From b512163d4f7ef4845e1420a158e87c84024990ca Mon Sep 17 00:00:00 2001 From: Singh Date: Tue, 17 Sep 2024 14:00:35 -0400 Subject: [PATCH 01/12] CPU, Naive and Work-efficient scan implementations --- stream_compaction/cpu.cu | 38 +++++++++++++++++++++---- stream_compaction/efficient.cu | 52 +++++++++++++++++++++++++++++++++- stream_compaction/naive.cu | 51 +++++++++++++++++++++++++++++++-- 3 files changed, 132 insertions(+), 9 deletions(-) diff --git a/stream_compaction/cpu.cu b/stream_compaction/cpu.cu index 719fa11..36ae628 100644 --- a/stream_compaction/cpu.cu +++ b/stream_compaction/cpu.cu @@ -19,7 +19,9 @@ namespace StreamCompaction { */ void scan(int n, int *odata, const int *idata) { timer().startCpuTimer(); - // TODO + for (int i = 1; i < n; i++) { + odata[i] = odata[i - 1] + idata[i - 1]; + } timer().endCpuTimer(); } @@ -30,9 +32,15 @@ namespace StreamCompaction { */ int compactWithoutScan(int n, int *odata, const int *idata) { timer().startCpuTimer(); - // TODO + int j = 0; + for (int i = 0; i < n; i++) { + if (idata[i]) { + odata[j] = idata[i]; + j++; + } + } timer().endCpuTimer(); - return -1; + return (j) ? j : -1; } /** @@ -42,9 +50,29 @@ namespace StreamCompaction { */ int compactWithScan(int n, int *odata, const int *idata) { timer().startCpuTimer(); - // TODO + // map the input array to an array of 0s and 1s + int* temp = new int[n]; + for (int i = 0; i < n; i++) { + temp[i] = idata[i] == 0 ? 0 : 1; + } + + int* scanOutput = new int[n]; + scanOutput[0] = 0; + + // scan the temp array + for (int i = 1; i < n; i++) { + scanOutput[i] = scanOutput[i - 1] + temp[i - 1]; + } + + int compactLen = scanOutput[n - 1]; + + for (int i = 0; i < n; i++) { + if (temp[i]) { + odata[scanOutput[i]] = idata[i]; + } + } timer().endCpuTimer(); - return -1; + return (compactLen) ? compactLen : -1; } } } diff --git a/stream_compaction/efficient.cu b/stream_compaction/efficient.cu index 2db346e..7a3a605 100644 --- a/stream_compaction/efficient.cu +++ b/stream_compaction/efficient.cu @@ -12,12 +12,62 @@ namespace StreamCompaction { return timer; } + __global__ void kernUpSweep(int n, int* A, int offset) { + int idx = blockDim.x * blockIdx.x + threadIdx.x; + idx *= offset; + if (idx >= n) { + return; + } + A[idx + offset - 1] = A[idx + offset / 2 - 1] + A[idx + offset / 2]; + } + + __global__ void kernDownSweep(int n, int* A, int offset) { + int idx = blockDim.x * blockIdx.x + threadIdx.x; + if (idx >= n) { + return; + } + idx *= offset; + + int temp = A[idx + offset / 2 - 1]; + A[idx + offset / 2 - 1] = A[idx + offset - 1]; + A[idx + offset - 1] += temp; + } + /** * Performs prefix-sum (aka scan) on idata, storing the result into odata. */ void scan(int n, int *odata, const int *idata) { timer().startGpuTimer(); - // TODO + unsigned int blockSize = 128; + + int* A; + size_t arraySize = n * sizeof(int); + cudaMalloc((void**)&A, arraySize); + checkCUDAError("cudaMalloc A failed!"); + + cudaMemcpy(A, idata, arraySize, cudaMemcpyHostToDevice); + checkCUDAError("cudaMemcpy idata to A failed!"); + + for (int i = 0; i < ilog2ceil(n); i++) { + int offset = pow(2, (i + 1)); + blockSize /= offset; + dim3 fullBlocksPerGrid = ((n + blockSize - 1) / blockSize); + kernUpSweep << > > (n, A, offset); + } + + A[n - 1] = 0; + for (int i = ilog2ceil(n) - 1; i >= 0; i++) { + int offset = pow(2, i + 1); + blockSize /= offset; + dim3 fullBlocksPerGrid = ((n + blockSize - 1) / blockSize); + kernDownSweep << > > (n, A, offset); + } + + cudaMemcpy(odata, A, arraySize, cudaMemcpyDeviceToHost); + checkCUDAError("cudaMemcpy odata failed!"); + + cudaFree(A); + timer().endGpuTimer(); } diff --git a/stream_compaction/naive.cu b/stream_compaction/naive.cu index 4308876..ccf0e95 100644 --- a/stream_compaction/naive.cu +++ b/stream_compaction/naive.cu @@ -1,6 +1,6 @@ #include #include -#include "common.h" +#include "common.h" #include "naive.h" namespace StreamCompaction { @@ -11,14 +11,59 @@ namespace StreamCompaction { static PerformanceTimer timer; return timer; } - // TODO: __global__ + + __global__ void kernNaiveScan(int n, int *B, int *A, int d) { + int idx = blockDim.x * blockIdx.x + threadIdx.x; + + if (idx >= n) { + return; + } + int offset = 1 << (d - 1); + + if (idx >= offset) { + B[idx] = A[idx - offset] + A[idx]; + } + else { + B[idx] = A[idx]; + } + } /** * Performs prefix-sum (aka scan) on idata, storing the result into odata. */ - void scan(int n, int *odata, const int *idata) { + void scan(int n, int *odata, const int *idata) { timer().startGpuTimer(); // TODO + unsigned int blockSize = 128; + dim3 fullBlocksPerGrid((n + blockSize - 1) / blockSize); + + // define two device arrays + int* A; + int* B; + + size_t arraySize = n * sizeof(int); + cudaMalloc((void**)&A, arraySize); + checkCUDAError("cudaMalloc A failed!"); + cudaMalloc((void**)&B, arraySize); + checkCUDAError("cudaMalloc B failed!"); + + cudaMemcpy(A, idata, arraySize, cudaMemcpyHostToDevice); + checkCUDAError("cudaMemcpy idata to A failed!"); + + for (int i = 1; i <= ilog2ceil(n); i++) { + kernNaiveScan << > > (n, B, A, i); + + // swap the two arrays + std::swap(B, A); + } + + odata[0] = 0; + cudaMemcpy(odata + 1, A, arraySize, cudaMemcpyDeviceToHost); + checkCUDAError("cudaMemcpy odata failed!"); + + cudaFree(A); + cudaFree(B); + timer().endGpuTimer(); } } From 3cdbd494bd073ada603744d98048ecf895515e8d Mon Sep 17 00:00:00 2001 From: Singh Date: Tue, 17 Sep 2024 20:24:16 -0400 Subject: [PATCH 02/12] Changes to Naive and Efficient Scan implementations --- stream_compaction/efficient.cu | 43 ++++++++++++++++++++++------------ stream_compaction/naive.cu | 9 +++---- 2 files changed, 33 insertions(+), 