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231 lines
14 KiB
C++
231 lines
14 KiB
C++
// 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) 2010-2016 Gael Guennebaud <gael.guennebaud@inria.fr>
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// Copyright (C) 2010 Benoit Jacob <jacob.benoit.1@gmail.com>
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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_GLOBAL_FUNCTIONS_H
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#define EIGEN_GLOBAL_FUNCTIONS_H
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#ifdef EIGEN_PARSED_BY_DOXYGEN
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#define EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(NAME, FUNCTOR, DOC_OP, DOC_DETAILS) \
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/** \returns an expression of the coefficient-wise DOC_OP of \a x \
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\ \
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DOC_DETAILS \
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\ \
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\sa <a href="group__CoeffwiseMathFunctions.html#cwisetable_##NAME">Math functions</a>, class CwiseUnaryOp \
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*/ \
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template <typename Derived> \
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inline const Eigen::CwiseUnaryOp<Eigen::internal::FUNCTOR<typename Derived::Scalar>, const Derived> NAME( \
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const Eigen::ArrayBase<Derived>& x);
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#else
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#define EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(NAME, FUNCTOR, DOC_OP, DOC_DETAILS) \
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template <typename Derived> \
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inline const Eigen::CwiseUnaryOp<Eigen::internal::FUNCTOR<typename Derived::Scalar>, const Derived>(NAME)( \
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const Eigen::ArrayBase<Derived>& x) { \
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return Eigen::CwiseUnaryOp<Eigen::internal::FUNCTOR<typename Derived::Scalar>, const Derived>(x.derived()); \
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}
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#endif // EIGEN_PARSED_BY_DOXYGEN
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#define EIGEN_ARRAY_DECLARE_GLOBAL_EIGEN_UNARY(NAME, FUNCTOR) \
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\
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template <typename Derived> \
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struct NAME##_retval<ArrayBase<Derived> > { \
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typedef const Eigen::CwiseUnaryOp<Eigen::internal::FUNCTOR<typename Derived::Scalar>, const Derived> type; \
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}; \
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template <typename Derived> \
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struct NAME##_impl<ArrayBase<Derived> > { \
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static inline typename NAME##_retval<ArrayBase<Derived> >::type run(const Eigen::ArrayBase<Derived>& x) { \
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return typename NAME##_retval<ArrayBase<Derived> >::type(x.derived()); \
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} \
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};
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// IWYU pragma: private
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#include "./InternalHeaderCheck.h"
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namespace Eigen {
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EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(real, scalar_real_op, real part,\sa ArrayBase::real)
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EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(imag, scalar_imag_op, imaginary part,\sa ArrayBase::imag)
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EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(conj, scalar_conjugate_op, complex conjugate,\sa ArrayBase::conjugate)
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EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(inverse, scalar_inverse_op, inverse,\sa ArrayBase::inverse)
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EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(sin, scalar_sin_op, sine,\sa ArrayBase::sin)
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EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(cos, scalar_cos_op, cosine,\sa ArrayBase::cos)
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EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(tan, scalar_tan_op, tangent,\sa ArrayBase::tan)
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EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(atan, scalar_atan_op, arc - tangent,\sa ArrayBase::atan)
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EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(asin, scalar_asin_op, arc - sine,\sa ArrayBase::asin)
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EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(acos, scalar_acos_op, arc - consine,\sa ArrayBase::acos)
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EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(sinh, scalar_sinh_op, hyperbolic sine,\sa ArrayBase::sinh)
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EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(cosh, scalar_cosh_op, hyperbolic cosine,\sa ArrayBase::cosh)
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EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(tanh, scalar_tanh_op, hyperbolic tangent,\sa ArrayBase::tanh)
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EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(asinh, scalar_asinh_op, inverse hyperbolic sine,\sa ArrayBase::asinh)
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EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(acosh, scalar_acosh_op, inverse hyperbolic cosine,\sa ArrayBase::acosh)
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EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(atanh, scalar_atanh_op, inverse hyperbolic tangent,\sa ArrayBase::atanh)
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EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(logistic, scalar_logistic_op, logistic function,\sa ArrayBase::logistic)
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EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(lgamma, scalar_lgamma_op,
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natural logarithm of the gamma function,\sa ArrayBase::lgamma)
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EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(digamma, scalar_digamma_op, derivative of lgamma,\sa ArrayBase::digamma)
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EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(erf, scalar_erf_op, error function,\sa ArrayBase::erf)
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EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(erfc, scalar_erfc_op, complement error function,\sa ArrayBase::erfc)
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EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(ndtri, scalar_ndtri_op, inverse normal distribution function,\sa ArrayBase::ndtri)
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EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(exp, scalar_exp_op, exponential,\sa ArrayBase::exp)
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EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(exp2, scalar_exp2_op, exponential,\sa ArrayBase::exp2)
