feat():initial version
This commit is contained in:
16
install/boost_1_75_0/include/boost/integer/common_factor.hpp
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16
install/boost_1_75_0/include/boost/integer/common_factor.hpp
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// Boost common_factor.hpp header file -------------------------------------//
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// (C) Copyright Daryle Walker 2001-2002.
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// Distributed under the Boost Software License, Version 1.0. (See
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// accompanying file LICENSE_1_0.txt or copy at
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// http://www.boost.org/LICENSE_1_0.txt)
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// See http://www.boost.org for updates, documentation, and revision history.
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#ifndef BOOST_INTEGER_COMMON_FACTOR_HPP
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#define BOOST_INTEGER_COMMON_FACTOR_HPP
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#include <boost/integer/common_factor_ct.hpp>
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#include <boost/integer/common_factor_rt.hpp>
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#endif // BOOST_INTEGER_COMMON_FACTOR_HPP
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102
install/boost_1_75_0/include/boost/integer/common_factor_ct.hpp
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102
install/boost_1_75_0/include/boost/integer/common_factor_ct.hpp
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// Boost common_factor_ct.hpp header file ----------------------------------//
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// (C) Copyright Daryle Walker and Stephen Cleary 2001-2002.
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// Distributed under the Boost Software License, Version 1.0. (See
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// accompanying file LICENSE_1_0.txt or copy at
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// http://www.boost.org/LICENSE_1_0.txt)
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// See http://www.boost.org for updates, documentation, and revision history.
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#ifndef BOOST_INTEGER_COMMON_FACTOR_CT_HPP
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#define BOOST_INTEGER_COMMON_FACTOR_CT_HPP
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#include <boost/integer_fwd.hpp> // self include
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#include <boost/config.hpp> // for BOOST_STATIC_CONSTANT, etc.
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namespace boost
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{
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namespace integer
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{
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// Implementation details --------------------------------------------------//
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namespace detail
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{
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// Build GCD with Euclid's recursive algorithm
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template < static_gcd_type Value1, static_gcd_type Value2 >
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struct static_gcd_helper_t
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{
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private:
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BOOST_STATIC_CONSTANT( static_gcd_type, new_value1 = Value2 );
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BOOST_STATIC_CONSTANT( static_gcd_type, new_value2 = Value1 % Value2 );
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#ifndef BOOST_BORLANDC
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#define BOOST_DETAIL_GCD_HELPER_VAL(Value) static_cast<static_gcd_type>(Value)
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#else
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typedef static_gcd_helper_t self_type;
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#define BOOST_DETAIL_GCD_HELPER_VAL(Value) (self_type:: Value )
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#endif
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typedef static_gcd_helper_t< BOOST_DETAIL_GCD_HELPER_VAL(new_value1),
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BOOST_DETAIL_GCD_HELPER_VAL(new_value2) > next_step_type;
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#undef BOOST_DETAIL_GCD_HELPER_VAL
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public:
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BOOST_STATIC_CONSTANT( static_gcd_type, value = next_step_type::value );
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};
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// Non-recursive case
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template < static_gcd_type Value1 >
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struct static_gcd_helper_t< Value1, 0UL >
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{
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BOOST_STATIC_CONSTANT( static_gcd_type, value = Value1 );
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};
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// Build the LCM from the GCD
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template < static_gcd_type Value1, static_gcd_type Value2 >
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struct static_lcm_helper_t
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{
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typedef static_gcd_helper_t<Value1, Value2> gcd_type;
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BOOST_STATIC_CONSTANT( static_gcd_type, value = Value1 / gcd_type::value
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* Value2 );
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};
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// Special case for zero-GCD values
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template < >
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struct static_lcm_helper_t< 0UL, 0UL >
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{
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BOOST_STATIC_CONSTANT( static_gcd_type, value = 0UL );
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};
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} // namespace detail
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// Compile-time greatest common divisor evaluator class declaration --------//
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template < static_gcd_type Value1, static_gcd_type Value2 > struct static_gcd
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{
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BOOST_STATIC_CONSTANT( static_gcd_type, value = (detail::static_gcd_helper_t<Value1, Value2>::value) );
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}; // boost::integer::static_gcd
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#if !defined(BOOST_NO_INCLASS_MEMBER_INITIALIZATION)
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template< static_gcd_type Value1, static_gcd_type Value2 > static_gcd_type const static_gcd< Value1, Value2 >::value;
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#endif
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// Compile-time least common multiple evaluator class declaration ----------//
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template < static_gcd_type Value1, static_gcd_type Value2 > struct static_lcm
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{
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BOOST_STATIC_CONSTANT( static_gcd_type, value = (detail::static_lcm_helper_t<Value1, Value2>::value) );
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}; // boost::integer::static_lcm
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#if !defined(BOOST_NO_INCLASS_MEMBER_INITIALIZATION)
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template< static_gcd_type Value1, static_gcd_type Value2 > static_gcd_type const static_lcm< Value1, Value2 >::value;
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#endif
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} // namespace integer
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} // namespace boost
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#endif // BOOST_INTEGER_COMMON_FACTOR_CT_HPP
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580
install/boost_1_75_0/include/boost/integer/common_factor_rt.hpp
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580
install/boost_1_75_0/include/boost/integer/common_factor_rt.hpp
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@@ -0,0 +1,580 @@
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// (C) Copyright Jeremy William Murphy 2016.
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// Use, modification and distribution are subject to the
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// Boost 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_0.txt)
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#ifndef BOOST_INTEGER_COMMON_FACTOR_RT_HPP
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#define BOOST_INTEGER_COMMON_FACTOR_RT_HPP
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#include <boost/assert.hpp>
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#include <boost/core/enable_if.hpp>
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#include <boost/config.hpp> // for BOOST_NESTED_TEMPLATE, etc.
