55 #ifndef _GLIBCXX_NUMERIC
56 #define _GLIBCXX_NUMERIC 1
58 #pragma GCC system_header
64 #ifdef _GLIBCXX_PARALLEL
76 #if __cplusplus >= 201402L
79 namespace std _GLIBCXX_VISIBILITY(default)
81 _GLIBCXX_BEGIN_NAMESPACE_VERSION
86 template<
typename _Tp>
88 enable_if_t<__and_<is_integral<_Tp>, is_signed<_Tp>>::value, _Tp>
89 __abs_integral(_Tp __val)
90 {
return __val < 0 ? -__val : __val; }
92 template<
typename _Tp>
94 enable_if_t<__and_<is_integral<_Tp>, is_unsigned<_Tp>>::value, _Tp>
95 __abs_integral(_Tp __val)
98 void __abs_integral(
bool) =
delete;
100 template<
typename _Mn,
typename _Nn>
101 constexpr common_type_t<_Mn, _Nn>
102 __gcd(_Mn __m, _Nn __n)
104 return __m == 0 ? __detail::__abs_integral(__n)
105 : __n == 0 ? __detail::__abs_integral(__m)
106 : __detail::__gcd(__n, __m % __n);
110 template<
typename _Mn,
typename _Nn>
111 constexpr common_type_t<_Mn, _Nn>
114 return (__m != 0 && __n != 0)
115 ? (__detail::__abs_integral(__m) / __detail::__gcd(__m, __n))
116 * __detail::__abs_integral(__n)
121 #if __cplusplus >= 201703L
123 #define __cpp_lib_gcd_lcm 201606
125 #define __cpp_lib_gcd 201606
126 #define __cpp_lib_lcm 201606
129 template<
typename _Mn,
typename _Nn>
130 constexpr common_type_t<_Mn, _Nn>
131 gcd(_Mn __m, _Nn __n)
133 static_assert(is_integral_v<_Mn>,
"gcd arguments are integers");
134 static_assert(is_integral_v<_Nn>,
"gcd arguments are integers");
135 static_assert(!is_same_v<remove_cv_t<_Mn>,
bool>,
136 "gcd arguments are not bools");
137 static_assert(!is_same_v<remove_cv_t<_Nn>,
bool>,
138 "gcd arguments are not bools");
139 return __detail::__gcd(__m, __n);
143 template<
typename _Mn,
typename _Nn>
144 constexpr common_type_t<_Mn, _Nn>
145 lcm(_Mn __m, _Nn __n)
147 static_assert(is_integral_v<_Mn>,
"lcm arguments are integers");
148 static_assert(is_integral_v<_Nn>,
"lcm arguments are integers");
149 static_assert(!is_same_v<remove_cv_t<_Mn>,
bool>,
150 "lcm arguments are not bools");
151 static_assert(!is_same_v<remove_cv_t<_Nn>,
bool>,
152 "lcm arguments are not bools");
158 _GLIBCXX_END_NAMESPACE_VERSION
163 #if __cplusplus > 201703L
166 namespace std _GLIBCXX_VISIBILITY(default)
168 _GLIBCXX_BEGIN_NAMESPACE_VERSION
170 # define __cpp_lib_interpolate 201902L
172 template<
typename _Tp>
174 enable_if_t<__and_v<is_arithmetic<_Tp>, is_same<remove_cv_t<_Tp>, _Tp>,
175 __not_<is_same<_Tp, bool>>>,
177 midpoint(_Tp __a, _Tp __b) noexcept
179 if constexpr (is_integral_v<_Tp>)
181 using _Up = make_unsigned_t<_Tp>;
192 return __a + __k * _Tp(_Up(__M - __m) / 2);
198 const _Tp __abs_a = __a < 0 ? -__a : __a;
199 const _Tp __abs_b = __b < 0 ? -__b : __b;
200 if (__abs_a <= __hi && __abs_b <= __hi) [[likely]]
201 return (__a + __b) / 2;
206 return __a/2 + __b/2;
210 template<
typename _Tp>
211 constexpr enable_if_t<is_object_v<_Tp>, _Tp*>
212 midpoint(_Tp* __a, _Tp* __b) noexcept
214 static_assert(
sizeof(_Tp) != 0,
"type must be complete" );
215 return __a + (__b - __a) / 2;
217 _GLIBCXX_END_NAMESPACE_VERSION
222 #if __cplusplus > 201402L
225 namespace std _GLIBCXX_VISIBILITY(default)
227 _GLIBCXX_BEGIN_NAMESPACE_VERSION
251 template<
typename _InputIterator,
typename _Tp,
