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cosmopolitan/third_party/libcxx/numeric
Justine Tunney cf93ecbbb2 Prove that Makefile is fully defined 
The whole repository is now buildable with GNU Make Landlock sandboxing.
This proves that no Makefile targets exist which touch files other than
their declared prerequisites. In order to do this, we had to:

  1. Stop code morphing GCC output in package.com and instead run a
     newly introduced FIXUPOBJ.COM command after GCC invocations.

  2. Disable all the crumby Python unit tests that do things like create
     files in the current directory, or rename() files between folders.
     This ended up being a lot of tests, but most of them are still ok.

  3. Introduce an .UNSANDBOXED variable to GNU Make to disable Landlock.
     We currently only do this for things like `make tags`.

  4. This change deletes some GNU Make code that was preventing the
     execve() optimization from working. This means it should no longer
     be necessary in most cases for command invocations to be indirected
     through the cocmd interpreter.

  5. Missing dependencies had to be declared in certain places, in cases
     where they couldn't be automatically determined by MKDEPS.COM

  6. The libcxx header situation has finally been tamed. One of the
     things that makes this difficult is MKDEPS.COM only wants to
     consider the first 64kb of a file, in order to go fast. But libcxx
     likes to have #include lines buried after huge documentation.

  7. An .UNVEIL variable has been introduced to GNU Make just in case
     we ever wish to explicitly specify additional things that need to
     be whitelisted which aren't strictly prerequisites. This works in
     a manner similar to the recently introduced .EXTRA_PREREQS feature.

There's now a new build/bootstrap/make.com prebuilt binary available. It
should no longer be possible to write invalid Makefile code.
2022-08-06 04:05:08 -07:00

