Esempio n. 1
0
int main (int, const char **)
{
  typedef float                                           ScalarType;    //feel free to change this to 'double' if supported by your hardware
  typedef boost::numeric::ublas::matrix<ScalarType>       MatrixType;
  
  typedef viennacl::matrix<ScalarType, viennacl::row_major>    VCLMatrixType;
  
  std::size_t dim_large = 5;
  std::size_t dim_small = 3;
  
  //
  // Setup ublas objects and fill with data:
  //
  MatrixType ublas_A(dim_large, dim_large);
  MatrixType ublas_B(dim_small, dim_small);
  MatrixType ublas_C(dim_large, dim_small);
  MatrixType ublas_D(dim_small, dim_large);
  
  
  for (std::size_t i=0; i<ublas_A.size1(); ++i)
    for (std::size_t j=0; j<ublas_A.size2(); ++j)
      ublas_A(i,j) = static_cast<ScalarType>((i+1) + (j+1)*(i+1));

  for (std::size_t i=0; i<ublas_B.size1(); ++i)
    for (std::size_t j=0; j<ublas_B.size2(); ++j)
      ublas_B(i,j) = static_cast<ScalarType>((i+1) + (j+1)*(i+1));

  for (std::size_t i=0; i<ublas_C.size1(); ++i)
    for (std::size_t j=0; j<ublas_C.size2(); ++j)
      ublas_C(i,j) = static_cast<ScalarType>((j+2) + (j+1)*(i+1));

  for (std::size_t i=0; i<ublas_D.size1(); ++i)
    for (std::size_t j=0; j<ublas_D.size2(); ++j)
      ublas_D(i,j) = static_cast<ScalarType>((j+2) + (j+1)*(i+1));
  
  //
  // Extract submatrices using the ranges in ublas
  //
  boost::numeric::ublas::range ublas_r1(0, dim_small);                      //the first 'dim_small' entries
  boost::numeric::ublas::range ublas_r2(dim_large - dim_small, dim_large);  //the last 'dim_small' entries
  boost::numeric::ublas::matrix_range<MatrixType> ublas_A_sub1(ublas_A, ublas_r1, ublas_r1); //upper left part of A
  boost::numeric::ublas::matrix_range<MatrixType> ublas_A_sub2(ublas_A, ublas_r2, ublas_r2); //lower right part of A

  boost::numeric::ublas::matrix_range<MatrixType> ublas_C_sub(ublas_C, ublas_r1, ublas_r1); //upper left part of C
  boost::numeric::ublas::matrix_range<MatrixType> ublas_D_sub(ublas_D, ublas_r1, ublas_r1); //upper left part of D

  //
  // Setup ViennaCL objects
  //
  VCLMatrixType vcl_A(dim_large, dim_large);
  VCLMatrixType vcl_B(dim_small, dim_small);
  VCLMatrixType vcl_C(dim_large, dim_small);
  VCLMatrixType vcl_D(dim_small, dim_large);
  
  viennacl::copy(ublas_A, vcl_A);
  viennacl::copy(ublas_B, vcl_B);
  viennacl::copy(ublas_C, vcl_C);
  viennacl::copy(ublas_D, vcl_D);
  
  //
  // Extract submatrices using the ranges in ViennaCL
  //
  viennacl::range vcl_r1(0, dim_small);   //the first 'dim_small' entries
  viennacl::range vcl_r2(dim_large - dim_small, dim_large); //the last 'dim_small' entries
  viennacl::matrix_range<VCLMatrixType>   vcl_A_sub1(vcl_A, vcl_r1, vcl_r1); //upper left part of A
  viennacl::matrix_range<VCLMatrixType>   vcl_A_sub2(vcl_A, vcl_r2, vcl_r2); //lower right part of A
  
  viennacl::matrix_range<VCLMatrixType>   vcl_C_sub(vcl_C, vcl_r1, vcl_r1); //upper left part of C
  viennacl::matrix_range<VCLMatrixType>   vcl_D_sub(vcl_D, vcl_r1, vcl_r1); //upper left part of D

