phemm1

Source: tests/pdense/phemm1.cpp

// ========================================================================= //
// This file is part of MyraMath, copyright (c) 2014-2019 by Ryan A Chilton  //
// and distributed by MyraCore, LLC. See LICENSE.txt for license terms.      //
// ========================================================================= //

// Containers.
#include <myramath/utility/Number.h>
#include <myramath/dense/Matrix.h>
#include <myramath/dense/MatrixRange.h>

// Serial algorithms.
#include <myramath/utility/random.h>
#include <myramath/dense/hermitian.h>
#include <myramath/dense/tril.h>
#include <myramath/dense/triu.h>
#include <myramath/dense/hemm.h>
#include <myramath/dense/frobenius.h>

// Parallel algorithms.
#include <myramath/pdense/phemm.h>
#include <myramath/pdense/Options.h>

// Reporting.
#include <tests/myratest.h>

using namespace myra;
typedef pdense::Options Options;

namespace {

template<class Precision> void test(int I, int J, Precision tolerance)
  {  
  typedef std::complex<Precision> Number;
  myra::out() << typestring<Number>() << std::endl;
  // Make random hermitian matrix A.
  auto A = Matrix<Number>::random(I,I);
  A = A + hermitian(A);
  Number alpha = random<Number>();
  Number beta  = random<Number>();
  // Make upper/lower triangles of it.
  Matrix<Number> L = tril(A);
  Matrix<Number> U = triu(A);
  // Initialize options.
  auto options = Options::create().set_nthreads(4).set_blocksize(128);
  // Check phemm('L','L')
    {
    auto B  = Matrix<Number>::random(I,J);
    auto C1 = Matrix<Number>::random(I,J);
    auto C2 = C1;
    hemm_inplace('L', 'L', C1, L, B, alpha, beta);
    phemm_inplace('L', 'L', C2, L, B, alpha, beta, options);
    Precision error = frobenius(C1-C2)/frobenius(C1);
    myra::out() << "  |hemm('L','L')-phemm('L','L')| = " << error << std::endl;
    REQUIRE(error < tolerance);
    }
  // Check phemm('L','U')
    {
    auto B =  Matrix<Number>::random(I,J);
    auto C1 = Matrix<Number>::random(I,J);
    auto C2 = C1;
    hemm_inplace('L', 'U', C1, U, B, alpha, beta);
    phemm_inplace('L', 'U', C2, U, B, alpha, beta, options);
    Precision error = frobenius(C1-C2)/frobenius(C1);
    myra::out() << "  |hemm('L','U')-phemm('L','U')| = " << error << std::endl;
    REQUIRE(error < tolerance);
    }
  // Check phemm('R','L')
    {
    auto B =  Matrix<Number>::random(J,I);
    auto C1 = Matrix<Number>::random(J,I);
    auto C2 = C1;
    hemm_inplace('R', 'L', C1, L, B, alpha, beta);
    phemm_inplace('R', 'L', C2, L, B, alpha, beta, options);
    Precision error = frobenius(C1-C2)/frobenius(C1);
    myra::out() << "  |hemm('R','L')-phemm('R','L')| = " << error << std::endl;
    REQUIRE(error < tolerance);
    }
  // Check phemm('R','U')
    {
    auto B =  Matrix<Number>::random(J,I);
    auto C1 = Matrix<Number>::random(J,I);
    auto C2 = C1;
    hemm_inplace('R', 'U', C1, U, B, alpha, beta);
    phemm_inplace('R', 'U', C2, U, B, alpha, beta, options);
    Precision error = frobenius(C1-C2)/frobenius(C1);
    myra::out() << "  |hemm('R','U')-phemm('R','U')| = " << error << std::endl;
    REQUIRE(error < tolerance);
    }
  }

} // namespace

ADD_TEST("phemm1","[pdense][parallel]")
  {
  int I = 512;
  int J = 256;
  test<float > (I,J,1.0e-4f);
  test<double> (I,J,1.0e-8);  
  }

Results: [PASS]

std::complex<float>
  |hemm('L','L')-phemm('L','L')| = 2.90252e-07
  |hemm('L','U')-phemm('L','U')| = 3.46372e-07
  |hemm('R','L')-phemm('R','L')| = 4.68456e-07
  |hemm('R','U')-phemm('R','U')| = 4.69157e-07
std::complex<double>
  |hemm('L','L')-phemm('L','L')| = 5.53697e-16
  |hemm('L','U')-phemm('L','U')| = 6.61817e-16
  |hemm('R','L')-phemm('R','L')| = 7.2084e-16
  |hemm('R','U')-phemm('R','U')| = 7.23341e-16

Go back to Summary of /test programs.