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cosmopolitan/third_party/libcxx/ratio
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++ -*-
//===---------------------------- ratio -----------------------------------===//
//
// 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_RATIO
#define _LIBCPP_RATIO
#include "third_party/libcxx/__config"
#include "third_party/libcxx/cstdint"
#include "third_party/libcxx/climits"
#include "third_party/libcxx/type_traits"
#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
/*
ratio synopsis
namespace std
{
template <intmax_t N, intmax_t D = 1>
class ratio
{
public:
static constexpr intmax_t num;
static constexpr intmax_t den;
typedef ratio<num, den> type;
};
// ratio arithmetic
template <class R1, class R2> using ratio_add = ...;
template <class R1, class R2> using ratio_subtract = ...;
template <class R1, class R2> using ratio_multiply = ...;
template <class R1, class R2> using ratio_divide = ...;
// ratio comparison
template <class R1, class R2> struct ratio_equal;
template <class R1, class R2> struct ratio_not_equal;
template <class R1, class R2> struct ratio_less;
template <class R1, class R2> struct ratio_less_equal;
template <class R1, class R2> struct ratio_greater;
template <class R1, class R2> struct ratio_greater_equal;
// convenience SI typedefs
typedef ratio<1, 1000000000000000000000000> yocto; // not supported
typedef ratio<1, 1000000000000000000000> zepto; // not supported
typedef ratio<1, 1000000000000000000> atto;
typedef ratio<1, 1000000000000000> femto;
typedef ratio<1, 1000000000000> pico;
typedef ratio<1, 1000000000> nano;
typedef ratio<1, 1000000> micro;
typedef ratio<1, 1000> milli;
typedef ratio<1, 100> centi;
typedef ratio<1, 10> deci;
typedef ratio< 10, 1> deca;
typedef ratio< 100, 1> hecto;
typedef ratio< 1000, 1> kilo;
typedef ratio< 1000000, 1> mega;
typedef ratio< 1000000000, 1> giga;
typedef ratio< 1000000000000, 1> tera;
typedef ratio< 1000000000000000, 1> peta;
typedef ratio< 1000000000000000000, 1> exa;
typedef ratio< 1000000000000000000000, 1> zetta; // not supported
typedef ratio<1000000000000000000000000, 1> yotta; // not supported
// 20.11.5, ratio comparison
template <class R1, class R2> inline constexpr bool ratio_equal_v
= ratio_equal<R1, R2>::value; // C++17
template <class R1, class R2> inline constexpr bool ratio_not_equal_v
= ratio_not_equal<R1, R2>::value; // C++17
template <class R1, class R2> inline constexpr bool ratio_less_v
= ratio_less<R1, R2>::value; // C++17
template <class R1, class R2> inline constexpr bool ratio_less_equal_v
= ratio_less_equal<R1, R2>::value; // C++17
template <class R1, class R2> inline constexpr bool ratio_greater_v
= ratio_greater<R1, R2>::value; // C++17
template <class R1, class R2> inline constexpr bool ratio_greater_equal_v
= ratio_greater_equal<R1, R2>::value; // C++17
}
*/
// __static_gcd
