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422 lines
14 KiB
C++
422 lines
14 KiB
C++
// 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 Gael Guennebaud <g.gael@free.fr>
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//
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// Eigen is free software; you can redistribute it and/or
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// modify it under the terms of the GNU Lesser General Public
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// License as published by the Free Software Foundation; either
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// version 3 of the License, or (at your option) any later version.
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//
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// Alternatively, you can redistribute it and/or
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// modify it under the terms of the GNU General Public License as
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// published by the Free Software Foundation; either version 2 of
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// the License, or (at your option) any later version.
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//
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// Eigen is distributed in the hope that it will be useful, but WITHOUT ANY
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// WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
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// FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License or the
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// GNU General Public License for more details.
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//
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// You should have received a copy of the GNU Lesser General Public
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// License and a copy of the GNU General Public License along with
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// Eigen. If not, see <http://www.gnu.org/licenses/>.
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#ifndef EIGEN_ARRAY_CWISE_OPERATORS_H
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#define EIGEN_ARRAY_CWISE_OPERATORS_H
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// -- unary operators --
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/** \array_module
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*
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* \returns an expression of the coefficient-wise square root of *this.
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*
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* Example: \include Cwise_sqrt.cpp
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* Output: \verbinclude Cwise_sqrt.out
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*
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* \sa pow(), square()
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*/
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template<typename ExpressionType>
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inline const EIGEN_CWISE_UNOP_RETURN_TYPE(ei_scalar_sqrt_op)
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Cwise<ExpressionType>::sqrt() const
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{
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return _expression();
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}
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/** \array_module
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*
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* \returns an expression of the coefficient-wise cosine of *this.
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*
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* Example: \include Cwise_cos.cpp
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* Output: \verbinclude Cwise_cos.out
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*
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* \sa sin(), exp(), EIGEN_FAST_MATH
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*/
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template<typename ExpressionType>
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inline const EIGEN_CWISE_UNOP_RETURN_TYPE(ei_scalar_cos_op)
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Cwise<ExpressionType>::cos() const
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{
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return _expression();
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}
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/** \array_module
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*
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* \returns an expression of the coefficient-wise sine of *this.
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*
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* Example: \include Cwise_sin.cpp
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* Output: \verbinclude Cwise_sin.out
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*
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* \sa cos(), exp(), EIGEN_FAST_MATH
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*/
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template<typename ExpressionType>
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inline const EIGEN_CWISE_UNOP_RETURN_TYPE(ei_scalar_sin_op)
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Cwise<ExpressionType>::sin() const
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{
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return _expression();
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}
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/** \array_module
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*
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* \returns an expression of the coefficient-wise power of *this to the given exponent.
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*
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* Example: \include Cwise_pow.cpp
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* Output: \verbinclude Cwise_pow.out
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*
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* \sa exp(), log()
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*/
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template<typename ExpressionType>
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inline const EIGEN_CWISE_UNOP_RETURN_TYPE(ei_scalar_pow_op)
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Cwise<ExpressionType>::pow(const Scalar& exponent) const
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{
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return EIGEN_CWISE_UNOP_RETURN_TYPE(ei_scalar_pow_op)(_expression(), ei_scalar_pow_op<Scalar>(exponent));
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}
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/** \array_module
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*
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* \returns an expression of the coefficient-wise inverse of *this.
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*
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* Example: \include Cwise_inverse.cpp
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* Output: \verbinclude Cwise_inverse.out
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*
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* \sa operator/(), operator*()
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*/
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template<typename ExpressionType>
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inline const EIGEN_CWISE_UNOP_RETURN_TYPE(ei_scalar_inverse_op)
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Cwise<ExpressionType>::inverse() const
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{
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return _expression();
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}
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/** \array_module
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*
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* \returns an expression of the coefficient-wise square of *this.
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*
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* Example: \include Cwise_square.cpp
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* Output: \verbinclude Cwise_square.out
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*
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* \sa operator/(), operator*(), abs2()
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*/
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template<typename ExpressionType>
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inline const EIGEN_CWISE_UNOP_RETURN_TYPE(ei_scalar_square_op)
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Cwise<ExpressionType>::square() const
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{
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return _expression();
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}
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/** \array_module
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*
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* \returns an expression of the coefficient-wise cube of *this.
