From c62ef437d39c749827a2ae9b36630fe3f531d59e Mon Sep 17 00:00:00 2001 From: Yue Zhang Date: Thu, 14 Sep 2023 16:33:05 -0400 Subject: [PATCH 01/13] part1: CPU scan --- stream_compaction/cpu.cu | 45 ++++++++++++++++++++++++++++++++++++++-- 1 file changed, 43 insertions(+), 2 deletions(-) diff --git a/stream_compaction/cpu.cu b/stream_compaction/cpu.cu index 719fa11..79b2306 100644 --- a/stream_compaction/cpu.cu +++ b/stream_compaction/cpu.cu @@ -19,7 +19,13 @@ namespace StreamCompaction { */ void scan(int n, int *odata, const int *idata) { timer().startCpuTimer(); + // TODO + odata[0] = 0; + for (int i = 0; i < n - 1; ++i) { + odata[i + 1] = odata[i] + idata[i]; + } + timer().endCpuTimer(); } @@ -30,9 +36,17 @@ namespace StreamCompaction { */ int compactWithoutScan(int n, int *odata, const int *idata) { timer().startCpuTimer(); + // TODO + int index = 0; + for (int i = 0; i < n; ++i) { + if (idata[i] != 0) { + odata[index++] = idata[i]; + } + } + timer().endCpuTimer(); - return -1; + return index; } /** @@ -42,9 +56,36 @@ namespace StreamCompaction { */ int compactWithScan(int n, int *odata, const int *idata) { timer().startCpuTimer(); + // TODO + int* scanArr = new int[n]; + int* tempArr = new int[n]; + + // Step 1: Compute temporary array of 0s and 1s + for (int i = 0; i < n; ++i) { + tempArr[i] = (idata[i] != 0) ? 1 : 0; + } + + // Step2: Run exclusive scan on tempArr + scanArr[0] = 0; + for (int i = 0; i < n - 1; ++i) { + scanArr[i + 1] = tempArr[i] + scanArr[i]; + } + + // Step 3: Scatter + for (int i = 0; i < n; ++i) { + if (tempArr[i] == 1) { + odata[scanArr[i]] = idata[i]; + } + } + + int count = scanArr[n - 1]; + + delete[] tempArr; + delete[] scanArr; + timer().endCpuTimer(); - return -1; + return count; } } } From 413f5f6f88f3340b976e834b246109fdaed383f6 Mon Sep 17 00:00:00 2001 From: Yue Zhang Date: Thu, 14 Sep 2023 22:27:19 -0400 Subject: [PATCH 02/13] part2: Naive GPU Scan --- stream_compaction/naive.cu | 44 ++++++++++++++++++++++++++++++++++++++ 1 file changed, 44 insertions(+) diff --git a/stream_compaction/naive.cu b/stream_compaction/naive.cu index 4308876..6f01ebc 100644 --- a/stream_compaction/naive.cu +++ b/stream_compaction/naive.cu @@ -11,15 +11,59 @@ namespace StreamCompaction { static PerformanceTimer timer; return timer; } + // TODO: __global__ + __global__ void kernNaiveScan(int n, int offset, int* x, const int* last) { + int index = threadIdx.x + (blockIdx.x * blockDim.x); + if (index >= n) { + return; + } + + x[index] = last[index]; + if (index >= offset) { + x[index] += last[index - offset]; + } + } + + __global__ void kernShift(int n, int* x, const int* last) { + int index = threadIdx.x + (blockIdx.x * blockDim.x); + if (index >= n) { + return; + } + + x[index] = index == 0 ? 0 : last[index - 1]; + } + /** * Performs prefix-sum (aka scan) on idata, storing the result into odata. */ void scan(int n, int *odata, const int *idata) { + // memory operation + int *x, *last; + cudaMalloc((void**)&x, n * sizeof(int)); + cudaMalloc((void**)&last, n * sizeof(int)); + cudaMemcpy(last, idata, n * sizeof(int), cudaMemcpyHostToDevice); + timer().startGpuTimer(); + + int blockSize = 64; + dim3 fullBlocksPerGrid((n + blockSize - 1) / blockSize); + + int max_d = ilog2ceil(n); // TODO + for (int d = 1; d <= max_d; ++d) { + kernNaiveScan<<>>(n, pow(2, d - 1), x, last); + std::swap(x, last); + } + + kernShift<<>>(n, x, last); + timer().endGpuTimer(); + + cudaMemcpy(odata, x, n * sizeof(int), cudaMemcpyDeviceToHost); + cudaFree(x); + cudaFree(last); } } } From 30b3cc92cd68171153c94702835ff1ce457ad388 Mon Sep 17 00:00:00 2001 From: Yue Zhang Date: Fri, 15 Sep 2023 14:57:48 -0400 Subject: [PATCH 03/13] fix part1 --- stream_compaction/cpu.cu | 25 +++++++++++++------------ 1 file changed, 13 insertions(+), 12 deletions(-) diff --git a/stream_compaction/cpu.cu b/stream_compaction/cpu.cu index 79b2306..4d4e500 100644 --- a/stream_compaction/cpu.cu +++ b/stream_compaction/cpu.cu @@ -12,6 +12,13 @@ namespace StreamCompaction { return timer; } + void scanImpl(int n, int* odata, const int* idata) { + odata[0] = 0; + for (int i = 0; i < n - 1; ++i) { + odata[i + 1] = odata[i] + idata[i]; + } + } + /** * CPU scan (prefix sum). * For performance analysis, this is supposed to be a simple for loop. @@ -21,10 +28,7 @@ namespace StreamCompaction { timer().startCpuTimer(); // TODO - odata[0] = 0; - for (int i = 0; i < n - 1; ++i) { - odata[i + 1] = odata[i] + idata[i]; - } + scanImpl(n, odata, idata); timer().endCpuTimer(); } @@ -55,22 +59,19 @@ namespace StreamCompaction { * @returns the number of elements remaining after compaction. */ int compactWithScan(int n, int *odata, const int *idata) { - timer().startCpuTimer(); - // TODO int* scanArr = new int[n]; int* tempArr = new int[n]; - + + timer().startCpuTimer(); + // Step 1: Compute temporary array of 0s and 1s for (int i = 0; i < n; ++i) { tempArr[i] = (idata[i] != 0) ? 