[1166] | 1 | // -*- C++ -*-
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| 2 | //===-- numeric_impl.h ----------------------------------------------------===//
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| 3 | //
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| 4 | // Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
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| 5 | // See https://llvm.org/LICENSE.txt for license information.
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| 6 | // SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
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| 7 | //
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| 8 | //===----------------------------------------------------------------------===//
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| 9 |
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| 10 | #ifndef _PSTL_NUMERIC_IMPL_H
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| 11 | #define _PSTL_NUMERIC_IMPL_H
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| 12 |
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| 13 | #include <iterator>
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| 14 | #include <type_traits>
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| 15 | #include <numeric>
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| 16 |
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| 17 | #include "parallel_backend.h"
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| 18 | #include "pstl_config.h"
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| 19 | #include "execution_impl.h"
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| 20 | #include "unseq_backend_simd.h"
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| 21 | #include "algorithm_fwd.h"
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| 22 |
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| 23 | namespace __pstl
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| 24 | {
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| 25 | namespace __internal
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| 26 | {
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| 27 |
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| 28 | //------------------------------------------------------------------------
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| 29 | // transform_reduce (version with two binary functions, according to draft N4659)
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| 30 | //------------------------------------------------------------------------
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| 31 |
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| 32 | template <class _ForwardIterator1, class _ForwardIterator2, class _Tp, class _BinaryOperation1, class _BinaryOperation2>
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| 33 | _Tp
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| 34 | __brick_transform_reduce(_ForwardIterator1 __first1, _ForwardIterator1 __last1, _ForwardIterator2 __first2, _Tp __init,
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| 35 | _BinaryOperation1 __binary_op1, _BinaryOperation2 __binary_op2,
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| 36 | /*is_vector=*/std::false_type) noexcept
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| 37 | {
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| 38 | return std::inner_product(__first1, __last1, __first2, __init, __binary_op1, __binary_op2);
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| 39 | }
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| 40 |
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| 41 | template <class _ForwardIterator1, class _ForwardIterator2, class _Tp, class _BinaryOperation1, class _BinaryOperation2>
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| 42 | _Tp
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| 43 | __brick_transform_reduce(_ForwardIterator1 __first1, _ForwardIterator1 __last1, _ForwardIterator2 __first2, _Tp __init,
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| 44 | _BinaryOperation1 __binary_op1, _BinaryOperation2 __binary_op2,
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| 45 | /*is_vector=*/std::true_type) noexcept
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| 46 | {
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| 47 | typedef typename std::iterator_traits<_ForwardIterator1>::difference_type _DifferenceType;
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| 48 | return __unseq_backend::__simd_transform_reduce(
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| 49 | __last1 - __first1, __init, __binary_op1,
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| 50 | [=, &__binary_op2](_DifferenceType __i) { return __binary_op2(__first1[__i], __first2[__i]); });
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| 51 | }
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| 52 |
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| 53 | template <class _ExecutionPolicy, class _ForwardIterator1, class _ForwardIterator2, class _Tp, class _BinaryOperation1,
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| 54 | class _BinaryOperation2, class _IsVector>
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| 55 | _Tp
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| 56 | __pattern_transform_reduce(_ExecutionPolicy&&, _ForwardIterator1 __first1, _ForwardIterator1 __last1,
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| 57 | _ForwardIterator2 __first2, _Tp __init, _BinaryOperation1 __binary_op1,
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| 58 | _BinaryOperation2 __binary_op2, _IsVector __is_vector,
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| 59 | /*is_parallel=*/std::false_type) noexcept
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| 60 | {
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| 61 | return __brick_transform_reduce(__first1, __last1, __first2, __init, __binary_op1, __binary_op2, __is_vector);
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| 62 | }
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| 63 |
