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numeric
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// -*- C++ -*-
//===----------------------------------------------------------------------===//
//
// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
// See https://llvm.org/LICENSE.txt for license information.
// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
//
//===----------------------------------------------------------------------===//
#ifndef _LIBCPP_NUMERIC
#define _LIBCPP_NUMERIC
/*
numeric synopsis
namespace std
{
template <class InputIterator, class T>
constexpr T // constexpr since C++20
accumulate(InputIterator first, InputIterator last, T init);
template <class InputIterator, class T, class BinaryOperation>
constexpr T // constexpr since C++20
accumulate(InputIterator first, InputIterator last, T init, BinaryOperation binary_op);
template<class InputIterator>
constexpr typename iterator_traits<InputIterator>::value_type // constexpr since C++20
reduce(InputIterator first, InputIterator last); // C++17
template<class InputIterator, class T>
constexpr T // constexpr since C++20
reduce(InputIterator first, InputIterator last, T init); // C++17
template<class InputIterator, class T, class BinaryOperation>
constexpr T // constexpr since C++20
reduce(InputIterator first, InputIterator last, T init, BinaryOperation binary_op); // C++17
template <class InputIterator1, class InputIterator2, class T>
constexpr T // constexpr since C++20
inner_product(InputIterator1 first1, InputIterator1 last1, InputIterator2 first2, T init);
template <class InputIterator1, class InputIterator2, class T, class BinaryOperation1, class BinaryOperation2>
constexpr T // constexpr since C++20
inner_product(InputIterator1 first1, InputIterator1 last1, InputIterator2 first2,
T init, BinaryOperation1 binary_op1, BinaryOperation2 binary_op2);
template<class InputIterator1, class InputIterator2, class T>
constexpr T // constexpr since C++20
transform_reduce(InputIterator1 first1, InputIterator1 last1,
InputIterator2 first2, T init); // C++17
template<class InputIterator1, class InputIterator2, class T, class BinaryOperation1, class BinaryOperation2>
constexpr T // constexpr since C++20
transform_reduce(InputIterator1 first1, InputIterator1 last1,
InputIterator2 first2, T init,
BinaryOperation1 binary_op1, BinaryOperation2 binary_op2); // C++17
template<class InputIterator, class T, class BinaryOperation, class UnaryOperation>
constexpr T // constexpr since C++20
transform_reduce(InputIterator first, InputIterator last, T init,
BinaryOperation binary_op, UnaryOperation unary_op); // C++17
template <class InputIterator, class OutputIterator>
constexpr OutputIterator // constexpr since C++20
partial_sum(InputIterator first, InputIterator last, OutputIterator result);
template <class InputIterator, class OutputIterator, class BinaryOperation>
constexpr OutputIterator // constexpr since C++20
partial_sum(InputIterator first, InputIterator last, OutputIterator result, BinaryOperation binary_op);
template<class InputIterator, class OutputIterator, class T>
constexpr OutputIterator // constexpr since C++20
exclusive_scan(InputIterator first, InputIterator last,
OutputIterator result, T init); // C++17
template<class InputIterator, class OutputIterator, class T, class BinaryOperation>
constexpr OutputIterator // constexpr since C++20
exclusive_scan(InputIterator first, InputIterator last,
OutputIterator result, T init, BinaryOperation binary_op); // C++17
template<class InputIterator, class OutputIterator>
constexpr OutputIterator // constexpr since C++20
inclusive_scan(InputIterator first, InputIterator last, OutputIterator result); // C++17
template<class InputIterator, class OutputIterator, class BinaryOperation>
constexpr OutputIterator // constexpr since C++20
inclusive_scan(InputIterator first, InputIterator last,