typename _BinaryOperation>
253 reduce(_InputIterator __first, _InputIterator __last, _Tp __init,
254 _BinaryOperation __binary_op)
256 using value_type =
typename iterator_traits<_InputIterator>::value_type;
257 static_assert(is_invocable_r_v<_Tp, _BinaryOperation&, _Tp&, _Tp&>);
258 static_assert(is_convertible_v<value_type, _Tp>);
259 if constexpr (__is_random_access_iter<_InputIterator>::value)
261 while ((__last - __first) >= 4)
263 _Tp __v1 = __binary_op(__first[0], __first[1]);
264 _Tp __v2 = __binary_op(__first[2], __first[3]);
265 _Tp __v3 = __binary_op(__v1, __v2);
266 __init = __binary_op(__init, __v3);
270 for (; __first != __last; ++__first)
271 __init = __binary_op(__init, *__first);
286 template<
typename _InputIterator,
typename _Tp>
288 reduce(_InputIterator __first, _InputIterator __last, _Tp __init)
289 {
return std::reduce(__first, __last,
std::move(__init), plus<>()); }
302 template<
typename _InputIterator>
303 inline typename iterator_traits<_InputIterator>::value_type
304 reduce(_InputIterator __first, _InputIterator __last)
306 using value_type =
typename iterator_traits<_InputIterator>::value_type;
307 return std::reduce(__first, __last, value_type{}, plus<>());
328 template<
typename _InputIterator1,
typename _InputIterator2,
typename _Tp,
329 typename _BinaryOperation1,
typename _BinaryOperation2>
331 transform_reduce(_InputIterator1 __first1, _InputIterator1 __last1,
332 _InputIterator2 __first2, _Tp __init,
333 _BinaryOperation1 __binary_op1,
334 _BinaryOperation2 __binary_op2)
336 if constexpr (__and_v<__is_random_access_iter<_InputIterator1>,
337 __is_random_access_iter<_InputIterator2>>)
339 while ((__last1 - __first1) >= 4)
341 _Tp __v1 = __binary_op1(__binary_op2(__first1[0], __first2[0]),
342 __binary_op2(__first1[1], __first2[1]));
343 _Tp __v2 = __binary_op1(__binary_op2(__first1[2], __first2[2]),
344 __binary_op2(__first1[3], __first2[3]));
345 _Tp __v3 = __binary_op1(__v1, __v2);
346 __init = __binary_op1(__init, __v3);
351 for (; __first1 != __last1; ++__first1, (void) ++__first2)
352 __init = __binary_op1(__init, __binary_op2(*__first1, *__first2));
371 template<
typename _InputIterator1,
typename _InputIterator2,
typename _Tp>
373 transform_reduce(_InputIterator1 __first1, _InputIterator1 __last1,
374 _InputIterator2 __first2, _Tp __init)
376 return std::transform_reduce(__first1, __last1, __first2,
378 plus<>(), multiplies<>());
395 template<
typename _InputIterator,
typename _Tp,
396 typename _BinaryOperation,
typename _UnaryOperation>
398 transform_reduce(_InputIterator __first, _InputIterator __last, _Tp __init,
399 _BinaryOperation __binary_op, _UnaryOperation __unary_op)
401 if constexpr (__is_random_access_iter<_InputIterator>::value)
403 while ((__last - __first) >= 4)
405 _Tp __v1 = __binary_op(__unary_op(__first[0]),
406 __unary_op(__first[1]));
407 _Tp __v2 = __binary_op(__unary_op(__first[2]),
408 __unary_op(__first[3]));
409 _Tp __v3 = __binary_op(__v1, __v2);
410 __init = __binary_op(__init, __v3);
414 for (; __first != __last; ++__first)
415 __init = __binary_op(__init, __unary_op(*__first));
437 template<
typename _InputIterator,
