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+// This file is part of Eigen, a lightweight C++ template library
+// for linear algebra.
+//
+// Copyright (C) 2008-2016 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_UNARY_FUNCTORS_H
+#define EIGEN_UNARY_FUNCTORS_H
+
+namespace Eigen {
+
+namespace internal {
+
+/** \internal
+ * \brief Template functor to compute the opposite of a scalar
+ *
+ * \sa class CwiseUnaryOp, MatrixBase::operator-
+ */
+template<typename Scalar> struct scalar_opposite_op {
+ EIGEN_EMPTY_STRUCT_CTOR(scalar_opposite_op)
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const Scalar operator() (const Scalar& a) const { return -a; }
+ template<typename Packet>
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const Packet packetOp(const Packet& a) const
+ { return internal::pnegate(a); }
+};
+template<typename Scalar>
+struct functor_traits<scalar_opposite_op<Scalar> >
+{ enum {
+ Cost = NumTraits<Scalar>::AddCost,
+ PacketAccess = packet_traits<Scalar>::HasNegate };
+};
+
+/** \internal
+ * \brief Template functor to compute the absolute value of a scalar
+ *
+ * \sa class CwiseUnaryOp, Cwise::abs
+ */
+template<typename Scalar> struct scalar_abs_op {
+ EIGEN_EMPTY_STRUCT_CTOR(scalar_abs_op)
+ typedef typename NumTraits<Scalar>::Real result_type;
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const result_type operator() (const Scalar& a) const { return numext::abs(a); }
+ template<typename Packet>
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const Packet packetOp(const Packet& a) const
+ { return internal::pabs(a); }
+};
+template<typename Scalar>
+struct functor_traits<scalar_abs_op<Scalar> >
+{
+ enum {
+ Cost = NumTraits<Scalar>::AddCost,
+ PacketAccess = packet_traits<Scalar>::HasAbs
+ };
+};
+
+/** \internal
+ * \brief Template functor to compute the score of a scalar, to chose a pivot
+ *
+ * \sa class CwiseUnaryOp
+ */
+template<typename Scalar> struct scalar_score_coeff_op : scalar_abs_op<Scalar>
+{
+ typedef void Score_is_abs;
+};
+template<typename Scalar>
+struct functor_traits<scalar_score_coeff_op<Scalar> > : functor_traits<scalar_abs_op<Scalar> > {};
+
+/* Avoid recomputing abs when we know the score and they are the same. Not a true Eigen functor. */
+template<typename Scalar, typename=void> struct abs_knowing_score
+{
+ EIGEN_EMPTY_STRUCT_CTOR(abs_knowing_score)
+ typedef typename NumTraits<Scalar>::Real result_type;
+ template<typename Score>
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const result_type operator() (const Scalar& a, const Score&) const { return numext::abs(a); }
+};
+template<typename Scalar> struct abs_knowing_score<Scalar, typename scalar_score_coeff_op<Scalar>::Score_is_abs>
+{
+ EIGEN_EMPTY_STRUCT_CTOR(abs_knowing_score)
+ typedef typename NumTraits<Scalar>::Real result_type;
+ template<typename Scal>
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const result_type operator() (const Scal&, const result_type& a) const { return a; }
+};
+
+/** \internal
+ * \brief Template functor to compute the squared absolute value of a scalar
+ *
+ * \sa class CwiseUnaryOp, Cwise::abs2
+ */
+template<typename Scalar> struct scalar_abs2_op {
+ EIGEN_EMPTY_STRUCT_CTOR(scalar_abs2_op)
+ typedef typename NumTraits<Scalar>::Real result_type;
+ EIGEN_DEVICE_FUNC
+ EIGEN_STRONG_INLINE const result_type operator() (const Scalar& a) const { return numext::abs2(a); }
+ template<typename Packet>
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const Packet packetOp(const Packet& a) const
+ { return internal::pmul(a,a); }