  //
  // Copy from ublas to submatrices and back:
  //
  
  ublas_A_sub1 = ublas_B;
  viennacl::copy(ublas_B, vcl_A_sub1);
  viennacl::copy(vcl_A_sub1, ublas_B);
  
  //
  // Addition:
  //
  
  // range to range:
  ublas_A_sub2 += ublas_A_sub2;
  vcl_A_sub2 += vcl_A_sub2;

  // range to matrix:
  ublas_B += ublas_A_sub2;
  vcl_B += vcl_A_sub2;

  
  //
  // use matrix range with matrix-matrix product:
  //
  ublas_A_sub1 += prod(ublas_C_sub, ublas_D_sub);
  vcl_A_sub1 += viennacl::linalg::prod(vcl_C_sub, vcl_D_sub);

  //
  // Print result matrices:
  //
  std::cout << "Result ublas:    " << ublas_A << std::endl;
  std::cout << "Result ViennaCL: " << vcl_A << std::endl;
  
  //
  //  That's it.
  //
  std::cout << "!!!! TUTORIAL COMPLETED SUCCESSFULLY !!!!" << std::endl;

  return EXIT_SUCCESS;
}
Esempio n. 2
0
/**
*  In the main() routine a couple of vectors from both Boost.uBLAS and ViennaCL are set up.
*  Then, subvectors are extracted and manipulated using the usual operator overloads.
**/
int main (int, const char **)
{
    //feel free to change the floating point type to 'double' if supported by your hardware
    typedef float                                           ScalarType;

    typedef boost::numeric::ublas::vector<ScalarType>       VectorType;
    typedef viennacl::vector<ScalarType>                    VCLVectorType;

    std::size_t dim_large = 7;
    std::size_t dim_small = 3;

    /**
    * Setup ublas objects and fill with data:
    **/
    VectorType ublas_v1(dim_large);
    VectorType ublas_v2(dim_small);

    for (std::size_t i=0; i<ublas_v1.size(); ++i)
        ublas_v1(i) = ScalarType(i+1);

    for (std::size_t i=0; i<ublas_v2.size(); ++i)
        ublas_v2(i) = ScalarType(dim_large + i);


    /**
    * Extract submatrices using the ranges in ublas
    **/
    boost::numeric::ublas::range ublas_r1(0, dim_small); //the first 'dim_small' entries
    boost::numeric::ublas::range ublas_r2(dim_small - 1, 2*dim_small - 1); // 'dim_small' entries somewhere from the middle
    boost::numeric::ublas::range ublas_r3(dim_large - dim_small, dim_large); // the last 'dim_small' entries
    boost::numeric::ublas::vector_range<VectorType> ublas_v1_sub1(ublas_v1, ublas_r1); // front part of vector v_1
    boost::numeric::ublas::vector_range<VectorType> ublas_v1_sub2(ublas_v1, ublas_r2); // center part of vector v_1
    boost::numeric::ublas::vector_range<VectorType> ublas_v1_sub3(ublas_v1, ublas_r3); // tail of vector v_1


    /**
    *  Create ViennaCL objects and copy data over from uBLAS objects.
    **/
    VCLVectorType vcl_v1(dim_large);
    VCLVectorType vcl_v2(dim_small);

    viennacl::copy(ublas_v1, vcl_v1);
    viennacl::copy(ublas_v2, vcl_v2);


    /**
    * Extract submatrices using the range-functionality in ViennaCL. This works exactly the same way as for uBLAS.
    **/
    viennacl::range vcl_r1(0, dim_small); //the first 'dim_small' entries
    viennacl::range vcl_r2(dim_small - 1, 2*dim_small - 1);  // 'dim_small' entries somewhere from the middle
    viennacl::range vcl_r3(dim_large - dim_small, dim_large);  // the last 'dim_small' entries
    viennacl::vector_range<VCLVectorType>   vcl_v1_sub1(vcl_v1, vcl_r1); // front part of vector v_1
    viennacl::vector_range<VCLVectorType>   vcl_v1_sub2(vcl_v1, vcl_r2); // center part of vector v_1
    viennacl::vector_range<VCLVectorType>   vcl_v1_sub3(vcl_v1, vcl_r3); // tail of vector v_1


