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-rw-r--r--Eigen/src/Eigen2Support/Geometry/Scaling.h167
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diff --git a/Eigen/src/Eigen2Support/Geometry/Scaling.h b/Eigen/src/Eigen2Support/Geometry/Scaling.h
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--- a/Eigen/src/Eigen2Support/Geometry/Scaling.h
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-// This file is part of Eigen, a lightweight C++ template library
-// for linear algebra.
-//
-// Copyright (C) 2008 Gael Guennebaud <g.gael@free.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/.
-
-// no include guard, we'll include this twice from All.h from Eigen2Support, and it's internal anyway
-
-namespace Eigen {
-
-/** \geometry_module \ingroup Geometry_Module
- *
- * \class Scaling
- *
- * \brief Represents a possibly non uniform scaling transformation
- *
- * \param _Scalar the scalar type, i.e., the type of the coefficients.
- * \param _Dim the dimension of the space, can be a compile time value or Dynamic
- *
- * \note This class is not aimed to be used to store a scaling transformation,
- * but rather to make easier the constructions and updates of Transform objects.
- *
- * \sa class Translation, class Transform
- */
-template<typename _Scalar, int _Dim>
-class Scaling
-{
-public:
- EIGEN_MAKE_ALIGNED_OPERATOR_NEW_IF_VECTORIZABLE_FIXED_SIZE(_Scalar,_Dim)
- /** dimension of the space */
- enum { Dim = _Dim };
- /** the scalar type of the coefficients */
- typedef _Scalar Scalar;
- /** corresponding vector type */
- typedef Matrix<Scalar,Dim,1> VectorType;
- /** corresponding linear transformation matrix type */
- typedef Matrix<Scalar,Dim,Dim> LinearMatrixType;
- /** corresponding translation type */
- typedef Translation<Scalar,Dim> TranslationType;
- /** corresponding affine transformation type */
- typedef Transform<Scalar,Dim> TransformType;
-
-protected:
-
- VectorType m_coeffs;
-
-public:
-
- /** Default constructor without initialization. */
- Scaling() {}
- /** Constructs and initialize a uniform scaling transformation */
- explicit inline Scaling(const Scalar& s) { m_coeffs.setConstant(s); }
- /** 2D only */
- inline Scaling(const Scalar& sx, const Scalar& sy)
- {
- ei_assert(Dim==2);
- m_coeffs.x() = sx;
- m_coeffs.y() = sy;
- }
- /** 3D only */
- inline Scaling(const Scalar& sx, const Scalar& sy, const Scalar& sz)
- {
- ei_assert(Dim==3);
- m_coeffs.x() = sx;
- m_coeffs.y() = sy;
- m_coeffs.z() = sz;
- }
- /** Constructs and initialize the scaling transformation from a vector of scaling coefficients */
- explicit inline Scaling(const VectorType& coeffs) : m_coeffs(coeffs) {}
-
- const VectorType& coeffs() const { return m_coeffs; }
- VectorType& coeffs() { return m_coeffs; }
-
- /** Concatenates two scaling */
- inline Scaling operator* (const Scaling& other) const
- { return Scaling(coeffs().cwise() * other.coeffs()); }
-
- /** Concatenates a scaling and a translation */
- inline TransformType operator* (const TranslationType& t) const;
-
- /** Concatenates a scaling and an affine transformation */
- inline TransformType operator* (const TransformType& t) const;
-
- /** Concatenates a scaling and a linear transformation matrix */
- // TODO returns an expression
- inline LinearMatrixType operator* (const LinearMatrixType& other) const
- { return coeffs().asDiagonal() * other; }
-
- /** Concatenates a linear transformation matrix and a scaling */
- // TODO returns an expression
- friend inline LinearMatrixType operator* (const LinearMatrixType& other, const Scaling& s)
- { return other * s.coeffs().asDiagonal(); }
-
- template<typename Derived>
- inline LinearMatrixType operator*(const RotationBase<Derived,Dim>& r) const
- { return *this * r.toRotationMatrix(); }
-
- /** Applies scaling to vector */
- inline VectorType operator* (const VectorType& other) const
- { return coeffs().asDiagonal() * other; }
-
- /** \returns the inverse scaling */
- inline Scaling inverse() const
- { return Scaling(coeffs().cwise().inverse()); }
-
- inline Scaling& operator=(const Scaling& other)
- {
- m_coeffs = other.m_coeffs;
- return *this;
- }
-
- /** \returns \c *this with scalar type casted to \a NewScalarType
- *
- * Note that if \a NewScalarType is equal to the current scalar type of \c *this
- * then this function smartly returns a const reference to \c *this.
- */
- template<typename NewScalarType>
- inline typename internal::cast_return_type<Scaling,Scaling<NewScalarType,Dim> >::type cast() const
- { return typename internal::cast_return_type<Scaling,Scaling<NewScalarType,Dim> >::type(*this); }
-
- /** Copy constructor with scalar type conversion */
- template<typename OtherScalarType>
- inline explicit Scaling(const Scaling<OtherScalarType,Dim>& other)
- { m_coeffs = other.coeffs().template cast<Scalar>(); }
-
- /** \returns \c true if \c *this is approximately equal to \a other, within the precision
- * determined by \a prec.
- *
- * \sa MatrixBase::isApprox() */
- bool isApprox(const Scaling& other, typename NumTraits<Scalar>::Real prec = precision<Scalar>()) const
- { return m_coeffs.isApprox(other.m_coeffs, prec); }
-
-};
-
-/** \addtogroup Geometry_Module */
-//@{
-typedef Scaling<float, 2> Scaling2f;
-typedef Scaling<double,2> Scaling2d;
-typedef Scaling<float, 3> Scaling3f;
-typedef Scaling<double,3> Scaling3d;
-//@}
-
-template<typename Scalar, int Dim>
-inline typename Scaling<Scalar,Dim>::TransformType
-Scaling<Scalar,Dim>::operator* (const TranslationType& t) const
-{
- TransformType res;
- res.matrix().setZero();
- res.linear().diagonal() = coeffs();
- res.translation() = m_coeffs.cwise() * t.vector();
- res(Dim,Dim) = Scalar(1);
- return res;
-}
-
-template<typename Scalar, int Dim>
-inline typename Scaling<Scalar,Dim>::TransformType
-Scaling<Scalar,Dim>::operator* (const TransformType& t) const
-{
- TransformType res = t;
- res.prescale(m_coeffs);
- return res;
-}
-
-} // end namespace Eigen