eigen/Eigen/src/Core/CwiseUnaryOp.h
Benoit Jacob fb3438e609 - expand MathFunctions.h to provide more functions, like exp, log...
- add cwiseExp(), cwiseLog()...
   --> for example, doing a gamma-correction on a bitmap image stored as
       an array of floats is a simple matter of:
         Eigen::Map<VectorXf> m = VectorXf::map(bitmap,size);
         m = m.cwisePow(gamma);
- apidoc improvements, reorganization of the \name's
- remove obsolete examples
- remove EIGEN_ALWAYS_INLINE on lazyProduct(), it seems useless.
2008-03-14 10:38:37 +00:00

351 lines
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// 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>
// Copyright (C) 2006-2008 Benoit Jacob <jacob@math.jussieu.fr>
//
// Eigen is free software; you can redistribute it and/or
// modify it under the terms of the GNU Lesser General Public
// License as published by the Free Software Foundation; either
// version 3 of the License, or (at your option) any later version.
//
// Alternatively, you can redistribute it and/or
// modify it under the terms of the GNU General Public License as
// published by the Free Software Foundation; either version 2 of
// the License, or (at your option) any later version.
//
// Eigen is distributed in the hope that it will be useful, but WITHOUT ANY
// WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
// FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License or the
// GNU General Public License for more details.
//
// You should have received a copy of the GNU Lesser General Public
// License and a copy of the GNU General Public License along with
// Eigen. If not, see <http://www.gnu.org/licenses/>.
#ifndef EIGEN_CWISE_UNARY_OP_H
#define EIGEN_CWISE_UNARY_OP_H
/** \class CwiseUnaryOp
*
* \brief Generic expression of a coefficient-wise unary operator of a matrix or a vector
*
* \param UnaryOp template functor implementing the operator
* \param MatrixType the type of the matrix we are applying the unary operator
*
* This class represents an expression of a generic unary operator of a matrix or a vector.
* It is the return type of the unary operator-, of a matrix or a vector, and most
* of the time this is the only way it is used.
*
* \sa class CwiseBinaryOp
*/
template<typename UnaryOp, typename MatrixType>
struct ei_traits<CwiseUnaryOp<UnaryOp, MatrixType> >
{
typedef typename ei_result_of<
UnaryOp(typename MatrixType::Scalar)
>::type Scalar;
enum {
RowsAtCompileTime = MatrixType::RowsAtCompileTime,
ColsAtCompileTime = MatrixType::ColsAtCompileTime,
MaxRowsAtCompileTime = MatrixType::MaxRowsAtCompileTime,
MaxColsAtCompileTime = MatrixType::MaxColsAtCompileTime
};
};
template<typename UnaryOp, typename MatrixType>
class CwiseUnaryOp : ei_no_assignment_operator,
public MatrixBase<CwiseUnaryOp<UnaryOp, MatrixType> >
{
public:
EIGEN_GENERIC_PUBLIC_INTERFACE(CwiseUnaryOp)
CwiseUnaryOp(const MatrixType& mat, const UnaryOp& func = UnaryOp())
: m_matrix(mat), m_functor(func) {}
private:
int _rows() const { return m_matrix.rows(); }
int _cols() const { return m_matrix.cols(); }
Scalar _coeff(int row, int col) const
{
return m_functor(m_matrix.coeff(row, col));
}
protected:
const typename MatrixType::XprCopy m_matrix;
const UnaryOp m_functor;
};
/** \returns an expression of a custom coefficient-wise unary operator \a func of *this
*
* The template parameter \a CustomUnaryOp is the type of the functor
* of the custom unary operator.