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| 64 | template <class _ExecutionPolicy, class _RandomAccessIterator1, class _RandomAccessIterator2, class _Tp,
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| 65 | class _BinaryOperation1, class _BinaryOperation2, class _IsVector>
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| 66 | _Tp
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| 67 | __pattern_transform_reduce(_ExecutionPolicy&& __exec, _RandomAccessIterator1 __first1, _RandomAccessIterator1 __last1,
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| 68 | _RandomAccessIterator2 __first2, _Tp __init, _BinaryOperation1 __binary_op1,
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| 69 | _BinaryOperation2 __binary_op2, _IsVector __is_vector, /*is_parallel=*/std::true_type)
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| 70 | {
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| 71 | return __internal::__except_handler([&]() {
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| 72 | return __par_backend::__parallel_transform_reduce(
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| 73 | std::forward<_ExecutionPolicy>(__exec), __first1, __last1,
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| 74 | [__first1, __first2, __binary_op2](_RandomAccessIterator1 __i) mutable {
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| 75 | return __binary_op2(*__i, *(__first2 + (__i - __first1)));
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| 76 | },
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| 77 | __init,
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| 78 | __binary_op1, // Combine
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| 79 | [__first1, __first2, __binary_op1, __binary_op2,
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| 80 | __is_vector](_RandomAccessIterator1 __i, _RandomAccessIterator1 __j, _Tp __init) -> _Tp {
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| 81 | return __internal::__brick_transform_reduce(__i, __j, __first2 + (__i - __first1), __init, __binary_op1,
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| 82 | __binary_op2, __is_vector);
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| 83 | });
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| 84 | });
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| 85 | }
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| 86 |
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| 87 | //------------------------------------------------------------------------
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| 88 | // transform_reduce (version with unary and binary functions)
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| 89 | //------------------------------------------------------------------------
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| 90 |
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| 91 | template <class _ForwardIterator, class _Tp, class _BinaryOperation, class _UnaryOperation>
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| 92 | _Tp
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| 93 | __brick_transform_reduce(_ForwardIterator __first, _ForwardIterator __last, _Tp __init, _BinaryOperation __binary_op,
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| 94 | _UnaryOperation __unary_op, /*is_vector=*/std::false_type) noexcept
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| 95 | {
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| 96 | return std::transform_reduce(__first, __last, __init, __binary_op, __unary_op);
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| 97 | }
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| 98 |
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| 99 | template <class _ForwardIterator, class _Tp, class _UnaryOperation, class _BinaryOperation>
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| 100 | _Tp
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| 101 | __brick_transform_reduce(_ForwardIterator __first, _ForwardIterator __last, _Tp __init, _BinaryOperation __binary_op,
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| 102 | _UnaryOperation __unary_op, /*is_vector=*/std::true_type) noexcept
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| 103 | {
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| 104 | typedef typename std::iterator_traits<_ForwardIterator>::difference_type _DifferenceType;
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| 105 | return __unseq_backend::__simd_transform_reduce(
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| 106 | __last - __first, __init, __binary_op,
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| 107 | [=, &__unary_op](_DifferenceType __i) { return __unary_op(__first[__i]); });
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| 108 | }
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| 109 |
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| 110 | template <class _ExecutionPolicy, class _ForwardIterator, class _Tp, class _BinaryOperation, class _UnaryOperation,
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| 111 | class _IsVector>
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| 112 | _Tp
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| 113 | __pattern_transform_reduce(_ExecutionPolicy&&, _ForwardIterator __first, _ForwardIterator __last, _Tp __init,
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| 114 | _BinaryOperation __binary_op, _UnaryOperation __unary_op, _IsVector __is_vector,
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| 115 | /*is_parallel=*/std::false_type) noexcept
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| 116 | {
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| 117 | return __internal::__brick_transform_reduce(__first, __last, __init, __binary_op, __unary_op, __is_vector);
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| 118 | }
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| 119 |
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| 120 | template <class _ExecutionPolicy, class _ForwardIterator, class _Tp, class _BinaryOperation, class _UnaryOperation,
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| 121 | class _IsVector>
