From 87819bf80d39882fa60010403d6c1461e61fe5df Mon Sep 17 00:00:00 2001 From: Yi Liu Date: Tue, 17 Sep 2024 23:44:41 -0400 Subject: [PATCH 01/19] update efficient.cu --- stream_compaction/cpu.cu | 51 ++++++++++- stream_compaction/efficient.cu | 153 +++++++++++++++++++++++++++++++-- stream_compaction/naive.cu | 60 ++++++++++++- stream_compaction/thrust.cu | 14 +++ 4 files changed, 267 insertions(+), 11 deletions(-) diff --git a/stream_compaction/cpu.cu b/stream_compaction/cpu.cu index 719fa11..5e52a8f 100644 --- a/stream_compaction/cpu.cu +++ b/stream_compaction/cpu.cu @@ -13,13 +13,21 @@ namespace StreamCompaction { } /** - * CPU scan (prefix sum). + * CPU scan (prefix sum). * For performance analysis, this is supposed to be a simple for loop. * (Optional) For better understanding before starting moving to GPU, you can simulate your GPU scan in this function first. */ void scan(int n, int *odata, const int *idata) { timer().startCpuTimer(); // TODO + if (n > 0) { + odata[0] = idata[0]; // Initialize the first element + + for (int i = 1; i < n; ++i) { + odata[i] = odata[i - 1] + idata[i - 1]; + } + } + timer().endCpuTimer(); } @@ -31,8 +39,19 @@ namespace StreamCompaction { int compactWithoutScan(int n, int *odata, const int *idata) { timer().startCpuTimer(); // TODO + + int count = 0; // Counter for the number of valid elements + + for (int i = 0; i < n; ++i) { + if (idata[i] != 0) { + odata[count] = idata[i]; // Copy valid element to output array + count++; + } + } + + timer().endCpuTimer(); - return -1; + return count; } /** @@ -43,8 +62,34 @@ namespace StreamCompaction { int compactWithScan(int n, int *odata, const int *idata) { timer().startCpuTimer(); // TODO + // Create the predicate array + int* predicate = new int[n]; + for (int i = 0; i < n; i++) { + predicate[i] = (idata[i] != 0) ? 1 : 0; + } + + // Perform an exclusive scan on the predicate array + int* scanResult = new int[n]; + scanResult[0] = 0; + for (int i = 1; i < n; i++) { + scanResult[i] = scanResult[i - 1] + predicate[i - 1]; + } + + // Scatter valid elements to output array (odata) using the scan result + int numElementsRemaining = 0; + for (int i = 0; i < n; i++) { + if (predicate[i] == 1) { + odata[scanResult[i]] = idata[i]; + numElementsRemaining++; + } + } + timer().endCpuTimer(); - return -1; + + delete[] predicate; + delete[] scanResult; + + return numElementsRemaining; } } } diff --git a/stream_compaction/efficient.cu b/stream_compaction/efficient.cu index 2db346e..dad1e4e 100644 --- a/stream_compaction/efficient.cu +++ b/stream_compaction/efficient.cu @@ -3,6 +3,63 @@ #include "common.h" #include "efficient.h" + +__global__ void upsweep(int n, int d, int* data) { + int index = threadIdx.x + blockIdx.x * blockDim.x; + int stride = 1 << (d + 1); + + //validation check + if (index >= n) { + return; + } + + if (index % stride == 0) { + data[index + stride - 1] += data[index + (stride >> 1) - 1]; + } +} + + +__global__ void downsweep(int n, int d, int* data) { + int index = threadIdx.x + blockIdx.x * blockDim.x; + int stride = 1 << (d + 1); + + //validation check + if (index >= n) { + return; + } + + + if (index % stride == 0) { + int left = index + (stride >> 1) - 1; + int right = index + stride - 1; + int temp = data[left]; + data[left] = data[right]; + data[right] += temp; + } +} + + +__global__ void computePredicate(int n, const int* idata, int* predicate) { + int index = threadIdx.x + blockIdx.x * blockDim.x; + if (index >= n) return; + + predicate[index] = (idata[index] != 0) ? 