*
* Here is an example:
* \include class_CwiseUnaryOp.cpp
*
* \sa class CwiseUnaryOp, class CwiseBinarOp, MatrixBase::operator-, MatrixBase::cwiseAbs
*/
template<typename Derived>
template<typename CustomUnaryOp>
const CwiseUnaryOp<CustomUnaryOp, Derived>
MatrixBase<Derived>::cwise(const CustomUnaryOp& func) const
{
return CwiseUnaryOp<CustomUnaryOp, Derived>(derived(), func);
}
/** \internal
* \brief Template functor to compute the opposite of a scalar
*
* \sa class CwiseUnaryOp, MatrixBase::operator-
*/
struct ei_scalar_opposite_op EIGEN_EMPTY_STRUCT {
template<typename Scalar> Scalar operator() (const Scalar& a) const { return -a; }
};
/** \returns an expression of the opposite of \c *this
*/
template<typename Derived>
const CwiseUnaryOp<ei_scalar_opposite_op,Derived>
MatrixBase<Derived>::operator-() const
{
return CwiseUnaryOp<ei_scalar_opposite_op, Derived>(derived());
}
/** \internal
* \brief Template functor to compute the absolute value of a scalar
*
* \sa class CwiseUnaryOp, MatrixBase::cwiseAbs
*/
struct ei_scalar_abs_op EIGEN_EMPTY_STRUCT {
template<typename Scalar> Scalar operator() (const Scalar& a) const { return ei_abs(a); }
};
/** \returns an expression of the coefficient-wise absolute value of \c *this
*/
template<typename Derived>
const CwiseUnaryOp<ei_scalar_abs_op,Derived>
MatrixBase<Derived>::cwiseAbs() const
{
return CwiseUnaryOp<ei_scalar_abs_op,Derived>(derived());
}
/** \internal
* \brief Template functor to compute the squared absolute value of a scalar
*
* \sa class CwiseUnaryOp, MatrixBase::cwiseAbs2
*/
struct ei_scalar_abs2_op EIGEN_EMPTY_STRUCT {
template<typename Scalar> Scalar operator() (const Scalar& a) const { return ei_abs2(a); }
};
/** \returns an expression of the coefficient-wise squared absolute value of \c *this
*/
template<typename Derived>
const CwiseUnaryOp<ei_scalar_abs2_op,Derived>
MatrixBase<Derived>::cwiseAbs2() const
{
return CwiseUnaryOp<ei_scalar_abs2_op,Derived>(derived());
}
/** \internal
* \brief Template functor to compute the conjugate of a complex value
*
* \sa class CwiseUnaryOp, MatrixBase::conjugate()
*/
struct ei_scalar_conjugate_op EIGEN_EMPTY_STRUCT {
template<typename Scalar> Scalar operator() (const Scalar& a) const { return ei_conj(a); }
};
/** \returns an expression of the complex conjugate of *this.
*
* \sa adjoint() */
template<typename Derived>
const CwiseUnaryOp<ei_scalar_conjugate_op, Derived>
MatrixBase<Derived>::conjugate() const
{
return CwiseUnaryOp<ei_scalar_conjugate_op, Derived>(derived());
}
/** \internal
* \brief Template functor to cast a scalar to another type
*
* \sa class CwiseUnaryOp, MatrixBase::cast()
*/
template<typename NewType>
struct ei_scalar_cast_op EIGEN_EMPTY_STRUCT {
typedef NewType result_type;
template<typename Scalar> NewType operator() (const Scalar& a) const { return static_cast<NewType>(a); }
};
/** \returns an expression of *this with the \a Scalar type casted to
* \a NewScalar.
*
* The template parameter \a NewScalar is the type we are casting the scalars to.
*
* \sa class CwiseUnaryOp
*/
template<typename Derived>
template<typename NewType>
const CwiseUnaryOp<ei_scalar_cast_op<NewType>, Derived>
MatrixBase<Derived>::cast() const
{
return CwiseUnaryOp<ei_scalar_cast_op<NewType>, Derived>(derived());
}
/** \internal
* \brief Template functor to multiply a scalar by a fixed other one
*
* \sa class CwiseUnaryOp, MatrixBase::operator*, MatrixBase::operator/
*/
template<typename Scalar>
struct ei_scalar_multiple_op {
ei_scalar_multiple_op(const Scalar& other) : m_other(other) {}
Scalar operator() (const Scalar& a) const { return a * m_other; }
const Scalar m_other;
};
/** \relates MatrixBase */
template<typename Derived>
const CwiseUnaryOp<ei_scalar_multiple_op<typename ei_traits<Derived>::Scalar>, Derived>
MatrixBase<Derived>::operator*(const Scalar& scalar) const
{
return CwiseUnaryOp<ei_scalar_multiple_op<Scalar>, Derived>
(derived(), ei_scalar_multiple_op<Scalar>(scalar));
