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// This file is part of Eigen, a lightweight C++ template library
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// for linear algebra.
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//
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// Copyright (C) 2008-2010 Gael Guennebaud <gael.guennebaud@inria.fr>
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//
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// This Source Code Form is subject to the terms of the Mozilla
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// Public License v. 2.0. If a copy of the MPL was not distributed
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// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
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#ifndef EIGEN_CWISE_NULLARY_OP_H
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#define EIGEN_CWISE_NULLARY_OP_H
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namespace Eigen {
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/** \class CwiseNullaryOp
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* \ingroup Core_Module
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*
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* \brief Generic expression of a matrix where all coefficients are defined by a functor
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*
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* \param NullaryOp template functor implementing the operator
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* \param PlainObjectType the underlying plain matrix/array type
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*
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* This class represents an expression of a generic nullary operator.
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* It is the return type of the Ones(), Zero(), Constant(), Identity() and Random() methods,
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* and most of the time this is the only way it is used.
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*
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* However, if you want to write a function returning such an expression, you
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* will need to use this class.
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*
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* \sa class CwiseUnaryOp, class CwiseBinaryOp, DenseBase::NullaryExpr()
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*/
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namespace internal {
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template<typename NullaryOp, typename PlainObjectType>
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struct traits<CwiseNullaryOp<NullaryOp, PlainObjectType> > : traits<PlainObjectType>
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{
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enum {
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Flags = (traits<PlainObjectType>::Flags
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& ( HereditaryBits
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| (functor_has_linear_access<NullaryOp>::ret ? LinearAccessBit : 0)
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| (functor_traits<NullaryOp>::PacketAccess ? PacketAccessBit : 0)))
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| (functor_traits<NullaryOp>::IsRepeatable ? 0 : EvalBeforeNestingBit),
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CoeffReadCost = functor_traits<NullaryOp>::Cost
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};
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};
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}
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template<typename NullaryOp, typename PlainObjectType>
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class CwiseNullaryOp : internal::no_assignment_operator,
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public internal::dense_xpr_base< CwiseNullaryOp<NullaryOp, PlainObjectType> >::type
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{
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public:
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typedef typename internal::dense_xpr_base<CwiseNullaryOp>::type Base;
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EIGEN_DENSE_PUBLIC_INTERFACE(CwiseNullaryOp)
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CwiseNullaryOp(Index nbRows, Index nbCols, const NullaryOp& func = NullaryOp())
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: m_rows(nbRows), m_cols(nbCols), m_functor(func)
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{
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eigen_assert(nbRows >= 0
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&& (RowsAtCompileTime == Dynamic || RowsAtCompileTime == nbRows)
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&& nbCols >= 0
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&& (ColsAtCompileTime == Dynamic || ColsAtCompileTime == nbCols));
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}
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EIGEN_STRONG_INLINE Index rows() const { return m_rows.value(); }
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EIGEN_STRONG_INLINE Index cols() const { return m_cols.value(); }
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EIGEN_STRONG_INLINE const Scalar coeff(Index rowId, Index colId) const
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{
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return m_functor(rowId, colId);
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}
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template<int LoadMode>
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EIGEN_STRONG_INLINE PacketScalar packet(Index rowId, Index colId) const
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{
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return m_functor.packetOp(rowId, colId);
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}
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EIGEN_STRONG_INLINE const Scalar coeff(Index index) const
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{
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return m_functor(index);
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}
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template<int LoadMode>
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EIGEN_STRONG_INLINE PacketScalar packet(Index index) const
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{
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return m_functor.packetOp(index);
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}
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/** \returns the functor representing the nullary operation */
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const NullaryOp& functor() const { return m_functor; }
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protected:
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const internal::variable_if_dynamic<Index, RowsAtCompileTime> m_rows;
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const internal::variable_if_dynamic<Index, ColsAtCompileTime> m_cols;
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const NullaryOp m_functor;
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};
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/** \returns an expression of a matrix defined by a custom functor \a func
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*
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* The parameters \a rows and \a cols are the number of rows and of columns of
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* the returned matrix. Must be compatible with this MatrixBase type.
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*
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* This variant is meant to be used for dynamic-size matrix types. For fixed-size types,
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* it is redundant to pass \a rows and \a cols as arguments, so Zero() should be used
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* instead.
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*
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* The template parameter \a CustomNullaryOp is the type of the functor.
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*
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* \sa class CwiseNullaryOp
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*/
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template<typename Derived>
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template<typename CustomNullaryOp>
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EIGEN_STRONG_INLINE const CwiseNullaryOp<CustomNullaryOp, Derived>
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DenseBase<Derived>::NullaryExpr(Index rows, Index cols, const CustomNullaryOp& func)
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{
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return CwiseNullaryOp<CustomNullaryOp, Derived>(rows, cols, func);
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}
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/** \returns an expression of a matrix defined by a custom functor \a func
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*
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* The parameter \a size is the size of the returned vector.
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* Must be compatible with this MatrixBase type.
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*
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* \only_for_vectors
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*
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* This variant is meant to be used for dynamic-size vector types. For fixed-size types,
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* it is redundant to pass \a size as argument, so Zero() should be used
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* instead.
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*
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* The template parameter \a CustomNullaryOp is the type of the functor.
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*
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* \sa class CwiseNullaryOp
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*/
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template<typename Derived>
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template<typename CustomNullaryOp>
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EIGEN_STRONG_INLINE const CwiseNullaryOp<CustomNullaryOp, Derived>
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DenseBase<Derived>::NullaryExpr(Index size, const CustomNullaryOp& func)
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{
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EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived)
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if(RowsAtCompileTime == 1) return CwiseNullaryOp<CustomNullaryOp, Derived>(1, size, func);
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else return CwiseNullaryOp<CustomNullaryOp, Derived>(size, 1, func);
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}
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/** \returns an expression of a matrix defined by a custom functor \a func
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*
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* This variant is only for fixed-size DenseBase types. For dynamic-size types, you
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* need to use the variants taking size arguments.
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*
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* The template parameter \a CustomNullaryOp is the type of the functor.
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*
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* \sa class CwiseNullaryOp
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*/
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template<typename Derived>
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template<typename CustomNullaryOp>
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EIGEN_STRONG_INLINE const CwiseNullaryOp<CustomNullaryOp, Derived>
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DenseBase<Derived>::NullaryExpr(const CustomNullaryOp& func)
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{
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return CwiseNullaryOp<CustomNullaryOp, Derived>(RowsAtCompileTime, ColsAtCompileTime, func);
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}
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/** \returns an expression of a constant matrix of value \a value
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*
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* The parameters \a nbRows and \a nbCols are the number of rows and of columns of
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* the returned matrix. Must be compatible with this DenseBase type.
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*
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* This variant is meant to be used for dynamic-size matrix types. For fixed-size types,
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* it is redundant to pass \a nbRows and \a nbCols as arguments, so Zero() should be used
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* instead.
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*
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* The template parameter \a CustomNullaryOp is the type of the functor.
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*
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* \sa class CwiseNullaryOp
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*/
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template<typename Derived>
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EIGEN_STRONG_INLINE const typename DenseBase<Derived>::ConstantReturnType
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DenseBase<Derived>::Constant(Index nbRows, Index nbCols, const Scalar& value)
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{
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return DenseBase<Derived>::NullaryExpr(nbRows, nbCols, internal::scalar_constant_op<Scalar>(value));
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}
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/** \returns an expression of a constant matrix of value \a value
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*
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* The parameter \a size is the size of the returned vector.
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* Must be compatible with this DenseBase type.
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*
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* \only_for_vectors
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*
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* This variant is meant to be used for dynamic-size vector types. For fixed-size types,
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* it is redundant to pass \a size as argument, so Zero() should be used
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* instead.
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*
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* The template parameter \a CustomNullaryOp is the type of the functor.
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*
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* \sa class CwiseNullaryOp
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*/
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template<typename Derived>
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EIGEN_STRONG_INLINE const typename DenseBase<Derived>::ConstantReturnType
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DenseBase<Derived>::Constant(Index size, const Scalar& value)
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{
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return DenseBase<Derived>::NullaryExpr(size, internal::scalar_constant_op<Scalar>(value));
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}
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/** \returns an expression of a constant matrix of value \a value
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*
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* This variant is only for fixed-size DenseBase types. For dynamic-size types, you
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* need to use the variants taking size arguments.
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*
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* The template parameter \a CustomNullaryOp is the type of the functor.
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*
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* \sa class CwiseNullaryOp
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*/
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template<typename Derived>
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EIGEN_STRONG_INLINE const typename DenseBase<Derived>::ConstantReturnType
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DenseBase<Derived>::Constant(const Scalar& value)
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{
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EIGEN_STATIC_ASSERT_FIXED_SIZE(Derived)
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return DenseBase<Derived>::NullaryExpr(RowsAtCompileTime, ColsAtCompileTime, internal::scalar_constant_op<Scalar>(value));
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}
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|
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/**
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* \brief Sets a linearly space vector.
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*
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* The function generates 'size' equally spaced values in the closed interval [low,high].
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* This particular version of LinSpaced() uses sequential access, i.e. vector access is
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* assumed to be a(0), a(1), ..., a(size). This assumption allows for better vectorization
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* and yields faster code than the random access version.