typename _OutputIterator,
typename _Tp,
438 typename _BinaryOperation>
440 exclusive_scan(_InputIterator __first, _InputIterator __last,
441 _OutputIterator __result, _Tp __init,
442 _BinaryOperation __binary_op)
444 while (__first != __last)
447 __init = __binary_op(__init, *__first);
471 template<
typename _InputIterator,
typename _OutputIterator,
typename _Tp>
472 inline _OutputIterator
473 exclusive_scan(_InputIterator __first, _InputIterator __last,
474 _OutputIterator __result, _Tp __init)
476 return std::exclusive_scan(__first, __last, __result,
std::move(__init),
498 template<
typename _InputIterator,
typename _OutputIterator,
499 typename _BinaryOperation,
typename _Tp>
501 inclusive_scan(_InputIterator __first, _InputIterator __last,
502 _OutputIterator __result, _BinaryOperation __binary_op,
505 for (; __first != __last; ++__first)
506 *__result++ = __init = __binary_op(__init, *__first);
526 template<
typename _InputIterator,
typename _OutputIterator,
527 typename _BinaryOperation>
529 inclusive_scan(_InputIterator __first, _InputIterator __last,
530 _OutputIterator __result, _BinaryOperation __binary_op)
532 if (__first != __last)
534 auto __init = *__first;
535 *__result++ = __init;
537 if (__first != __last)
538 __result = std::inclusive_scan(__first, __last, __result,
559 template<
typename _InputIterator,
typename _OutputIterator>
560 inline _OutputIterator
561 inclusive_scan(_InputIterator __first, _InputIterator __last,
562 _OutputIterator __result)
563 {
return std::inclusive_scan(__first, __last, __result, plus<>()); }
585 template<
typename _InputIterator,
typename _OutputIterator,
typename _Tp,
586 typename _BinaryOperation,
typename _UnaryOperation>
588 transform_exclusive_scan(_InputIterator __first, _InputIterator __last,
589 _OutputIterator __result, _Tp __init,
590 _BinaryOperation __binary_op,
591 _UnaryOperation __unary_op)
593 while (__first != __last)
596 __init = __binary_op(__init, __unary_op(*__first));
623 template<
typename _InputIterator,
typename _OutputIterator,
624 typename _BinaryOperation,
typename _UnaryOperation,
typename _Tp>
626 transform_inclusive_scan(_InputIterator __first, _InputIterator __last,
627 _OutputIterator __result,
628 _BinaryOperation __binary_op,
629 _UnaryOperation __unary_op,
632 for (; __first != __last; ++__first)
633 *__result++ = __init = __binary_op(__init, __unary_op(*__first));
656 template<
typename _InputIterator,
typename _OutputIterator,
657 typename _BinaryOperation,
typename _UnaryOperation>
659 transform_inclusive_scan(_InputIterator __first, _InputIterator __last,
660 _OutputIterator __result,
661 _BinaryOperation __binary_op,
662 _UnaryOperation __unary_op)
664 if (__first != __last)
666 auto __init = __unary_op(*__first);
667 *__result++ = __init;
669 if (__first != __last)
670 __result = std::transform_inclusive_scan(__first, __last, __result,
671 __binary_op, __unary_op,
679 _GLIBCXX_END_NAMESPACE_VERSION
683 # if _PSTL_EXECUTION_POLICIES_DEFINED
685 # include <pstl/glue_numeric_impl.h>
688 # include <pstl/glue_numeric_defs.h>
689 # define _PSTL_NUMERIC_FORWARD_DECLARED 1
693 # define __cpp_lib_parallel_algorithm 201603L