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#include <boost/limits.hpp> // for std::numeric_limits
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#include <climits> // for CHAR_MIN
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#include <boost/detail/workaround.hpp>
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#include <iterator>
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#include <algorithm>
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#include <limits>
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#ifndef BOOST_NO_CXX11_HDR_TYPE_TRAITS
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#include <type_traits>
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#endif
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#ifdef BOOST_NO_CXX11_HDR_FUNCTIONAL
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#include <functional>
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#endif
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#if ((defined(BOOST_MSVC) && (BOOST_MSVC >= 1600)) || (defined(__clang__) && defined(__c2__)) || (defined(BOOST_INTEL) && defined(_MSC_VER))) && (defined(_M_IX86) || defined(_M_X64))
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#include <intrin.h>
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#endif
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#ifdef BOOST_MSVC
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#pragma warning(push)
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#pragma warning(disable:4127 4244) // Conditional expression is constant
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#endif
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#if !defined(BOOST_NO_CXX11_HDR_TYPE_TRAITS) && !defined(BOOST_NO_CXX11_NOEXCEPT)
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#define BOOST_GCD_NOEXCEPT(T) noexcept(std::is_arithmetic<T>::value)
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#else
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#define BOOST_GCD_NOEXCEPT(T)
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#endif
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namespace boost {
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template <class I>
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class rational;
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namespace integer {
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namespace gcd_detail{
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//
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// some helper functions which really should be constexpr already, but sadly aren't:
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//
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#ifndef BOOST_NO_CXX14_CONSTEXPR
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template <class T>
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inline constexpr T constexpr_min(T const& a, T const& b) BOOST_GCD_NOEXCEPT(T)
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{
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return a < b ? a : b;
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}
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template <class T>
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inline constexpr auto constexpr_swap(T&a, T& b) BOOST_GCD_NOEXCEPT(T) -> decltype(a.swap(b))
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{
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return a.swap(b);
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}
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template <class T, class U>
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inline constexpr void constexpr_swap(T&a, U& b...) BOOST_GCD_NOEXCEPT(T)
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{
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T t(static_cast<T&&>(a));
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a = static_cast<T&&>(b);
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b = static_cast<T&&>(t);
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}
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#else
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template <class T>
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inline T constexpr_min(T const& a, T const& b) BOOST_GCD_NOEXCEPT(T)
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{
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return a < b ? a : b;
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}
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template <class T>
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inline void constexpr_swap(T&a, T& b) BOOST_GCD_NOEXCEPT(T)
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{
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using std::swap;
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swap(a, b);
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}
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#endif
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template <class T, bool a =
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#ifndef BOOST_NO_CXX11_HDR_TYPE_TRAITS
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std::is_unsigned<T>::value ||
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#endif
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(std::numeric_limits<T>::is_specialized && !std::numeric_limits<T>::is_signed)>
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struct gcd_traits_abs_defaults
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{
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inline static BOOST_CXX14_CONSTEXPR const T& abs(const T& val) BOOST_GCD_NOEXCEPT(T) { return val; }
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};
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template <class T>
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struct gcd_traits_abs_defaults<T, false>
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{
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inline static T BOOST_CXX14_CONSTEXPR abs(const T& val) BOOST_GCD_NOEXCEPT(T)
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{
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// This sucks, but std::abs is not constexpr :(
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return val < T(0) ? -val : val;
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}
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};
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enum method_type
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{
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method_euclid = 0,
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method_binary = 1,
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method_mixed = 2
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};
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struct any_convert
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{
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template <class T>
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any_convert(const T&);
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};
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struct unlikely_size
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{
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char buf[9973];
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};
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unlikely_size operator <<= (any_convert, any_convert);
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unlikely_size operator >>= (any_convert, any_convert);
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template <class T>
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struct gcd_traits_defaults : public gcd_traits_abs_defaults<T>
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{
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BOOST_FORCEINLINE static BOOST_CXX14_CONSTEXPR unsigned make_odd(T& val) BOOST_GCD_NOEXCEPT(T)
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{
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unsigned r = 0;
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while (T(0) == (val & 1u))
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{
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#ifdef _MSC_VER // VC++ can't handle operator >>= in constexpr code for some reason
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val = val >> 1;
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#else
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val >>= 1;
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#endif
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++r;
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}
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return r;
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}
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inline static BOOST_CXX14_CONSTEXPR bool less(const T& a, const T& b) BOOST_GCD_NOEXCEPT(T)
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||||
{
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return a < b;
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}
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static T& get_value();
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#ifndef BOOST_NO_SFINAE
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static const bool has_operator_left_shift_equal = sizeof(get_value() <<= 2) != sizeof(unlikely_size);
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static const bool has_operator_right_shift_equal = sizeof(get_value() >>= 2) != sizeof(unlikely_size);
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#else
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static const bool has_operator_left_shift_equal = true;
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static const bool has_operator_right_shift_equal = true;
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#endif
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static const method_type method = std::numeric_limits<T>::is_specialized && std::numeric_limits<T>::is_integer && has_operator_left_shift_equal && has_operator_right_shift_equal ? method_mixed : method_euclid;
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||||
};
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||||
//
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// Default gcd_traits just inherits from defaults:
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//
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template <class T>
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struct gcd_traits : public gcd_traits_defaults<T> {};
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||||
|
||||
//
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||||
// Some platforms have fast bitscan operations, that allow us to implement
|
||||
// make_odd much more efficiently, unfortunately we can't use these if we want
|
||||
// the functions to be constexpr as the compiler intrinsics aren't constexpr.
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||||
//
|
||||
#if defined(BOOST_NO_CXX14_CONSTEXPR) && ((defined(BOOST_MSVC) && (BOOST_MSVC >= 1600)) || (defined(__clang__) && defined(__c2__)) || (defined(BOOST_INTEL) && defined(_MSC_VER))) && (defined(_M_IX86) || defined(_M_X64))
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||||
#pragma intrinsic(_BitScanForward,)
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template <>
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struct gcd_traits<unsigned long> : public gcd_traits_defaults<unsigned long>
|
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{
|
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BOOST_FORCEINLINE static unsigned find_lsb(unsigned long val) BOOST_NOEXCEPT
|
||||
{
|
||||
unsigned long result;
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_BitScanForward(&result, val);
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return result;
|
||||
}
|
||||
BOOST_FORCEINLINE static unsigned make_odd(unsigned long& val) BOOST_NOEXCEPT
|
||||
{
|
||||
unsigned result = find_lsb(val);
|
||||
val >>= result;
|
||||
return result;
|
||||
}
|
||||
};
|
||||
|
||||
#ifdef _M_X64
|
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#pragma intrinsic(_BitScanForward64)
|
||||
template <>
|
||||
struct gcd_traits<unsigned __int64> : public gcd_traits_defaults<unsigned __int64>
|
||||
{
|
||||
BOOST_FORCEINLINE static unsigned find_lsb(unsigned __int64 mask) BOOST_NOEXCEPT
|
||||
{
|
||||
unsigned long result;
|
||||
_BitScanForward64(&result, mask);
|
||||
return result;
|
||||
}
|
||||
BOOST_FORCEINLINE static unsigned make_odd(unsigned __int64& val) BOOST_NOEXCEPT
|
||||
{
|
||||
unsigned result = find_lsb(val);
|
||||
val >>= result;
|
||||
return result;
|
||||
}
|
||||
};
|
||||
#endif
|
||||
//
|
||||
// Other integer type are trivial adaptations of the above,
|
||||
// this works for signed types too, as by the time these functions
|
||||
// are called, all values are > 0.
