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Diffstat (limited to 'extern/Eigen3/Eigen/src/Core/Fuzzy.h')
| -rw-r--r-- | extern/Eigen3/Eigen/src/Core/Fuzzy.h | 161 |
1 files changed, 161 insertions, 0 deletions
diff --git a/extern/Eigen3/Eigen/src/Core/Fuzzy.h b/extern/Eigen3/Eigen/src/Core/Fuzzy.h new file mode 100644 index 00000000000..d266eed0ac6 --- /dev/null +++ b/extern/Eigen3/Eigen/src/Core/Fuzzy.h @@ -0,0 +1,161 @@ +// This file is part of Eigen, a lightweight C++ template library +// for linear algebra. +// +// Copyright (C) 2006-2008 Benoit Jacob <jacob.benoit.1@gmail.com> +// Copyright (C) 2008 Gael Guennebaud <gael.guennebaud@inria.fr> +// +// Eigen is free software; you can redistribute it and/or +// modify it under the terms of the GNU Lesser General Public +// License as published by the Free Software Foundation; either +// version 3 of the License, or (at your option) any later version. +// +// Alternatively, 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 of +// the License, 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 Lesser General Public License or the +// GNU General Public License for more details. +// +// You should have received a copy of the GNU Lesser General Public +// License and a copy of the GNU General Public License along with +// Eigen. If not, see <http://www.gnu.org/licenses/>. + +#ifndef EIGEN_FUZZY_H +#define EIGEN_FUZZY_H + +namespace internal +{ + +template<typename Derived, typename OtherDerived, bool is_integer = NumTraits<typename Derived::Scalar>::IsInteger> +struct isApprox_selector +{ + static bool run(const Derived& x, const OtherDerived& y, typename Derived::RealScalar prec) + { + using std::min; + const typename internal::nested<Derived,2>::type nested(x); + const typename internal::nested<OtherDerived,2>::type otherNested(y); + return (nested - otherNested).cwiseAbs2().sum() <= prec * prec * (min)(nested.cwiseAbs2().sum(), otherNested.cwiseAbs2().sum()); + } +}; + +template<typename Derived, typename OtherDerived> +struct isApprox_selector<Derived, OtherDerived, true> +{ + static bool run(const Derived& x, const OtherDerived& y, typename Derived::RealScalar) + { + return x.matrix() == y.matrix(); + } +}; + +template<typename Derived, typename OtherDerived, bool is_integer = NumTraits<typename Derived::Scalar>::IsInteger> +struct isMuchSmallerThan_object_selector +{ + static bool run(const Derived& x, const OtherDerived& y, typename Derived::RealScalar prec) + { + return x.cwiseAbs2().sum() <= abs2(prec) * y.cwiseAbs2().sum(); + } +}; + +template<typename Derived, typename OtherDerived> +struct isMuchSmallerThan_object_selector<Derived, OtherDerived, true> +{ + static bool run(const Derived& x, const OtherDerived&, typename Derived::RealScalar) + { + return x.matrix() == Derived::Zero(x.rows(), x.cols()).matrix(); + } +}; + +template<typename Derived, bool is_integer = NumTraits<typename Derived::Scalar>::IsInteger> +struct isMuchSmallerThan_scalar_selector +{ + static bool run(const Derived& x, const typename Derived::RealScalar& y, typename Derived::RealScalar prec) + { + return x.cwiseAbs2().sum() <= abs2(prec * y); + } +}; + +template<typename Derived> +struct isMuchSmallerThan_scalar_selector<Derived, true> +{ + static bool run(const Derived& x, const typename Derived::RealScalar&, typename Derived::RealScalar) + { + return x.matrix() == Derived::Zero(x.rows(), x.cols()).matrix(); + } +}; + +} // end namespace internal + + +/** \returns \c true if \c *this is approximately equal to \a other, within the precision + * determined by \a prec. + * + * \note The fuzzy compares are done multiplicatively. Two vectors \f$ v \f$ and \f$ w \f$ + * are considered to be approximately equal within precision \f$ p \f$ if + * \f[ \Vert v - w \Vert \leqslant p\,\min(\Vert v\Vert, \Vert w\Vert). \f] + * For matrices, the comparison is done using the Hilbert-Schmidt norm (aka Frobenius norm + * L2 norm). + * + * \note Because of the multiplicativeness of this comparison, one can't use this function + * to check whether \c *this is approximately equal to the zero matrix or vector. + * Indeed, \c isApprox(zero) returns false unless \c *this itself is exactly the zero matrix + * or vector. If you want to test whether \c *this is zero, use internal::isMuchSmallerThan(const + * RealScalar&, RealScalar) instead. + * + * \sa internal::isMuchSmallerThan(const RealScalar&, RealScalar) const + */ +template<typename Derived> +template<typename OtherDerived> +bool DenseBase<Derived>::isApprox( + const DenseBase<OtherDerived>& other, + RealScalar prec +) const +{ + return internal::isApprox_selector<Derived, OtherDerived>::run(derived(), other.derived(), prec); +} + +/** \returns \c true if the norm of \c *this is much smaller than \a other, + * within the precision determined by \a prec. + * + * \note The fuzzy compares are done multiplicatively. A vector \f$ v \f$ is + * considered to be much smaller than \f$ x \f$ within precision \f$ p \f$ if + * \f[ \Vert v \Vert \leqslant p\,\vert x\vert. \f] + * + * For matrices, the comparison is done using the Hilbert-Schmidt norm. For this reason, + * the value of the reference scalar \a other should come from the Hilbert-Schmidt norm + * of a reference matrix of same dimensions. + * + * \sa isApprox(), isMuchSmallerThan(const DenseBase<OtherDerived>&, RealScalar) const + */ +template<typename Derived> +bool DenseBase<Derived>::isMuchSmallerThan( + const typename NumTraits<Scalar>::Real& other, + RealScalar prec +) const +{ + return internal::isMuchSmallerThan_scalar_selector<Derived>::run(derived(), other, prec); +} + +/** \returns \c true if the norm of \c *this is much smaller than the norm of \a other, + * within the precision determined by \a prec. + * + * \note The fuzzy compares are done multiplicatively. A vector \f$ v \f$ is + * considered to be much smaller than a vector \f$ w \f$ within precision \f$ p \f$ if + * \f[ \Vert v \Vert \leqslant p\,\Vert w\Vert. \f] + * For matrices, the comparison is done using the Hilbert-Schmidt norm. + * + * \sa isApprox(), isMuchSmallerThan(const RealScalar&, RealScalar) const + */ +template<typename Derived> +template<typename OtherDerived> +bool DenseBase<Derived>::isMuchSmallerThan( + const DenseBase<OtherDerived>& other, + RealScalar prec +) const +{ + return internal::isMuchSmallerThan_object_selector<Derived, OtherDerived>::run(derived(), other.derived(), prec); +} + +#endif // EIGEN_FUZZY_H |