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/////////////////////////////////////////////////////////////////////////////// // Copyright 2018 John Maddock. Distributed under the Boost // Software License, Version 1.0. (See accompanying file // LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) #ifndef BOOST_MP_EIGEN_HPP #define BOOST_MP_EIGEN_HPP #include <boost/multiprecision/number.hpp> #include <Eigen/Core> // // Generic Eigen support code: // namespace Eigen { template <class Backend, boost::multiprecision::expression_template_option ExpressionTemplates> struct NumTraits<boost::multiprecision::number<Backend, ExpressionTemplates> > { typedef boost::multiprecision::number<Backend, ExpressionTemplates> self_type; typedef typename boost::multiprecision::scalar_result_from_possible_complex<self_type>::type Real; typedef self_type NonInteger; // Not correct but we can't do much better?? typedef double Literal; typedef self_type Nested; enum { IsComplex = boost::multiprecision::number_category<self_type>::value == boost::multiprecision::number_kind_complex, IsInteger = boost::multiprecision::number_category<self_type>::value == boost::multiprecision::number_kind_integer, ReadCost = 1, AddCost = 4, MulCost = 8, IsSigned = std::numeric_limits<self_type>::is_specialized ? std::numeric_limits<self_type>::is_signed : true, RequireInitialization = 1, }; static Real epsilon() { return std::numeric_limits<Real>::epsilon(); } static Real dummy_precision() { return 1000 * epsilon(); } static Real highest() { return (std::numeric_limits<Real>::max)(); } static Real lowest() { return (std::numeric_limits<Real>::min)(); } static int digits10_imp(const boost::mpl::true_&) { return std::numeric_limits<Real>::digits10; } template <bool B> static int digits10_imp(const boost::mpl::bool_<B>&) { return Real::default_precision(); } static int digits10() { return digits10_imp(boost::mpl::bool_<std::numeric_limits<Real>::digits10 && (std::numeric_limits<Real>::digits10 != INT_MAX) ? true : false>()); } }; template <class tag, class Arg1, class Arg2, class Arg3, class Arg4> struct NumTraits<boost::multiprecision::detail::expression<tag, Arg1, Arg2, Arg3, Arg4> > : public NumTraits<typename boost::multiprecision::detail::expression<tag, Arg1, Arg2, Arg3, Arg4>::result_type> { }; #define BOOST_MP_EIGEN_SCALAR_TRAITS_DECL(A)\ template<class Backend, boost::multiprecision::expression_template_option ExpressionTemplates, typename BinaryOp>\ struct ScalarBinaryOpTraits<boost::multiprecision::number<Backend, ExpressionTemplates>, A, BinaryOp>\ {\ /*static_assert(boost::multiprecision::is_compatible_arithmetic_type<A, boost::multiprecision::number<Backend, ExpressionTemplates> >::value, "Interoperability with this arithmetic type is not supported.");*/\ typedef boost::multiprecision::number<Backend, ExpressionTemplates> ReturnType;\ };\ template<class Backend, boost::multiprecision::expression_template_option ExpressionTemplates, typename BinaryOp>\ struct ScalarBinaryOpTraits<A, boost::multiprecision::number<Backend, ExpressionTemplates>, BinaryOp>\ {\ /*static_assert(boost::multiprecision::is_compatible_arithmetic_type<A, boost::multiprecision::number<Backend, ExpressionTemplates> >::value, "Interoperability with this arithmetic type is not supported.");*/\ typedef boost::multiprecision::number<Backend, ExpressionTemplates> ReturnType;\ };\ BOOST_MP_EIGEN_SCALAR_TRAITS_DECL(float) BOOST_MP_EIGEN_SCALAR_TRAITS_DECL(double) BOOST_MP_EIGEN_SCALAR_TRAITS_DECL(long double) BOOST_MP_EIGEN_SCALAR_TRAITS_DECL(char) BOOST_MP_EIGEN_SCALAR_TRAITS_DECL(unsigned char) BOOST_MP_EIGEN_SCALAR_TRAITS_DECL(signed char) BOOST_MP_EIGEN_SCALAR_TRAITS_DECL(short) BOOST_MP_EIGEN_SCALAR_TRAITS_DECL(unsigned short) BOOST_MP_EIGEN_SCALAR_TRAITS_DECL(int) BOOST_MP_EIGEN_SCALAR_TRAITS_DECL(unsigned int) BOOST_MP_EIGEN_SCALAR_TRAITS_DECL(long) BOOST_MP_EIGEN_SCALAR_TRAITS_DECL(unsigned long) #if 0 template<class Backend, boost::multiprecision::expression_template_option ExpressionTemplates, class Backend2, boost::multiprecision::expression_template_option ExpressionTemplates2, typename BinaryOp> struct