|
||||
//
|
||||
template <> struct gcd_traits<long> : public gcd_traits_defaults<long>
|
||||
{ BOOST_FORCEINLINE static unsigned make_odd(long& val)BOOST_NOEXCEPT{ unsigned result = gcd_traits<unsigned long>::find_lsb(val); val >>= result; return result; } };
|
||||
template <> struct gcd_traits<unsigned int> : public gcd_traits_defaults<unsigned int>
|
||||
{ BOOST_FORCEINLINE static unsigned make_odd(unsigned int& val)BOOST_NOEXCEPT{ unsigned result = gcd_traits<unsigned long>::find_lsb(val); val >>= result; return result; } };
|
||||
template <> struct gcd_traits<int> : public gcd_traits_defaults<int>
|
||||
{ BOOST_FORCEINLINE static unsigned make_odd(int& val)BOOST_NOEXCEPT{ unsigned result = gcd_traits<unsigned long>::find_lsb(val); val >>= result; return result; } };
|
||||
template <> struct gcd_traits<unsigned short> : public gcd_traits_defaults<unsigned short>
|
||||
{ BOOST_FORCEINLINE static unsigned make_odd(unsigned short& val)BOOST_NOEXCEPT{ unsigned result = gcd_traits<unsigned long>::find_lsb(val); val >>= result; return result; } };
|
||||
template <> struct gcd_traits<short> : public gcd_traits_defaults<short>
|
||||
{ BOOST_FORCEINLINE static unsigned make_odd(short& val)BOOST_NOEXCEPT{ unsigned result = gcd_traits<unsigned long>::find_lsb(val); val >>= result; return result; } };
|
||||
template <> struct gcd_traits<unsigned char> : public gcd_traits_defaults<unsigned char>
|
||||
{ BOOST_FORCEINLINE static unsigned make_odd(unsigned char& val)BOOST_NOEXCEPT{ unsigned result = gcd_traits<unsigned long>::find_lsb(val); val >>= result; return result; } };
|
||||
template <> struct gcd_traits<signed char> : public gcd_traits_defaults<signed char>
|
||||
{ BOOST_FORCEINLINE static unsigned make_odd(signed char& val)BOOST_NOEXCEPT{ unsigned result = gcd_traits<unsigned long>::find_lsb(val); val >>= result; return result; } };
|
||||
template <> struct gcd_traits<char> : public gcd_traits_defaults<char>
|
||||
{ BOOST_FORCEINLINE static unsigned make_odd(char& val)BOOST_NOEXCEPT{ unsigned result = gcd_traits<unsigned long>::find_lsb(val); val >>= result; return result; } };
|
||||
#ifndef BOOST_NO_INTRINSIC_WCHAR_T
|
||||
template <> struct gcd_traits<wchar_t> : public gcd_traits_defaults<wchar_t>
|
||||
{ BOOST_FORCEINLINE static unsigned make_odd(wchar_t& val)BOOST_NOEXCEPT{ unsigned result = gcd_traits<unsigned long>::find_lsb(val); val >>= result; return result; } };
|
||||
#endif
|
||||
#ifdef _M_X64
|
||||
template <> struct gcd_traits<__int64> : public gcd_traits_defaults<__int64>
|
||||
{ BOOST_FORCEINLINE static unsigned make_odd(__int64& val)BOOST_NOEXCEPT{ unsigned result = gcd_traits<unsigned __int64>::find_lsb(val); val >>= result; return result; } };
|
||||
#endif
|
||||
|
||||
#elif defined(BOOST_GCC) || defined(__clang__) || (defined(BOOST_INTEL) && defined(__GNUC__))
|
||||
|
||||
template <>
|
||||
struct gcd_traits<unsigned> : public gcd_traits_defaults<unsigned>
|
||||
{
|
||||
BOOST_FORCEINLINE static BOOST_CXX14_CONSTEXPR unsigned find_lsb(unsigned mask)BOOST_NOEXCEPT
|
||||
{
|
||||
return __builtin_ctz(mask);
|
||||
}
|
||||
BOOST_FORCEINLINE static BOOST_CXX14_CONSTEXPR unsigned make_odd(unsigned& val)BOOST_NOEXCEPT
|
||||
{
|
||||
unsigned result = find_lsb(val);
|
||||
val >>= result;
|
||||
return result;
|
||||
}
|
||||
};
|
||||
template <>
|
||||
struct gcd_traits<unsigned long> : public gcd_traits_defaults<unsigned long>
|
||||
{
|
||||
BOOST_FORCEINLINE static BOOST_CXX14_CONSTEXPR unsigned find_lsb(unsigned long mask)BOOST_NOEXCEPT
|
||||
{
|
||||
return __builtin_ctzl(mask);
|
||||
}
|
||||
BOOST_FORCEINLINE static BOOST_CXX14_CONSTEXPR unsigned make_odd(unsigned long& val)BOOST_NOEXCEPT
|
||||
{
|
||||
unsigned result = find_lsb(val);
|
||||
val >>= result;
|
||||
return result;
|
||||
}
|
||||
};
|
||||
template <>
|
||||
struct gcd_traits<boost::ulong_long_type> : public gcd_traits_defaults<boost::ulong_long_type>
|
||||
{
|
||||
BOOST_FORCEINLINE static BOOST_CXX14_CONSTEXPR unsigned find_lsb(boost::ulong_long_type mask)BOOST_NOEXCEPT
|
||||
{
|
||||
return __builtin_ctzll(mask);
|
||||
}
|
||||
BOOST_FORCEINLINE static BOOST_CXX14_CONSTEXPR unsigned make_odd(boost::ulong_long_type& val)BOOST_NOEXCEPT
|
||||
{
|
||||
unsigned result = find_lsb(val);
|
||||
val >>= result;
|
||||
return result;
|
||||
}
|
||||
};
|
||||
//
|
||||
// Other integer type are trivial adaptations of the above,
|
||||
// this works for signed types too, as by the time these functions
|
||||
// are called, all values are > 0.
|
||||
//
|
||||
template <> struct gcd_traits<boost::long_long_type> : public gcd_traits_defaults<boost::long_long_type>
|
||||
{
|
||||
BOOST_FORCEINLINE static BOOST_CXX14_CONSTEXPR unsigned make_odd(boost::long_long_type& val)BOOST_NOEXCEPT { unsigned result = gcd_traits<boost::ulong_long_type>::find_lsb(val); val >>= result; return result; }
|
||||
};
|
||||
template <> struct gcd_traits<long> : public gcd_traits_defaults<long>
|
||||
{
|
||||
BOOST_FORCEINLINE static BOOST_CXX14_CONSTEXPR unsigned make_odd(long& val)BOOST_NOEXCEPT { unsigned result = gcd_traits<unsigned long>::find_lsb(val); val >>= result; return result; }
|
||||
};
|
||||
template <> struct gcd_traits<int> : public gcd_traits_defaults<int>
|
||||
{
|
||||
BOOST_FORCEINLINE static BOOST_CXX14_CONSTEXPR unsigned make_odd(int& val)BOOST_NOEXCEPT { unsigned result = gcd_traits<unsigned long>::find_lsb(val); val >>= result; return result; }
|
||||
};
|
||||
template <> struct gcd_traits<unsigned short> : public gcd_traits_defaults<unsigned short>
|
||||
{
|
||||
BOOST_FORCEINLINE static BOOST_CXX14_CONSTEXPR unsigned make_odd(unsigned short& val)BOOST_NOEXCEPT { unsigned result = gcd_traits<unsigned>::find_lsb(val); val >>= result; return result; }
|
||||
};
|
||||
template <> struct gcd_traits<short> : public gcd_traits_defaults<short>
|
||||
{
|
||||
BOOST_FORCEINLINE static BOOST_CXX14_CONSTEXPR unsigned make_odd(short& val)BOOST_NOEXCEPT { unsigned result = gcd_traits<unsigned>::find_lsb(val); val >>= result; return result; }
|
||||
};
|
||||