1 : 0; } // Step2: Run exclusive scan on tempArr - scanArr[0] = 0; - for (int i = 0; i < n - 1; ++i) { - scanArr[i + 1] = tempArr[i] + scanArr[i]; - } + scanImpl(n, scanArr, tempArr); // Step 3: Scatter for (int i = 0; i < n; ++i) { @@ -79,7 +80,7 @@ namespace StreamCompaction { } } - int count = scanArr[n - 1]; + int count = scanArr[n - 1] + tempArr[n - 1]; delete[] tempArr; delete[] scanArr; From bcebc22f46edf59e3a12ce5058493b1f48975adc Mon Sep 17 00:00:00 2001 From: Yue Zhang Date: Fri, 15 Sep 2023 15:01:57 -0400 Subject: [PATCH 04/13] part 3: Work-Efficient GPU Scan --- stream_compaction/common.cu | 14 +++++ stream_compaction/efficient.cu | 94 ++++++++++++++++++++++++++++++++-- 2 files changed, 105 insertions(+), 3 deletions(-) diff --git a/stream_compaction/common.cu b/stream_compaction/common.cu index 2ed6d63..275a677 100644 --- a/stream_compaction/common.cu +++ b/stream_compaction/common.cu @@ -24,6 +24,12 @@ namespace StreamCompaction { */ __global__ void kernMapToBoolean(int n, int *bools, const int *idata) { // TODO + int index = threadIdx.x + (blockIdx.x * blockDim.x); + if (index >= n) { + return; + } + + bools[index] = idata[index] == 0 ? 0 : 1; } /** @@ -33,6 +39,14 @@ namespace StreamCompaction { __global__ void kernScatter(int n, int *odata, const int *idata, const int *bools, const int *indices) { // TODO + int index = threadIdx.x + (blockIdx.x * blockDim.x); + if (index >= n) { + return; + } + + if (bools[index] == 1) { + odata[indices[index]] = idata[index]; + } } } diff --git a/stream_compaction/efficient.cu b/stream_compaction/efficient.cu index 2db346e..e7507c4 100644 --- a/stream_compaction/efficient.cu +++ b/stream_compaction/efficient.cu @@ -12,13 +12,69 @@ namespace StreamCompaction { return timer; } + __global__ void kernUpSweep(int n, int offset, int* x) { + int index = threadIdx.x + (blockIdx.x * blockDim.x); + if (index >= n) { + return; + } + + int k = index * offset; + x[k + offset - 1] += x[k + offset / 2 - 1]; + } + + __global__ void kernDownSweep(int n, int offset, int* x) { + int index = threadIdx.x + (blockIdx.x * blockDim.x); + if (index >= n) { + return; + } + + int k = index * offset; + int t = x[k + offset / 2 - 1]; + x[k + offset / 2 - 1] = x[k + offset - 1]; + x[k + offset - 1] += t; + } + /** * Performs prefix-sum (aka scan) on idata, storing the result into odata. */ void scan(int n, int *odata, const int *idata) { + // memory operation + int max_d = ilog2ceil(n); + int next_power_of_two = pow(2, max_d); + + int* x; + cudaMalloc((void**)&x, next_power_of_two * sizeof(int)); + cudaMemcpy(x, idata, n * sizeof(int), cudaMemcpyHostToDevice); + timer().startGpuTimer(); + // TODO + int blockSize = 64; + + // up-sweep + for (int d = 0; d < max_d; ++d) { + int step = pow(2, d + 1); + int threadCount = next_power_of_two / step; + dim3 fullBlocksPerGrid((threadCount + blockSize - 1) / blockSize); + + kernUpSweep<<>>(threadCount, step, x); + } + + // down-sweep + cudaMemset(x + next_power_of_two - 1, 0, sizeof(int)); + for (int d = max_d - 1; d >= 0; --d) { + int step = pow(2, d + 1); + int threadCount = next_power_of_two / step; + dim3 fullBlocksPerGrid((threadCount + blockSize - 1) / blockSize); + + kernDownSweep<<>>(threadCount, step, x); + } + timer().endGpuTimer(); + + cudaMemcpy(odata, x, n * sizeof(int), cudaMemcpyDeviceToHost); + + cudaFree(x); } /** @@ -31,10 +87,42 @@ namespace StreamCompaction { * @returns The number of elements remaining after compaction. */ int compact(int n, int *odata, const int *idata) { - timer().startGpuTimer(); + int* bools, *scanArr, *out, *in; + cudaMalloc((void**)&bools, n * sizeof(int)); + cudaMalloc((void**)&scanArr, n * sizeof(int)); + cudaMalloc((void**)&out, n * sizeof(int)); + cudaMalloc((void**)&in, n * sizeof(int)); + + cudaMemcpy(in, idata, n * sizeof(int), cudaMemcpyHostToDevice); + + //timer().startGpuTimer(); + // TODO - timer().endGpuTimer(); - return -1; + int blockSize = 64; + dim3 fullBlocksPerGrid((n + blockSize - 1) / blockSize); + + // Step 1: Compute temporary array of 0s and 1s + StreamCompaction::Common::kernMapToBoolean<<>>(n, bools, in); + + // Step2: Run exclusive scan on tempArr + scan(n, scanArr, bools); + + // Step 3: Scatter + StreamCompaction::Common::kernScatter<<>>(n, out, in, bools, scanArr); + + //timer().endGpuTimer(); + + int count = 0, lastScan = 0; + cudaMemcpy(&count, scanArr + n - 1, sizeof(int), cudaMemcpyDeviceToHost); + cudaMemcpy(&lastScan, bools + n - 1, sizeof(int), cudaMemcpyDeviceToHost); + cudaMemcpy(odata, out, n * sizeof(int), cudaMemcpyDeviceToHost); + + cudaFree(bools); + cudaFree(scanArr); + cudaFree(out); + cudaFree(in); + + return count + lastScan; } } } From cbfd5e463f488b03ab7167ec8aa4a3b6d56a83ba Mon Sep 17 00:00:00 2001 From: Yue Zhang Date: Fri, 15 Sep 2023 17:16:32 -0400 Subject: [PATCH 05/13] part 4: Thrust --- stream_compaction/thrust.cu | 9 ++++++++- 1 file changed, 8 insertions(+), 1 deletion(-) diff --git a/stream_compaction/thrust.cu b/stream_compaction/thrust.cu index 1def45e..8658a10 100644 --- a/stream_compaction/thrust.cu +++ b/stream_compaction/thrust.cu @@ -18,11 +18,18 @@ namespace StreamCompaction { * Performs prefix-sum (aka scan) on idata, storing the result into odata. */ void scan(int n, int *odata, const int *idata) { - timer().startGpuTimer(); // TODO use `thrust::exclusive_scan` // example: for device_vectors dv_in and dv_out: // thrust::exclusive_scan(dv_in.begin(), dv_in.end(), dv_out.begin()); + + thrust::device_vector dev_in(idata, idata + n); + thrust::device_vector dev_out(n); + + timer().startGpuTimer(); + thrust::exclusive_scan(dev_in.begin(), dev_in.end(), dev_out.begin()); timer().endGpuTimer(); + + thrust::copy(dev_out.begin(), dev_out.end(), odata); } } } From b4a73fb4b66cf928446cd059c8a5e0d272ad4150 Mon Sep 17 00:00:00 2001 From: Yue Zhang Date: Fri, 15 Sep 2023 23:13:27 -0400 Subject: [PATCH 06/13] try optimize efficient scan --- stream_compaction/efficient.cu | 37 ++++++++++++++++++++-------------- 1 file changed, 22 insertions(+), 15 deletions(-) diff --git a/stream_compaction/efficient.cu b/stream_compaction/efficient.cu index e7507c4..06a8451 100644 --- a/stream_compaction/efficient.cu +++ b/stream_compaction/efficient.cu @@ -19,7 +19,7 @@ namespace StreamCompaction { } int k = index * offset; - x[k + offset - 1] += x[k + offset / 2 - 1]; + x[k + offset - 1] += x[k + (offset >> 1) - 1]; } __global__ void kernDownSweep(int n, int offset, int* x) { @@ -28,10 +28,12 @@ namespace StreamCompaction { return; } - int k = index * offset; - int t = x[k + offset / 2 - 1]; - x[k + offset / 2 - 1] = x[k + offset - 1]; - x[k + offset - 1] += t; + int left = (1 + (index << 1)) * offset - 1, + right = left + offset; + + int t = x[left]; + x[left] = x[right]; + x[right] += t; } /** @@ -40,7 +42,7 @@ namespace StreamCompaction { void scan(int n, int *odata, const int *idata) { // memory operation int max_d = ilog2ceil(n); - int next_power_of_two = pow(2, max_d); + int next_power_of_two = 1 << max_d; int* x; cudaMalloc((void**)&x, next_power_of_two * sizeof(int)); @@ -49,25 +51,30 @@ namespace StreamCompaction { timer().startGpuTimer(); // TODO - int blockSize = 64; + int blockSize = 64, step = 1, threadCount = next_power_of_two; // up-sweep for (int d = 0; d < max_d; ++d) { - int step = pow(2, d + 1); - int threadCount = next_power_of_two / step; - dim3 fullBlocksPerGrid((threadCount + blockSize - 1) / blockSize); + step <<= 1; + threadCount >>= 1; - kernUpSweep<<>>(threadCount, step, x); + int curBlockSize = std::min(threadCount, blockSize); + dim3 fullBlocksPerGrid((threadCount + curBlockSize - 1) / curBlockSize); + + kernUpSweep<<>>(threadCount, step, x); } // down-sweep cudaMemset(x + next_power_of_two - 1, 0, sizeof(int)); + for (int d = max_d - 1; d >= 0; --d) { - int step = pow(2, d + 1); - int threadCount = next_power_of_two / step; - dim3 fullBlocksPerGrid((threadCount + blockSize - 1) / blockSize); + step >>= 1; + + int curBlockSize = std::min(threadCount, blockSize); + dim3 fullBlocksPerGrid((threadCount + curBlockSize - 1) / curBlockSize); - kernDownSweep<<>>(threadCount, step, x); + kernDownSweep<<>>(threadCount, step, x); + threadCount <<= 1; } timer().endGpuTimer(); From 0ff1fbf7d6837497b0acab8c67da6b3c5a42845c Mon Sep 17 00:00:00 2001 From: Yue Zhang Date: Sat, 16 Sep 2023 16:51:19 -0400 Subject: [PATCH 07/13] efficient scan with shared memory ref: https://developer.nvidia.com/gpugems/gpugems3/part-vi-gpu-computing/chapter-39-parallel-prefix-sum-scan-cuda --- stream_compaction/efficient.cu | 82 ++++++++++++++++++++++++++++++++++ stream_compaction/efficient.h | 2 + 2 files changed, 84 insertions(+) diff --git a/stream_compaction/efficient.cu b/stream_compaction/efficient.cu index 06a8451..bf37491 100644 --- a/stream_compaction/efficient.cu +++ b/stream_compaction/efficient.cu @@ -3,6 +3,10 @@ #include "common.h" #include "efficient.h" +#define NUM_BANKS 16 +#define LOG_NUM_BANKS 4 +#define CONFLICT_FREE_OFFSET(n) ((n) >> NUM_BANKS + (n) >> (2 * LOG_NUM_BANKS)) + namespace StreamCompaction { namespace Efficient { using StreamCompaction::Common::PerformanceTimer; @@ -36,6 +40,84 @@ namespace StreamCompaction { x[right] += t; } + __global__ void kernPreScan(int n, int* odata, const int* idata) { + extern __shared__ int temp[]; + + int index = threadIdx.x + (blockIdx.x * blockDim.x); + if (index >= n) { + return; + } + + int offset = 1, ai = index, bi = index + n << 1, + bankOffsetA = CONFLICT_FREE_OFFSET(ai), bankOffsetB = CONFLICT_FREE_OFFSET(bi); + + temp[ai + bankOffsetA] = idata[ai]; + temp[bi + bankOffsetB] = idata[bi]; + + // up sweep + for (int d = n >> 1; d > 0; d >>= 1) { + __syncthreads(); + + if (index < d) { + int ai = ((index << 1) + 1) * offset - 1; + int bi = ai + offset; + + ai += CONFLICT_FREE_OFFSET(ai); + bi += CONFLICT_FREE_OFFSET(bi); + + temp[bi] += temp[ai]; + } + + offset <<= 1; + } + + // clear the last element before down sweep + if (index == 0) { + temp[n - 1 + CONFLICT_FREE_OFFSET(n - 1)] = 0; + } + + // down sweep + for (int d = 1; d < n; d <<= 1) { + offset >>= 1; + + __syncthreads(); + if (index < d) { + int ai = ((index << 1) + 1) * offset - 1; + int bi = ai + offset; + + ai += CONFLICT_FREE_OFFSET(ai); + bi += CONFLICT_FREE_OFFSET(bi); + + int t = temp[ai]; + temp[ai] = temp[bi]; + temp[bi] += t; + } + } + + __syncthreads(); + + odata[ai] = temp[ai + bankOffsetA]; + odata[bi] = temp[bi + bankOffsetB]; + } + + void scanShared(int n, int* odata, const int* idata) { + int max_d = ilog2ceil(n); + int next_power_of_two = 1 << max_d; + + int* in, int* out; + cudaMalloc((void**)&in, next_power_of_two * sizeof(int)); + cudaMalloc((void**)&out, n * sizeof(int)); + cudaMemcpy(in, idata, n * sizeof(int), cudaMemcpyHostToDevice); + + timer().startGpuTimer(); + kernPreScan<<<1, next_power_of_two << 1, next_power_of_two * sizeof(int) >> >(next_power_of_two, out, in); + timer().endGpuTimer(); + + cudaMemcpy(odata, out, n * sizeof(int), cudaMemcpyDeviceToHost); + cudaFree(in); + cudaFree(out); + } + /** * Performs prefix-sum (aka scan) on idata, storing the result into odata. */ diff --git a/stream_compaction/efficient.h b/stream_compaction/efficient.h index 803cb4f..be2bdf5 100644 --- a/stream_compaction/efficient.h +++ b/stream_compaction/efficient.h @@ -6,6 +6,8 @@ namespace StreamCompaction { namespace Efficient { StreamCompaction::Common::PerformanceTimer& timer(); + void scanShared(int n, int *odata, const int *idata); + void scan(int n, int *odata, const int *idata); int compact(int n, int *odata, const int *idata); From 44a0e698ec5eed0c9ee4115ae91b4b85df704de4 Mon Sep 17 00:00:00 2001 From: Yue Zhang Date: Sat, 16 Sep 2023 23:54:37 -0400 Subject: [PATCH 08/13] efficient scan with arbitrary size --- stream_compaction/efficient.cu | 114 +++++++++++++++++++++++---------- 1 file changed, 80 insertions(+), 34 deletions(-) diff --git a/stream_compaction/efficient.cu b/stream_compaction/efficient.cu index bf37491..f3eda79 100644 --- a/stream_compaction/efficient.cu +++ b/stream_compaction/efficient.cu @@ -7,6 +7,14 @@ #define LOG_NUM_BANKS 4 #define CONFLICT_FREE_OFFSET(n) ((n) >> NUM_BANKS + (n) >> (2 * LOG_NUM_BANKS)) +#define ELEMENTS_PER_BLOCK 128 +#define TWICE_ELEMENTS_PER_BLOCK 256 + +#define checkCUDAErrorWithLine(msg) checkCUDAError(msg, __LINE__) + +// sum aux arrays +int** sumArr; + namespace StreamCompaction { namespace Efficient { using StreamCompaction::Common::PerformanceTimer; @@ -40,66 +48,88 @@ namespace StreamCompaction { x[right] += t; } - __global__ void kernPreScan(int n, int* odata, const int* idata) { + __global__ void kernPreScan(int n, int* sums, int* odata, int* idata) { extern __shared__ int temp[]; - int index = threadIdx.x + (blockIdx.x * blockDim.x); - if (index >= n) { - return; - } + int curBlockSize = n < TWICE_ELEMENTS_PER_BLOCK ? n : TWICE_ELEMENTS_PER_BLOCK; + + int tid = threadIdx.x, + index = tid + blockIdx.x * TWICE_ELEMENTS_PER_BLOCK; - int offset = 1, ai = index, bi = index + n << 1, + int offset = 1, ai = tid, bi = tid + ELEMENTS_PER_BLOCK, bankOffsetA = CONFLICT_FREE_OFFSET(ai), bankOffsetB = CONFLICT_FREE_OFFSET(bi); - temp[ai + bankOffsetA] = idata[ai]; - temp[bi + bankOffsetB] = idata[bi]; + temp[ai + bankOffsetA] = index < n ? idata[index] : 0; + temp[bi + bankOffsetB] = (index < n - ELEMENTS_PER_BLOCK) ? idata[index + ELEMENTS_PER_BLOCK] : 0; // up sweep - for (int d = n >> 1; d > 0; d >>= 1) { - __syncthreads(); - - if (index < d) { - int ai = ((index << 1) + 1) * offset - 1; + for (int d = curBlockSize >> 1; d > 0; d >>= 1) { + __syncthreads(); + + if (tid < d) { + int ai = ((tid << 1) + 1) * offset - 1; int bi = ai + offset; ai += CONFLICT_FREE_OFFSET(ai); bi += CONFLICT_FREE_OFFSET(bi); temp[bi] += temp[ai]; - } - - offset <<= 1; - } - - // clear the last element before down sweep - if (index == 0) { - temp[n - 1 + CONFLICT_FREE_OFFSET(n - 1)] = 0; - } - + } + + offset <<= 1; + } + + if (tid == 0) { + sums[blockIdx.x] = temp[curBlockSize - 1 + CONFLICT_FREE_OFFSET(curBlockSize - 1)]; + temp[curBlockSize - 1 + CONFLICT_FREE_OFFSET(curBlockSize - 1)] = 0; + } + // down sweep - for (int d = 1; d < n; d <<= 1) { + for (int d = 1; d < curBlockSize; d <<= 1) { offset >>= 1; - __syncthreads(); - if (index < d) { - int ai = ((index << 1) + 1) * offset - 1; + + if (tid < d) { + int ai = ((tid << 1) + 1) * offset - 1; int bi = ai + offset; ai += CONFLICT_FREE_OFFSET(ai); bi += CONFLICT_FREE_OFFSET(bi); - + int t = temp[ai]; temp[ai] = temp[bi]; temp[bi] += t; } } - - __syncthreads(); - - odata[ai] = temp[ai + bankOffsetA]; - odata[bi] = temp[bi + bankOffsetB]; + + __syncthreads(); + + odata[index] = index < n ? temp[ai + bankOffsetA] : 0; + odata[index + ELEMENTS_PER_BLOCK] = (index < n - ELEMENTS_PER_BLOCK) ? temp[bi + bankOffsetB] : 0; } + __global__ void kernAdd(int n, int* odata, const int* idata) { + int index = blockIdx.x * TWICE_ELEMENTS_PER_BLOCK + threadIdx.x; + if (index >= n) { + return; + } + + odata[index] += idata[blockIdx.x]; + if (index < n - ELEMENTS_PER_BLOCK) { + odata[index + ELEMENTS_PER_BLOCK] += idata[blockIdx.x]; + } + } + + void preScanHelper(int n, int depth, int* odata, int* idata) { + int blockCnt = (int)ceil((float)n / (float)TWICE_ELEMENTS_PER_BLOCK); + + kernPreScan << > > (n, sumArr[depth], odata, idata); + if (blockCnt > 1) { + preScanHelper(blockCnt, depth + 1, sumArr[depth], sumArr[depth]); + kernAdd << > > (n, odata, sumArr[depth]); + } + } + void scanShared(int n, int* odata, const int* idata) { int max_d = ilog2ceil(n); int next_power_of_two = 1 << max_d; @@ -109,13 +139,29 @@ namespace StreamCompaction { cudaMalloc((void**)&out, n * sizeof(int)); cudaMemcpy(in, idata, n * sizeof(int), cudaMemcpyHostToDevice); + sumArr = (int**)malloc(sizeof(int*) * max_d); + + int blockCnt = (int)ceil((float)next_power_of_two / (float)TWICE_ELEMENTS_PER_BLOCK); + for (int i = 0; i < max_d; ++i) { + cudaMalloc((void**)&(sumArr[i]), blockCnt * sizeof(int)); + blockCnt = (int)ceil((float)blockCnt / (float)TWICE_ELEMENTS_PER_BLOCK); + } + timer().startGpuTimer(); - kernPreScan<<<1, next_power_of_two << 1, next_power_of_two * sizeof(int) >> >(next_power_of_two, out, in); + + preScanHelper(next_power_of_two, 0, out, in); + timer().endGpuTimer(); cudaMemcpy(odata, out, n * sizeof(int), cudaMemcpyDeviceToHost); cudaFree(in); cudaFree(out); + + for (int i = 0; i < max_d; ++i) { + cudaFree(sumArr[i]); + } + + free(sumArr); } /** From 6d30687e16868a049a314d3bfddf2d0e0c21fc0e Mon Sep 17 00:00:00 2001 From: Yue Zhang Date: Sun, 17 Sep 2023 15:20:47 -0400 Subject: [PATCH 09/13] radix sort --- stream_compaction/CMakeLists.txt | 2 ++ stream_compaction/radixsort.cu | 18 ++++++++++++++++++ stream_compaction/radixsort.h | 11 +++++++++++ 3 files changed, 31 insertions(+) create mode 100644 stream_compaction/radixsort.cu create mode 100644 stream_compaction/radixsort.h diff --git a/stream_compaction/CMakeLists.txt b/stream_compaction/CMakeLists.txt index 567795b..d35f904 100644 --- a/stream_compaction/CMakeLists.txt +++ b/stream_compaction/CMakeLists.txt @@ -4,6 +4,7 @@ set(headers "naive.h" "efficient.h" "thrust.h" + "radixsort.h" ) set(sources @@ -12,6 +13,7 @@ set(sources "naive.cu" "efficient.cu" "thrust.cu" + "radixsort.cu" ) list(SORT headers) diff --git a/stream_compaction/radixsort.cu b/stream_compaction/radixsort.cu new file mode 100644 index 0000000..61fc01d --- /dev/null +++ b/stream_compaction/radixsort.cu @@ -0,0 +1,18 @@ +#include +#include +#include "common.h" +#include "radixsort.h" + +namespace StreamCompaction { + namespace RadixSort { + using StreamCompaction::Common::PerformanceTimer; + PerformanceTimer& timer() + { + static PerformanceTimer timer; + return timer; + } + + void sort(int n, int* odata, const int* idata) { + } + } +} diff --git a/stream_compaction/radixsort.h b/stream_compaction/radixsort.h new file mode 100644 index 0000000..8344b17 --- /dev/null +++ b/stream_compaction/radixsort.h @@ -0,0 +1,11 @@ +#pragma once + +#include "common.h" + +namespace StreamCompaction { + namespace RadixSort { + StreamCompaction::Common::PerformanceTimer& timer(); + + void sort(int n, int* odata, const int* idata); + } +} From 92de7c7a9c8b2804282d1c19876ca796b2432682 Mon Sep 17 00:00:00 2001 From: Yue Zhang Date: Sun, 17 Sep 2023 19:48:10 -0400 Subject: [PATCH 10/13] modify efficient algorithm blocksize --- stream_compaction/efficient.cu | 37 ++++++++++++++++++++++++---------- stream_compaction/naive.cu | 16 ++++++++++----- 2 files changed, 37 insertions(+), 16 deletions(-) diff --git a/stream_compaction/efficient.cu b/stream_compaction/efficient.cu index f3eda79..506942c 100644 --- a/stream_compaction/efficient.cu +++ b/stream_compaction/efficient.cu @@ -176,20 +176,29 @@ namespace StreamCompaction { cudaMalloc((void**)&x, next_power_of_two * sizeof(int)); cudaMemcpy(x, idata, n * sizeof(int), cudaMemcpyHostToDevice); + // optimize block size + // block size should be multiple of warp size and less than max threads per block + // grid size should be multiple of number of SMs + cudaDeviceProp prop; + cudaGetDeviceProperties(&prop, 0); + + int minBlockSize = prop.warpSize, maxBlockSize = prop.maxThreadsPerBlock, sms = prop.multiProcessorCount; + timer().startGpuTimer(); // TODO - int blockSize = 64, step = 1, threadCount = next_power_of_two; + int step = 1, threadCount = next_power_of_two; // up-sweep for (int d = 0; d < max_d; ++d) { step <<= 1; threadCount >>= 1; - int curBlockSize = std::min(threadCount, blockSize); - dim3 fullBlocksPerGrid((threadCount + curBlockSize - 1) / curBlockSize); + int curBlockSize = std::max(minBlockSize, std::min(threadCount, maxBlockSize)); + int curGridSize = (threadCount + curBlockSize - 1) / curBlockSize; + curGridSize = std::ceil(curGridSize / (float)sms) * sms; - kernUpSweep<<>>(threadCount, step, x); + kernUpSweep<<>>(threadCount, step, x); } // down-sweep @@ -198,10 +207,12 @@ namespace StreamCompaction { for (int d = max_d - 1; d >= 0; --d) { step >>= 1; - int curBlockSize = std::min(threadCount, blockSize); - dim3 fullBlocksPerGrid((threadCount + curBlockSize - 1) / curBlockSize); + int smMultiple = 1 << ((int)std::ceil(threadCount / (float)sms)); + int curBlockSize = std::max(minBlockSize, std::min(threadCount, std::min(smMultiple, maxBlockSize))); + int curGridSize = (threadCount + curBlockSize - 1) / curBlockSize; + curGridSize = std::ceil(curGridSize / (float)sms) * sms; - kernDownSweep<<>>(threadCount, step, x); + kernDownSweep<<>>(threadCount, step, x); threadCount <<= 1; } @@ -233,17 +244,21 @@ namespace StreamCompaction { //timer().startGpuTimer(); // TODO - int blockSize = 64; - dim3 fullBlocksPerGrid((n + blockSize - 1) / blockSize); + cudaDeviceProp prop; + cudaGetDeviceProperties(&prop, 0); + + int minBlockSize = prop.warpSize, maxBlockSize = prop.maxThreadsPerBlock, sms = prop.multiProcessorCount; + int curBlockSize = std::max(minBlockSize, std::min(n, maxBlockSize)); + int gridSize = (n + curBlockSize - 1) / curBlockSize; // Step 1: Compute temporary array of 0s and 1s - StreamCompaction::Common::kernMapToBoolean<<>>(n, bools, in); + StreamCompaction::Common::kernMapToBoolean<<>>(n, bools, in); // Step2: Run exclusive scan on tempArr scan(n, scanArr, bools); // Step 3: Scatter - StreamCompaction::Common::kernScatter<<>>(n, out, in, bools, scanArr); + StreamCompaction::Common::kernScatter<<>>(n, out, in, bools, scanArr); //timer().endGpuTimer(); diff --git a/stream_compaction/naive.cu b/stream_compaction/naive.cu index 6f01ebc..a726ee8 100644 --- a/stream_compaction/naive.cu +++ b/stream_compaction/naive.cu @@ -3,6 +3,8 @@ #include "common.h" #include "naive.h" +#include + namespace StreamCompaction { namespace Naive { using StreamCompaction::Common::PerformanceTimer; @@ -45,19 +47,23 @@ namespace StreamCompaction { cudaMalloc((void**)&last, n * sizeof(int)); cudaMemcpy(last, idata, n * sizeof(int), cudaMemcpyHostToDevice); - timer().startGpuTimer(); + cudaDeviceProp prop; + cudaGetDeviceProperties(&prop, 0); - int blockSize = 64; - dim3 fullBlocksPerGrid((n + blockSize - 1) / blockSize); + int minBlockSize = prop.warpSize, maxBlockSize = prop.maxThreadsPerBlock, sms = prop.multiProcessorCount; + int curBlockSize = std::max(minBlockSize, std::min(n, maxBlockSize)); + int gridSize = (int)ceil((float)(n + curBlockSize - 1) / curBlockSize); + + timer().startGpuTimer(); int max_d = ilog2ceil(n); // TODO for (int d = 1; d <= max_d; ++d) { - kernNaiveScan<<>>(n, pow(2, d - 1), x, last); + kernNaiveScan<<>>(n, pow(2, d - 1), x, last); std::swap(x, last); } - kernShift<<>>(n, x, last); + kernShift<<>>(n, x, last); timer().endGpuTimer(); From 36d0bd4ad11657d9e208fef92bb5abbf65a62b3a Mon Sep 17 00:00:00 2001 From: Yue Zhang Date: Mon, 18 Sep 2023 01:25:07 -0400 Subject: [PATCH 11/13] readme --- README.md | 172 +++++++++++++++++++++++++++- res/nsight.png | Bin 0 -> 33496 bytes res/nsight_naive_workefficient.png | Bin 0 -> 24351 bytes res/nsight_thrust.png | Bin 0 -> 67990 bytes res/nsight_workefficient_shared.png | Bin 0 -> 17209 bytes res/res_2^28.png | Bin 0 -> 48939 bytes res/res_2^28_compact.png | Bin 0 -> 26493 bytes res/res_2^8.png | Bin 0 -> 47093 bytes res/res_2^8_compact.png | Bin 0 -> 25972 bytes res/time_arraysize.png | Bin 0 -> 110565 bytes res/time_arraysize_log10.png | Bin 0 -> 146316 bytes src/main.cpp | 16 ++- 12 files changed, 181 insertions(+), 7 deletions(-) create mode 100644 res/nsight.png create mode 100644 res/nsight_naive_workefficient.png create mode 100644 res/nsight_thrust.png create mode 100644 res/nsight_workefficient_shared.png create mode 100644 res/res_2^28.png create mode 100644 res/res_2^28_compact.png create mode 100644 res/res_2^8.png create mode 100644 res/res_2^8_compact.png create mode 100644 res/time_arraysize.png create mode 100644 res/time_arraysize_log10.png diff --git a/README.md b/README.md index 0e38ddb..47dd826 100644 --- a/README.md +++ b/README.md @@ -3,12 +3,172 @@ CUDA Stream Compaction **University of Pennsylvania, CIS 565: GPU Programming and Architecture, Project 2** -* (TODO) YOUR NAME HERE - * (TODO) [LinkedIn](), [personal website](), [twitter](), etc. -* Tested on: (TODO) Windows 22, i7-2222 @ 2.22GHz 22GB, GTX 222 222MB (Moore 2222 Lab) +* Yue Zhang + * [LinkedIn](https://www.linkedin.com/in/yuezhang027/), [personal website](https://yuezhanggame.com/). +* Tested on: Windows 11, i9-13900H @ 2.60GHz 32GB, NVIDIA GeForce RTX 4070 Laptop 8GB (Personal Laptop) +* Compute capability: 8.9 -### (TODO: Your README) +## Description +This project explores various stream compaction and exclusive scan algorithms capable of handling arbitrary-length input arrays. The algorithms are derived from the [slides on Parallel Algorithms](https://docs.google.com/presentation/d/1ETVONA7QDM-WqsEj4qVOGD6Kura5I6E9yqH-7krnwZ0/edit#slide=id.p126) and GPU Gems 3, Chapter 39 - [Parallel Prefix Sum (Scan) with CUDA](https://developer.nvidia.com/gpugems/GPUGems3/gpugems3_ch39.html). In addition to basic implementation, the