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Diffstat (limited to 'src/EigenUnsupported/src/SpecialFunctions/BesselFunctionsArrayAPI.h')
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diff --git a/src/EigenUnsupported/src/SpecialFunctions/BesselFunctionsArrayAPI.h b/src/EigenUnsupported/src/SpecialFunctions/BesselFunctionsArrayAPI.h new file mode 100644 index 0000000..41d2bf6 --- /dev/null +++ b/src/EigenUnsupported/src/SpecialFunctions/BesselFunctionsArrayAPI.h @@ -0,0 +1,286 @@ +// 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_BESSELFUNCTIONS_ARRAYAPI_H +#define EIGEN_BESSELFUNCTIONS_ARRAYAPI_H + +namespace Eigen { + +/** \returns an expression of the coefficient-wise i0(\a x) to the given + * arrays. + * + * It returns the modified Bessel function of the first kind 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 i0(T) for + * any scalar type T to be supported. + * + * \sa ArrayBase::bessel_i0() + */ +template <typename Derived> +EIGEN_STRONG_INLINE const Eigen::CwiseUnaryOp< + Eigen::internal::scalar_bessel_i0_op<typename Derived::Scalar>, const Derived> +bessel_i0(const Eigen::ArrayBase<Derived>& x) { + return Eigen::CwiseUnaryOp< + Eigen::internal::scalar_bessel_i0_op<typename Derived::Scalar>, + const Derived>(x.derived()); +} + +/** \returns an expression of the coefficient-wise i0e(\a x) to the given + * arrays. + * + * It returns the exponentially scaled modified Bessel + * function of the first kind 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::bessel_i0e() + */ +template <typename Derived> +EIGEN_STRONG_INLINE const Eigen::CwiseUnaryOp< + Eigen::internal::scalar_bessel_i0e_op<typename Derived::Scalar>, const Derived> +bessel_i0e(const Eigen::ArrayBase<Derived>& x) { + return Eigen::CwiseUnaryOp< + Eigen::internal::scalar_bessel_i0e_op<typename Derived::Scalar>, + const Derived>(x.derived()); +} + +/** \returns an expression of the coefficient-wise i1(\a x) to the given + * arrays. + * + * It returns the modified Bessel function of the first kind 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 i1(T) for + * any scalar type T to be supported. + * + * \sa ArrayBase::bessel_i1() + */ +template <typename Derived> +EIGEN_STRONG_INLINE const Eigen::CwiseUnaryOp< + Eigen::internal::scalar_bessel_i1_op<typename Derived::Scalar>, const Derived> +bessel_i1(const Eigen::ArrayBase<Derived>& x) { + return Eigen::CwiseUnaryOp< + Eigen::internal::scalar_bessel_i1_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 the first kind 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::bessel_i1e() + */ +template <typename Derived> +EIGEN_STRONG_INLINE const Eigen::CwiseUnaryOp< + Eigen::internal::scalar_bessel_i1e_op<typename Derived::Scalar>, const Derived> +bessel_i1e(const Eigen::ArrayBase<Derived>& x) { + return Eigen::CwiseUnaryOp< + Eigen::internal::scalar_bessel_i1e_op<typename Derived::Scalar>, + const Derived>(x.derived()); +} + +/** \returns an expression of the coefficient-wise k0(\a x) to the given + * arrays. + * + * It returns the modified Bessel function of the second kind 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 k0(T) for + * any scalar type T to be supported. + * + * \sa ArrayBase::bessel_k0() + */ +template <typename Derived> +EIGEN_STRONG_INLINE const Eigen::CwiseUnaryOp< + Eigen::internal::scalar_bessel_k0_op<typename Derived::Scalar>, const Derived> +bessel_k0(const Eigen::ArrayBase<Derived>& x) { + return Eigen::CwiseUnaryOp< + Eigen::internal::scalar_bessel_k0_op<typename Derived::Scalar>, + const Derived>(x.derived()); +} + +/** \returns an expression of the coefficient-wise k0e(\a x) to the given + * arrays. + * + * It returns the exponentially scaled modified Bessel + * function of the second kind 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 k0e(T) for + * any scalar type T to be supported. + * + * \sa ArrayBase::bessel_k0e() + */ +template <typename Derived> +EIGEN_STRONG_INLINE const Eigen::CwiseUnaryOp< + Eigen::internal::scalar_bessel_k0e_op<typename Derived::Scalar>, const Derived> +bessel_k0e(const