZE;
  int cols = SIZE;
  float density = DENSITY;

  EigenSparseMatrix sm1(rows,cols), sm2(rows,cols), sm3(rows,cols), sm4(rows,cols);

  BenchTimer timer;
  for (int nnzPerCol = NNZPERCOL; nnzPerCol>1; nnzPerCol/=2)
  {
    fillMatrix2(nnzPerCol, rows, cols, sm1);
    fillMatrix2(nnzPerCol, rows, cols, sm2);

    // dense matrices
    #ifdef DENSEMATRIX
    {
      std::cout << "Eigen Dense\t" << nnzPerCol << "%\n";
      DenseMatrix m1(rows,cols), m2(rows,cols), m3(rows,cols);
      eiToDense(sm1, m1);
      eiToDense(sm2, m2);

      timer.reset();
      timer.start();
      for (int k=0; k<REPEAT; ++k)
        m3 = m1 * m2;
      timer.stop();
      std::cout << "   a * b:\t" << timer.value() << endl;

      timer.reset();
      timer.start();
      for (int k=0; k<REPEAT; ++k)
        m3 = m1.transpose() * m2;
      timer.stop();
      std::cout << "   a' * b:\t" << timer.value() << endl;

      timer.reset();
      timer.start();
      for (int k=0; k<REPEAT; ++k)
        m3 = m1.transpose() * m2.transpose();
      timer.stop();
      std::cout << "   a' * b':\t" << timer.value() << endl;

      timer.reset();
      timer.start();
      for (int k=0; k<REPEAT; ++k)
        m3 = m1 * m2.transpose();
      timer.stop();
      std::cout << "   a * b':\t" << timer.value() << endl;
    }
    #endif

    // eigen sparse matrices
    {
      std::cout << "Eigen sparse\t" << sm1.nonZeros()/(float(sm1.rows())*float(sm1.cols()))*100 << "% * "
                << sm2.nonZeros()/(float(sm2.rows())*float(sm2.cols()))*100 << "%\n";

//       timer.reset();
//       timer.start();
      BENCH(for (int k=0; k<REPEAT; ++k) sm3 = sm1 * sm2;)
//       timer.stop();
      std::cout << "   a * b:\t" << timer.value() << endl;
//       std::cout << sm3 << "\n";

      timer.reset();
      timer.start();
//       std::cerr << "transpose...\n";
//       EigenSparseMatrix sm4 = sm1.transpose();
//       std::cout << sm4.nonZeros() << " == " << sm1.nonZeros() << "\n";
//       exit(1);
//       std::cerr << "transpose OK\n";
//       std::cout << sm1 << "\n\n" << sm1.transpose() << "\n\n" << sm4.transpose() << "\n\n";
      BENCH(for (int k=0; k<REPEAT; ++k) sm3 = sm1.transpose() * sm2;)
//       timer.stop();
      std::cout << "   a' * b:\t" << timer.value() << endl;

//       timer.reset();
//       timer.start();
      BENCH( for (int k=0; k<REPEAT; ++k) sm3 = sm1.transpose() * sm2.transpose(); )
//       timer.stop();
      std::cout << "   a' * b':\t" << timer.value() << endl;

//       timer.reset();
//       timer.start();
      BENCH( for (int k=0; k<REPEAT; ++k) sm3 = sm1 * sm2.transpose(); )
//       timer.stop();
      std::cout << "   a * b' :\t" << timer.value() << endl;
    }

    // eigen dyn-sparse matrices
    {
      DynamicSparseMatrix<Scalar> m1(sm1), m2(sm2), m3(sm3);
      std::cout << "Eigen dyn-sparse\t" << m1.nonZeros()/(float(m1.rows())*float(m1.cols()))*100 << "% * "
                << m2.nonZeros()/(float(m2.rows())*float(m2.cols()))*100 << "%\n";

//       timer.reset();
//       timer.start();
      BENCH(for (int k=0; k<REPEAT; ++k) m3 = m1 * m2;)
//       timer.stop();
      std::cout << "   a * b:\t" << timer.value() << endl;
//       std::cout << sm3 << "\n";

      timer.reset();
      timer.start();
//       std::cerr << "transpose...\n";
//       EigenSparseMatrix sm4 = sm1.transpose();
//       std::cout << sm4.nonZeros() << " == " << sm1.nonZeros() << "\n";
//       exit(1);
//       std::cerr << "transpose OK\n";
//       std::cout << sm1 << "\n\n" << sm1.transpose() << "\n\n" << sm4.transpose() << "\n\n";
      BENCH(for (int k=0; k<REPEAT; ++k) m3 = m1.transpose() * m2;)
//       timer.stop();
      std::cout << "   a' * b:\t" << timer.value() << endl;