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*
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* When size is set to 1, a vector of length 1 containing 'high' is returned.
|
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|
*
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* \only_for_vectors
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*
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|
* Example: \include DenseBase_LinSpaced_seq.cpp
|
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|
* Output: \verbinclude DenseBase_LinSpaced_seq.out
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|
*
|
| ykuroda |
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* \sa setLinSpaced(Index,const Scalar&,const Scalar&), LinSpaced(Index,Scalar,Scalar), CwiseNullaryOp
|
| ykuroda |
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239
|
*/
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|
template<typename Derived>
|
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|
EIGEN_STRONG_INLINE const typename DenseBase<Derived>::SequentialLinSpacedReturnType
|
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|
DenseBase<Derived>::LinSpaced(Sequential_t, Index size, const Scalar& low, const Scalar& high)
|
| ykuroda |
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|
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|
{
|
| ykuroda |
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|
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|
EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived)
|
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|
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|
return DenseBase<Derived>::NullaryExpr(size, internal::linspaced_op<Scalar,false>(low,high,size));
|
| ykuroda |
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|
246
|
}
|
| ykuroda |
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|
247
|
|
| ykuroda |
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|
248
|
/**
|
| ykuroda |
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|
249
|
* \copydoc DenseBase::LinSpaced(Sequential_t, Index, const Scalar&, const Scalar&)
|
| ykuroda |
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|
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|
* Special version for fixed size types which does not require the size parameter.
|
| ykuroda |
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|
251
|
*/
|
| ykuroda |
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|
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|
template<typename Derived>
|
| ykuroda |
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|
253
|
EIGEN_STRONG_INLINE const typename DenseBase<Derived>::SequentialLinSpacedReturnType
|
| ykuroda |
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|
254
|
DenseBase<Derived>::LinSpaced(Sequential_t, const Scalar& low, const Scalar& high)
|
| ykuroda |
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|
255
|
{
|
| ykuroda |
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|
256
|
EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived)
|
| ykuroda |
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|
257
|
EIGEN_STATIC_ASSERT_FIXED_SIZE(Derived)
|
| ykuroda |
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|
258
|
return DenseBase<Derived>::NullaryExpr(Derived::SizeAtCompileTime, internal::linspaced_op<Scalar,false>(low,high,Derived::SizeAtCompileTime));
|
| ykuroda |
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|
259
|
}
|
| ykuroda |
0:13a5d365ba16
|
260
|
|
| ykuroda |
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|
261
|
/**
|
| ykuroda |
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|
262
|
* \brief Sets a linearly space vector.
|
| ykuroda |
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|
263
|
*
|
| ykuroda |
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|
264
|
* The function generates 'size' equally spaced values in the closed interval [low,high].
|
| ykuroda |
0:13a5d365ba16
|
265
|
* When size is set to 1, a vector of length 1 containing 'high' is returned.
|
| ykuroda |
0:13a5d365ba16
|
266
|
*
|
| ykuroda |
0:13a5d365ba16
|
267
|
* \only_for_vectors
|
| ykuroda |
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|
268
|
*
|
| ykuroda |
0:13a5d365ba16
|
269
|
* Example: \include DenseBase_LinSpaced.cpp
|
| ykuroda |
0:13a5d365ba16
|
270
|
* Output: \verbinclude DenseBase_LinSpaced.out
|
| ykuroda |
0:13a5d365ba16
|
271
|
*
|
| ykuroda |
0:13a5d365ba16
|
272
|
* \sa setLinSpaced(Index,const Scalar&,const Scalar&), LinSpaced(Sequential_t,Index,const Scalar&,const Scalar&,Index), CwiseNullaryOp
|
| ykuroda |
0:13a5d365ba16
|
273
|
*/
|
| ykuroda |
0:13a5d365ba16
|
274
|
template<typename Derived>
|
| ykuroda |
0:13a5d365ba16
|
275
|
EIGEN_STRONG_INLINE const typename DenseBase<Derived>::RandomAccessLinSpacedReturnType
|
| ykuroda |
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|
276
|
DenseBase<Derived>::LinSpaced(Index size, const Scalar& low, const Scalar& high)
|
| ykuroda |
0:13a5d365ba16
|
277
|
{
|
| ykuroda |
0:13a5d365ba16
|
278
|
EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived)
|
| ykuroda |
0:13a5d365ba16
|
279
|
return DenseBase<Derived>::NullaryExpr(size, internal::linspaced_op<Scalar,true>(low,high,size));
|
| ykuroda |
0:13a5d365ba16
|
280
|
}
|
| ykuroda |
0:13a5d365ba16
|
281
|
|
| ykuroda |
0:13a5d365ba16
|
282
|
/**
|
| ykuroda |
0:13a5d365ba16
|
283
|
* \copydoc DenseBase::LinSpaced(Index, const Scalar&, const Scalar&)
|
| ykuroda |
0:13a5d365ba16
|
284
|
* Special version for fixed size types which does not require the size parameter.
|
| ykuroda |
0:13a5d365ba16
|
285
|
*/
|
| ykuroda |
0:13a5d365ba16
|
286
|
template<typename Derived>
|
| ykuroda |
0:13a5d365ba16
|
287
|
EIGEN_STRONG_INLINE const typename DenseBase<Derived>::RandomAccessLinSpacedReturnType
|
| ykuroda |
0:13a5d365ba16
|
288
|
DenseBase<Derived>::LinSpaced(const Scalar& low, const Scalar& high)
|
| ykuroda |
0:13a5d365ba16
|
289
|
{
|
| ykuroda |
0:13a5d365ba16
|
290
|
EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived)
|
| ykuroda |
0:13a5d365ba16
|
291
|
EIGEN_STATIC_ASSERT_FIXED_SIZE(Derived)
|
| ykuroda |
0:13a5d365ba16
|
292
|
return DenseBase<Derived>::NullaryExpr(Derived::SizeAtCompileTime, internal::linspaced_op<Scalar,true>(low,high,Derived::SizeAtCompileTime));
|
| ykuroda |
0:13a5d365ba16
|
293
|
}
|
| ykuroda |
0:13a5d365ba16
|
294
|
|
| ykuroda |
0:13a5d365ba16
|
295
|
/** \returns true if all coefficients in this matrix are approximately equal to \a val, to within precision \a prec */
|
| ykuroda |
0:13a5d365ba16
|
296
|
template<typename Derived>
|
| ykuroda |
0:13a5d365ba16
|
297
|
bool DenseBase<Derived>::isApproxToConstant
|
| ykuroda |
0:13a5d365ba16
|
298
|
(const Scalar& val, const RealScalar& prec) const
|
| ykuroda |
0:13a5d365ba16
|
299
|
{
|
| ykuroda |
0:13a5d365ba16
|
300
|
for(Index j = 0; j < cols(); ++j)
|
| ykuroda |
0:13a5d365ba16
|
301
|
for(Index i = 0; i < rows(); ++i)
|
| ykuroda |
0:13a5d365ba16
|
302
|
if(!internal::isApprox(this->coeff(i, j), val, prec))
|
| ykuroda |
0:13a5d365ba16
|
303
|
return false;
|
| ykuroda |
0:13a5d365ba16
|
304
|
return true;
|
| ykuroda |
0:13a5d365ba16
|
305
|
}
|
| ykuroda |
0:13a5d365ba16
|
306
|
|
| ykuroda |
0:13a5d365ba16
|
307
|
/** This is just an alias for isApproxToConstant().
|
| ykuroda |
0:13a5d365ba16
|
308
|
*
|
| ykuroda |
0:13a5d365ba16
|
309
|
* \returns true if all coefficients in this matrix are approximately equal to \a value, to within precision \a prec */
|
| ykuroda |
0:13a5d365ba16
|
310
|
template<typename Derived>
|
| ykuroda |
0:13a5d365ba16
|
311
|
bool DenseBase<Derived>::isConstant
|
| ykuroda |
0:13a5d365ba16
|
312
|
(const Scalar& val, const RealScalar& prec) const
|
| ykuroda |
0:13a5d365ba16
|
313
|
{
|
| ykuroda |
0:13a5d365ba16
|
314
|
return isApproxToConstant(val, prec);
|
| ykuroda |
0:13a5d365ba16
|
315
|
}
|
| ykuroda |
0:13a5d365ba16
|
316
|
|
| ykuroda |
0:13a5d365ba16
|
317
|
/** Alias for setConstant(): sets all coefficients in this expression to \a val.
|
| ykuroda |
0:13a5d365ba16
|
318
|
*
|
| ykuroda |
0:13a5d365ba16
|
319
|
* \sa setConstant(), Constant(), class CwiseNullaryOp
|
| ykuroda |
0:13a5d365ba16
|
320
|
*/
|
| ykuroda |
0:13a5d365ba16
|
321
|
template<typename Derived>
|
| ykuroda |
0:13a5d365ba16
|
322
|
EIGEN_STRONG_INLINE void DenseBase<Derived>::fill(const Scalar& val)
|
| ykuroda |
0:13a5d365ba16
|
323
|
{
|
| ykuroda |
0:13a5d365ba16
|
324
|
setConstant(val);
|
| ykuroda |
0:13a5d365ba16
|
325
|
}
|
| ykuroda |
0:13a5d365ba16
|
326
|
|
| ykuroda |
0:13a5d365ba16
|
327
|
/** Sets all coefficients in this expression to \a value.