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| 122 | _Tp
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| 123 | __pattern_transform_reduce(_ExecutionPolicy&& __exec, _ForwardIterator __first, _ForwardIterator __last, _Tp __init,
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| 124 | _BinaryOperation __binary_op, _UnaryOperation __unary_op, _IsVector __is_vector,
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| 125 | /*is_parallel=*/std::true_type)
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| 126 | {
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| 127 | return __internal::__except_handler([&]() {
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| 128 | return __par_backend::__parallel_transform_reduce(
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| 129 | std::forward<_ExecutionPolicy>(__exec), __first, __last,
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| 130 | [__unary_op](_ForwardIterator __i) mutable { return __unary_op(*__i); }, __init, __binary_op,
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| 131 | [__unary_op, __binary_op, __is_vector](_ForwardIterator __i, _ForwardIterator __j, _Tp __init) {
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| 132 | return __internal::__brick_transform_reduce(__i, __j, __init, __binary_op, __unary_op, __is_vector);
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| 133 | });
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| 134 | });
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| 135 | }
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| 136 |
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| 137 | //------------------------------------------------------------------------
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| 138 | // transform_exclusive_scan
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| 139 | //
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| 140 | // walk3 evaluates f(x,y,z) for (x,y,z) drawn from [first1,last1), [first2,...), [first3,...)
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| 141 | //------------------------------------------------------------------------
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| 142 |
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| 143 | // Exclusive form
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| 144 | template <class _ForwardIterator, class _OutputIterator, class _UnaryOperation, class _Tp, class _BinaryOperation>
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| 145 | std::pair<_OutputIterator, _Tp>
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| 146 | __brick_transform_scan(_ForwardIterator __first, _ForwardIterator __last, _OutputIterator __result,
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| 147 | _UnaryOperation __unary_op, _Tp __init, _BinaryOperation __binary_op,
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| 148 | /*Inclusive*/ std::false_type, /*is_vector=*/std::false_type) noexcept
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| 149 | {
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| 150 | for (; __first != __last; ++__first, ++__result)
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| 151 | {
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| 152 | *__result = __init;
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| 153 | _PSTL_PRAGMA_FORCEINLINE
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| 154 | __init = __binary_op(__init, __unary_op(*__first));
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| 155 | }
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| 156 | return std::make_pair(__result, __init);
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| 157 | }
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| 158 |
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| 159 | // Inclusive form
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| 160 | template <class _ForwardIterator, class _OutputIterator, class _UnaryOperation, class _Tp, class _BinaryOperation>
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| 161 | std::pair<_OutputIterator, _Tp>
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| 162 | __brick_transform_scan(_ForwardIterator __first, _ForwardIterator __last, _OutputIterator __result,
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| 163 | _UnaryOperation __unary_op, _Tp __init, _BinaryOperation __binary_op,
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| 164 | /*Inclusive*/ std::true_type, /*is_vector=*/std::false_type) noexcept
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| 165 | {
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| 166 | for (; __first != __last; ++__first, ++__result)
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| 167 | {
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| 168 | _PSTL_PRAGMA_FORCEINLINE
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| 169 | __init = __binary_op(__init, __unary_op(*__first));
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| 170 | *__result = __init;
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| 171 | }
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| 172 | return std::make_pair(__result, __init);
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| 173 | }
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| 174 |
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| 175 | // type is arithmetic and binary operation is a user defined operation.
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| 176 | template <typename _Tp, typename _BinaryOperation>
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| 177 | using is_arithmetic_udop = std::integral_constant<bool, std::is_arithmetic<_Tp>::value &&
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| 178 | !std::is_same<_BinaryOperation, std::plus<_Tp>>::value>;
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| 179 |
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| 180 | // [restriction] - T shall be DefaultConstructible.
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| 181 | // [violation] - default ctor of T shall set the identity value for binary_op.
