327 lines
10 KiB
C++
327 lines
10 KiB
C++
///////////////////////////////////////////////////////////////
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// Copyright 2011 John Maddock. Distributed under the Boost
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// Software License, Version 1.0. (See accompanying file
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// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
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#ifndef BOOST_MATH_RATIONAL_ADAPTER_HPP
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#define BOOST_MATH_RATIONAL_ADAPTER_HPP
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#include <iostream>
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#include <iomanip>
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#include <sstream>
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#include <boost/cstdint.hpp>
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#include <boost/multiprecision/number.hpp>
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#ifdef BOOST_MSVC
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# pragma warning(push)
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# pragma warning(disable:4512 4127)
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#endif
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#include <boost/rational.hpp>
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#ifdef BOOST_MSVC
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# pragma warning(pop)
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#endif
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namespace boost{
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namespace multiprecision{
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namespace backends{
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template <class IntBackend>
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struct rational_adaptor
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{
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typedef number<IntBackend> integer_type;
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typedef boost::rational<integer_type> rational_type;
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typedef typename IntBackend::signed_types signed_types;
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typedef typename IntBackend::unsigned_types unsigned_types;
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typedef typename IntBackend::float_types float_types;
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rational_adaptor(){}
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rational_adaptor(const rational_adaptor& o)
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{
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m_value = o.m_value;
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}
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rational_adaptor(const IntBackend& o) : m_value(o) {}
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template <class U>
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rational_adaptor(const U& u, typename enable_if_c<is_convertible<U, IntBackend>::value>::type* = 0)
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: m_value(IntBackend(u)){}
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template <class U>
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explicit rational_adaptor(const U& u,
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typename enable_if_c<
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boost::multiprecision::detail::is_explicitly_convertible<U, IntBackend>::value && !is_convertible<U, IntBackend>::value
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>::type* = 0)
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: m_value(IntBackend(u)){}
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template <class U>
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typename enable_if_c<(boost::multiprecision::detail::is_explicitly_convertible<U, IntBackend>::value && !is_arithmetic<U>::value), rational_adaptor&>::type operator = (const U& u)
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{
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m_value = IntBackend(u);
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}
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#ifndef BOOST_NO_CXX11_RVALUE_REFERENCES
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rational_adaptor(rational_adaptor&& o) : m_value(o.m_value) {}
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rational_adaptor(IntBackend&& o) : m_value(o) {}
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rational_adaptor& operator = (rational_adaptor&& o)
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{
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m_value = static_cast<rational_type&&>(o.m_value);
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return *this;
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}
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#endif
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rational_adaptor& operator = (const rational_adaptor& o)
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{
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m_value = o.m_value;
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return *this;
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}
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rational_adaptor& operator = (const IntBackend& o)
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{
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m_value = o;
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return *this;
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}
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template <class Int>
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typename enable_if<is_integral<Int>, rational_adaptor&>::type operator = (Int i)
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{
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m_value = i;
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return *this;
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}
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template <class Float>
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typename enable_if<is_floating_point<Float>, rational_adaptor&>::type operator = (Float i)
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{
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int e;
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Float f = std::frexp(i, &e);
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f = std::ldexp(f, std::numeric_limits<Float>::digits);
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e -= std::numeric_limits<Float>::digits;
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integer_type num(f);
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integer_type denom(1u);
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if(e > 0)
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{
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num <<= e;
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}
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else if(e < 0)
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{
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denom <<= -e;
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}
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m_value.assign(num, denom);
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return *this;
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}
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rational_adaptor& operator = (const char* s)
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{
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std::string s1;
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multiprecision::number<IntBackend> v1, v2;
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char c;
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bool have_hex = false;
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const char* p = s; // saved for later
