zhsy2kL

Source: tests/dense/syr2k1.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/syr2k.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>

// 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 matrices A and B
  auto A = Matrix<Number>::random(I,J);
  auto B = Matrix<Number>::random(I,J);  
  Number alpha = random<Number>();
  Number beta = random<Number>();
  Number one(1);
  // Compare syr2k_inplace('N') to gemm_inplace(A,'N',B,'T'); gemm_inplace(B,'N',A,'T');
    {
    auto C1 = Matrix<Number>::random(I,I);
    Matrix<Number> C2 = C1;
    gemm_inplace(C1,A,'N',B,'T',alpha,beta);
    gemm_inplace(C1,B,'N',A,'T',alpha,one);
    syr2k_inplace(C2,'L',A,B,'N',alpha,beta);
    Precision error = frobenius(tril(C1-C2));
    myra::out() << " |syr2k('N')-gemm('N','T')| = " << error << std::endl;
    REQUIRE(error < tolerance);
    }
  // Compare syr2k_inplace('T') to gemm_inplace(A,'T',B,'N'); gemm_inplace(B,'T',A,'N');
    {
    auto C1 = Matrix<Number>::random(J,J);
    Matrix<Number> C2 = C1;
    gemm_inplace(C1,A,'T',B,'N',alpha,beta);
    gemm_inplace(C1,B,'T',A,'N',alpha,one);    
    syr2k_inplace(C2,'L',A,B,'T',alpha,beta);
    Precision error = frobenius(tril(C1-C2));
    myra::out() << " |syr2k('T')-gemm('T','N')| = " << error << std::endl;
    REQUIRE(error < tolerance);
    }
  // Compare syr2k_inplace('C') to gemm_inplace(A,'C',B,'H'); gemm_inplace(B,'C',A,'H');
    {
    auto C1 = Matrix<Number>::random(I,I);
    Matrix<Number> C2 = C1;
    gemm_inplace(C1,A,'C',B,'H',alpha,beta);
    gemm_inplace(C1,B,'C',A,'H',alpha,one);
    syr2k_inplace(C2,'L',A,B,'C',alpha,beta);
    Precision error = frobenius(tril(C1-C2));
    myra::out() << " |syr2k('C')-gemm('C','H')| = " << error << std::endl;
    REQUIRE(error < tolerance);
    }
  // Compare syr2k_inplace('H') to gemm_inplace(A,'H',B,'C'); gemm_inplace(B,'H',A,'C');
    {
    auto C1 = Matrix<Number>::random(J,J);
    Matrix<Number> C2 = C1;
    gemm_inplace(C1,A,'H',B,'C',alpha,beta);
    gemm_inplace(C1,B,'H',A,'C',alpha,one);
    syr2k_inplace(C2,'L',A,B,'H',alpha,beta);
    Precision error = frobenius(tril(C1-C2));
    myra::out() << " |syrk('H')-gemm('H','C')| = " << error << std::endl;
    REQUIRE(error < tolerance);
    }
  }

} // namespace

ADD_TEST("ssyr2kL","[dense][blas]")
  { test<NumberS>(57,24,1.0e-4f); }

ADD_TEST("dsyr2kL","[dense][blas]")
  { test<NumberD>(57,24,1.0e-8); }

ADD_TEST("csyr2kL","[dense][blas]")
  { test<NumberC>(57,24,1.0e-4f); }
  
ADD_TEST("zhsy2kL","[dense][blas]")
  { test<NumberZ>(57,24,1.0e-8); }

Results: [PASS]

std::complex<double>
 |syr2k('N')-gemm('N','T')| = 6.18075e-14
 |syr2k('T')-gemm('T','N')| = 3.96377e-14
 |syr2k('C')-gemm('C','H')| = 6.21549e-14
 |syrk('H')-gemm('H','C')| = 3.92286e-14

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