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| 182 | template <class _ForwardIterator, class _OutputIterator, class _UnaryOperation, class _Tp, class _BinaryOperation,
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| 183 | class _Inclusive>
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| 184 | typename std::enable_if<!is_arithmetic_udop<_Tp, _BinaryOperation>::value, std::pair<_OutputIterator, _Tp>>::type
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| 185 | __brick_transform_scan(_ForwardIterator __first, _ForwardIterator __last, _OutputIterator __result,
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| 186 | _UnaryOperation __unary_op, _Tp __init, _BinaryOperation __binary_op, _Inclusive,
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| 187 | /*is_vector=*/std::true_type) noexcept
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| 188 | {
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| 189 | #if (_PSTL_UDS_PRESENT)
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| 190 | return __unseq_backend::__simd_scan(__first, __last - __first, __result, __unary_op, __init, __binary_op,
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| 191 | _Inclusive());
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| 192 | #else
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| 193 | // We need to call serial brick here to call function for inclusive and exclusive scan that depends on _Inclusive() value
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| 194 | return __internal::__brick_transform_scan(__first, __last, __result, __unary_op, __init, __binary_op, _Inclusive(),
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| 195 | /*is_vector=*/std::false_type());
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| 196 | #endif
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| 197 | }
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| 198 |
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| 199 | template <class _ForwardIterator, class _OutputIterator, class _UnaryOperation, class _Tp, class _BinaryOperation,
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| 200 | class _Inclusive>
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| 201 | typename std::enable_if<is_arithmetic_udop<_Tp, _BinaryOperation>::value, std::pair<_OutputIterator, _Tp>>::type
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| 202 | __brick_transform_scan(_ForwardIterator __first, _ForwardIterator __last, _OutputIterator __result,
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| 203 | _UnaryOperation __unary_op, _Tp __init, _BinaryOperation __binary_op, _Inclusive,
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| 204 | /*is_vector=*/std::true_type) noexcept
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| 205 | {
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| 206 | return __internal::__brick_transform_scan(__first, __last, __result, __unary_op, __init, __binary_op, _Inclusive(),
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| 207 | /*is_vector=*/std::false_type());
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| 208 | }
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| 209 |
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| 210 | template <class _ExecutionPolicy, class _ForwardIterator, class _OutputIterator, class _UnaryOperation, class _Tp,
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| 211 | class _BinaryOperation, class _Inclusive, class _IsVector>
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| 212 | _OutputIterator
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| 213 | __pattern_transform_scan(_ExecutionPolicy&&, _ForwardIterator __first, _ForwardIterator __last,
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| 214 | _OutputIterator __result, _UnaryOperation __unary_op, _Tp __init, _BinaryOperation __binary_op,
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| 215 | _Inclusive, _IsVector __is_vector, /*is_parallel=*/std::false_type) noexcept
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| 216 | {
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| 217 | return __internal::__brick_transform_scan(__first, __last, __result, __unary_op, __init, __binary_op, _Inclusive(),
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| 218 | __is_vector)
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| 219 | .first;
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| 220 | }
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| 221 |
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| 222 | template <class _ExecutionPolicy, class _RandomAccessIterator, class _OutputIterator, class _UnaryOperation, class _Tp,
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| 223 | class _BinaryOperation, class _Inclusive, class _IsVector>
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| 224 | typename std::enable_if<!std::is_floating_point<_Tp>::value, _OutputIterator>::type
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| 225 | __pattern_transform_scan(_ExecutionPolicy&& __exec, _RandomAccessIterator __first, _RandomAccessIterator __last,
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| 226 | _OutputIterator __result, _UnaryOperation __unary_op, _Tp __init, _BinaryOperation __binary_op,
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| 227 | _Inclusive, _IsVector __is_vector, /*is_parallel=*/std::true_type)
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| 228 | {
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| 229 | typedef typename std::iterator_traits<_RandomAccessIterator>::difference_type _DifferenceType;
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| 230 |
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| 231 | return __internal::__except_handler([&]() {
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| 232 | __par_backend::__parallel_transform_scan(
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| 233 | std::forward<_ExecutionPolicy>(__exec), __last - __first,
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| 234 | [__first, __unary_op](_DifferenceType __i) mutable { return __unary_op(__first[__i]); }, __init,
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| 235 | __binary_op,
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| 236 | [__first, __unary_op, __binary_op](_DifferenceType __i, _DifferenceType __j, _Tp __init) {
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| 237 | // Execute serial __brick_transform_reduce, due to the explicit SIMD vectorization (reduction) requires a commutative operation for the guarantee of correct scan.
