ceph/src/boost/boost/multiprecision/eigen.hpp

   1 ///////////////////////////////////////////////////////////////////////////////
   2 //  Copyright 2018 John Maddock. Distributed under the Boost
   3 //  Software License, Version 1.0. (See accompanying file
   4 //  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
   5
   6 #ifndef BOOST_MP_EIGEN_HPP
   7 #define BOOST_MP_EIGEN_HPP
   8
   9 #include <boost/multiprecision/number.hpp>
  10 #include <Eigen/Core>
  11
  12 //
  13 // Generic Eigen support code:
  14 //
  15 namespace Eigen {
  16 template <class Backend, boost::multiprecision::expression_template_option ExpressionTemplates>
  17 struct NumTraits<boost::multiprecision::number<Backend, ExpressionTemplates> >
  18 {
  19    typedef boost::multiprecision::number<Backend, ExpressionTemplates>                          self_type;
  20    typedef typename boost::multiprecision::scalar_result_from_possible_complex<self_type>::type Real;
  21    typedef self_type                                                                            NonInteger; // Not correct but we can't do much better??
  22    typedef double                                                                               Literal;
  23    typedef self_type                                                                            Nested;
  24    enum
  25    {
  26       IsComplex             = boost::multiprecision::number_category<self_type>::value == boost::multiprecision::number_kind_complex,
  27       IsInteger             = boost::multiprecision::number_category<self_type>::value == boost::multiprecision::number_kind_integer,
  28       ReadCost              = 1,
  29       AddCost               = 4,
  30       MulCost               = 8,
  31       IsSigned              = std::numeric_limits<self_type>::is_specialized ? std::numeric_limits<self_type>::is_signed : true,
  32       RequireInitialization = 1,
  33    };
  34    static Real epsilon()
  35    {
  36       return std::numeric_limits<Real>::epsilon();
  37    }
  38    static Real dummy_precision()
  39    {
  40       return 1000 * epsilon();
  41    }
  42    static Real highest()
  43    {
  44       return (std::numeric_limits<Real>::max)();
  45    }
  46    static Real lowest()
  47    {
  48       return (std::numeric_limits<Real>::min)();
  49    }
  50    static int digits10_imp(const boost::mpl::true_&)
  51    {
  52       return std::numeric_limits<Real>::digits10;
  53    }
  54    template <bool B>
  55    static int digits10_imp(const boost::mpl::bool_<B>&)
  56    {
  57       return Real::default_precision();
  58    }
  59    static int digits10()
  60    {
  61       return digits10_imp(boost::mpl::bool_ < std::numeric_limits<Real>::digits10 && (std::numeric_limits<Real>::digits10 != INT_MAX) ? true : false > ());
  62    }
  63 };
  64 template <class tag, class Arg1, class Arg2, class Arg3, class Arg4>
  65 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>
  66 {
  67 };
  68
  69 #define BOOST_MP_EIGEN_SCALAR_TRAITS_DECL(A)                                                                                                                                                                           \
  70    template <class Backend, boost::multiprecision::expression_template_option ExpressionTemplates, typename BinaryOp>                                                                                                  \
  71    struct ScalarBinaryOpTraits<boost::multiprecision::number<Backend, ExpressionTemplates>, A, BinaryOp>                                                                                                               \
  72    {                                                                                                                                                                                                                   \
  73       /*static_assert(boost::multiprecision::is_compatible_arithmetic_type<A, boost::multiprecision::number<Backend, ExpressionTemplates> >::value, "Interoperability with this arithmetic type is not supported.");*/ \
  74       typedef boost::multiprecision::number<Backend, ExpressionTemplates> ReturnType;                                                                                                                                  \
  75    };                                                                                                                                                                                                                  \
  76    template <class Backend, boost::multiprecision::expression_template_option ExpressionTemplates, typename BinaryOp>                                                                                                  \
  77    struct ScalarBinaryOpTraits<A, boost::multiprecision::number<Backend, ExpressionTemplates>, BinaryOp>                                                                                                               \
  78    {                                                                                                                                                                                                                   \