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*
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* Example: \include Cwise_cube.cpp
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* Output: \verbinclude Cwise_cube.out
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*
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* \sa square(), pow()
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*/
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template<typename ExpressionType>
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inline const EIGEN_CWISE_UNOP_RETURN_TYPE(ei_scalar_cube_op)
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Cwise<ExpressionType>::cube() const
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{
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return _expression();
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}
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// -- binary operators --
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/** \array_module
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*
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* \returns an expression of the coefficient-wise \< operator of *this and \a other
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*
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* Example: \include Cwise_less.cpp
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* Output: \verbinclude Cwise_less.out
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*
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* \sa MatrixBase::all(), MatrixBase::any(), operator>(), operator<=()
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*/
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template<typename ExpressionType>
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template<typename OtherDerived>
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inline const EIGEN_CWISE_BINOP_RETURN_TYPE(std::less)
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Cwise<ExpressionType>::operator<(const MatrixBase<OtherDerived> &other) const
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{
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return EIGEN_CWISE_BINOP_RETURN_TYPE(std::less)(_expression(), other.derived());
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}
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/** \array_module
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*
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* \returns an expression of the coefficient-wise \<= operator of *this and \a other
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*
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* Example: \include Cwise_less_equal.cpp
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* Output: \verbinclude Cwise_less_equal.out
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*
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* \sa MatrixBase::all(), MatrixBase::any(), operator>=(), operator<()
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*/
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template<typename ExpressionType>
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template<typename OtherDerived>
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inline const EIGEN_CWISE_BINOP_RETURN_TYPE(std::less_equal)
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Cwise<ExpressionType>::operator<=(const MatrixBase<OtherDerived> &other) const
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{
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return EIGEN_CWISE_BINOP_RETURN_TYPE(std::less_equal)(_expression(), other.derived());
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}
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/** \array_module
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*
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* \returns an expression of the coefficient-wise \> operator of *this and \a other
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*
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* Example: \include Cwise_greater.cpp
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* Output: \verbinclude Cwise_greater.out
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*
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* \sa MatrixBase::all(), MatrixBase::any(), operator>=(), operator<()
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*/
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template<typename ExpressionType>
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template<typename OtherDerived>
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inline const EIGEN_CWISE_BINOP_RETURN_TYPE(std::greater)
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Cwise<ExpressionType>::operator>(const MatrixBase<OtherDerived> &other) const
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{
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return EIGEN_CWISE_BINOP_RETURN_TYPE(std::greater)(_expression(), other.derived());
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}
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/** \array_module
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*
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* \returns an expression of the coefficient-wise \>= operator of *this and \a other
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*
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* Example: \include Cwise_greater_equal.cpp
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* Output: \verbinclude Cwise_greater_equal.out
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*
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* \sa MatrixBase::all(), MatrixBase::any(), operator>(), operator<=()
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*/
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template<typename ExpressionType>
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template<typename OtherDerived>
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inline const EIGEN_CWISE_BINOP_RETURN_TYPE(std::greater_equal)
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Cwise<ExpressionType>::operator>=(const MatrixBase<OtherDerived> &other) const
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{
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return EIGEN_CWISE_BINOP_RETURN_TYPE(std::greater_equal)(_expression(), other.derived());
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}
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/** \array_module
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*
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* \returns an expression of the coefficient-wise == operator of *this and \a other
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*
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* \warning this performs an exact comparison, which is generally a bad idea with floating-point types.
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* In order to check for equality between two vectors or matrices with floating-point coefficients, it is
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* generally a far better idea to use a fuzzy comparison as provided by MatrixBase::isApprox() and
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* MatrixBase::isMuchSmallerThan().
