Eigen/src/Array/CwiseOperators.h

// This file is part of Eigen, a lightweight C++ template library
// for linear algebra. Eigen itself is part of the KDE project.
//
// Copyright (C) 2008 Gael Guennebaud <g.gael@free.fr>
//
// Eigen is free software; you can redistribute it and/or
// modify it under the terms of the GNU Lesser General Public
// License as published by the Free Software Foundation; either
// version 3 of the License, or (at your option) any later version.
//
// Alternatively, you can redistribute it and/or
// modify it under the terms of the GNU General Public License as
// published by the Free Software Foundation; either version 2 of
// the License, or (at your option) any later version.
//
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// WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
// FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License or the
// GNU General Public License for more details.
//
// You should have received a copy of the GNU Lesser General Public
// License and a copy of the GNU General Public License along with
// Eigen. If not, see <http://www.gnu.org/licenses/>.

#ifndef EIGEN_ARRAY_CWISE_OPERATORS_H
#define EIGEN_ARRAY_CWISE_OPERATORS_H

// -- unary operators --

/** \array_module
  * 
  * \returns an expression of the coefficient-wise square root of *this.
  *
  * Example: \include Cwise_sqrt.cpp
  * Output: \verbinclude Cwise_sqrt.out
  *
  * \sa pow(), square()
  */
template<typename ExpressionType>
inline const EIGEN_CWISE_UNOP_RETURN_TYPE(ei_scalar_sqrt_op)
Cwise<ExpressionType>::sqrt() const
{
  return _expression();
}

/** \array_module
  * 
  * \returns an expression of the coefficient-wise exponential of *this.
  *
  * Example: \include Cwise_exp.cpp
  * Output: \verbinclude Cwise_exp.out
  *
  * \sa pow(), log(), sin(), cos()
  */
template<typename ExpressionType>
inline const EIGEN_CWISE_UNOP_RETURN_TYPE(ei_scalar_exp_op)
Cwise<ExpressionType>::exp() const
{
  return _expression();
}

/** \array_module
  * 
  * \returns an expression of the coefficient-wise logarithm of *this.
  *
  * Example: \include Cwise_log.cpp
  * Output: \verbinclude Cwise_log.out
  *
  * \sa exp()
  */
template<typename ExpressionType>
inline const EIGEN_CWISE_UNOP_RETURN_TYPE(ei_scalar_log_op)
Cwise<ExpressionType>::log() const
{
  return _expression();
}

/** \array_module
  * 
  * \returns an expression of the coefficient-wise cosine of *this.
  *
  * Example: \include Cwise_cos.cpp
  * Output: \verbinclude Cwise_cos.out
  *
  * \sa sin(), exp()
  */
template<typename ExpressionType>
inline const EIGEN_CWISE_UNOP_RETURN_TYPE(ei_scalar_cos_op)
Cwise<ExpressionType>::cos() const
{
  return _expression();
}


/** \array_module
  * 
  * \returns an expression of the coefficient-wise sine of *this.
  *
  * Example: \include Cwise_sin.cpp
  * Output: \verbinclude Cwise_sin.out
  *
  * \sa cos(), exp()
  */
template<typename ExpressionType>
inline const EIGEN_CWISE_UNOP_RETURN_TYPE(ei_scalar_sin_op)
Cwise<ExpressionType>::sin() const
{
  return _expression();
}


/** \array_module
  * 
  * \returns an expression of the coefficient-wise power of *this to the given exponent.
  *
  * Example: \include Cwise_pow.cpp
  * Output: \verbinclude Cwise_pow.out
  *
  * \sa exp(), log()
  */
template<typename ExpressionType>
inline const EIGEN_CWISE_UNOP_RETURN_TYPE(ei_scalar_pow_op)
Cwise<ExpressionType>::pow(const Scalar& exponent) const
{
  return EIGEN_CWISE_UNOP_RETURN_TYPE(ei_scalar_pow_op)(_expression(), ei_scalar_pow_op<Scalar>(exponent));
}