19 deletions(-) diff --git a/stream_compaction/efficient.cu b/stream_compaction/efficient.cu index 7a3a605..0df3fe4 100644 --- a/stream_compaction/efficient.cu +++ b/stream_compaction/efficient.cu @@ -14,11 +14,11 @@ namespace StreamCompaction { __global__ void kernUpSweep(int n, int* A, int offset) { int idx = blockDim.x * blockIdx.x + threadIdx.x; - idx *= offset; if (idx >= n) { return; } - A[idx + offset - 1] = A[idx + offset / 2 - 1] + A[idx + offset / 2]; + idx *= offset; + A[idx + offset - 1] += A[idx + offset / 2 - 1]; } __global__ void kernDownSweep(int n, int* A, int offset) { @@ -37,38 +37,51 @@ 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(); + unsigned int blockSize = 128; - + + int padding = 1 << ilog2ceil(n); + int* A; size_t arraySize = n * sizeof(int); - cudaMalloc((void**)&A, arraySize); + size_t paddedSize = padding * sizeof(int); + cudaMalloc((void**)&A, paddedSize); checkCUDAError("cudaMalloc A failed!"); cudaMemcpy(A, idata, arraySize, cudaMemcpyHostToDevice); checkCUDAError("cudaMemcpy idata to A failed!"); + cudaMemcpy(A + n, 0, (paddedSize - arraySize), cudaMemcpyHostToDevice); + checkCUDAError("cudaMemcpy idata to A failed!"); + cudaDeviceSynchronize(); + + timer().startGpuTimer(); + int numThreads = n; + for (int i = 0; i < ilog2ceil(n); i++) { - int offset = pow(2, (i + 1)); - blockSize /= offset; - dim3 fullBlocksPerGrid = ((n + blockSize - 1) / blockSize); + int offset = 1 << (i + 1); + numThreads /= 2; + dim3 fullBlocksPerGrid = ((numThreads + blockSize - 1) / blockSize); kernUpSweep << > > (n, A, offset); + cudaDeviceSynchronize(); } - A[n - 1] = 0; - for (int i = ilog2ceil(n) - 1; i >= 0; i++) { - int offset = pow(2, i + 1); - blockSize /= offset; - dim3 fullBlocksPerGrid = ((n + blockSize - 1) / blockSize); + // assign 0 to the root of the tree for Down-Sweep + cudaMemset(A + n - 1, 0, sizeof(int)); + + for (int i = ilog2ceil(n) - 1; i >= 0; i--) { + int offset = 1 << (i + 1); + numThreads *= 2; + dim3 fullBlocksPerGrid = ((numThreads + blockSize - 1) / blockSize); kernDownSweep << > > (n, A, offset); } + timer().endGpuTimer(); + cudaMemcpy(odata, A, arraySize, cudaMemcpyDeviceToHost); checkCUDAError("cudaMemcpy odata failed!"); cudaFree(A); - - timer().endGpuTimer(); } /** diff --git a/stream_compaction/naive.cu b/stream_compaction/naive.cu index ccf0e95..1db26e7 100644 --- a/stream_compaction/naive.cu +++ b/stream_compaction/naive.cu @@ -32,8 +32,7 @@ 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 + unsigned int blockSize = 128; dim3 fullBlocksPerGrid((n + blockSize - 1) / blockSize); @@ -50,6 +49,8 @@ namespace StreamCompaction { cudaMemcpy(A, idata, arraySize, cudaMemcpyHostToDevice); checkCUDAError("cudaMemcpy idata to A failed!"); + timer().startGpuTimer(); + for (int i = 1; i <= ilog2ceil(n); i++) { kernNaiveScan << > > (n, B, A, i); @@ -58,13 +59,13 @@ namespace StreamCompaction { } odata[0] = 0; + timer().endGpuTimer(); + cudaMemcpy(odata + 1, A, arraySize, cudaMemcpyDeviceToHost); checkCUDAError("cudaMemcpy odata failed!"); cudaFree(A); cudaFree(B); - - timer().endGpuTimer(); } } } From d01700e4b72e06f2776bebc91d62baa16b2d881a Mon Sep 17 00:00:00 2001 From: Singh Date: Wed, 18 Sep 2024 22:52:39 -0400 Subject: [PATCH 03/12] Thrust and Efficient compact --- stream_compaction/common.cu | 20 +++++++-- stream_compaction/efficient.cu | 80 ++++++++++++++++++++++++++++------ stream_compaction/efficient.h | 2 +- stream_compaction/naive.cu | 2 +- stream_compaction/thrust.cu | 12 +++++ 5 files changed, 97 insertions(+), 19 deletions(-) diff --git a/stream_compaction/common.cu b/stream_compaction/common.cu index 2ed6d63..de8e11a 100644 --- a/stream_compaction/common.cu +++ b/stream_compaction/common.cu @@ -1,6 +1,6 @@ #include "common.h" -void checkCUDAErrorFn(const char *msg, const char *file, int line) { +void checkCUDAErrorFn(const char* msg, const char* file, int line) { cudaError_t err = cudaGetLastError(); if (cudaSuccess == err) { return; @@ -22,17 +22,29 @@ namespace StreamCompaction { * Maps an array to an array of 0s and 1s for stream compaction. Elements * which map to 0 will be removed, and elements which map to 1 will be kept. */ - __global__ void kernMapToBoolean(int n, int *bools, const int *idata) { + __global__ void kernMapToBoolean(int n, int* bools, const int* idata) { // TODO + int idx = blockDim.x * blockIdx.x + threadIdx.x; + if (idx >= n) { + return; + } + bools[idx] = (idata[idx]) ? 1 : 0; } /** * Performs scatter on an array. That is, for each element in idata, * if bools[idx] == 1, it copies idata[idx] to odata[indices[idx]]. */ - __global__ void kernScatter(int n, int *odata, - const int *idata, const int *bools, const int *indices) { + __global__ void kernScatter(int n, int* odata, + const int* idata, const int* bools, const int* indices) { // TODO + int idx = blockDim.x * blockIdx.x + threadIdx.x; + if (idx >= n) { + return; + } + if (bools[idx]) { + odata[indices[idx]] = idata[idx]; + } } } diff --git a/stream_compaction/efficient.cu b/stream_compaction/efficient.cu index 0df3fe4..845a9ae 100644 --- a/stream_compaction/efficient.cu +++ b/stream_compaction/efficient.cu @@ -36,7 +36,7 @@ namespace StreamCompaction { /** * Performs prefix-sum (aka scan) on idata, storing the result into odata. */ - void scan(int n, int *odata, const int *idata) { + void scan(int n, int* odata, const int* idata, bool timeFlag) { unsigned int blockSize = 128; @@ -49,37 +49,44 @@ namespace StreamCompaction { checkCUDAError("cudaMalloc A failed!"); cudaMemcpy(A, idata, arraySize, cudaMemcpyHostToDevice); + cudaDeviceSynchronize(); checkCUDAError("cudaMemcpy idata to A