|
| ykuroda |
0:13a5d365ba16
|
328
|
*
|
| ykuroda |
0:13a5d365ba16
|
329
|
* \sa fill(), setConstant(Index,const Scalar&), setConstant(Index,Index,const Scalar&), setZero(), setOnes(), Constant(), class CwiseNullaryOp, setZero(), setOnes()
|
| ykuroda |
0:13a5d365ba16
|
330
|
*/
|
| ykuroda |
0:13a5d365ba16
|
331
|
template<typename Derived>
|
| ykuroda |
0:13a5d365ba16
|
332
|
EIGEN_STRONG_INLINE Derived& DenseBase<Derived>::setConstant(const Scalar& val)
|
| ykuroda |
0:13a5d365ba16
|
333
|
{
|
| ykuroda |
0:13a5d365ba16
|
334
|
return derived() = Constant(rows(), cols(), val);
|
| ykuroda |
0:13a5d365ba16
|
335
|
}
|
| ykuroda |
0:13a5d365ba16
|
336
|
|
| ykuroda |
0:13a5d365ba16
|
337
|
/** Resizes to the given \a size, and sets all coefficients in this expression to the given \a value.
|
| ykuroda |
0:13a5d365ba16
|
338
|
*
|
| ykuroda |
0:13a5d365ba16
|
339
|
* \only_for_vectors
|
| ykuroda |
0:13a5d365ba16
|
340
|
*
|
| ykuroda |
0:13a5d365ba16
|
341
|
* Example: \include Matrix_setConstant_int.cpp
|
| ykuroda |
0:13a5d365ba16
|
342
|
* Output: \verbinclude Matrix_setConstant_int.out
|
| ykuroda |
0:13a5d365ba16
|
343
|
*
|
| ykuroda |
0:13a5d365ba16
|
344
|
* \sa MatrixBase::setConstant(const Scalar&), setConstant(Index,Index,const Scalar&), class CwiseNullaryOp, MatrixBase::Constant(const Scalar&)
|
| ykuroda |
0:13a5d365ba16
|
345
|
*/
|
| ykuroda |
0:13a5d365ba16
|
346
|
template<typename Derived>
|
| ykuroda |
0:13a5d365ba16
|
347
|
EIGEN_STRONG_INLINE Derived&
|
| ykuroda |
0:13a5d365ba16
|
348
|
PlainObjectBase<Derived>::setConstant(Index size, const Scalar& val)
|
| ykuroda |
0:13a5d365ba16
|
349
|
{
|
| ykuroda |
0:13a5d365ba16
|
350
|
resize(size);
|
| ykuroda |
0:13a5d365ba16
|
351
|
return setConstant(val);
|
| ykuroda |
0:13a5d365ba16
|
352
|
}
|
| ykuroda |
0:13a5d365ba16
|
353
|
|
| ykuroda |
0:13a5d365ba16
|
354
|
/** Resizes to the given size, and sets all coefficients in this expression to the given \a value.
|
| ykuroda |
0:13a5d365ba16
|
355
|
*
|
| ykuroda |
0:13a5d365ba16
|
356
|
* \param nbRows the new number of rows
|
| ykuroda |
0:13a5d365ba16
|
357
|
* \param nbCols the new number of columns
|
| ykuroda |
0:13a5d365ba16
|
358
|
* \param val the value to which all coefficients are set
|
| ykuroda |
0:13a5d365ba16
|
359
|
*
|
| ykuroda |
0:13a5d365ba16
|
360
|
* Example: \include Matrix_setConstant_int_int.cpp
|
| ykuroda |
0:13a5d365ba16
|
361
|
* Output: \verbinclude Matrix_setConstant_int_int.out
|
| ykuroda |
0:13a5d365ba16
|
362
|
*
|
| ykuroda |
0:13a5d365ba16
|
363
|
* \sa MatrixBase::setConstant(const Scalar&), setConstant(Index,const Scalar&), class CwiseNullaryOp, MatrixBase::Constant(const Scalar&)
|
| ykuroda |
0:13a5d365ba16
|
364
|
*/
|
| ykuroda |
0:13a5d365ba16
|
365
|
template<typename Derived>
|
| ykuroda |
0:13a5d365ba16
|
366
|
EIGEN_STRONG_INLINE Derived&
|
| ykuroda |
0:13a5d365ba16
|
367
|
PlainObjectBase<Derived>::setConstant(Index nbRows, Index nbCols, const Scalar& val)
|
| ykuroda |
0:13a5d365ba16
|
368
|
{
|
| ykuroda |
0:13a5d365ba16
|
369
|
resize(nbRows, nbCols);
|
| ykuroda |
0:13a5d365ba16
|
370
|
return setConstant(val);
|
| ykuroda |
0:13a5d365ba16
|
371
|
}
|
| ykuroda |
0:13a5d365ba16
|
372
|
|
| ykuroda |
0:13a5d365ba16
|
373
|
/**
|
| ykuroda |
0:13a5d365ba16
|
374
|
* \brief Sets a linearly space vector.
|
| ykuroda |
0:13a5d365ba16
|
375
|
*
|
| ykuroda |
0:13a5d365ba16
|
376
|
* The function generates 'size' equally spaced values in the closed interval [low,high].
|
| ykuroda |
0:13a5d365ba16
|
377
|
* When size is set to 1, a vector of length 1 containing 'high' is returned.
|
| ykuroda |
0:13a5d365ba16
|
378
|
*
|
| ykuroda |
0:13a5d365ba16
|
379
|
* \only_for_vectors
|
| ykuroda |
0:13a5d365ba16
|
380
|
*
|
| ykuroda |
0:13a5d365ba16
|
381
|
* Example: \include DenseBase_setLinSpaced.cpp
|
| ykuroda |
0:13a5d365ba16
|
382
|
* Output: \verbinclude DenseBase_setLinSpaced.out
|
| ykuroda |
0:13a5d365ba16
|
383
|
*
|
| ykuroda |
0:13a5d365ba16
|
384
|
* \sa CwiseNullaryOp
|
| ykuroda |
0:13a5d365ba16
|
385
|
*/
|
| ykuroda |
0:13a5d365ba16
|
386
|
template<typename Derived>
|
| ykuroda |
0:13a5d365ba16
|
387
|
EIGEN_STRONG_INLINE Derived& DenseBase<Derived>::setLinSpaced(Index newSize, const Scalar& low, const Scalar& high)
|
| ykuroda |
0:13a5d365ba16
|
388
|
{
|
| ykuroda |
0:13a5d365ba16
|
389
|
EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived)
|
| ykuroda |
0:13a5d365ba16
|
390
|
return derived() = Derived::NullaryExpr(newSize, internal::linspaced_op<Scalar,false>(low,high,newSize));
|
| ykuroda |
0:13a5d365ba16
|
391
|
}
|
| ykuroda |
0:13a5d365ba16
|
392
|
|
| ykuroda |
0:13a5d365ba16
|
393
|
/**
|
| ykuroda |
0:13a5d365ba16
|
394
|
* \brief Sets a linearly space vector.
|
| ykuroda |
0:13a5d365ba16
|
395
|
*
|
| ykuroda |
0:13a5d365ba16
|
396
|
* The function fill *this with equally spaced values in the closed interval [low,high].
|
| ykuroda |
0:13a5d365ba16
|
397
|
* When size is set to 1, a vector of length 1 containing 'high' is returned.
|
| ykuroda |
0:13a5d365ba16
|
398
|
*
|
| ykuroda |
0:13a5d365ba16
|
399
|
* \only_for_vectors
|
| ykuroda |
0:13a5d365ba16
|
400
|
*
|
| ykuroda |
0:13a5d365ba16
|
401
|
* \sa setLinSpaced(Index, const Scalar&, const Scalar&), CwiseNullaryOp
|
| ykuroda |
0:13a5d365ba16
|
402
|
*/
|
| ykuroda |
0:13a5d365ba16
|
403
|
template<typename Derived>
|
| ykuroda |
0:13a5d365ba16
|
404
|
EIGEN_STRONG_INLINE Derived& DenseBase<Derived>::setLinSpaced(const Scalar& low, const Scalar& high)
|
| ykuroda |
0:13a5d365ba16
|
405
|
{
|
| ykuroda |
0:13a5d365ba16
|
406
|
EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived)
|
| ykuroda |
0:13a5d365ba16
|
407
|
return setLinSpaced(size(), low, high);
|
| ykuroda |
0:13a5d365ba16
|
408
|
}
|
| ykuroda |
0:13a5d365ba16
|
409
|
|
| ykuroda |
0:13a5d365ba16
|
410
|
// zero:
|
| ykuroda |
0:13a5d365ba16
|
411
|
|
| ykuroda |
0:13a5d365ba16
|
412
|
/** \returns an expression of a zero matrix.
|
| ykuroda |
0:13a5d365ba16
|
413
|
*
|
| ykuroda |
0:13a5d365ba16
|
414
|
* The parameters \a rows and \a cols are the number of rows and of columns of
|
| ykuroda |
0:13a5d365ba16
|
415
|
* the returned matrix. Must be compatible with this MatrixBase type.