template <> struct gcd_traits<unsigned char> : public gcd_traits_defaults<unsigned char>
|
||||
{
|
||||
BOOST_FORCEINLINE static BOOST_CXX14_CONSTEXPR unsigned make_odd(unsigned char& val)BOOST_NOEXCEPT { unsigned result = gcd_traits<unsigned>::find_lsb(val); val >>= result; return result; }
|
||||
};
|
||||
template <> struct gcd_traits<signed char> : public gcd_traits_defaults<signed char>
|
||||
{
|
||||
BOOST_FORCEINLINE static BOOST_CXX14_CONSTEXPR unsigned make_odd(signed char& val)BOOST_NOEXCEPT { unsigned result = gcd_traits<unsigned>::find_lsb(val); val >>= result; return result; }
|
||||
};
|
||||
template <> struct gcd_traits<char> : public gcd_traits_defaults<char>
|
||||
{
|
||||
BOOST_FORCEINLINE static BOOST_CXX14_CONSTEXPR unsigned make_odd(char& val)BOOST_NOEXCEPT { unsigned result = gcd_traits<unsigned>::find_lsb(val); val >>= result; return result; }
|
||||
};
|
||||
#ifndef BOOST_NO_INTRINSIC_WCHAR_T
|
||||
template <> struct gcd_traits<wchar_t> : public gcd_traits_defaults<wchar_t>
|
||||
{
|
||||
BOOST_FORCEINLINE static BOOST_CXX14_CONSTEXPR unsigned make_odd(wchar_t& val)BOOST_NOEXCEPT { unsigned result = gcd_traits<unsigned>::find_lsb(val); val >>= result; return result; }
|
||||
};
|
||||
#endif
|
||||
#endif
|
||||
//
|
||||
// The Mixed Binary Euclid Algorithm
|
||||
// Sidi Mohamed Sedjelmaci
|
||||
// Electronic Notes in Discrete Mathematics 35 (2009) 169-176
|
||||
//
|
||||
template <class T>
|
||||
BOOST_CXX14_CONSTEXPR T mixed_binary_gcd(T u, T v) BOOST_GCD_NOEXCEPT(T)
|
||||
{
|
||||
if(gcd_traits<T>::less(u, v))
|
||||
constexpr_swap(u, v);
|
||||
|
||||
unsigned shifts = 0;
|
||||
|
||||
if(u == T(0))
|
||||
return v;
|
||||
if(v == T(0))
|
||||
return u;
|
||||
|
||||
shifts = constexpr_min(gcd_traits<T>::make_odd(u), gcd_traits<T>::make_odd(v));
|
||||
|
||||
while(gcd_traits<T>::less(1, v))
|
||||
{
|
||||
u %= v;
|
||||
v -= u;
|
||||
if(u == T(0))
|
||||
return v << shifts;
|
||||
if(v == T(0))
|
||||
return u << shifts;
|
||||
gcd_traits<T>::make_odd(u);
|
||||
gcd_traits<T>::make_odd(v);
|
||||
if(gcd_traits<T>::less(u, v))
|
||||
constexpr_swap(u, v);
|
||||
}
|
||||
return (v == 1 ? v : u) << shifts;
|
||||
}
|
||||
|
||||
/** Stein gcd (aka 'binary gcd')
|
||||
*
|
||||
* From Mathematics to Generic Programming, Alexander Stepanov, Daniel Rose
|
||||
*/
|
||||
template <typename SteinDomain>
|
||||
BOOST_CXX14_CONSTEXPR SteinDomain Stein_gcd(SteinDomain m, SteinDomain n) BOOST_GCD_NOEXCEPT(SteinDomain)
|
||||
{
|
||||
BOOST_ASSERT(m >= 0);
|
||||
BOOST_ASSERT(n >= 0);
|
||||
if (m == SteinDomain(0))
|
||||
return n;
|
||||
if (n == SteinDomain(0))
|
||||
return m;
|
||||
// m > 0 && n > 0
|
||||
unsigned d_m = gcd_traits<SteinDomain>::make_odd(m);
|
||||
unsigned d_n = gcd_traits<SteinDomain>::make_odd(n);
|
||||
// odd(m) && odd(n)
|
||||
while (m != n)
|
||||
{
|
||||
if (n > m)
|
||||
constexpr_swap(n, m);
|
||||
m -= n;
|
||||
gcd_traits<SteinDomain>::make_odd(m);
|
||||
}
|
||||
// m == n
|
||||
m <<= constexpr_min(d_m, d_n);
|
||||
return m;
|
||||
}
|
||||
|
||||
|
||||
/** Euclidean algorithm
|
||||
*
|
||||
* From Mathematics to Generic Programming, Alexander Stepanov, Daniel Rose
|
||||
*
|
||||
*/
|
||||
template <typename EuclideanDomain>
|
||||
inline BOOST_CXX14_CONSTEXPR EuclideanDomain Euclid_gcd(EuclideanDomain a, EuclideanDomain b) BOOST_GCD_NOEXCEPT(EuclideanDomain)
|
||||
{
|
||||
while (b != EuclideanDomain(0))
|
||||
{
|
||||
a %= b;
|
||||
constexpr_swap(a, b);
|
||||
}
|
||||
return a;
|
||||
}
|
||||
|
||||
|
||||
template <typename T>
|
||||
inline BOOST_CXX14_CONSTEXPR BOOST_DEDUCED_TYPENAME enable_if_c<gcd_traits<T>::method == method_mixed, T>::type
|
||||
optimal_gcd_select(T const &a, T const &b) BOOST_GCD_NOEXCEPT(T)
|
||||
{
|
||||
return gcd_detail::mixed_binary_gcd(a, b);
|
||||
}
|
||||
|
||||
template <typename T>
|
||||
inline BOOST_CXX14_CONSTEXPR BOOST_DEDUCED_TYPENAME enable_if_c<gcd_traits<T>::method == method_binary, T>::type
|
||||
optimal_gcd_select(T const &a, T const &b) BOOST_GCD_NOEXCEPT(T)
|
||||
{
|
||||
return gcd_detail::Stein_gcd(a, b);
|
||||
}
|
||||
|
||||
template <typename T>
|
||||
inline BOOST_CXX14_CONSTEXPR BOOST_DEDUCED_TYPENAME enable_if_c<gcd_traits<T>::method == method_euclid, T>::type
|
||||
optimal_gcd_select(T const &a, T const &b) BOOST_GCD_NOEXCEPT(T)
|
||||
{
|
||||
return gcd_detail::Euclid_gcd(a, b);
|
||||
}
|
||||
|
||||
template <class T>
|
||||
inline BOOST_CXX14_CONSTEXPR T lcm_imp(const T& a, const T& b) BOOST_GCD_NOEXCEPT(T)
|
||||
{
|
||||
T temp = boost::integer::gcd_detail::optimal_gcd_select(a, b);
|
||||
#if BOOST_WORKAROUND(BOOST_GCC_VERSION, < 40500)
|
||||
return (temp != T(0)) ? T(a / temp * b) : T(0);
|
||||
#else
|
||||
return temp != T(0) ? T(a / temp * b) : T(0);
|
||||
#endif
|
||||
}
|
||||
|
||||
} // namespace detail
|
||||
|
||||
|
||||
template <typename Integer>
|
||||
inline BOOST_CXX14_CONSTEXPR Integer gcd(Integer const &a, Integer const &b) BOOST_GCD_NOEXCEPT(Integer)
|
||||
{
|
||||
if(a == (std::numeric_limits<Integer>::min)())
|
||||
return a == static_cast<Integer>(0) ? gcd_detail::gcd_traits<Integer>::abs(b) : boost::integer::gcd(static_cast<Integer>(a % b), b);
|
||||
else if (b == (std::numeric_limits<Integer>::min)())
|
||||
return b == static_cast<Integer>(0) ? gcd_detail::gcd_traits<Integer>::abs(a) : boost::integer::gcd(a, static_cast<Integer>(b % a));
|
||||
return gcd_detail::optimal_gcd_select(static_cast<Integer>(gcd_detail::gcd_traits<Integer>::abs(a)), static_cast<Integer>(gcd_detail::gcd_traits<Integer>::abs(b)));
|
||||
}
|
||||
|
||||
template <typename Integer>
|
||||
inline BOOST_CXX14_CONSTEXPR Integer lcm(Integer const &a, Integer const &b) BOOST_GCD_NOEXCEPT(Integer)
|
||||
{
|
||||
return gcd_detail::lcm_imp(static_cast<Integer>(gcd_detail::gcd_traits<Integer>::abs(a)), static_cast<Integer>(gcd_detail::gcd_traits<Integer>::abs(b)));
|
||||
}
|
||||
#ifndef BOOST_NO_CXX11_VARIADIC_TEMPLATES
|
||||
//
|
||||
// This looks slightly odd, but the variadic forms must have 3 or more arguments, and the variadic argument pack may be empty.