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EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(expm1, scalar_expm1_op, exponential of a value minus 1,\sa ArrayBase::expm1)
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EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(log, scalar_log_op, natural logarithm,\sa Eigen::log10 DOXCOMMA ArrayBase::log)
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EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(log1p, scalar_log1p_op, natural logarithm of 1 plus the value,\sa ArrayBase::log1p)
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EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(log10, scalar_log10_op, base 10 logarithm,\sa Eigen::log DOXCOMMA ArrayBase::log10)
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EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(log2, scalar_log2_op, base 2 logarithm,\sa Eigen::log DOXCOMMA ArrayBase::log2)
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EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(abs, scalar_abs_op, absolute value,\sa ArrayBase::abs DOXCOMMA MatrixBase::cwiseAbs)
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EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(abs2, scalar_abs2_op,
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squared absolute value,\sa ArrayBase::abs2 DOXCOMMA MatrixBase::cwiseAbs2)
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EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(arg, scalar_arg_op, complex argument,\sa ArrayBase::arg DOXCOMMA MatrixBase::cwiseArg)
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EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(carg, scalar_carg_op,
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complex argument, \sa ArrayBase::carg DOXCOMMA MatrixBase::cwiseCArg)
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EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(sqrt, scalar_sqrt_op, square root,\sa ArrayBase::sqrt DOXCOMMA MatrixBase::cwiseSqrt)
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EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(cbrt, scalar_cbrt_op, cube root,\sa ArrayBase::cbrt DOXCOMMA MatrixBase::cwiseCbrt)
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EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(rsqrt, scalar_rsqrt_op, reciprocal square root,\sa ArrayBase::rsqrt)
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EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(square, scalar_square_op,
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square(power 2),\sa Eigen::abs2 DOXCOMMA Eigen::pow DOXCOMMA ArrayBase::square)
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EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(cube, scalar_cube_op, cube(power 3),\sa Eigen::pow DOXCOMMA ArrayBase::cube)
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EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(rint, scalar_rint_op,
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nearest integer,\sa Eigen::floor DOXCOMMA Eigen::ceil DOXCOMMA ArrayBase::round)
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EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(round, scalar_round_op,
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nearest integer,\sa Eigen::floor DOXCOMMA Eigen::ceil DOXCOMMA ArrayBase::round)
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EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(
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floor, scalar_floor_op, nearest integer not greater than the given value,\sa Eigen::ceil DOXCOMMA ArrayBase::floor)
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EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(
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ceil, scalar_ceil_op, nearest integer not less than the given value,\sa Eigen::floor DOXCOMMA ArrayBase::ceil)
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EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(trunc, scalar_trunc_op,
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nearest integer not greater in magnitude than the given value,\sa Eigen::trunc DOXCOMMA
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ArrayBase::trunc)
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EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(
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isnan, scalar_isnan_op, not -a - number test,\sa Eigen::isinf DOXCOMMA Eigen::isfinite DOXCOMMA ArrayBase::isnan)
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EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(
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isinf, scalar_isinf_op, infinite value test,\sa Eigen::isnan DOXCOMMA Eigen::isfinite DOXCOMMA ArrayBase::isinf)
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EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(isfinite, scalar_isfinite_op,
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finite value test,\sa Eigen::isinf DOXCOMMA Eigen::isnan DOXCOMMA ArrayBase::isfinite)
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EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(sign, scalar_sign_op, sign(or 0),\sa ArrayBase::sign)
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template <typename Derived, typename ScalarExponent>
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using GlobalUnaryPowReturnType = std::enable_if_t<
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!internal::is_arithmetic<typename NumTraits<Derived>::Real>::value &&
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internal::is_arithmetic<typename NumTraits<ScalarExponent>::Real>::value,
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CwiseUnaryOp<internal::scalar_unary_pow_op<typename Derived::Scalar, ScalarExponent>, const Derived> >;
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/** \returns an expression of the coefficient-wise power of \a x to the given constant \a exponent.
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*
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* \tparam ScalarExponent is the scalar type of \a exponent. It must be compatible with the scalar type of the given
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* expression (\c Derived::Scalar).
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*
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* \sa ArrayBase::pow()
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*
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* \relates ArrayBase
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*/
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#ifdef EIGEN_PARSED_BY_DOXYGEN
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template <typename Derived, typename ScalarExponent>
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EIGEN_DEVICE_FUNC inline const GlobalUnaryPowReturnType<Derived, ScalarExponent> pow(const Eigen::ArrayBase<Derived>& x,
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const ScalarExponent& exponent);
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#else
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template <typename Derived, typename ScalarExponent>
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EIGEN_DEVICE_FUNC inline const GlobalUnaryPowReturnType<Derived, ScalarExponent> pow(const Eigen::ArrayBase<Derived>& x,
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const ScalarExponent& exponent) {
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return GlobalUnaryPowReturnType<Derived, ScalarExponent>(
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x.derived(), internal::scalar_unary_pow_op<typename Derived::Scalar, ScalarExponent>(exponent));
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}
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#endif
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/** \returns an expression of the coefficient-wise power of \a x to the given array of \a exponents.