    /**
    * Copy from ublas to submatrices and back:
    **/
    ublas_v1_sub1 = ublas_v2;
    viennacl::copy(ublas_v2, vcl_v1_sub1);
    viennacl::copy(vcl_v1_sub1, ublas_v2);

    /**
    * Addition of subvectors:
    **/

    ublas_v1_sub1 += ublas_v1_sub1;
    vcl_v1_sub1 += vcl_v1_sub1;

    ublas_v1_sub2 += ublas_v1_sub2;
    vcl_v1_sub2 += vcl_v1_sub2;

    ublas_v1_sub3 += ublas_v1_sub3;
    vcl_v1_sub3 += vcl_v1_sub3;

    /**
    * Print full vectors. Notice that the various entries have changed according to the subvector manipulations above.
    **/
    std::cout << "ublas:    " << ublas_v1 << std::endl;
    std::cout << "ViennaCL: " << vcl_v1 << std::endl;

    /**
    *  That's it. Print success message and exit.
    **/
    std::cout << "!!!! TUTORIAL COMPLETED SUCCESSFULLY !!!!" << std::endl;

    return EXIT_SUCCESS;
}
Esempio n. 3
0
int main (int argc, const char * argv[])
{
  typedef float                                           ScalarType;    //feel free to change this to 'double' if supported by your hardware
  typedef boost::numeric::ublas::vector<ScalarType>       VectorType;
  
  typedef viennacl::vector<ScalarType>                    VCLVectorType;
  
  std::size_t dim_large = 7;
  std::size_t dim_small = 3;
  
  //
  // Setup ublas objects and fill with data:
  //
  VectorType ublas_v1(dim_large);
  VectorType ublas_v2(dim_small);
  
  for (std::size_t i=0; i<ublas_v1.size(); ++i)
    ublas_v1(i) = i+1;

  for (std::size_t i=0; i<ublas_v2.size(); ++i)
    ublas_v2(i) = dim_large + i;
    
  
  //
  // Extract submatrices using the ranges in ublas
  //
  boost::numeric::ublas::range ublas_r1(0, dim_small); //the first 'dim_small' entries
  boost::numeric::ublas::range ublas_r2(dim_small - 1, 2*dim_small - 1); // 'dim_small' entries somewhere from the middle
  boost::numeric::ublas::range ublas_r3(dim_large - dim_small, dim_large); // the last 'dim_small' entries
  boost::numeric::ublas::vector_range<VectorType> ublas_v1_sub1(ublas_v1, ublas_r1); // front part of vector v_1
  boost::numeric::ublas::vector_range<VectorType> ublas_v1_sub2(ublas_v1, ublas_r2); // center part of vector v_1
  boost::numeric::ublas::vector_range<VectorType> ublas_v1_sub3(ublas_v1, ublas_r3); // tail of vector v_1
  

  //
  // Setup ViennaCL objects
  //
  VCLVectorType vcl_v1(dim_large);
  VCLVectorType vcl_v2(dim_small);
  
  viennacl::copy(ublas_v1, vcl_v1);
  viennacl::copy(ublas_v2, vcl_v2);
    
  
  //
  // Extract submatrices using the ranges in ViennaCL
  //
  viennacl::range vcl_r1(0, dim_small); //the first 'dim_small' entries
  viennacl::range vcl_r2(dim_small - 1, 2*dim_small - 1);  // 'dim_small' entries somewhere from the middle
  viennacl::range vcl_r3(dim_large - dim_small, dim_large);  // the last 'dim_small' entries
  viennacl::vector_range<VCLVectorType>   vcl_v1_sub1(vcl_v1, vcl_r1); // front part of vector v_1
  viennacl::vector_range<VCLVectorType>   vcl_v1_sub2(vcl_v1, vcl_r2); // center part of vector v_1
  viennacl::vector_range<VCLVectorType>   vcl_v1_sub3(vcl_v1, vcl_r3); // tail of vector v_1

  
  //
  // Copy from ublas to submatrices and back:
  //
  
  ublas_v1_sub1 = ublas_v2;
  viennacl::copy(ublas_v2, vcl_v1_sub1);
  viennacl::copy(vcl_v1_sub1, ublas_v2);  
  