failed!"); - cudaMemcpy(A + n, 0, (paddedSize - arraySize), cudaMemcpyHostToDevice); - checkCUDAError("cudaMemcpy idata to A failed!"); + cudaMemset(A + n, 0, (paddedSize - arraySize)); cudaDeviceSynchronize(); + checkCUDAError("cudaMemcpy padding A failed!"); - timer().startGpuTimer(); - int numThreads = n; + int numThreads = padding; + if (timeFlag) + timer().startGpuTimer(); for (int i = 0; i < ilog2ceil(n); i++) { int offset = 1 << (i + 1); numThreads /= 2; dim3 fullBlocksPerGrid = ((numThreads + blockSize - 1) / blockSize); - kernUpSweep << > > (n, A, offset); + kernUpSweep << > > (padding, A, offset); cudaDeviceSynchronize(); + checkCUDAError("kernUpSweep failed!"); } // assign 0 to the root of the tree for Down-Sweep cudaMemset(A + n - 1, 0, sizeof(int)); + cudaDeviceSynchronize(); + checkCUDAError("cudaMemset to A failed!"); for (int i = ilog2ceil(n) - 1; i >= 0; i--) { int offset = 1 << (i + 1); numThreads *= 2; dim3 fullBlocksPerGrid = ((numThreads + blockSize - 1) / blockSize); - kernDownSweep << > > (n, A, offset); + kernDownSweep << > > (padding, A, offset); + checkCUDAError("kernDownSweep failed!"); } - timer().endGpuTimer(); - + if (timeFlag) + timer().endGpuTimer(); cudaMemcpy(odata, A, arraySize, cudaMemcpyDeviceToHost); - checkCUDAError("cudaMemcpy odata failed!"); + cudaDeviceSynchronize(); + checkCUDAError("cudaMemcpy A to odata failed!"); cudaFree(A); } @@ -93,11 +100,58 @@ namespace StreamCompaction { * @param idata The array of elements to compact. * @returns The number of elements remaining after compaction. */ - int compact(int n, int *odata, const int *idata) { + int compact(int n, int* odata, const int* idata) { + + unsigned int blockSize = 128; + dim3 fullBlocksPerGrid((n + blockSize - 1) / blockSize); + + // Create device arrays + int* dev_idata; + int* dev_odata; + int* dev_bools; + int* dev_indices; + int padLen = 1 << ilog2ceil(n); + size_t arraySize = n * sizeof(int); + size_t paddedSize = padLen * sizeof(int); + + printf("Hello"); + cudaMalloc((void**)&dev_idata, arraySize); + cudaMalloc((void**)&dev_bools, paddedSize); + cudaMalloc((void**)&dev_indices, paddedSize); + cudaMalloc((void**)&dev_odata, arraySize); + cudaDeviceSynchronize(); + checkCUDAError("cudaMalloc failed!"); + + cudaMemcpy(dev_idata, idata, arraySize, cudaMemcpyHostToDevice); + cudaDeviceSynchronize(); + checkCUDAError("cudaMemcpy idata failed!"); + + cudaMemset(dev_bools + n, 0, (paddedSize - arraySize)); + cudaDeviceSynchronize(); + checkCUDAError("cudaMemset dev_bools failed!"); + + timer().startGpuTimer(); - // TODO + + StreamCompaction::Common::kernMapToBoolean << > > (n, dev_bools, dev_idata); + + scan(n, dev_indices, dev_bools, 0); + StreamCompaction::Common::kernScatter << > > (n, dev_odata, dev_idata, dev_bools, dev_indices); + cudaDeviceSynchronize(); + timer().endGpuTimer(); - return -1; + cudaMemcpy(odata, dev_odata, arraySize, cudaMemcpyDeviceToHost); + checkCUDAError("cudaMemcpy dev_odata to data failed!"); + + int compactLen = 0; + cudaMemcpy(&compactLen, dev_indices + padLen - 1, sizeof(int), cudaMemcpyHostToDevice); + + cudaFree(dev_bools); + cudaFree(dev_indices); + cudaFree(dev_idata); + cudaFree(dev_odata); + + return compactLen; } } } diff --git a/stream_compaction/efficient.h b/stream_compaction/efficient.h index 803cb4f..4341042 100644 --- a/stream_compaction/efficient.h +++ b/stream_compaction/efficient.h @@ -6,7 +6,7 @@ namespace StreamCompaction { namespace Efficient { StreamCompaction::Common::PerformanceTimer& timer(); - void scan(int n, int *odata, const int *idata); + void scan(int n, int* odata, const int* idata, bool timeFlag = 1); int compact(int n, int *odata, const int *idata); } diff --git a/stream_compaction/naive.cu b/stream_compaction/naive.cu index 1db26e7..6163109 100644 --- a/stream_compaction/naive.cu +++ b/stream_compaction/naive.cu @@ -58,9 +58,9 @@ namespace StreamCompaction { std::swap(B, A); } - odata[0] = 0; timer().endGpuTimer(); + odata[0] = 0; cudaMemcpy(odata + 1, A, arraySize, cudaMemcpyDeviceToHost); checkCUDAError("cudaMemcpy odata failed!"); diff --git a/stream_compaction/thrust.cu b/stream_compaction/thrust.cu index 1def45e..cdb5522 100644 --- a/stream_compaction/thrust.cu +++ b/stream_compaction/thrust.cu @@ -18,11 +18,23 @@ namespace StreamCompaction { * Performs prefix-sum (aka scan) on idata, storing the result into odata. */ void scan(int n, int *odata, const int *idata) { + + + thrust::host_vector thrust_idata(idata, idata + n); + thrust::host_vector thrust_odata(odata, odata + n); + + thrust::device_vector dev_thrust_idata = thrust_idata; + thrust::device_vector dev_thrust_odata = thrust_odata; + cudaDeviceSynchronize(); 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::exclusive_scan(dev_thrust_idata.begin(), dev_thrust_idata.end(), dev_thrust_odata.begin()); timer().endGpuTimer(); + printf("Hello"); + + thrust::copy(dev_thrust_odata.begin(), dev_thrust_odata.end(), odata); } } } From 1e8ec26ecb138d782a249905035e4e1374507aa9 Mon Sep 17 00:00:00 2001 From: Singh Date: Wed, 18 Sep 2024 23:08:20 -0400 Subject: [PATCH 04/12] Minor changes --- stream_compaction/efficient.cu | 1 - stream_compaction/thrust.cu | 13 ++++++------- 2 files changed, 6 insertions(+), 8 deletions(-) diff --git a/stream_compaction/efficient.cu b/stream_compaction/efficient.cu index 845a9ae..7e9887b 100644 --- a/stream_compaction/efficient.cu +++ b/stream_compaction/efficient.cu @@ -114,7 +114,6 @@ namespace StreamCompaction { size_t arraySize = n * sizeof(int); size_t paddedSize = padLen * sizeof(int); - printf("Hello"); cudaMalloc((void**)&dev_idata, arraySize); cudaMalloc((void**)&dev_bools, paddedSize); cudaMalloc((void**)&dev_indices, paddedSize); diff --git a/stream_compaction/thrust.cu b/stream_compaction/thrust.cu index cdb5522..58f5d8c 100644 --- a/stream_compaction/thrust.cu +++ b/stream_compaction/thrust.cu @@ -19,22 +19,21 @@ namespace StreamCompaction { */ void scan(int n, int *odata, const int *idata) { + thrust::host_vector h_odata(odata, odata + n); + thrust::host_vector h_idata(idata, idata + n); - thrust::host_vector thrust_idata(idata, idata + n); - thrust::host_vector thrust_odata(odata, odata + n); + thrust::device_vector dv_in = h_idata; + thrust::device_vector dv_out = h_odata; - thrust::device_vector dev_thrust_idata = thrust_idata; - thrust::device_vector dev_thrust_odata = thrust_odata; cudaDeviceSynchronize(); 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::exclusive_scan(dev_thrust_idata.begin(), dev_thrust_idata.end(), dev_thrust_odata.begin()); + thrust::exclusive_scan(dv_in.begin(), dv_in.end(), dv_out.begin()); timer().endGpuTimer(); - printf("Hello"); - thrust::copy(dev_thrust_odata.begin(), dev_thrust_odata.end(), odata); + thrust::copy(dv_out.begin(), dv_out.end(), odata); } } } From e1230cb8b19c4a5c0f7151118be328ebdf680283 Mon Sep 17 00:00:00 2001 From: Singh Date: Thu, 19 Sep 2024 12:11:30 -0400 Subject: [PATCH 05/12] Refactor buffer array A to dev_odata --- stream_compaction/efficient.cu | 28 ++++++++++++++-------------- 1 file changed, 14 insertions(+), 14 deletions(-) diff --git a/stream_compaction/efficient.cu b/stream_compaction/efficient.cu index 7e9887b..e448797 100644 --- a/stream_compaction/efficient.cu +++ b/stream_compaction/efficient.cu @@ -42,19 +42,19 @@ namespace StreamCompaction { int padding = 1 << ilog2ceil(n); - int* A; + int* dev_odata; size_t arraySize = n * sizeof(int); size_t paddedSize = padding * sizeof(int); - cudaMalloc((void**)&A, paddedSize); - checkCUDAError("cudaMalloc A failed!"); + cudaMalloc((void**)&dev_odata, paddedSize); + checkCUDAError("cudaMalloc dev_odata failed!"); - cudaMemcpy(A, idata, arraySize, cudaMemcpyHostToDevice); + cudaMemcpy(dev_odata, idata, arraySize, cudaMemcpyHostToDevice); cudaDeviceSynchronize(); - checkCUDAError("cudaMemcpy idata to A failed!"); + checkCUDAError("cudaMemcpy idata to dev_odata failed!"); - cudaMemset(A + n, 0, (paddedSize - arraySize)); + cudaMemset(dev_odata + n, 0, (paddedSize - arraySize)); cudaDeviceSynchronize(); - checkCUDAError("cudaMemcpy padding A failed!"); + checkCUDAError("cudaMemcpy padding dev_odata failed!"); int numThreads = padding; @@ -64,31 +64,31 @@ namespace StreamCompaction { int offset = 1 << (i + 1); numThreads /= 2; dim3 fullBlocksPerGrid = ((numThreads + blockSize - 1) / blockSize); - kernUpSweep << > > (padding, A, offset); + kernUpSweep << > > (padding, dev_odata, offset); cudaDeviceSynchronize(); checkCUDAError("kernUpSweep failed!"); } // assign 0 to the root of the tree for Down-Sweep - cudaMemset(A + n - 1, 0, sizeof(int)); + cudaMemset(dev_odata + padding - 1, 0, sizeof(int)); cudaDeviceSynchronize(); - checkCUDAError("cudaMemset to A failed!"); + checkCUDAError("cudaMemset to dev_odata failed!"); for (int i = ilog2ceil(n) - 1; i >= 0; i--) { int offset = 1 << (i + 1); numThreads *= 2; dim3 fullBlocksPerGrid = ((numThreads + blockSize - 1) / blockSize); - kernDownSweep << > > (padding, A, offset); + kernDownSweep << > > (padding, dev_odata, offset); checkCUDAError("kernDownSweep failed!"); } if (timeFlag) timer().endGpuTimer(); - cudaMemcpy(odata, A, arraySize, cudaMemcpyDeviceToHost); + cudaMemcpy(odata, dev_odata, arraySize, cudaMemcpyDeviceToHost); cudaDeviceSynchronize(); - checkCUDAError("cudaMemcpy A to odata failed!"); + checkCUDAError("cudaMemcpy dev_odata to odata failed!"); - cudaFree(A); + cudaFree(dev_odata); } /** From c937054fe9f83156cc60b0b0c45ae0ab8856c492 Mon Sep 17 00:00:00 2001 From: Singh Date: Thu, 19 Sep 2024 12:35:04 -0400 Subject: [PATCH 06/12] change the condition on thread index in efficient --- src/main.cpp | 2 +- stream_compaction/efficient.cu | 5 +++-- 2 files changed, 4 insertions(+), 3 deletions(-) diff --git a/src/main.cpp b/src/main.cpp index 896ac2b..600c29f 100644 --- a/src/main.cpp +++ b/src/main.cpp @@ -13,7 +13,7 @@ #include #include "testing_helpers.hpp" -const int SIZE = 1 << 8; // feel free to change the size of array +const int SIZE = 1 << 20; // feel free to change the size of array const int NPOT = SIZE - 3; // Non-Power-Of-Two int *a = new int[SIZE]; int *b = new int[SIZE]; diff --git a/stream_compaction/efficient.cu b/stream_compaction/efficient.cu index e448797..2a99132 100644 --- a/stream_compaction/efficient.cu +++ b/stream_compaction/efficient.cu @@ -14,7 +14,7 @@ namespace StreamCompaction { __global__ void kernUpSweep(int n, int* A, int offset) { int idx = blockDim.x * blockIdx.x + threadIdx.x; - if (idx >= n) { + if (idx >= n / offset) { return; } idx *= offset; @@ -23,7 +23,7 @@ namespace StreamCompaction { __global__ void kernDownSweep(int n, int* A, int offset) { int idx = blockDim.x * blockIdx.x + threadIdx.x; - if (idx >= n) { + if (idx >= n/offset) { return; } idx *= offset; @@ -63,6 +63,7 @@ namespace StreamCompaction { for (int i = 0; i < ilog2ceil(n); i++) { int offset = 1 << (i + 1); numThreads /= 2; + dim3 fullBlocksPerGrid = ((numThreads + blockSize - 1) / blockSize); kernUpSweep << > > (padding, dev_odata, offset); cudaDeviceSynchronize(); From 6e9db4a5543f530349c3dc30009dbd2145e15484 Mon Sep 17 00:00:00 2001 From: Singh Date: Thu, 19 Sep 2024 13:28:37 -0400 Subject: [PATCH 07/12] correction to non-power-of-two efficient compaction --- src/main.cpp | 2 +- stream_compaction/efficient.cu | 37 ++++++++++++++++++++++------------ 2 files changed, 25 insertions(+), 14 deletions(-) diff --git a/src/main.cpp b/src/main.cpp index 600c29f..e49e1f8 100644 --- a/src/main.cpp +++ b/src/main.cpp @@ -13,7 +13,7 @@ #include #include "testing_helpers.hpp" -const int SIZE = 1 << 20; // feel free to change the size of array +const int SIZE = 1 << 3; // feel free to change the size of array const int NPOT = SIZE - 3; // Non-Power-Of-Two int *a = new int[SIZE]; int *b = new int[SIZE]; diff --git a/stream_compaction/efficient.cu b/stream_compaction/efficient.cu index 2a99132..80f5502 100644 --- a/stream_compaction/efficient.cu +++ b/stream_compaction/efficient.cu @@ -14,6 +14,8 @@ namespace StreamCompaction { __global__ void kernUpSweep(int n, int* A, int offset) { int idx = blockDim.x * blockIdx.x + threadIdx.x; + + // Dividing the input into groups each of offset size if (idx >= n / offset) { return; } @@ -49,11 +51,9 @@ namespace StreamCompaction { checkCUDAError("cudaMalloc dev_odata failed!"); cudaMemcpy(dev_odata, idata, arraySize, cudaMemcpyHostToDevice); - cudaDeviceSynchronize(); checkCUDAError("cudaMemcpy idata to dev_odata failed!"); cudaMemset(dev_odata + n, 0, (paddedSize - arraySize)); - cudaDeviceSynchronize(); checkCUDAError("cudaMemcpy padding dev_odata failed!"); int numThreads = padding; @@ -103,33 +103,36 @@ namespace StreamCompaction { */ int compact(int n, int* odata, const int* idata) { - unsigned int blockSize = 128; - dim3 fullBlocksPerGrid((n + blockSize - 1) / blockSize); - // Create device arrays int* dev_idata; int* dev_odata; int* dev_bools; int* dev_indices; - int padLen = 1 << ilog2ceil(n); + int padding = 1 << ilog2ceil(n); size_t arraySize = n * sizeof(int); - size_t paddedSize = padLen * sizeof(int); + size_t paddedSize = padding * sizeof(int); cudaMalloc((void**)&dev_idata, arraySize); + cudaDeviceSynchronize(); + checkCUDAError("cudaMalloc1 failed!"); + cudaMalloc((void**)&dev_bools, paddedSize); + cudaDeviceSynchronize(); + checkCUDAError("cudaMalloc2 failed!"); + cudaMalloc((void**)&dev_indices, paddedSize); cudaMalloc((void**)&dev_odata, arraySize); cudaDeviceSynchronize(); checkCUDAError("cudaMalloc failed!"); cudaMemcpy(dev_idata, idata, arraySize, cudaMemcpyHostToDevice); - cudaDeviceSynchronize(); checkCUDAError("cudaMemcpy idata failed!"); cudaMemset(dev_bools + n, 0, (paddedSize - arraySize)); - cudaDeviceSynchronize(); checkCUDAError("cudaMemset dev_bools failed!"); + unsigned int blockSize = 128; + dim3 fullBlocksPerGrid((n + blockSize - 1) / blockSize); timer().startGpuTimer(); @@ -138,20 +141,28 @@ namespace StreamCompaction { scan(n, dev_indices, dev_bools, 0); StreamCompaction::Common::kernScatter << > > (n, dev_odata, dev_idata, dev_bools, dev_indices); cudaDeviceSynchronize(); + checkCUDAError("kernel calls failed!"); timer().endGpuTimer(); cudaMemcpy(odata, dev_odata, arraySize, cudaMemcpyDeviceToHost); - checkCUDAError("cudaMemcpy dev_odata to data failed!"); + checkCUDAError("cudaMemcpy dev_odata to odata failed!"); + + // check if last element of idata is valid, by checking dev_bools. + // If yes, then its index is compactLen - 1. If not, its index is compactLen. + int isLastElemValid; + cudaMemcpy(&isLastElemValid, dev_bools + n - 1, sizeof(int), cudaMemcpyDeviceToHost); + + int lastElemIdx; + cudaMemcpy(&lastElemIdx, dev_indices + n - 1, sizeof(int), cudaMemcpyDeviceToHost); - int compactLen = 0; - cudaMemcpy(&compactLen, dev_indices + padLen - 1, sizeof(int), cudaMemcpyHostToDevice); + int compactLen = (isLastElemValid) ? lastElemIdx + 1 : lastElemIdx; cudaFree(dev_bools); cudaFree(dev_indices); cudaFree(dev_idata); cudaFree(dev_odata); - return compactLen; + return (compactLen) ? compactLen : -1; } } } From 9f81ecddfa64274b11f10368ed4fc69d42d0a5da Mon Sep 17 00:00:00 2001 From: Singh Date: Thu, 19 Sep 2024 17:28:39 -0400 Subject: [PATCH 08/12] Readme Update --- README.md | 32 +++++++++++++++++++++++++++++--- 1 file changed, 29 insertions(+), 3 deletions(-) diff --git a/README.md b/README.md index 0e38ddb..c019c93 100644 --- a/README.md +++ b/README.md @@ -3,12 +3,38 @@ 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) +* Shreyas Singh + * [LinkedIn](https://linkedin.com/in/shreyassinghiitr), [Personal Website](https://github.com/shreyas3156). +* Tested on: Windows 10, i7-12700 @ 2.1GHz 32GB, T1000 (CETS Lab) + +### About +This project features an implementation of all-prefix-sums operation on an array of data, often known as +_Scan_, followed by _Stream Compaction_, which refers to creating a new array with elements from the input that are filtered using a given criteria, preserving the order of elements in the process. We use _scan_ interchangeably with _exclusive scan_ throughout the project, where each element _k_ in the result array is the sum +of all elements up to but excluding _k_ itself in the input array. + +We would see three different implementations of Scan, the first being a trivial sequential CPU-Scan and the other two being +"Naive" and "Work-Efficient" CUDA implementations of a parallel scan algorithm that leverage GPU's data parallelism, thus giving huge performance improvement +for large inputs. + +Our Stream Compaction algorithm would remove `0`s from an array of `int`s, using CPU and Work-Efficient parallel scans using CUDA. +For a detailed version of Scan and further reading, check out [GPU Gems 3, Ch-39](https://developer.nvidia.com/gpugems/gpugems3/part-vi-gpu-computing/chapter-39-parallel-prefix-sum-scan-cuda). + + +### Naive Parallel Scan + +### Work-Efficient Parallel Scan + +## Performance Analysis +Optimal Block size vs Different Scans +Number of elements