+};
+template<typename Scalar>
+struct functor_traits<scalar_abs2_op<Scalar> >
+{ enum { Cost = NumTraits<Scalar>::MulCost, PacketAccess = packet_traits<Scalar>::HasAbs2 }; };
+
+/** \internal
+ * \brief Template functor to compute the conjugate of a complex value
+ *
+ * \sa class CwiseUnaryOp, MatrixBase::conjugate()
+ */
+template<typename Scalar> struct scalar_conjugate_op {
+ EIGEN_EMPTY_STRUCT_CTOR(scalar_conjugate_op)
+ EIGEN_DEVICE_FUNC
+ EIGEN_STRONG_INLINE const Scalar operator() (const Scalar& a) const { using numext::conj; return conj(a); }
+ template<typename Packet>
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const Packet packetOp(const Packet& a) const { return internal::pconj(a); }
+};
+template<typename Scalar>
+struct functor_traits<scalar_conjugate_op<Scalar> >
+{
+ enum {
+ Cost = NumTraits<Scalar>::IsComplex ? NumTraits<Scalar>::AddCost : 0,
+ PacketAccess = packet_traits<Scalar>::HasConj
+ };
+};
+
+/** \internal
+ * \brief Template functor to compute the phase angle of a complex
+ *
+ * \sa class CwiseUnaryOp, Cwise::arg
+ */
+template<typename Scalar> struct scalar_arg_op {
+ EIGEN_EMPTY_STRUCT_CTOR(scalar_arg_op)
+ typedef typename NumTraits<Scalar>::Real result_type;
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const result_type operator() (const Scalar& a) const { using numext::arg; return arg(a); }
+ template<typename Packet>
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const Packet packetOp(const Packet& a) const
+ { return internal::parg(a); }
+};
+template<typename Scalar>
+struct functor_traits<scalar_arg_op<Scalar> >
+{
+ enum {
+ Cost = NumTraits<Scalar>::IsComplex ? 5 * NumTraits<Scalar>::MulCost : NumTraits<Scalar>::AddCost,
+ PacketAccess = packet_traits<Scalar>::HasArg
+ };
+};
+/** \internal
+ * \brief Template functor to cast a scalar to another type
+ *
+ * \sa class CwiseUnaryOp, MatrixBase::cast()
+ */
+template<typename Scalar, typename NewType>
+struct scalar_cast_op {
+ EIGEN_EMPTY_STRUCT_CTOR(scalar_cast_op)
+ typedef NewType result_type;
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const NewType operator() (const Scalar& a) const { return cast<Scalar, NewType>(a); }
+};
+template<typename Scalar, typename NewType>
+struct functor_traits<scalar_cast_op<Scalar,NewType> >
+{ enum { Cost = is_same<Scalar, NewType>::value ? 0 : NumTraits<NewType>::AddCost, PacketAccess = false }; };
+
+/** \internal
+ * \brief Template functor to extract the real part of a complex
+ *
+ * \sa class CwiseUnaryOp, MatrixBase::real()
+ */
+template<typename Scalar>
+struct scalar_real_op {
+ EIGEN_EMPTY_STRUCT_CTOR(scalar_real_op)
+ typedef typename NumTraits<Scalar>::Real result_type;
+ EIGEN_DEVICE_FUNC
+ EIGEN_STRONG_INLINE result_type operator() (const Scalar& a) const { return numext::real(a); }
+};
+template<typename Scalar>
+struct functor_traits<scalar_real_op<Scalar> >
+{ enum { Cost = 0, PacketAccess = false }; };
+
+/** \internal
+ * \brief Template functor to extract the imaginary part of a complex
+ *
+ * \sa class CwiseUnaryOp, MatrixBase::imag()
+ */
+template<typename Scalar>
+struct scalar_imag_op {
+ EIGEN_EMPTY_STRUCT_CTOR(scalar_imag_op)
+ typedef typename NumTraits<Scalar>::Real result_type;
+ EIGEN_DEVICE_FUNC
+ EIGEN_STRONG_INLINE result_type operator() (const Scalar& a) const { return numext::imag(a); }
+};
+template<typename Scalar>
+struct functor_traits<scalar_imag_op<Scalar> >
+{ enum { Cost = 0, PacketAccess = false }; };
+
+/** \internal
+ * \brief Template functor to extract the real part of a complex as a reference