|
||||
// This matters not at all for most compilers, but Oracle C++ selects the wrong overload in the 2-arg case unless we do this.
|
||||
//
|
||||
template <typename Integer, typename... Args>
|
||||
inline BOOST_CXX14_CONSTEXPR Integer gcd(Integer const &a, Integer const &b, const Integer& c, Args const&... args) BOOST_GCD_NOEXCEPT(Integer)
|
||||
{
|
||||
Integer t = gcd(b, c, args...);
|
||||
return t == 1 ? 1 : gcd(a, t);
|
||||
}
|
||||
|
||||
template <typename Integer, typename... Args>
|
||||
inline BOOST_CXX14_CONSTEXPR Integer lcm(Integer const &a, Integer const &b, Integer const& c, Args const&... args) BOOST_GCD_NOEXCEPT(Integer)
|
||||
{
|
||||
return lcm(a, lcm(b, c, args...));
|
||||
}
|
||||
#endif
|
||||
//
|
||||
// Special handling for rationals:
|
||||
//
|
||||
template <typename Integer>
|
||||
inline typename boost::enable_if_c<std::numeric_limits<Integer>::is_specialized, boost::rational<Integer> >::type gcd(boost::rational<Integer> const &a, boost::rational<Integer> const &b)
|
||||
{
|
||||
return boost::rational<Integer>(static_cast<Integer>(gcd(a.numerator(), b.numerator())), static_cast<Integer>(lcm(a.denominator(), b.denominator())));
|
||||
}
|
||||
|
||||
template <typename Integer>
|
||||
inline typename boost::enable_if_c<std::numeric_limits<Integer>::is_specialized, boost::rational<Integer> >::type lcm(boost::rational<Integer> const &a, boost::rational<Integer> const &b)
|
||||
{
|
||||
return boost::rational<Integer>(static_cast<Integer>(lcm(a.numerator(), b.numerator())), static_cast<Integer>(gcd(a.denominator(), b.denominator())));
|
||||
}
|
||||
/**
|
||||
* Knuth, The Art of Computer Programming: Volume 2, Third edition, 1998
|
||||
* Chapter 4.5.2, Algorithm C: Greatest common divisor of n integers.
|
||||
*
|
||||
* Knuth counts down from n to zero but we naturally go from first to last.
|
||||
* We also return the termination position because it might be useful to know.
|
||||
*
|
||||
* Partly by quirk, partly by design, this algorithm is defined for n = 1,
|
||||
* because the gcd of {x} is x. It is not defined for n = 0.
|
||||
*
|
||||
* @tparam I Input iterator.
|
||||
* @return The gcd of the range and the iterator position at termination.
|
||||
*/
|
||||
template <typename I>
|
||||
std::pair<typename std::iterator_traits<I>::value_type, I>
|
||||
gcd_range(I first, I last) BOOST_GCD_NOEXCEPT(I)
|
||||
{
|
||||
BOOST_ASSERT(first != last);
|
||||
typedef typename std::iterator_traits<I>::value_type T;
|
||||
|
||||
T d = *first;
|
||||
++first;
|
||||
while (d != T(1) && first != last)
|
||||
{
|
||||
d = gcd(d, *first);
|
||||
++first;
|
||||
}
|
||||
return std::make_pair(d, first);
|
||||
}
|
||||
template <typename I>
|
||||
std::pair<typename std::iterator_traits<I>::value_type, I>
|
||||
lcm_range(I first, I last) BOOST_GCD_NOEXCEPT(I)
|
||||
{
|
||||
BOOST_ASSERT(first != last);
|
||||
typedef typename std::iterator_traits<I>::value_type T;
|
||||
|
||||
T d = *first;
|
||||
++first;
|
||||
while (d != T(0) && first != last)
|
||||
{
|
||||
d = lcm(d, *first);
|
||||
++first;
|
||||
}
|
||||
return std::make_pair(d, first);
|
||||
}
|
||||
|
||||
template < typename IntegerType >
|
||||
class gcd_evaluator
|
||||
#ifdef BOOST_NO_CXX11_HDR_FUNCTIONAL
|
||||
: public std::binary_function<IntegerType, IntegerType, IntegerType>
|
||||
#endif
|
||||
{
|
||||
public:
|
||||
#ifndef BOOST_NO_CXX11_HDR_FUNCTIONAL
|
||||
typedef IntegerType first_argument_type;
|
||||
typedef IntegerType second_argument_type;
|
||||
typedef IntegerType result_type;
|
||||
#endif
|
||||
IntegerType operator()(IntegerType const &a, IntegerType const &b) const
|
||||
{
|
||||
return boost::integer::gcd(a, b);
|
||||
}
|
||||
};
|
||||
|
||||
template < typename IntegerType >
|
||||
class lcm_evaluator
|
||||
#ifdef BOOST_NO_CXX11_HDR_FUNCTIONAL
|
||||
: public std::binary_function<IntegerType, IntegerType, IntegerType>
|
||||
#endif
|
||||
{
|
||||
public:
|
||||
#ifndef BOOST_NO_CXX11_HDR_FUNCTIONAL
|
||||
typedef IntegerType first_argument_type;
|
||||
typedef IntegerType second_argument_type;
|
||||
typedef IntegerType result_type;
|
||||
#endif
|
||||
IntegerType operator()(IntegerType const &a, IntegerType const &b)const
|
||||
{
|
||||
return boost::integer::lcm(a, b);
|
||||
}
|
||||
};
|
||||
|
||||
} // namespace integer
|
||||
} // namespace boost
|
||||
|
||||
#ifdef BOOST_MSVC
|
||||
#pragma warning(pop)
|
||||
#endif
|
||||
|
||||
#endif // BOOST_INTEGER_COMMON_FACTOR_RT_HPP
|
||||
@@ -0,0 +1,83 @@
|
||||
/*
|
||||
* (C) Copyright Nick Thompson 2018.
|
||||
* Use, modification and distribution are subject to 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_INTEGER_EXTENDED_EUCLIDEAN_HPP
|
||||
#define BOOST_INTEGER_EXTENDED_EUCLIDEAN_HPP
|
||||
#include <limits>
|
||||
#include <stdexcept>
|
||||
#include <boost/throw_exception.hpp>
|
||||
#include <boost/core/swap.hpp>
|
||||
#include <boost/core/enable_if.hpp>
|
||||
|
||||
namespace boost { namespace integer {
|
||||
|
||||
// From "The Joy of Factoring", Algorithm 2.7, with a small optimization to remove tmps from Wikipedia.
|
||||
// Solves mx + ny = gcd(m,n). Returns tuple with (gcd(m,n), x, y).