  //
  // Addition:
  //
  
  ublas_v1_sub1 += ublas_v1_sub1;
  vcl_v1_sub1 += vcl_v1_sub1;

  ublas_v1_sub2 += ublas_v1_sub2;
  vcl_v1_sub2 += vcl_v1_sub2;

  ublas_v1_sub3 += ublas_v1_sub3;
  vcl_v1_sub3 += vcl_v1_sub3;
  
  //
  // print vectors:
  //
  std::cout << "ublas:    " << ublas_v1 << std::endl;
  std::cout << "ViennaCL: " << vcl_v1 << std::endl;

  //
  //  That's it.
  //
  std::cout << "!!!! TUTORIAL COMPLETED SUCCESSFULLY !!!!" << std::endl;

  return EXIT_SUCCESS;
}
Esempio n. 4
0
int run_test()
{
    //typedef float               ScalarType;
    typedef boost::numeric::ublas::matrix<ScalarType>       MatrixType;
    typedef boost::numeric::ublas::vector<ScalarType>       VectorType;
    
    typedef viennacl::matrix<ScalarType, T>    VCLMatrixType;
    typedef viennacl::vector<ScalarType>       VCLVectorType;
    
    viennacl::scalar<ScalarType> gpu_pi = ScalarType(3.1415);
    
    std::size_t dim_large = 151;
    std::size_t dim_small = 37;
    //std::size_t dim_large = 35;
    //std::size_t dim_small = 11;
    
    //setup ublas objects:
    MatrixType ublas_A(dim_large, dim_large);
    for (std::size_t i=0; i<ublas_A.size1(); ++i)
      for (std::size_t j=0; j<ublas_A.size2(); ++j)
        ublas_A(i,j) = ScalarType((i+1) + (j+1)*(i+1));

    MatrixType ublas_B(dim_small, dim_small);
    for (std::size_t i=0; i<ublas_B.size1(); ++i)
      for (std::size_t j=0; j<ublas_B.size2(); ++j)
        ublas_B(i,j) = ScalarType((i+1) + (j+1)*(i+1));

    MatrixType ublas_C(dim_large, dim_small);
    for (std::size_t i=0; i<ublas_C.size1(); ++i)
      for (std::size_t j=0; j<ublas_C.size2(); ++j)
        ublas_C(i,j) = ScalarType((j+2) + (j+1)*(i+1));

    MatrixType ublas_D(dim_small, dim_large);
    for (std::size_t i=0; i<ublas_D.size1(); ++i)
      for (std::size_t j=0; j<ublas_D.size2(); ++j)
        ublas_D(i,j) = ScalarType((j+2) + (j+1)*(i+1));
      
    boost::numeric::ublas::range ublas_r1(0, dim_small);
    boost::numeric::ublas::range ublas_r2(dim_large - dim_small, dim_large);
    boost::numeric::ublas::matrix_range<MatrixType> ublas_A_sub1(ublas_A, ublas_r1, ublas_r1);
    boost::numeric::ublas::matrix_range<MatrixType> ublas_A_sub2(ublas_A, ublas_r2, ublas_r2);

    boost::numeric::ublas::matrix_range<MatrixType> ublas_C_sub(ublas_C, ublas_r1, ublas_r1);
    boost::numeric::ublas::matrix_range<MatrixType> ublas_D_sub(ublas_D, ublas_r1, ublas_r1);

    //Setup ViennaCL objects    
    VCLMatrixType vcl_A(dim_large, dim_large);
    viennacl::copy(ublas_A, vcl_A);
    VCLMatrixType vcl_B(dim_small, dim_small);
    viennacl::copy(ublas_B, vcl_B);
    VCLMatrixType vcl_C(dim_large, dim_small);
    viennacl::copy(ublas_C, vcl_C);
    VCLMatrixType vcl_D(dim_small, dim_large);
    viennacl::copy(ublas_D, vcl_D);
    