Eigen::ArrayBase<Derived>& x) { + return Eigen::CwiseUnaryOp< + Eigen::internal::scalar_bessel_k0e_op<typename Derived::Scalar>, + const Derived>(x.derived()); +} + +/** \returns an expression of the coefficient-wise k1(\a x) to the given + * arrays. + * + * It returns the modified Bessel function of the second kind 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 k1(T) for + * any scalar type T to be supported. + * + * \sa ArrayBase::bessel_k1() + */ +template <typename Derived> +EIGEN_STRONG_INLINE const Eigen::CwiseUnaryOp< + Eigen::internal::scalar_bessel_k1_op<typename Derived::Scalar>, const Derived> +bessel_k1(const Eigen::ArrayBase<Derived>& x) { + return Eigen::CwiseUnaryOp< + Eigen::internal::scalar_bessel_k1_op<typename Derived::Scalar>, + const Derived>(x.derived()); +} + +/** \returns an expression of the coefficient-wise k1e(\a x) to the given + * arrays. + * + * It returns the exponentially scaled modified Bessel + * function of the second kind 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 k1e(T) for + * any scalar type T to be supported. + * + * \sa ArrayBase::bessel_k1e() + */ +template <typename Derived> +EIGEN_STRONG_INLINE const Eigen::CwiseUnaryOp< + Eigen::internal::scalar_bessel_k1e_op<typename Derived::Scalar>, const Derived> +bessel_k1e(const Eigen::ArrayBase<Derived>& x) { + return Eigen::CwiseUnaryOp< + Eigen::internal::scalar_bessel_k1e_op<typename Derived::Scalar>, + const Derived>(x.derived()); +} + +/** \returns an expression of the coefficient-wise j0(\a x) to the given + * arrays. + * + * It returns the Bessel function of the first kind 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 j0(T) for + * any scalar type T to be supported. + * + * \sa ArrayBase::bessel_j0() + */ +template <typename Derived> +EIGEN_STRONG_INLINE const Eigen::CwiseUnaryOp< + Eigen::internal::scalar_bessel_j0_op<typename Derived::Scalar>, const Derived> +bessel_j0(const Eigen::ArrayBase<Derived>& x) { + return Eigen::CwiseUnaryOp< + Eigen::internal::scalar_bessel_j0_op<typename Derived::Scalar>, + const Derived>(x.derived()); +} + +/** \returns an expression of the coefficient-wise y0(\a x) to the given + * arrays. + * + * It returns the Bessel function of the second kind 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 y0(T) for + * any scalar type T to be supported. + * + * \sa ArrayBase::bessel_y0() + */ +template <typename Derived> +EIGEN_STRONG_INLINE const Eigen::CwiseUnaryOp< + Eigen::internal::scalar_bessel_y0_op<typename Derived::Scalar>, const Derived> +bessel_y0(const Eigen::ArrayBase<Derived>& x) { + return Eigen::CwiseUnaryOp< + Eigen::internal::scalar_bessel_y0_op<typename Derived::Scalar>, + const Derived>(x.derived()); +} + +/** \returns an expression of the coefficient-wise j1(\a x) to the given + * arrays. + * + * It returns the modified Bessel function of the first kind 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 j1(T) for + * any scalar type T to be supported. + * + * \sa ArrayBase::bessel_j1() + */ +template <typename Derived> +EIGEN_STRONG_INLINE const Eigen::CwiseUnaryOp< + Eigen::internal::scalar_bessel_j1_op<typename Derived::Scalar>, const Derived> +bessel_j1(const Eigen::ArrayBase<Derived>& x) { + return Eigen::CwiseUnaryOp< + Eigen::internal::scalar_bessel_j1_op<typename Derived::Scalar>, + const Derived>(x.derived()); +} + +/** \returns an expression of the coefficient-wise y1(\a x) to the given + * arrays. + * + * It returns the Bessel function of the second kind 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 y1(T) for + * any scalar type T to be supported. + * + * \sa ArrayBase::bessel_y1() + */ +template <typename Derived> +EIGEN_STRONG_INLINE const Eigen::CwiseUnaryOp< + Eigen::internal::scalar_bessel_y1_op<typename Derived::Scalar>, const Derived> +bessel_y1(const Eigen::ArrayBase<Derived>& x) { + return Eigen::CwiseUnaryOp< + Eigen::internal::scalar_bessel_y1_op<typename Derived::Scalar>, + const Derived>(x.derived()); +} + +} // end namespace Eigen + +#endif // EIGEN_BESSELFUNCTIONS_ARRAYAPI_H |