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*
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* Example: \include Cwise_equal_equal.cpp
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* Output: \verbinclude Cwise_equal_equal.out
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*
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* \sa MatrixBase::all(), MatrixBase::any(), MatrixBase::isApprox(), MatrixBase::isMuchSmallerThan()
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*/
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template<typename ExpressionType>
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template<typename OtherDerived>
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inline const EIGEN_CWISE_BINOP_RETURN_TYPE(std::equal_to)
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Cwise<ExpressionType>::operator==(const MatrixBase<OtherDerived> &other) const
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{
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return EIGEN_CWISE_BINOP_RETURN_TYPE(std::equal_to)(_expression(), other.derived());
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}
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/** \array_module
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*
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* \returns an expression of the coefficient-wise != operator of *this and \a other
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*
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* \warning this performs an exact comparison, which is generally a bad idea with floating-point types.
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* In order to check for equality between two vectors or matrices with floating-point coefficients, it is
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* generally a far better idea to use a fuzzy comparison as provided by MatrixBase::isApprox() and
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* MatrixBase::isMuchSmallerThan().
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*
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* Example: \include Cwise_not_equal.cpp
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* Output: \verbinclude Cwise_not_equal.out
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*
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* \sa MatrixBase::all(), MatrixBase::any(), MatrixBase::isApprox(), MatrixBase::isMuchSmallerThan()
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*/
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template<typename ExpressionType>
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template<typename OtherDerived>
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inline const EIGEN_CWISE_BINOP_RETURN_TYPE(std::not_equal_to)
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Cwise<ExpressionType>::operator!=(const MatrixBase<OtherDerived> &other) const
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{
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return EIGEN_CWISE_BINOP_RETURN_TYPE(std::not_equal_to)(_expression(), other.derived());
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}
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// comparisons to scalar value
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/** \array_module
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*
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* \returns an expression of the coefficient-wise \< operator of *this and a scalar \a s
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*
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* \sa operator<(const MatrixBase<OtherDerived> &) const
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*/
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template<typename ExpressionType>
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inline const EIGEN_CWISE_COMP_TO_SCALAR_RETURN_TYPE(std::less)
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Cwise<ExpressionType>::operator<(Scalar s) const
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{
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return EIGEN_CWISE_COMP_TO_SCALAR_RETURN_TYPE(std::less)(_expression(),
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typename ExpressionType::ConstantReturnType(_expression().rows(), _expression().cols(), s));
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}
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/** \array_module
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*
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* \returns an expression of the coefficient-wise \<= operator of *this and a scalar \a s
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*
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* \sa operator<=(const MatrixBase<OtherDerived> &) const
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*/
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template<typename ExpressionType>
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inline const EIGEN_CWISE_COMP_TO_SCALAR_RETURN_TYPE(std::less_equal)
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Cwise<ExpressionType>::operator<=(Scalar s) const
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{
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return EIGEN_CWISE_COMP_TO_SCALAR_RETURN_TYPE(std::less_equal)(_expression(),
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typename ExpressionType::ConstantReturnType(_expression().rows(), _expression().cols(), s));
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}
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/** \array_module
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*
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* \returns an expression of the coefficient-wise \> operator of *this and a scalar \a s
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*
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* \sa operator>(const MatrixBase<OtherDerived> &) const
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*/
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template<typename ExpressionType>
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inline const EIGEN_CWISE_COMP_TO_SCALAR_RETURN_TYPE(std::greater)
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Cwise<ExpressionType>::operator>(Scalar s) const
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{
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return EIGEN_CWISE_COMP_TO_SCALAR_RETURN_TYPE(std::greater)(_expression(),
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typename ExpressionType::ConstantReturnType(_expression().rows(), _expression().cols(), s));
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}
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/** \array_module
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*
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* \returns an expression of the coefficient-wise \>= operator of *this and a scalar \a s
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*
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* \sa operator>=(const MatrixBase<OtherDerived> &) const
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*/
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template<typename ExpressionType>
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inline const EIGEN_CWISE_COMP_TO_SCALAR_RETURN_TYPE(std::greater_equal)
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Cwise<ExpressionType>::operator>=(Scalar s) const
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{
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return EIGEN_CWISE_COMP_TO_SCALAR_RETURN_TYPE(std::greater_equal)(_expression(),
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typename ExpressionType::ConstantReturnType(_expression().rows(), _expression().cols(), s));
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}
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/** \array_module
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*
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* \returns an expression of the coefficient-wise == operator of *this and a scalar \a s
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*
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* \warning this performs an exact comparison, which is generally a bad idea with floating-point types.
