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// This file is part of Eigen, a lightweight C++ template library
// for linear algebra. Eigen itself is part of the KDE project.
//
// Copyright (C) 2006-2007 Benoit Jacob <jacob@math.jussieu.fr>
//
// Eigen is free software; you can redistribute it and/or modify it under the
// terms of the GNU General Public License as published by the Free Software
// Foundation; either version 2 or (at your option) any later version.
//
// Eigen is distributed in the hope that it will be useful, but WITHOUT ANY
// WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
// FOR A PARTICULAR PURPOSE. See the GNU General Public License for more
// details.
//
// You should have received a copy of the GNU General Public License along
// with Eigen; if not, write to the Free Software Foundation, Inc., 51
// Franklin St, Fifth Floor, Boston, MA 02110-1301 USA.
//
// As a special exception, if other files instantiate templates or use macros
// or functions from this file, or you compile this file and link it
// with other works to produce a work based on this file, this file does not
// by itself cause the resulting work to be covered by the GNU General Public
// License. This exception does not invalidate any other reasons why a work
// based on this file might be covered by the GNU General Public License.
#ifndef EIGEN_FUZZY_H
#define EIGEN_FUZZY_H
template<typename Scalar, typename Derived>
template<typename OtherDerived>
bool MatrixBase<Scalar, Derived>::isApprox(
const OtherDerived& other,
const typename NumTraits<Scalar>::Real& prec = precision<Scalar>()
) const
{
assert(rows() == other.rows() && cols() == other.cols());
if(Traits::IsVectorAtCompileTime)
{
return((*this - other).norm2() <= std::min(norm2(), other.norm2()) * prec * prec);
}
else
{
for(int i = 0; i < cols(); i++)
if((col(i) - other.col(i)).norm2()
> std::min(col(i).norm2(), other.col(i).norm2()) * prec * prec)
return false;
return true;
}
}
template<typename Scalar, typename Derived>
bool MatrixBase<Scalar, Derived>::isMuchSmallerThan(
const typename NumTraits<Scalar>::Real& other,
const typename NumTraits<Scalar>::Real& prec = precision<Scalar>()
) const
{
if(Traits::IsVectorAtCompileTime)
{
return(norm2() <= abs2(other * prec));
}
else
{
for(int i = 0; i < cols(); i++)
if(col(i).norm2() > abs2(other * prec))
return false;
return true;
}
}
template<typename Scalar, typename Derived>
template<typename OtherDerived>
bool MatrixBase<Scalar, Derived>::isMuchSmallerThan(
const MatrixBase<Scalar, OtherDerived>& other,
const typename NumTraits<Scalar>::Real& prec = precision<Scalar>()
) const
{
assert(rows() == other.rows() && cols() == other.cols());
if(Traits::IsVectorAtCompileTime)
{
return(norm2() <= other.norm2() * prec * prec);
}
else
{
for(int i = 0; i < cols(); i++)
if(col(i).norm2() > other.col(i).norm2() * prec * prec)
return false;
return true;
}
}
#endif // EIGEN_FUZZY_H
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