    viennacl::range vcl_r1(0, dim_small);
    viennacl::range vcl_r2(dim_large - dim_small, dim_large);
    viennacl::matrix_range<VCLMatrixType>   vcl_A_sub1(vcl_A, vcl_r1, vcl_r1);
    viennacl::matrix_range<VCLMatrixType>   vcl_A_sub2(vcl_A, vcl_r2, vcl_r2);
    
    viennacl::matrix_range<VCLMatrixType>   vcl_C_sub(vcl_C, vcl_r1, vcl_r1);
    viennacl::matrix_range<VCLMatrixType>   vcl_D_sub(vcl_D, vcl_r1, vcl_r1);

    std::cout << std::endl;
    std::cout << "//" << std::endl;
    std::cout << "////////// Test: Copy CTOR //////////" << std::endl;
    std::cout << "//" << std::endl;

    {
      std::cout << "Testing matrix created from range... ";
      ublas_B = ublas_A_sub1;
      VCLMatrixType vcl_temp = vcl_A_sub1;
      if (check_for_equality(ublas_B, vcl_temp))
        std::cout << "PASSED!" << std::endl;
      else
      {
        std::cout << std::endl << "TEST failed!";
        return EXIT_FAILURE;
      }
      
      std::cout << "Testing range created from range... ";
      //ublas_A_sub1 = ublas_A_sub1;
      VCLMatrixType vcl_ctor_sub1 = vcl_A_sub1;  //Note: This is mostly a compilation test only
      if (check_for_equality(ublas_A, vcl_A))
        std::cout << "PASSED!" << std::endl;
      else
      {
        std::cout << std::endl << "TEST failed!";
        return EXIT_FAILURE;
      }
    }
    
    
    std::cout << std::endl;
    std::cout << "//" << std::endl;
    std::cout << "////////// Test: Assignments //////////" << std::endl;
    std::cout << "//" << std::endl;

    std::cout << "Testing matrix assigned to range... ";
    ublas_A_sub1 = ublas_B;
    vcl_A_sub1 = vcl_B;
    if (check_for_equality(ublas_A, vcl_A))
      std::cout << "PASSED!" << std::endl;
    else
    {
      std::cout << std::endl << "TEST failed!";
      return EXIT_FAILURE;
    }
    
    std::cout << "Testing range assigned to matrix... ";
    ublas_B = ublas_A_sub2;
    vcl_B = vcl_A_sub2;
    if (check_for_equality(ublas_B, vcl_B))
      std::cout << "PASSED!" << std::endl;
    else
    {
      std::cout << std::endl << "TEST failed!";
      return EXIT_FAILURE;
    }
    
    std::cout << "Testing range assigned to range... ";
    ublas_A_sub1 = ublas_C_sub;
    vcl_A_sub1 = vcl_C_sub;
    if (check_for_equality(ublas_A, vcl_A))
      std::cout << "PASSED!" << std::endl;
    else
    {
      std::cout << std::endl << "TEST failed!";
      return EXIT_FAILURE;
    }
    
    
    
    std::cout << std::endl;
    std::cout << "//" << std::endl;
    std::cout << "////////// Test 1: Copy to GPU //////////" << std::endl;
    std::cout << "//" << std::endl;
    
    ublas_A_sub1 = ublas_B;
    viennacl::copy(ublas_B, vcl_A_sub1);
    std::cout << "Testing upper left copy to A... ";
    if (check_for_equality(ublas_A, vcl_A))
      std::cout << "PASSED!" << std::endl;
    else
    {
      std::cout << std::endl << "TEST failed!";
      return EXIT_FAILURE;
    }
    
    
    ublas_A_sub2 = ublas_B;
    viennacl::copy(ublas_B, vcl_A_sub2);
    std::cout << "Testing lower right copy to A... ";
    if (check_for_equality(ublas_A, vcl_A))
      std::cout << "PASSED!" << std::endl;
    else
    {
      std::cout << std::endl << "TEST failed!";
      return EXIT_FAILURE;
    }
    
