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// This file is part of Eigen, a lightweight C++ template library
// for linear algebra.
//
// Copyright (C) 2008-2009 Gael Guennebaud <gael.guennebaud@inria.fr>
//
// This Source Code Form is subject to the terms of the Mozilla
// Public License v. 2.0. If a copy of the MPL was not distributed
// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
#include "main.h"
template<typename MatrixType> void product_selfadjoint(const MatrixType& m)
{
typedef typename MatrixType::Scalar Scalar;
typedef Matrix<Scalar, MatrixType::RowsAtCompileTime, 1> VectorType;
typedef Matrix<Scalar, 1, MatrixType::RowsAtCompileTime> RowVectorType;
typedef Matrix<Scalar, MatrixType::RowsAtCompileTime, Dynamic, RowMajor> RhsMatrixType;
Index rows = m.rows();
Index cols = m.cols();
MatrixType m1 = MatrixType::Random(rows, cols),
m2 = MatrixType::Random(rows, cols),
m3;
VectorType v1 = VectorType::Random(rows),
v2 = VectorType::Random(rows),
v3(rows);
RowVectorType r1 = RowVectorType::Random(rows),
r2 = RowVectorType::Random(rows);
RhsMatrixType m4 = RhsMatrixType::Random(rows,10);
Scalar s1 = internal::random<Scalar>(),
s2 = internal::random<Scalar>(),
s3 = internal::random<Scalar>();
m1 = (m1.adjoint() + m1).eval();
// rank2 update
m2 = m1.template triangularView<Lower>();
m2.template selfadjointView<Lower>().rankUpdate(v1,v2);
VERIFY_IS_APPROX(m2, (m1 + v1 * v2.adjoint()+ v2 * v1.adjoint()).template triangularView<Lower>().toDenseMatrix());
m2 = m1.template triangularView<Upper>();
m2.template selfadjointView<Upper>().rankUpdate(-v1,s2*v2,s3);
VERIFY_IS_APPROX(m2, (m1 + (s3*(-v1)*(s2*v2).adjoint()+numext::conj(s3)*(s2*v2)*(-v1).adjoint())).template triangularView<Upper>().toDenseMatrix());
m2 = m1.template triangularView<Upper>();
m2.template selfadjointView<Upper>().rankUpdate(-s2*r1.adjoint(),r2.adjoint()*s3,s1);
VERIFY_IS_APPROX(m2, (m1 + s1*(-s2*r1.adjoint())*(r2.adjoint()*s3).adjoint() + numext::conj(s1)*(r2.adjoint()*s3) * (-s2*r1.adjoint()).adjoint()).template triangularView<Upper>().toDenseMatrix());
if (rows>1)
{
m2 = m1.template triangularView<Lower>();
m2.block(1,1,rows-1,cols-1).template selfadjointView<Lower>().rankUpdate(v1.tail(rows-1),v2.head(cols-1));
m3 = m1;
m3.block(1,1,rows-1,cols-1) += v1.tail(rows-1) * v2.head(cols-1).adjoint()+ v2.head(cols-1) * v1.tail(rows-1).adjoint();
VERIFY_IS_APPROX(m2, m3.template triangularView<Lower>().toDenseMatrix());
}
}
void test_product_selfadjoint()
{
int s = 0;
for(int i = 0; i < g_repeat ; i++) {
CALL_SUBTEST_1( product_selfadjoint(Matrix<float, 1, 1>()) );
CALL_SUBTEST_2( product_selfadjoint(Matrix<float, 2, 2>()) );
CALL_SUBTEST_3( product_selfadjoint(Matrix3d()) );
s = internal::random<int>(1,EIGEN_TEST_MAX_SIZE/2);
CALL_SUBTEST_4( product_selfadjoint(MatrixXcf(s, s)) );
TEST_SET_BUT_UNUSED_VARIABLE(s)
s = internal::random<int>(1,EIGEN_TEST_MAX_SIZE/2);
CALL_SUBTEST_5( product_selfadjoint(MatrixXcd(s,s)) );
TEST_SET_BUT_UNUSED_VARIABLE(s)
s = internal::random<int>(1,EIGEN_TEST_MAX_SIZE);
CALL_SUBTEST_6( product_selfadjoint(MatrixXd(s,s)) );
TEST_SET_BUT_UNUSED_VARIABLE(s)
s = internal::random<int>(1,EIGEN_TEST_MAX_SIZE);
CALL_SUBTEST_7( product_selfadjoint(Matrix<float,Dynamic,Dynamic,RowMajor>(s,s)) );
TEST_SET_BUT_UNUSED_VARIABLE(s)
}
}