[INFRA] Import NVIDIA/CCCL upstream as optimization reference library
CCCL (CUDA C++ Core Libraries) provides: - CUB: device/block/warp-level GPU primitives (reduce, scan, sort, topk) - Thrust: high-level parallel algorithms (transform_reduce, sort, scan) - libcudacxx: CUDA C++ standard library (atomics, barriers, memory) - cudax: experimental features (memory resources, allocators) - Tuning policies: per-SM hardware-specific algorithm parameters Competition optimization vectors mapped to CCCL: - Output TPS (83% weight): warp_reduce, block_reduce, device_topk - Input TPS (14% weight): device_scan, block_load, prefetch - Cache TPS (3% weight): prefix caching strategy patterns - Memory (0.9 util): pooled/cached/buddy allocators Source: https://github.com/NVIDIA/cccl (shallow clone, HEAD only) License: Apache-2.0
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cccl_upstream/libcudacxx/include/cuda/__cmath/isqrt.h
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cccl_upstream/libcudacxx/include/cuda/__cmath/isqrt.h
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//===----------------------------------------------------------------------===//
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//
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// Part of libcu++, the C++ Standard Library for your entire system,
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// under the Apache License v2.0 with LLVM Exceptions.
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// See https://llvm.org/LICENSE.txt for license information.
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// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
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// SPDX-FileCopyrightText: Copyright (c) 2025 NVIDIA CORPORATION & AFFILIATES.
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//
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//===----------------------------------------------------------------------===//
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#ifndef _CUDA___CMATH_ISQRT_H
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#define _CUDA___CMATH_ISQRT_H
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#include <cuda/std/detail/__config>
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#if defined(_CCCL_IMPLICIT_SYSTEM_HEADER_GCC)
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# pragma GCC system_header
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#elif defined(_CCCL_IMPLICIT_SYSTEM_HEADER_CLANG)
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# pragma clang system_header
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#elif defined(_CCCL_IMPLICIT_SYSTEM_HEADER_MSVC)
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# pragma system_header
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#endif // no system header
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#include <cuda/std/__bit/integral.h>
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#include <cuda/std/__concepts/concept_macros.h>
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#include <cuda/std/__type_traits/is_integer.h>
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#include <cuda/std/__type_traits/is_signed.h>
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#include <cuda/std/__type_traits/make_unsigned.h>
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#include <cuda/std/__cccl/prologue.h>
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_CCCL_BEGIN_NAMESPACE_CUDA
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//! @brief Returns the square root of the given non-negative integer rounded down
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//! @param __v The input number
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//! @pre \p __v must be an integer type
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//! @pre \p __v must be non-negative
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//! @return The square root of \p __v rounded down
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//! @warning If \p __v is negative, the behavior is undefined
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_CCCL_TEMPLATE(class _Tp)
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_CCCL_REQUIRES(::cuda::std::__cccl_is_integer_v<_Tp>)
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[[nodiscard]] _CCCL_API constexpr _Tp isqrt(_Tp __v) noexcept
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{
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if constexpr (::cuda::std::is_signed_v<_Tp>)
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{
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_CCCL_ASSERT(__v >= _Tp{0}, "cuda::isqrt requires non-negative input");
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}
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if (__v <= 1)
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{
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return __v;
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}
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using _Up = ::cuda::std::make_unsigned_t<_Tp>;
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_Up __uv = static_cast<_Up>(__v);
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_Up __ret{};
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_Up __bit = static_cast<_Up>(_Up{1} << ((::cuda::std::bit_width(__uv) - 1) & (~1)));
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while (__bit != 0)
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{
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if (__uv >= __ret + __bit)
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{
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__uv -= __ret + __bit;
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__ret = (__ret >> 1) + __bit;
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}
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else
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{
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__ret >>= 1;
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}
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__bit >>= 2;
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}
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return static_cast<_Tp>(__ret);
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}
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_CCCL_END_NAMESPACE_CUDA
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#include <cuda/std/__cccl/epilogue.h>
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#endif // _CUDA___CMATH_ISQRT_H
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