|
||||
|
||||
template<class Z>
|
||||
struct euclidean_result_t
|
||||
{
|
||||
Z gcd;
|
||||
Z x;
|
||||
Z y;
|
||||
};
|
||||
|
||||
template<class Z>
|
||||
typename boost::enable_if_c< std::numeric_limits< Z >::is_signed, euclidean_result_t< Z > >::type
|
||||
extended_euclidean(Z m, Z n)
|
||||
{
|
||||
if (m < 1 || n < 1)
|
||||
{
|
||||
BOOST_THROW_EXCEPTION(std::domain_error("extended_euclidean: arguments must be strictly positive"));
|
||||
}
|
||||
|
||||
bool swapped = false;
|
||||
if (m < n)
|
||||
{
|
||||
swapped = true;
|
||||
boost::swap(m, n);
|
||||
}
|
||||
Z u0 = m;
|
||||
Z u1 = 1;
|
||||
Z u2 = 0;
|
||||
Z v0 = n;
|
||||
Z v1 = 0;
|
||||
Z v2 = 1;
|
||||
Z w0;
|
||||
Z w1;
|
||||
Z w2;
|
||||
while(v0 > 0)
|
||||
{
|
||||
Z q = u0/v0;
|
||||
w0 = u0 - q*v0;
|
||||
w1 = u1 - q*v1;
|
||||
w2 = u2 - q*v2;
|
||||
u0 = v0;
|
||||
u1 = v1;
|
||||
u2 = v2;
|
||||
v0 = w0;
|
||||
v1 = w1;
|
||||
v2 = w2;
|
||||
}
|
||||
|
||||
euclidean_result_t< Z > result;
|
||||
result.gcd = u0;
|
||||
if (!swapped)
|
||||
{
|
||||
result.x = u1;
|
||||
result.y = u2;
|
||||
}
|
||||
else
|
||||
{
|
||||
result.x = u2;
|
||||
result.y = u1;
|
||||
}
|
||||
|
||||
return result;
|
||||
}
|
||||
|
||||
}}
|
||||
#endif
|
||||
112
install/boost_1_75_0/include/boost/integer/integer_log2.hpp
Normal file
112
install/boost_1_75_0/include/boost/integer/integer_log2.hpp
Normal file
@@ -0,0 +1,112 @@
|
||||
// -----------------------------------------------------------
|
||||
// integer_log2.hpp
|
||||
//
|
||||
// Gives the integer part of the logarithm, in base 2, of a
|
||||
// given number. Behavior is undefined if the argument is <= 0.
|
||||
//
|
||||
// Copyright (c) 2003-2004, 2008 Gennaro Prota
|
||||
//
|
||||
// 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_INTEGER_INTEGER_LOG2_HPP
|
||||
#define BOOST_INTEGER_INTEGER_LOG2_HPP
|
||||
|
||||
#include <boost/limits.hpp>
|
||||
#include <boost/config.hpp>
|
||||
#include <boost/assert.hpp>
|
||||
#if defined(BOOST_BORLANDC)
|
||||
#include <climits>
|
||||
#endif
|
||||
|
||||
|
||||
namespace boost {
|
||||
namespace detail {
|
||||
|
||||
template <typename T>
|
||||
int integer_log2_impl(T x, int n) {
|
||||
|
||||
int result = 0;
|
||||
|
||||
while (x != 1) {
|
||||
|
||||
const T t = static_cast<T>(x >> n);
|
||||
if (t) {
|
||||
result += n;
|
||||
x = t;
|
||||
}
|
||||
n /= 2;
|
||||
|
||||
}
|
||||
|
||||
return result;
|
||||
}
|
||||
|
||||
|
||||
|
||||
// helper to find the maximum power of two
|
||||
// less than p (more involved than necessary,
|
||||
// to avoid PTS)
|
||||
//
|
||||
template <int p, int n>
|
||||
struct max_pow2_less {
|
||||
|
||||
enum { c = 2*n < p };
|
||||
|
||||
BOOST_STATIC_CONSTANT(int, value =
|
||||
c ? (max_pow2_less< c*p, 2*c*n>::value) : n);
|
||||
|
||||
};
|
||||
|
||||
template <>
|
||||
struct max_pow2_less<0, 0> {
|
||||
|
||||
BOOST_STATIC_CONSTANT(int, value = 0);
|
||||
};
|
||||
|
||||
// this template is here just for Borland :(
|
||||
// we could simply rely on numeric_limits but sometimes
|
||||
// Borland tries to use numeric_limits<const T>, because
|
||||
// of its usual const-related problems in argument deduction
|
||||
// - gps
|
||||
template <typename T>
|
||||
struct width {
|
||||
|
||||
#ifdef BOOST_BORLANDC
|
||||
BOOST_STATIC_CONSTANT(int, value = sizeof(T) * CHAR_BIT);
|
||||
#else
|
||||
BOOST_STATIC_CONSTANT(int, value = (std::numeric_limits<T>::digits));
|
||||
#endif
|
||||
|
||||
};
|
||||
|
||||
} // detail
|
||||
|
||||
|
||||
// ---------
|
||||
// integer_log2
|
||||
// ---------------
|
||||
//
|
||||
template <typename T>
|
||||
int integer_log2(T x) {
|
||||
|
||||
BOOST_ASSERT(x > 0);
|
||||
|
||||
const int n = detail::max_pow2_less<
|
||||
detail::width<T> :: value, 4
|
||||
> :: value;
|
||||
|
||||
return detail::integer_log2_impl(x, n);
|
||||
|
||||
}
|
||||
|
||||
|
||||
|
||||
}
|
||||
|
||||
|
||||
|
||||
#endif // include guard
|
||||
134
install/boost_1_75_0/include/boost/integer/integer_mask.hpp
Normal file
134
install/boost_1_75_0/include/boost/integer/integer_mask.hpp
Normal file
@@ -0,0 +1,134 @@
|
||||
// Boost integer/integer_mask.hpp header file ------------------------------//
|
||||
|
||||
// (C) Copyright Daryle Walker 2001.
|
||||
// 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)
|
||||
|
||||
// See http://www.boost.org for updates, documentation, and revision history.
|
||||
|
||||
#ifndef BOOST_INTEGER_INTEGER_MASK_HPP
|
||||
#define BOOST_INTEGER_INTEGER_MASK_HPP
|
||||
|
||||
#include <boost/integer_fwd.hpp> // self include
|
||||
|
||||
#include <boost/config.hpp> // for BOOST_STATIC_CONSTANT
|
||||
#include <boost/integer.hpp> // for boost::uint_t
|
||||
|
||||
#include <climits> // for UCHAR_MAX, etc.
|
||||
#include <cstddef> // for std::size_t
|
||||
|
||||
#include <boost/limits.hpp> // for std::numeric_limits
|
||||
|
||||
//
|
||||
// We simply cannot include this header on gcc without getting copious warnings of the kind:
|
||||
//
|
||||
// boost/integer/integer_mask.hpp:93:35: warning: use of C99 long long integer constant
|
||||
//
|
||||
// And yet there is no other reasonable implementation, so we declare this a system header
|
||||
// to suppress these warnings.
|
||||
//
|
||||
#if defined(__GNUC__) && (__GNUC__ >= 4)
|
||||
#pragma GCC system_header
|
||||
#endif
|
||||
|
||||
namespace boost
|
||||
{
|
||||
|
||||
|
||||
// Specified single-bit mask class declaration -----------------------------//
|
||||
// (Lowest bit starts counting at 0.)