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// -*- C++ -*-
//===---------------------------- numeric ---------------------------------===//
//
// 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
#include "third_party/libcxx/__config"
#include "third_party/libcxx/iterator"
#include "third_party/libcxx/limits" // for numeric_limits
#include "third_party/libcxx/functional"
#include "third_party/libcxx/cmath" // for isnormal
#include "third_party/libcxx/version"
#if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER)
#pragma GCC system_header
#endif
_LIBCPP_PUSH_MACROS
#include "third_party/libcxx/__undef_macros"
_LIBCPP_BEGIN_NAMESPACE_STD
/*
numeric synopsis
namespace 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++17
template<class InputIterator, class T>
T
reduce(InputIterator first, InputIterator last, T init); // C++17
template<class InputIterator, class T, class BinaryOperation>
T
reduce(InputIterator first, InputIterator last, T init, BinaryOperation binary_op); // C++17
template <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++17
template<class InputIterator, class T, class BinaryOperation, class UnaryOperation>
T
transform_reduce(InputIterator first, InputIterator last, T init,
BinaryOperation binary_op, UnaryOperation unary_op); // C++17
template <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++17
template<class InputIterator, class OutputIterator>
OutputIterator
inclusive_scan(InputIterator first, InputIterator last, OutputIterator result); // C++17
template<class InputIterator, class OutputIterator, class BinaryOperation>
OutputIterator
inclusive_scan(InputIterator first, InputIterator last,
OutputIterator result, BinaryOperation binary_op); // C++17
template<class InputIterator, class OutputIterator, class BinaryOperation, class T>
OutputIterator
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>
OutputIterator
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>
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++17
template <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++17
template <class M, class N>
constexpr common_type_t<M,N> lcm(M m, N n); // C++17
integer midpoint(integer a, integer b); // C++20
pointer midpoint(pointer a, pointer b); // C++20
floating_point midpoint(floating_point a, floating_point b); // C++20
} // std
*/
template <class _InputIterator, class _Tp>
inline _LIBCPP_INLINE_VISIBILITY
_Tp
accumulate(_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
_Tp
accumulate(_InputIterator __first, _InputIterator __last, _Tp __init, _BinaryOperation __binary_op)
{
for (; __first != __last; ++__first)
__init = __binary_op(__init, *__first);
return __init;
}
#if _LIBCPP_STD_VER > 14
template <class _InputIterator, class _Tp, class _BinaryOp>
inline _LIBCPP_INLINE_VISIBILITY
_Tp
reduce(_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
_Tp
reduce(_InputIterator __first, _InputIterator __last, _Tp __init)
{
return _VSTD::reduce(__first, __last, __init, _VSTD::plus<>());
}
template <class _InputIterator>
inline _LIBCPP_INLINE_VISIBILITY
typename iterator_traits<_InputIterator>::value_type
reduce(_InputIterator __first, _InputIterator __last)
{
return _VSTD::reduce(__first, __last,
typename iterator_traits<_InputIterator>::value_type{});
}
#endif
template <class _InputIterator1, class _InputIterator2, class _Tp>
inline _LIBCPP_INLINE_VISIBILITY
_Tp
inner_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
_Tp
inner_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 > 14
template <class _InputIterator, class _Tp, class _BinaryOp, class _UnaryOp>
inline _LIBCPP_INLINE_VISIBILITY
_Tp
transform_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
_Tp
transform_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
_Tp
transform_reduce(_InputIterator1 __first1, _InputIterator1 __last1,
_InputIterator2 __first2, _Tp __init)
{
return _VSTD::transform_reduce(__first1, __last1, __first2, _VSTD::move(__init),
_VSTD::plus<>(), _VSTD::multiplies<>());
}
#endif
template <class _InputIterator, class _OutputIterator>
inline _LIBCPP_INLINE_VISIBILITY
_OutputIterator
partial_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
_OutputIterator
partial_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 > 14
template <class _InputIterator, class _OutputIterator, class _Tp, class _BinaryOp>
inline _LIBCPP_INLINE_VISIBILITY
_OutputIterator
exclusive_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
_OutputIterator
exclusive_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
_OutputIterator
transform_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;
}
#endif
template <class _InputIterator, class _OutputIterator>
inline _LIBCPP_INLINE_VISIBILITY
_OutputIterator
adjacent_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
_OutputIterator
adjacent_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_VISIBILITY
void
iota(_ForwardIterator __first, _ForwardIterator __last, _Tp __value_)
{
for (; __first != __last; ++__first, (void) ++__value_)
*__first = __value_;
}
#if _LIBCPP_STD_VER > 14
template <typename _Result, typename _Source, bool _IsSigned = is_signed<_Source>::value> struct __ct_abs;
template <typename _Result, typename _Source>
struct __ct_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 __ct_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_VISIBILITY
common_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>(__ct_abs<_Rp, _Tp>()(__m)),
static_cast<_Wp>(__ct_abs<_Rp, _Up>()(__n))));
}
template<class _Tp, class _Up>
_LIBCPP_CONSTEXPR _LIBCPP_INLINE_VISIBILITY
common_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 = __ct_abs<_Rp, _Tp>()(__m) / _VSTD::gcd(__m, __n);
_Rp __val2 = __ct_abs<_Rp, _Up>()(__n);
_LIBCPP_ASSERT((numeric_limits<_Rp>::max() / __val1 > __val2), "Overflow in lcm");
return __val1 * __val2;
}
#endif /* _LIBCPP_STD_VER > 14 */
#if _LIBCPP_STD_VER > 17
template <class _Tp>
_LIBCPP_INLINE_VISIBILITY constexpr
enable_if_t<is_integral_v<_Tp> && !is_same_v<bool, _Tp> && !is_null_pointer_v<_Tp>, _Tp>
midpoint(_Tp __a, _Tp __b) noexcept
_LIBCPP_DISABLE_UBSAN_UNSIGNED_INTEGER_CHECK
{
using _Up = std::make_unsigned_t<_Tp>;
int __sign = 1;
_Up __m = __a;
_Up __M = __b;
if (__a > __b)
{
__sign = -1;
__m = __b;
__M = __a;
}
return __a + __sign * _Tp(_Up(__M-__m) >> 1);
}
template <class _TPtr>
_LIBCPP_INLINE_VISIBILITY constexpr
enable_if_t<is_pointer_v<_TPtr>
&& is_object_v<remove_pointer_t<_TPtr>>
&& ! is_void_v<remove_pointer_t<_TPtr>>
&& (sizeof(remove_pointer_t<_TPtr>) > 0), _TPtr>
midpoint(_TPtr __a, _TPtr __b) noexcept
{
return __a + _VSTD::midpoint(ptrdiff_t(0), __b - __a);
}
template <typename _Tp>
constexpr int __sign(_Tp __val) {
return (_Tp(0) < __val) - (__val < _Tp(0));
}
template <typename _Fp>
constexpr _Fp __fp_abs(_Fp __f) { return __f >= 0 ? __f : -__f; }
template <class _Fp>
_LIBCPP_INLINE_VISIBILITY constexpr
enable_if_t<is_floating_point_v<_Fp>, _Fp>
midpoint(_Fp __a, _Fp __b) noexcept
{
constexpr _Fp __lo = numeric_limits<_Fp>::min()*2;
constexpr _Fp __hi = numeric_limits<_Fp>::max()/2;
return __fp_abs(__a) <= __hi && __fp_abs(__b) <= __hi ? // typical case: overflow is impossible
(__a + __b)/2 : // always correctly rounded
__fp_abs(__a) < __lo ? __a + __b/2 : // not safe to halve a
__fp_abs(__a) < __lo ? __a/2 + __b : // not safe to halve b
__a/2 + __b/2; // otherwise correctly rounded
}
#endif // _LIBCPP_STD_VER > 17
_LIBCPP_END_NAMESPACE_STD
_LIBCPP_POP_MACROS
#if defined(_LIBCPP_HAS_PARALLEL_ALGORITHMS) && _LIBCPP_STD_VER >= 17
# include "third_party/libcxx/__pstl_numeric"
#endif
#endif // _LIBCPP_NUMERIC
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