template <intmax_t _Xp, intmax_t _Yp>
struct __static_gcd
{
static const intmax_t value = __static_gcd<_Yp, _Xp % _Yp>::value;
};
template <intmax_t _Xp>
struct __static_gcd<_Xp, 0>
{
static const intmax_t value = _Xp;
};
template <>
struct __static_gcd<0, 0>
{
static const intmax_t value = 1;
};
// __static_lcm
template <intmax_t _Xp, intmax_t _Yp>
struct __static_lcm
{
static const intmax_t value = _Xp / __static_gcd<_Xp, _Yp>::value * _Yp;
};
template <intmax_t _Xp>
struct __static_abs
{
static const intmax_t value = _Xp < 0 ? -_Xp : _Xp;
};
template <intmax_t _Xp>
struct __static_sign
{
static const intmax_t value = _Xp == 0 ? 0 : (_Xp < 0 ? -1 : 1);
};
template <intmax_t _Xp, intmax_t _Yp, intmax_t = __static_sign<_Yp>::value>
class __ll_add;
template <intmax_t _Xp, intmax_t _Yp>
class __ll_add<_Xp, _Yp, 1>
{
static const intmax_t min = (1LL << (sizeof(intmax_t) * CHAR_BIT - 1)) + 1;
static const intmax_t max = -min;
static_assert(_Xp <= max - _Yp, "overflow in __ll_add");
public:
static const intmax_t value = _Xp + _Yp;
};
template <intmax_t _Xp, intmax_t _Yp>
class __ll_add<_Xp, _Yp, 0>
{
public:
static const intmax_t value = _Xp;
};
template <intmax_t _Xp, intmax_t _Yp>
class __ll_add<_Xp, _Yp, -1>
{
static const intmax_t min = (1LL << (sizeof(intmax_t) * CHAR_BIT - 1)) + 1;
static const intmax_t max = -min;
static_assert(min - _Yp <= _Xp, "overflow in __ll_add");
public:
static const intmax_t value = _Xp + _Yp;
};
template <intmax_t _Xp, intmax_t _Yp, intmax_t = __static_sign<_Yp>::value>
class __ll_sub;
template <intmax_t _Xp, intmax_t _Yp>
class __ll_sub<_Xp, _Yp, 1>
{
static const intmax_t min = (1LL << (sizeof(intmax_t) * CHAR_BIT - 1)) + 1;
static const intmax_t max = -min;
static_assert(min + _Yp <= _Xp, "overflow in __ll_sub");
public:
static const intmax_t value = _Xp - _Yp;
};
template <intmax_t _Xp, intmax_t _Yp>
class __ll_sub<_Xp, _Yp, 0>
{
public:
static const intmax_t value = _Xp;
};
template <intmax_t _Xp, intmax_t _Yp>
class __ll_sub<_Xp, _Yp, -1>
{
static const intmax_t min = (1LL << (sizeof(intmax_t) * CHAR_BIT - 1)) + 1;
static const intmax_t max = -min;
static_assert(_Xp <= max + _Yp, "overflow in __ll_sub");
public:
static const intmax_t value = _Xp - _Yp;
};
template <intmax_t _Xp, intmax_t _Yp>
class __ll_mul
{
static const intmax_t nan = (1LL << (sizeof(intmax_t) * CHAR_BIT - 1));
static const intmax_t min = nan + 1;
static const intmax_t max = -min;
static const intmax_t __a_x = __static_abs<_Xp>::value;
static const intmax_t __a_y = __static_abs<_Yp>::value;
static_assert(_Xp != nan && _Yp != nan && __a_x <= max / __a_y, "overflow in __ll_mul");
public:
static const intmax_t value = _Xp * _Yp;
};
template <intmax_t _Yp>
class __ll_mul<0, _Yp>
{
public:
static const intmax_t value = 0;
};
template <intmax_t _Xp>
class __ll_mul<_Xp, 0>
{
public:
static const intmax_t value = 0;
};
template <>
class __ll_mul<0, 0>
{
public:
