Cider Isn't Darwin Emulation, Really
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See LICENSE.TXT for details.////===----------------------------------------------------------------------===//#ifndef _LIBCPP_NUMERIC#define _LIBCPP_NUMERIC/* numeric synopsisnamespace std{template <class InputIterator, class T> T accumulate(InputIterator first, InputIterator last, T init);template <class InputIterator, class T, class BinaryOperation> T accumulate(InputIterator first, InputIterator last, T init, BinaryOperation binary_op);template<class InputIterator> typename iterator_traits<InputIterator>::value_type reduce(InputIterator first, InputIterator last); // C++17template<class InputIterator, class T> T reduce(InputIterator first, InputIterator last, T init); // C++17template<class InputIterator, class T, class BinaryOperation> T reduce(InputIterator first, InputIterator last, T init, BinaryOperation binary_op); // C++17template <class InputIterator1, class InputIterator2, class T> T inner_product(InputIterator1 first1, InputIterator1 last1, InputIterator2 first2, T init);template <class InputIterator1, class InputIterator2, class T, class BinaryOperation1, class BinaryOperation2> T inner_product(InputIterator1 first1, InputIterator1 last1, InputIterator2 first2, T init, BinaryOperation1 binary_op1, BinaryOperation2 binary_op2);template<class InputIterator1, class InputIterator2, class T> T transform_reduce(InputIterator1 first1, InputIterator1 last1, InputIterator2 first2, T init); // C++17 template<class InputIterator1, class InputIterator2, class T, class BinaryOperation1, class BinaryOperation2> T transform_reduce(InputIterator1 first1, InputIterator1 last1, InputIterator2 first2, T init, BinaryOperation1 binary_op1, BinaryOperation2 binary_op2); // C++17template<class InputIterator, class T, class BinaryOperation, class UnaryOperation> T transform_reduce(InputIterator first, InputIterator last, T init, BinaryOperation binary_op, UnaryOperation unary_op); // C++17template <class InputIterator, class OutputIterator> OutputIterator partial_sum(InputIterator first, InputIterator last, OutputIterator result);template <class InputIterator, class OutputIterator, class BinaryOperation> OutputIterator partial_sum(InputIterator first, InputIterator last, OutputIterator result, BinaryOperation binary_op);template<class InputIterator, class OutputIterator, class T> OutputIterator exclusive_scan(InputIterator first, InputIterator last, OutputIterator result, T init); // C++17 template<class InputIterator, class OutputIterator, class T, class BinaryOperation> OutputIterator exclusive_scan(InputIterator first, InputIterator last, OutputIterator result, T init, BinaryOperation binary_op); // C++17template<class InputIterator, class OutputIterator> OutputIterator inclusive_scan(InputIterator first, InputIterator last, OutputIterator result); // C++17template<class InputIterator, class OutputIterator, class BinaryOperation> OutputIterator inclusive_scan(InputIterator first, InputIterator last, OutputIterator result, BinaryOperation binary_op); // C++17template<class InputIterator, class OutputIterator, class BinaryOperation, class T> OutputIterator inclusive_scan(InputIterator first, InputIterator last, OutputIterator result, BinaryOperation binary_op, T init); // C++17template<class InputIterator, class OutputIterator, class T, class BinaryOperation, class UnaryOperation> OutputIterator transform_exclusive_scan(InputIterator first, InputIterator last, OutputIterator result, T init, BinaryOperation binary_op, UnaryOperation unary_op); // C++17template<class InputIterator, class OutputIterator, class BinaryOperation, class UnaryOperation> OutputIterator transform_inclusive_scan(InputIterator first, InputIterator last, OutputIterator result, BinaryOperation binary_op, UnaryOperation unary_op); // C++17 template<class InputIterator, class OutputIterator, class BinaryOperation, class UnaryOperation, class