55 #ifndef _GLIBCXX_NUMERIC 56 #define _GLIBCXX_NUMERIC 1 58 #pragma GCC system_header 64 #ifdef _GLIBCXX_PARALLEL 68 #if __cplusplus >= 201402L 73 #if __cplusplus >= 201703L 77 #if __cplusplus > 201703L 89 namespace std _GLIBCXX_VISIBILITY(default)
91 _GLIBCXX_BEGIN_NAMESPACE_VERSION
93 #if __cplusplus >= 201402L 98 template<
typename _Up,
typename _Tp>
102 static_assert(is_unsigned<_Up>::value,
"result type must be unsigned");
103 static_assert(
sizeof(_Up) >=
sizeof(_Tp),
104 "result type must be at least as wide as the input type");
105 return __val < 0 ? -(_Up)__val : (_Up)__val;
108 template<
typename _Up>
void __absu(
bool) =
delete;
111 template<
typename _Tp>
113 __gcd(_Tp __m, _Tp __n)
115 static_assert(is_unsigned<_Tp>::value,
"type must be unsigned");
122 const int __i = std::__countr_zero(__m);
124 const int __j = std::__countr_zero(__n);
126 const int __k = __i < __j ? __i : __j;
142 __n >>= std::__countr_zero(__n);
147 template<
typename _Tp>
149 __lcm(_Tp __m, _Tp __n)
151 return (__m != 0 && __n != 0)
152 ? (__m / __detail::__gcd(__m, __n)) * __n
157 #if __cplusplus >= 201703L 159 #define __cpp_lib_gcd_lcm 201606 161 #define __cpp_lib_gcd 201606 162 #define __cpp_lib_lcm 201606 165 template<
typename _Mn,
typename _Nn>
166 constexpr common_type_t<_Mn, _Nn>
167 gcd(_Mn __m, _Nn __n) noexcept
169 static_assert(is_integral_v<_Mn>,
"std::gcd arguments must be integers");
170 static_assert(is_integral_v<_Nn>,
"std::gcd arguments must be integers");
171 static_assert(_Mn(2) != _Mn(1),
"std::gcd arguments must not be bool");
172 static_assert(_Nn(2) != _Nn(1),
"std::gcd arguments must not be bool");
174 return __detail::__gcd(__detail::__absu<_Up>(__m),
175 __detail::__absu<_Up>(__n));
179 template<
typename _Mn,
typename _Nn>
180 constexpr common_type_t<_Mn, _Nn>
181 lcm(_Mn __m, _Nn __n) noexcept
183 static_assert(is_integral_v<_Mn>,
"std::lcm arguments must be integers");
184 static_assert(is_integral_v<_Nn>,
"std::lcm arguments must be integers");
185 static_assert(_Mn(2) == 2,
"std::lcm arguments must not be bool");
186 static_assert(_Nn(2) == 2,
"std::lcm arguments must not be bool");
188 return __detail::__lcm(__detail::__absu<_Up>(__m),
189 __detail::__absu<_Up>(__n));
195 #if __cplusplus > 201703L 198 # define __cpp_lib_interpolate 201902L 200 template<
typename _Tp>
202 enable_if_t<__and_v<is_arithmetic<_Tp>, is_same<remove_cv_t<_Tp>, _Tp>,
203 __not_<is_same<_Tp, bool>>>,
205 midpoint(_Tp __a, _Tp __b) noexcept
207 if constexpr (is_integral_v<_Tp>)
209 using _Up = make_unsigned_t<_Tp>;
220 return __a + __k * _Tp(_Up(__M - __m) / 2);
226 const _Tp __abs_a = __a < 0 ? -__a : __a;
227 const _Tp __abs_b = __b < 0 ? -__b : __b;
228 if (__abs_a <= __hi && __abs_b <= __hi) [[likely]]
229 return (__a + __b) / 2;
234 return __a/2 + __b/2;
238 template<
typename _Tp>
239 constexpr enable_if_t<is_object_v<_Tp>, _Tp*>
240 midpoint(_Tp* __a, _Tp* __b) noexcept
242 static_assert(
sizeof(_Tp) != 0,
"type must be complete" );
243 return __a + (__b - __a) / 2;
247 #if __cplusplus >= 201703L 249 #if __cplusplus > 201703L 250 #define __cpp_lib_constexpr_numeric 201911L 275 template<
typename _InputIterator,
typename _Tp,
typename _BinaryOperation>
278 reduce(_InputIterator __first, _InputIterator __last, _Tp __init,
279 _BinaryOperation __binary_op)
282 static_assert(is_invocable_r_v<_Tp, _BinaryOperation&, _Tp&, _Tp&>);