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*
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* This function computes the coefficient-wise power.
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*
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* Example: \include Cwise_array_power_array.cpp
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* Output: \verbinclude Cwise_array_power_array.out
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*
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* \sa ArrayBase::pow()
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*
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* \relates ArrayBase
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*/
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template <typename Derived, typename ExponentDerived>
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inline const Eigen::CwiseBinaryOp<
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Eigen::internal::scalar_pow_op<typename Derived::Scalar, typename ExponentDerived::Scalar>, const Derived,
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const ExponentDerived>
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pow(const Eigen::ArrayBase<Derived>& x, const Eigen::ArrayBase<ExponentDerived>& exponents) {
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return Eigen::CwiseBinaryOp<
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Eigen::internal::scalar_pow_op<typename Derived::Scalar, typename ExponentDerived::Scalar>, const Derived,
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const ExponentDerived>(x.derived(), exponents.derived());
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}
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/** \returns an expression of the coefficient-wise power of the scalar \a x to the given array of \a exponents.
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*
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* This function computes the coefficient-wise power between a scalar and an array of exponents.
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*
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* \tparam Scalar is the scalar type of \a x. It must be compatible with the scalar type of the given array expression
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* (\c Derived::Scalar).
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*
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* Example: \include Cwise_scalar_power_array.cpp
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* Output: \verbinclude Cwise_scalar_power_array.out
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*
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* \sa ArrayBase::pow()
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*
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* \relates ArrayBase
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*/
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#ifdef EIGEN_PARSED_BY_DOXYGEN
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template <typename Scalar, typename Derived>
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inline const CwiseBinaryOp<internal::scalar_pow_op<Scalar, Derived::Scalar>, Constant<Scalar>, Derived> pow(
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const Scalar& x, const Eigen::ArrayBase<Derived>& x);
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#else
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template <typename Scalar, typename Derived>
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EIGEN_DEVICE_FUNC inline const EIGEN_SCALAR_BINARYOP_EXPR_RETURN_TYPE(
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typename internal::promote_scalar_arg<typename Derived::Scalar EIGEN_COMMA Scalar EIGEN_COMMA
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EIGEN_SCALAR_BINARY_SUPPORTED(pow, Scalar,
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typename Derived::Scalar)>::type,
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Derived, pow) pow(const Scalar& x, const Eigen::ArrayBase<Derived>& exponents) {
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typedef
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typename internal::promote_scalar_arg<typename Derived::Scalar, Scalar,
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EIGEN_SCALAR_BINARY_SUPPORTED(pow, Scalar, typename Derived::Scalar)>::type
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PromotedScalar;
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return EIGEN_SCALAR_BINARYOP_EXPR_RETURN_TYPE(PromotedScalar, Derived, pow)(
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typename internal::plain_constant_type<Derived, PromotedScalar>::type(
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exponents.derived().rows(), exponents.derived().cols(), internal::scalar_constant_op<PromotedScalar>(x)),
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exponents.derived());
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}
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#endif
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/** \returns an expression of the coefficient-wise atan2(\a x, \a y). \a x and \a y must be of the same type.
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*
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* This function computes the coefficient-wise atan2().
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*
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* \sa ArrayBase::atan2()
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*
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* \relates ArrayBase
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*/
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template <typename LhsDerived, typename RhsDerived>
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inline const std::enable_if_t<
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std::is_same<typename LhsDerived::Scalar, typename RhsDerived::Scalar>::value,
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Eigen::CwiseBinaryOp<Eigen::internal::scalar_atan2_op<typename LhsDerived::Scalar, typename RhsDerived::Scalar>,
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const LhsDerived, const RhsDerived> >
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atan2(const Eigen::ArrayBase<LhsDerived>& x, const Eigen::ArrayBase<RhsDerived>& exponents) {
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return Eigen::CwiseBinaryOp<
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Eigen::internal::scalar_atan2_op<typename LhsDerived::Scalar, typename RhsDerived::Scalar>, const LhsDerived,
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const RhsDerived>(x.derived(), exponents.derived());
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}
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namespace internal {
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EIGEN_ARRAY_DECLARE_GLOBAL_EIGEN_UNARY(real, scalar_real_op)
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EIGEN_ARRAY_DECLARE_GLOBAL_EIGEN_UNARY(imag, scalar_imag_op)
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EIGEN_ARRAY_DECLARE_GLOBAL_EIGEN_UNARY(abs2, scalar_abs2_op)
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} // namespace internal
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} // namespace Eigen
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// TODO: cleanly disable those functions that are not supported on Array (numext::real_ref, internal::random,
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// internal::isApprox...)
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#endif // EIGEN_GLOBAL_FUNCTIONS_H
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