|
| ykuroda |
0:13a5d365ba16
|
416
|
*
|
| ykuroda |
0:13a5d365ba16
|
417
|
* This variant is meant to be used for dynamic-size matrix types. For fixed-size types,
|
| ykuroda |
0:13a5d365ba16
|
418
|
* it is redundant to pass \a rows and \a cols as arguments, so Zero() should be used
|
| ykuroda |
0:13a5d365ba16
|
419
|
* instead.
|
| ykuroda |
0:13a5d365ba16
|
420
|
*
|
| ykuroda |
0:13a5d365ba16
|
421
|
* Example: \include MatrixBase_zero_int_int.cpp
|
| ykuroda |
0:13a5d365ba16
|
422
|
* Output: \verbinclude MatrixBase_zero_int_int.out
|
| ykuroda |
0:13a5d365ba16
|
423
|
*
|
| ykuroda |
0:13a5d365ba16
|
424
|
* \sa Zero(), Zero(Index)
|
| ykuroda |
0:13a5d365ba16
|
425
|
*/
|
| ykuroda |
0:13a5d365ba16
|
426
|
template<typename Derived>
|
| ykuroda |
0:13a5d365ba16
|
427
|
EIGEN_STRONG_INLINE const typename DenseBase<Derived>::ConstantReturnType
|
| ykuroda |
0:13a5d365ba16
|
428
|
DenseBase<Derived>::Zero(Index nbRows, Index nbCols)
|
| ykuroda |
0:13a5d365ba16
|
429
|
{
|
| ykuroda |
0:13a5d365ba16
|
430
|
return Constant(nbRows, nbCols, Scalar(0));
|
| ykuroda |
0:13a5d365ba16
|
431
|
}
|
| ykuroda |
0:13a5d365ba16
|
432
|
|
| ykuroda |
0:13a5d365ba16
|
433
|
/** \returns an expression of a zero vector.
|
| ykuroda |
0:13a5d365ba16
|
434
|
*
|
| ykuroda |
0:13a5d365ba16
|
435
|
* The parameter \a size is the size of the returned vector.
|
| ykuroda |
0:13a5d365ba16
|
436
|
* Must be compatible with this MatrixBase type.
|
| ykuroda |
0:13a5d365ba16
|
437
|
*
|
| ykuroda |
0:13a5d365ba16
|
438
|
* \only_for_vectors
|
| ykuroda |
0:13a5d365ba16
|
439
|
*
|
| ykuroda |
0:13a5d365ba16
|
440
|
* This variant is meant to be used for dynamic-size vector types. For fixed-size types,
|
| ykuroda |
0:13a5d365ba16
|
441
|
* it is redundant to pass \a size as argument, so Zero() should be used
|
| ykuroda |
0:13a5d365ba16
|
442
|
* instead.
|
| ykuroda |
0:13a5d365ba16
|
443
|
*
|
| ykuroda |
0:13a5d365ba16
|
444
|
* Example: \include MatrixBase_zero_int.cpp
|
| ykuroda |
0:13a5d365ba16
|
445
|
* Output: \verbinclude MatrixBase_zero_int.out
|
| ykuroda |
0:13a5d365ba16
|
446
|
*
|
| ykuroda |
0:13a5d365ba16
|
447
|
* \sa Zero(), Zero(Index,Index)
|
| ykuroda |
0:13a5d365ba16
|
448
|
*/
|
| ykuroda |
0:13a5d365ba16
|
449
|
template<typename Derived>
|
| ykuroda |
0:13a5d365ba16
|
450
|
EIGEN_STRONG_INLINE const typename DenseBase<Derived>::ConstantReturnType
|
| ykuroda |
0:13a5d365ba16
|
451
|
DenseBase<Derived>::Zero(Index size)
|
| ykuroda |
0:13a5d365ba16
|
452
|
{
|
| ykuroda |
0:13a5d365ba16
|
453
|
return Constant(size, Scalar(0));
|
| ykuroda |
0:13a5d365ba16
|
454
|
}
|
| ykuroda |
0:13a5d365ba16
|
455
|
|
| ykuroda |
0:13a5d365ba16
|
456
|
/** \returns an expression of a fixed-size zero matrix or vector.
|
| ykuroda |
0:13a5d365ba16
|
457
|
*
|
| ykuroda |
0:13a5d365ba16
|
458
|
* This variant is only for fixed-size MatrixBase types. For dynamic-size types, you
|
| ykuroda |
0:13a5d365ba16
|
459
|
* need to use the variants taking size arguments.
|
| ykuroda |
0:13a5d365ba16
|
460
|
*
|
| ykuroda |
0:13a5d365ba16
|
461
|
* Example: \include MatrixBase_zero.cpp
|
| ykuroda |
0:13a5d365ba16
|
462
|
* Output: \verbinclude MatrixBase_zero.out
|
| ykuroda |
0:13a5d365ba16
|
463
|
*
|
| ykuroda |
0:13a5d365ba16
|
464
|
* \sa Zero(Index), Zero(Index,Index)
|
| ykuroda |
0:13a5d365ba16
|
465
|
*/
|
| ykuroda |
0:13a5d365ba16
|
466
|
template<typename Derived>
|
| ykuroda |
0:13a5d365ba16
|
467
|
EIGEN_STRONG_INLINE const typename DenseBase<Derived>::ConstantReturnType
|
| ykuroda |
0:13a5d365ba16
|
468
|
DenseBase<Derived>::Zero()
|
| ykuroda |
0:13a5d365ba16
|
469
|
{
|
| ykuroda |
0:13a5d365ba16
|
470
|
return Constant(Scalar(0));
|
| ykuroda |
0:13a5d365ba16
|
471
|
}
|
| ykuroda |
0:13a5d365ba16
|
472
|
|
| ykuroda |
0:13a5d365ba16
|
473
|
/** \returns true if *this is approximately equal to the zero matrix,
|
| ykuroda |
0:13a5d365ba16
|
474
|
* within the precision given by \a prec.
|
| ykuroda |
0:13a5d365ba16
|
475
|
*
|
| ykuroda |
0:13a5d365ba16
|
476
|
* Example: \include MatrixBase_isZero.cpp
|
| ykuroda |
0:13a5d365ba16
|
477
|
* Output: \verbinclude MatrixBase_isZero.out
|
| ykuroda |
0:13a5d365ba16
|
478
|
*
|
| ykuroda |
0:13a5d365ba16
|
479
|
* \sa class CwiseNullaryOp, Zero()
|
| ykuroda |
0:13a5d365ba16
|
480
|
*/
|
| ykuroda |
0:13a5d365ba16
|
481
|
template<typename Derived>
|
| ykuroda |
0:13a5d365ba16
|
482
|
bool DenseBase<Derived>::isZero(const RealScalar& prec) const
|
| ykuroda |
0:13a5d365ba16
|
483
|
{
|
| ykuroda |
0:13a5d365ba16
|
484
|
for(Index j = 0; j < cols(); ++j)
|
| ykuroda |
0:13a5d365ba16
|
485
|
for(Index i = 0; i < rows(); ++i)
|
| ykuroda |
0:13a5d365ba16
|
486
|
if(!internal::isMuchSmallerThan(this->coeff(i, j), static_cast<Scalar>(1), prec))
|
| ykuroda |
0:13a5d365ba16
|
487
|
return false;
|
| ykuroda |
0:13a5d365ba16
|
488
|
return true;
|
| ykuroda |
0:13a5d365ba16
|
489
|
}
|
| ykuroda |
0:13a5d365ba16
|
490
|
|
| ykuroda |
0:13a5d365ba16
|
491
|
/** Sets all coefficients in this expression to zero.
|
| ykuroda |
0:13a5d365ba16
|
492
|
*
|
| ykuroda |
0:13a5d365ba16
|
493
|
* Example: \include MatrixBase_setZero.cpp
|
| ykuroda |
0:13a5d365ba16
|
494
|
* Output: \verbinclude MatrixBase_setZero.out
|
| ykuroda |
0:13a5d365ba16
|
495
|
*
|
| ykuroda |
0:13a5d365ba16
|
496
|
* \sa class CwiseNullaryOp, Zero()
|
| ykuroda |
0:13a5d365ba16
|
497
|
*/
|
| ykuroda |
0:13a5d365ba16
|
498
|
template<typename Derived>
|
| ykuroda |
0:13a5d365ba16
|
499
|
EIGEN_STRONG_INLINE Derived& DenseBase<Derived>::setZero()
|
| ykuroda |
0:13a5d365ba16
|
500
|
{
|
| ykuroda |
0:13a5d365ba16
|
501
|
return setConstant(Scalar(0));
|
| ykuroda |
0:13a5d365ba16
|
502
|
}
|
| ykuroda |
0:13a5d365ba16
|
503
|
|
| ykuroda |
0:13a5d365ba16
|
504
|
/** Resizes to the given \a size, and sets all coefficients in this expression to zero.