project tries to enhance performance through optimization techniques and includes a detailed analysis of the time metrics involved. -Include analysis, etc. (Remember, this is public, so don't put -anything here that you don't want to share with the world.) +Here is the list of features this project implemented: +1. Exclusive scan and stream compaction implementation performed on CPU. +2. Naive exclusive scan algorithm implementation performed on GPU. +3. Work-Efficient exclusive scan and stream compaction implementation performed on GPU. +4. [Extra Credit] Try to optimize work-efficient exclusive scan by modifying blockSize, gridSize and internal visit. +5. Thrust exclusive scan wrapper performed on GPU. +6. [Extra Credit] Optmized work-efficient exclusive scan using shared memory implementation. + + +## Results +Here are screenshots for performance of all algorithm with array size n = 1<<8 and 1<<28 for the base case and stress test case. The results include extra test for work-efficient scan with shared memory: + +
Screenshot 1: Test result with array size = 1 << 8
+ +![](res/res_2^8.png) + +![](res/res_2^8_compact.png) + +
Screenshot 2: Test result with array size = 1 << 28
+ +![](res/res_2^28.png) + +![](res/res_2^28_compact.png) + +There is also a NSight Analysis for the time and memory operation for each method with two tests since it directly call scan() function. + +![](res/nsight.png) + +Note for work-efficient compact, there is still some malloc and free calculated in the result time. + +## Analysis with questions + +* Roughly optimize the block sizes of each of your implementations for minimal + run time on your GPU. + + I optmize the block size according to the CUDA device property to maximize the utilization of each warp and align the blocks to be distributed uniformly along all SMs. Especially in work-efficient algorithm, the `threadCount` for each level of tree is different, which require a dynamic block size assignment. Here, I rely on three properties in implementation of naive and work-efficient GPU exclusive scan to determine `blockSize` and `gridSize`: + * `warpSize`: Block size is set to be a multiple of warp size to ensure maximum utilization of each warp and avoid warp divergence. + * `maxThreadsPerBlock`: Block size should not exceed this limit. + * `multiProcessorCount`: After aligning the native gridSize by finding `threadCount` / `blockSize`, this value should be ideally a multiple of the number of SMs to ensure a balanced workload distribution across all SMs. + + Here is a typical grid and block size setting code: + ``` + cudaDeviceProp prop; + cudaGetDeviceProperties(&prop, 0); + int minBlockSize = prop.warpSize, + maxBlockSize = prop.maxThreadsPerBlock, sms = prop.multiProcessorCount; + + int curBlockSize = std::max(minBlockSize, std::min(64/*start block size*/, + maxBlockSize)); + int curGridSize = (threadCount + curBlockSize - 1) / curBlockSize; + curGridSize = std::ceil(curGridSize / (float)sms) * sms; + + kernfunc<<>>(threadCount, ...); + ``` + + Besides, in work-efficient algorithm implementation using shared memory, I take `sharedMemPerBlock` into account too when deciding the block division along a large array. The algorithm will start a grid with dimension <<>> and assign B * sizeof(int) byte shared memory to each block. B should be a value less than `sharedMemPerBlock` / sizeof(int). + +* Compare all of these GPU Scan implementations (Naive, Work-Efficient, and + Thrust) to the serial CPU version of Scan. Plot a graph of the comparison + (with array size on the independent axis). + + Here is a graph of scan time for different method's implementation under an array size from 1 << 16 to 1 << 28. This chart only runs the power-of-two tests. + + ![](res/time_arraysize.png) + + This chart reflects a tendency and rough comparison between each methods' behavior. At 1 << 28 array size case, we may see naive GPU scan performs a little bit better than the CPU scan, while the first GPU work-efficient scan is much better than them. The optimized GPU work-efficient scan is almost performing as good as the thrust scan due to the utilization of shared memory and avoiding bank conflict. + + The next graph use log10 scale for time to see the comparison of method performance for each level of array size more clearly. + + ![](res/time_arraysize_log10.png) + + The algorithm's performance are relatively unstable along different array size. The baseline, CPU scan performs a linear increment in log10 scale, that means it follows an exponential growth as array size increases. In contradiction, the GPU scans using global memory (GPU native scan, GPU efficient scan) suffered from the inefficient memory visit at first. When array size increases, they begins to perform better from parallel feature. As array size increases, the efficient scan overvalues native scan, since it performs O(n) operation other than O(nlogn) in native scan. + +* To guess at what might