/****************************************************************************** * 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 * The cub::BlockScan class provides [collective](index.html#sec0) methods for computing a * parallel prefix sum/scan of items partitioned across a CUDA thread block. */ #pragma once #include #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 #include #include #include CUB_NAMESPACE_BEGIN /****************************************************************************** * Algorithmic variants ******************************************************************************/ /** * @brief BlockScanAlgorithm enumerates alternative algorithms for cub::BlockScan to compute a * parallel prefix scan across a CUDA thread block. */ enum BlockScanAlgorithm { /** * @par Overview * An efficient "raking reduce-then-scan" prefix scan algorithm. Execution is comprised of five phases: * -# Upsweep sequential reduction in registers (if threads contribute more than one input each). Each thread then places the partial reduction of its item(s) into shared memory. * -# Upsweep sequential reduction in shared memory. Threads within a single warp rake across segments of shared partial reductions. * -# A warp-synchronous Kogge-Stone style exclusive scan within the raking warp. * -# Downsweep sequential exclusive scan in shared memory. Threads within a single warp rake across segments of shared partial reductions, seeded with the warp-scan output. * -# Downsweep sequential scan in registers (if threads contribute more than one input), seeded with the raking scan output. * * @par * @image html block_scan_raking.png *
\p BLOCK_SCAN_RAKING data flow for a hypothetical 16-thread thread block and 4-thread raking warp.
* * @par Performance Considerations * - Although this variant may suffer longer turnaround latencies when the * GPU is under-occupied, it can often provide higher overall throughput * across the GPU when suitably occupied. */ BLOCK_SCAN_RAKING, /** * @par Overview * Similar to cub::BLOCK_SCAN_RAKING, but with fewer shared memory reads at * the expense of higher register pressure. Raking threads preserve their * "upsweep" segment of values in registers while performing warp-synchronous * scan, allowing the "downsweep" not to re-read them from shared memory. */ BLOCK_SCAN_RAKING_MEMOIZE, /** * @par Overview * A quick "tiled warpscans" prefix scan algorithm. Execution is comprised of four phases: * -# Upsweep sequential reduction in registers (if threads contribute more than one input each). Each thread then places the partial reduction of its item(s) into shared memory. * -# Compute a shallow, but inefficient warp-synchronous Kogge-Stone style scan within each warp. * -# A propagation phase where the warp scan outputs in each warp are updated with the aggregate from each preceding warp. * -# Downsweep sequential scan in registers (if threads contribute more than one input), seeded with the raking scan output. * * @par * @image html block_scan_warpscans.png *
\p BLOCK_SCAN_WARP_SCANS data flow for a hypothetical 16-thread thread block and 4-thread raking warp.
* * @par Performance Considerations * - Although this variant may suffer lower overall throughput across the * GPU because due to a heavy reliance on inefficient warpscans, it can * often provide lower turnaround latencies when the GPU is under-occupied. */ BLOCK_SCAN_WARP_SCANS, }; /****************************************************************************** * Block scan ******************************************************************************/ /** * @brief The BlockScan class provides [collective](index.html#sec0) methods for * computing a parallel prefix sum/scan of items partitioned across a * CUDA thread block. ![](block_scan_logo.png) * * @ingroup BlockModule * * @tparam T * Data type being scanned * * @tparam BLOCK_DIM_X * The thread block length in threads along the X dimension * * @tparam ALGORITHM * [optional] cub::BlockScanAlgorithm enumerator specifying the underlying algorithm to use (default: cub::BLOCK_SCAN_RAKING) * * @tparam BLOCK_DIM_Y * [optional] The thread block length in threads along the Y dimension (default: 1) * * @tparam BLOCK_DIM_Z * [optional] The thread block length in threads along the Z dimension (default: 1) * * @tparam LEGACY_PTX_ARCH * [optional] Unused. * * @par Overview * - Given a list of input elements and a binary reduction operator, a [prefix scan](http://en.wikipedia.org/wiki/Prefix_sum) * produces an output list where each element is computed to be the reduction * of the elements occurring earlier in the input list. Prefix sum * connotes a prefix scan with the addition operator. The term @em inclusive indicates * that the ith output reduction incorporates the ith input. * The term @em exclusive indicates the ith input is not incorporated into * the ith output reduction. * - \rowmajor * - BlockScan can be optionally specialized by algorithm to accommodate different workload profiles: * -# cub::BLOCK_SCAN_RAKING. * An efficient (high throughput) "raking reduce-then-scan" prefix scan algorithm. * [More...](\ref cub::BlockScanAlgorithm) * -# cub::BLOCK_SCAN_RAKING_MEMOIZE. * Similar to cub::BLOCK_SCAN_RAKING, but having higher throughput at the expense of additional * register pressure for intermediate storage. [More...](\ref cub::BlockScanAlgorithm) * -# cub::BLOCK_SCAN_WARP_SCANS. * A quick (low latency) "tiled warpscans" prefix scan algorithm. * [More...](\ref cub::BlockScanAlgorithm) * * @par Performance Considerations * - @granularity * - Uses special instructions when applicable (e.g., warp @p SHFL) * - Uses synchronization-free communication between warp lanes when applicable * - Invokes a minimal number of minimal block-wide synchronization barriers (only * one or two depending on algorithm selection) * - Incurs zero bank conflicts for most types * - Computation is slightly more efficient (i.e., having lower instruction overhead) for: * - Prefix sum variants (vs. generic scan) * - @blocksize * - See cub::BlockScanAlgorithm for performance details regarding algorithmic alternatives * * @par A Simple Example * @blockcollective{BlockScan} * @par * The code snippet below illustrates an exclusive prefix sum of 512 integer items that * are partitioned in a [blocked arrangement](index.html#sec5sec3) across 128 threads * where each thread owns 4 consecutive items. * @par * @code * #include // or equivalently * * __global__ void ExampleKernel(...) * { * // Specialize BlockScan for a 1D block of 128 threads of type int * typedef cub::BlockScan BlockScan; * * // Allocate shared memory for BlockScan * __shared__ typename BlockScan::TempStorage temp_storage; * * // Obtain a segment of consecutive items that are blocked across threads * int thread_data[4]; * ... * * // Collectively compute the block-wide exclusive prefix sum * BlockScan(temp_storage).ExclusiveSum(thread_data, thread_data); * * @endcode * @par * Suppose the set of input @p thread_data across the block of threads is * {[1,1,1,1], [1,1,1,1], ..., [1,1,1,1]}. * The corresponding output @p thread_data in those threads will be * {[0,1,2,3], [4,5,6,7], ..., [508,509,510,511]}. * * @par Re-using dynamically allocating shared memory * The following example under the examples/block folder illustrates usage of * dynamically shared memory with BlockReduce and how to re-purpose * the same memory region: * example_block_reduce_dyn_smem.cu * * This example can be easily adapted to the storage required by BlockScan. */ template < typename T, int BLOCK_DIM_X, BlockScanAlgorithm ALGORITHM = BLOCK_SCAN_RAKING, int BLOCK_DIM_Y = 1, int BLOCK_DIM_Z = 1, int LEGACY_PTX_ARCH = 0> class BlockScan { private: /****************************************************************************** * Constants and type definitions ******************************************************************************/ /// Constants enum { /// The thread block size in threads BLOCK_THREADS = BLOCK_DIM_X * BLOCK_DIM_Y * BLOCK_DIM_Z, }; /** * Ensure the template parameterization meets the requirements of the * specified algorithm. Currently, the BLOCK_SCAN_WARP_SCANS policy * cannot be used with thread block sizes not a multiple of the * architectural warp size. */ static constexpr BlockScanAlgorithm SAFE_ALGORITHM = ((ALGORITHM == BLOCK_SCAN_WARP_SCANS) && (BLOCK_THREADS % CUB_WARP_THREADS(0) != 0)) ? BLOCK_SCAN_RAKING : ALGORITHM; typedef BlockScanWarpScans WarpScans; typedef BlockScanRaking Raking; /// Define the delegate type for the desired algorithm using InternalBlockScan = cub::detail::conditional_t< SAFE_ALGORITHM == BLOCK_SCAN_WARP_SCANS, WarpScans, Raking>; /// Shared memory storage layout type for BlockScan typedef typename InternalBlockScan::TempStorage _TempStorage; /****************************************************************************** * Thread fields ******************************************************************************/ /// Shared storage reference _TempStorage &temp_storage; /// Linear thread-id unsigned int linear_tid; /****************************************************************************** * Utility methods ******************************************************************************/ /// Internal storage allocator __device__ __forceinline__ _TempStorage& PrivateStorage() { __shared__ _TempStorage private_storage; return private_storage; } /****************************************************************************** * Public types ******************************************************************************/ public: /// @smemstorage{BlockScan} struct TempStorage : Uninitialized<_TempStorage> {}; /******************************************************************//** * @name Collective constructors *********************************************************************/ //@{ /** * @brief Collective constructor using a private static allocation of shared memory as temporary storage. */ __device__ __forceinline__ BlockScan() : temp_storage(PrivateStorage()), linear_tid(RowMajorTid(BLOCK_DIM_X, BLOCK_DIM_Y, BLOCK_DIM_Z)) {} /** * @brief Collective constructor using the specified memory allocation as temporary storage. * * @param[in] temp_storage * Reference to memory allocation having layout type TempStorage */ __device__ __forceinline__ BlockScan(TempStorage &temp_storage) : temp_storage(temp_storage.Alias()) , linear_tid(RowMajorTid(BLOCK_DIM_X, BLOCK_DIM_Y, BLOCK_DIM_Z)) {} //@} end member group /******************************************************************//** * @name Exclusive prefix sum operations *********************************************************************/ //@{ /** * @brief Computes an exclusive block-wide prefix scan using addition (+) * as the scan operator. Each thread contributes one input element. * The value of 0 is applied as the initial value, and is assigned to * @p output in thread0. * * @par * - @identityzero * - @rowmajor * - @smemreuse * * @par Snippet * The code snippet below illustrates an exclusive prefix sum of 128 integer items that * are partitioned across 128 threads. * @par * @code * #include // or equivalently * * __global__ void ExampleKernel(...) * { * // Specialize BlockScan for a 1D block of 128 threads of type int * typedef cub::BlockScan BlockScan; * * // Allocate shared memory for BlockScan * __shared__ typename BlockScan::TempStorage temp_storage; * * // Obtain input item for each thread * int thread_data; * ... * * // Collectively compute the block-wide exclusive prefix sum * BlockScan(temp_storage).ExclusiveSum(thread_data, thread_data); * * @endcode * @par * Suppose the set of input @p thread_data across the block of threads is * 1, 1, ..., 1. The corresponding output @p thread_data in those * threads will be 0, 1, ..., 127. * * @param[in] input * Calling thread's input item * * @param[out] output * Calling thread's output item (may be aliased to @p input) */ __device__ __forceinline__ void ExclusiveSum(T input, T &output) { T initial_value{}; ExclusiveScan(input, output, initial_value, cub::Sum()); } /** * @brief Computes an exclusive block-wide prefix scan using addition (+) * as the scan operator. Each thread contributes one input element. * The value of 0 is applied as the initial value, and is assigned to * @p output in thread0. Also provides every thread * with the block-wide @p block_aggregate of all inputs. * * @par * - @identityzero * - @rowmajor * - @smemreuse * * @par Snippet * The code snippet below illustrates an exclusive prefix sum of 128 integer items that * are partitioned across 128 threads. * @par * @code * #include // or equivalently * * __global__ void ExampleKernel(...) * { * // Specialize BlockScan for a 1D block of 128 threads of type int * typedef cub::BlockScan BlockScan; * * // Allocate shared memory for BlockScan * __shared__ typename BlockScan::TempStorage temp_storage; * * // Obtain input item for each thread * int thread_data; * ... * * // Collectively compute the block-wide exclusive prefix sum * int block_aggregate; * BlockScan(temp_storage).ExclusiveSum(thread_data, thread_data, block_aggregate); * * @endcode * @par * Suppose the set of input @p thread_data across the block of threads is * 1, 1, ..., 1. The corresponding output @p thread_data in those * threads will be 0, 1, ..., 127. Furthermore the value @p 128 will * be stored in @p block_aggregate for all threads. * * @param[in] input * Calling thread's input item * * @param[out] output * Calling thread's output item (may be aliased to \p input) * * @param[out] block_aggregate * block-wide aggregate reduction of input items */ __device__ __forceinline__ void ExclusiveSum(T input, T &output, T &block_aggregate) { T initial_value{}; ExclusiveScan(input, output, initial_value, cub::Sum(), block_aggregate); } /** * @brief Computes an exclusive block-wide prefix scan using addition (+) * as the scan operator. Each thread contributes one input element. * Instead of using 0 as the block-wide prefix, the call-back functor * @p block_prefix_callback_op is invoked by the first warp in the block, * and the value returned by lane0 in that warp is used * as the "seed" value that logically prefixes the thread block's scan inputs. * Also provides every thread with the block-wide @p block_aggregate of all inputs. * * @par * - @identityzero * - The @p block_prefix_callback_op functor must implement a member function * T operator()(T block_aggregate). The functor's input parameter * @p block_aggregate is the same value also returned by the scan operation. * The functor will be invoked by the first warp of threads in the block, * however only the return value from lane0 is applied * as the block-wide prefix. Can be stateful. * - @rowmajor * - @smemreuse * * @par Snippet * The code snippet below illustrates a single thread block that progressively * computes an exclusive prefix sum over multiple "tiles" of input using a * prefix functor to maintain a running total between block-wide scans. Each tile consists * of 128 integer items that are partitioned across 128 threads. * @par * @code * #include // or equivalently * * // A stateful callback functor that maintains a running prefix to be applied * // during consecutive scan operations. * struct BlockPrefixCallbackOp * { * // Running prefix * int running_total; * * // Constructor * __device__ BlockPrefixCallbackOp(int running_total) : running_total(running_total) {} * * // Callback operator to be entered by the first warp of threads in the block. * // Thread-0 is responsible for returning a value for seeding the block-wide scan. * __device__ int operator()(int block_aggregate) * { * int old_prefix = running_total; * running_total += block_aggregate; * return old_prefix; * } * }; * * __global__ void ExampleKernel(int *d_data, int num_items, ...) * { * // Specialize BlockScan for a 1D block of 128 threads * typedef cub::BlockScan BlockScan; * * // Allocate shared memory for BlockScan * __shared__ typename BlockScan::TempStorage temp_storage; * * // Initialize running total * BlockPrefixCallbackOp prefix_op(0); * * // Have the block iterate over segments of items * for (int block_offset = 0; block_offset < num_items; block_offset += 128) * { * // Load a segment of consecutive items that are blocked across threads * int thread_data = d_data[block_offset]; * * // Collectively compute the block-wide exclusive prefix sum * BlockScan(temp_storage).ExclusiveSum( * thread_data, thread_data, prefix_op); * CTA_SYNC(); * * // Store scanned items to output segment * d_data[block_offset] = thread_data; * } * @endcode * @par * Suppose the input @p d_data is 1, 1, 1, 1, 1, 1, 1, 1, .... * The corresponding output for the first segment will be 0, 1, ..., 127. * The output for the second segment will be 128, 129, ..., 255. * * @tparam BlockPrefixCallbackOp * [inferred] Call-back functor type having member * T operator()(T block_aggregate) * * @param[in] input * Calling thread's input item * * @param[out] output * Calling thread's output item (may be aliased to \p input) * * @param[in-out] block_prefix_callback_op * [warp0 only] Call-back functor for specifying a * block-wide prefix to be applied to the logical input sequence. */ template __device__ __forceinline__ void ExclusiveSum(T input, T &output, BlockPrefixCallbackOp &block_prefix_callback_op) { ExclusiveScan(input, output, cub::Sum(), block_prefix_callback_op); } //@} end member group /******************************************************************//** * @name Exclusive prefix sum operations (multiple data per thread) *********************************************************************/ //@{ /** * @brief Computes an exclusive block-wide prefix scan using addition (+) * as the scan operator. Each thread contributes an array of consecutive * input elements. The value of 0 is applied as the initial value, and is * assigned to @p output[0] in thread0. * * @par * - @identityzero * - @blocked * - @granularity * - @smemreuse * * @par Snippet * The code snippet below illustrates an exclusive prefix sum of 512 integer items that * are partitioned in a [blocked arrangement](index.html#sec5sec3) across 128 threads * where each thread owns 4 consecutive items. * @par * @code * #include // or equivalently * * __global__ void ExampleKernel(...) * { * // Specialize BlockScan for a 1D block of 128 threads of type int * typedef cub::BlockScan BlockScan; * * // Allocate shared memory for BlockScan * __shared__ typename BlockScan::TempStorage temp_storage; * * // Obtain a segment of consecutive items that are blocked across threads * int thread_data[4]; * ... * * // Collectively compute the block-wide exclusive prefix sum * BlockScan(temp_storage).ExclusiveSum(thread_data, thread_data); * * @endcode * @par * Suppose the set of input @p thread_data across the block of threads is * { [1,1,1,1], [1,1,1,1], ..., [1,1,1,1] }. The corresponding output * @p thread_data in those threads will be * { [0,1,2,3], [4,5,6,7], ..., [508,509,510,511] }. * * @tparam ITEMS_PER_THREAD * [inferred] The number of consecutive items partitioned onto each thread. * * @param[in] input * Calling thread's input items * * @param[out] output * Calling thread's output items (may be aliased to @p input) */ template __device__ __forceinline__ void ExclusiveSum(T (&input)[ITEMS_PER_THREAD], T (&output)[ITEMS_PER_THREAD]) { T initial_value{}; ExclusiveScan(input, output, initial_value, cub::Sum()); } /** * @brief Computes an exclusive block-wide prefix scan using addition (+) * as the scan operator. Each thread contributes an array of consecutive * input elements. The value of 0 is applied as the initial value, and is * assigned to @p output[0] in thread0. Also provides * every thread with the block-wide @p block_aggregate of all inputs. * * @par * - @identityzero * - @blocked * - @granularity * - @smemreuse * * @par Snippet * The code snippet below illustrates an exclusive prefix sum of 512 integer items that * are partitioned in a [blocked arrangement](index.html#sec5sec3) across 128 threads * where each thread owns 4 consecutive items. * @par * @code * #include // or equivalently * * __global__ void ExampleKernel(...) * { * // Specialize BlockScan for a 1D block of 128 threads of type int * typedef cub::BlockScan BlockScan; * * // Allocate shared memory for BlockScan * __shared__ typename BlockScan::TempStorage temp_storage; * * // Obtain a segment of consecutive items that are blocked across threads * int thread_data[4]; * ... * * // Collectively compute the block-wide exclusive prefix sum * int block_aggregate; * BlockScan(temp_storage).ExclusiveSum(thread_data, thread_data, block_aggregate); * * @endcode * @par * Suppose the set of input @p thread_data across the block of threads is * { [1,1,1,1], [1,1,1,1], ..., [1,1,1,1] }. The * corresponding output @p thread_data in those threads will be * { [0,1,2,3], [4,5,6,7], ..., [508,509,510,511] }. * Furthermore the value @p 512 will be stored in @p block_aggregate for all threads. * * @tparam ITEMS_PER_THREAD * [inferred] The number of consecutive items partitioned onto each thread. * * @param[in] input * Calling thread's input items * * @param[out] output * Calling thread's output items (may be aliased to \p input) * * @param[out] block_aggregate * block-wide aggregate reduction of input items */ template __device__ __forceinline__ void ExclusiveSum(T (&input)[ITEMS_PER_THREAD], T (&output)[ITEMS_PER_THREAD], T &block_aggregate) { // Reduce consecutive thread items in registers T initial_value{}; ExclusiveScan(input, output, initial_value, cub::Sum(), block_aggregate); } /** * @brief Computes an exclusive block-wide prefix scan using addition (+) * as the scan operator. Each thread contributes an array of consecutive * input elements. Instead of using 0 as the block-wide prefix, the * call-back functor @p block_prefix_callback_op is invoked by the first warp * in the block, and the value returned by lane0 in that * warp is used as the "seed" value that logically prefixes the thread block's * scan inputs. Also provides every thread with the block-wide * @p block_aggregate of all inputs. * * @par * - @identityzero * - The @p block_prefix_callback_op functor must implement a member function * T operator()(T block_aggregate). * The functor's input parameter @p block_aggregate is the same value also returned * by the scan operation. The functor will be invoked by the first warp of threads in * the block, however only the return value from * lane0 is applied as the block-wide prefix. * Can be stateful. * - @blocked * - @granularity * - @smemreuse * * @par Snippet * The code snippet below illustrates a single thread block that progressively * computes an exclusive prefix sum over multiple "tiles" of input using a * prefix functor to maintain a running total between block-wide scans. Each tile consists * of 512 integer items that are partitioned in a [blocked * arrangement](index.html#sec5sec3) across 128 threads where each thread owns 4 * consecutive items. * @par * @code * #include // or equivalently * * // A stateful callback functor that maintains a running prefix to be applied * // during consecutive scan operations. * struct BlockPrefixCallbackOp * { * // Running prefix * int running_total; * * // Constructor * __device__ BlockPrefixCallbackOp(int running_total) : running_total(running_total) {} * * // Callback operator to be entered by the first warp of threads in the block. * // Thread-0 is responsible for returning a value for seeding the block-wide scan. * __device__ int operator()(int block_aggregate) * { * int old_prefix = running_total; * running_total += block_aggregate; * return old_prefix; * } * }; * * __global__ void ExampleKernel(int *d_data, int num_items, ...) * { * // Specialize BlockLoad, BlockStore, and BlockScan for a 1D block of 128 threads, 4 ints per thread * typedef cub::BlockLoad BlockLoad; * typedef cub::BlockStore BlockStore; * typedef cub::BlockScan BlockScan; * * // Allocate aliased shared memory for BlockLoad, BlockStore, and BlockScan * __shared__ union { * typename BlockLoad::TempStorage load; * typename BlockScan::TempStorage scan; * typename BlockStore::TempStorage store; * } temp_storage; * * // Initialize running total * BlockPrefixCallbackOp prefix_op(0); * * // Have the block iterate over segments of items * for (int block_offset = 0; block_offset < num_items; block_offset += 128 * 4) * { * // Load a segment of consecutive items that are blocked across threads * int thread_data[4]; * BlockLoad(temp_storage.load).Load(d_data + block_offset, thread_data); * CTA_SYNC(); * * // Collectively compute the block-wide exclusive prefix sum * int block_aggregate; * BlockScan(temp_storage.scan).ExclusiveSum( * thread_data, thread_data, prefix_op); * CTA_SYNC(); * * // Store scanned items to output segment * BlockStore(temp_storage.store).Store(d_data + block_offset, thread_data); * CTA_SYNC(); * } * @endcode * @par * Suppose the input @p d_data is 1, 1, 1, 1, 1, 1, 1, 1, .... * The corresponding output for the first segment will be * 0, 1, 2, 3, ..., 510, 511. The output for the second segment * will be 512, 513, 514, 515, ..., 1022, 1023. * * @tparam ITEMS_PER_THREAD * [inferred] The number of consecutive items partitioned onto each thread. * * @tparam BlockPrefixCallbackOp * [inferred] Call-back functor type having member * T operator()(T block_aggregate) * * @param[in] input * Calling thread's input items * * @param[out] output * Calling thread's output items (may be aliased to \p input) * * @param[in-out] block_prefix_callback_op * [warp0 only] Call-back functor for specifying a * block-wide prefix to be applied to the logical input sequence. */ template __device__ __forceinline__ void ExclusiveSum(T (&input)[ITEMS_PER_THREAD], T (&output)[ITEMS_PER_THREAD], BlockPrefixCallbackOp &block_prefix_callback_op) { ExclusiveScan(input, output, cub::Sum(), block_prefix_callback_op); } //@} end member group // Exclusive prefix sums /******************************************************************//** * @name Exclusive prefix scan operations *********************************************************************/ //@{ /** * @brief Computes an exclusive block-wide prefix scan using the specified binary * @p scan_op functor. Each thread contributes one input element. * * @par * - Supports non-commutative scan operators. * - @rowmajor * - @smemreuse * * @par Snippet * The code snippet below illustrates an exclusive prefix max scan of 128 integer items that * are partitioned across 128 threads. * @par * @code * #include // or equivalently * * __global__ void ExampleKernel(...) * { * // Specialize BlockScan for a 1D block of 128 threads of type int * typedef cub::BlockScan BlockScan; * * // Allocate shared memory for BlockScan * __shared__ typename BlockScan::TempStorage temp_storage; * * // Obtain input item for each thread * int thread_data; * ... * * // Collectively compute the block-wide exclusive prefix max scan * BlockScan(temp_storage).ExclusiveScan(thread_data, thread_data, INT_MIN, cub::Max()); * * @endcode * @par * Suppose the set of input @p thread_data across the block of threads is * 0, -1, 2, -3, ..., 126, -127. The corresponding output @p thread_data * in those threads will be INT_MIN, 0, 0, 2, ..., 124, 126. * * @tparam ScanOp * [inferred] Binary scan functor type having member * T operator()(const T &a, const T &b) * * @param[in] input * Calling thread's input item * * @param[out] output * Calling thread's output item (may be aliased to @p input) * * @param[in] initial_value * Initial value to seed the exclusive scan (and is assigned to @p output[0] in * thread0) * * @param[in] scan_op * Binary scan functor */ template __device__ __forceinline__ void ExclusiveScan(T input, T &output, T initial_value, ScanOp scan_op) { InternalBlockScan(temp_storage).ExclusiveScan(input, output, initial_value, scan_op); } /** * @brief Computes an exclusive block-wide prefix scan using the specified * binary @p scan_op functor. Each thread contributes one input element. * Also provides every thread with the block-wide @p block_aggregate of all inputs. * * @par * - Supports non-commutative scan operators. * - @rowmajor * - @smemreuse * * @par Snippet * The code snippet below illustrates an exclusive prefix max scan of 128 integer items that * are partitioned across 128 threads. * @par * @code * #include // or equivalently * * __global__ void ExampleKernel(...) * { * // Specialize BlockScan for a 1D block of 128 threads of type int * typedef cub::BlockScan BlockScan; * * // Allocate shared memory for BlockScan * __shared__ typename BlockScan::TempStorage temp_storage; * * // Obtain input item for each thread * int thread_data; * ... * * // Collectively compute the block-wide exclusive prefix max scan * int block_aggregate; * BlockScan(temp_storage).ExclusiveScan(thread_data, thread_data, INT_MIN, cub::Max(), block_aggregate); * * @endcode * @par * Suppose the set of input @p thread_data across the block of threads is * 0, -1, 2, -3, ..., 126, -127. The corresponding output * @p thread_data in those threads will be INT_MIN, 0, 0, 2, ..., 124, 126. * Furthermore the value @p 126 will be stored in @p block_aggregate for all threads. * * @tparam ScanOp * [inferred] Binary scan functor type having member * T operator()(const T &a, const T &b) * * @param[in] input * Calling thread's input items * * @param[out] output * Calling thread's output items (may be aliased to @p input) * * @param[in] initial_value * Initial value to seed the exclusive scan (and is assigned to * @p output[0] in thread0) * * @param[in] scan_op * Binary scan functor * * @param[out] block_aggregate * block-wide aggregate reduction of input items */ template __device__ __forceinline__ void ExclusiveScan(T input, T &output, T initial_value, ScanOp scan_op, T &block_aggregate) { InternalBlockScan(temp_storage).ExclusiveScan(input, output, initial_value, scan_op, block_aggregate); } /** * @brief Computes an exclusive block-wide prefix scan using the * specified binary @p scan_op functor. Each thread contributes one input element. * the call-back functor @p block_prefix_callback_op is invoked by the first warp * in the block, and the value returned by lane0 in that warp * is used as the "seed" value that logically prefixes the thread block's scan * inputs. Also provides every thread with the block-wide @p block_aggregate of * all inputs. * * @par * - The @p block_prefix_callback_op functor must implement a member function * T operator()(T block_aggregate). The functor's input parameter @p block_aggregate * is the same value also returned by the scan operation. The functor will be invoked by the * first warp of threads in the block, however only the return value from * lane0 is applied as the block-wide prefix. Can be stateful. * - Supports non-commutative scan operators. * - @rowmajor * - @smemreuse * * @par Snippet * The code snippet below illustrates a single thread block that