static const intmax_t value = 0;
};
// Not actually used but left here in case needed in future maintenance
template <intmax_t _Xp, intmax_t _Yp>
class __ll_div
{
static const intmax_t nan = (1LL << (sizeof(intmax_t) * CHAR_BIT - 1));
static const intmax_t min = nan + 1;
static const intmax_t max = -min;
static_assert(_Xp != nan && _Yp != nan && _Yp != 0, "overflow in __ll_div");
public:
static const intmax_t value = _Xp / _Yp;
};
template <intmax_t _Num, intmax_t _Den = 1>
class _LIBCPP_TEMPLATE_VIS ratio
{
static_assert(__static_abs<_Num>::value >= 0, "ratio numerator is out of range");
static_assert(_Den != 0, "ratio divide by 0");
static_assert(__static_abs<_Den>::value > 0, "ratio denominator is out of range");
static _LIBCPP_CONSTEXPR const intmax_t __na = __static_abs<_Num>::value;
static _LIBCPP_CONSTEXPR const intmax_t __da = __static_abs<_Den>::value;
static _LIBCPP_CONSTEXPR const intmax_t __s = __static_sign<_Num>::value * __static_sign<_Den>::value;
static _LIBCPP_CONSTEXPR const intmax_t __gcd = __static_gcd<__na, __da>::value;
public:
static _LIBCPP_CONSTEXPR const intmax_t num = __s * __na / __gcd;
static _LIBCPP_CONSTEXPR const intmax_t den = __da / __gcd;
typedef ratio<num, den> type;
};
template <intmax_t _Num, intmax_t _Den>
_LIBCPP_CONSTEXPR const intmax_t ratio<_Num, _Den>::num;
template <intmax_t _Num, intmax_t _Den>
_LIBCPP_CONSTEXPR const intmax_t ratio<_Num, _Den>::den;
template <class _Tp> struct __is_ratio : false_type {};
template <intmax_t _Num, intmax_t _Den> struct __is_ratio<ratio<_Num, _Den> > : true_type {};
typedef ratio<1LL, 1000000000000000000LL> atto;
typedef ratio<1LL, 1000000000000000LL> femto;
typedef ratio<1LL, 1000000000000LL> pico;
typedef ratio<1LL, 1000000000LL> nano;
typedef ratio<1LL, 1000000LL> micro;
typedef ratio<1LL, 1000LL> milli;
typedef ratio<1LL, 100LL> centi;
typedef ratio<1LL, 10LL> deci;
typedef ratio< 10LL, 1LL> deca;
typedef ratio< 100LL, 1LL> hecto;
typedef ratio< 1000LL, 1LL> kilo;
typedef ratio< 1000000LL, 1LL> mega;
typedef ratio< 1000000000LL, 1LL> giga;
typedef ratio< 1000000000000LL, 1LL> tera;
typedef ratio< 1000000000000000LL, 1LL> peta;
typedef ratio<1000000000000000000LL, 1LL> exa;
template <class _R1, class _R2>
struct __ratio_multiply
{
private:
static const intmax_t __gcd_n1_d2 = __static_gcd<_R1::num, _R2::den>::value;
static const intmax_t __gcd_d1_n2 = __static_gcd<_R1::den, _R2::num>::value;
public:
typedef typename ratio
<
__ll_mul<_R1::num / __gcd_n1_d2, _R2::num / __gcd_d1_n2>::value,
__ll_mul<_R2::den / __gcd_n1_d2, _R1::den / __gcd_d1_n2>::value
>::type type;
};
#ifndef _LIBCPP_CXX03_LANG
template <class _R1, class _R2> using ratio_multiply
= typename __ratio_multiply<_R1, _R2>::type;
#else // _LIBCPP_CXX03_LANG
template <class _R1, class _R2>
struct _LIBCPP_TEMPLATE_VIS ratio_multiply
: public __ratio_multiply<_R1, _R2>::type {};
#endif // _LIBCPP_CXX03_LANG