|
||||
|
||||
template < std::size_t Bit >
|
||||
struct high_bit_mask_t
|
||||
{
|
||||
typedef typename uint_t<(Bit + 1)>::least least;
|
||||
typedef typename uint_t<(Bit + 1)>::fast fast;
|
||||
|
||||
BOOST_STATIC_CONSTANT( least, high_bit = (least( 1u ) << Bit) );
|
||||
BOOST_STATIC_CONSTANT( fast, high_bit_fast = (fast( 1u ) << Bit) );
|
||||
|
||||
BOOST_STATIC_CONSTANT( std::size_t, bit_position = Bit );
|
||||
|
||||
}; // boost::high_bit_mask_t
|
||||
|
||||
|
||||
// Specified bit-block mask class declaration ------------------------------//
|
||||
// Makes masks for the lowest N bits
|
||||
// (Specializations are needed when N fills up a type.)
|
||||
|
||||
#ifdef BOOST_MSVC
|
||||
#pragma warning(push)
|
||||
#pragma warning(disable:4310) // cast truncates constant value
|
||||
#endif
|
||||
|
||||
template < std::size_t Bits >
|
||||
struct low_bits_mask_t
|
||||
{
|
||||
typedef typename uint_t<Bits>::least least;
|
||||
typedef typename uint_t<Bits>::fast fast;
|
||||
|
||||
BOOST_STATIC_CONSTANT( least, sig_bits = least(~(least(~(least( 0u ))) << Bits )) );
|
||||
BOOST_STATIC_CONSTANT( fast, sig_bits_fast = fast(sig_bits) );
|
||||
|
||||
BOOST_STATIC_CONSTANT( std::size_t, bit_count = Bits );
|
||||
|
||||
}; // boost::low_bits_mask_t
|
||||
|
||||
#ifdef BOOST_MSVC
|
||||
#pragma warning(pop)
|
||||
#endif
|
||||
|
||||
#define BOOST_LOW_BITS_MASK_SPECIALIZE( Type ) \
|
||||
template < > struct low_bits_mask_t< std::numeric_limits<Type>::digits > { \
|
||||
typedef std::numeric_limits<Type> limits_type; \
|
||||
typedef uint_t<limits_type::digits>::least least; \
|
||||
typedef uint_t<limits_type::digits>::fast fast; \
|
||||
BOOST_STATIC_CONSTANT( least, sig_bits = (~( least(0u) )) ); \
|
||||
BOOST_STATIC_CONSTANT( fast, sig_bits_fast = fast(sig_bits) ); \
|
||||
BOOST_STATIC_CONSTANT( std::size_t, bit_count = limits_type::digits ); \
|
||||
}
|
||||
|
||||
#ifdef BOOST_MSVC
|
||||
#pragma warning(push)
|
||||
#pragma warning(disable:4245) // 'initializing' : conversion from 'int' to 'const boost::low_bits_mask_t<8>::least', signed/unsigned mismatch
|
||||
#endif
|
||||
|
||||
BOOST_LOW_BITS_MASK_SPECIALIZE( unsigned char );
|
||||
|
||||
#if USHRT_MAX > UCHAR_MAX
|
||||
BOOST_LOW_BITS_MASK_SPECIALIZE( unsigned short );
|
||||
#endif
|
||||
|
||||
#if UINT_MAX > USHRT_MAX
|
||||
BOOST_LOW_BITS_MASK_SPECIALIZE( unsigned int );
|
||||
#endif
|
||||
|
||||
#if ULONG_MAX > UINT_MAX
|
||||
BOOST_LOW_BITS_MASK_SPECIALIZE( unsigned long );
|
||||
#endif
|
||||
|
||||
#if defined(BOOST_HAS_LONG_LONG)
|
||||
#if ((defined(ULLONG_MAX) && (ULLONG_MAX > ULONG_MAX)) ||\
|
||||
(defined(ULONG_LONG_MAX) && (ULONG_LONG_MAX > ULONG_MAX)) ||\
|
||||
(defined(ULONGLONG_MAX) && (ULONGLONG_MAX > ULONG_MAX)) ||\
|
||||
(defined(_ULLONG_MAX) && (_ULLONG_MAX > ULONG_MAX)))
|
||||
BOOST_LOW_BITS_MASK_SPECIALIZE( boost::ulong_long_type );
|
||||
#endif
|
||||
#elif defined(BOOST_HAS_MS_INT64)
|
||||
#if 18446744073709551615ui64 > ULONG_MAX
|
||||
BOOST_LOW_BITS_MASK_SPECIALIZE( unsigned __int64 );
|
||||
#endif
|
||||
#endif
|
||||
|
||||
#ifdef BOOST_MSVC
|
||||
#pragma warning(pop)
|
||||
#endif
|
||||
|
||||
#undef BOOST_LOW_BITS_MASK_SPECIALIZE
|
||||
|
||||
|
||||
} // namespace boost
|
||||
|
||||
|
||||
#endif // BOOST_INTEGER_INTEGER_MASK_HPP
|
||||
53
install/boost_1_75_0/include/boost/integer/mod_inverse.hpp
Normal file
53
install/boost_1_75_0/include/boost/integer/mod_inverse.hpp
Normal file
@@ -0,0 +1,53 @@
|
||||
/*
|
||||
* (C) Copyright Nick Thompson 2018.
|
||||
* Use, modification and distribution are subject to 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_INTEGER_MOD_INVERSE_HPP
|
||||
#define BOOST_INTEGER_MOD_INVERSE_HPP
|
||||
#include <stdexcept>
|
||||
#include <boost/throw_exception.hpp>
|
||||
#include <boost/integer/extended_euclidean.hpp>
|
||||
|
||||
namespace boost { namespace integer {
|
||||
|
||||
// From "The Joy of Factoring", Algorithm 2.7.
|
||||
// Here's some others names I've found for this function:
|
||||
// PowerMod[a, -1, m] (Mathematica)
|
||||
// mpz_invert (gmplib)
|
||||
// modinv (some dude on stackoverflow)
|
||||
// Would mod_inverse be sometimes mistaken as the modular *additive* inverse?
|
||||
// In any case, I think this is the best name we can get for this function without agonizing.
|
||||
template<class Z>
|
||||
Z mod_inverse(Z a, Z modulus)
|
||||
{
|
||||
if (modulus < Z(2))
|
||||
{
|
||||
BOOST_THROW_EXCEPTION(std::domain_error("mod_inverse: modulus must be > 1"));
|
||||
}
|
||||
// make sure a < modulus:
|
||||
a = a % modulus;
|
||||
if (a == Z(0))
|
||||
{
|
||||
// a doesn't have a modular multiplicative inverse:
|
||||
return Z(0);
|
||||
}
|
||||
boost::integer::euclidean_result_t<Z> u = boost::integer::extended_euclidean(a, modulus);
|
||||
if (u.gcd > Z(1))
|
||||
{
|
||||
return Z(0);
|
||||
}
|
||||
// x might not be in the range 0 < x < m, let's fix that:
|
||||
while (u.x <= Z(0))
|
||||
{
|
||||
u.x += modulus;
|
||||
}
|
||||
// While indeed this is an inexpensive and comforting check,
|
||||
// the multiplication overflows and hence makes the check itself buggy.