    
    
    ublas_C_sub = ublas_B;
    viennacl::copy(ublas_B, vcl_C_sub);
    std::cout << "Testing upper copy to C... ";
    if (check_for_equality(ublas_C, vcl_C))
      std::cout << "PASSED!" << std::endl;
    else
    {
      std::cout << std::endl << "TEST failed!";
      return EXIT_FAILURE;
    }

    
    ublas_D_sub = ublas_B;
    viennacl::copy(ublas_B, vcl_D_sub);
    std::cout << "Testing left copy to D... ";
    if (check_for_equality(ublas_D, vcl_D))
      std::cout << "PASSED!" << std::endl;
    else
      std::cout << std::endl << "TEST failed!";
    
    std::cout << std::endl;
    std::cout << "//" << std::endl;
    std::cout << "////////// Test 2: Copy from GPU //////////" << std::endl;
    std::cout << "//" << std::endl;
    
    std::cout << "Testing upper left copy to A... ";
    if (check_for_equality(ublas_A_sub1, vcl_A_sub1))
      std::cout << "PASSED!" << std::endl;
    else
    {
      std::cout << std::endl << "TEST failed!";
      return EXIT_FAILURE;
    }
    
    std::cout << "Testing lower right copy to A... ";
    if (check_for_equality(ublas_A_sub2, vcl_A_sub2))
      std::cout << "PASSED!" << std::endl;
    else
    {
      std::cout << std::endl << "TEST failed!";
      return EXIT_FAILURE;
    }
    
    std::cout << "Testing upper copy to C... ";
    if (check_for_equality(ublas_C_sub, vcl_C_sub))
      std::cout << "PASSED!" << std::endl;
    else
    {
      std::cout << std::endl << "TEST failed!";
      return EXIT_FAILURE;
    }

    std::cout << "Testing left copy to D... ";
    if (check_for_equality(ublas_D_sub, vcl_D_sub))
      std::cout << "PASSED!" << std::endl;
    else
    {
      std::cout << std::endl << "TEST failed!";
      return EXIT_FAILURE;
    }
    
    
    std::cout << "//" << std::endl;
    std::cout << "////////// Test 3: Addition //////////" << std::endl;
    std::cout << "//" << std::endl;
    viennacl::copy(ublas_A_sub2, vcl_A_sub2);
    
    std::cout << "Inplace add to submatrix: ";
    ublas_A_sub2 += ublas_A_sub2;
    vcl_A_sub2 += vcl_A_sub2;

    if (check_for_equality(ublas_A, vcl_A))
      std::cout << "PASSED!" << std::endl;
    else
    {
      std::cout << std::endl << "TEST failed!";
      return EXIT_FAILURE;
    }

    std::cout << "Inplace add to matrix: ";
    ublas_B += ublas_A_sub2;
    vcl_B += vcl_A_sub2;

    if (check_for_equality(ublas_B, vcl_B))
      std::cout << "PASSED!" << std::endl;
    else
    {
      std::cout << std::endl << "TEST failed!";
      return EXIT_FAILURE;
    }

    std::cout << "Inplace add of matrix: ";
    ublas_A_sub2 += ublas_B;
    vcl_A_sub2 += vcl_B;

    if (check_for_equality(ublas_A, vcl_A))
      std::cout << "PASSED!" << std::endl;
    else
    {
      std::cout << std::endl << "TEST failed!";
      return EXIT_FAILURE;
    }
    
    std::cout << "Add to submatrix: ";
    ublas_A_sub2 = ublas_A_sub2 + ublas_A_sub2;
    vcl_A_sub2 = vcl_A_sub2 + vcl_A_sub2;

    if (check_for_equality(ublas_A, vcl_A))
      std::cout << "PASSED!" << std::endl;
    else
    {
      std::cout << std::endl << "TEST failed!";
      return EXIT_FAILURE;
    }

    std::cout << "Add to matrix: ";
    ublas_B = ublas_A_sub2 + ublas_A_sub2;
    vcl_B = vcl_A_sub2 + vcl_A_sub2;

    if (check_for_equality(ublas_B, vcl_B))
      std::cout << "PASSED!" << std::endl;
    else
    {
      std::cout << std::endl << "TEST failed!";
      return EXIT_FAILURE;
    }
    