template <class _R1, class _R2>
struct __ratio_divide
{
private:
static const intmax_t __gcd_n1_n2 = __static_gcd<_R1::num, _R2::num>::value;
static const intmax_t __gcd_d1_d2 = __static_gcd<_R1::den, _R2::den>::value;
public:
typedef typename ratio
<
__ll_mul<_R1::num / __gcd_n1_n2, _R2::den / __gcd_d1_d2>::value,
__ll_mul<_R2::num / __gcd_n1_n2, _R1::den / __gcd_d1_d2>::value
>::type type;
};
#ifndef _LIBCPP_CXX03_LANG
template <class _R1, class _R2> using ratio_divide
= typename __ratio_divide<_R1, _R2>::type;
#else // _LIBCPP_CXX03_LANG
template <class _R1, class _R2>
struct _LIBCPP_TEMPLATE_VIS ratio_divide
: public __ratio_divide<_R1, _R2>::type {};
#endif // _LIBCPP_CXX03_LANG
template <class _R1, class _R2>
struct __ratio_add
{
private:
static const intmax_t __gcd_n1_n2 = __static_gcd<_R1::num, _R2::num>::value;
static const intmax_t __gcd_d1_d2 = __static_gcd<_R1::den, _R2::den>::value;
public:
typedef typename ratio_multiply
<
ratio<__gcd_n1_n2, _R1::den / __gcd_d1_d2>,
ratio
<
__ll_add
<
__ll_mul<_R1::num / __gcd_n1_n2, _R2::den / __gcd_d1_d2>::value,
__ll_mul<_R2::num / __gcd_n1_n2, _R1::den / __gcd_d1_d2>::value
>::value,
_R2::den
>
>::type type;
};
#ifndef _LIBCPP_CXX03_LANG
template <class _R1, class _R2> using ratio_add
= typename __ratio_add<_R1, _R2>::type;
#else // _LIBCPP_CXX03_LANG
template <class _R1, class _R2>
struct _LIBCPP_TEMPLATE_VIS ratio_add
: public __ratio_add<_R1, _R2>::type {};
#endif // _LIBCPP_CXX03_LANG
template <class _R1, class _R2>
struct __ratio_subtract
{
private:
static const intmax_t __gcd_n1_n2 = __static_gcd<_R1::num, _R2::num>::value;
static const intmax_t __gcd_d1_d2 = __static_gcd<_R1::den, _R2::den>::value;
public:
typedef typename ratio_multiply
<
ratio<__gcd_n1_n2, _R1::den / __gcd_d1_d2>,
ratio
<
__ll_sub
<
__ll_mul<_R1::num / __gcd_n1_n2, _R2::den / __gcd_d1_d2>::value,
__ll_mul<_R2::num / __gcd_n1_n2, _R1::den / __gcd_d1_d2>::value
>::value,
_R2::den
>
>::type type;
};
#ifndef _LIBCPP_CXX03_LANG
template <class _R1, class _R2> using ratio_subtract
= typename __ratio_subtract<_R1, _R2>::type;
#else // _LIBCPP_CXX03_LANG
template <class _R1, class _R2>
struct _LIBCPP_TEMPLATE_VIS ratio_subtract
: public __ratio_subtract<_R1, _R2>::type {};
#endif // _LIBCPP_CXX03_LANG
// ratio_equal
template <class _R1, class _R2>
struct _LIBCPP_TEMPLATE_VIS ratio_equal
: public _LIBCPP_BOOL_CONSTANT((_R1::num == _R2::num && _R1::den == _R2::den)) {};
template <class _R1, class _R2>
struct _LIBCPP_TEMPLATE_VIS ratio_not_equal
: public _LIBCPP_BOOL_CONSTANT((!ratio_equal<_R1, _R2>::value)) {};
// ratio_less
template <class _R1, class _R2, bool _Odd = false,
intmax_t _Q1 = _R1::num / _R1::den, intmax_t _M1 = _R1::num % _R1::den,
intmax_t _Q2 = _R2::num / _R2::den, intmax_t _M2 = _R2::num % _R2::den>
struct __ratio_less1
{
static const bool value = _Odd ? _Q2 < _Q1 : _Q1 < _Q2;
};
