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/* | ||
* Copyright (c) Facebook, Inc. and its affiliates. | ||
* | ||
* Licensed under the Apache License, Version 2.0 (the "License"); | ||
* you may not use this file except in compliance with the License. | ||
* You may obtain a copy of the License at | ||
* | ||
* http://www.apache.org/licenses/LICENSE-2.0 | ||
* | ||
* Unless required by applicable law or agreed to in writing, software | ||
* distributed under the License is distributed on an "AS IS" BASIS, | ||
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. | ||
* See the License for the specific language governing permissions and | ||
* limitations under the License. | ||
*/ | ||
#pragma once | ||
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#include "velox/common/base/Exceptions.h" | ||
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namespace facebook::velox { | ||
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constexpr int kSortingNetworkMaxSize = 32; | ||
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template <typename T, typename LessThan> | ||
void sortingNetwork(T* data, int size, LessThan&& lt); | ||
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namespace detail { | ||
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// Compile time generated Bose-Nelson sorting network. | ||
// | ||
// https://bertdobbelaere.github.io/sorting_networks.html | ||
// https://github.com/Vectorized/Static-Sort/blob/master/include/static_sort.h | ||
template <int kSize> | ||
class SortingNetworkImpl { | ||
public: | ||
template <typename T, typename LessThan> | ||
static void apply(T* data, LessThan&& lt) { | ||
PS<T, LessThan, 1, kSize, (kSize <= 1)> ps(data, lt); | ||
} | ||
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private: | ||
template <int I, int J, typename T, typename LessThan> | ||
static void compareExchange(T* data, LessThan lt) { | ||
// This is branchless if `lt' is branchless. | ||
auto c = lt(data[I], data[J]); | ||
auto min = c ? data[I] : data[J]; | ||
data[J] = c ? data[J] : data[I]; | ||
data[I] = min; | ||
} | ||
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template <typename T, typename LessThan, int I, int J, int X, int Y> | ||
struct PB { | ||
PB(T* data, LessThan lt) { | ||
enum { | ||
L = X >> 1, | ||
M = (X & 1 ? Y : Y + 1) >> 1, | ||
IAddL = I + L, | ||
XSubL = X - L, | ||
}; | ||
PB<T, LessThan, I, J, L, M> p0(data, lt); | ||
PB<T, LessThan, IAddL, J + M, XSubL, Y - M> p1(data, lt); | ||
PB<T, LessThan, IAddL, J, XSubL, M> p2(data, lt); | ||
} | ||
}; | ||
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template <typename T, typename LessThan, int I, int J> | ||
struct PB<T, LessThan, I, J, 1, 1> { | ||
PB(T* data, LessThan lt) { | ||
compareExchange<I - 1, J - 1>(data, lt); | ||
} | ||
}; | ||
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template <typename T, typename LessThan, int I, int J> | ||
struct PB<T, LessThan, I, J, 1, 2> { | ||
PB(T* data, LessThan lt) { | ||
compareExchange<I - 1, J>(data, lt); | ||
compareExchange<I - 1, J - 1>(data, lt); | ||
} | ||
}; | ||
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template <typename T, typename LessThan, int I, int J> | ||
struct PB<T, LessThan, I, J, 2, 1> { | ||