ScalarBinaryOpTraits<boost::multiprecision::number<Backend, ExpressionTemplates>, boost::multiprecision::number<Backend2, ExpressionTemplates2>, BinaryOp> { static_assert( boost::multiprecision::is_compatible_arithmetic_type<boost::multiprecision::number<Backend2, ExpressionTemplates2>, boost::multiprecision::number<Backend, ExpressionTemplates> >::value || boost::multiprecision::is_compatible_arithmetic_type<boost::multiprecision::number<Backend, ExpressionTemplates>, boost::multiprecision::number<Backend2, ExpressionTemplates2> >::value, "Interoperability with this arithmetic type is not supported."); typedef typename boost::mpl::if_c<boost::is_convertible<boost::multiprecision::number<Backend2, ExpressionTemplates2>, boost::multiprecision::number<Backend, ExpressionTemplates> >::value, boost::multiprecision::number<Backend, ExpressionTemplates>, boost::multiprecision::number<Backend2, ExpressionTemplates2> >::type ReturnType; }; template<unsigned D, typename BinaryOp> struct ScalarBinaryOpTraits<boost::multiprecision::number<boost::multiprecision::backends::mpc_complex_backend<D>, boost::multiprecision::et_on>, boost::multiprecision::mpfr_float, BinaryOp> { typedef boost::multiprecision::number<boost::multiprecision::backends::mpc_complex_backend<D>, boost::multiprecision::et_on> ReturnType; }; template<typename BinaryOp> struct ScalarBinaryOpTraits<boost::multiprecision::mpfr_float, boost::multiprecision::mpc_complex, BinaryOp> { typedef boost::multiprecision::number<boost::multiprecision::backends::mpc_complex_backend<0>, boost::multiprecision::et_on> ReturnType; }; template<class Backend, boost::multiprecision::expression_template_option ExpressionTemplates, typename BinaryOp> struct ScalarBinaryOpTraits<boost::multiprecision::number<Backend, ExpressionTemplates>, boost::multiprecision::number<Backend, ExpressionTemplates>, BinaryOp> { typedef boost::multiprecision::number<Backend, ExpressionTemplates> ReturnType; }; #endif template<class Backend, boost::multiprecision::expression_template_option ExpressionTemplates, class tag, class Arg1, class Arg2, class Arg3, class Arg4, typename BinaryOp> struct ScalarBinaryOpTraits<boost::multiprecision::number<Backend, ExpressionTemplates>, boost::multiprecision::detail::expression<tag, Arg1, Arg2, Arg3, Arg4>, BinaryOp> { static_assert(boost::is_convertible<typename boost::multiprecision::detail::expression<tag, Arg1, Arg2, Arg3, Arg4>::result_type, boost::multiprecision::number<Backend, ExpressionTemplates> >::value, "Interoperability with this arithmetic type is not supported."); typedef boost::multiprecision::number<Backend, ExpressionTemplates> ReturnType; }; template<class tag, class Arg1, class Arg2, class Arg3, class Arg4, class Backend, boost::multiprecision::expression_template_option ExpressionTemplates, typename BinaryOp> struct ScalarBinaryOpTraits<boost::multiprecision::detail::expression<tag, Arg1, Arg2, Arg3, Arg4>, boost::multiprecision::number<Backend, ExpressionTemplates>, BinaryOp> { static_assert(boost::is_convertible<typename boost::multiprecision::detail::expression<tag, Arg1, Arg2, Arg3, Arg4>::result_type, boost::multiprecision::number<Backend, ExpressionTemplates> >::value, "Interoperability with this arithmetic type is not supported."); typedef boost::multiprecision::number<Backend, ExpressionTemplates> ReturnType; }; namespace internal { template<typename Scalar> struct conj_retval; template<typename Scalar, bool IsComplex> struct conj_impl; template<class tag, class Arg1, class Arg2, class Arg3, class Arg4> struct conj_retval<boost::multiprecision::detail::expression<tag, Arg1, Arg2, Arg3, Arg4> > { typedef typename boost::multiprecision::detail::expression<tag, Arg1, Arg2, Arg3, Arg4>::result_type type; }; template<class tag, class Arg1, class Arg2, class Arg3, class Arg4> struct conj_impl<boost::multiprecision::detail::expression<tag, Arg1, Arg2, Arg3, Arg4>, true> { EIGEN_DEVICE_FUNC static inline typename boost::multiprecision::detail::expression<tag, Arg1, Arg2, Arg3, Arg4>::result_type run(const typename boost::multiprecision::detail::expression<tag, Arg1, Arg2, Arg3, Arg4>& x) { return conj(x); } }; } } #endif