283 static_assert(is_convertible_v<value_type, _Tp>);
284 if constexpr (__is_random_access_iter<_InputIterator>::value)
286 while ((__last - __first) >= 4)
288 _Tp __v1 = __binary_op(__first[0], __first[1]);
289 _Tp __v2 = __binary_op(__first[2], __first[3]);
290 _Tp __v3 = __binary_op(__v1, __v2);
291 __init = __binary_op(__init, __v3);
295 for (; __first != __last; ++__first)
296 __init = __binary_op(__init, *__first);
311 template<
typename _InputIterator,
typename _Tp>
314 reduce(_InputIterator __first, _InputIterator __last, _Tp __init)
328 template<
typename _InputIterator>
330 inline typename iterator_traits<_InputIterator>::value_type
331 reduce(_InputIterator __first, _InputIterator __last)
355 template<
typename _InputIterator1,
typename _InputIterator2,
typename _Tp,
356 typename _BinaryOperation1,
typename _BinaryOperation2>
360 _InputIterator2 __first2, _Tp __init,
361 _BinaryOperation1 __binary_op1,
362 _BinaryOperation2 __binary_op2)
364 if constexpr (__and_v<__is_random_access_iter<_InputIterator1>,
365 __is_random_access_iter<_InputIterator2>>)
367 while ((__last1 - __first1) >= 4)
369 _Tp __v1 = __binary_op1(__binary_op2(__first1[0], __first2[0]),
370 __binary_op2(__first1[1], __first2[1]));
371 _Tp __v2 = __binary_op1(__binary_op2(__first1[2], __first2[2]),
372 __binary_op2(__first1[3], __first2[3]));
373 _Tp __v3 = __binary_op1(__v1, __v2);
374 __init = __binary_op1(__init, __v3);
379 for (; __first1 != __last1; ++__first1, (void) ++__first2)
380 __init = __binary_op1(__init, __binary_op2(*__first1, *__first2));
399 template<
typename _InputIterator1,
typename _InputIterator2,
typename _Tp>
403 _InputIterator2 __first2, _Tp __init)
424 template<
typename _InputIterator,
typename _Tp,
425 typename _BinaryOperation,
typename _UnaryOperation>
429 _BinaryOperation __binary_op, _UnaryOperation __unary_op)
431 if constexpr (__is_random_access_iter<_InputIterator>::value)
433 while ((__last - __first) >= 4)
435 _Tp __v1 = __binary_op(__unary_op(__first[0]),
436 __unary_op(__first[1]));
437 _Tp __v2 = __binary_op(__unary_op(__first[2]),
438 __unary_op(__first[3]));
439 _Tp __v3 = __binary_op(__v1, __v2);
440 __init = __binary_op(__init, __v3);
444 for (; __first != __last; ++__first)
445 __init = __binary_op(__init, __unary_op(*__first));
467 template<
typename _InputIterator,
typename _OutputIterator,
typename _Tp,
468 typename _BinaryOperation>
472 _OutputIterator __result, _Tp __init,
473 _BinaryOperation __binary_op)
475 while (__first != __last)
478 __init = __binary_op(__init, *__first);
502 template<
typename _InputIterator,
typename _OutputIterator,
typename _Tp>
504 inline _OutputIterator
506 _OutputIterator __result, _Tp __init)
530 template<
typename _InputIterator,
typename _OutputIterator,
531 typename _BinaryOperation,
typename _Tp>
535 _OutputIterator __result, _BinaryOperation __binary_op,
538 for (; __first != __last; ++__first)
539 *__result++ = __init = __binary_op(__init, *__first);
559 template<
typename _InputIterator,
typename _OutputIterator,
560 typename _BinaryOperation>
564 _OutputIterator __result, _BinaryOperation __binary_op)
566 if (__first != __last)
568 auto __init = *__first;
569 *__result++ = __init;
571 if (__first != __last)
593 template<
typename _InputIterator,
typename _OutputIterator>
595 inline _OutputIterator
