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Edit: numeric_impl.h
// -*- C++ -*- //===-- numeric_impl.h ----------------------------------------------------===// // // 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 _PSTL_NUMERIC_IMPL_H #define _PSTL_NUMERIC_IMPL_H #include <iterator> #include <type_traits> #include <numeric> #include "parallel_backend.h" #include "pstl_config.h" #include "execution_impl.h" #include "unseq_backend_simd.h" #include "algorithm_fwd.h" namespace __pstl { namespace __internal { //------------------------------------------------------------------------ // transform_reduce (version with two binary functions, according to draft N4659) //------------------------------------------------------------------------ template <class _ForwardIterator1, class _ForwardIterator2, class _Tp, class _BinaryOperation1, class _BinaryOperation2> _Tp __brick_transform_reduce(_ForwardIterator1 __first1, _ForwardIterator1 __last1, _ForwardIterator2 __first2, _Tp __init, _BinaryOperation1 __binary_op1, _BinaryOperation2 __binary_op2, /*is_vector=*/std::false_type) noexcept { return std::inner_product(__first1, __last1, __first2, __init, __binary_op1, __binary_op2); } template <class _ForwardIterator1, class _ForwardIterator2, class _Tp, class _BinaryOperation1, class _BinaryOperation2> _Tp __brick_transform_reduce(_ForwardIterator1 __first1, _ForwardIterator1 __last1, _ForwardIterator2 __first2, _Tp __init, _BinaryOperation1 __binary_op1, _BinaryOperation2 __binary_op2, /*is_vector=*/std::true_type) noexcept { typedef typename std::iterator_traits<_ForwardIterator1>::difference_type _DifferenceType; return __unseq_backend::__simd_transform_reduce( __last1 - __first1, __init, __binary_op1, [=, &__binary_op2](_DifferenceType __i) { return __binary_op2(__first1[__i], __first2[__i]); }); } template <class _ExecutionPolicy, class _ForwardIterator1, class _ForwardIterator2, class _Tp, class _BinaryOperation1, class _BinaryOperation2, class _IsVector> _Tp __pattern_transform_reduce(_ExecutionPolicy&&, _ForwardIterator1 __first1, _ForwardIterator1 __last1, _ForwardIterator2 __first2, _Tp __init, _BinaryOperation1 __binary_op1, _BinaryOperation2 __binary_op2, _IsVector __is_vector, /*is_parallel=*/std::false_type) noexcept { return __brick_transform_reduce(__first1, __last1, __first2, __init, __binary_op1, __binary_op2, __is_vector); } template <class _ExecutionPolicy, class _RandomAccessIterator1, class _RandomAccessIterator2, class _Tp, class _BinaryOperation1, class _BinaryOperation2, class _IsVector> _Tp __pattern_transform_reduce(_ExecutionPolicy&& __exec, _RandomAccessIterator1 __first1, _RandomAccessIterator1 __last1, _RandomAccessIterator2 __first2, _Tp __init, _BinaryOperation1 __binary_op1, _BinaryOperation2 __binary_op2, _IsVector __is_vector, /*is_parallel=*/std::true_type) { return __internal::__except_handler([&]() { return __par_backend::__parallel_transform_reduce( std::forward<_ExecutionPolicy>(__exec), __first1, __last1, [__first1, __first2, __binary_op2](_RandomAccessIterator1 __i) mutable { return __binary_op2(*__i, *(__first2 + (__i - __first1))); }, __init, __binary_op1, // Combine [__first1, __first2, __binary_op1, __binary_op2, __is_vector](_RandomAccessIterator1 __i, _RandomAccessIterator1 __j, _Tp __init) -> _Tp { return __internal::__brick_transform_reduce(__i, __j, __first2 + (__i - __first1), __init, __binary_op1, __binary_op2, __is_vector); }); }); } //------------------------------------------------------------------------ // transform_reduce (version with unary and binary functions) //------------------------------------------------------------------------ template <class _ForwardIterator, class _Tp, class _BinaryOperation, class _UnaryOperation> _Tp __brick_transform_reduce(_ForwardIterator __first, _ForwardIterator __last, _Tp __init, _BinaryOperation __binary_op, _UnaryOperation __unary_op, /*is_vector=*/std::false_type) noexcept { return std::transform_reduce(__first, __last, __init, __binary_op, __unary_op); } template <class _ForwardIterator, class _Tp, class _UnaryOperation, class _BinaryOperation> _Tp __brick_transform_reduce(_ForwardIterator __first, _ForwardIterator __last, _Tp __init, _BinaryOperation __binary_op, _UnaryOperation __unary_op, /*is_vector=*/std::true_type) noexcept { typedef typename std::iterator_traits<_ForwardIterator>::difference_type _DifferenceType; return __unseq_backend::__simd_transform_reduce( __last - __first, __init, __binary_op, [=, &__unary_op](_DifferenceType __i) { return __unary_op(__first[__i]); }); } template <class _ExecutionPolicy, class _ForwardIterator, class _Tp, class _BinaryOperation, class _UnaryOperation, class _IsVector> _Tp __pattern_transform_reduce(_ExecutionPolicy&&, _ForwardIterator __first, _ForwardIterator __last, _Tp __init, _BinaryOperation __binary_op, _UnaryOperation __unary_op, _IsVector __is_vector, /*is_parallel=*/std::false_type) noexcept { return __internal::__brick_transform_reduce(__first, __last, __init, __binary_op, __unary_op, __is_vector); } template <class _ExecutionPolicy, class _ForwardIterator, class _Tp, class _BinaryOperation, class _UnaryOperation, class _IsVector> _Tp __pattern_transform_reduce(_ExecutionPolicy&& __exec, _ForwardIterator __first, _ForwardIterator __last, _Tp __init, _BinaryOperation __binary_op, _UnaryOperation __unary_op, _IsVector __is_vector, /*is_parallel=*/std::true_type) { return __internal::__except_handler([&]() { return __par_backend::__parallel_transform_reduce( std::forward<_ExecutionPolicy>(__exec), __first, __last, [__unary_op](_ForwardIterator __i) mutable { return __unary_op(*__i); }, __init, __binary_op, [__unary_op, __binary_op, __is_vector](_ForwardIterator __i, _ForwardIterator __j, _Tp __init) { return __internal::__brick_transform_reduce(__i, __j, __init, __binary_op, __unary_op, __is_vector); }); }); } //------------------------------------------------------------------------ // transform_exclusive_scan // // walk3 evaluates f(x,y,z) for (x,y,z) drawn from [first1,last1), [first2,...), [first3,...) //------------------------------------------------------------------------ // Exclusive form template <class _ForwardIterator, class _OutputIterator, class _UnaryOperation, class _Tp, class _BinaryOperation> std::pair<_OutputIterator, _Tp> __brick_transform_scan(_ForwardIterator __first, _ForwardIterator __last, _OutputIterator __result, _UnaryOperation __unary_op, _Tp __init, _BinaryOperation __binary_op, /*Inclusive*/ std::false_type, /*is_vector=*/std::false_type) noexcept { for (; __first != __last; ++__first, ++__result) { *__result = __init; _PSTL_PRAGMA_FORCEINLINE __init = __binary_op(__init, __unary_op(*__first)); } return std::make_pair(__result, __init); } // Inclusive form template <class _ForwardIterator, class _OutputIterator, class _UnaryOperation, class _Tp, class _BinaryOperation> std::pair<_OutputIterator, _Tp> __brick_transform_scan(_ForwardIterator __first, _ForwardIterator __last, _OutputIterator __result, _UnaryOperation __unary_op, _Tp __init, _BinaryOperation __binary_op, /*Inclusive*/ std::true_type, /*is_vector=*/std::false_type) noexcept { for (; __first != __last; ++__first, ++__result) { _PSTL_PRAGMA_FORCEINLINE __init = __binary_op(__init, __unary_op(*__first)); *__result = __init; } return std::make_pair(__result, __init); } // type is arithmetic and binary operation is a user defined operation. template <typename _Tp, typename _BinaryOperation> using is_arithmetic_udop = std::integral_constant<bool, std::is_arithmetic<_Tp>::value && !std::is_same<_BinaryOperation, std::plus<_Tp>>::value>; // [restriction] - T shall be DefaultConstructible. // [violation] - default ctor of T shall set the identity value for binary_op. template <class _ForwardIterator, class _OutputIterator, class _UnaryOperation, class _Tp, class _BinaryOperation, class _Inclusive> typename std::enable_if<!is_arithmetic_udop<_Tp, _BinaryOperation>::value, std::pair<_OutputIterator, _Tp>>::type __brick_transform_scan(_ForwardIterator __first, _ForwardIterator __last, _OutputIterator __result, _UnaryOperation __unary_op, _Tp __init, _BinaryOperation __binary_op, _Inclusive, /*is_vector=*/std::true_type) noexcept { #if (_PSTL_UDS_PRESENT) return __unseq_backend::__simd_scan(__first, __last - __first, __result, __unary_op, __init, __binary_op, _Inclusive()); #else // We need to call serial brick here to call function for inclusive and exclusive scan that depends on _Inclusive() value return __internal::__brick_transform_scan(__first, __last, __result, __unary_op, __init, __binary_op, _Inclusive(), /*is_vector=*/std::false_type()); #endif } template <class _ForwardIterator, class _OutputIterator, class _UnaryOperation, class _Tp, class _BinaryOperation, class _Inclusive> typename std::enable_if<is_arithmetic_udop<_Tp, _BinaryOperation>::value, std::pair<_OutputIterator, _Tp>>::type __brick_transform_scan(_ForwardIterator __first, _ForwardIterator __last, _OutputIterator __result, _UnaryOperation __unary_op, _Tp __init, _BinaryOperation __binary_op, _Inclusive, /*is_vector=*/std::true_type) noexcept { return __internal::__brick_transform_scan(__first, __last, __result, __unary_op, __init, __binary_op, _Inclusive(), /*is_vector=*/std::false_type()); } template <class _ExecutionPolicy, class _ForwardIterator, class _OutputIterator, class _UnaryOperation, class _Tp, class _BinaryOperation, class _Inclusive, class _IsVector> _OutputIterator __pattern_transform_scan(_ExecutionPolicy&&, _ForwardIterator __first, _ForwardIterator __last, _OutputIterator __result, _UnaryOperation __unary_op, _Tp __init, _BinaryOperation __binary_op, _Inclusive, _IsVector __is_vector, /*is_parallel=*/std::false_type) noexcept { return __internal::__brick_transform_scan(__first, __last, __result, __unary_op, __init, __binary_op, _Inclusive(), __is_vector) .first; } template <class _ExecutionPolicy, class _RandomAccessIterator, class _OutputIterator, class _UnaryOperation, class _Tp, class _BinaryOperation, class _Inclusive, class _IsVector> typename std::enable_if<!std::is_floating_point<_Tp>::value, _OutputIterator>::type __pattern_transform_scan(_ExecutionPolicy&& __exec, _RandomAccessIterator __first, _RandomAccessIterator __last, _OutputIterator __result, _UnaryOperation __unary_op, _Tp __init, _BinaryOperation __binary_op, _Inclusive, _IsVector __is_vector, /*is_parallel=*/std::true_type) { typedef typename std::iterator_traits<_RandomAccessIterator>::difference_type _DifferenceType; return __internal::__except_handler([&]() { __par_backend::__parallel_transform_scan( std::forward<_ExecutionPolicy>(__exec), __last - __first, [__first, __unary_op](_DifferenceType __i) mutable { return __unary_op(__first[__i]); }, __init, __binary_op, [__first, __unary_op, __binary_op](_DifferenceType __i, _DifferenceType __j, _Tp __init) { // Execute serial __brick_transform_reduce, due to the explicit SIMD vectorization (reduction) requires a commutative operation for the guarantee of correct scan. return __internal::__brick_transform_reduce(__first + __i, __first + __j, __init, __binary_op, __unary_op, /*__is_vector*/ std::false_type()); }, [__first, __unary_op, __binary_op, __result, __is_vector](_DifferenceType __i, _DifferenceType __j, _Tp __init) { return __internal::__brick_transform_scan(__first + __i, __first + __j, __result + __i, __unary_op, __init, __binary_op, _Inclusive(), __is_vector) .second; }); return __result + (__last - __first); }); } template <class _ExecutionPolicy, class _RandomAccessIterator, class _OutputIterator, class _UnaryOperation, class _Tp, class _BinaryOperation, class _Inclusive, class _IsVector> typename std::enable_if<std::is_floating_point<_Tp>::value, _OutputIterator>::type __pattern_transform_scan(_ExecutionPolicy&& __exec, _RandomAccessIterator __first, _RandomAccessIterator __last, _OutputIterator __result, _UnaryOperation __unary_op, _Tp __init, _BinaryOperation __binary_op, _Inclusive, _IsVector __is_vector, /*is_parallel=*/std::true_type) { typedef typename std::iterator_traits<_RandomAccessIterator>::difference_type _DifferenceType; _DifferenceType __n = __last - __first; if (__n <= 0) { return __result; } return __internal::__except_handler([&]() { __par_backend::__parallel_strict_scan( std::forward<_ExecutionPolicy>(__exec), __n, __init, [__first, __unary_op, __binary_op, __result, __is_vector](_DifferenceType __i, _DifferenceType __len) { return __internal::__brick_transform_scan(__first + __i, __first + (__i + __len), __result + __i, __unary_op, _Tp{}, __binary_op, _Inclusive(), __is_vector) .second; }, __binary_op, [__result, &__binary_op](_DifferenceType __i, _DifferenceType __len, _Tp __initial) { return *(std::transform(__result + __i, __result + __i + __len, __result + __i, [&__initial, &__binary_op](const _Tp& __x) { _PSTL_PRAGMA_FORCEINLINE return __binary_op(__initial, __x); }) - 1); }, [](_Tp) {}); return __result + (__last - __first); }); } //------------------------------------------------------------------------ // adjacent_difference //------------------------------------------------------------------------ template <class _ForwardIterator, class _OutputIterator, class _BinaryOperation> _OutputIterator __brick_adjacent_difference(_ForwardIterator __first, _ForwardIterator __last, _OutputIterator __d_first, _BinaryOperation __op, /*is_vector*/ std::false_type) noexcept { return std::adjacent_difference(__first, __last, __d_first, __op); } template <class _ForwardIterator1, class _ForwardIterator2, class BinaryOperation> _ForwardIterator2 __brick_adjacent_difference(_ForwardIterator1 __first, _ForwardIterator1 __last, _ForwardIterator2 __d_first, BinaryOperation __op, /*is_vector=*/std::true_type) noexcept { _PSTL_ASSERT(__first != __last); typedef typename std::iterator_traits<_ForwardIterator1>::reference _ReferenceType1; typedef typename std::iterator_traits<_ForwardIterator2>::reference _ReferenceType2; auto __n = __last - __first; *__d_first = *__first; return __unseq_backend::__simd_walk_3( __first + 1, __n - 1, __first, __d_first + 1, [&__op](_ReferenceType1 __x, _ReferenceType1 __y, _ReferenceType2 __z) { __z = __op(__x, __y); }); } template <class _ExecutionPolicy, class _ForwardIterator, class _OutputIterator, class _BinaryOperation, class _IsVector> _OutputIterator __pattern_adjacent_difference(_ExecutionPolicy&&, _ForwardIterator __first, _ForwardIterator __last, _OutputIterator __d_first, _BinaryOperation __op, _IsVector __is_vector, /*is_parallel*/ std::false_type) noexcept { return __internal::__brick_adjacent_difference(__first, __last, __d_first, __op, __is_vector); } template <class _ExecutionPolicy, class _ForwardIterator1, class _ForwardIterator2, class _BinaryOperation, class _IsVector> _ForwardIterator2 __pattern_adjacent_difference(_ExecutionPolicy&& __exec, _ForwardIterator1 __first, _ForwardIterator1 __last, _ForwardIterator2 __d_first, _BinaryOperation __op, _IsVector __is_vector, /*is_parallel=*/std::true_type) { _PSTL_ASSERT(__first != __last); typedef typename std::iterator_traits<_ForwardIterator1>::reference _ReferenceType1; typedef typename std::iterator_traits<_ForwardIterator2>::reference _ReferenceType2; *__d_first = *__first; __par_backend::__parallel_for( std::forward<_ExecutionPolicy>(__exec), __first, __last - 1, [&__op, __is_vector, __d_first, __first](_ForwardIterator1 __b, _ForwardIterator1 __e) { _ForwardIterator2 __d_b = __d_first + (__b - __first); __internal::__brick_walk3( __b, __e, __b + 1, __d_b + 1, [&__op](_ReferenceType1 __x, _ReferenceType1 __y, _ReferenceType2 __z) { __z = __op(__y, __x); }, __is_vector); }); return __d_first + (__last - __first); } } // namespace __internal } // namespace __pstl #endif /* _PSTL_NUMERIC_IMPL_H */