progressively * computes an exclusive prefix max scan over multiple "tiles" of input using a * prefix functor to maintain a running total between block-wide scans. Each tile consists * of 128 integer items that are partitioned across 128 threads. * @par * @code * #include // or equivalently * * // A stateful callback functor that maintains a running prefix to be applied * // during consecutive scan operations. * struct BlockPrefixCallbackOp * { * // Running prefix * int running_total; * * // Constructor * __device__ BlockPrefixCallbackOp(int running_total) : running_total(running_total) {} * * // Callback operator to be entered by the first warp of threads in the block. * // Thread-0 is responsible for returning a value for seeding the block-wide scan. * __device__ int operator()(int block_aggregate) * { * int old_prefix = running_total; * running_total = (block_aggregate > old_prefix) ? block_aggregate : old_prefix; * return old_prefix; * } * }; * * __global__ void ExampleKernel(int *d_data, int num_items, ...) * { * // Specialize BlockScan for a 1D block of 128 threads * typedef cub::BlockScan BlockScan; * * // Allocate shared memory for BlockScan * __shared__ typename BlockScan::TempStorage temp_storage; * * // Initialize running total * BlockPrefixCallbackOp prefix_op(INT_MIN); * * // Have the block iterate over segments of items * for (int block_offset = 0; block_offset < num_items; block_offset += 128) * { * // Load a segment of consecutive items that are blocked across threads * int thread_data = d_data[block_offset]; * * // Collectively compute the block-wide exclusive prefix max scan * BlockScan(temp_storage).ExclusiveScan( * thread_data, thread_data, INT_MIN, cub::Max(), prefix_op); * CTA_SYNC(); * * // Store scanned items to output segment * d_data[block_offset] = thread_data; * } * @endcode * @par * Suppose the input @p d_data is 0, -1, 2, -3, 4, -5, .... * The corresponding output for the first segment will be * INT_MIN, 0, 0, 2, ..., 124, 126. The output for the second segment * will be 126, 128, 128, 130, ..., 252, 254. * * @tparam ScanOp * [inferred] Binary scan functor type having member * T operator()(const T &a, const T &b) * * @tparam BlockPrefixCallbackOp * [inferred] Call-back functor type having member * T operator()(T block_aggregate) * * @param[in] input * Calling thread's input item * * @param[out] output * Calling thread's output item (may be aliased to @p input) * * @param[in] scan_op * Binary scan functor * * @param[in-out] block_prefix_callback_op * [warp0 only] Call-back functor for specifying a block-wide * prefix to be applied to the logical input sequence. */ template __device__ __forceinline__ void ExclusiveScan(T input, T &output, ScanOp scan_op, BlockPrefixCallbackOp &block_prefix_callback_op) { InternalBlockScan(temp_storage).ExclusiveScan(input, output, scan_op, block_prefix_callback_op); } //@} end member group // Inclusive prefix sums /******************************************************************//** * @name Exclusive prefix scan operations (multiple data per thread) *********************************************************************/ //@{ /** * @brief Computes an exclusive block-wide prefix scan using the * specified binary @p scan_op functor. Each thread contributes an * array of consecutive input elements. * * @par * - Supports non-commutative scan operators. * - @blocked * - @granularity * - @smemreuse * * @par Snippet * The code snippet below illustrates an exclusive prefix max scan of 512 integer * items that are partitioned in a [blocked arrangement](index.html#sec5sec3) * across 128 threads where each thread owns 4 consecutive items. * @par * @code * #include // or equivalently * * __global__ void ExampleKernel(...) * { * // Specialize BlockScan for a 1D block of 128 threads of type int * typedef cub::BlockScan BlockScan; * * // Allocate shared memory for BlockScan * __shared__ typename BlockScan::TempStorage temp_storage; * * // Obtain a segment of consecutive items that are blocked across threads * int thread_data[4]; * ... * * // Collectively compute the block-wide exclusive prefix max scan * BlockScan(temp_storage).ExclusiveScan(thread_data, thread_data, INT_MIN, cub::Max()); * * @endcode * @par * Suppose the set of input @p thread_data across the block of threads is * { [0,-1,2,-3], [4,-5,6,-7], ..., [508,-509,510,-511] }. * The corresponding output @p thread_data in those threads will be * { [INT_MIN,0,0,2], [2,4,4,6], ..., [506,508,508,510] }. * * @tparam ITEMS_PER_THREAD * [inferred] The number of consecutive items partitioned onto each thread. * * @tparam ScanOp * [inferred] Binary scan functor type having member * T operator()(const T &a, const T &b) * * @param[in] input * Calling thread's input items * * @param[out] output * Calling thread's output items (may be aliased to @p input) * * @param[in] initial_value * Initial value to seed the exclusive scan (and is assigned to @p output[0] in * thread0) * * @param[in] scan_op * Binary scan functor */ template __device__ __forceinline__ void ExclusiveScan(T (&input)[ITEMS_PER_THREAD], T (&output)[ITEMS_PER_THREAD], T initial_value, ScanOp scan_op) { // Reduce consecutive thread items in registers T thread_prefix = internal::ThreadReduce(input, scan_op); // Exclusive thread block-scan ExclusiveScan(thread_prefix, thread_prefix, initial_value, scan_op); // Exclusive scan in registers with prefix as seed internal::ThreadScanExclusive(input, output, scan_op, thread_prefix); } /** * @brief Computes an exclusive block-wide prefix scan using the * specified binary @p scan_op functor. Each thread contributes an * array of consecutive input elements. Also provides every thread * with the block-wide @p block_aggregate of all inputs. * * @par * - Supports non-commutative scan operators. * - @blocked * - @granularity * - @smemreuse * * @par Snippet * The code snippet below illustrates an exclusive prefix max scan of 512 integer items that * are partitioned in a [blocked arrangement](index.html#sec5sec3) across 128 threads * where each thread owns 4 consecutive items. * @par * @code * #include // or equivalently * * __global__ void ExampleKernel(...) * { * // Specialize BlockScan for a 1D block of 128 threads of type int * typedef cub::BlockScan BlockScan; * * // Allocate shared memory for BlockScan * __shared__ typename BlockScan::TempStorage temp_storage; * * // Obtain a segment of consecutive items that are blocked across threads * int thread_data[4]; * ... * * // Collectively compute the block-wide exclusive prefix max scan * int block_aggregate; * BlockScan(temp_storage).ExclusiveScan(thread_data, thread_data, INT_MIN, cub::Max(), block_aggregate); * * @endcode * @par * Suppose the set of input @p thread_data across the block of threads is * { [0,-1,2,-3], [4,-5,6,-7], ..., [508,-509,510,-511] }. * The corresponding output @p thread_data in those threads will be * { [INT_MIN,0,0,2], [2,4,4,6], ..., [506,508,508,510] }. * Furthermore the value @p 510 will be stored in @p block_aggregate for all threads. * * @tparam ITEMS_PER_THREAD * [inferred] The number of consecutive items partitioned onto each thread. * * @tparam ScanOp * [inferred] Binary scan functor type having member * T operator()(const T &a, const T &b) * * @param input * [in] Calling thread's input items * * @param output * [out] Calling thread's output items (may be aliased to @p input) * * @param initial_value * [in] Initial value to seed the exclusive scan * (and is assigned to @p output[0] in thread0) * * @param scan_op * [in] Binary scan functor * * @param block_aggregate * [out] block-wide aggregate reduction of input items */ template __device__ __forceinline__ void ExclusiveScan(T (&input)[ITEMS_PER_THREAD], T (&output)[ITEMS_PER_THREAD], T initial_value, ScanOp scan_op, T &block_aggregate) { // Reduce consecutive thread items in registers T thread_prefix = internal::ThreadReduce(input, scan_op); // Exclusive thread block-scan ExclusiveScan(thread_prefix, thread_prefix, initial_value, scan_op, block_aggregate); // Exclusive scan in registers with prefix as seed internal::ThreadScanExclusive(input, output, scan_op, thread_prefix); } /** * @brief Computes an exclusive block-wide prefix scan using the * specified binary @p scan_op functor. Each thread contributes an * array of consecutive input elements. The call-back functor * @p block_prefix_callback_op is invoked by the first warp in the block, * and the value returned by lane0 in that warp is used as * the "seed" value that logically prefixes the thread block's scan inputs. * Also provides every thread with the block-wide @p block_aggregate of all inputs. * * @par * - The @p block_prefix_callback_op functor must implement a member function * T operator()(T block_aggregate). The functor's input parameter @p block_aggregate * is the same value also returned by the scan operation. The functor will be invoked by the * first warp of threads in the block, however only the return value from * lane0 is applied as the block-wide prefix. Can be stateful. * - Supports non-commutative scan operators. * - @blocked * - @granularity * - @smemreuse * * @par Snippet * The code snippet below illustrates a single thread block that progressively * computes an exclusive prefix max scan over multiple "tiles" of input using a * prefix functor to maintain a running total between block-wide scans. Each tile consists * of 128 integer items that are partitioned across 128 threads. * @par * @code * #include // or equivalently * * // A stateful callback functor that maintains a running prefix to be applied * // during consecutive scan operations. * struct BlockPrefixCallbackOp * { * // Running prefix * int running_total; * * // Constructor * __device__ BlockPrefixCallbackOp(int running_total) : running_total(running_total) {} * * // Callback operator to be entered by the first warp of threads in the block. * // Thread-0 is responsible for returning a value for seeding the block-wide scan. * __device__ int operator()(int block_aggregate) * { * int old_prefix = running_total; * running_total = (block_aggregate > old_prefix) ? block_aggregate : old_prefix; * return old_prefix; * } * }; * * __global__ void ExampleKernel(int *d_data, int num_items, ...) * { * // Specialize BlockLoad, BlockStore, and BlockScan for a 1D block of 