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| 238 | return __internal::__brick_transform_reduce(__first + __i, __first + __j, __init, __binary_op,
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| 239 | __unary_op,
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| 240 | /*__is_vector*/ std::false_type());
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| 241 | },
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| 242 | [__first, __unary_op, __binary_op, __result, __is_vector](_DifferenceType __i, _DifferenceType __j,
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| 243 | _Tp __init) {
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| 244 | return __internal::__brick_transform_scan(__first + __i, __first + __j, __result + __i, __unary_op,
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| 245 | __init, __binary_op, _Inclusive(), __is_vector)
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| 246 | .second;
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| 247 | });
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| 248 | return __result + (__last - __first);
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| 249 | });
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| 250 | }
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| 251 |
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| 252 | template <class _ExecutionPolicy, class _RandomAccessIterator, class _OutputIterator, class _UnaryOperation, class _Tp,
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| 253 | class _BinaryOperation, class _Inclusive, class _IsVector>
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| 254 | typename std::enable_if<std::is_floating_point<_Tp>::value, _OutputIterator>::type
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| 255 | __pattern_transform_scan(_ExecutionPolicy&& __exec, _RandomAccessIterator __first, _RandomAccessIterator __last,
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| 256 | _OutputIterator __result, _UnaryOperation __unary_op, _Tp __init, _BinaryOperation __binary_op,
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| 257 | _Inclusive, _IsVector __is_vector, /*is_parallel=*/std::true_type)
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| 258 | {
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| 259 | typedef typename std::iterator_traits<_RandomAccessIterator>::difference_type _DifferenceType;
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| 260 | _DifferenceType __n = __last - __first;
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| 261 |
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| 262 | if (__n <= 0)
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| 263 | {
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| 264 | return __result;
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| 265 | }
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| 266 | return __internal::__except_handler([&]() {
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| 267 | __par_backend::__parallel_strict_scan(
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| 268 | std::forward<_ExecutionPolicy>(__exec), __n, __init,
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| 269 | [__first, __unary_op, __binary_op, __result, __is_vector](_DifferenceType __i, _DifferenceType __len) {
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| 270 | return __internal::__brick_transform_scan(__first + __i, __first + (__i + __len), __result + __i,
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| 271 | __unary_op, _Tp{}, __binary_op, _Inclusive(), __is_vector)
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| 272 | .second;
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| 273 | },
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| 274 | __binary_op,
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| 275 | [__result, &__binary_op](_DifferenceType __i, _DifferenceType __len, _Tp __initial) {
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| 276 | return *(std::transform(__result + __i, __result + __i + __len, __result + __i,
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| 277 | [&__initial, &__binary_op](const _Tp& __x) {
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| 278 | _PSTL_PRAGMA_FORCEINLINE
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| 279 | return __binary_op(__initial, __x);
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| 280 | }) -
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| 281 | 1);
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| 282 | },
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| 283 | [](_Tp) {});
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| 284 | return __result + (__last - __first);
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| 285 | });
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| 286 | }
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| 287 |
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| 288 | //------------------------------------------------------------------------
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| 289 | // adjacent_difference
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| 290 | //------------------------------------------------------------------------
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| 291 |
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| 292 | template <class _ForwardIterator, class _OutputIterator, class _BinaryOperation>
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| 293 | _OutputIterator
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| 294 | __brick_adjacent_difference(_ForwardIterator __first, _ForwardIterator __last, _OutputIterator __d_first,
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| 295 | _BinaryOperation __op, /*is_vector*/ std::false_type) noexcept
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| 296 | {