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* In order to check for equality between two vectors or matrices with floating-point coefficients, it is
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* generally a far better idea to use a fuzzy comparison as provided by MatrixBase::isApprox() and
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* MatrixBase::isMuchSmallerThan().
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*
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* \sa operator==(const MatrixBase<OtherDerived> &) const
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*/
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template<typename ExpressionType>
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inline const EIGEN_CWISE_COMP_TO_SCALAR_RETURN_TYPE(std::equal_to)
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Cwise<ExpressionType>::operator==(Scalar s) const
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{
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return EIGEN_CWISE_COMP_TO_SCALAR_RETURN_TYPE(std::equal_to)(_expression(),
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typename ExpressionType::ConstantReturnType(_expression().rows(), _expression().cols(), s));
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}
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/** \array_module
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*
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* \returns an expression of the coefficient-wise != operator of *this and a scalar \a s
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*
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* \warning this performs an exact comparison, which is generally a bad idea with floating-point types.
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* In order to check for equality between two vectors or matrices with floating-point coefficients, it is
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* generally a far better idea to use a fuzzy comparison as provided by MatrixBase::isApprox() and
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* MatrixBase::isMuchSmallerThan().
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*
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* \sa operator!=(const MatrixBase<OtherDerived> &) const
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*/
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template<typename ExpressionType>
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inline const EIGEN_CWISE_COMP_TO_SCALAR_RETURN_TYPE(std::not_equal_to)
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Cwise<ExpressionType>::operator!=(Scalar s) const
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{
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return EIGEN_CWISE_COMP_TO_SCALAR_RETURN_TYPE(std::not_equal_to)(_expression(),
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typename ExpressionType::ConstantReturnType(_expression().rows(), _expression().cols(), s));
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}
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// scalar addition
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/** \array_module
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*
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* \returns an expression of \c *this with each coeff incremented by the constant \a scalar
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*
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* Example: \include Cwise_plus.cpp
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* Output: \verbinclude Cwise_plus.out
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*
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* \sa operator+=(), operator-()
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*/
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template<typename ExpressionType>
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inline const typename Cwise<ExpressionType>::ScalarAddReturnType
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Cwise<ExpressionType>::operator+(const Scalar& scalar) const
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{
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return typename Cwise<ExpressionType>::ScalarAddReturnType(m_matrix, ei_scalar_add_op<Scalar>(scalar));
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}
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/** \array_module
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*
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* Adds the given \a scalar to each coeff of this expression.
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*
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* Example: \include Cwise_plus_equal.cpp
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* Output: \verbinclude Cwise_plus_equal.out
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*
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* \sa operator+(), operator-=()
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*/
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template<typename ExpressionType>
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inline ExpressionType& Cwise<ExpressionType>::operator+=(const Scalar& scalar)
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{
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return m_matrix.const_cast_derived() = *this + scalar;
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}
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/** \array_module
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*
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* \returns an expression of \c *this with each coeff decremented by the constant \a scalar
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*
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* Example: \include Cwise_minus.cpp
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* Output: \verbinclude Cwise_minus.out
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*
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* \sa operator+(), operator-=()
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*/
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template<typename ExpressionType>
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inline const typename Cwise<ExpressionType>::ScalarAddReturnType
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Cwise<ExpressionType>::operator-(const Scalar& scalar) const
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{
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return *this + (-scalar);
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}
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/** \array_module
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*
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* Substracts the given \a scalar from each coeff of this expression.
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*
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* Example: \include Cwise_minus_equal.cpp
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* Output: \verbinclude Cwise_minus_equal.out
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*
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* \sa operator+=(), operator-()
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*/
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template<typename ExpressionType>
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inline ExpressionType& Cwise<ExpressionType>::operator-=(const Scalar& scalar)
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{
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return m_matrix.const_cast_derived() = *this - scalar;
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}
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#endif // EIGEN_ARRAY_CWISE_OPERATORS_H
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