/** \array_module
  * 
  * \returns an expression of the coefficient-wise inverse of *this.
  *
  * Example: \include Cwise_inverse.cpp
  * Output: \verbinclude Cwise_inverse.out
  *
  * \sa operator/(), operator*()
  */
template<typename ExpressionType>
inline const EIGEN_CWISE_UNOP_RETURN_TYPE(ei_scalar_inverse_op)
Cwise<ExpressionType>::inverse() const
{
  return _expression();
}

/** \array_module
  *
  * \returns an expression of the coefficient-wise square of *this.
  *
  * Example: \include Cwise_square.cpp
  * Output: \verbinclude Cwise_square.out
  *
  * \sa operator/(), operator*(), abs2()
  */
template<typename ExpressionType>
inline const EIGEN_CWISE_UNOP_RETURN_TYPE(ei_scalar_square_op)
Cwise<ExpressionType>::square() const
{
  return _expression();
}

/** \array_module
  *
  * \returns an expression of the coefficient-wise cube of *this.
  *
  * Example: \include Cwise_cube.cpp
  * Output: \verbinclude Cwise_cube.out
  *
  * \sa square(), pow()
  */
template<typename ExpressionType>
inline const EIGEN_CWISE_UNOP_RETURN_TYPE(ei_scalar_cube_op)
Cwise<ExpressionType>::cube() const
{
  return _expression();
}


// -- binary operators --

/** \array_module
  * 
  * \returns an expression of the coefficient-wise \< operator of *this and \a other
  *
  * Example: \include Cwise_less.cpp
  * Output: \verbinclude Cwise_less.out
  *
  * \sa MatrixBase::all(), MatrixBase::any(), operator>(), operator<=()
  */
template<typename ExpressionType>
template<typename OtherDerived>
inline const EIGEN_CWISE_BINOP_RETURN_TYPE(std::less)
Cwise<ExpressionType>::operator<(const MatrixBase<OtherDerived> &other) const
{
  return EIGEN_CWISE_BINOP_RETURN_TYPE(std::less)(_expression(), other.derived());
}

/** \array_module
  * 
  * \returns an expression of the coefficient-wise \<= operator of *this and \a other
  *
  * Example: \include Cwise_less_equal.cpp
  * Output: \verbinclude Cwise_less_equal.out
  *
  * \sa MatrixBase::all(), MatrixBase::any(), operator>=(), operator<()
  */
template<typename ExpressionType>
template<typename OtherDerived>
inline const EIGEN_CWISE_BINOP_RETURN_TYPE(std::less_equal)
Cwise<ExpressionType>::operator<=(const MatrixBase<OtherDerived> &other) const
{
  return EIGEN_CWISE_BINOP_RETURN_TYPE(std::less_equal)(_expression(), other.derived());
}

/** \array_module
  * 
  * \returns an expression of the coefficient-wise \> operator of *this and \a other
  *
  * Example: \include Cwise_greater.cpp
  * Output: \verbinclude Cwise_greater.out
  *
  * \sa MatrixBase::all(), MatrixBase::any(), operator>=(), operator<()
  */
template<typename ExpressionType>
template<typename OtherDerived>
inline const EIGEN_CWISE_BINOP_RETURN_TYPE(std::greater)
Cwise<ExpressionType>::operator>(const MatrixBase<OtherDerived> &other) const
{
  return EIGEN_CWISE_BINOP_RETURN_TYPE(std::greater)(_expression(), other.derived());
}

/** \array_module
  * 
  * \returns an expression of the coefficient-wise \>= operator of *this and \a other
  *
  * Example: \include Cwise_greater_equal.cpp
  * Output: \verbinclude Cwise_greater_equal.out
  *
  * \sa MatrixBase::all(), MatrixBase::any(), operator>(), operator<=()
  */
template<typename ExpressionType>
template<typename OtherDerived>
inline const EIGEN_CWISE_BINOP_RETURN_TYPE(std::greater_equal)
Cwise<ExpressionType>::operator>=(const MatrixBase<OtherDerived> &other) const
{
  return EIGEN_CWISE_BINOP_RETURN_TYPE(std::greater_equal)(_expression(), other.derived());
}

