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