| // 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 |
| |
| #include "./InternalHeaderCheck.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> |
| EIGEN_STRONG_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> |
| EIGEN_STRONG_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> |
| EIGEN_STRONG_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> |
| EIGEN_STRONG_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> |
| EIGEN_STRONG_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> |
| EIGEN_STRONG_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 exponent, 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> |
| EIGEN_STRONG_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() |
| ); |
| } |
| |
| |
| } // end namespace Eigen |
| |
| #endif // EIGEN_SPECIALFUNCTIONS_ARRAYAPI_H |