vs Runtime +- POT runtime plots +- NPOT runtime +- ### (TODO: Your README) Include analysis, etc. (Remember, this is public, so don't put anything here that you don't want to share with the world.) +### References + From 50952d7b3059e19c644d782b384d69d612baee81 Mon Sep 17 00:00:00 2001 From: Singh Date: Thu, 19 Sep 2024 19:23:01 -0400 Subject: [PATCH 09/12] Performance Analysis --- README.md | 44 ++++++++++++++++++++++++++++++++++++++------ src/main.cpp | 2 +- 2 files changed, 39 insertions(+), 7 deletions(-) diff --git a/README.md b/README.md index c019c93..62771cc 100644 --- a/README.md +++ b/README.md @@ -19,17 +19,49 @@ for large inputs. Our Stream Compaction algorithm would remove `0`s from an array of `int`s, using CPU and Work-Efficient parallel scans using CUDA. For a detailed version of Scan and further reading, check out [GPU Gems 3, Ch-39](https://developer.nvidia.com/gpugems/gpugems3/part-vi-gpu-computing/chapter-39-parallel-prefix-sum-scan-cuda). - ### Naive Parallel Scan ### Work-Efficient Parallel Scan ## Performance Analysis -Optimal Block size vs Different Scans -Number of elements vs Runtime -- POT runtime plots -- NPOT runtime -- + +The algorithms have been timed with respect to various parameters like blockSize and input length using the custom `timer()` API. We have only timed the algorithms and not the memory allocations and other computations +since we assume that compute on GPU is for free. Time units are in 'milliseconds(ms)'. + +### Optimal Block size +The `blockSize` parameter was roughly optimized for both parallel algorithms for an array length of 2^20^. I chose to take an average of the time for power-of-two (POT) inputs and non-power-of-two (NPOT) inputs. +The optimal block size was found to be 512 for Naive parallel scan and 128 for Work-Efficient scan. +![](img/blocksizeopt.png) + + +### Scan implementations vs Array Size +We compare the various implementations of Scan (Naive, Work-Efficient and Thrust) with respect to the CPU Scan algorithm. +Thrust is a C++ template library for CUDA based on the Standard Template Library (STL) and it allows you +to implement high performance parallel applications. +bas +Both GPU and CPU timing functions were wrapped up as a performance timer class. We have used +`std::chrono` to provide CPU provide CPU high-precision timing and CUDA event to measure the CUDA performance. + +The power-of-two inputs and non-power-of-two inputs have been analyzed separately for better +comparability of the CPU, GPU and Thrust implementations. +![](img/scan_pot.png) +![](img/perfpot.png) + +![](img/scan_npot.png) +![](img/perfnpot.png) + +Clearly, the CPU implementation is faster for shorter input lengths until around an array size +of 2^13^. Following this, the CPU Scan is slightly slower than Naive Parallel Scan but still faster than Work-Efficient Parallel Scan +until an array size of 2^20^. However, the Thrust scan always has the +fastest performance among all the GPU algorithms and the CPU scan beyond 2^13^. + +The Work-Wfficient scan has been optimized for thread usage such that it only launches the +required number of threads so that no unused thread have to wait for other threads to terminate. This +is why it is faster than all but the Thrust Scan algorithm at arrays of large lengths. + +The major performance bottleneck here is the global memory I/O for all parallel algorithms. This can be improved upon +by utilising the shared memory as the size of shared memory is dynamic and is related to the block size. This overhead is overcome +at arrays of larger sizes when the Work-Efficient and Thrust Scan run faster than the CPU Scan. ### (TODO: Your README) diff --git a/src/main.cpp b/src/main.cpp index e49e1f8..600c29f 100644 --- a/src/main.cpp +++ b/src/main.cpp @@ -13,7 +13,7 @@ #include #include "testing_helpers.hpp" -const int SIZE = 1 << 3; // feel free to change the size of array +const int SIZE = 1 << 20; // feel free to change the size of array const int NPOT = SIZE - 3; // Non-Power-Of-Two int *a = new int[SIZE]; int *b = new int[SIZE]; From 03869ca53e359d81d10a2f6e656be7a0529b96dd Mon Sep 17 00:00:00 2001 From: Singh Date: Thu, 19 Sep 2024 19:28:34 -0400 Subject: [PATCH 10/12] Readme changes --- README.md | 59 ++++++++++++++++++++++++++++++++++++++++--- img/blocksizeopt.png | Bin 0 -> 67733 bytes img/perfnpot.png | Bin 0 -> 330354 bytes img/perfpot.png | Bin 0 -> 332908 bytes img/scan_npot.png | Bin 0 -> 116072 bytes img/scan_pot.png | Bin 0 -> 115676 bytes 6 files changed, 55 insertions(+), 4 deletions(-) create mode 100644 img/blocksizeopt.png create mode 100644 img/perfnpot.png create mode 100644 img/perfpot.png create mode 100644 img/scan_npot.png create mode 100644 img/scan_pot.png diff --git a/README.md b/README.md index 62771cc..64e81e0 100644 --- a/README.md +++ b/README.md @@ -63,10 +63,61 @@ The major performance bottleneck here is the global memory I/O for all parallel by utilising the shared memory as the size of shared memory is dynamic and is related to the block size. This overhead is overcome at arrays of larger sizes when the Work-Efficient and Thrust Scan run faster than the CPU Scan. -### (TODO: Your README) - -Include analysis, etc. (Remember, this is public, so don't put -anything here that you don't want to share with the world.) +``` +**************** +** SCAN TESTS ** +**************** + [ 10 32 23 43 28 33 17 0 35 37 44 0 23 ... 33 0 ] +==== cpu scan, power-of-two ==== + elapsed time: 1.7358ms (std::chrono Measured) + [ 0 10 42 65 108 136 169 186 186 221 258 302 302 ... 