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+// This file is part of Eigen, a lightweight C++ template library
+// for linear algebra.
+//
+// Copyright (C) 2016 Eugene Brevdo <ebrevdo@gmail.com>
+// 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_FUNCTORS_H
+#define EIGEN_BESSELFUNCTIONS_FUNCTORS_H
+
+namespace Eigen {
+
+namespace internal {
+
+/** \internal
+ * \brief Template functor to compute the modified Bessel function of the first
+ * kind of order zero.
+ * \sa class CwiseUnaryOp, Cwise::bessel_i0()
+ */
+template <typename Scalar>
+struct scalar_bessel_i0_op {
+ EIGEN_EMPTY_STRUCT_CTOR(scalar_bessel_i0_op)
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const Scalar operator()(const Scalar& x) const {
+ using numext::bessel_i0;
+ return bessel_i0(x);
+ }
+ typedef typename packet_traits<Scalar>::type Packet;
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Packet packetOp(const Packet& x) const {
+ return internal::pbessel_i0(x);
+ }
+};
+template <typename Scalar>
+struct functor_traits<scalar_bessel_i0_op<Scalar> > {
+ enum {
+ // On average, a Chebyshev polynomial of order N=20 is computed.
+ // The cost is N multiplications and 2N additions. We also add
+ // the cost of an additional exp over i0e.
+ Cost = 28 * NumTraits<Scalar>::MulCost + 48 * NumTraits<Scalar>::AddCost,
+ PacketAccess = packet_traits<Scalar>::HasBessel
+ };
+};
+
+/** \internal
+ * \brief Template functor to compute the exponentially scaled modified Bessel
+ * function of the first kind of order zero
+ * \sa class CwiseUnaryOp, Cwise::bessel_i0e()
+ */
+template <typename Scalar>
+struct scalar_bessel_i0e_op {
+ EIGEN_EMPTY_STRUCT_CTOR(scalar_bessel_i0e_op)
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const Scalar operator()(const Scalar& x) const {
+ using numext::bessel_i0e;
+ return bessel_i0e(x);
+ }
+ typedef typename packet_traits<Scalar>::type Packet;
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Packet packetOp(const Packet& x) const {
+ return internal::pbessel_i0e(x);
+ }
+};
+template <typename Scalar>
+struct functor_traits<scalar_bessel_i0e_op<Scalar> > {
+ enum {
+ // On average, a Chebyshev polynomial of order N=20 is computed.
+ // The cost is N multiplications and 2N additions.
+ Cost = 20 * NumTraits<Scalar>::MulCost + 40 * NumTraits<Scalar>::AddCost,
+ PacketAccess = packet_traits<Scalar>::HasBessel
+ };
+};
+
+/** \internal
+ * \brief Template functor to compute the modified Bessel function of the first
+ * kind of order one
+ * \sa class CwiseUnaryOp, Cwise::bessel_i1()
+ */
+template <typename Scalar>
+struct scalar_bessel_i1_op {
+ EIGEN_EMPTY_STRUCT_CTOR(scalar_bessel_i1_op)
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const Scalar operator()(const Scalar& x) const {
+ using numext::bessel_i1;
+ return bessel_i1(x);
+ }
+ typedef typename packet_traits<Scalar>::type Packet;
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Packet packetOp(const Packet& x) const {
+ return internal::pbessel_i1(x);
+ }
+};
+template <typename Scalar>
+struct functor_traits<scalar_bessel_i1_op<Scalar> > {
+ enum {
+ // On average, a Chebyshev polynomial of order N=20 is computed.
+ // The cost is N multiplications and 2N additions. We also add
+ // the cost of an additional exp over i1e.
+ Cost = 28 * NumTraits<Scalar>::MulCost + 48 * NumTraits<Scalar>::AddCost,
+ PacketAccess = packet_traits<Scalar>::HasBessel
+ };
+};
+
+/** \internal
+ * \brief Template functor to compute the exponentially scaled modified Bessel
+ * function of the first kind of order zero
+ * \sa class CwiseUnaryOp, Cwise::bessel_i1e()
+ */
+template <typename Scalar>
+struct scalar_bessel_i1e_op {
+ EIGEN_EMPTY_STRUCT_CTOR(scalar_bessel_i1e_op)
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const Scalar operator()(const Scalar& x) const {
+ using numext::bessel_i1e;
+ return bessel_i1e(x);
+ }
+ typedef typename packet_traits<Scalar>::type Packet;
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Packet packetOp(const Packet& x) const {
+ return internal::pbessel_i1e(x);
+ }
+};
+template <typename Scalar>
+struct functor_traits<scalar_bessel_i1e_op<Scalar> > {
+ enum {
+ // On average, a Chebyshev polynomial of order N=20 is computed.
+ // The cost is N multiplications and 2N additions.