be happening inside the Thrust implementation (e.g. + allocation, memory copy), take a look at the Nsight timeline for its + execution. Your analysis here doesn't have to be detailed, since you aren't + even looking at the code for the implementation. + + Here is the Nsight timeline screenshot of Thrust scan: + ![](res/nsight_thrust.png) + + It may operates similarly to the shared memory version of work efficient scan. + 1. `__uninitialized_fill`: First, it tries to fill the shared memory with for loops. + 2. `ScanTileState`: Then, it scan states (refers to the recursive call on sum array in shared memory version of algorithm) to store the intermediate state in the scan operation (just like what I do with int **sumArr). + 3. `DeviceScanPolicy`: Finally, for each state, it performs the prefix scan as we do in the block. + +* Write a brief explanation of the phenomena you see here. + + For native scan and work-efficient scan, the global memory access may really be a bottleneck of their performance. Work-efficient scan visits memory in a better efficiency than the normal one, since one thread handles two elements at the same time, and they don't conflict with each other. Also, when gridId increases, the thread executes with a longer time. This may caused by unbalanced workload along SMs. + + ![](res/nsight_naive_workefficient.png) + + The optimized method of work-efficient scan changes memory to shared memory, avoids bank conflict by setting offset (2 * n shared memory needed) and allows the array to be divided into several length and compute with different blocks. The main bottleneck for this method may be still about auto-balancing between threads and compaction of active threads or optimizing the sumArr visit. This has a performance increase about 20% in measured scan time. + + ![](res/nsight_workefficient_shared.png) + +* Paste the output of the test program into a triple-backtick block in your + README. + + Another run with array size = 1 << 28. There is extra test for work-efficient scan with shared memory. + ``` + **************** + ** SCAN TESTS ** + **************** + [ 27 35 35 40 20 6 13 34 36 15 47 4 41 ... 25 0 ] + ==== cpu scan, power-of-two ==== + elapsed time: 400.187ms (std::chrono Measured) + [ 0 27 62 97 137 157 163 176 210 246 261 308 312 ... -2015767044 -2015767019 ] + ==== cpu scan, non-power-of-two ==== + elapsed time: 406.071ms (std::chrono Measured) + [ 0 27 62 97 137 157 163 176 210 246 261 308 312 ... -2015767115 -2015767102 ] + passed + ==== naive scan, power-of-two ==== + elapsed time: 351.297ms (CUDA Measured) + passed + ==== naive scan, non-power-of-two ==== + elapsed time: 354.929ms (CUDA Measured) + passed + ==== work-efficient scan, power-of-two ==== + elapsed time: 114.791ms (CUDA Measured) + passed + ==== work-efficient scan, non-power-of-two ==== + elapsed time: 115.623ms (CUDA Measured) + passed + ==== thrust scan, power-of-two ==== + elapsed time: 13.0284ms (CUDA Measured) + passed + ==== thrust scan, non-power-of-two ==== + elapsed time: 13.8476ms (CUDA Measured) + passed + ==== work-efficient scan with shared memory, power-of-two ==== + elapsed time: 24.5953ms (CUDA Measured) + passed + ==== work-efficient scan with shared memory, non-power-of-two ==== + elapsed time: 20.9521ms (CUDA Measured) + passed + + ***************************** + ** STREAM COMPACTION TESTS ** + ***************************** + [ 2 3 2 2 1 0 3 2 2 1 0 2 3 ... 0 0 ] + ==== cpu compact without scan, power-of-two ==== + elapsed time: 556.411ms (std::chrono Measured) + [ 2 3 2 2 1 3 2 2 1 2 3 3 3 ... 3 3 ] + passed + ==== cpu compact without scan, non-power-of-two ==== + elapsed time: 556.69ms (std::chrono Measured) + [ 2 3 2 2 1 3 2 2 1 2 3 3 3 ... 2 3 ] + passed + ==== cpu compact with scan ==== + elapsed time: 1373.64ms (std::chrono Measured) + [ 2 3 2 2 1 3 2 2 1 2 3 3 3 ... 3 3 ] + passed + ==== work-efficient compact, power-of-two ==== + elapsed time: 141.99ms (CUDA Measured) + passed + ==== work-efficient compact, non-power-of-two ==== + elapsed time: 117.638ms (CUDA Measured) + passed + ``` diff --git a/res/nsight.png b/res/nsight.png new file mode 100644 index 0000000000000000000000000000000000000000..024dc01575be657a5566f749067c320c38f8ff69 GIT binary patch literal 33496 zcmce7c|4Tw`|sG5J&9~1kwT=BErwE-5@p}jB(e=@>@&6^$wRr^lGP;>f!&h30RVu2 znW^y=0Dzkv0ARb!%gwq|8&G?n^@lC^ipd#3d5`o@)<2wHMixc@KxG==_Ej#{|GNTB z9fJV?!S9-}wZ?PrYY9m{%C69;P0+ z)$!xe+wh=FO>7V{BM5s||U}oY&A(Ma-?&6zlFdZt$8v|4re{c38JeBWhR%F)D-JicJq? zjJq|j5zgzJ;Se>ApdE=*d9&PiXwb@U)O}cE`xH7CeWM(ZoWI(e|Cm3I*+gdz%j~eI9qvJbNAh;Zk zd~HzQm~9TQNvphRoj0F!56^ifUl|qMPYB%`THPZs8Jbs9jBlROjT?TG4BC1OIwE}L zT|b1r)YYQ3qOR=5c#rZNmfBf3gGSWq>O0V=4B5MUxcn6z@>nWCue=%N)>5K3-u)39 zSA|WsNBUbjz8A_5?vGiYv7EG$GtC?t+jEPx~!}B_&6tBk{1J1nr#sRw0qQQK~^M$~39~cA~ba&fc zg6xNy>`RJqse+tdGW3FS9Pq3|t@*o+F3-I#DZM%4L$N()Zy#W{=#R40;+_DGf0aA= zR1gFzW@6w{TWa$>XNtd2+KpqD*Nx=?IWG=2HTRPA(mU2Pp=IqY%}))hip 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