|
| ykuroda |
0:13a5d365ba16
|
505
|
*
|
| ykuroda |
0:13a5d365ba16
|
506
|
* \only_for_vectors
|
| ykuroda |
0:13a5d365ba16
|
507
|
*
|
| ykuroda |
0:13a5d365ba16
|
508
|
* Example: \include Matrix_setZero_int.cpp
|
| ykuroda |
0:13a5d365ba16
|
509
|
* Output: \verbinclude Matrix_setZero_int.out
|
| ykuroda |
0:13a5d365ba16
|
510
|
*
|
| ykuroda |
0:13a5d365ba16
|
511
|
* \sa DenseBase::setZero(), setZero(Index,Index), class CwiseNullaryOp, DenseBase::Zero()
|
| ykuroda |
0:13a5d365ba16
|
512
|
*/
|
| ykuroda |
0:13a5d365ba16
|
513
|
template<typename Derived>
|
| ykuroda |
0:13a5d365ba16
|
514
|
EIGEN_STRONG_INLINE Derived&
|
| ykuroda |
0:13a5d365ba16
|
515
|
PlainObjectBase<Derived>::setZero(Index newSize)
|
| ykuroda |
0:13a5d365ba16
|
516
|
{
|
| ykuroda |
0:13a5d365ba16
|
517
|
resize(newSize);
|
| ykuroda |
0:13a5d365ba16
|
518
|
return setConstant(Scalar(0));
|
| ykuroda |
0:13a5d365ba16
|
519
|
}
|
| ykuroda |
0:13a5d365ba16
|
520
|
|
| ykuroda |
0:13a5d365ba16
|
521
|
/** Resizes to the given size, and sets all coefficients in this expression to zero.
|
| ykuroda |
0:13a5d365ba16
|
522
|
*
|
| ykuroda |
0:13a5d365ba16
|
523
|
* \param nbRows the new number of rows
|
| ykuroda |
0:13a5d365ba16
|
524
|
* \param nbCols the new number of columns
|
| ykuroda |
0:13a5d365ba16
|
525
|
*
|
| ykuroda |
0:13a5d365ba16
|
526
|
* Example: \include Matrix_setZero_int_int.cpp
|
| ykuroda |
0:13a5d365ba16
|
527
|
* Output: \verbinclude Matrix_setZero_int_int.out
|
| ykuroda |
0:13a5d365ba16
|
528
|
*
|
| ykuroda |
0:13a5d365ba16
|
529
|
* \sa DenseBase::setZero(), setZero(Index), class CwiseNullaryOp, DenseBase::Zero()
|
| ykuroda |
0:13a5d365ba16
|
530
|
*/
|
| ykuroda |
0:13a5d365ba16
|
531
|
template<typename Derived>
|
| ykuroda |
0:13a5d365ba16
|
532
|
EIGEN_STRONG_INLINE Derived&
|
| ykuroda |
0:13a5d365ba16
|
533
|
PlainObjectBase<Derived>::setZero(Index nbRows, Index nbCols)
|
| ykuroda |
0:13a5d365ba16
|
534
|
{
|
| ykuroda |
0:13a5d365ba16
|
535
|
resize(nbRows, nbCols);
|
| ykuroda |
0:13a5d365ba16
|
536
|
return setConstant(Scalar(0));
|
| ykuroda |
0:13a5d365ba16
|
537
|
}
|
| ykuroda |
0:13a5d365ba16
|
538
|
|
| ykuroda |
0:13a5d365ba16
|
539
|
// ones:
|
| ykuroda |
0:13a5d365ba16
|
540
|
|
| ykuroda |
0:13a5d365ba16
|
541
|
/** \returns an expression of a matrix where all coefficients equal one.
|
| ykuroda |
0:13a5d365ba16
|
542
|
*
|
| ykuroda |
0:13a5d365ba16
|
543
|
* The parameters \a nbRows and \a nbCols are the number of rows and of columns of
|
| ykuroda |
0:13a5d365ba16
|
544
|
* the returned matrix. Must be compatible with this MatrixBase type.
|
| ykuroda |
0:13a5d365ba16
|
545
|
*
|
| ykuroda |
0:13a5d365ba16
|
546
|
* This variant is meant to be used for dynamic-size matrix types. For fixed-size types,
|
| ykuroda |
0:13a5d365ba16
|
547
|
* it is redundant to pass \a rows and \a cols as arguments, so Ones() should be used
|
| ykuroda |
0:13a5d365ba16
|
548
|
* instead.
|
| ykuroda |
0:13a5d365ba16
|
549
|
*
|
| ykuroda |
0:13a5d365ba16
|
550
|
* Example: \include MatrixBase_ones_int_int.cpp
|
| ykuroda |
0:13a5d365ba16
|
551
|
* Output: \verbinclude MatrixBase_ones_int_int.out
|
| ykuroda |
0:13a5d365ba16
|
552
|
*
|
| ykuroda |
0:13a5d365ba16
|
553
|
* \sa Ones(), Ones(Index), isOnes(), class Ones
|
| ykuroda |
0:13a5d365ba16
|
554
|
*/
|
| ykuroda |
0:13a5d365ba16
|
555
|
template<typename Derived>
|
| ykuroda |
0:13a5d365ba16
|
556
|
EIGEN_STRONG_INLINE const typename DenseBase<Derived>::ConstantReturnType
|
| ykuroda |
0:13a5d365ba16
|
557
|
DenseBase<Derived>::Ones(Index nbRows, Index nbCols)
|
| ykuroda |
0:13a5d365ba16
|
558
|
{
|
| ykuroda |
0:13a5d365ba16
|
559
|
return Constant(nbRows, nbCols, Scalar(1));
|
| ykuroda |
0:13a5d365ba16
|
560
|
}
|
| ykuroda |
0:13a5d365ba16
|
561
|
|
| ykuroda |
0:13a5d365ba16
|
562
|
/** \returns an expression of a vector where all coefficients equal one.
|
| ykuroda |
0:13a5d365ba16
|
563
|
*
|
| ykuroda |
0:13a5d365ba16
|
564
|
* The parameter \a newSize is the size of the returned vector.
|
| ykuroda |
0:13a5d365ba16
|
565
|
* Must be compatible with this MatrixBase type.
|
| ykuroda |
0:13a5d365ba16
|
566
|
*
|
| ykuroda |
0:13a5d365ba16
|
567
|
* \only_for_vectors
|
| ykuroda |
0:13a5d365ba16
|
568
|
*
|
| ykuroda |
0:13a5d365ba16
|
569
|
* This variant is meant to be used for dynamic-size vector types. For fixed-size types,
|
| ykuroda |
0:13a5d365ba16
|
570
|
* it is redundant to pass \a size as argument, so Ones() should be used
|
| ykuroda |
0:13a5d365ba16
|
571
|
* instead.
|
| ykuroda |
0:13a5d365ba16
|
572
|
*
|
| ykuroda |
0:13a5d365ba16
|
573
|
* Example: \include MatrixBase_ones_int.cpp
|
| ykuroda |
0:13a5d365ba16
|
574
|
* Output: \verbinclude MatrixBase_ones_int.out
|
| ykuroda |
0:13a5d365ba16
|
575
|
*
|
| ykuroda |
0:13a5d365ba16
|
576
|
* \sa Ones(), Ones(Index,Index), isOnes(), class Ones
|
| ykuroda |
0:13a5d365ba16
|
577
|
*/
|
| ykuroda |
0:13a5d365ba16
|
578
|
template<typename Derived>
|
| ykuroda |
0:13a5d365ba16
|
579
|
EIGEN_STRONG_INLINE const typename DenseBase<Derived>::ConstantReturnType
|
| ykuroda |
0:13a5d365ba16
|
580
|
DenseBase<Derived>::Ones(Index newSize)
|
| ykuroda |
0:13a5d365ba16
|
581
|
{
|
| ykuroda |
0:13a5d365ba16
|
582
|
return Constant(newSize, Scalar(1));
|
| ykuroda |
0:13a5d365ba16
|
583
|
}
|
| ykuroda |
0:13a5d365ba16
|
584
|
|
| ykuroda |
0:13a5d365ba16
|
585
|
/** \returns an expression of a fixed-size matrix or vector where all coefficients equal one.
|
| ykuroda |
0:13a5d365ba16
|
586
|
*
|
| ykuroda |
0:13a5d365ba16
|
587
|
* This variant is only for fixed-size MatrixBase types. For dynamic-size types, you
|
| ykuroda |
0:13a5d365ba16
|
588
|
* need to use the variants taking size arguments.
|
| ykuroda |
0:13a5d365ba16
|
589
|
*
|
| ykuroda |
0:13a5d365ba16
|
590
|
* Example: \include MatrixBase_ones.cpp
|
| ykuroda |
0:13a5d365ba16
|
591
|
* Output: \verbinclude MatrixBase_ones.out
|
| ykuroda |
0:13a5d365ba16
|
592
|
*
|
| ykuroda |
0:13a5d365ba16
|
593
|
* \sa Ones(Index), Ones(Index,Index), isOnes(), class Ones
|
| ykuroda |
0:13a5d365ba16
|
594
|
*/
|
| ykuroda |
0:13a5d365ba16
|
595
|
template<typename Derived>
|
| ykuroda |
0:13a5d365ba16
|
596
|
EIGEN_STRONG_INLINE const typename DenseBase<Derived>::ConstantReturnType
|
| ykuroda |
0:13a5d365ba16
|
597
|
DenseBase<Derived>::Ones()
|
| ykuroda |
0:13a5d365ba16
|
598
|
{
|
| ykuroda |
0:13a5d365ba16
|
599
|
return Constant(Scalar(1));
|
| ykuroda |
0:13a5d365ba16
|
600
|
}
|
| ykuroda |
0:13a5d365ba16
|
601
|
|
| ykuroda |
0:13a5d365ba16
|
602
|
/** \returns true if *this is approximately equal to the matrix where all coefficients
|
| ykuroda |
0:13a5d365ba16
|
603
|
* are equal to 1, within the precision given by \a prec.