+ *
+ * \sa class CwiseUnaryOp, MatrixBase::real()
+ */
+template<typename Scalar>
+struct scalar_real_ref_op {
+ EIGEN_EMPTY_STRUCT_CTOR(scalar_real_ref_op)
+ typedef typename NumTraits<Scalar>::Real result_type;
+ EIGEN_DEVICE_FUNC
+ EIGEN_STRONG_INLINE result_type& operator() (const Scalar& a) const { return numext::real_ref(*const_cast<Scalar*>(&a)); }
+};
+template<typename Scalar>
+struct functor_traits<scalar_real_ref_op<Scalar> >
+{ enum { Cost = 0, PacketAccess = false }; };
+
+/** \internal
+ * \brief Template functor to extract the imaginary part of a complex as a reference
+ *
+ * \sa class CwiseUnaryOp, MatrixBase::imag()
+ */
+template<typename Scalar>
+struct scalar_imag_ref_op {
+ EIGEN_EMPTY_STRUCT_CTOR(scalar_imag_ref_op)
+ typedef typename NumTraits<Scalar>::Real result_type;
+ EIGEN_DEVICE_FUNC
+ EIGEN_STRONG_INLINE result_type& operator() (const Scalar& a) const { return numext::imag_ref(*const_cast<Scalar*>(&a)); }
+};
+template<typename Scalar>
+struct functor_traits<scalar_imag_ref_op<Scalar> >
+{ enum { Cost = 0, PacketAccess = false }; };
+
+/** \internal
+ *
+ * \brief Template functor to compute the exponential of a scalar
+ *
+ * \sa class CwiseUnaryOp, Cwise::exp()
+ */
+template<typename Scalar> struct scalar_exp_op {
+ EIGEN_EMPTY_STRUCT_CTOR(scalar_exp_op)
+ EIGEN_DEVICE_FUNC inline const Scalar operator() (const Scalar& a) const { return numext::exp(a); }
+ template <typename Packet>
+ EIGEN_DEVICE_FUNC inline Packet packetOp(const Packet& a) const { return internal::pexp(a); }
+};
+template <typename Scalar>
+struct functor_traits<scalar_exp_op<Scalar> > {
+ enum {
+ PacketAccess = packet_traits<Scalar>::HasExp,
+ // The following numbers are based on the AVX implementation.
+#ifdef EIGEN_VECTORIZE_FMA
+ // Haswell can issue 2 add/mul/madd per cycle.
+ Cost =
+ (sizeof(Scalar) == 4
+ // float: 8 pmadd, 4 pmul, 2 padd/psub, 6 other
+ ? (8 * NumTraits<Scalar>::AddCost + 6 * NumTraits<Scalar>::MulCost)
+ // double: 7 pmadd, 5 pmul, 3 padd/psub, 1 div, 13 other
+ : (14 * NumTraits<Scalar>::AddCost +
+ 6 * NumTraits<Scalar>::MulCost +
+ scalar_div_cost<Scalar,packet_traits<Scalar>::HasDiv>::value))
+#else
+ Cost =
+ (sizeof(Scalar) == 4
+ // float: 7 pmadd, 6 pmul, 4 padd/psub, 10 other
+ ? (21 * NumTraits<Scalar>::AddCost + 13 * NumTraits<Scalar>::MulCost)
+ // double: 7 pmadd, 5 pmul, 3 padd/psub, 1 div, 13 other
+ : (23 * NumTraits<Scalar>::AddCost +
+ 12 * NumTraits<Scalar>::MulCost +
+ scalar_div_cost<Scalar,packet_traits<Scalar>::HasDiv>::value))
+#endif
+ };
+};
+
+/** \internal
+ *
+ * \brief Template functor to compute the logarithm of a scalar
+ *
+ * \sa class CwiseUnaryOp, ArrayBase::log()
+ */
+template<typename Scalar> struct scalar_log_op {
+ EIGEN_EMPTY_STRUCT_CTOR(scalar_log_op)
+ EIGEN_DEVICE_FUNC inline const Scalar operator() (const Scalar& a) const { return numext::log(a); }
+ template <typename Packet>
+ EIGEN_DEVICE_FUNC inline Packet packetOp(const Packet& a) const { return internal::plog(a); }
+};
+template <typename Scalar>
+struct functor_traits<scalar_log_op<Scalar> > {
+ enum {
+ PacketAccess = packet_traits<Scalar>::HasLog,
+ Cost =
+ (PacketAccess
+ // The following numbers are based on the AVX implementation.
+#ifdef EIGEN_VECTORIZE_FMA
+ // 8 pmadd, 6 pmul, 8 padd/psub, 16 other, can issue 2 add/mul/madd per cycle.
+ ? (20 * NumTraits<Scalar>::AddCost + 7 * NumTraits<Scalar>::MulCost)
+#else
+ // 8 pmadd, 6 pmul, 8 padd/psub, 20 other
+ ? (36 * NumTraits<Scalar>::AddCost + 14 * NumTraits<Scalar>::MulCost)
+#endif
+ // Measured cost of std::log.