T> OutputIterator transform_inclusive_scan(InputIterator first, InputIterator last, OutputIterator result, BinaryOperation binary_op, UnaryOperation unary_op, T init); // C++17template <class InputIterator, class OutputIterator> OutputIterator adjacent_difference(InputIterator first, InputIterator last, OutputIterator result);template <class InputIterator, class OutputIterator, class BinaryOperation> OutputIterator adjacent_difference(InputIterator first, InputIterator last, OutputIterator result, BinaryOperation binary_op);template <class ForwardIterator, class T> void iota(ForwardIterator first, ForwardIterator last, T value);template <class M, class N> constexpr common_type_t<M,N> gcd(M m, N n); // C++17template <class M, class N> constexpr common_type_t<M,N> lcm(M m, N n); // C++17} // std*/#include <__config>#include <iterator>#include <limits> // for numeric_limits#include <functional>#if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER)#pragma GCC system_header#endif_LIBCPP_PUSH_MACROS#include <__undef_macros>_LIBCPP_BEGIN_NAMESPACE_STDtemplate <class _InputIterator, class _Tp>inline _LIBCPP_INLINE_VISIBILITY_Tpaccumulate(_InputIterator __first, _InputIterator __last, _Tp __init){ for (; __first != __last; ++__first) __init = __init + *__first; return __init;}template <class _InputIterator, class _Tp, class _BinaryOperation>inline _LIBCPP_INLINE_VISIBILITY_Tpaccumulate(_InputIterator __first, _InputIterator __last, _Tp __init, _BinaryOperation __binary_op){ for (; __first != __last; ++__first) __init = __binary_op(__init, *__first); return __init;}#if _LIBCPP_STD_VER > 14template <class _InputIterator, class _Tp, class _BinaryOp>inline _LIBCPP_INLINE_VISIBILITY_Tpreduce(_InputIterator __first, _InputIterator __last, _Tp __init, _BinaryOp __b){ for (; __first != __last; ++__first) __init = __b(__init, *__first); return __init;}template <class _InputIterator, class _Tp>inline _LIBCPP_INLINE_VISIBILITY_Tpreduce(_InputIterator __first, _InputIterator __last, _Tp __init){ return _VSTD::reduce(__first, __last, __init, _VSTD::plus<>());}template <class _InputIterator>inline _LIBCPP_INLINE_VISIBILITYtypename iterator_traits<_InputIterator>::value_typereduce(_InputIterator __first, _InputIterator __last){ return _VSTD::reduce(__first, __last, typename iterator_traits<_InputIterator>::value_type{});}#endiftemplate <class _InputIterator1, class _InputIterator2, class _Tp>inline _LIBCPP_INLINE_VISIBILITY_Tpinner_product(_InputIterator1 __first1, _InputIterator1 __last1, _InputIterator2 __first2, _Tp __init){ for (; __first1 != __last1; ++__first1, (void) ++__first2) __init = __init + *__first1 * *__first2; return __init;}template <class _InputIterator1, class _InputIterator2, class _Tp, class _BinaryOperation1, class _BinaryOperation2>inline _LIBCPP_INLINE_VISIBILITY_Tpinner_product(_InputIterator1 __first1, _InputIterator1 __last1, _InputIterator2 __first2, _Tp __init, _BinaryOperation1 __binary_op1, _BinaryOperation2 __binary_op2){ for (; __first1 != __last1; ++__first1, (void) ++__first2) __init = __binary_op1(__init, __binary_op2(*__first1, *__first2)); return __init;}#if _LIBCPP_STD_VER > 14template <class _InputIterator, class _Tp, class _BinaryOp, class _UnaryOp>inline _LIBCPP_INLINE_VISIBILITY_Tptransform_reduce(_InputIterator __first, _InputIterator __last, _Tp __init, _BinaryOp __b, _UnaryOp __u){ for (; __first != __last; ++__first) __init = __b(__init, __u(*__first)); return __init;}template <class _InputIterator1, class _InputIterator2, class _Tp, class _BinaryOp1, class _BinaryOp2>inline _LIBCPP_INLINE_VISIBILITY_Tptransform_reduce(_InputIterator1 __first1, _InputIterator1 __last1, _InputIterator2 __first2, _Tp __init, _BinaryOp1 __b1, _BinaryOp2 __b2){ for (; __first1 != __last1; ++__first1, (void) ++__first2) __init = __b1(__init, __b2(*__first1, *__first2)); return __init;}template <class _InputIterator1, class _InputIterator2, class _Tp>inline _LIBCPP_INLINE_VISIBILITY_Tptransform_reduce(_InputIterator1 __first1, _InputIterator1 __last1, _InputIterator2 __first2, _Tp __init){ return _VSTD::transform_reduce(__first1, __last1, __first2, __init, _VSTD::plus<>(), _VSTD::multiplies<>());}#endiftemplate <class _InputIterator, class _OutputIterator>inline _LIBCPP_INLINE_VISIBILITY_OutputIteratorpartial_sum(_InputIterator __first, _InputIterator __last, _OutputIterator __result){ if (__first != __last) { typename iterator_traits<_InputIterator>::value_type __t(*__first); *__result = __t; for (++__first, (void) ++__result; __first != __last; ++__first, (void) ++__result) { __t = __t + *__first; *__result = __t; } } return __result;}template <class _InputIterator, class _OutputIterator, class _BinaryOperation>inline _LIBCPP_INLINE_VISIBILITY_OutputIteratorpartial_sum(_InputIterator __first, _InputIterator __last, _OutputIterator __result, _BinaryOperation __binary_op){ if (__first != __last) { typename iterator_traits<_InputIterator>::value_type __t(*__first); *__result = __t; for (++__first, (void) ++__result; __first != __last; ++__first, (void) ++__result) { __t = __binary_op(__t, *__first); *__result = __t; } } return __result;}#if _LIBCPP_STD_VER > 14template <class _InputIterator, class _OutputIterator, class _Tp, class _BinaryOp>inline _LIBCPP_INLINE_VISIBILITY_OutputIteratorexclusive_scan(_InputIterator __first, _InputIterator __last, _OutputIterator __result, _Tp __init, _BinaryOp __b){ if (__first != __last) { _Tp __saved = __init; do { __init = __b(__init, *__first); *__result = __saved; __saved = __init; ++__result; } while (++__first != __last); } return __result;}template <class _InputIterator, class _OutputIterator, class _Tp>inline _LIBCPP_INLINE_VISIBILITY_OutputIteratorexclusive_scan(_InputIterator __first, _InputIterator __last, _OutputIterator __result, _Tp __init){ return _VSTD::exclusive_scan(__first, __last, __result, __init, _VSTD::plus<>());}template <class _InputIterator, class _OutputIterator, class _Tp, class _BinaryOp>_OutputIterator inclusive_scan(_InputIterator __first, _InputIterator __last, _OutputIterator __result, _BinaryOp __b, _Tp __init){ for (; __first != __last; ++__first, (void) ++__result) { __init = __b(__init, *__first); *__result = __init; } return __result;}template <class _InputIterator, class _OutputIterator, class _BinaryOp>_OutputIterator inclusive_scan(_InputIterator __first, _InputIterator __last, _OutputIterator __result, _BinaryOp __b){ if (__first != __last) { typename std::iterator_traits<_InputIterator>::value_type __init = *__first; *__result++ = __init; if (++__first != __last) return _VSTD::inclusive_scan(__first, __last, __result, __b, __init); } return __result;}template <class _InputIterator, class _OutputIterator>_OutputIterator inclusive_scan(_InputIterator __first, _InputIterator __last, _OutputIterator __result){ return _VSTD::inclusive_scan(__first, __last, __result, std::plus<>());}template <class _InputIterator, class _OutputIterator, class _Tp, class _BinaryOp, class _UnaryOp>inline _LIBCPP_INLINE_VISIBILITY_OutputIteratortransform_exclusive_scan(_InputIterator __first, _InputIterator __last, _OutputIterator __result, _Tp __init, _BinaryOp __b, _UnaryOp __u){ if (__first != __last) { _Tp __saved = __init; do { __init = __b(__init, __u(*__first)); *__result = __saved; __saved = __init; ++__result; } while (++__first != __last); } return __result;}template <class _InputIterator, class _OutputIterator, class _Tp, class _BinaryOp, class _UnaryOp>_OutputIterator transform_inclusive_scan(_InputIterator __first, _InputIterator __last, _OutputIterator __result, _BinaryOp __b, _UnaryOp __u, _Tp __init){ for (; __first != __last; ++__first, (void) ++__result) { __init = __b(__init, __u(*__first)); *__result = __init; } return __result;}template <class _InputIterator, class _OutputIterator, class _BinaryOp, class _UnaryOp>_OutputIterator transform_inclusive_scan(_InputIterator __first, _InputIterator __last, _OutputIterator __result, _BinaryOp __b, _UnaryOp __u){ if (__first != __last) { typename std::iterator_traits<_InputIterator>::value_type __init = __u(*__first); *__result++ = __init; if (++__first != __last) return _VSTD::transform_inclusive_scan(__first, __last, __result, __b, __u, __init); } return __result;}#endiftemplate <class _InputIterator, class _OutputIterator>inline _LIBCPP_INLINE_VISIBILITY_OutputIteratoradjacent_difference(_InputIterator __first, _InputIterator __last, _OutputIterator __result){ if (__first != __last) { typename iterator_traits<_InputIterator>::value_type __t1(*__first); *__result = __t1; for (++__first, (void) ++__result; __first != __last; ++__first, (void) ++__result) { typename iterator_traits<_InputIterator>::value_type __t2(*__first); *__result = __t2 - __t1; __t1 = _VSTD::move(__t2); } } return __result;}template <class _InputIterator, class _OutputIterator, class _BinaryOperation>inline _LIBCPP_INLINE_VISIBILITY_OutputIteratoradjacent_difference(_InputIterator __first, _InputIterator __last, _OutputIterator __result, _BinaryOperation __binary_op){ if (__first != __last) { typename iterator_traits<_InputIterator>::value_type __t1(*__first); *__result = __t1; for (++__first, (void) ++__result; __first != __last; ++__first, (void) ++__result) { typename iterator_traits<_InputIterator>::value_type __t2(*__first); *__result = __binary_op(__t2, __t1); __t1 = _VSTD::move(__t2); } } return __result;}template <class _ForwardIterator, class _Tp>inline _LIBCPP_INLINE_VISIBILITYvoidiota(_ForwardIterator __first, _ForwardIterator __last, _Tp __value_){ for (; __first != __last; ++__first, (void) ++__value_) *__first = __value_;}#if _LIBCPP_STD_VER > 14template <typename _Result, typename _Source, bool _IsSigned = is_signed<_Source>::value> struct __abs;template <typename _Result, typename _Source>struct __abs<_Result, _Source, true> { _LIBCPP_CONSTEXPR _LIBCPP_INLINE_VISIBILITY _Result operator()(_Source __t) const noexcept { if (__t >= 0) return __t; if (__t == numeric_limits<_Source>::min()) return -static_cast<_Result>(__t); return -__t; }};template <typename _Result, typename _Source>struct __abs<_Result, _Source, false> { _LIBCPP_CONSTEXPR _LIBCPP_INLINE_VISIBILITY _Result operator()(_Source __t) const noexcept { return __t; }};template<class _Tp>_LIBCPP_CONSTEXPR _LIBCPP_HIDDEN_Tp __gcd(_Tp __m, _Tp __n){ static_assert((!is_signed<_Tp>::value), ""); return __n == 0 ? __m : _VSTD::__gcd<_Tp>(__n, __m % __n);}template<class _Tp, class _Up>_LIBCPP_CONSTEXPR _LIBCPP_INLINE_VISIBILITYcommon_type_t<_Tp,_Up>gcd(_Tp __m, _Up __n){ static_assert((is_integral<_Tp>::value && is_integral<_Up>::value), "Arguments to gcd must be integer types"); static_assert((!is_same<typename remove_cv<_Tp>::type, bool>::value), "First argument to gcd cannot be bool" ); static_assert((!is_same<typename remove_cv<_Up>::type, bool>::value), "Second argument to gcd cannot be bool" ); using _Rp = common_type_t<_Tp,_Up>; using _Wp = make_unsigned_t<_Rp>; return static_cast<_Rp>(_VSTD::__gcd( static_cast<_Wp>(__abs<_Rp, _Tp>()(__m)), static_cast<_Wp>(__abs<_Rp, _Up>()(__n))));}template<class _Tp, class _Up>_LIBCPP_CONSTEXPR _LIBCPP_INLINE_VISIBILITYcommon_type_t<_Tp,_Up>lcm(_Tp __m, _Up __n){ static_assert((is_integral<_Tp>::value && is_integral<_Up>::value), "Arguments to lcm must be integer types"); static_assert((!is_same<typename remove_cv<_Tp>::type, bool>::value), "First argument to lcm cannot be bool" ); static_assert((!is_same<typename remove_cv<_Up>::type, bool>::value), "Second argument to lcm cannot be bool" ); if (__m == 0 || __n == 0) return 0; using _Rp = common_type_t<_Tp,_Up>; _Rp __val1 = __abs<_Rp, _Tp>()(__m) / _VSTD::gcd(__m, __n); _Rp __val2 = __abs<_Rp, _Up>()(__n); _LIBCPP_ASSERT((numeric_limits<_Rp>::max() / __val1 > __val2), "Overflow in lcm"); return __val1 * __val2;}#endif /* _LIBCPP_STD_VER > 14 */_LIBCPP_END_NAMESPACE_STD_LIBCPP_POP_MACROS#endif // _LIBCPP_NUMERIC