|
| ykuroda |
0:13a5d365ba16
|
604
|
*
|
| ykuroda |
0:13a5d365ba16
|
605
|
* Example: \include MatrixBase_isOnes.cpp
|
| ykuroda |
0:13a5d365ba16
|
606
|
* Output: \verbinclude MatrixBase_isOnes.out
|
| ykuroda |
0:13a5d365ba16
|
607
|
*
|
| ykuroda |
0:13a5d365ba16
|
608
|
* \sa class CwiseNullaryOp, Ones()
|
| ykuroda |
0:13a5d365ba16
|
609
|
*/
|
| ykuroda |
0:13a5d365ba16
|
610
|
template<typename Derived>
|
| ykuroda |
0:13a5d365ba16
|
611
|
bool DenseBase<Derived>::isOnes
|
| ykuroda |
0:13a5d365ba16
|
612
|
(const RealScalar& prec) const
|
| ykuroda |
0:13a5d365ba16
|
613
|
{
|
| ykuroda |
0:13a5d365ba16
|
614
|
return isApproxToConstant(Scalar(1), prec);
|
| ykuroda |
0:13a5d365ba16
|
615
|
}
|
| ykuroda |
0:13a5d365ba16
|
616
|
|
| ykuroda |
0:13a5d365ba16
|
617
|
/** Sets all coefficients in this expression to one.
|
| ykuroda |
0:13a5d365ba16
|
618
|
*
|
| ykuroda |
0:13a5d365ba16
|
619
|
* Example: \include MatrixBase_setOnes.cpp
|
| ykuroda |
0:13a5d365ba16
|
620
|
* Output: \verbinclude MatrixBase_setOnes.out
|
| ykuroda |
0:13a5d365ba16
|
621
|
*
|
| ykuroda |
0:13a5d365ba16
|
622
|
* \sa class CwiseNullaryOp, Ones()
|
| ykuroda |
0:13a5d365ba16
|
623
|
*/
|
| ykuroda |
0:13a5d365ba16
|
624
|
template<typename Derived>
|
| ykuroda |
0:13a5d365ba16
|
625
|
EIGEN_STRONG_INLINE Derived& DenseBase<Derived>::setOnes()
|
| ykuroda |
0:13a5d365ba16
|
626
|
{
|
| ykuroda |
0:13a5d365ba16
|
627
|
return setConstant(Scalar(1));
|
| ykuroda |
0:13a5d365ba16
|
628
|
}
|
| ykuroda |
0:13a5d365ba16
|
629
|
|
| ykuroda |
0:13a5d365ba16
|
630
|
/** Resizes to the given \a newSize, and sets all coefficients in this expression to one.
|
| ykuroda |
0:13a5d365ba16
|
631
|
*
|
| ykuroda |
0:13a5d365ba16
|
632
|
* \only_for_vectors
|
| ykuroda |
0:13a5d365ba16
|
633
|
*
|
| ykuroda |
0:13a5d365ba16
|
634
|
* Example: \include Matrix_setOnes_int.cpp
|
| ykuroda |
0:13a5d365ba16
|
635
|
* Output: \verbinclude Matrix_setOnes_int.out
|
| ykuroda |
0:13a5d365ba16
|
636
|
*
|
| ykuroda |
0:13a5d365ba16
|
637
|
* \sa MatrixBase::setOnes(), setOnes(Index,Index), class CwiseNullaryOp, MatrixBase::Ones()
|
| ykuroda |
0:13a5d365ba16
|
638
|
*/
|
| ykuroda |
0:13a5d365ba16
|
639
|
template<typename Derived>
|
| ykuroda |
0:13a5d365ba16
|
640
|
EIGEN_STRONG_INLINE Derived&
|
| ykuroda |
0:13a5d365ba16
|
641
|
PlainObjectBase<Derived>::setOnes(Index newSize)
|
| ykuroda |
0:13a5d365ba16
|
642
|
{
|
| ykuroda |
0:13a5d365ba16
|
643
|
resize(newSize);
|
| ykuroda |
0:13a5d365ba16
|
644
|
return setConstant(Scalar(1));
|
| ykuroda |
0:13a5d365ba16
|
645
|
}
|
| ykuroda |
0:13a5d365ba16
|
646
|
|
| ykuroda |
0:13a5d365ba16
|
647
|
/** Resizes to the given size, and sets all coefficients in this expression to one.
|
| ykuroda |
0:13a5d365ba16
|
648
|
*
|
| ykuroda |
0:13a5d365ba16
|
649
|
* \param nbRows the new number of rows
|
| ykuroda |
0:13a5d365ba16
|
650
|
* \param nbCols the new number of columns
|
| ykuroda |
0:13a5d365ba16
|
651
|
*
|
| ykuroda |
0:13a5d365ba16
|
652
|
* Example: \include Matrix_setOnes_int_int.cpp
|
| ykuroda |
0:13a5d365ba16
|
653
|
* Output: \verbinclude Matrix_setOnes_int_int.out
|
| ykuroda |
0:13a5d365ba16
|
654
|
*
|
| ykuroda |
0:13a5d365ba16
|
655
|
* \sa MatrixBase::setOnes(), setOnes(Index), class CwiseNullaryOp, MatrixBase::Ones()
|
| ykuroda |
0:13a5d365ba16
|
656
|
*/
|
| ykuroda |
0:13a5d365ba16
|
657
|
template<typename Derived>
|
| ykuroda |
0:13a5d365ba16
|
658
|
EIGEN_STRONG_INLINE Derived&
|
| ykuroda |
0:13a5d365ba16
|
659
|
PlainObjectBase<Derived>::setOnes(Index nbRows, Index nbCols)
|
| ykuroda |
0:13a5d365ba16
|
660
|
{
|
| ykuroda |
0:13a5d365ba16
|
661
|
resize(nbRows, nbCols);
|
| ykuroda |
0:13a5d365ba16
|
662
|
return setConstant(Scalar(1));
|
| ykuroda |
0:13a5d365ba16
|
663
|
}
|
| ykuroda |
0:13a5d365ba16
|
664
|
|
| ykuroda |
0:13a5d365ba16
|
665
|
// Identity:
|
| ykuroda |
0:13a5d365ba16
|
666
|
|
| ykuroda |
0:13a5d365ba16
|
667
|
/** \returns an expression of the identity matrix (not necessarily square).
|
| ykuroda |
0:13a5d365ba16
|
668
|
*
|
| ykuroda |
0:13a5d365ba16
|
669
|
* The parameters \a nbRows and \a nbCols are the number of rows and of columns of
|
| ykuroda |
0:13a5d365ba16
|
670
|
* the returned matrix. Must be compatible with this MatrixBase type.
|
| ykuroda |
0:13a5d365ba16
|
671
|
*
|
| ykuroda |
0:13a5d365ba16
|
672
|
* This variant is meant to be used for dynamic-size matrix types. For fixed-size types,
|
| ykuroda |
0:13a5d365ba16
|
673
|
* it is redundant to pass \a rows and \a cols as arguments, so Identity() should be used
|
| ykuroda |
0:13a5d365ba16
|
674
|
* instead.
|
| ykuroda |
0:13a5d365ba16
|
675
|
*
|
| ykuroda |
0:13a5d365ba16
|
676
|
* Example: \include MatrixBase_identity_int_int.cpp
|
| ykuroda |
0:13a5d365ba16
|
677
|
* Output: \verbinclude MatrixBase_identity_int_int.out
|
| ykuroda |
0:13a5d365ba16
|
678
|
*
|
| ykuroda |
0:13a5d365ba16
|
679
|
* \sa Identity(), setIdentity(), isIdentity()
|
| ykuroda |
0:13a5d365ba16
|
680
|
*/
|
| ykuroda |
0:13a5d365ba16
|
681
|
template<typename Derived>
|
| ykuroda |
0:13a5d365ba16
|
682
|
EIGEN_STRONG_INLINE const typename MatrixBase<Derived>::IdentityReturnType
|
| ykuroda |
0:13a5d365ba16
|
683
|
MatrixBase<Derived>::Identity(Index nbRows, Index nbCols)
|
| ykuroda |
0:13a5d365ba16
|
684
|
{
|
| ykuroda |
0:13a5d365ba16
|
685
|
return DenseBase<Derived>::NullaryExpr(nbRows, nbCols, internal::scalar_identity_op<Scalar>());
|
| ykuroda |
0:13a5d365ba16
|
686
|
}
|
| ykuroda |
0:13a5d365ba16
|
687
|
|
| ykuroda |
0:13a5d365ba16
|
688
|
/** \returns an expression of the identity matrix (not necessarily square).