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while((0 != (c = *s)) && (c == 'x' || c == 'X' || c == '-' || c == '+' || (c >= '0' && c <= '9') || (have_hex && (c >= 'a' && c <= 'f')) || (have_hex && (c >= 'A' && c <= 'F'))))
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{
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if(c == 'x' || c == 'X')
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have_hex = true;
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s1.append(1, c);
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++s;
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}
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v1.assign(s1);
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s1.erase();
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if(c == '/')
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{
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++s;
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while((0 != (c = *s)) && (c == 'x' || c == 'X' || c == '-' || c == '+' || (c >= '0' && c <= '9') || (have_hex && (c >= 'a' && c <= 'f')) || (have_hex && (c >= 'A' && c <= 'F'))))
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{
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if(c == 'x' || c == 'X')
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have_hex = true;
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s1.append(1, c);
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++s;
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}
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v2.assign(s1);
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}
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else
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v2 = 1;
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if(*s)
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{
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BOOST_THROW_EXCEPTION(std::runtime_error(std::string("Could parse the string \"") + p + std::string("\" as a valid rational number.")));
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}
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data().assign(v1, v2);
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return *this;
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}
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void swap(rational_adaptor& o)
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{
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std::swap(m_value, o.m_value);
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}
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std::string str(std::streamsize digits, std::ios_base::fmtflags f)const
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{
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//
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// We format the string ourselves so we can match what GMP's mpq type does:
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//
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std::string result = data().numerator().str(digits, f);
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if(data().denominator() != 1)
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{
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result.append(1, '/');
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result.append(data().denominator().str(digits, f));
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}
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return result;
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}
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void negate()
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{
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m_value = -m_value;
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}
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int compare(const rational_adaptor& o)const
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{
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return m_value > o.m_value ? 1 : (m_value < o.m_value ? -1 : 0);
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}
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template <class Arithmatic>
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typename enable_if<is_arithmetic<Arithmatic>, int>::type compare(Arithmatic i)const
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{
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return m_value > i ? 1 : (m_value < i ? -1 : 0);
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}
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rational_type& data() { return m_value; }
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const rational_type& data()const { return m_value; }
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template <class Archive>
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void serialize(Archive& ar, const mpl::true_&)
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{
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// Saving
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integer_type n(m_value.numerator()), d(m_value.denominator());
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ar & n;
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ar & d;
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}
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template <class Archive>
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void serialize(Archive& ar, const mpl::false_&)
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{
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// Loading
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integer_type n, d;
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ar & n;
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ar & d;
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m_value.assign(n, d);
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}
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template <class Archive>
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void serialize(Archive& ar, const unsigned int /*version*/)
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{
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typedef typename Archive::is_saving tag;
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serialize(ar, tag());
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}
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private:
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rational_type m_value;
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};
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template <class IntBackend>
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inline void eval_add(rational_adaptor<IntBackend>& result, const rational_adaptor<IntBackend>& o)
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{
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result.data() += o.data();
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}
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template <class IntBackend>
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inline void eval_subtract(rational_adaptor<IntBackend>& result, const rational_adaptor<IntBackend>& o)
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{
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result.data() -= o.data();
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}
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template <class IntBackend>
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inline void eval_multiply(rational_adaptor<IntBackend>& result, const rational_adaptor<IntBackend>& o)
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{
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result.data() *= o.data();
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}
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template <class IntBackend>
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inline void eval_divide(rational_adaptor<IntBackend>& result, const rational_adaptor<IntBackend>& o)
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{
