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// This file is part of Eigen, a lightweight C++ template library
// for linear algebra.
//
// Copyright (C) 2016 Gael Guennebaud <gael.guennebaud@inria.fr>
//
// This Source Code Form is subject to the terms of the Mozilla
// Public License v. 2.0. If a copy of the MPL was not distributed
// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
#ifndef EIGEN_SPECIALFUNCTIONS_ARRAYAPI_H
#define EIGEN_SPECIALFUNCTIONS_ARRAYAPI_H
namespace Eigen {
/** \cpp11 \returns an expression of the coefficient-wise igamma(\a a, \a x) to the given arrays.
*
* This function computes the coefficient-wise incomplete gamma function.
*
* \note This function supports only float and double scalar types in c++11 mode. To support other scalar types,
* or float/double in non c++11 mode, the user has to provide implementations of igammac(T,T) for any scalar
* type T to be supported.
*
* \sa Eigen::igammac(), Eigen::lgamma()
*/
template<typename Derived,typename ExponentDerived>
inline const Eigen::CwiseBinaryOp<Eigen::internal::scalar_igamma_op<typename Derived::Scalar>, const Derived, const ExponentDerived>
igamma(const Eigen::ArrayBase<Derived>& a, const Eigen::ArrayBase<ExponentDerived>& x)
{
return Eigen::CwiseBinaryOp<Eigen::internal::scalar_igamma_op<typename Derived::Scalar>, const Derived, const ExponentDerived>(
a.derived(),
x.derived()
);
}
/** \cpp11 \returns an expression of the coefficient-wise igamma_der_a(\a a, \a x) to the given arrays.
*
* This function computes the coefficient-wise derivative of the incomplete
* gamma function with respect to the parameter a.
*
* \note This function supports only float and double scalar types in c++11
* mode. To support other scalar types,
* or float/double in non c++11 mode, the user has to provide implementations
* of igamma_der_a(T,T) for any scalar
* type T to be supported.
*
* \sa Eigen::igamma(), Eigen::lgamma()
*/
template <typename Derived, typename ExponentDerived>
inline const Eigen::CwiseBinaryOp<Eigen::internal::scalar_igamma_der_a_op<typename Derived::Scalar>, const Derived, const ExponentDerived>
igamma_der_a(const Eigen::ArrayBase<Derived>& a, const Eigen::ArrayBase<ExponentDerived>& x) {
return Eigen::CwiseBinaryOp<Eigen::internal::scalar_igamma_der_a_op<typename Derived::Scalar>, const Derived, const ExponentDerived>(
a.derived(),
x.derived());
}
/** \cpp11 \returns an expression of the coefficient-wise gamma_sample_der_alpha(\a alpha, \a sample) to the given arrays.
*
* This function computes the coefficient-wise derivative of the sample
* of a Gamma(alpha, 1) random variable with respect to the parameter alpha.
*
* \note This function supports only float and double scalar types in c++11
* mode. To support other scalar types,
* or float/double in non c++11 mode, the user has to provide implementations
* of gamma_sample_der_alpha(T,T) for any scalar
* type T to be supported.
*
* \sa Eigen::igamma(), Eigen::lgamma()
*/
template <typename AlphaDerived, typename SampleDerived>
inline const Eigen::CwiseBinaryOp<Eigen::internal::scalar_gamma_sample_der_alpha_op<typename AlphaDerived::Scalar>, const AlphaDerived, const SampleDerived>
gamma_sample_der_alpha(const Eigen::ArrayBase<AlphaDerived>& alpha, const Eigen::ArrayBase<SampleDerived>& sample) {
return Eigen::CwiseBinaryOp<Eigen::internal::scalar_gamma_sample_der_alpha_op<typename AlphaDerived::Scalar>, const AlphaDerived, const SampleDerived>(
alpha.derived(),
sample.derived());
}
/** \cpp11 \returns an expression of the coefficient-wise igammac(\a a, \a x) to the given arrays.
*
* This function computes the coefficient-wise complementary incomplete gamma function.
*
* \note This function supports only float and double scalar types in c++11 mode. To support other scalar types,
* or float/double in non c++11 mode, the user has to provide implementations of igammac(T,T) for any scalar
* type T to be supported.
*
* \sa Eigen::igamma(), Eigen::lgamma()
*/
template<typename Derived,typename ExponentDerived>
inline const Eigen::CwiseBinaryOp<Eigen::internal::scalar_igammac_op<typename Derived::Scalar>, const Derived, const ExponentDerived>
igammac(const Eigen::ArrayBase<Derived>& a, const Eigen::ArrayBase<ExponentDerived>& x)
{
return Eigen::CwiseBinaryOp<Eigen::internal::scalar_igammac_op<typename Derived::Scalar>, const Derived, const ExponentDerived>(
a.derived(),
x.derived()
);
}
/** \cpp11 \returns an expression of the coefficient-wise polygamma(\a n, \a x) to the given arrays.