|
||||
//BOOST_ASSERT(u.x*a % modulus == 1);
|
||||
return u.x;
|
||||
}
|
||||
|
||||
}}
|
||||
#endif
|
||||
126
install/boost_1_75_0/include/boost/integer/static_log2.hpp
Normal file
126
install/boost_1_75_0/include/boost/integer/static_log2.hpp
Normal file
@@ -0,0 +1,126 @@
|
||||
// -------------- Boost static_log2.hpp header file ----------------------- //
|
||||
//
|
||||
// Copyright (C) 2001 Daryle Walker.
|
||||
// Copyright (C) 2003 Vesa Karvonen.
|
||||
// Copyright (C) 2003 Gennaro Prota.
|
||||
//
|
||||
// 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)
|
||||
//
|
||||
// ---------------------------------------------------
|
||||
// See http://www.boost.org/libs/integer for documentation.
|
||||
// ------------------------------------------------------------------------- //
|
||||
|
||||
|
||||
#ifndef BOOST_INTEGER_STATIC_LOG2_HPP
|
||||
#define BOOST_INTEGER_STATIC_LOG2_HPP
|
||||
|
||||
#include <boost/config.hpp>
|
||||
#include <boost/integer_fwd.hpp>
|
||||
|
||||
namespace boost {
|
||||
|
||||
namespace detail {
|
||||
|
||||
namespace static_log2_impl {
|
||||
|
||||
// choose_initial_n<>
|
||||
//
|
||||
// Recursively doubles its integer argument, until it
|
||||
// becomes >= of the "width" (C99, 6.2.6.2p4) of
|
||||
// static_log2_argument_type.
|
||||
//
|
||||
// Used to get the maximum power of two less then the width.
|
||||
//
|
||||
// Example: if on your platform argument_type has 48 value
|
||||
// bits it yields n=32.
|
||||
//
|
||||
// It's easy to prove that, starting from such a value
|
||||
// of n, the core algorithm works correctly for any width
|
||||
// of static_log2_argument_type and that recursion always
|
||||
// terminates with x = 1 and n = 0 (see the algorithm's
|
||||
// invariant).
|
||||
|
||||
typedef boost::static_log2_argument_type argument_type;
|
||||
typedef boost::static_log2_result_type result_type;
|
||||
|
||||
template <result_type n>
|
||||
struct choose_initial_n {
|
||||
|
||||
BOOST_STATIC_CONSTANT(bool, c = (argument_type(1) << n << n) != 0);
|
||||
BOOST_STATIC_CONSTANT(
|
||||
result_type,
|
||||
value = !c*n + choose_initial_n<2*c*n>::value
|
||||
);
|
||||
|
||||
};
|
||||
|
||||
template <>
|
||||
struct choose_initial_n<0> {
|
||||
BOOST_STATIC_CONSTANT(result_type, value = 0);
|
||||
};
|
||||
|
||||
|
||||
|
||||
// start computing from n_zero - must be a power of two
|
||||
const result_type n_zero = 16;
|
||||
const result_type initial_n = choose_initial_n<n_zero>::value;
|
||||
|
||||
// static_log2_impl<>
|
||||
//
|
||||
// * Invariant:
|
||||
// 2n
|
||||
// 1 <= x && x < 2 at the start of each recursion
|
||||
// (see also choose_initial_n<>)
|
||||
//
|
||||
// * Type requirements:
|
||||
//
|
||||
// argument_type maybe any unsigned type with at least n_zero + 1
|
||||
// value bits. (Note: If larger types will be standardized -e.g.
|
||||
// unsigned long long- then the argument_type typedef can be
|
||||
// changed without affecting the rest of the code.)
|
||||
//
|
||||
|
||||
template <argument_type x, result_type n = initial_n>
|
||||
struct static_log2_impl {
|
||||
|
||||
BOOST_STATIC_CONSTANT(bool, c = (x >> n) > 0); // x >= 2**n ?
|
||||
BOOST_STATIC_CONSTANT(
|
||||
result_type,
|
||||
value = c*n + (static_log2_impl< (x>>c*n), n/2 >::value)
|
||||
);
|
||||
|
||||
};
|
||||
|
||||
template <>
|
||||
struct static_log2_impl<1, 0> {
|
||||
BOOST_STATIC_CONSTANT(result_type, value = 0);
|
||||
};
|
||||
|
||||
}
|
||||
} // detail
|
||||
|
||||
|
||||
|
||||
// --------------------------------------
|
||||
// static_log2<x>
|
||||
// ----------------------------------------
|
||||
|
||||
template <static_log2_argument_type x>
|
||||
struct static_log2 {
|
||||
|
||||
BOOST_STATIC_CONSTANT(
|
||||
static_log2_result_type,
|
||||
value = detail::static_log2_impl::static_log2_impl<x>::value
|
||||
);
|
||||
|
||||
};
|
||||
|
||||
|
||||
template <>
|
||||
struct static_log2<0> { };
|
||||
|
||||
}
|
||||
|
||||
#endif // include guard
|
||||
@@ -0,0 +1,52 @@
|
||||
// Boost integer/static_min_max.hpp header file ----------------------------//
|
||||
|
||||
// (C) Copyright Daryle Walker 2001.
|
||||
// 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)
|
||||
|
||||
// See http://www.boost.org for updates, documentation, and revision history.
|
||||
|
||||
#ifndef BOOST_INTEGER_STATIC_MIN_MAX_HPP
|
||||
#define BOOST_INTEGER_STATIC_MIN_MAX_HPP
|
||||
|
||||
#include <boost/config.hpp>
|
||||
#include <boost/integer_fwd.hpp> // self include
|
||||
|
||||
namespace boost
|
||||
{
|
||||
|
||||
// Compile-time extrema class declarations ---------------------------------//
|
||||
// Get the minimum or maximum of two values, signed or unsigned.
|
||||
|
||||
template <static_min_max_signed_type Value1, static_min_max_signed_type Value2>
|
||||
struct static_signed_min
|
||||
{
|
||||
BOOST_STATIC_CONSTANT(static_min_max_signed_type, value = (Value1 > Value2) ? Value2 : Value1 );
|
||||
};
|
||||
|
||||
template <static_min_max_signed_type Value1, static_min_max_signed_type Value2>
|
||||
struct static_signed_max
|
||||
{
|
||||
BOOST_STATIC_CONSTANT(static_min_max_signed_type, value = (Value1 < Value2) ? Value2 : Value1 );
|
||||
};
|
||||
|
||||
template <static_min_max_unsigned_type Value1, static_min_max_unsigned_type Value2>
|
||||
struct static_unsigned_min
|
||||
{
|
||||
BOOST_STATIC_CONSTANT(static_min_max_unsigned_type, value
|
||||
= (Value1 > Value2) ? Value2 : Value1 );
|
||||
};
|
||||
|
||||
template <static_min_max_unsigned_type Value1, static_min_max_unsigned_type Value2>
|
||||
struct static_unsigned_max
|
||||
{
|
||||
BOOST_STATIC_CONSTANT(static_min_max_unsigned_type, value
|
||||
= (Value1 < Value2) ? Value2 : Value1 );
|
||||
};
|
||||
|
||||
|
||||
} // namespace boost
|
||||
|
||||
|
||||
#endif // BOOST_INTEGER_STATIC_MIN_MAX_HPP
|
||||
Reference in New Issue
Block a user