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using default_ops::eval_is_zero;
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if(eval_is_zero(o))
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{
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BOOST_THROW_EXCEPTION(std::overflow_error("Divide by zero."));
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}
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result.data() /= o.data();
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}
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template <class R, class IntBackend>
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inline void eval_convert_to(R* result, const rational_adaptor<IntBackend>& backend)
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{
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*result = backend.data().numerator().template convert_to<R>();
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*result /= backend.data().denominator().template convert_to<R>();
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}
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template <class IntBackend>
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inline bool eval_is_zero(const rational_adaptor<IntBackend>& val)
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{
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return eval_is_zero(val.data().numerator().backend());
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}
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template <class IntBackend>
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inline int eval_get_sign(const rational_adaptor<IntBackend>& val)
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{
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return eval_get_sign(val.data().numerator().backend());
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}
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template<class IntBackend, class V>
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inline void assign_components(rational_adaptor<IntBackend>& result, const V& v1, const V& v2)
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{
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result.data().assign(v1, v2);
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}
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} // namespace backends
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template<class IntBackend>
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struct expression_template_default<backends::rational_adaptor<IntBackend> > : public expression_template_default<IntBackend> {};
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template<class IntBackend>
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struct number_category<backends::rational_adaptor<IntBackend> > : public mpl::int_<number_kind_rational>{};
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using boost::multiprecision::backends::rational_adaptor;
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template <class T>
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struct component_type<rational_adaptor<T> >
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{
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typedef number<T> type;
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};
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template <class IntBackend, expression_template_option ET>
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inline number<IntBackend, ET> numerator(const number<rational_adaptor<IntBackend>, ET>& val)
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{
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return val.backend().data().numerator();
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}
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template <class IntBackend, expression_template_option ET>
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inline number<IntBackend, ET> denominator(const number<rational_adaptor<IntBackend>, ET>& val)
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{
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return val.backend().data().denominator();
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}
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#ifdef BOOST_NO_SFINAE_EXPR
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namespace detail{
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template<class U, class IntBackend>
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struct is_explicitly_convertible<U, rational_adaptor<IntBackend> > : public is_explicitly_convertible<U, IntBackend> {};
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}
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#endif
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}} // namespaces
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namespace std{
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template <class IntBackend, boost::multiprecision::expression_template_option ExpressionTemplates>
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class numeric_limits<boost::multiprecision::number<boost::multiprecision::rational_adaptor<IntBackend>, ExpressionTemplates> > : public std::numeric_limits<boost::multiprecision::number<IntBackend, ExpressionTemplates> >
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{
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typedef std::numeric_limits<boost::multiprecision::number<IntBackend> > base_type;
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typedef boost::multiprecision::number<boost::multiprecision::rational_adaptor<IntBackend> > number_type;
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public:
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BOOST_STATIC_CONSTEXPR bool is_integer = false;
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BOOST_STATIC_CONSTEXPR bool is_exact = true;
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BOOST_STATIC_CONSTEXPR number_type (min)() { return (base_type::min)(); }
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BOOST_STATIC_CONSTEXPR number_type (max)() { return (base_type::max)(); }
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BOOST_STATIC_CONSTEXPR number_type lowest() { return -(max)(); }
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BOOST_STATIC_CONSTEXPR number_type epsilon() { return base_type::epsilon(); }
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BOOST_STATIC_CONSTEXPR number_type round_error() { return epsilon() / 2; }
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BOOST_STATIC_CONSTEXPR number_type infinity() { return base_type::infinity(); }
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BOOST_STATIC_CONSTEXPR number_type quiet_NaN() { return base_type::quiet_NaN(); }
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BOOST_STATIC_CONSTEXPR number_type signaling_NaN() { return base_type::signaling_NaN(); }
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BOOST_STATIC_CONSTEXPR number_type denorm_min() { return base_type::denorm_min(); }
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};
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#ifndef BOOST_NO_INCLASS_MEMBER_INITIALIZATION
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template <class IntBackend, boost::multiprecision::expression_template_option ExpressionTemplates>
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BOOST_CONSTEXPR_OR_CONST bool numeric_limits<boost::multiprecision::number<boost::multiprecision::rational_adaptor<IntBackend>, ExpressionTemplates> >::is_integer;
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template <class IntBackend, boost::multiprecision::expression_template_option ExpressionTemplates>
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BOOST_CONSTEXPR_OR_CONST bool numeric_limits<boost::multiprecision::number<boost::multiprecision::rational_adaptor<IntBackend>, ExpressionTemplates> >::is_exact;
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#endif
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}
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#endif
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