OutputIterator result, BinaryOperation binary_op); // C++17
template<class InputIterator, class OutputIterator, class BinaryOperation, class T>
constexpr OutputIterator // constexpr since C++20
inclusive_scan(InputIterator first, InputIterator last,
OutputIterator result, BinaryOperation binary_op, T init); // C++17
template<class InputIterator, class OutputIterator, class T,
class BinaryOperation, class UnaryOperation>
constexpr OutputIterator // constexpr since C++20
transform_exclusive_scan(InputIterator first, InputIterator last,
OutputIterator result, T init,
BinaryOperation binary_op, UnaryOperation unary_op); // C++17
template<class InputIterator, class OutputIterator,
class BinaryOperation, class UnaryOperation>
constexpr OutputIterator // constexpr since C++20
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>
constexpr OutputIterator // constexpr since C++20
transform_inclusive_scan(InputIterator first, InputIterator last,
OutputIterator result,
BinaryOperation binary_op, UnaryOperation unary_op,
T init); // C++17
template <class InputIterator, class OutputIterator>
constexpr OutputIterator // constexpr since C++20
adjacent_difference(InputIterator first, InputIterator last, OutputIterator result);
template <class InputIterator, class OutputIterator, class BinaryOperation>
constexpr OutputIterator // constexpr since C++20
adjacent_difference(InputIterator first, InputIterator last, OutputIterator result, BinaryOperation binary_op);
template <class ForwardIterator, class T>
constexpr void // constexpr since C++20
iota(ForwardIterator first, ForwardIterator last, T value);
template <class M, class N>
constexpr common_type_t<M,N> gcd(M m, N n); // C++17
template <class M, class N>
constexpr common_type_t<M,N> lcm(M m, N n); // C++17
template<class T>
constexpr T midpoint(T a, T b) noexcept; // C++20
template<class T>
constexpr T* midpoint(T* a, T* b); // C++20
// [numeric.sat], saturation arithmetic
template<class T>
constexpr T add_sat(T x, T y) noexcept; // freestanding, Since C++26
template<class T>
constexpr T sub_sat(T x, T y) noexcept; // freestanding, Since C++26
template<class T>
constexpr T mul_sat(T x, T y) noexcept; // freestanding, Since C++26
template<class T>
constexpr T div_sat(T x, T y) noexcept; // freestanding, Since C++26
template<class T, class U>
constexpr T saturate_cast(U x) noexcept; // freestanding, Since C++26
} // std
*/
#if __cplusplus < 201103L && defined(_LIBCPP_USE_FROZEN_CXX03_HEADERS)
# include <__cxx03/numeric>
#else
# include <__config>
# include <__numeric/accumulate.h>
# include <__numeric/adjacent_difference.h>
# include <__numeric/inner_product.h>
# include <__numeric/iota.h>
# include <__numeric/partial_sum.h>
# if _LIBCPP_STD_VER >= 17
# include <__numeric/exclusive_scan.h>
# include <__numeric/gcd_lcm.h>
# include <__numeric/inclusive_scan.h>
# include <__numeric/pstl.h>
# include <__numeric/ranges_iota.h>
# include <__numeric/reduce.h>
# include <__numeric/transform_exclusive_scan.h>
# include <__numeric/transform_inclusive_scan.h>
# include <__numeric/transform_reduce.h>
# endif
# if _LIBCPP_STD_VER >= 20
# include <__numeric/midpoint.h>
# include <__numeric/saturation_arithmetic.h>
# endif
# include <version>
# if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER)
# pragma GCC system_header
# endif
# if !defined(_LIBCPP_REMOVE_TRANSITIVE_INCLUDES) && _LIBCPP_STD_VER <= 14
# include <initializer_list>
# include <limits>
# endif
# if !defined(_LIBCPP_REMOVE_TRANSITIVE_INCLUDES) && _LIBCPP_STD_VER <= 20
# include <climits>
# include <cmath>
# include <concepts>
# include <cstdint>
# include <execution>
# include <functional>
# include <iterator>
# include <new>
# include <optional>
# include <type_traits>
# endif
#endif // __cplusplus < 201103L && defined(_LIBCPP_USE_FROZEN_CXX03_HEADERS)
#endif // _LIBCPP_NUMERIC