+ : sizeof(Scalar)==4 ? 40 : 85)
+ };
+};
+
+/** \internal
+ *
+ * \brief Template functor to compute the logarithm of 1 plus a scalar value
+ *
+ * \sa class CwiseUnaryOp, ArrayBase::log1p()
+ */
+template<typename Scalar> struct scalar_log1p_op {
+ EIGEN_EMPTY_STRUCT_CTOR(scalar_log1p_op)
+ EIGEN_DEVICE_FUNC inline const Scalar operator() (const Scalar& a) const { return numext::log1p(a); }
+ template <typename Packet>
+ EIGEN_DEVICE_FUNC inline Packet packetOp(const Packet& a) const { return internal::plog1p(a); }
+};
+template <typename Scalar>
+struct functor_traits<scalar_log1p_op<Scalar> > {
+ enum {
+ PacketAccess = packet_traits<Scalar>::HasLog1p,
+ Cost = functor_traits<scalar_log_op<Scalar> >::Cost // TODO measure cost of log1p
+ };
+};
+
+/** \internal
+ *
+ * \brief Template functor to compute the base-10 logarithm of a scalar
+ *
+ * \sa class CwiseUnaryOp, Cwise::log10()
+ */
+template<typename Scalar> struct scalar_log10_op {
+ EIGEN_EMPTY_STRUCT_CTOR(scalar_log10_op)
+ EIGEN_DEVICE_FUNC inline const Scalar operator() (const Scalar& a) const { EIGEN_USING_STD_MATH(log10) return log10(a); }
+ template <typename Packet>
+ EIGEN_DEVICE_FUNC inline Packet packetOp(const Packet& a) const { return internal::plog10(a); }
+};
+template<typename Scalar>
+struct functor_traits<scalar_log10_op<Scalar> >
+{ enum { Cost = 5 * NumTraits<Scalar>::MulCost, PacketAccess = packet_traits<Scalar>::HasLog10 }; };
+
+/** \internal
+ * \brief Template functor to compute the square root of a scalar
+ * \sa class CwiseUnaryOp, Cwise::sqrt()
+ */
+template<typename Scalar> struct scalar_sqrt_op {
+ EIGEN_EMPTY_STRUCT_CTOR(scalar_sqrt_op)
+ EIGEN_DEVICE_FUNC inline const Scalar operator() (const Scalar& a) const { return numext::sqrt(a); }
+ template <typename Packet>
+ EIGEN_DEVICE_FUNC inline Packet packetOp(const Packet& a) const { return internal::psqrt(a); }
+};
+template <typename Scalar>
+struct functor_traits<scalar_sqrt_op<Scalar> > {
+ enum {
+#if EIGEN_FAST_MATH
+ // The following numbers are based on the AVX implementation.
+ Cost = (sizeof(Scalar) == 8 ? 28
+ // 4 pmul, 1 pmadd, 3 other
+ : (3 * NumTraits<Scalar>::AddCost +
+ 5 * NumTraits<Scalar>::MulCost)),
+#else
+ // The following numbers are based on min VSQRT throughput on Haswell.
+ Cost = (sizeof(Scalar) == 8 ? 28 : 14),
+#endif
+ PacketAccess = packet_traits<Scalar>::HasSqrt
+ };
+};
+
+/** \internal
+ * \brief Template functor to compute the reciprocal square root of a scalar
+ * \sa class CwiseUnaryOp, Cwise::rsqrt()
+ */
+template<typename Scalar> struct scalar_rsqrt_op {
+ EIGEN_EMPTY_STRUCT_CTOR(scalar_rsqrt_op)
+ EIGEN_DEVICE_FUNC inline const Scalar operator() (const Scalar& a) const { return Scalar(1)/numext::sqrt(a); }
+ template <typename Packet>
+ EIGEN_DEVICE_FUNC inline Packet packetOp(const Packet& a) const { return internal::prsqrt(a); }
+};
+
+template<typename Scalar>
+struct functor_traits<scalar_rsqrt_op<Scalar> >
+{ enum {
+ Cost = 5 * NumTraits<Scalar>::MulCost,
+ PacketAccess = packet_traits<Scalar>::HasRsqrt
+ };
+};
+
+/** \internal
+ * \brief Template functor to compute the cosine of a scalar
+ * \sa class CwiseUnaryOp, ArrayBase::cos()
+ */
+template<typename Scalar> struct scalar_cos_op {
+ EIGEN_EMPTY_STRUCT_CTOR(scalar_cos_op)
+ EIGEN_DEVICE_FUNC inline Scalar operator() (const Scalar& a) const { return numext::cos(a); }
+ template <typename Packet>
+ EIGEN_DEVICE_FUNC inline Packet packetOp(const Packet& a) const { return internal::pcos(a); }
+};
+template<typename Scalar>
+struct functor_traits<scalar_cos_op<Scalar> >
+{
+ enum {
+ Cost = 5 * NumTraits<Scalar>::MulCost,
+ PacketAccess = packet_traits<Scalar>::HasCos
+ };
+};
+
+/** \internal
+ * \brief Template functor to compute the sine of a scalar
+ * \sa class CwiseUnaryOp, ArrayBase::sin()
+ */