    
    
    std::cout << "//" << std::endl;
    std::cout << "////////// Test 4: Subtraction //////////" << std::endl;
    std::cout << "//" << std::endl;
    viennacl::copy(ublas_A_sub2, vcl_A_sub2);
    
    std::cout << "Inplace sub to submatrix: ";
    ublas_A_sub2 -= ublas_A_sub2;
    vcl_A_sub2 -= vcl_A_sub2;

    if (check_for_equality(ublas_A, vcl_A))
      std::cout << "PASSED!" << std::endl;
    else
    {
      std::cout << std::endl << "TEST failed!";
      return EXIT_FAILURE;
    }

    std::cout << "Inplace sub to matrix: ";
    ublas_B -= ublas_A_sub2;
    vcl_B -= vcl_A_sub2;

    if (check_for_equality(ublas_B, vcl_B))
      std::cout << "PASSED!" << std::endl;
    else
    {
      std::cout << std::endl << "TEST failed!";
      return EXIT_FAILURE;
    }
    
    std::cout << "Inplace sub of matrix: ";
    ublas_A_sub2 -= ublas_B;
    vcl_A_sub2 -= vcl_B;

    if (check_for_equality(ublas_A, vcl_A))
      std::cout << "PASSED!" << std::endl;
    else
    {
      std::cout << std::endl << "TEST failed!";
      return EXIT_FAILURE;
    }
    
    std::cout << "Sub from submatrix: ";
    ublas_A_sub2 = ublas_A_sub2 - ublas_A_sub2;
    vcl_A_sub2 = vcl_A_sub2 - vcl_A_sub2;

    if (check_for_equality(ublas_A, vcl_A))
      std::cout << "PASSED!" << std::endl;
    else
    {
      std::cout << std::endl << "TEST failed!";
      return EXIT_FAILURE;
    }

    std::cout << "Sub from matrix: ";
    ublas_B = ublas_A_sub2 - ublas_A_sub2;
    vcl_B = vcl_A_sub2 - vcl_A_sub2;

    if (check_for_equality(ublas_B, vcl_B))
      std::cout << "PASSED!" << std::endl;
    else
    {
      std::cout << std::endl << "TEST failed!";
      return EXIT_FAILURE;
    }
    
    
    std::cout << "//" << std::endl;
    std::cout << "////////// Test 5: Scaling //////////" << std::endl;
    std::cout << "//" << std::endl;
    viennacl::copy(ublas_A, vcl_A);
    
    std::cout << "Multiplication with CPU scalar: ";
    ublas_A_sub2 *= ScalarType(3.1415);
    vcl_A_sub2 *= ScalarType(3.1415);

    if (check_for_equality(ublas_A, vcl_A))
      std::cout << "PASSED!" << std::endl;
    else
    {
      std::cout << std::endl << "TEST failed!";
      return EXIT_FAILURE;
    }

    std::cout << "Multiplication with GPU scalar: ";
    ublas_A_sub2 *= gpu_pi;
    vcl_A_sub2 *= gpu_pi;

    if (check_for_equality(ublas_A, vcl_A))
      std::cout << "PASSED!" << std::endl;
    else
    {
      std::cout << std::endl << "TEST failed!";
      return EXIT_FAILURE;
    }
    
    
    std::cout << "Division with CPU scalar: ";
    ublas_A_sub2 /= ScalarType(3.1415);
    vcl_A_sub2 /= ScalarType(3.1415);

    if (check_for_equality(ublas_A, vcl_A))
      std::cout << "PASSED!" << std::endl;
    else
    {
      std::cout << std::endl << "TEST failed!";
      return EXIT_FAILURE;
    }

    std::cout << "Division with GPU scalar: ";
    ublas_A_sub2 /= gpu_pi;
    vcl_A_sub2 /= gpu_pi;

    if (check_for_equality(ublas_A, vcl_A))
      std::cout << "PASSED!" << std::endl;
    else
    {
      std::cout << std::endl << "TEST failed!";
      return EXIT_FAILURE;
    }
    