+ Cost = 20 * NumTraits<Scalar>::MulCost + 40 * NumTraits<Scalar>::AddCost,
+ PacketAccess = packet_traits<Scalar>::HasBessel
+ };
+};
+
+/** \internal
+ * \brief Template functor to compute the Bessel function of the second kind of
+ * order zero
+ * \sa class CwiseUnaryOp, Cwise::bessel_j0()
+ */
+template <typename Scalar>
+struct scalar_bessel_j0_op {
+ EIGEN_EMPTY_STRUCT_CTOR(scalar_bessel_j0_op)
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const Scalar operator()(const Scalar& x) const {
+ using numext::bessel_j0;
+ return bessel_j0(x);
+ }
+ typedef typename packet_traits<Scalar>::type Packet;
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Packet packetOp(const Packet& x) const {
+ return internal::pbessel_j0(x);
+ }
+};
+template <typename Scalar>
+struct functor_traits<scalar_bessel_j0_op<Scalar> > {
+ enum {
+ // 6 polynomial of order ~N=8 is computed.
+ // The cost is N multiplications and N additions each, along with a
+ // sine, cosine and rsqrt cost.
+ Cost = 63 * NumTraits<Scalar>::MulCost + 48 * NumTraits<Scalar>::AddCost,
+ PacketAccess = packet_traits<Scalar>::HasBessel
+ };
+};
+
+/** \internal
+ * \brief Template functor to compute the Bessel function of the second kind of
+ * order zero
+ * \sa class CwiseUnaryOp, Cwise::bessel_y0()
+ */
+template <typename Scalar>
+struct scalar_bessel_y0_op {
+ EIGEN_EMPTY_STRUCT_CTOR(scalar_bessel_y0_op)
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const Scalar operator()(const Scalar& x) const {
+ using numext::bessel_y0;
+ return bessel_y0(x);
+ }
+ typedef typename packet_traits<Scalar>::type Packet;
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Packet packetOp(const Packet& x) const {
+ return internal::pbessel_y0(x);
+ }
+};
+template <typename Scalar>
+struct functor_traits<scalar_bessel_y0_op<Scalar> > {
+ enum {
+ // 6 polynomial of order ~N=8 is computed.
+ // The cost is N multiplications and N additions each, along with a
+ // sine, cosine, rsqrt and j0 cost.
+ Cost = 126 * NumTraits<Scalar>::MulCost + 96 * NumTraits<Scalar>::AddCost,
+ PacketAccess = packet_traits<Scalar>::HasBessel
+ };
+};
+
+/** \internal
+ * \brief Template functor to compute the Bessel function of the first kind of
+ * order one
+ * \sa class CwiseUnaryOp, Cwise::bessel_j1()
+ */
+template <typename Scalar>
+struct scalar_bessel_j1_op {
+ EIGEN_EMPTY_STRUCT_CTOR(scalar_bessel_j1_op)
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const Scalar operator()(const Scalar& x) const {
+ using numext::bessel_j1;
+ return bessel_j1(x);
+ }
+ typedef typename packet_traits<Scalar>::type Packet;
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Packet packetOp(const Packet& x) const {
+ return internal::pbessel_j1(x);
+ }
+};
+template <typename Scalar>
+struct functor_traits<scalar_bessel_j1_op<Scalar> > {
+ enum {
+ // 6 polynomial of order ~N=8 is computed.
+ // The cost is N multiplications and N additions each, along with a
+ // sine, cosine and rsqrt cost.
+ Cost = 63 * NumTraits<Scalar>::MulCost + 48 * NumTraits<Scalar>::AddCost,
+ PacketAccess = packet_traits<Scalar>::HasBessel
+ };
+};
+
+/** \internal
+ * \brief Template functor to compute the Bessel function of the second kind of
+ * order one
+ * \sa class CwiseUnaryOp, Cwise::bessel_j1e()
+ */
+template <typename Scalar>
+struct scalar_bessel_y1_op {
+ EIGEN_EMPTY_STRUCT_CTOR(scalar_bessel_y1_op)
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const Scalar operator()(const Scalar& x) const {
+ using numext::bessel_y1;
+ return bessel_y1(x);
+ }
+ typedef typename packet_traits<Scalar>::type Packet;
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Packet packetOp(const Packet& x) const {
+ return internal::pbessel_y1(x);
+ }
+};
+template <typename Scalar>
+struct functor_traits<scalar_bessel_y1_op<Scalar> > {
+ enum {
+ // 6 polynomial of order ~N=8 is computed.
+ // The cost is N multiplications and N additions each, along with a
+ // sine, cosine, rsqrt and j1 cost.