/** \array_module
  * 
  * \returns an expression of the coefficient-wise == operator of *this and \a other
  *
  * \warning this performs an exact comparison, which is generally a bad idea with floating-point types.
  * In order to check for equality between two vectors or matrices with floating-point coefficients, it is
  * generally a far better idea to use a fuzzy comparison as provided by MatrixBase::isApprox() and
  * MatrixBase::isMuchSmallerThan().
  *
  * Example: \include Cwise_equal_equal.cpp
  * Output: \verbinclude Cwise_equal_equal.out
  *
  * \sa MatrixBase::all(), MatrixBase::any(), MatrixBase::isApprox(), MatrixBase::isMuchSmallerThan()
  */
template<typename ExpressionType>
template<typename OtherDerived>
inline const EIGEN_CWISE_BINOP_RETURN_TYPE(std::equal_to)
Cwise<ExpressionType>::operator==(const MatrixBase<OtherDerived> &other) const
{
  return EIGEN_CWISE_BINOP_RETURN_TYPE(std::equal_to)(_expression(), other.derived());
}

/** \array_module
  * 
  * \returns an expression of the coefficient-wise != operator of *this and \a other
  *
  * \warning this performs an exact comparison, which is generally a bad idea with floating-point types.
  * In order to check for equality between two vectors or matrices with floating-point coefficients, it is
  * generally a far better idea to use a fuzzy comparison as provided by MatrixBase::isApprox() and
  * MatrixBase::isMuchSmallerThan().
  *
  * Example: \include Cwise_not_equal.cpp
  * Output: \verbinclude Cwise_not_equal.out
  *
  * \sa MatrixBase::all(), MatrixBase::any(), MatrixBase::isApprox(), MatrixBase::isMuchSmallerThan()
  */
template<typename ExpressionType>
template<typename OtherDerived>
inline const EIGEN_CWISE_BINOP_RETURN_TYPE(std::not_equal_to)
Cwise<ExpressionType>::operator!=(const MatrixBase<OtherDerived> &other) const
{
  return EIGEN_CWISE_BINOP_RETURN_TYPE(std::not_equal_to)(_expression(), other.derived());
}

// comparisons to scalar value

/** \array_module
  * 
  * \returns an expression of the coefficient-wise \< operator of *this and a scalar \a s
  *
  * \sa operator<(const MatrixBase<OtherDerived> &) const
  */
template<typename ExpressionType>
inline const EIGEN_CWISE_COMP_TO_SCALAR_RETURN_TYPE(std::less)
Cwise<ExpressionType>::operator<(Scalar s) const
{
  return EIGEN_CWISE_COMP_TO_SCALAR_RETURN_TYPE(std::less)(_expression(),
            typename ExpressionType::ConstantReturnType(_expression().rows(), _expression().cols(), s));
}

/** \array_module
  * 
  * \returns an expression of the coefficient-wise \<= operator of *this and a scalar \a s
  *
  * \sa operator<=(const MatrixBase<OtherDerived> &) const
  */
template<typename ExpressionType>
inline const EIGEN_CWISE_COMP_TO_SCALAR_RETURN_TYPE(std::less_equal)
Cwise<ExpressionType>::operator<=(Scalar s) const
{
  return EIGEN_CWISE_COMP_TO_SCALAR_RETURN_TYPE(std::less_equal)(_expression(),
            typename ExpressionType::ConstantReturnType(_expression().rows(), _expression().cols(), s));
}

/** \array_module
  * 
  * \returns an expression of the coefficient-wise \> operator of *this and a scalar \a s
  *
  * \sa operator>(const MatrixBase<OtherDerived> &) const
  */
template<typename ExpressionType>
inline const EIGEN_CWISE_COMP_TO_SCALAR_RETURN_TYPE(std::greater)
Cwise<ExpressionType>::operator>(Scalar s) const
{
  return EIGEN_CWISE_COMP_TO_SCALAR_RETURN_TYPE(std::greater)(_expression(),
            typename ExpressionType::ConstantReturnType(_expression().rows(), _expression().cols(), s));
}

/** \array_module
  * 
  * \returns an expression of the coefficient-wise \>= operator of *this and a scalar \a s
  *
  * \sa operator>=(const MatrixBase<OtherDerived> &) const
  */
template<typename ExpressionType>
inline const EIGEN_CWISE_COMP_TO_SCALAR_RETURN_TYPE(std::greater_equal)
Cwise<ExpressionType>::operator>=(Scalar s) const
{
  return EIGEN_CWISE_COMP_TO_SCALAR_RETURN_TYPE(std::greater_equal)(_expression(),
            typename ExpressionType::ConstantReturnType(_expression().rows(), _expression().cols(), s));
}