    

    std::cout << "//" << std::endl;
    std::cout << "////////// Test 6: Matrix-Matrix Products //////////" << std::endl;
    std::cout << "//" << std::endl;

    std::cout << "Assigned C = A * B: ";
    ublas_A_sub1 = prod(ublas_C_sub, ublas_D_sub);
    vcl_A_sub1 = viennacl::linalg::prod(vcl_C_sub, vcl_D_sub);

    if (check_for_equality(ublas_A, vcl_A))
      std::cout << "PASSED!" << std::endl;
    else
    {
      std::cout << std::endl << "TEST failed!";
      return EXIT_FAILURE;
    }

    std::cout << "Assigned C = A^T * B: ";
    ublas_A_sub1 = prod(trans(ublas_C_sub), ublas_D_sub);
    vcl_A_sub1 = viennacl::linalg::prod(trans(vcl_C_sub), vcl_D_sub);

    if (check_for_equality(ublas_A, vcl_A))
      std::cout << "PASSED!" << std::endl;
    else
    {
      std::cout << std::endl << "TEST failed!";
      return EXIT_FAILURE;
    }

    std::cout << "Assigned C = A * B^T: ";
    ublas_A_sub1 = prod(ublas_C_sub, trans(ublas_D_sub));
    vcl_A_sub1 = viennacl::linalg::prod(vcl_C_sub, trans(vcl_D_sub));

    if (check_for_equality(ublas_A, vcl_A))
      std::cout << "PASSED!" << std::endl;
    else
    {
      std::cout << std::endl << "TEST failed!";
      return EXIT_FAILURE;
    }

    std::cout << "Assigned C = A^T * B^T: ";
    ublas_A_sub1 = prod(trans(ublas_C_sub), trans(ublas_D_sub));
    vcl_A_sub1 = viennacl::linalg::prod(trans(vcl_C_sub), trans(vcl_D_sub));

    if (check_for_equality(ublas_A, vcl_A))
      std::cout << "PASSED!" << std::endl;
    else
    {
      std::cout << std::endl << "TEST failed!";
      return EXIT_FAILURE;
    }

    std::cout << "Inplace add of prod(): ";
    ublas_A_sub1 += prod(ublas_C_sub, ublas_D_sub);
    vcl_A_sub1 += viennacl::linalg::prod(vcl_C_sub, vcl_D_sub);

    if (check_for_equality(ublas_A, vcl_A))
      std::cout << "PASSED!" << std::endl;
    else
    {
      std::cout << std::endl << "TEST failed!";
      return EXIT_FAILURE;
    }


    std::cout << "//" << std::endl;
    std::cout << "////////// Test 7: Matrix-Vector Products //////////" << std::endl;
    std::cout << "//" << std::endl;

    VectorType ublas_v1(dim_large);
    for (std::size_t i=0; i<ublas_v1.size(); ++i)
      ublas_v1(i) = i;
    boost::numeric::ublas::vector_range<VectorType> ublas_v1_sub(ublas_v1, ublas_r1);

    VectorType ublas_v2(dim_large);
    for (std::size_t i=0; i<ublas_v2.size(); ++i)
      ublas_v2(i) = i - 5;
    boost::numeric::ublas::vector_range<VectorType> ublas_v2_sub(ublas_v2, ublas_r1);

    
    VCLVectorType vcl_v1(ublas_v1.size());
    viennacl::vector_range<VCLVectorType> vcl_v1_sub(vcl_v1, vcl_r1);
    VCLVectorType vcl_v2(ublas_v2.size());
    viennacl::vector_range<VCLVectorType> vcl_v2_sub(vcl_v2, vcl_r1);
    viennacl::copy(ublas_v1, vcl_v1);
    viennacl::copy(ublas_v2, vcl_v2);
    viennacl::copy(ublas_A_sub1, vcl_A_sub1);
    
    
    ublas_v2_sub = prod(ublas_A_sub1, ublas_v1_sub);
    vcl_v2_sub = viennacl::linalg::prod(vcl_A_sub1, vcl_v1_sub);

    if (check_for_equality_vector(ublas_v2, vcl_v2))
      std::cout << "PASSED!" << std::endl;
    else
    {
      std::cout << std::endl << "TEST failed!";
      return EXIT_FAILURE;
    }

    std::cout << std::endl;
    std::cout << "----------------------------------------------" << std::endl;
    std::cout << std::endl;


    return EXIT_SUCCESS;
}