|
| ykuroda |
0:13a5d365ba16
|
689
|
*
|
| ykuroda |
0:13a5d365ba16
|
690
|
* This variant is only for fixed-size MatrixBase types. For dynamic-size types, you
|
| ykuroda |
0:13a5d365ba16
|
691
|
* need to use the variant taking size arguments.
|
| ykuroda |
0:13a5d365ba16
|
692
|
*
|
| ykuroda |
0:13a5d365ba16
|
693
|
* Example: \include MatrixBase_identity.cpp
|
| ykuroda |
0:13a5d365ba16
|
694
|
* Output: \verbinclude MatrixBase_identity.out
|
| ykuroda |
0:13a5d365ba16
|
695
|
*
|
| ykuroda |
0:13a5d365ba16
|
696
|
* \sa Identity(Index,Index), setIdentity(), isIdentity()
|
| ykuroda |
0:13a5d365ba16
|
697
|
*/
|
| ykuroda |
0:13a5d365ba16
|
698
|
template<typename Derived>
|
| ykuroda |
0:13a5d365ba16
|
699
|
EIGEN_STRONG_INLINE const typename MatrixBase<Derived>::IdentityReturnType
|
| ykuroda |
0:13a5d365ba16
|
700
|
MatrixBase<Derived>::Identity()
|
| ykuroda |
0:13a5d365ba16
|
701
|
{
|
| ykuroda |
0:13a5d365ba16
|
702
|
EIGEN_STATIC_ASSERT_FIXED_SIZE(Derived)
|
| ykuroda |
0:13a5d365ba16
|
703
|
return MatrixBase<Derived>::NullaryExpr(RowsAtCompileTime, ColsAtCompileTime, internal::scalar_identity_op<Scalar>());
|
| ykuroda |
0:13a5d365ba16
|
704
|
}
|
| ykuroda |
0:13a5d365ba16
|
705
|
|
| ykuroda |
0:13a5d365ba16
|
706
|
/** \returns true if *this is approximately equal to the identity matrix
|
| ykuroda |
0:13a5d365ba16
|
707
|
* (not necessarily square),
|
| ykuroda |
0:13a5d365ba16
|
708
|
* within the precision given by \a prec.
|
| ykuroda |
0:13a5d365ba16
|
709
|
*
|
| ykuroda |
0:13a5d365ba16
|
710
|
* Example: \include MatrixBase_isIdentity.cpp
|
| ykuroda |
0:13a5d365ba16
|
711
|
* Output: \verbinclude MatrixBase_isIdentity.out
|
| ykuroda |
0:13a5d365ba16
|
712
|
*
|
| ykuroda |
0:13a5d365ba16
|
713
|
* \sa class CwiseNullaryOp, Identity(), Identity(Index,Index), setIdentity()
|
| ykuroda |
0:13a5d365ba16
|
714
|
*/
|
| ykuroda |
0:13a5d365ba16
|
715
|
template<typename Derived>
|
| ykuroda |
0:13a5d365ba16
|
716
|
bool MatrixBase<Derived>::isIdentity
|
| ykuroda |
0:13a5d365ba16
|
717
|
(const RealScalar& prec) const
|
| ykuroda |
0:13a5d365ba16
|
718
|
{
|
| ykuroda |
0:13a5d365ba16
|
719
|
for(Index j = 0; j < cols(); ++j)
|
| ykuroda |
0:13a5d365ba16
|
720
|
{
|
| ykuroda |
0:13a5d365ba16
|
721
|
for(Index i = 0; i < rows(); ++i)
|
| ykuroda |
0:13a5d365ba16
|
722
|
{
|
| ykuroda |
0:13a5d365ba16
|
723
|
if(i == j)
|
| ykuroda |
0:13a5d365ba16
|
724
|
{
|
| ykuroda |
0:13a5d365ba16
|
725
|
if(!internal::isApprox(this->coeff(i, j), static_cast<Scalar>(1), prec))
|
| ykuroda |
0:13a5d365ba16
|
726
|
return false;
|
| ykuroda |
0:13a5d365ba16
|
727
|
}
|
| ykuroda |
0:13a5d365ba16
|
728
|
else
|
| ykuroda |
0:13a5d365ba16
|
729
|
{
|
| ykuroda |
0:13a5d365ba16
|
730
|
if(!internal::isMuchSmallerThan(this->coeff(i, j), static_cast<RealScalar>(1), prec))
|
| ykuroda |
0:13a5d365ba16
|
731
|
return false;
|
| ykuroda |
0:13a5d365ba16
|
732
|
}
|
| ykuroda |
0:13a5d365ba16
|
733
|
}
|
| ykuroda |
0:13a5d365ba16
|
734
|
}
|
| ykuroda |
0:13a5d365ba16
|
735
|
return true;
|
| ykuroda |
0:13a5d365ba16
|
736
|
}
|
| ykuroda |
0:13a5d365ba16
|
737
|
|
| ykuroda |
0:13a5d365ba16
|
738
|
namespace internal {
|
| ykuroda |
0:13a5d365ba16
|
739
|
|
| ykuroda |
0:13a5d365ba16
|
740
|
template<typename Derived, bool Big = (Derived::SizeAtCompileTime>=16)>
|
| ykuroda |
0:13a5d365ba16
|
741
|
struct setIdentity_impl
|
| ykuroda |
0:13a5d365ba16
|
742
|
{
|
| ykuroda |
0:13a5d365ba16
|
743
|
static EIGEN_STRONG_INLINE Derived& run(Derived& m)
|
| ykuroda |
0:13a5d365ba16
|
744
|
{
|
| ykuroda |
0:13a5d365ba16
|
745
|
return m = Derived::Identity(m.rows(), m.cols());
|
| ykuroda |
0:13a5d365ba16
|
746
|
}
|
| ykuroda |
0:13a5d365ba16
|
747
|
};
|
| ykuroda |
0:13a5d365ba16
|
748
|
|
| ykuroda |
0:13a5d365ba16
|
749
|
template<typename Derived>
|
| ykuroda |
0:13a5d365ba16
|
750
|
struct setIdentity_impl<Derived, true>
|
| ykuroda |
0:13a5d365ba16
|
751
|
{
|
| ykuroda |
0:13a5d365ba16
|
752
|
typedef typename Derived::Index Index;
|
| ykuroda |
0:13a5d365ba16
|
753
|
static EIGEN_STRONG_INLINE Derived& run(Derived& m)
|
| ykuroda |
0:13a5d365ba16
|
754
|
{
|
| ykuroda |
0:13a5d365ba16
|
755
|
m.setZero();
|
| ykuroda |
0:13a5d365ba16
|
756
|
const Index size = (std::min)(m.rows(), m.cols());
|
| ykuroda |
0:13a5d365ba16
|
757
|
for(Index i = 0; i < size; ++i) m.coeffRef(i,i) = typename Derived::Scalar(1);
|
| ykuroda |
0:13a5d365ba16
|
758
|
return m;
|
| ykuroda |
0:13a5d365ba16
|
759
|
}
|
| ykuroda |
0:13a5d365ba16
|
760
|
};
|
| ykuroda |
0:13a5d365ba16
|
761
|
|
| ykuroda |
0:13a5d365ba16
|
762
|
} // end namespace internal
|
| ykuroda |
0:13a5d365ba16
|
763
|
|
| ykuroda |
0:13a5d365ba16
|
764
|
/** Writes the identity expression (not necessarily square) into *this.
|
| ykuroda |
0:13a5d365ba16
|
765
|
*
|
| ykuroda |
0:13a5d365ba16
|
766
|
* Example: \include MatrixBase_setIdentity.cpp
|
| ykuroda |
0:13a5d365ba16
|
767
|
* Output: \verbinclude MatrixBase_setIdentity.out
|
| ykuroda |
0:13a5d365ba16
|
768
|
*
|
| ykuroda |
0:13a5d365ba16
|
769
|
* \sa class CwiseNullaryOp, Identity(), Identity(Index,Index), isIdentity()
|
| ykuroda |
0:13a5d365ba16
|
770
|
*/
|
| ykuroda |
0:13a5d365ba16
|
771
|
template<typename Derived>
|
| ykuroda |
0:13a5d365ba16
|
772
|
EIGEN_STRONG_INLINE Derived& MatrixBase<Derived>::setIdentity()
|
| ykuroda |
0:13a5d365ba16
|
773
|
{
|
| ykuroda |
0:13a5d365ba16
|
774
|
return internal::setIdentity_impl<Derived>::run(derived());
|
| ykuroda |
0:13a5d365ba16
|
775
|
}
|
| ykuroda |
0:13a5d365ba16
|
776
|
|
| ykuroda |
0:13a5d365ba16
|
777
|
/** \brief Resizes to the given size, and writes the identity expression (not necessarily square) into *this.