template <class _R1, class _R2, bool _Odd, intmax_t _Qp>
struct __ratio_less1<_R1, _R2, _Odd, _Qp, 0, _Qp, 0>
{
static const bool value = false;
};
template <class _R1, class _R2, bool _Odd, intmax_t _Qp, intmax_t _M2>
struct __ratio_less1<_R1, _R2, _Odd, _Qp, 0, _Qp, _M2>
{
static const bool value = !_Odd;
};
template <class _R1, class _R2, bool _Odd, intmax_t _Qp, intmax_t _M1>
struct __ratio_less1<_R1, _R2, _Odd, _Qp, _M1, _Qp, 0>
{
static const bool value = _Odd;
};
template <class _R1, class _R2, bool _Odd, intmax_t _Qp, intmax_t _M1,
intmax_t _M2>
struct __ratio_less1<_R1, _R2, _Odd, _Qp, _M1, _Qp, _M2>
{
static const bool value = __ratio_less1<ratio<_R1::den, _M1>,
ratio<_R2::den, _M2>, !_Odd>::value;
};
template <class _R1, class _R2, intmax_t _S1 = __static_sign<_R1::num>::value,
intmax_t _S2 = __static_sign<_R2::num>::value>
struct __ratio_less
{
static const bool value = _S1 < _S2;
};
template <class _R1, class _R2>
struct __ratio_less<_R1, _R2, 1LL, 1LL>
{
static const bool value = __ratio_less1<_R1, _R2>::value;
};
template <class _R1, class _R2>
struct __ratio_less<_R1, _R2, -1LL, -1LL>
{
static const bool value = __ratio_less1<ratio<-_R2::num, _R2::den>, ratio<-_R1::num, _R1::den> >::value;
};
template <class _R1, class _R2>
struct _LIBCPP_TEMPLATE_VIS ratio_less
: public _LIBCPP_BOOL_CONSTANT((__ratio_less<_R1, _R2>::value)) {};
template <class _R1, class _R2>
struct _LIBCPP_TEMPLATE_VIS ratio_less_equal
: public _LIBCPP_BOOL_CONSTANT((!ratio_less<_R2, _R1>::value)) {};
template <class _R1, class _R2>
struct _LIBCPP_TEMPLATE_VIS ratio_greater
: public _LIBCPP_BOOL_CONSTANT((ratio_less<_R2, _R1>::value)) {};
template <class _R1, class _R2>
struct _LIBCPP_TEMPLATE_VIS ratio_greater_equal
: public _LIBCPP_BOOL_CONSTANT((!ratio_less<_R1, _R2>::value)) {};
template <class _R1, class _R2>
struct __ratio_gcd
{
typedef ratio<__static_gcd<_R1::num, _R2::num>::value,
__static_lcm<_R1::den, _R2::den>::value> type;
};
#if _LIBCPP_STD_VER > 14 && !defined(_LIBCPP_HAS_NO_VARIABLE_TEMPLATES)
template <class _R1, class _R2>
_LIBCPP_INLINE_VAR _LIBCPP_CONSTEXPR bool ratio_equal_v
= ratio_equal<_R1, _R2>::value;
template <class _R1, class _R2>
_LIBCPP_INLINE_VAR _LIBCPP_CONSTEXPR bool ratio_not_equal_v
= ratio_not_equal<_R1, _R2>::value;
template <class _R1, class _R2>
_LIBCPP_INLINE_VAR _LIBCPP_CONSTEXPR bool ratio_less_v
= ratio_less<_R1, _R2>::value;
template <class _R1, class _R2>
_LIBCPP_INLINE_VAR _LIBCPP_CONSTEXPR bool ratio_less_equal_v
= ratio_less_equal<_R1, _R2>::value;
template <class _R1, class _R2>
_LIBCPP_INLINE_VAR _LIBCPP_CONSTEXPR bool ratio_greater_v
= ratio_greater<_R1, _R2>::value;
template <class _R1, class _R2>
_LIBCPP_INLINE_VAR _LIBCPP_CONSTEXPR bool ratio_greater_equal_v
= ratio_greater_equal<_R1, _R2>::value;
#endif
_LIBCPP_END_NAMESPACE_STD
_LIBCPP_POP_MACROS
#endif // _LIBCPP_RATIO
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