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| 297 | return std::adjacent_difference(__first, __last, __d_first, __op);
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| 298 | }
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| 299 |
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| 300 | template <class _ForwardIterator1, class _ForwardIterator2, class BinaryOperation>
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| 301 | _ForwardIterator2
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| 302 | __brick_adjacent_difference(_ForwardIterator1 __first, _ForwardIterator1 __last, _ForwardIterator2 __d_first,
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| 303 | BinaryOperation __op, /*is_vector=*/std::true_type) noexcept
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| 304 | {
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| 305 | _PSTL_ASSERT(__first != __last);
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| 306 |
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| 307 | typedef typename std::iterator_traits<_ForwardIterator1>::reference _ReferenceType1;
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| 308 | typedef typename std::iterator_traits<_ForwardIterator2>::reference _ReferenceType2;
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| 309 |
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| 310 | auto __n = __last - __first;
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| 311 | *__d_first = *__first;
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| 312 | return __unseq_backend::__simd_walk_3(
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| 313 | __first + 1, __n - 1, __first, __d_first + 1,
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| 314 | [&__op](_ReferenceType1 __x, _ReferenceType1 __y, _ReferenceType2 __z) { __z = __op(__x, __y); });
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| 315 | }
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| 316 |
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| 317 | template <class _ExecutionPolicy, class _ForwardIterator, class _OutputIterator, class _BinaryOperation,
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| 318 | class _IsVector>
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| 319 | _OutputIterator
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| 320 | __pattern_adjacent_difference(_ExecutionPolicy&&, _ForwardIterator __first, _ForwardIterator __last,
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| 321 | _OutputIterator __d_first, _BinaryOperation __op, _IsVector __is_vector,
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| 322 | /*is_parallel*/ std::false_type) noexcept
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| 323 | {
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| 324 | return __internal::__brick_adjacent_difference(__first, __last, __d_first, __op, __is_vector);
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| 325 | }
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| 326 |
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| 327 | template <class _ExecutionPolicy, class _ForwardIterator1, class _ForwardIterator2, class _BinaryOperation,
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| 328 | class _IsVector>
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| 329 | _ForwardIterator2
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| 330 | __pattern_adjacent_difference(_ExecutionPolicy&& __exec, _ForwardIterator1 __first, _ForwardIterator1 __last,
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| 331 | _ForwardIterator2 __d_first, _BinaryOperation __op, _IsVector __is_vector,
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| 332 | /*is_parallel=*/std::true_type)
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| 333 | {
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| 334 | _PSTL_ASSERT(__first != __last);
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| 335 | typedef typename std::iterator_traits<_ForwardIterator1>::reference _ReferenceType1;
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| 336 | typedef typename std::iterator_traits<_ForwardIterator2>::reference _ReferenceType2;
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| 337 |
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| 338 | *__d_first = *__first;
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| 339 | __par_backend::__parallel_for(
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| 340 | std::forward<_ExecutionPolicy>(__exec), __first, __last - 1,
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| 341 | [&__op, __is_vector, __d_first, __first](_ForwardIterator1 __b, _ForwardIterator1 __e) {
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| 342 | _ForwardIterator2 __d_b = __d_first + (__b - __first);
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| 343 | __internal::__brick_walk3(
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| 344 | __b, __e, __b + 1, __d_b + 1,
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| 345 | [&__op](_ReferenceType1 __x, _ReferenceType1 __y, _ReferenceType2 __z) { __z = __op(__y, __x); },
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| 346 | __is_vector);
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| 347 | });
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| 348 | return __d_first + (__last - __first);
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| 349 | }
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| 350 |
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| 351 | } // namespace __internal
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| 352 | } // namespace __pstl
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| 353 |
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| 354 | #endif /* _PSTL_NUMERIC_IMPL_H */
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