597 _OutputIterator __result)
620 template<
typename _InputIterator,
typename _OutputIterator,
typename _Tp,
621 typename _BinaryOperation,
typename _UnaryOperation>
625 _OutputIterator __result, _Tp __init,
626 _BinaryOperation __binary_op,
627 _UnaryOperation __unary_op)
629 while (__first != __last)
632 __init = __binary_op(__init, __unary_op(*__first));
659 template<
typename _InputIterator,
typename _OutputIterator,
660 typename _BinaryOperation,
typename _UnaryOperation,
typename _Tp>
664 _OutputIterator __result,
665 _BinaryOperation __binary_op,
666 _UnaryOperation __unary_op,
669 for (; __first != __last; ++__first)
670 *__result++ = __init = __binary_op(__init, __unary_op(*__first));
693 template<
typename _InputIterator,
typename _OutputIterator,
694 typename _BinaryOperation,
typename _UnaryOperation>
698 _OutputIterator __result,
699 _BinaryOperation __binary_op,
700 _UnaryOperation __unary_op)
702 if (__first != __last)
704 auto __init = __unary_op(*__first);
705 *__result++ = __init;
707 if (__first != __last)
709 __binary_op, __unary_op,
718 _GLIBCXX_END_NAMESPACE_VERSION
721 #if __cplusplus >= 201703L 723 # if _PSTL_EXECUTION_POLICIES_DEFINED 725 # include <pstl/glue_numeric_impl.h> 728 # include <pstl/glue_numeric_defs.h> 729 # define _PSTL_NUMERIC_FORWARD_DECLARED 1 733 # define __cpp_lib_parallel_algorithm 201603L typename make_unsigned< _Tp >::type make_unsigned_t
Alias template for make_unsigned.
constexpr _OutputIterator transform_inclusive_scan(_InputIterator __first, _InputIterator __last, _OutputIterator __result, _BinaryOperation __binary_op, _UnaryOperation __unary_op, _Tp __init)
Output the cumulative sum of one range to a second range.
Traits class for iterators.
One of the math functors.
constexpr _Tp reduce(_InputIterator __first, _InputIterator __last, _Tp __init, _BinaryOperation __binary_op)
Calculate reduction of values in a range.
constexpr _OutputIterator transform_exclusive_scan(_InputIterator __first, _InputIterator __last, _OutputIterator __result, _Tp __init, _BinaryOperation __binary_op, _UnaryOperation __unary_op)
Output the cumulative sum of one range to a second range.
constexpr _Tp transform_reduce(_InputIterator1 __first1, _InputIterator1 __last1, _InputIterator2 __first2, _Tp __init, _BinaryOperation1 __binary_op1, _BinaryOperation2 __binary_op2)
Combine elements from two ranges and reduce.
constexpr common_type_t< _Mn, _Nn > lcm(_Mn __m, _Nn __n) noexcept
Least common multiple.
constexpr _OutputIterator exclusive_scan(_InputIterator __first, _InputIterator __last, _OutputIterator __result, _Tp __init, _BinaryOperation __binary_op)
Output the cumulative sum of one range to a second range.
constexpr _OutputIterator inclusive_scan(_InputIterator __first, _InputIterator __last, _OutputIterator __result, _BinaryOperation __binary_op, _Tp __init)
Output the cumulative sum of one range to a second range.
constexpr std::remove_reference< _Tp >::type && move(_Tp &&__t) noexcept
Convert a value to an rvalue.
One of the math functors.
ISO C++ entities toplevel namespace is std.
Parallel STL function calls corresponding to stl_numeric.h. The functions defined here mainly do case...
static constexpr _Tp max() noexcept
constexpr common_type_t< _Mn, _Nn > gcd(_Mn __m, _Nn __n) noexcept
Greatest common divisor.
static constexpr _Tp min() noexcept