+template<typename Scalar> struct scalar_sin_op {
+ EIGEN_EMPTY_STRUCT_CTOR(scalar_sin_op)
+ EIGEN_DEVICE_FUNC inline const Scalar operator() (const Scalar& a) const { return numext::sin(a); }
+ template <typename Packet>
+ EIGEN_DEVICE_FUNC inline Packet packetOp(const Packet& a) const { return internal::psin(a); }
+};
+template<typename Scalar>
+struct functor_traits<scalar_sin_op<Scalar> >
+{
+ enum {
+ Cost = 5 * NumTraits<Scalar>::MulCost,
+ PacketAccess = packet_traits<Scalar>::HasSin
+ };
+};
+
+
+/** \internal
+ * \brief Template functor to compute the tan of a scalar
+ * \sa class CwiseUnaryOp, ArrayBase::tan()
+ */
+template<typename Scalar> struct scalar_tan_op {
+ EIGEN_EMPTY_STRUCT_CTOR(scalar_tan_op)
+ EIGEN_DEVICE_FUNC inline const Scalar operator() (const Scalar& a) const { return numext::tan(a); }
+ template <typename Packet>
+ EIGEN_DEVICE_FUNC inline Packet packetOp(const Packet& a) const { return internal::ptan(a); }
+};
+template<typename Scalar>
+struct functor_traits<scalar_tan_op<Scalar> >
+{
+ enum {
+ Cost = 5 * NumTraits<Scalar>::MulCost,
+ PacketAccess = packet_traits<Scalar>::HasTan
+ };
+};
+
+/** \internal
+ * \brief Template functor to compute the arc cosine of a scalar
+ * \sa class CwiseUnaryOp, ArrayBase::acos()
+ */
+template<typename Scalar> struct scalar_acos_op {
+ EIGEN_EMPTY_STRUCT_CTOR(scalar_acos_op)
+ EIGEN_DEVICE_FUNC inline const Scalar operator() (const Scalar& a) const { return numext::acos(a); }
+ template <typename Packet>
+ EIGEN_DEVICE_FUNC inline Packet packetOp(const Packet& a) const { return internal::pacos(a); }
+};
+template<typename Scalar>
+struct functor_traits<scalar_acos_op<Scalar> >
+{
+ enum {
+ Cost = 5 * NumTraits<Scalar>::MulCost,
+ PacketAccess = packet_traits<Scalar>::HasACos
+ };
+};
+
+/** \internal
+ * \brief Template functor to compute the arc sine of a scalar
+ * \sa class CwiseUnaryOp, ArrayBase::asin()
+ */
+template<typename Scalar> struct scalar_asin_op {
+ EIGEN_EMPTY_STRUCT_CTOR(scalar_asin_op)
+ EIGEN_DEVICE_FUNC inline const Scalar operator() (const Scalar& a) const { return numext::asin(a); }
+ template <typename Packet>
+ EIGEN_DEVICE_FUNC inline Packet packetOp(const Packet& a) const { return internal::pasin(a); }
+};
+template<typename Scalar>
+struct functor_traits<scalar_asin_op<Scalar> >
+{
+ enum {
+ Cost = 5 * NumTraits<Scalar>::MulCost,
+ PacketAccess = packet_traits<Scalar>::HasASin
+ };
+};
+
+
+/** \internal
+ * \brief Template functor to compute the atan of a scalar
+ * \sa class CwiseUnaryOp, ArrayBase::atan()
+ */
+template<typename Scalar> struct scalar_atan_op {
+ EIGEN_EMPTY_STRUCT_CTOR(scalar_atan_op)
+ EIGEN_DEVICE_FUNC inline const Scalar operator() (const Scalar& a) const { return numext::atan(a); }
+ template <typename Packet>
+ EIGEN_DEVICE_FUNC inline Packet packetOp(const Packet& a) const { return internal::patan(a); }
+};
+template<typename Scalar>
+struct functor_traits<scalar_atan_op<Scalar> >
+{
+ enum {
+ Cost = 5 * NumTraits<Scalar>::MulCost,
+ PacketAccess = packet_traits<Scalar>::HasATan
+ };
+};
+
+/** \internal
+ * \brief Template functor to compute the tanh of a scalar
+ * \sa class CwiseUnaryOp, ArrayBase::tanh()
+ */
+template <typename Scalar>
+struct scalar_tanh_op {
+ EIGEN_EMPTY_STRUCT_CTOR(scalar_tanh_op)
+ EIGEN_DEVICE_FUNC inline const Scalar operator()(const Scalar& a) const { return numext::tanh(a); }
+ template <typename Packet>
+ EIGEN_DEVICE_FUNC inline Packet packetOp(const Packet& x) const { return ptanh(x); }
+};
+
+template <typename Scalar>
+struct functor_traits<scalar_tanh_op<Scalar> > {
+ enum {
+ PacketAccess = packet_traits<Scalar>::HasTanh,
+ Cost = ( (EIGEN_FAST_MATH && is_same<Scalar,float>::value)
+// The following numbers are based on the AVX implementation,
+#ifdef EIGEN_VECTORIZE_FMA
+ // Haswell can issue 2 add/mul/madd per cycle.