//       timer.reset();
//       timer.start();
      BENCH( for (int k=0; k<REPEAT; ++k) m3 = m1.transpose() * m2.transpose(); )
//       timer.stop();
      std::cout << "   a' * b':\t" << timer.value() << endl;

//       timer.reset();
//       timer.start();
      BENCH( for (int k=0; k<REPEAT; ++k) m3 = m1 * m2.transpose(); )
//       timer.stop();
      std::cout << "   a * b' :\t" << timer.value() << endl;
    }

    // CSparse
    #ifdef CSPARSE
    {
      std::cout << "CSparse \t" << nnzPerCol << "%\n";
      cs *m1, *m2, *m3;
      eiToCSparse(sm1, m1);
      eiToCSparse(sm2, m2);

      timer.reset();
      timer.start();
      for (int k=0; k<REPEAT; ++k)
      {
        m3 = cs_sorted_multiply(m1, m2);
        if (!m3)
        {
          std::cerr << "cs_multiply failed\n";
//           break;
        }
//         cs_print(m3, 0);
        cs_spfree(m3);
      }
      timer.stop();
      std::cout << "   a * b:\t" << timer.value() << endl;
    }
    #endif

    // GMM++
    #ifndef NOGMM
    {
      std::cout << "GMM++ sparse\t" << nnzPerCol << "%\n";
      GmmDynSparse  gmmT3(rows,cols);
      GmmSparse m1(rows,cols), m2(rows,cols), m3(rows,cols);
      eiToGmm(sm1, m1);
      eiToGmm(sm2, m2);

      timer.reset();
      timer.start();
      for (int k=0; k<REPEAT; ++k)
        gmm::mult(m1, m2, gmmT3);
      timer.stop();
      std::cout << "   a * b:\t" << timer.value() << endl;

      timer.reset();
      timer.start();
      for (int k=0; k<REPEAT; ++k)
        gmm::mult(gmm::transposed(m1), m2, gmmT3);
      timer.stop();
      std::cout << "   a' * b:\t" << timer.value() << endl;

      if (rows<500)
      {
        timer.reset();
        timer.start();
        for (int k=0; k<REPEAT; ++k)
          gmm::mult(gmm::transposed(m1), gmm::transposed(m2), gmmT3);
        timer.stop();
        std::cout << "   a' * b':\t" << timer.value() << endl;

        timer.reset();
        timer.start();
        for (int k=0; k<REPEAT; ++k)
          gmm::mult(m1, gmm::transposed(m2), gmmT3);
        timer.stop();
        std::cout << "   a * b':\t" << timer.value() << endl;
      }
      else
      {
        std::cout << "   a' * b':\t" << "forever" << endl;
        std::cout << "   a * b':\t" << "forever" << endl;
      }
    }
    #endif

    // MTL4
    #ifndef NOMTL
    {
      std::cout << "MTL4\t" << nnzPerCol << "%\n";
      MtlSparse m1(rows,cols), m2(rows,cols), m3(rows,cols);
      eiToMtl(sm1, m1);
      eiToMtl(sm2, m2);

      timer.reset();
      timer.start();
      for (int k=0; k<REPEAT; ++k)
        m3 = m1 * m2;
      timer.stop();
      std::cout << "   a * b:\t" << timer.value() << endl;

      timer.reset();
      timer.start();
      for (int k=0; k<REPEAT; ++k)
        m3 = trans(m1) * m2;
      timer.stop();
      std::cout << "   a' * b:\t" << timer.value() << endl;

      timer.reset();
      timer.start();
      for (int k=0; k<REPEAT; ++k)
        m3 = trans(m1) * trans(m2);
      timer.stop();
      std::cout << "  a' * b':\t" << timer.value() << endl;

      timer.reset();
      timer.start();
      for (int k=0; k<REPEAT; ++k)
        m3 = m1 * trans(m2);
      timer.stop();
      std::cout << "   a * b' :\t" << timer.value() << endl;
    }
    #endif

    std::cout << "\n\n";
  }

  return 0;
}