/** \array_module
  * 
  * \returns an expression of the coefficient-wise == operator of *this and a scalar \a s
  *
  * \warning this performs an exact comparison, which is generally a bad idea with floating-point types.
  * In order to check for equality between two vectors or matrices with floating-point coefficients, it is
  * generally a far better idea to use a fuzzy comparison as provided by MatrixBase::isApprox() and
  * MatrixBase::isMuchSmallerThan().
  *
  * \sa operator==(const MatrixBase<OtherDerived> &) const
  */
template<typename ExpressionType>
inline const EIGEN_CWISE_COMP_TO_SCALAR_RETURN_TYPE(std::equal_to)
Cwise<ExpressionType>::operator==(Scalar s) const
{
  return EIGEN_CWISE_COMP_TO_SCALAR_RETURN_TYPE(std::equal_to)(_expression(),
            typename ExpressionType::ConstantReturnType(_expression().rows(), _expression().cols(), s));
}

/** \array_module
  * 
  * \returns an expression of the coefficient-wise != operator of *this and a scalar \a s
  *
  * \warning this performs an exact comparison, which is generally a bad idea with floating-point types.
  * In order to check for equality between two vectors or matrices with floating-point coefficients, it is
  * generally a far better idea to use a fuzzy comparison as provided by MatrixBase::isApprox() and
  * MatrixBase::isMuchSmallerThan().
  *
  * \sa operator!=(const MatrixBase<OtherDerived> &) const
  */
template<typename ExpressionType>
inline const EIGEN_CWISE_COMP_TO_SCALAR_RETURN_TYPE(std::not_equal_to)
Cwise<ExpressionType>::operator!=(Scalar s) const
{
  return EIGEN_CWISE_COMP_TO_SCALAR_RETURN_TYPE(std::not_equal_to)(_expression(),
            typename ExpressionType::ConstantReturnType(_expression().rows(), _expression().cols(), s));
}

// scalar addition

/** \array_module
  *
  * \returns an expression of \c *this with each coeff incremented by the constant \a scalar
  *
  * Example: \include Cwise_plus.cpp
  * Output: \verbinclude Cwise_plus.out
  *
  * \sa operator+=(), operator-()
  */
template<typename ExpressionType>
inline const typename Cwise<ExpressionType>::ScalarAddReturnType
Cwise<ExpressionType>::operator+(const Scalar& scalar) const
{
  return typename Cwise<ExpressionType>::ScalarAddReturnType(m_matrix, ei_scalar_add_op<Scalar>(scalar));
}

/** \array_module
  *
  * Adds the given \a scalar to each coeff of this expression.
  *
  * Example: \include Cwise_plus_equal.cpp
  * Output: \verbinclude Cwise_plus_equal.out
  *
  * \sa operator+(), operator-=()
  */
template<typename ExpressionType>
inline ExpressionType& Cwise<ExpressionType>::operator+=(const Scalar& scalar)
{
  return m_matrix.const_cast_derived() = *this + scalar;
}

/** \array_module
  *
  * \returns an expression of \c *this with each coeff decremented by the constant \a scalar
  *
  * Example: \include Cwise_minus.cpp
  * Output: \verbinclude Cwise_minus.out
  *
  * \sa operator+(), operator-=()
  */
template<typename ExpressionType>
inline const typename Cwise<ExpressionType>::ScalarAddReturnType
Cwise<ExpressionType>::operator-(const Scalar& scalar) const
{
  return *this + (-scalar);
}

/** \array_module
  *
  * Substracts the given \a scalar from each coeff of this expression.
  *
  * Example: \include Cwise_minus_equal.cpp
  * Output: \verbinclude Cwise_minus_equal.out
  *
  * \sa operator+=(), operator-()
  */

template<typename ExpressionType>
inline ExpressionType& Cwise<ExpressionType>::operator-=(const Scalar& scalar)
{
  return m_matrix.const_cast_derived() = *this - scalar;
}

#endif // EIGEN_ARRAY_CWISE_OPERATORS_H