+ // 9 pmadd, 2 pmul, 1 div, 2 other
+ ? (2 * NumTraits<Scalar>::AddCost +
+ 6 * NumTraits<Scalar>::MulCost +
+ scalar_div_cost<Scalar,packet_traits<Scalar>::HasDiv>::value)
+#else
+ ? (11 * NumTraits<Scalar>::AddCost +
+ 11 * NumTraits<Scalar>::MulCost +
+ scalar_div_cost<Scalar,packet_traits<Scalar>::HasDiv>::value)
+#endif
+ // This number assumes a naive implementation of tanh
+ : (6 * NumTraits<Scalar>::AddCost +
+ 3 * NumTraits<Scalar>::MulCost +
+ 2 * scalar_div_cost<Scalar,packet_traits<Scalar>::HasDiv>::value +
+ functor_traits<scalar_exp_op<Scalar> >::Cost))
+ };
+};
+
+/** \internal
+ * \brief Template functor to compute the sinh of a scalar
+ * \sa class CwiseUnaryOp, ArrayBase::sinh()
+ */
+template<typename Scalar> struct scalar_sinh_op {
+ EIGEN_EMPTY_STRUCT_CTOR(scalar_sinh_op)
+ EIGEN_DEVICE_FUNC inline const Scalar operator() (const Scalar& a) const { return numext::sinh(a); }
+ template <typename Packet>
+ EIGEN_DEVICE_FUNC inline Packet packetOp(const Packet& a) const { return internal::psinh(a); }
+};
+template<typename Scalar>
+struct functor_traits<scalar_sinh_op<Scalar> >
+{
+ enum {
+ Cost = 5 * NumTraits<Scalar>::MulCost,
+ PacketAccess = packet_traits<Scalar>::HasSinh
+ };
+};
+
+/** \internal
+ * \brief Template functor to compute the cosh of a scalar
+ * \sa class CwiseUnaryOp, ArrayBase::cosh()
+ */
+template<typename Scalar> struct scalar_cosh_op {
+ EIGEN_EMPTY_STRUCT_CTOR(scalar_cosh_op)
+ EIGEN_DEVICE_FUNC inline const Scalar operator() (const Scalar& a) const { return numext::cosh(a); }
+ template <typename Packet>
+ EIGEN_DEVICE_FUNC inline Packet packetOp(const Packet& a) const { return internal::pcosh(a); }
+};
+template<typename Scalar>
+struct functor_traits<scalar_cosh_op<Scalar> >
+{
+ enum {
+ Cost = 5 * NumTraits<Scalar>::MulCost,
+ PacketAccess = packet_traits<Scalar>::HasCosh
+ };
+};
+
+/** \internal
+ * \brief Template functor to compute the inverse of a scalar
+ * \sa class CwiseUnaryOp, Cwise::inverse()
+ */
+template<typename Scalar>
+struct scalar_inverse_op {
+ EIGEN_EMPTY_STRUCT_CTOR(scalar_inverse_op)
+ EIGEN_DEVICE_FUNC inline Scalar operator() (const Scalar& a) const { return Scalar(1)/a; }
+ template<typename Packet>
+ EIGEN_DEVICE_FUNC inline const Packet packetOp(const Packet& a) const
+ { return internal::pdiv(pset1<Packet>(Scalar(1)),a); }
+};
+template<typename Scalar>
+struct functor_traits<scalar_inverse_op<Scalar> >
+{ enum { Cost = NumTraits<Scalar>::MulCost, PacketAccess = packet_traits<Scalar>::HasDiv }; };
+
+/** \internal
+ * \brief Template functor to compute the square of a scalar
+ * \sa class CwiseUnaryOp, Cwise::square()
+ */
+template<typename Scalar>
+struct scalar_square_op {
+ EIGEN_EMPTY_STRUCT_CTOR(scalar_square_op)
+ EIGEN_DEVICE_FUNC inline Scalar operator() (const Scalar& a) const { return a*a; }
+ template<typename Packet>
+ EIGEN_DEVICE_FUNC inline const Packet packetOp(const Packet& a) const
+ { return internal::pmul(a,a); }
+};
+template<typename Scalar>
+struct functor_traits<scalar_square_op<Scalar> >
+{ enum { Cost = NumTraits<Scalar>::MulCost, PacketAccess = packet_traits<Scalar>::HasMul }; };
+
+/** \internal