*
* It returns the \a n -th derivative of the digamma(psi) evaluated at \c x.
*
* \note This function supports only float and double scalar types in c++11 mode. To support other scalar types,
* or float/double in non c++11 mode, the user has to provide implementations of polygamma(T,T) for any scalar
* type T to be supported.
*
* \sa Eigen::digamma()
*/
// * \warning Be careful with the order of the parameters: x.polygamma(n) is equivalent to polygamma(n,x)
// * \sa ArrayBase::polygamma()
template<typename DerivedN,typename DerivedX>
inline const Eigen::CwiseBinaryOp<Eigen::internal::scalar_polygamma_op<typename DerivedX::Scalar>, const DerivedN, const DerivedX>
polygamma(const Eigen::ArrayBase<DerivedN>& n, const Eigen::ArrayBase<DerivedX>& x)
{
return Eigen::CwiseBinaryOp<Eigen::internal::scalar_polygamma_op<typename DerivedX::Scalar>, const DerivedN, const DerivedX>(
n.derived(),
x.derived()
);
}
/** \cpp11 \returns an expression of the coefficient-wise betainc(\a x, \a a, \a b) to the given arrays.
*
* This function computes the regularized incomplete beta function (integral).
*
* \note This function supports only float and double scalar types in c++11 mode. To support other scalar types,
* or float/double in non c++11 mode, the user has to provide implementations of betainc(T,T,T) for any scalar
* type T to be supported.
*
* \sa Eigen::betainc(), Eigen::lgamma()
*/
template<typename ArgADerived, typename ArgBDerived, typename ArgXDerived>
inline const Eigen::CwiseTernaryOp<Eigen::internal::scalar_betainc_op<typename ArgXDerived::Scalar>, const ArgADerived, const ArgBDerived, const ArgXDerived>
betainc(const Eigen::ArrayBase<ArgADerived>& a, const Eigen::ArrayBase<ArgBDerived>& b, const Eigen::ArrayBase<ArgXDerived>& x)
{
return Eigen::CwiseTernaryOp<Eigen::internal::scalar_betainc_op<typename ArgXDerived::Scalar>, const ArgADerived, const ArgBDerived, const ArgXDerived>(
a.derived(),
b.derived(),
x.derived()
);
}
/** \returns an expression of the coefficient-wise zeta(\a x, \a q) to the given arrays.
*
* It returns the Riemann zeta function of two arguments \a x and \a q:
*
* \param x is the exposent, it must be > 1
* \param q is the shift, it must be > 0
*
* \note This function supports only float and double scalar types. To support other scalar types, the user has
* to provide implementations of zeta(T,T) for any scalar type T to be supported.
*
* \sa ArrayBase::zeta()
*/
template<typename DerivedX,typename DerivedQ>
inline const Eigen::CwiseBinaryOp<Eigen::internal::scalar_zeta_op<typename DerivedX::Scalar>, const DerivedX, const DerivedQ>
zeta(const Eigen::ArrayBase<DerivedX>& x, const Eigen::ArrayBase<DerivedQ>& q)
{
return Eigen::CwiseBinaryOp<Eigen::internal::scalar_zeta_op<typename DerivedX::Scalar>, const DerivedX, const DerivedQ>(
x.derived(),
q.derived()
);
}
/** \returns an expression of the coefficient-wise i0e(\a x) to the given
* arrays.
*
* It returns the exponentially scaled modified Bessel
* function of order zero.
*
* \param x is the argument
*
* \note This function supports only float and double scalar types. To support
* other scalar types, the user has to provide implementations of i0e(T) for
* any scalar type T to be supported.
*
* \sa ArrayBase::i0e()
*/
template <typename Derived>
inline const Eigen::CwiseUnaryOp<
Eigen::internal::scalar_i0e_op<typename Derived::Scalar>, const Derived>
i0e(const Eigen::ArrayBase<Derived>& x) {
return Eigen::CwiseUnaryOp<
Eigen::internal::scalar_i0e_op<typename Derived::Scalar>,
const Derived>(x.derived());
}
/** \returns an expression of the coefficient-wise i1e(\a x) to the given
* arrays.
*
* It returns the exponentially scaled modified Bessel
* function of order one.
*
* \param x is the argument
*
* \note This function supports only float and double scalar types. To support
* other scalar types, the user has to provide implementations of i1e(T) for
* any scalar type T to be supported.
*
* \sa ArrayBase::i1e()
*/
template <typename Derived>
inline const Eigen::CwiseUnaryOp<
Eigen::internal::scalar_i1e_op<typename Derived::Scalar>, const Derived>
i1e(const Eigen::ArrayBase<Derived>& x) {
return Eigen::CwiseUnaryOp<
Eigen::internal::scalar_i1e_op<typename Derived::Scalar>,
const Derived>(x.derived());
}
} // end namespace Eigen
#endif // EIGEN_SPECIALFUNCTIONS_ARRAYAPI_H
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