File: thread_search.cuh

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/******************************************************************************
 * Copyright (c) 2011, Duane Merrill.  All rights reserved.
 * Copyright (c) 2011-2018, NVIDIA CORPORATION.  All rights reserved.
 *
 * Redistribution and use in source and binary forms, with or without
 * modification, are permitted provided that the following conditions are met:
 *     * Redistributions of source code must retain the above copyright
 *       notice, this list of conditions and the following disclaimer.
 *     * Redistributions in binary form must reproduce the above copyright
 *       notice, this list of conditions and the following disclaimer in the
 *       documentation and/or other materials provided with the distribution.
 *     * Neither the name of the NVIDIA CORPORATION nor the
 *       names of its contributors may be used to endorse or promote products
 *       derived from this software without specific prior written permission.
 *
 * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
 * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
 * WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
 * DISCLAIMED. IN NO EVENT SHALL NVIDIA CORPORATION BE LIABLE FOR ANY
 * DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
 * (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
 * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND
 * ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
 * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
 * SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
 *
 ******************************************************************************/

/**
 * @file
 * Thread utilities for sequential search
 */

#pragma once

#include <cub/config.cuh>

#if defined(_CCCL_IMPLICIT_SYSTEM_HEADER_GCC)
#  pragma GCC system_header
#elif defined(_CCCL_IMPLICIT_SYSTEM_HEADER_CLANG)
#  pragma clang system_header
#elif defined(_CCCL_IMPLICIT_SYSTEM_HEADER_MSVC)
#  pragma system_header
#endif // no system header

#include <iterator>
#include <cub/util_namespace.cuh>
#include <cub/util_type.cuh>

#include <nv/target>

CUB_NAMESPACE_BEGIN


/**
 * Computes the begin offsets into A and B for the specific diagonal
 */
template <
    typename AIteratorT,
    typename BIteratorT,
    typename OffsetT,
    typename CoordinateT>
__host__ __device__ __forceinline__ void MergePathSearch(
    OffsetT         diagonal,
    AIteratorT      a,
    BIteratorT      b,
    OffsetT         a_len,
    OffsetT         b_len,
    CoordinateT&    path_coordinate)
{
    /// The value type of the input iterator
    using T = cub::detail::value_t<AIteratorT>;

    OffsetT split_min = CUB_MAX(diagonal - b_len, 0);
    OffsetT split_max = CUB_MIN(diagonal, a_len);

    while (split_min < split_max)
    {
        OffsetT split_pivot = (split_min + split_max) >> 1;
        if (a[split_pivot] <= b[diagonal - split_pivot - 1])
        {
            // Move candidate split range up A, down B
            split_min = split_pivot + 1;
        }
        else
        {
            // Move candidate split range up B, down A
            split_max = split_pivot;
        }
    }

    path_coordinate.x = CUB_MIN(split_min, a_len);
    path_coordinate.y = diagonal - split_min;
}

/**
 * @brief Returns the offset of the first value within @p input which does not compare
 *        less than @p val
 *
 * @param[in] input
 *   Input sequence
 *
 * @param[in] num_items
 *   Input sequence length
 *
 * @param[in] val
 *   Search key
 */
template <typename InputIteratorT, typename OffsetT, typename T>
__device__ __forceinline__ OffsetT LowerBound(InputIteratorT input, OffsetT num_items, T val)
{
    OffsetT retval = 0;
    while (num_items > 0)
    {
        OffsetT half = num_items >> 1;
        if (input[retval + half] < val)
        {
            retval = retval + (half + 1);
            num_items = num_items - (half + 1);
        }
        else
        {
            num_items = half;
        }
    }

    return retval;
}

/**
 * @brief Returns the offset of the first value within @p input which compares
 *        greater than @p val
 *
 * @param[in] input
 *   Input sequence
 *
 * @param[in] num_items
 *   Input sequence length
 *
 * @param[in] val
 *   Search key
 */
template <typename InputIteratorT, typename OffsetT, typename T>
__device__ __forceinline__ OffsetT UpperBound(InputIteratorT input, OffsetT num_items, T val)
{
    OffsetT retval = 0;
    while (num_items > 0)
    {
        OffsetT half = num_items >> 1;
        if (val < input[retval + half])
        {
            num_items = half;
        }
        else
        {
            retval = retval + (half + 1);
            num_items = num_items - (half + 1);
        }
    }

    return retval;
}


#if defined(__CUDA_FP16_TYPES_EXIST__)
/**
 * @param[in] input
 *   Input sequence
 *
 * @param[in] num_items
 *   Input sequence length
 *
 * @param[in] val
 *   Search key
 */
template <typename InputIteratorT, typename OffsetT>
__device__ __forceinline__ OffsetT UpperBound(InputIteratorT input, OffsetT num_items, __half val)
{
    OffsetT retval = 0;
    while (num_items > 0)
    {
        OffsetT half = num_items >> 1;

        bool lt;
        NV_IF_TARGET(NV_PROVIDES_SM_53,
                     (lt = val < input[retval + half];),
                     (lt = __half2float(val) < __half2float(input[retval + half]);));

        if (lt)
        {
            num_items = half;
        }
        else
        {
            retval = retval + (half + 1);
            num_items = num_items - (half + 1);
        }
    }

    return retval;
}
#endif

CUB_NAMESPACE_END