128 threads, 4 ints per thread * typedef cub::BlockLoad BlockLoad; * typedef cub::BlockStore BlockStore; * typedef cub::BlockScan BlockScan; * * // Allocate aliased shared memory for BlockLoad, BlockStore, and BlockScan * __shared__ union { * typename BlockLoad::TempStorage load; * typename BlockScan::TempStorage scan; * typename BlockStore::TempStorage store; * } temp_storage; * * // Initialize running total * BlockPrefixCallbackOp prefix_op(0); * * // Have the block iterate over segments of items * for (int block_offset = 0; block_offset < num_items; block_offset += 128 * 4) * { * // Load a segment of consecutive items that are blocked across threads * int thread_data[4]; * BlockLoad(temp_storage.load).Load(d_data + block_offset, thread_data); * CTA_SYNC(); * * // Collectively compute the block-wide exclusive prefix max scan * BlockScan(temp_storage.scan).ExclusiveScan( * thread_data, thread_data, INT_MIN, cub::Max(), prefix_op); * CTA_SYNC(); * * // Store scanned items to output segment * BlockStore(temp_storage.store).Store(d_data + block_offset, thread_data); * CTA_SYNC(); * } * @endcode * @par * Suppose the input @p d_data is 0, -1, 2, -3, 4, -5, .... * The corresponding output for the first segment will be * INT_MIN, 0, 0, 2, 2, 4, ..., 508, 510. * The output for the second segment will be * 510, 512, 512, 514, 514, 516, ..., 1020, 1022. * * @tparam ITEMS_PER_THREAD * [inferred] The number of consecutive items partitioned onto each thread. * * @tparam ScanOp * [inferred] Binary scan functor type having member * T operator()(const T &a, const T &b) * * @tparam BlockPrefixCallbackOp * [inferred] Call-back functor type having member * T operator()(T block_aggregate) * * @param input * [in] Calling thread's input items * * @param output * [out] Calling thread's output items (may be aliased to @p input) * * @param scan_op * [in] Binary scan functor * * @param block_prefix_callback_op * [in-out] [warp0 only] Call-back functor for * specifying a block-wide prefix to be applied to the logical input sequence. */ template __device__ __forceinline__ void ExclusiveScan(T (&input)[ITEMS_PER_THREAD], T (&output)[ITEMS_PER_THREAD], ScanOp scan_op, BlockPrefixCallbackOp &block_prefix_callback_op) { // Reduce consecutive thread items in registers T thread_prefix = internal::ThreadReduce(input, scan_op); // Exclusive thread block-scan ExclusiveScan(thread_prefix, thread_prefix, scan_op, block_prefix_callback_op); // Exclusive scan in registers with prefix as seed internal::ThreadScanExclusive(input, output, scan_op, thread_prefix); } //@} end member group #ifndef DOXYGEN_SHOULD_SKIP_THIS // Do not document no-initial-value scans /******************************************************************//** * @name Exclusive prefix scan operations (no initial value, single datum per thread) *********************************************************************/ //@{ /** * @brief Computes an exclusive block-wide prefix scan using the * specified binary @p scan_op functor. Each thread contributes * one input element. With no initial value, the output computed * for thread0 is undefined. * * @par * - Supports non-commutative scan operators. * - @rowmajor * - @smemreuse * * @tparam ScanOp * [inferred] Binary scan functor type having member * T operator()(const T &a, const T &b) * * @param[in] input * Calling thread's input item * * @param[out] output * Calling thread's output item (may be aliased to @p input) * * @param[in] scan_op * Binary scan functor */ template __device__ __forceinline__ void ExclusiveScan(T input, T &output, ScanOp scan_op) { InternalBlockScan(temp_storage).ExclusiveScan(input, output, scan_op); } /** * @brief Computes an exclusive block-wide prefix scan using the * specified binary @p scan_op functor. Each thread contributes * one input element. Also provides every thread with the block-wide * @p block_aggregate of all inputs. With no initial value, the output * computed for thread0 is undefined. * * @par * - Supports non-commutative scan operators. * - @rowmajor * - @smemreuse * * @tparam ScanOp * [inferred] Binary scan functor type having member * T operator()(const T &a, const T &b) * * @param[in] input * Calling thread's input item * * @param[out] output * Calling thread's output item (may be aliased to @p input) * * @param[in] scan_op * Binary scan functor * * @param[out] block_aggregate * block-wide aggregate reduction of input items */ template __device__ __forceinline__ void ExclusiveScan(T input, T &output, ScanOp scan_op, T &block_aggregate) { InternalBlockScan(temp_storage).ExclusiveScan(input, output, scan_op, block_aggregate); } //@} end member group /******************************************************************//** * @name Exclusive prefix scan operations (no initial value, multiple data per thread) *********************************************************************/ //@{ /** * @brief Computes an exclusive block-wide prefix scan using the * specified binary @p scan_op functor. Each thread contributes an * array of consecutive input elements. With no initial value, the * output computed for thread0 is undefined. * * @par * - Supports non-commutative scan operators. * - @blocked * - @granularity * - @smemreuse * * @tparam ITEMS_PER_THREAD * [inferred] The number of consecutive items partitioned onto each thread. * * @tparam ScanOp * [inferred] Binary scan functor type having member * T operator()(const T &a, const T &b) * * @param[in] input * Calling thread's input items * * @param[out] output * Calling thread's output items (may be aliased to @p input) * * @param[in] scan_op * Binary scan functor */ template __device__ __forceinline__ void ExclusiveScan(T (&input)[ITEMS_PER_THREAD], T (&output)[ITEMS_PER_THREAD], ScanOp scan_op) { // Reduce consecutive thread items in registers T thread_partial = internal::ThreadReduce(input, scan_op); // Exclusive thread block-scan ExclusiveScan(thread_partial, thread_partial, scan_op); // Exclusive scan in registers with prefix internal::ThreadScanExclusive(input, output, scan_op, thread_partial, (linear_tid != 0)); } /** * @brief Computes an exclusive block-wide prefix scan using the * specified binary @p scan_op functor. Each thread contributes an * array of consecutive input elements. Also provides every thread * with the block-wide @p block_aggregate of all inputs. * With no initial value, the output computed for * thread0 is undefined. * * @par * - Supports non-commutative scan operators. * - @blocked * - @granularity * - @smemreuse * * @tparam ITEMS_PER_THREAD * [inferred] The number of consecutive items partitioned onto each thread. * * @tparam ScanOp * [inferred] Binary scan functor type having member * T operator()(const T &a, const T &b) * * @param[in] input * Calling thread's input items * * @param[out] output * Calling thread's output items (may be aliased to \p input) * * @param[in] scan_op * Binary scan functor * * @param[out] block_aggregate * block-wide aggregate reduction of input items */ template __device__ __forceinline__ void ExclusiveScan(T (&input)[ITEMS_PER_THREAD], T (&output)[ITEMS_PER_THREAD], ScanOp scan_op, T &block_aggregate) { // Reduce consecutive thread items in registers T thread_partial = internal::ThreadReduce(input, scan_op); // Exclusive thread block-scan ExclusiveScan(thread_partial, thread_partial, scan_op, block_aggregate); // Exclusive scan in registers with prefix internal::ThreadScanExclusive(input, output, scan_op, thread_partial, (linear_tid != 0)); } //@} end member group #endif // DOXYGEN_SHOULD_SKIP_THIS // Do not document no-initial-value scans /******************************************************************//** * @name Inclusive prefix sum operations *********************************************************************/ //@{ /** * @brief Computes an inclusive block-wide prefix scan using addition (+) * as the scan operator. Each thread contributes one input element. * * @par * - @rowmajor * - @smemreuse * * @par Snippet * The code snippet below illustrates an inclusive prefix sum of 128 integer items that * are partitioned across 128 threads. * @par * @code * #include // or equivalently * * __global__ void ExampleKernel(...) * { * // Specialize BlockScan for a 1D block of 128 threads of type int * typedef cub::BlockScan BlockScan; * * // Allocate shared memory for BlockScan * __shared__ typename BlockScan::TempStorage temp_storage; * * // Obtain input item for each thread * int thread_data; * ... * * // Collectively compute the block-wide inclusive prefix sum * BlockScan(temp_storage).InclusiveSum(thread_data, thread_data); * * @endcode * @par * Suppose the set of input @p thread_data across the block of threads is * 1, 1, ..., 1. The corresponding output @p thread_data in those threads * will be 1, 2, ..., 128. * * @param[in] input * Calling thread's input item * * @param[out] output * Calling thread's output item (may be aliased to @p input) */ __device__ __forceinline__ void InclusiveSum(T input, T &output) { InclusiveScan(input, output, cub::Sum()); } /** * @brief Computes an inclusive block-wide prefix scan using addition (+) * as the scan operator. Each thread contributes one input element. * Also provides every thread with the block-wide @p block_aggregate of all inputs. * * @par * - @rowmajor * - @smemreuse * * @par Snippet * The code snippet below illustrates an inclusive prefix sum of 128 integer items that * are partitioned across 128 threads. * @par * @code * #include // or equivalently * * __global__ void ExampleKernel(...) * { * // Specialize BlockScan for a 1D block of 128 threads of type int * typedef cub::BlockScan BlockScan; * * // Allocate shared memory for BlockScan * __shared__ typename BlockScan::TempStorage temp_storage; * * // Obtain input item for each thread * int thread_data; * ... * * // Collectively compute the block-wide inclusive prefix sum * int block_aggregate; * BlockScan(temp_storage).InclusiveSum(thread_data, thread_data, block_aggregate); * * @endcode * @par * Suppose the set of input @p thread_data across the block of threads is * 1, 1, ..., 1. The corresponding output @p thread_data in those * threads will be 1, 2, ..., 128. Furthermore the value @p 128 will * be stored in @p block_aggregate for all threads. * * @param[in] input * Calling thread's input item * * @param[out] output * Calling thread's output item (may be aliased to \p input) * * @param[out] block_aggregate * block-wide aggregate reduction of input items */ __device__ __forceinline__ void InclusiveSum(T input, T &output, T &block_aggregate) { InclusiveScan(input, output, cub::Sum(), block_aggregate); } /** * @brief Computes an inclusive block-wide prefix scan using addition (+) * as the scan operator. Each thread contributes one input element. * Instead of using 0 as the block-wide prefix, the call-back functor * @p block_prefix_callback_op is invoked by the first warp in the block, * and the value returned by lane0 in that warp is * used as the "seed" value that logically prefixes the thread block's * scan inputs. Also provides every thread with the block-wide * @p block_aggregate of all inputs. * * @par * - The @p block_prefix_callback_op functor must implement a member function * T operator()(T block_aggregate). The functor's input parameter * @p block_aggregate is the same value also returned by the scan operation. * The functor will be invoked by the first warp of threads in the block, * however only the return value from lane0 is applied * as the block-wide prefix. Can be stateful. * - @rowmajor * - @smemreuse * * @par Snippet * The code snippet below illustrates a single thread block that progressively * computes an inclusive prefix sum over multiple "tiles" of input using a * prefix functor to maintain a running total between block-wide scans. * Each tile consists of 128 integer items that are partitioned across 128 threads. * @par * @code * #include // or equivalently * * // A stateful callback functor that maintains a running prefix to be applied * // during consecutive scan operations. * struct BlockPrefixCallbackOp * { * // Running prefix * int running_total; * * // Constructor * __device__ BlockPrefixCallbackOp(int running_total) : running_total(running_total) {} * * // Callback operator to be entered by the first warp of threads in the block. * // Thread-0 is responsible for returning a value for seeding the block-wide scan. * __device__ int operator()(int block_aggregate) * { * int old_prefix = running_total; * running_total += block_aggregate; * return old_prefix; * } * }; * * __global__ void ExampleKernel(int *d_data, int num_items, ...) * { * // Specialize BlockScan for a 1D block of 128 threads * typedef cub::BlockScan BlockScan; * * // Allocate shared memory for BlockScan * __shared__ typename BlockScan::TempStorage temp_storage; * * // Initialize running total * BlockPrefixCallbackOp prefix_op(0); * * // Have the block iterate over segments of items * for (int block_offset = 0; block_offset < num_items; block_offset += 128) * { * // Load a segment of consecutive items that are blocked across threads * int thread_data = d_data[block_offset]; * * // Collectively compute the block-wide inclusive prefix sum * BlockScan(temp_storage).InclusiveSum( * thread_data, thread_data, prefix_op); * CTA_SYNC(); * * // Store scanned items to output segment * d_data[block_offset] = thread_data; * } * @endcode * @par * Suppose the input @p d_data is 1, 1, 1, 1, 1, 1, 1, 1, .... * The corresponding output for the first segment will be 1, 2, ..., 128. * The output for the second segment will be 129, 130, ..., 256. * * @tparam BlockPrefixCallbackOp * [inferred] Call-back functor type having member * T operator()(T block_aggregate) * * @param[in] input * Calling thread's input item * * @param[out] output * Calling thread's output item (may be aliased to @p input) * * @param[in-out] block_prefix_callback_op * [warp0 only] Call-back functor for specifying a * block-wide prefix to be applied to the logical input sequence. */ template __device__ __forceinline__ void InclusiveSum(T input, T &output, BlockPrefixCallbackOp &block_prefix_callback_op) { InclusiveScan(input, output, cub::Sum(), block_prefix_callback_op); } //@} end member group /******************************************************************//** * @name Inclusive prefix sum operations (multiple data per thread) *********************************************************************/ //@{ /** * @brief Computes an inclusive block-wide prefix scan using addition (+) * as the scan operator. Each thread contributes an array of * consecutive input elements. * * @par * - @blocked * - @granularity * - @smemreuse * * @par Snippet * The code snippet below illustrates an inclusive prefix sum of 512 integer items that * are partitioned in a [blocked arrangement](index.html#sec5sec3) across 128 threads * where each thread owns 4 consecutive items. * @par * @code * #include // or equivalently * * __global__ void ExampleKernel(...) * { * // Specialize BlockScan for a 1D block of 128 threads of type int * typedef cub::BlockScan BlockScan; * * // Allocate shared memory for BlockScan * __shared__ typename BlockScan::TempStorage temp_storage; * * // Obtain a segment of consecutive items that are blocked across threads * int thread_data[4]; * ... * * // Collectively compute the block-wide inclusive prefix sum * BlockScan(temp_storage).InclusiveSum(thread_data, thread_data); * * @endcode * @par * Suppose the set of input @p thread_data across the block of threads is * { [1,1,1,1], [1,1,1,1], ..., [1,1,1,1] }. The corresponding output * @p thread_data in those threads will be * { [1,2,3,4], [5,6,7,8], ..., [509,510,511,512] }. * * @tparam ITEMS_PER_THREAD * [inferred] The number of consecutive items partitioned onto each thread. * * @param[in] input * Calling thread's input items * * @param[out] output * Calling thread's output items (may be aliased to @p input) */ template __device__ __forceinline__ void InclusiveSum(T (&input)[ITEMS_PER_THREAD], T (&output)[ITEMS_PER_THREAD]) { if (ITEMS_PER_THREAD == 1) { InclusiveSum(input[0], output[0]); } else { // Reduce consecutive thread items in registers Sum scan_op; T thread_prefix = internal::ThreadReduce(input, scan_op); // Exclusive thread block-scan ExclusiveSum(thread_prefix, thread_prefix); // Inclusive scan in registers with prefix as seed internal::ThreadScanInclusive(input, output, scan_op, thread_prefix, (linear_tid != 0)); } } /** * @brief Computes an inclusive block-wide prefix scan using addition (+) * as the scan operator. Each thread contributes an array of consecutive * input elements. Also provides every thread with the block-wide * @p block_aggregate of all inputs. * * @par * - @blocked * - @granularity * - @smemreuse * * @par Snippet * The code snippet below illustrates an inclusive prefix sum of 512 integer items that * are partitioned in a [blocked arrangement](index.html#sec5sec3) across 128 threads * where each thread owns 4 consecutive items. * @par * @code * #include // or equivalently * * __global__ void ExampleKernel(...) * { * // Specialize BlockScan for a 1D block of 128 threads of type int * typedef cub::BlockScan BlockScan; * * // Allocate shared memory for BlockScan * __shared__ typename BlockScan::TempStorage temp_storage; * * // Obtain a segment of consecutive items that are blocked across threads * int thread_data[4]; * ... * * // Collectively compute the block-wide inclusive prefix sum * int block_aggregate; * BlockScan(temp_storage).InclusiveSum(thread_data, thread_data, block_aggregate); * * @endcode * @par * Suppose the set of input @p thread_data across the block of threads is * { [1,1,1,1], [1,1,1,1], ..., [1,1,1,1] }. The * corresponding output @p thread_data in those threads will be * { [1,2,3,4], [5,6,7,8], ..., [509,510,511,512] }. * Furthermore the value @p 512 will be stored in @p block_aggregate for all threads. * * @tparam ITEMS_PER_THREAD * [inferred] The number of consecutive items partitioned onto each thread. * * @tparam ScanOp * [inferred] Binary scan functor type having member * T operator()(const T &a, const T &b) * * @param[in] input * Calling thread's input items * * @param[out] output * Calling thread's output items (may be aliased to @p input) * * @param[out] block_aggregate * block-wide aggregate reduction of input items */ template __device__ __forceinline__ void InclusiveSum(T (&input)[ITEMS_PER_THREAD], T (&output)[ITEMS_PER_THREAD], T &block_aggregate) { if (ITEMS_PER_THREAD == 1) { InclusiveSum(input[0], output[0], block_aggregate); } else { // Reduce consecutive thread items in registers Sum scan_op; T thread_prefix = internal::ThreadReduce(input, scan_op); // Exclusive thread block-scan ExclusiveSum(thread_prefix, thread_prefix, block_aggregate); // Inclusive scan in registers with prefix as seed internal::ThreadScanInclusive(input, output, scan_op, thread_prefix, (linear_tid != 0)); } } /** * @brief Computes an inclusive block-wide prefix scan using addition (+) * as the scan operator. Each thread contributes an array of consecutive * input elements. Instead of using 0 as the block-wide prefix, the * call-back functor @p block_prefix_callback_op is invoked by the first * warp in the block, and the value returned by lane0 * in that warp is used as the "seed" value that logically prefixes the * thread block's scan inputs. Also provides every thread with the * block-wide @p block_aggregate of all inputs. * * @par * - The @p block_prefix_callback_op functor must implement a member function * T operator()(T block_aggregate). The functor's input parameter * @p block_aggregate is the same value also returned by the scan operation. * The functor will be invoked by the first warp of threads in the block, * however only the return value from lane0 is applied * as the block-wide prefix. Can be stateful. * - @blocked * - @granularity * - @smemreuse * * @par Snippet * The code snippet below illustrates a single thread block that progressively * computes an inclusive prefix sum over multiple "tiles" of input using a * prefix functor to maintain a running total between block-wide scans. Each tile consists * of 512 integer items that are partitioned in a * [blocked arrangement](index.html#sec5sec3) across 128 threads where each thread * owns 4 consecutive items. * @par * @code * #include // or equivalently * * // A stateful callback functor that maintains a running prefix to be applied * // during consecutive scan operations. * struct BlockPrefixCallbackOp * { * // Running prefix * int running_total; * * // Constructor * __device__ BlockPrefixCallbackOp(int