+ * \brief Template functor to compute the cube of a scalar
+ * \sa class CwiseUnaryOp, Cwise::cube()
+ */
+template<typename Scalar>
+struct scalar_cube_op {
+ EIGEN_EMPTY_STRUCT_CTOR(scalar_cube_op)
+ EIGEN_DEVICE_FUNC inline Scalar operator() (const Scalar& a) const { return a*a*a; }
+ template<typename Packet>
+ EIGEN_DEVICE_FUNC inline const Packet packetOp(const Packet& a) const
+ { return internal::pmul(a,pmul(a,a)); }
+};
+template<typename Scalar>
+struct functor_traits<scalar_cube_op<Scalar> >
+{ enum { Cost = 2*NumTraits<Scalar>::MulCost, PacketAccess = packet_traits<Scalar>::HasMul }; };
+
+/** \internal
+ * \brief Template functor to compute the rounded value of a scalar
+ * \sa class CwiseUnaryOp, ArrayBase::round()
+ */
+template<typename Scalar> struct scalar_round_op {
+ EIGEN_EMPTY_STRUCT_CTOR(scalar_round_op)
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const Scalar operator() (const Scalar& a) const { return numext::round(a); }
+ template <typename Packet>
+ EIGEN_DEVICE_FUNC inline Packet packetOp(const Packet& a) const { return internal::pround(a); }
+};
+template<typename Scalar>
+struct functor_traits<scalar_round_op<Scalar> >
+{
+ enum {
+ Cost = NumTraits<Scalar>::MulCost,
+ PacketAccess = packet_traits<Scalar>::HasRound
+ };
+};
+
+/** \internal
+ * \brief Template functor to compute the floor of a scalar
+ * \sa class CwiseUnaryOp, ArrayBase::floor()
+ */
+template<typename Scalar> struct scalar_floor_op {
+ EIGEN_EMPTY_STRUCT_CTOR(scalar_floor_op)
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const Scalar operator() (const Scalar& a) const { return numext::floor(a); }
+ template <typename Packet>
+ EIGEN_DEVICE_FUNC inline Packet packetOp(const Packet& a) const { return internal::pfloor(a); }
+};
+template<typename Scalar>
+struct functor_traits<scalar_floor_op<Scalar> >
+{
+ enum {
+ Cost = NumTraits<Scalar>::MulCost,
+ PacketAccess = packet_traits<Scalar>::HasFloor
+ };
+};
+
+/** \internal
+ * \brief Template functor to compute the ceil of a scalar
+ * \sa class CwiseUnaryOp, ArrayBase::ceil()
+ */
+template<typename Scalar> struct scalar_ceil_op {
+ EIGEN_EMPTY_STRUCT_CTOR(scalar_ceil_op)
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const Scalar operator() (const Scalar& a) const { return numext::ceil(a); }
+ template <typename Packet>
+ EIGEN_DEVICE_FUNC inline Packet packetOp(const Packet& a) const { return internal::pceil(a); }
+};
+template<typename Scalar>
+struct functor_traits<scalar_ceil_op<Scalar> >
+{
+ enum {
+ Cost = NumTraits<Scalar>::MulCost,
+ PacketAccess = packet_traits<Scalar>::HasCeil
+ };
+};
+
+/** \internal
+ * \brief Template functor to compute whether a scalar is NaN
+ * \sa class CwiseUnaryOp, ArrayBase::isnan()
+ */
+template<typename Scalar> struct scalar_isnan_op {
+ EIGEN_EMPTY_STRUCT_CTOR(scalar_isnan_op)
+ typedef bool result_type;
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE result_type operator() (const Scalar& a) const { return (numext::isnan)(a); }
+};
+template<typename Scalar>
+struct functor_traits<scalar_isnan_op<Scalar> >
+{
+ enum {
+ Cost = NumTraits<Scalar>::MulCost,
+ PacketAccess = false