PB(T* data, LessThan lt) { | ||
compareExchange<I - 1, J - 1>(data, lt); | ||
compareExchange<I, J - 1>(data, lt); | ||
} | ||
}; | ||
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template <typename T, typename LessThan, int I, int M, bool kStop> | ||
struct PS { | ||
PS(T* data, LessThan lt) { | ||
enum { L = M >> 1, IAddL = I + L, MSubL = M - L }; | ||
PS<T, LessThan, I, L, (L <= 1)> ps0(data, lt); | ||
PS<T, LessThan, IAddL, MSubL, (MSubL <= 1)> ps1(data, lt); | ||
PB<T, LessThan, I, IAddL, L, MSubL> pb(data, lt); | ||
} | ||
}; | ||
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template <typename T, typename LessThan, int I, int M> | ||
struct PS<T, LessThan, I, M, true> { | ||
PS(T* /*data*/, LessThan /*lt*/) {} | ||
}; | ||
}; | ||
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} // namespace detail | ||
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template <typename T, typename LessThan> | ||
void sortingNetwork(T* data, int size, LessThan&& lt) { | ||
switch (size) { | ||
case 0: | ||
case 1: | ||
return; | ||
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#ifdef VELOX_SORTING_NETWORK_IMPL_APPLY_CASE | ||
#error "Macro name clash: VELOX_SORTING_NETWORK_IMPL_APPLY_CASE" | ||
#endif | ||
#define VELOX_SORTING_NETWORK_IMPL_APPLY_CASE(_n) \ | ||
case _n: \ | ||
detail::SortingNetworkImpl<_n>::apply(data, std::forward<LessThan>(lt)); \ | ||
return; | ||
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VELOX_SORTING_NETWORK_IMPL_APPLY_CASE(2) | ||
VELOX_SORTING_NETWORK_IMPL_APPLY_CASE(3) | ||
VELOX_SORTING_NETWORK_IMPL_APPLY_CASE(4) | ||
VELOX_SORTING_NETWORK_IMPL_APPLY_CASE(5) | ||
VELOX_SORTING_NETWORK_IMPL_APPLY_CASE(6) | ||
VELOX_SORTING_NETWORK_IMPL_APPLY_CASE(7) | ||
VELOX_SORTING_NETWORK_IMPL_APPLY_CASE(8) | ||
VELOX_SORTING_NETWORK_IMPL_APPLY_CASE(9) | ||
VELOX_SORTING_NETWORK_IMPL_APPLY_CASE(10) | ||
VELOX_SORTING_NETWORK_IMPL_APPLY_CASE(11) | ||
VELOX_SORTING_NETWORK_IMPL_APPLY_CASE(12) | ||
VELOX_SORTING_NETWORK_IMPL_APPLY_CASE(13) | ||
VELOX_SORTING_NETWORK_IMPL_APPLY_CASE(14) | ||
VELOX_SORTING_NETWORK_IMPL_APPLY_CASE(15) | ||
VELOX_SORTING_NETWORK_IMPL_APPLY_CASE(16) | ||
VELOX_SORTING_NETWORK_IMPL_APPLY_CASE(17) | ||
VELOX_SORTING_NETWORK_IMPL_APPLY_CASE(18) | ||
VELOX_SORTING_NETWORK_IMPL_APPLY_CASE(19) | ||
VELOX_SORTING_NETWORK_IMPL_APPLY_CASE(20) | ||
VELOX_SORTING_NETWORK_IMPL_APPLY_CASE(21) | ||
VELOX_SORTING_NETWORK_IMPL_APPLY_CASE(22) | ||
VELOX_SORTING_NETWORK_IMPL_APPLY_CASE(23) | ||
VELOX_SORTING_NETWORK_IMPL_APPLY_CASE(24) | ||
VELOX_SORTING_NETWORK_IMPL_APPLY_CASE(25) | ||
VELOX_SORTING_NETWORK_IMPL_APPLY_CASE(26) | ||
VELOX_SORTING_NETWORK_IMPL_APPLY_CASE(27) | ||
VELOX_SORTING_NETWORK_IMPL_APPLY_CASE(28) | ||
VELOX_SORTING_NETWORK_IMPL_APPLY_CASE(29) | ||
VELOX_SORTING_NETWORK_IMPL_APPLY_CASE(30) | ||
VELOX_SORTING_NETWORK_IMPL_APPLY_CASE(31) | ||
VELOX_SORTING_NETWORK_IMPL_APPLY_CASE(32) | ||
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#undef VELOX_SORTING_NETWORK_IMPL_APPLY_CASE | ||
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default: | ||
VELOX_UNREACHABLE(); | ||
} | ||
} | ||
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} // namespace facebook::velox |
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