running_total) : running_total(running_total) {} * * // Callback operator to be entered by the first warp of threads in the block. * // Thread-0 is responsible for returning a value for seeding the block-wide scan. * __device__ int operator()(int block_aggregate) * { * int old_prefix = running_total; * running_total += block_aggregate; * return old_prefix; * } * }; * * __global__ void ExampleKernel(int *d_data, int num_items, ...) * { * // Specialize BlockLoad, BlockStore, and BlockScan for a 1D block of 128 threads, 4 ints per thread * typedef cub::BlockLoad BlockLoad; * typedef cub::BlockStore BlockStore; * typedef cub::BlockScan BlockScan; * * // Allocate aliased shared memory for BlockLoad, BlockStore, and BlockScan * __shared__ union { * typename BlockLoad::TempStorage load; * typename BlockScan::TempStorage scan; * typename BlockStore::TempStorage store; * } temp_storage; * * // Initialize running total * BlockPrefixCallbackOp prefix_op(0); * * // Have the block iterate over segments of items * for (int block_offset = 0; block_offset < num_items; block_offset += 128 * 4) * { * // Load a segment of consecutive items that are blocked across threads * int thread_data[4]; * BlockLoad(temp_storage.load).Load(d_data + block_offset, thread_data); * CTA_SYNC(); * * // Collectively compute the block-wide inclusive prefix sum * BlockScan(temp_storage.scan).IncluisveSum( * thread_data, thread_data, prefix_op); * CTA_SYNC(); * * // Store scanned items to output segment * BlockStore(temp_storage.store).Store(d_data + block_offset, thread_data); * CTA_SYNC(); * } * @endcode * @par * Suppose the input @p d_data is 1, 1, 1, 1, 1, 1, 1, 1, .... * The corresponding output for the first segment will be * 1, 2, 3, 4, ..., 511, 512. The output for the second segment will be * 513, 514, 515, 516, ..., 1023, 1024. * * @tparam ITEMS_PER_THREAD * [inferred] The number of consecutive items partitioned onto each thread. * * @tparam BlockPrefixCallbackOp * [inferred] Call-back functor type having member * T operator()(T block_aggregate) * * @param[in] input * Calling thread's input items * * @param[out] output * Calling thread's output items (may be aliased to @p input) * * @param[in-out] block_prefix_callback_op * [warp0 only] Call-back functor for specifying a * block-wide prefix to be applied to the logical input sequence. */ template __device__ __forceinline__ void InclusiveSum(T (&input)[ITEMS_PER_THREAD], T (&output)[ITEMS_PER_THREAD], BlockPrefixCallbackOp &block_prefix_callback_op) { if (ITEMS_PER_THREAD == 1) { InclusiveSum(input[0], output[0], block_prefix_callback_op); } else { // Reduce consecutive thread items in registers Sum scan_op; T thread_prefix = internal::ThreadReduce(input, scan_op); // Exclusive thread block-scan ExclusiveSum(thread_prefix, thread_prefix, block_prefix_callback_op); // Inclusive scan in registers with prefix as seed internal::ThreadScanInclusive(input, output, scan_op, thread_prefix); } } //@} end member group /******************************************************************//** * @name Inclusive prefix scan operations *********************************************************************/ //@{ /** * @brief Computes an inclusive block-wide prefix scan using the * specified binary @p scan_op functor. Each thread contributes * one input element. * * @par * - Supports non-commutative scan operators. * - @rowmajor * - @smemreuse * * @par Snippet * The code snippet below illustrates an inclusive prefix max scan of 128 integer items that * are partitioned across 128 threads. * @par * @code * #include // or equivalently * * __global__ void ExampleKernel(...) * { * // Specialize BlockScan for a 1D block of 128 threads of type int * typedef cub::BlockScan BlockScan; * * // Allocate shared memory for BlockScan * __shared__ typename BlockScan::TempStorage temp_storage; * * // Obtain input item for each thread * int thread_data; * ... * * // Collectively compute the block-wide inclusive prefix max scan * BlockScan(temp_storage).InclusiveScan(thread_data, thread_data, cub::Max()); * * @endcode * @par * Suppose the set of input @p thread_data across the block of threads is * 0, -1, 2, -3, ..., 126, -127. The corresponding output @p thread_data * in those threads will be 0, 0, 2, 2, ..., 126, 126. * * @tparam ScanOp * [inferred] Binary scan functor type having member * T operator()(const T &a, const T &b) * * @param input * [in] Calling thread's input item * * @param output * [out] Calling thread's output item (may be aliased to @p input) * * @param scan_op * [in] Binary scan functor */ template __device__ __forceinline__ void InclusiveScan(T input, T &output, ScanOp scan_op) { InternalBlockScan(temp_storage).InclusiveScan(input, output, scan_op); } /** * @brief Computes an inclusive block-wide prefix scan using the * specified binary @p scan_op functor. Each thread contributes * one input element. Also provides every thread with the block-wide * @p block_aggregate of all inputs. * * @par * - Supports non-commutative scan operators. * - @rowmajor * - @smemreuse * * @par Snippet * The code snippet below illustrates an inclusive prefix max scan of 128 * integer items that are partitioned across 128 threads. * @par * @code * #include // or equivalently * * __global__ void ExampleKernel(...) * { * // Specialize BlockScan for a 1D block of 128 threads of type int * typedef cub::BlockScan BlockScan; * * // Allocate shared memory for BlockScan * __shared__ typename BlockScan::TempStorage temp_storage; * * // Obtain input item for each thread * int thread_data; * ... * * // Collectively compute the block-wide inclusive prefix max scan * int block_aggregate; * BlockScan(temp_storage).InclusiveScan(thread_data, thread_data, cub::Max(), block_aggregate); * * @endcode * @par * Suppose the set of input @p thread_data across the block of threads is * 0, -1, 2, -3, ..., 126, -127. The corresponding output @p thread_data * in those threads will be 0, 0, 2, 2, ..., 126, 126. Furthermore the value * @p 126 will be stored in @p block_aggregate for all threads. * * @tparam ScanOp * [inferred] Binary scan functor type having member * T operator()(const T &a, const T &b) * * @param[in] input * Calling thread's input item * * @param[out] output * Calling thread's output item (may be aliased to @p input) * * @param[in] scan_op * Binary scan functor * * @param[out] block_aggregate * block-wide aggregate reduction of input items */ template __device__ __forceinline__ void InclusiveScan(T input, T &output, ScanOp scan_op, T &block_aggregate) { InternalBlockScan(temp_storage).InclusiveScan(input, output, scan_op, block_aggregate); } /** * @brief Computes an inclusive block-wide prefix scan using the * specified binary @p scan_op functor. Each thread contributes * one input element. The call-back functor @p block_prefix_callback_op * is invoked by the first warp in the block, and the value returned by * lane0 in that warp is used as the "seed" value * that logically prefixes the thread block's scan inputs. * Also provides every thread with the block-wide @p block_aggregate of all inputs. * * @par * - The @p block_prefix_callback_op functor must implement a member function * T operator()(T block_aggregate). The functor's input parameter * @p block_aggregate is the same value also returned by the scan operation. * The functor will be invoked by the first warp of threads in the block, * however only the return value from lane0 is applied * as the block-wide prefix. Can be stateful. * - Supports non-commutative scan operators. * - @rowmajor * - @smemreuse * * @par Snippet * The code snippet below illustrates a single thread block that progressively * computes an inclusive prefix max scan over multiple "tiles" of input using a * prefix functor to maintain a running total between block-wide scans. Each tile consists * of 128 integer items that are partitioned across 128 threads. * @par * @code * #include // or equivalently * * // A stateful callback functor that maintains a running prefix to be applied * // during consecutive scan operations. * struct BlockPrefixCallbackOp * { * // Running prefix * int running_total; * * // Constructor * __device__ BlockPrefixCallbackOp(int running_total) : running_total(running_total) {} * * // Callback operator to be entered by the first warp of threads in the block. * // Thread-0 is responsible for returning a value for seeding the block-wide scan. * __device__ int operator()(int block_aggregate) * { * int old_prefix = running_total; * running_total = (block_aggregate > old_prefix) ? block_aggregate : old_prefix; * return old_prefix; * } * }; * * __global__ void ExampleKernel(int *d_data, int num_items, ...) * { * // Specialize BlockScan for a 1D block of 128 threads * typedef cub::BlockScan BlockScan; * * // Allocate shared memory for BlockScan * __shared__ typename BlockScan::TempStorage temp_storage; * * // Initialize running total * BlockPrefixCallbackOp prefix_op(INT_MIN); * * // Have the block iterate over segments of items * for (int block_offset = 0; block_offset < num_items; block_offset += 128) * { * // Load a segment of consecutive items that are blocked across threads * int thread_data = d_data[block_offset]; * * // Collectively compute the block-wide inclusive prefix max scan * BlockScan(temp_storage).InclusiveScan( * thread_data, thread_data, cub::Max(), prefix_op); * CTA_SYNC(); * * // Store scanned items to output segment * d_data[block_offset] = thread_data; * } * @endcode * @par * Suppose the input @p d_data is 0, -1, 2, -3, 4, -5, .... * The corresponding output for the first segment will be * 0, 0, 2, 2, ..., 126, 126. The output for the second segment * will be 128, 128, 130, 130, ..., 254, 254. * * @tparam ScanOp * [inferred] Binary scan functor type having member * T operator()(const T &a, const T &b) * * @tparam BlockPrefixCallbackOp * [inferred] Call-back functor type having member * T operator()(T block_aggregate) * * @param[in] input * Calling thread's input item * * @param[out] output * Calling thread's output item (may be aliased to @p input) * * @param[in] scan_op * Binary scan functor * * @param[in-out] block_prefix_callback_op * [warp0 only] Call-back functor for specifying a * block-wide prefix to be applied to the logical input sequence. */ template __device__ __forceinline__ void InclusiveScan(T