+ Cost = 126 * NumTraits<Scalar>::MulCost + 96 * NumTraits<Scalar>::AddCost,
+ PacketAccess = packet_traits<Scalar>::HasBessel
+ };
+};
+
+/** \internal
+ * \brief Template functor to compute the modified Bessel function of the second
+ * kind of order zero
+ * \sa class CwiseUnaryOp, Cwise::bessel_k0()
+ */
+template <typename Scalar>
+struct scalar_bessel_k0_op {
+ EIGEN_EMPTY_STRUCT_CTOR(scalar_bessel_k0_op)
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const Scalar operator()(const Scalar& x) const {
+ using numext::bessel_k0;
+ return bessel_k0(x);
+ }
+ typedef typename packet_traits<Scalar>::type Packet;
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Packet packetOp(const Packet& x) const {
+ return internal::pbessel_k0(x);
+ }
+};
+template <typename Scalar>
+struct functor_traits<scalar_bessel_k0_op<Scalar> > {
+ enum {
+ // On average, a Chebyshev polynomial of order N=10 is computed.
+ // The cost is N multiplications and 2N additions. In addition we compute
+ // i0, a log, exp and prsqrt and sin and cos.
+ Cost = 68 * NumTraits<Scalar>::MulCost + 88 * NumTraits<Scalar>::AddCost,
+ PacketAccess = packet_traits<Scalar>::HasBessel
+ };
+};
+
+/** \internal
+ * \brief Template functor to compute the exponentially scaled modified Bessel
+ * function of the second kind of order zero
+ * \sa class CwiseUnaryOp, Cwise::bessel_k0e()
+ */
+template <typename Scalar>
+struct scalar_bessel_k0e_op {
+ EIGEN_EMPTY_STRUCT_CTOR(scalar_bessel_k0e_op)
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const Scalar operator()(const Scalar& x) const {
+ using numext::bessel_k0e;
+ return bessel_k0e(x);
+ }
+ typedef typename packet_traits<Scalar>::type Packet;
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Packet packetOp(const Packet& x) const {
+ return internal::pbessel_k0e(x);
+ }
+};
+template <typename Scalar>
+struct functor_traits<scalar_bessel_k0e_op<Scalar> > {
+ enum {
+ // On average, a Chebyshev polynomial of order N=10 is computed.
+ // The cost is N multiplications and 2N additions. In addition we compute
+ // i0, a log, exp and prsqrt and sin and cos.
+ Cost = 68 * NumTraits<Scalar>::MulCost + 88 * NumTraits<Scalar>::AddCost,
+ PacketAccess = packet_traits<Scalar>::HasBessel
+ };
+};
+
+/** \internal
+ * \brief Template functor to compute the modified Bessel function of the
+ * second kind of order one
+ * \sa class CwiseUnaryOp, Cwise::bessel_k1()
+ */
+template <typename Scalar>
+struct scalar_bessel_k1_op {
+ EIGEN_EMPTY_STRUCT_CTOR(scalar_bessel_k1_op)
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const Scalar operator()(const Scalar& x) const {
+ using numext::bessel_k1;
+ return bessel_k1(x);
+ }
+ typedef typename packet_traits<Scalar>::type Packet;
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Packet packetOp(const Packet& x) const {
+ return internal::pbessel_k1(x);
+ }
+};
+template <typename Scalar>
+struct functor_traits<scalar_bessel_k1_op<Scalar> > {
+ enum {
+ // On average, a Chebyshev polynomial of order N=10 is computed.
+ // The cost is N multiplications and 2N additions. In addition we compute
+ // i1, a log, exp and prsqrt and sin and cos.
+ Cost = 68 * NumTraits<Scalar>::MulCost + 88 * NumTraits<Scalar>::AddCost,
+ PacketAccess = packet_traits<Scalar>::HasBessel
+ };
+};
+
+/** \internal
+ * \brief Template functor to compute the exponentially scaled modified Bessel
+ * function of the second kind of order one
+ * \sa class CwiseUnaryOp, Cwise::bessel_k1e()
+ */
+template <typename Scalar>
+struct scalar_bessel_k1e_op {
+ EIGEN_EMPTY_STRUCT_CTOR(scalar_bessel_k1e_op)
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const Scalar operator()(const Scalar& x) const {
+ using numext::bessel_k1e;
+ return bessel_k1e(x);
+ }
+ typedef typename packet_traits<Scalar>::type Packet;
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Packet packetOp(const Packet& x) const {
+ return internal::pbessel_k1e(x);
+ }
+};
+template <typename Scalar>
+struct functor_traits<scalar_bessel_k1e_op<Scalar> > {
+ enum {
+ // On average, a Chebyshev polynomial of order N=10 is computed.
+ // The cost is N multiplications and 2N additions. In addition we compute
+ // i1, a log, exp and prsqrt and sin and cos.
+ Cost = 68 * NumTraits<Scalar>::MulCost + 88 * NumTraits<Scalar>::AddCost,
+ PacketAccess = packet_traits<Scalar>::HasBessel
+ };
+};
+
+
+} // end namespace internal
+
+} // end namespace Eigen
+
+#endif // EIGEN_BESSELFUNCTIONS_FUNCTORS_H