25672547 25672580 ] +==== cpu scan, non-power-of-two ==== + elapsed time: 1.7335ms (std::chrono Measured) + [ 0 10 42 65 108 136 169 186 186 221 258 302 302 ... 25672508 25672513 ] + passed +==== naive scan, power-of-two ==== + elapsed time: 1.57238ms (CUDA Measured) + passed +==== naive scan, non-power-of-two ==== + elapsed time: 1.51142ms (CUDA Measured) + passed +==== work-efficient scan, power-of-two ==== + elapsed time: 1.42707ms (CUDA Measured) + passed +==== work-efficient scan, non-power-of-two ==== + elapsed time: 1.36602ms (CUDA Measured) + passed +==== thrust scan, power-of-two ==== + elapsed time: 0.596ms (CUDA Measured) + passed +==== thrust scan, non-power-of-two ==== + elapsed time: 0.176128ms (CUDA Measured) + passed + +***************************** +** STREAM COMPACTION TESTS ** +***************************** + [ 3 1 1 2 2 0 1 3 1 1 0 0 0 ... 0 0 ] +==== cpu compact without scan, power-of-two ==== + elapsed time: 2.146ms (std::chrono Measured) + [ 3 1 1 2 2 1 3 1 1 3 3 2 1 ... 3 3 ] + passed +==== cpu compact without scan, non-power-of-two ==== + elapsed time: 2.171ms (std::chrono Measured) + [ 3 1 1 2 2 1 3 1 1 3 3 2 1 ... 1 3 ] + passed +==== cpu compact with scan ==== + elapsed time: 5.0626ms (std::chrono Measured) + [ 3 1 1 2 2 1 3 1 1 3 3 2 1 ... 3 3 ] + passed +==== work-efficient compact, power-of-two ==== + elapsed time: 2.25693ms (CUDA Measured) + passed +==== work-efficient compact, non-power-of-two ==== + elapsed time: 1.92234ms (CUDA Measured) + passed +Press any key to continue . . . +``` ### References diff --git a/img/blocksizeopt.png b/img/blocksizeopt.png new file mode 100644 index 0000000000000000000000000000000000000000..e93953eebbdc63d5baf895b834b62c0ab8584934 GIT binary patch literal 67733 zcmeFYWn0|8vp9^qQ=m}X-QC^Y-4}Ovr#KW?iWVqZ+}+*XrMMJ#xBvF{J$}v$xF6hm zUD@Q5WF|6`$xJedQdX2gM!-V=0|P^rkrr141A_#Dfq{F#!GLnmDVF|#fgy=li-{@A zh=~y^yEs}{+X2A9q@z-_V71jou(S1&z6ryj2@A{qQ9w(?5SE2w2)ZR*hLZ_W7Da-> z;;a3&rK?;MglvGNavHRZ&KF~Pfk=xm+Nxbm=cp>YX*7+kbn`Rg23v+P$j zEU&6{O2)6q&WK>NHu{z11Ymb`-z+~}&i?%BL)5QG+Nlf$76)FVq^QV9wDT#_J~!^O zX}TcW9qfMwcZxwj7gQ&WexsNHg*NdcN27+4?=rY}}W~gbGHfteo0>fuIElC=eIN%8G94q|kv}$?? zVU}EkMfPPjtG(yRG?O(f3yxwVCkGuTZy0s4cXxC*!nLOoPQ3h4gg|7Y`Ld_w5*j=> zy2b1_goR~ANrjR5Hc5!4~KJdOdotRI1FjM3-NeitEKZa_r54vP}Xs-WB#W|Y$ zs#o5@3P?)mhYJU5hX(dp7{Qiy7&={ed2wwT@#2$!NDv}9F#%jqXc8`dBJ~A&k1ahl zRG=t1n77#O>wX7>GT2jgLOOEsn2bgE(NR_UYw4sy?yS$kNe5xrz+0PW1 zzo`qnM_oDW<2<#Lvm@~UmgsLBfZA-~eM>ZRo||IAg?R 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z9U+k8`pDktTCoO{o4?hnNMmbFWDin4qZ@g2j}dOo-d)??srE%6+zrq}UxZCk|Dxb_ zRWU+ff@nixvlO1!SD-$xI~yR`37`hVmeUN@WH~7beH1hK8I2^6UI_0knyF91%0T2O zDzbDqr{`&Q)3ug=Pau_ws4$>dC6H+bKf$KWB}m(Qo`M9@muVokp@Rfc7kE5nS=9BO zO#K3Ik={$QqS5MXui4r>zMDWd@AU2v`^2e6@C%Ukf~WrAJ6WLvn^8!~(g8uoDfCDz zI}f_DB-l~0Z?D)$97VF4hfc6cQD&b0#lPmP=7;G1sYnKqil5^4fhW?(kQ#?9A@i)t zojro~0w(kqLF`WBio6o|2jcnzhmu?=ipc^}BFcefW{+5$w9)|OkEy;;J zpA!4;V)ftaCzbP1?a5+gFa3j`rSySnkD2B;(eE9|e_xdCCp(Emz=t@6{K-%MpMLhh z*++K-$>e-~cMkuDns*DgU{9_nw*mEDn3i%>RwW;oC0Nx9e9t T6l0?H!9NPJsO$OHj2{0#YFS=G literal 0 HcmV?d00001 From d8d55277038e801414fb48484f06e76ad2ad4622 Mon Sep 17 00:00:00 2001 From: Singh Date: Thu, 19 Sep 2024 19:51:44 -0400 Subject: [PATCH 11/12] Add compaction analysis to Readme --- README.md | 17 ++++++++++------- img/compact_perf.png | Bin 0 -> 386837 bytes 2 files changed, 10 insertions(+), 7 deletions(-) create mode 100644 img/compact_perf.png diff --git a/README.md b/README.md index 64e81e0..a70c0aa 100644 --- a/README.md +++ b/README.md @@ -19,9 +19,6 @@ for large inputs. Our Stream Compaction algorithm would remove `0`s from an array of `int`s, using CPU and Work-Efficient parallel scans using CUDA. For a detailed version of Scan and further reading, check out [GPU Gems 3, Ch-39](https://developer.nvidia.com/gpugems/gpugems3/part-vi-gpu-computing/chapter-39-parallel-prefix-sum-scan-cuda). -### Naive Parallel Scan - -### Work-Efficient Parallel Scan ## Performance Analysis @@ -29,7 +26,7 @@ The algorithms have been timed with respect to various parameters like blockSize since we assume that compute on GPU is for free. Time units are in 'milliseconds(ms)'. ### Optimal Block size -The `blockSize` parameter was roughly optimized for both parallel algorithms for an array length of 2^20^. I chose to take an average of the time for power-of-two (POT) inputs and non-power-of-two (NPOT) inputs. +The `blockSize` parameter was roughly optimized for both parallel algorithms for an array length of 2^20. I chose to take an average of the time for power-of-two (POT) inputs and non-power-of-two (NPOT) inputs. The optimal block size was found to be 512 for Naive parallel scan and 128 for Work-Efficient scan. ![](img/blocksizeopt.png) @@ -52,10 +49,10 @@ comparability of the CPU, GPU and Thrust implementations. Clearly, the CPU implementation is faster for shorter input lengths until around an array size of 2^13^. Following this, the CPU Scan is slightly slower than Naive Parallel Scan but still faster than Work-Efficient Parallel Scan -until an array size of 2^20^. However, the Thrust scan always has the -fastest performance among all the GPU algorithms and the CPU scan beyond 2^13^. +until an array size of 2^20. However, the Thrust scan always has the +fastest performance among all the GPU algorithms and the CPU scan beyond 2^13. -The Work-Wfficient scan has been optimized for thread usage such that it only launches the +The Work-Efficient scan has been optimized for thread usage such that it only launches the required number of threads so that no unused thread have to wait for other threads to terminate. This is why it is faster than all but the Thrust Scan algorithm at arrays of large lengths. @@ -63,6 +60,12 @@ The major performance bottleneck here is the global memory I/O for all parallel by utilising the shared memory as the size of shared memory is dynamic and is related to the block size. This overhead is overcome at arrays of larger sizes when the Work-Efficient and Thrust Scan run faster than the CPU Scan. +Here, we show a comparison of the stream compaction algorithms implemented through CPU (With and Without Scan) and through the Work-Efficient Algorithm. +![](img/compact_perf.png). + +As one would expect from the discussion above, the CPU algorithms take much lesser time than their GPU +counterparts for smaller array sizes (<2^20). This trend appears to flip at array sizes > 2^20 as the optimized +thread usage for the efficient-algorithm produces improved performance. ``` **************** ** SCAN TESTS ** diff --git a/img/compact_perf.png b/img/compact_perf.png new file mode 100644 index 0000000000000000000000000000000000000000..2795578aaeca6b8ee6ea473f474235727df06af1 GIT binary patch literal 386837 zcmeEtcRbtQ_pqv#RBJ@-O@g9G)!utkJ2pX4s~WSCC{;v|qDswDt-VXBO+vLswY5r( zP->Of+mrrQKi}th{`mg!{Q10J?|1Iaz2}ac_c`aD74#irooiRvu8@(DUDMOmG$SLU zWFjM@ct&-Z)S}<`E0m1vs+yOE#vMHk4W2s>{O@}CxRa6TqSLG?q2_%|xppZ}RjKGy zRrP-v(Io>_^{H+?+Tk0g(tC7A{VD~cLT&M^?VXxO*Bls4*B*`2D_~$7)WTOjzK2$e z_?xMYA%BK%BjHQ!=h=rtFW^hlO&7`5LDr&!+EQd6=zki(qE1=oQ&Lz9{ZuKA9$jvE z#F(Bgcvnm7$wlbp$@cURnG1a0RdOHRo=u!PVFa9>_Fg1IN6Dt;^?r&x;2{fTG!gBi zd?YkKP_&3~XR&&DGxCCZ%bl37jE(v+=8U0LQvzZ!*8-@?gzwo`f;h=`MV@+G-~5sv z^N<^7%-42@f-Lbujft_b7&qa1obSs-7T61A$z95vop!G`G+qyymNlRd<}gzL-6FcK z>FfDW;K@cx>P^lamrG@~F(8n(v`5CfNt-5@TjiGns)VHYfUui!DpZFL!sAT!V{U^S 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zvFk1~C(LhBkVLlZ+`t@|JNL!TPX%(T zJ5D|K3&W17z*nnR!Ph`VQSp}9p8*}m!OQaUW6Wb+B?~W0PadPda;CPxRoLWm=L_~T zsF{cA5dIm>@6Ng{eRvzH=D2u*+65HVKjmKc>J!ub@MvEM{~+YN92EWDty@!hD#1r? zd0`8;yu5I%XOn*kxCpR>Q|_6RFY!y%f#emyaMPT6Dz&sEr<4Oqb%Xi{eeZ99w(^95 z955NA1SE*-IniK;{r2Rw(B4@}I8E5aM={0fd43&nS2;WI-VdzqZO**s690hznGcI< zlLeK)m6ua*e+ZyU5S&p{PORwN@YT?}2ThzS9Mbn3UXRA#sV!t#ZLADBHK6$IGOsWI z1aPp` Date: Thu, 19 Sep 2024 23:18:38 -0400 Subject: [PATCH 12/12] Readme typo fixes --- README.md | 25 +++++++++++++++++-------- 1 file changed, 17 insertions(+), 8 deletions(-) diff --git a/README.md b/README.md index a70c0aa..b8d2b0b 100644 --- a/README.md +++ b/README.md @@ -35,31 +35,42 @@ The optimal block size was found to be 512 for Naive parallel scan and 128 for W We compare the various implementations of Scan (Naive, Work-Efficient and Thrust) with respect to the CPU Scan algorithm. Thrust is a C++ template library for CUDA based on the Standard Template Library (STL) and it allows you to implement high performance parallel applications. -bas + Both GPU and CPU timing functions were wrapped up as a performance timer class. We have used -`std::chrono` to provide CPU provide CPU high-precision timing and CUDA event to measure the CUDA performance. +`std::chrono` to provide CPU high-precision timing and CUDA event to measure the CUDA performance. The power-of-two inputs and non-power-of-two inputs have been analyzed separately for better comparability of the CPU, GPU and Thrust implementations. + + ![](img/scan_pot.png) ![](img/perfpot.png) +Analysis for NPOT arrays follows: ![](img/scan_npot.png) ![](img/perfnpot.png) Clearly, the CPU implementation is faster for shorter input lengths until around an array size -of 2^13^. Following this, the CPU Scan is slightly slower than Naive Parallel Scan but still faster than Work-Efficient Parallel Scan +of 2^13. Following this, the CPU Scan is slightly slower than Naive Parallel Scan but still faster than Work-Efficient Parallel Scan until an array size of 2^20. However, the Thrust scan always has the fastest performance among all the GPU algorithms and the CPU scan beyond 2^13. -The Work-Efficient scan has been optimized for thread usage such that it only launches the -required number of threads so that no unused thread have to wait for other threads to terminate. This +The *Work-Efficient scan has been optimized for thread usage* such that it only launches the +required number of threads and no unused thread have to wait for other threads to terminate. This is why it is faster than all but the Thrust Scan algorithm at arrays of large lengths. -The major performance bottleneck here is the global memory I/O for all parallel algorithms. This can be improved upon +The major *performance bottleneck* here is the global memory I/O for all parallel algorithms. This can be improved upon by utilising the shared memory as the size of shared memory is dynamic and is related to the block size. This overhead is overcome at arrays of larger sizes when the Work-Efficient and Thrust Scan run faster than the CPU Scan. +The *Thrust* library's performance through `exclusive_scan()` shows remarkable consistency as the input size increases upto +2^17, following which there is a marginal increase in performance time. The possible explanation is optimal memory management +by Thrust, avoiding possible global memory I/O overheads. The slower performance at larger array sizes could be because of +memory allocation and copying latency between the host and the device. + + +### Stream Compaction Performance + Here, we show a comparison of the stream compaction algorithms implemented through CPU (With and Without Scan) and through the Work-Efficient Algorithm. ![](img/compact_perf.png). @@ -122,5 +133,3 @@ thread usage for the efficient-algorithm produces improved performance. Press any key to continue . . . ``` -### References -

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