+ };
+};
+
+/** \internal
+ * \brief Template functor to check whether a scalar is +/-inf
+ * \sa class CwiseUnaryOp, ArrayBase::isinf()
+ */
+template<typename Scalar> struct scalar_isinf_op {
+ EIGEN_EMPTY_STRUCT_CTOR(scalar_isinf_op)
+ typedef bool result_type;
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE result_type operator() (const Scalar& a) const { return (numext::isinf)(a); }
+};
+template<typename Scalar>
+struct functor_traits<scalar_isinf_op<Scalar> >
+{
+ enum {
+ Cost = NumTraits<Scalar>::MulCost,
+ PacketAccess = false
+ };
+};
+
+/** \internal
+ * \brief Template functor to check whether a scalar has a finite value
+ * \sa class CwiseUnaryOp, ArrayBase::isfinite()
+ */
+template<typename Scalar> struct scalar_isfinite_op {
+ EIGEN_EMPTY_STRUCT_CTOR(scalar_isfinite_op)
+ typedef bool result_type;
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE result_type operator() (const Scalar& a) const { return (numext::isfinite)(a); }
+};
+template<typename Scalar>
+struct functor_traits<scalar_isfinite_op<Scalar> >
+{
+ enum {
+ Cost = NumTraits<Scalar>::MulCost,
+ PacketAccess = false
+ };
+};
+
+/** \internal
+ * \brief Template functor to compute the logical not of a boolean
+ *
+ * \sa class CwiseUnaryOp, ArrayBase::operator!
+ */
+template<typename Scalar> struct scalar_boolean_not_op {
+ EIGEN_EMPTY_STRUCT_CTOR(scalar_boolean_not_op)
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE bool operator() (const bool& a) const { return !a; }
+};
+template<typename Scalar>
+struct functor_traits<scalar_boolean_not_op<Scalar> > {
+ enum {
+ Cost = NumTraits<bool>::AddCost,
+ PacketAccess = false
+ };
+};
+
+/** \internal
+ * \brief Template functor to compute the signum of a scalar
+ * \sa class CwiseUnaryOp, Cwise::sign()
+ */
+template<typename Scalar,bool iscpx=(NumTraits<Scalar>::IsComplex!=0) > struct scalar_sign_op;
+template<typename Scalar>
+struct scalar_sign_op<Scalar,false> {
+ EIGEN_EMPTY_STRUCT_CTOR(scalar_sign_op)
+ EIGEN_DEVICE_FUNC inline const Scalar operator() (const Scalar& a) const
+ {
+ return Scalar( (a>Scalar(0)) - (a<Scalar(0)) );
+ }
+ //TODO
+ //template <typename Packet>
+ //EIGEN_DEVICE_FUNC inline Packet packetOp(const Packet& a) const { return internal::psign(a); }
+};
+template<typename Scalar>
+struct scalar_sign_op<Scalar,true> {
+ EIGEN_EMPTY_STRUCT_CTOR(scalar_sign_op)
+ EIGEN_DEVICE_FUNC inline const Scalar operator() (const Scalar& a) const
+ {
+ typedef typename NumTraits<Scalar>::Real real_type;
+ real_type aa = numext::abs(a);
+ if (aa==real_type(0))
+ return Scalar(0);
+ aa = real_type(1)/aa;
+ return Scalar(real(a)*aa, imag(a)*aa );
+ }
+ //TODO
+ //template <typename Packet>
+ //EIGEN_DEVICE_FUNC inline Packet packetOp(const Packet& a) const { return internal::psign(a); }
+};
+template<typename Scalar>
+struct functor_traits<scalar_sign_op<Scalar> >
+{ enum {
+ Cost =
+ NumTraits<Scalar>::IsComplex
+ ? ( 8*NumTraits<Scalar>::MulCost ) // roughly
+ : ( 3*NumTraits<Scalar>::AddCost),
+ PacketAccess = packet_traits<Scalar>::HasSign
+ };
+};
+
+} // end namespace internal
+
+} // end namespace Eigen
+
+#endif // EIGEN_FUNCTORS_H