|
| ykuroda |
0:13a5d365ba16
|
778
|
*
|
| ykuroda |
0:13a5d365ba16
|
779
|
* \param nbRows the new number of rows
|
| ykuroda |
0:13a5d365ba16
|
780
|
* \param nbCols the new number of columns
|
| ykuroda |
0:13a5d365ba16
|
781
|
*
|
| ykuroda |
0:13a5d365ba16
|
782
|
* Example: \include Matrix_setIdentity_int_int.cpp
|
| ykuroda |
0:13a5d365ba16
|
783
|
* Output: \verbinclude Matrix_setIdentity_int_int.out
|
| ykuroda |
0:13a5d365ba16
|
784
|
*
|
| ykuroda |
0:13a5d365ba16
|
785
|
* \sa MatrixBase::setIdentity(), class CwiseNullaryOp, MatrixBase::Identity()
|
| ykuroda |
0:13a5d365ba16
|
786
|
*/
|
| ykuroda |
0:13a5d365ba16
|
787
|
template<typename Derived>
|
| ykuroda |
0:13a5d365ba16
|
788
|
EIGEN_STRONG_INLINE Derived& MatrixBase<Derived>::setIdentity(Index nbRows, Index nbCols)
|
| ykuroda |
0:13a5d365ba16
|
789
|
{
|
| ykuroda |
0:13a5d365ba16
|
790
|
derived().resize(nbRows, nbCols);
|
| ykuroda |
0:13a5d365ba16
|
791
|
return setIdentity();
|
| ykuroda |
0:13a5d365ba16
|
792
|
}
|
| ykuroda |
0:13a5d365ba16
|
793
|
|
| ykuroda |
0:13a5d365ba16
|
794
|
/** \returns an expression of the i-th unit (basis) vector.
|
| ykuroda |
0:13a5d365ba16
|
795
|
*
|
| ykuroda |
0:13a5d365ba16
|
796
|
* \only_for_vectors
|
| ykuroda |
0:13a5d365ba16
|
797
|
*
|
| ykuroda |
0:13a5d365ba16
|
798
|
* \sa MatrixBase::Unit(Index), MatrixBase::UnitX(), MatrixBase::UnitY(), MatrixBase::UnitZ(), MatrixBase::UnitW()
|
| ykuroda |
0:13a5d365ba16
|
799
|
*/
|
| ykuroda |
0:13a5d365ba16
|
800
|
template<typename Derived>
|
| ykuroda |
0:13a5d365ba16
|
801
|
EIGEN_STRONG_INLINE const typename MatrixBase<Derived>::BasisReturnType MatrixBase<Derived>::Unit(Index newSize, Index i)
|
| ykuroda |
0:13a5d365ba16
|
802
|
{
|
| ykuroda |
0:13a5d365ba16
|
803
|
EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived)
|
| ykuroda |
0:13a5d365ba16
|
804
|
return BasisReturnType(SquareMatrixType::Identity(newSize,newSize), i);
|
| ykuroda |
0:13a5d365ba16
|
805
|
}
|
| ykuroda |
0:13a5d365ba16
|
806
|
|
| ykuroda |
0:13a5d365ba16
|
807
|
/** \returns an expression of the i-th unit (basis) vector.
|
| ykuroda |
0:13a5d365ba16
|
808
|
*
|
| ykuroda |
0:13a5d365ba16
|
809
|
* \only_for_vectors
|
| ykuroda |
0:13a5d365ba16
|
810
|
*
|
| ykuroda |
0:13a5d365ba16
|
811
|
* This variant is for fixed-size vector only.
|
| ykuroda |
0:13a5d365ba16
|
812
|
*
|
| ykuroda |
0:13a5d365ba16
|
813
|
* \sa MatrixBase::Unit(Index,Index), MatrixBase::UnitX(), MatrixBase::UnitY(), MatrixBase::UnitZ(), MatrixBase::UnitW()
|
| ykuroda |
0:13a5d365ba16
|
814
|
*/
|
| ykuroda |
0:13a5d365ba16
|
815
|
template<typename Derived>
|
| ykuroda |
0:13a5d365ba16
|
816
|
EIGEN_STRONG_INLINE const typename MatrixBase<Derived>::BasisReturnType MatrixBase<Derived>::Unit(Index i)
|
| ykuroda |
0:13a5d365ba16
|
817
|
{
|
| ykuroda |
0:13a5d365ba16
|
818
|
EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived)
|
| ykuroda |
0:13a5d365ba16
|
819
|
return BasisReturnType(SquareMatrixType::Identity(),i);
|
| ykuroda |
0:13a5d365ba16
|
820
|
}
|
| ykuroda |
0:13a5d365ba16
|
821
|
|
| ykuroda |
0:13a5d365ba16
|
822
|
/** \returns an expression of the X axis unit vector (1{,0}^*)
|
| ykuroda |
0:13a5d365ba16
|
823
|
*
|
| ykuroda |
0:13a5d365ba16
|
824
|
* \only_for_vectors
|
| ykuroda |
0:13a5d365ba16
|
825
|
*
|
| ykuroda |
0:13a5d365ba16
|
826
|
* \sa MatrixBase::Unit(Index,Index), MatrixBase::Unit(Index), MatrixBase::UnitY(), MatrixBase::UnitZ(), MatrixBase::UnitW()
|
| ykuroda |
0:13a5d365ba16
|
827
|
*/
|
| ykuroda |
0:13a5d365ba16
|
828
|
template<typename Derived>
|
| ykuroda |
0:13a5d365ba16
|
829
|
EIGEN_STRONG_INLINE const typename MatrixBase<Derived>::BasisReturnType MatrixBase<Derived>::UnitX()
|
| ykuroda |
0:13a5d365ba16
|
830
|
{ return Derived::Unit(0); }
|
| ykuroda |
0:13a5d365ba16
|
831
|
|
| ykuroda |
0:13a5d365ba16
|
832
|
/** \returns an expression of the Y axis unit vector (0,1{,0}^*)
|
| ykuroda |
0:13a5d365ba16
|
833
|
*
|
| ykuroda |
0:13a5d365ba16
|
834
|
* \only_for_vectors
|
| ykuroda |
0:13a5d365ba16
|
835
|
*
|
| ykuroda |
0:13a5d365ba16
|
836
|
* \sa MatrixBase::Unit(Index,Index), MatrixBase::Unit(Index), MatrixBase::UnitY(), MatrixBase::UnitZ(), MatrixBase::UnitW()
|
| ykuroda |
0:13a5d365ba16
|
837
|
*/
|
| ykuroda |
0:13a5d365ba16
|
838
|
template<typename Derived>
|
| ykuroda |
0:13a5d365ba16
|
839
|
EIGEN_STRONG_INLINE const typename MatrixBase<Derived>::BasisReturnType MatrixBase<Derived>::UnitY()
|
| ykuroda |
0:13a5d365ba16
|
840
|
{ return Derived::Unit(1); }
|
| ykuroda |
0:13a5d365ba16
|
841
|
|
| ykuroda |
0:13a5d365ba16
|
842
|
/** \returns an expression of the Z axis unit vector (0,0,1{,0}^*)
|
| ykuroda |
0:13a5d365ba16
|
843
|
*
|
| ykuroda |
0:13a5d365ba16
|
844
|
* \only_for_vectors
|
| ykuroda |
0:13a5d365ba16
|
845
|
*
|
| ykuroda |
0:13a5d365ba16
|
846
|
* \sa MatrixBase::Unit(Index,Index), MatrixBase::Unit(Index), MatrixBase::UnitY(), MatrixBase::UnitZ(), MatrixBase::UnitW()
|
| ykuroda |
0:13a5d365ba16
|
847
|
*/
|
| ykuroda |
0:13a5d365ba16
|
848
|
template<typename Derived>
|
| ykuroda |
0:13a5d365ba16
|
849
|
EIGEN_STRONG_INLINE const typename MatrixBase<Derived>::BasisReturnType MatrixBase<Derived>::UnitZ()
|
| ykuroda |
0:13a5d365ba16
|
850
|
{ return Derived::Unit(2); }
|
| ykuroda |
0:13a5d365ba16
|
851
|
|
| ykuroda |
0:13a5d365ba16
|
852
|
/** \returns an expression of the W axis unit vector (0,0,0,1)
|
| ykuroda |
0:13a5d365ba16
|
853
|
*
|
| ykuroda |
0:13a5d365ba16
|
854
|
* \only_for_vectors
|
| ykuroda |
0:13a5d365ba16
|
855
|
*
|
| ykuroda |
0:13a5d365ba16
|
856
|
* \sa MatrixBase::Unit(Index,Index), MatrixBase::Unit(Index), MatrixBase::UnitY(), MatrixBase::UnitZ(), MatrixBase::UnitW()
|
| ykuroda |
0:13a5d365ba16
|
857
|
*/
|
| ykuroda |
0:13a5d365ba16
|
858
|
template<typename Derived>
|
| ykuroda |
0:13a5d365ba16
|
859
|
EIGEN_STRONG_INLINE const typename MatrixBase<Derived>::BasisReturnType MatrixBase<Derived>::UnitW()
|
| ykuroda |
0:13a5d365ba16
|
860
|
{ return Derived::Unit(3); }
|
| ykuroda |
0:13a5d365ba16
|
861
|
|
| ykuroda |
0:13a5d365ba16
|
862
|
} // end namespace Eigen
|
| ykuroda |
0:13a5d365ba16
|
863
|
|
| ykuroda |
0:13a5d365ba16
|
864
|
#endif // EIGEN_CWISE_NULLARY_OP_H |