csyrkU

Source: tests/dense/syrk2.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>

// Algorithms.
#include <myramath/utility/random.h>
#include <myramath/dense/gemm.h>
#include <myramath/dense/syrk.h>
#include <myramath/dense/frobenius.h>
#include <myramath/dense/transpose.h>
#include <myramath/dense/hermitian.h>
#include <myramath/dense/conjugate.h>
#include <myramath/dense/tril.h>
#include <myramath/dense/triu.h>

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

using namespace myra;

namespace {

template<class Number> void test(int I, int J, typename ReflectPrecision<Number>::type tolerance)
  {
  // Useful typedef.
  typedef typename ReflectPrecision<Number>::type Precision;
  myra::out() << typestring<Number>() << std::endl;
  // Make random nonsquare matrix A.
  auto A = Matrix<Number>::random(I,J);
  Number alpha = random<Number>();
  Number beta = random<Number>();
  // Compare syrk_inplace('N') to gemm_inplace(A,'N',A,'T')
    {
    auto C1 = Matrix<Number>::random(I,I);
    Matrix<Number> C2 = C1;
    gemm_inplace(C1,A,'N',A,'T',alpha,beta);
    syrk_inplace(C2,'U',A,'N',alpha,beta);
    Precision error = frobenius(triu(C1-C2));
    myra::out() << " |syrk('N')-gemm('N','T')| = " << error << std::endl;
    REQUIRE(error < tolerance);
    }
  // Compare syrk_inplace('T') to gemm_inplace(A,'T',A,'N')
    {
    auto C1 = Matrix<Number>::random(J,J);
    Matrix<Number> C2 = C1;
    gemm_inplace(C1,A,'T',A,'N',alpha,beta);
    syrk_inplace(C2,'U',A,'T',alpha,beta);
    Precision error = frobenius(triu(C1-C2));
    myra::out() << " |syrk('T')-gemm('T','N')| = " << error << std::endl;
    REQUIRE(error < tolerance);
    }
  // Compare syrk_inplace('C') to gemm_inplace(A,'C',A,'H')
    {
    auto C1 = Matrix<Number>::random(I,I);
    Matrix<Number> C2 = C1;
    gemm_inplace(C1,A,'C',A,'H',alpha,beta);
    syrk_inplace(C2,'U',A,'C',alpha,beta);
    Precision error = frobenius(triu(C1-C2));
    myra::out() << " |syrk('C')-gemm('C','H')| = " << error << std::endl;
    REQUIRE(error < tolerance);
    }
  // Compare syrk_inplace('H') to gemm(A,'H',A,'C')
    {
    auto C1 = Matrix<Number>::random(J,J);
    Matrix<Number> C2 = C1;
    gemm_inplace(C1,A,'H',A,'C',alpha,beta);
    syrk_inplace(C2,'U',A,'H',alpha,beta);
    Precision error = frobenius(triu(C1-C2));
    myra::out() << " |syrk('H')-gemm('H','C')| = " << error << std::endl;
    REQUIRE(error < tolerance);
    }
  }

} // namespace

ADD_TEST("ssyrkU","[dense][blas]")
  { test<NumberS>(57,24,1.0e-4f); }

ADD_TEST("dsyrkU","[dense][blas]")
  { test<NumberD>(57,24,1.0e-8); }

ADD_TEST("csyrkU","[dense][blas]")
  { test<NumberC>(57,24,1.0e-4f); }
  
ADD_TEST("zhsykU","[dense][blas]")
  { test<NumberZ>(57,24,1.0e-8); }

Results: [PASS]

std::complex<float>
 |syrk('N')-gemm('N','T')| = 0
 |syrk('T')-gemm('T','N')| = 0
 |syrk('C')-gemm('C','H')| = 0
 |syrk('H')-gemm('H','C')| = 0

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