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SpecialFunctionsHalf.h
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1// This file is part of Eigen, a lightweight C++ template library
2// for linear algebra.
3//
4// This Source Code Form is subject to the terms of the Mozilla
5// Public License v. 2.0. If a copy of the MPL was not distributed
6// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
7
8#ifndef EIGEN_SPECIALFUNCTIONS_HALF_H
9#define EIGEN_SPECIALFUNCTIONS_HALF_H
10
11namespace Eigen {
12namespace numext {
13
14#if EIGEN_HAS_C99_MATH
16 return Eigen::half(Eigen::numext::lgamma(static_cast<float>(a)));
17}
19 return Eigen::half(Eigen::numext::digamma(static_cast<float>(a)));
20}
22 return Eigen::half(Eigen::numext::zeta(static_cast<float>(x), static_cast<float>(q)));
23}
25 return Eigen::half(Eigen::numext::polygamma(static_cast<float>(n), static_cast<float>(x)));
26}
28 return Eigen::half(Eigen::numext::erf(static_cast<float>(a)));
29}
31 return Eigen::half(Eigen::numext::erfc(static_cast<float>(a)));
32}
34 return Eigen::half(Eigen::numext::ndtri(static_cast<float>(a)));
35}
37 return Eigen::half(Eigen::numext::igamma(static_cast<float>(a), static_cast<float>(x)));
38}
39template <>
41 return Eigen::half(Eigen::numext::igamma_der_a(static_cast<float>(a), static_cast<float>(x)));
42}
43template <>
45 return Eigen::half(Eigen::numext::gamma_sample_der_alpha(static_cast<float>(alpha), static_cast<float>(sample)));
46}
48 return Eigen::half(Eigen::numext::igammac(static_cast<float>(a), static_cast<float>(x)));
49}
51 return Eigen::half(Eigen::numext::betainc(static_cast<float>(a), static_cast<float>(b), static_cast<float>(x)));
52}
53#endif
54
55} // end namespace numext
56} // end namespace Eigen
57
58#endif // EIGEN_SPECIALFUNCTIONS_HALF_H
EIGEN_DEVICE_FUNC const LgammaReturnType lgamma() const
Definition ArrayCwiseUnaryOps.h:620
EIGEN_DEVICE_FUNC const NdtriReturnType ndtri() const
Definition ArrayCwiseUnaryOps.h:693
EIGEN_DEVICE_FUNC const DigammaReturnType digamma() const
Definition ArrayCwiseUnaryOps.h:637
EIGEN_DEVICE_FUNC const ErfcReturnType erfc() const
Definition ArrayCwiseUnaryOps.h:673
EIGEN_DEVICE_FUNC const ErfReturnType erf() const
Definition ArrayCwiseUnaryOps.h:655
ArrayXXi a
Definition Array_initializer_list_23_cxx11.cpp:1
int n
Definition BiCGSTAB_simple.cpp:1
#define EIGEN_DEVICE_FUNC
Definition Macros.h:976
#define EIGEN_STRONG_INLINE
Definition Macros.h:917
RealScalar alpha
Definition level1_cplx_impl.h:147
EIGEN_DEVICE_FUNC const Scalar & q
Definition SpecialFunctionsImpl.h:1984
EIGEN_DEVICE_FUNC const Scalar & x
Definition SpecialFunctionsImpl.h:1990
EIGEN_DEVICE_FUNC const Scalar & b
Definition SpecialFunctionsImpl.h:2038
Namespace containing all symbols from the Eigen library.
Definition bench_norm.cpp:85
EIGEN_STRONG_INLINE const Eigen::CwiseBinaryOp< Eigen::internal::scalar_polygamma_op< typename DerivedX::Scalar >, const DerivedN, const DerivedX > polygamma(const Eigen::ArrayBase< DerivedN > &n, const Eigen::ArrayBase< DerivedX > &x)
Definition SpecialFunctionsArrayAPI.h:112
EIGEN_STRONG_INLINE const Eigen::CwiseBinaryOp< Eigen::internal::scalar_igamma_der_a_op< typename Derived::Scalar >, const Derived, const ExponentDerived > igamma_der_a(const Eigen::ArrayBase< Derived > &a, const Eigen::ArrayBase< ExponentDerived > &x)
Definition SpecialFunctionsArrayAPI.h:51
EIGEN_STRONG_INLINE const Eigen::CwiseBinaryOp< Eigen::internal::scalar_igamma_op< typename Derived::Scalar >, const Derived, const ExponentDerived > igamma(const Eigen::ArrayBase< Derived > &a, const Eigen::ArrayBase< ExponentDerived > &x)
Definition SpecialFunctionsArrayAPI.h:28
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const TensorCwiseTernaryOp< internal::scalar_betainc_op< typename XDerived::Scalar >, const ADerived, const BDerived, const XDerived > betainc(const ADerived &a, const BDerived &b, const XDerived &x)
Definition TensorGlobalFunctions.h:24
EIGEN_STRONG_INLINE const Eigen::CwiseBinaryOp< Eigen::internal::scalar_gamma_sample_der_alpha_op< typename AlphaDerived::Scalar >, const AlphaDerived, const SampleDerived > gamma_sample_der_alpha(const Eigen::ArrayBase< AlphaDerived > &alpha, const Eigen::ArrayBase< SampleDerived > &sample)
Definition SpecialFunctionsArrayAPI.h:72
EIGEN_STRONG_INLINE const Eigen::CwiseBinaryOp< Eigen::internal::scalar_zeta_op< typename DerivedX::Scalar >, const DerivedX, const DerivedQ > zeta(const Eigen::ArrayBase< DerivedX > &x, const Eigen::ArrayBase< DerivedQ > &q)
Definition SpecialFunctionsArrayAPI.h:156
EIGEN_STRONG_INLINE const Eigen::CwiseBinaryOp< Eigen::internal::scalar_igammac_op< typename Derived::Scalar >, const Derived, const ExponentDerived > igammac(const Eigen::ArrayBase< Derived > &a, const Eigen::ArrayBase< ExponentDerived > &x)
Definition SpecialFunctionsArrayAPI.h:90
Definition Half.h:142