}
/** \relates MatrixBase */
template<typename Derived>
const CwiseUnaryOp<ei_scalar_multiple_op<typename ei_traits<Derived>::Scalar>, Derived>
MatrixBase<Derived>::operator/(const Scalar& scalar) const
{
assert(NumTraits<Scalar>::HasFloatingPoint);
return CwiseUnaryOp<ei_scalar_multiple_op<Scalar>, Derived>
(derived(), ei_scalar_multiple_op<Scalar>(static_cast<Scalar>(1) / scalar));
}
template<typename Derived>
Derived&
MatrixBase<Derived>::operator*=(const Scalar& other)
{
return *this = *this * other;
}
template<typename Derived>
Derived&
MatrixBase<Derived>::operator/=(const Scalar& other)
{
return *this = *this / other;
}
/** \internal
* \brief Template functor to compute the square root of a scalar
*
* \sa class CwiseUnaryOp, MatrixBase::cwiseSqrt()
*/
struct ei_scalar_sqrt_op EIGEN_EMPTY_STRUCT {
template<typename Scalar> Scalar operator() (const Scalar& a) const { return ei_sqrt(a); }
};
/** \returns an expression of the coefficient-wise square root of *this. */
template<typename Derived>
const CwiseUnaryOp<ei_scalar_sqrt_op, Derived>
MatrixBase<Derived>::cwiseSqrt() const
{
return CwiseUnaryOp<ei_scalar_sqrt_op, Derived>(derived());
}
/** \internal
* \brief Template functor to compute the exponential of a scalar
*
* \sa class CwiseUnaryOp, MatrixBase::cwiseExp()
*/
struct ei_scalar_exp_op EIGEN_EMPTY_STRUCT {
template<typename Scalar> Scalar operator() (const Scalar& a) const { return ei_exp(a); }
};
/** \returns an expression of the coefficient-wise exponential of *this. */
template<typename Derived>
const CwiseUnaryOp<ei_scalar_exp_op, Derived>
MatrixBase<Derived>::cwiseExp() const
{
return CwiseUnaryOp<ei_scalar_exp_op, Derived>(derived());
}
/** \internal
* \brief Template functor to compute the logarithm of a scalar
*
* \sa class CwiseUnaryOp, MatrixBase::cwiseLog()
*/
struct ei_scalar_log_op EIGEN_EMPTY_STRUCT {
template<typename Scalar> Scalar operator() (const Scalar& a) const { return ei_log(a); }
};
/** \returns an expression of the coefficient-wise logarithm of *this. */
template<typename Derived>
const CwiseUnaryOp<ei_scalar_log_op, Derived>
MatrixBase<Derived>::cwiseLog() const
{
return CwiseUnaryOp<ei_scalar_log_op, Derived>(derived());
}
/** \internal
* \brief Template functor to compute the cosine of a scalar
*
* \sa class CwiseUnaryOp, MatrixBase::cwiseCos()
*/
struct ei_scalar_cos_op EIGEN_EMPTY_STRUCT {
template<typename Scalar> Scalar operator() (const Scalar& a) const { return ei_cos(a); }
};
/** \returns an expression of the coefficient-wise cosine of *this. */
template<typename Derived>
const CwiseUnaryOp<ei_scalar_cos_op, Derived>
MatrixBase<Derived>::cwiseCos() const
{
return CwiseUnaryOp<ei_scalar_cos_op, Derived>(derived());
}
/** \internal
* \brief Template functor to compute the sine of a scalar
*
* \sa class CwiseUnaryOp, MatrixBase::cwiseSin()
*/
struct ei_scalar_sin_op EIGEN_EMPTY_STRUCT {
template<typename Scalar> Scalar operator() (const Scalar& a) const { return ei_sin(a); }
};
/** \returns an expression of the coefficient-wise sine of *this. */
template<typename Derived>
const CwiseUnaryOp<ei_scalar_sin_op, Derived>
MatrixBase<Derived>::cwiseSin() const
{
return CwiseUnaryOp<ei_scalar_sin_op, Derived>(derived());
}
/** \internal
* \brief Template functor to raise a scalar to a power
*
* \sa class CwiseUnaryOp, MatrixBase::cwisePow
*/
template<typename Scalar>
struct ei_scalar_pow_op {
ei_scalar_pow_op(const Scalar& exponent) : m_exponent(exponent) {}
Scalar operator() (const Scalar& a) const { return ei_pow(a, m_exponent); }
const Scalar m_exponent;
};
/** \relates MatrixBase */
template<typename Derived>
const CwiseUnaryOp<ei_scalar_pow_op<typename ei_traits<Derived>::Scalar>, Derived>
MatrixBase<Derived>::cwisePow(const Scalar& exponent) const
{
return CwiseUnaryOp<ei_scalar_pow_op<Scalar>, Derived>
(derived(), ei_scalar_pow_op<Scalar>(exponent));
}
#endif // EIGEN_CWISE_UNARY_OP_H