  79       /*static_assert(boost::multiprecision::is_compatible_arithmetic_type<A, boost::multiprecision::number<Backend, ExpressionTemplates> >::value, "Interoperability with this arithmetic type is not supported.");*/ \
  80       typedef boost::multiprecision::number<Backend, ExpressionTemplates> ReturnType;                                                                                                                                  \
  81    };
  82
  83 BOOST_MP_EIGEN_SCALAR_TRAITS_DECL(float)
  84 BOOST_MP_EIGEN_SCALAR_TRAITS_DECL(double)
  85 BOOST_MP_EIGEN_SCALAR_TRAITS_DECL(long double)
  86 BOOST_MP_EIGEN_SCALAR_TRAITS_DECL(char)
  87 BOOST_MP_EIGEN_SCALAR_TRAITS_DECL(unsigned char)
  88 BOOST_MP_EIGEN_SCALAR_TRAITS_DECL(signed char)
  89 BOOST_MP_EIGEN_SCALAR_TRAITS_DECL(short)
  90 BOOST_MP_EIGEN_SCALAR_TRAITS_DECL(unsigned short)
  91 BOOST_MP_EIGEN_SCALAR_TRAITS_DECL(int)
  92 BOOST_MP_EIGEN_SCALAR_TRAITS_DECL(unsigned int)
  93 BOOST_MP_EIGEN_SCALAR_TRAITS_DECL(long)
  94 BOOST_MP_EIGEN_SCALAR_TRAITS_DECL(unsigned long)
  95
  96 #if 0
  97       template<class Backend, boost::multiprecision::expression_template_option ExpressionTemplates, class Backend2, boost::multiprecision::expression_template_option ExpressionTemplates2, typename BinaryOp>
  98    struct ScalarBinaryOpTraits<boost::multiprecision::number<Backend, ExpressionTemplates>, boost::multiprecision::number<Backend2, ExpressionTemplates2>, BinaryOp>
  99    {
 100       static_assert(
 101          boost::multiprecision::is_compatible_arithmetic_type<boost::multiprecision::number<Backend2, ExpressionTemplates2>, boost::multiprecision::number<Backend, ExpressionTemplates> >::value
 102          || 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.");
 103       typedef typename boost::mpl::if_c<boost::is_convertible<boost::multiprecision::number<Backend2, ExpressionTemplates2>, boost::multiprecision::number<Backend, ExpressionTemplates> >::value,
 104          boost::multiprecision::number<Backend, ExpressionTemplates>, boost::multiprecision::number<Backend2, ExpressionTemplates2> >::type ReturnType;
 105    };
 106
 107    template<unsigned D, typename BinaryOp>
 108    struct ScalarBinaryOpTraits<boost::multiprecision::number<boost::multiprecision::backends::mpc_complex_backend<D>, boost::multiprecision::et_on>, boost::multiprecision::mpfr_float, BinaryOp>
 109    {
 110       typedef boost::multiprecision::number<boost::multiprecision::backends::mpc_complex_backend<D>, boost::multiprecision::et_on> ReturnType;
 111    };
 112
 113    template<typename BinaryOp>
 114    struct ScalarBinaryOpTraits<boost::multiprecision::mpfr_float, boost::multiprecision::mpc_complex, BinaryOp>
 115    {
 116       typedef boost::multiprecision::number<boost::multiprecision::backends::mpc_complex_backend<0>, boost::multiprecision::et_on> ReturnType;
 117    };
 118
 119    template<class Backend, boost::multiprecision::expression_template_option ExpressionTemplates, typename BinaryOp>
 120    struct ScalarBinaryOpTraits<boost::multiprecision::number<Backend, ExpressionTemplates>, boost::multiprecision::number<Backend, ExpressionTemplates>, BinaryOp>
 121    {
 122       typedef boost::multiprecision::number<Backend, ExpressionTemplates> ReturnType;
 123    };
 124 #endif
 125
 126 template <class Backend, boost::multiprecision::expression_template_option ExpressionTemplates, class tag, class Arg1, class Arg2, class Arg3, class Arg4, typename BinaryOp>
 127 struct ScalarBinaryOpTraits<boost::multiprecision::number<Backend, ExpressionTemplates>, boost::multiprecision::detail::expression<tag, Arg1, Arg2, Arg3, Arg4>, BinaryOp>
 128 {
 129    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.");
 130    typedef boost::multiprecision::number<Backend, ExpressionTemplates> ReturnType;
 131 };
 132
 133 template <class tag, class Arg1, class Arg2, class Arg3, class Arg4, class Backend, boost::multiprecision::expression_template_option ExpressionTemplates, typename BinaryOp>
 134 struct ScalarBinaryOpTraits<boost::multiprecision::detail::expression<tag, Arg1, Arg2, Arg3, Arg4>, boost::multiprecision::number<Backend, ExpressionTemplates>, BinaryOp>
 135 {
 136    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.");
 137    typedef boost::multiprecision::number<Backend, ExpressionTemplates> ReturnType;
 138 };
 139
 140 namespace internal {
 141 template <typename Scalar>
 142 struct conj_retval;
 143
 144 template <typename Scalar, bool IsComplex>
 145 struct conj_impl;
 146
 147 template <class tag, class Arg1, class Arg2, class Arg3, class Arg4>
 148 struct conj_retval<boost::multiprecision::detail::expression<tag, Arg1, Arg2, Arg3, Arg4> >
 149 {
 150    typedef typename boost::multiprecision::detail::expression<tag, Arg1, Arg2, Arg3, Arg4>::result_type type;
 151 };
 152
 153 template <class tag, class Arg1, class Arg2, class Arg3, class Arg4>
 154 struct conj_impl<boost::multiprecision::detail::expression<tag, Arg1, Arg2, Arg3, Arg4>, true>
 155 {
 156    EIGEN_DEVICE_FUNC
 157    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)
 158    {
 159       return conj(x);
 160    }
 161 };
 162
 163 } // namespace internal
 164
 165 } // namespace Eigen
 166
 167 #endif