input, T &output, ScanOp scan_op, BlockPrefixCallbackOp &block_prefix_callback_op) { InternalBlockScan(temp_storage).InclusiveScan(input, output, scan_op, block_prefix_callback_op); } //@} end member group /******************************************************************//** * @name Inclusive prefix scan operations (multiple data per thread) *********************************************************************/ //@{ /** * @brief Computes an inclusive block-wide prefix scan using the * specified binary @p scan_op functor. Each thread contributes * an array of consecutive input elements. * * @par * - Supports non-commutative scan operators. * - @blocked * - @granularity * - @smemreuse * * @par Snippet * The code snippet below illustrates an inclusive prefix max scan of 512 integer items that * are partitioned in a [blocked arrangement](index.html#sec5sec3) across 128 threads * where each thread owns 4 consecutive items. * @par * @code * #include // or equivalently * * __global__ void ExampleKernel(...) * { * // Specialize BlockScan for a 1D block of 128 threads of type int * typedef cub::BlockScan BlockScan; * * // Allocate shared memory for BlockScan * __shared__ typename BlockScan::TempStorage temp_storage; * * // Obtain a segment of consecutive items that are blocked across threads * int thread_data[4]; * ... * * // Collectively compute the block-wide inclusive prefix max scan * BlockScan(temp_storage).InclusiveScan(thread_data, thread_data, cub::Max()); * * @endcode * @par * Suppose the set of input @p thread_data across the block of threads is * { [0,-1,2,-3], [4,-5,6,-7], ..., [508,-509,510,-511] }. * The corresponding output @p thread_data in those threads will be * { [0,0,2,2], [4,4,6,6], ..., [508,508,510,510] }. * * @tparam ITEMS_PER_THREAD * [inferred] The number of consecutive items partitioned onto each thread. * * @tparam ScanOp * [inferred] Binary scan functor type having member * T operator()(const T &a, const T &b) * * @param[in] input * Calling thread's input items * * @param[out] output * Calling thread's output items (may be aliased to @p input) * * @param[in] scan_op * Binary scan functor */ template __device__ __forceinline__ void InclusiveScan(T (&input)[ITEMS_PER_THREAD], T (&output)[ITEMS_PER_THREAD], ScanOp scan_op) { if (ITEMS_PER_THREAD == 1) { InclusiveScan(input[0], output[0], scan_op); } else { // Reduce consecutive thread items in registers T thread_prefix = internal::ThreadReduce(input, scan_op); // Exclusive thread block-scan ExclusiveScan(thread_prefix, thread_prefix, scan_op); // Inclusive scan in registers with prefix as seed (first thread does not seed) internal::ThreadScanInclusive(input, output, scan_op, thread_prefix, (linear_tid != 0)); } } /** * @brief Computes an inclusive block-wide prefix scan using the * specified binary @p scan_op functor. Each thread contributes * an array of consecutive input elements. Also provides every thread * with the block-wide @p block_aggregate of all inputs. * * @par * - Supports non-commutative scan operators. * - @blocked * - @granularity * - @smemreuse * * @par Snippet * The code snippet below illustrates an inclusive prefix max scan of 512 integer items that * are partitioned in a [blocked arrangement](index.html#sec5sec3) across 128 threads * where each thread owns 4 consecutive items. * @par * @code * #include // or equivalently * * __global__ void ExampleKernel(...) * { * // Specialize BlockScan for a 1D block of 128 threads of type int * typedef cub::BlockScan BlockScan; * * // Allocate shared memory for BlockScan * __shared__ typename BlockScan::TempStorage temp_storage; * * // Obtain a segment of consecutive items that are blocked across threads * int thread_data[4]; * ... * * // Collectively compute the block-wide inclusive prefix max scan * int block_aggregate; * BlockScan(temp_storage).InclusiveScan(thread_data, thread_data, cub::Max(), * block_aggregate); * * @endcode * @par * Suppose the set of input @p thread_data across the block of threads is * { [0,-1,2,-3], [4,-5,6,-7], ..., [508,-509,510,-511] }. * The corresponding output @p thread_data in those threads will be * { [0,0,2,2], [4,4,6,6], ..., [508,508,510,510] }. * Furthermore the value @p 510 will be stored in @p block_aggregate for all threads. * * @tparam ITEMS_PER_THREAD * [inferred] The number of consecutive items partitioned onto each thread. * * @tparam ScanOp * [inferred] Binary scan functor type having member * T operator()(const T &a, const T &b) * * @param[in] input * Calling thread's input items * * @param[out] output * Calling thread's output items (may be aliased to @p input) * * @param[in] scan_op * Binary scan functor * * @param[out] block_aggregate * block-wide aggregate reduction of input items */ template __device__ __forceinline__ void InclusiveScan(T (&input)[ITEMS_PER_THREAD], T (&output)[ITEMS_PER_THREAD], ScanOp scan_op, T &block_aggregate) { if (ITEMS_PER_THREAD == 1) { InclusiveScan(input[0], output[0], scan_op, block_aggregate); } else { // Reduce consecutive thread items in registers T thread_prefix = internal::ThreadReduce(input, scan_op); // Exclusive thread block-scan (with no initial value) ExclusiveScan(thread_prefix, thread_prefix, scan_op, block_aggregate); // Inclusive scan in registers with prefix as seed (first thread does not seed) internal::ThreadScanInclusive(input, output, scan_op, thread_prefix, (linear_tid != 0)); } } /** * @brief Computes an inclusive block-wide prefix scan using the * specified binary @p scan_op functor. Each thread contributes an * array of consecutive input elements. The call-back functor * @p block_prefix_callback_op is invoked by the first warp in the block, * and the value returned by lane0 in that warp is used * as the "seed" value that logically prefixes the thread block's scan inputs. * Also provides every thread with the block-wide @p block_aggregate of all inputs. * * @par * - The @p block_prefix_callback_op functor must implement a member function * T operator()(T block_aggregate). The functor's input parameter * @p block_aggregate is the same value also returned by the scan operation. * The functor will be invoked by the first warp of threads in the block, * however only the return value from lane0 is applied * as the block-wide prefix. Can be stateful. * - Supports non-commutative scan operators. * - @blocked * - @granularity * - @smemreuse * * @par Snippet * The code snippet below illustrates a single thread block that progressively * computes an inclusive prefix max scan over multiple "tiles" of input using a * prefix functor to maintain a running total between block-wide scans. Each tile consists * of 128 integer items that are partitioned across 128 threads. * @par * @code * #include // or equivalently * * // A stateful callback functor that maintains a running prefix to be applied * // during consecutive scan operations. * struct BlockPrefixCallbackOp * { * // Running prefix * int running_total; * * // Constructor * __device__ BlockPrefixCallbackOp(int running_total) : running_total(running_total) {} * * // Callback operator to be entered by the first warp of threads in the block. * // Thread-0 is responsible for returning a value for seeding the block-wide scan. * __device__ int operator()(int block_aggregate) * { * int old_prefix = running_total; * running_total = (block_aggregate > old_prefix) ? block_aggregate : old_prefix; * return old_prefix; * } * }; * * __global__ void ExampleKernel(int *d_data, int num_items, ...) * { * // Specialize BlockLoad, BlockStore, and BlockScan for a 1D block of 128 threads, 4 ints per thread * typedef cub::BlockLoad BlockLoad; * typedef cub::BlockStore BlockStore; * typedef cub::BlockScan BlockScan; * * // Allocate aliased shared memory for BlockLoad, BlockStore, and BlockScan * __shared__ union { * typename BlockLoad::TempStorage load; * typename BlockScan::TempStorage scan; * typename BlockStore::TempStorage store; * } temp_storage; * * // Initialize running total * BlockPrefixCallbackOp prefix_op(0); * * // Have the block iterate over segments of items * for (int block_offset = 0; block_offset < num_items; block_offset += 128 * 4) * { * // Load a segment of consecutive items that are blocked across threads * int thread_data[4]; * BlockLoad(temp_storage.load).Load(d_data + block_offset, thread_data); * CTA_SYNC(); * * // Collectively compute the block-wide inclusive prefix max scan * BlockScan(temp_storage.scan).InclusiveScan( * thread_data, thread_data, cub::Max(), prefix_op); * CTA_SYNC(); * * // Store scanned items to output segment * BlockStore(temp_storage.store).Store(d_data + block_offset, thread_data); * CTA_SYNC(); * } * @endcode * @par * Suppose the input @p d_data is 0, -1, 2, -3, 4, -5, .... * The corresponding output for the first segment will be * 0, 0, 2, 2, 4, 4, ..., 510, 510. The output for the second * segment will be 512, 512, 514, 514, 516, 516, ..., 1022, 1022. * * @tparam ITEMS_PER_THREAD * [inferred] The number of consecutive items partitioned onto each thread. * * @tparam ScanOp * [inferred] Binary scan functor type having member * T operator()(const T &a, const T &b) * * @tparam BlockPrefixCallbackOp * [inferred] Call-back functor type having member * T operator()(T block_aggregate) * * @param[in] input * Calling thread's input items * * @param[out] output * Calling thread's output items (may be aliased to @p input) * * @param[in] scan_op * Binary scan functor * * @param[in-out] block_prefix_callback_op * [warp0 only] Call-back functor for specifying a * block-wide prefix to be applied to the logical input sequence. */ template __device__ __forceinline__ void InclusiveScan(T (&input)[ITEMS_PER_THREAD], T (&output)[ITEMS_PER_THREAD], ScanOp scan_op, BlockPrefixCallbackOp &block_prefix_callback_op) { if (ITEMS_PER_THREAD == 1) { InclusiveScan(input[0], output[0], scan_op, block_prefix_callback_op); } else { // Reduce consecutive thread items in registers T thread_prefix = internal::ThreadReduce(input, scan_op); // Exclusive thread block-scan ExclusiveScan(thread_prefix, thread_prefix, scan_op, block_prefix_callback_op); // Inclusive scan in registers with prefix as seed internal::ThreadScanInclusive(input, output, scan_op, thread_prefix); } } //@} end member group }; /** * \example example_block_scan.cu */ CUB_NAMESPACE_END