1 : 0; +} + +__global__ void scatter(int n, const int* idata, int* odata, const int* scanned) { + int index = threadIdx.x + blockIdx.x * blockDim.x; + if (index >= n) return; + + if (idata[index] != 0) { + odata[scanned[index]] = idata[index]; + } +} + + + + + + namespace StreamCompaction { namespace Efficient { using StreamCompaction::Common::PerformanceTimer; @@ -15,12 +72,51 @@ 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(); - // TODO - timer().endGpuTimer(); + + void scan(int n, int* odata, const int* idata) { + + // Allocate memory on the GPU + int* dev_data; + cudaMalloc((void**)&dev_data, n * sizeof(int)); + cudaMemcpy(dev_data, idata, n * sizeof(int), cudaMemcpyHostToDevice); + + // Set up the grid and block size + int blockSize = 128; + int numBlocks = (n + blockSize - 1) / blockSize; + + // Start GPU timer + timer().startGpuTimer(); // Start the timer once here + + // Up-sweep phase + for (int d = 0; (1 << d) < n; ++d) { + upsweep <<>> (n, d, dev_data); + cudaDeviceSynchronize(); // Wait for GPU to finish current kernel + } + + // Set the last element to zero + cudaMemset(dev_data + n - 1, 0, sizeof(int)); + + // Down-sweep phase + for (int d = int(log2(n)) - 1; d >= 0; --d) { + downsweep <<>> (n, d, dev_data); + cudaDeviceSynchronize(); // Wait for GPU to finish current kernel + } + + // End GPU timer + timer().endGpuTimer(); // Stop the timer once here + + // Copy results back to host + cudaMemcpy(odata, dev_data, n * sizeof(int), cudaMemcpyDeviceToHost); + + // Free GPU memory + cudaFree(dev_data); } + + + + + /** * Performs stream compaction on idata, storing the result into odata. * All zeroes are discarded. @@ -30,11 +126,54 @@ 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) { - timer().startGpuTimer(); + + int compact(int n, int* odata, const int* idata) { // TODO + // Allocate memory on the device + int* dev_idata, * dev_odata, * dev_predicate, * dev_scanned; + cudaMalloc((void**)&dev_idata, n * sizeof(int)); + cudaMalloc((void**)&dev_odata, n * sizeof(int)); + cudaMalloc((void**)&dev_predicate, n * sizeof(int)); + cudaMalloc((void**)&dev_scanned, n * sizeof(int)); + + cudaMemcpy(dev_idata, idata, n * sizeof(int), cudaMemcpyHostToDevice); + + int blockSize = 128; + int numBlocks = (n + blockSize - 1) / blockSize; + + timer().startGpuTimer(); + + // Compute predicate + computePredicate <<>> (n, dev_idata, dev_predicate); + cudaDeviceSynchronize(); + + // Perform exclusive scan on the predicate array + scan(n, dev_scanned, dev_predicate); + + // Scatter the valid elements to the output array + scatter <<>> (n, dev_idata, dev_odata, dev_scanned); + timer().endGpuTimer(); - return -1; + + cudaDeviceSynchronize(); + + // Copy the results back to the host + cudaMemcpy(odata, dev_odata, n * sizeof(int), cudaMemcpyDeviceToHost); + + // Compute the number of non-zero elements + int count; + cudaMemcpy(&count, dev_scanned + n - 1, sizeof(int), cudaMemcpyDeviceToHost); + count += (idata[n - 1] != 0) ? 1 : 0; // Include the last element if it is non-zero + + cudaFree(dev_idata); + cudaFree(dev_odata); + cudaFree(dev_predicate); + cudaFree(dev_scanned); + + return count; // Return the number of elements remaining after compaction } + + + } } diff --git a/stream_compaction/naive.cu b/stream_compaction/naive.cu index 4308876..4db2a16 100644 --- a/stream_compaction/naive.cu +++ b/stream_compaction/naive.cu @@ -13,13 +13,71 @@ namespace StreamCompaction { } // TODO: __global__ + // CUDA Kernel for naive scan + __global__ void scanKernel(int n, int* odata, const int* idata, int offset) { + int index = threadIdx.x + (blockIdx.x * blockDim.x); + + // validation check + if (index >= n) { + return; + } + + // For each element, update the prefix sum using the offset + if (index >= offset) { + odata[index] = idata[index] + idata[index - offset]; + } + else { + odata[index] = idata[index]; // Elements before the offset remain the same + } + } + + + /** * Performs prefix-sum (aka scan) on idata, storing the result into odata. */ void scan(int n, int *odata, const int *idata) { - timer().startGpuTimer(); // TODO + + // Allocate device memory + int* dev_idata, * dev_odata; + cudaMalloc((void**)&dev_idata, n * sizeof(int)); + cudaMalloc((void**)&dev_odata, n * sizeof(int)); + + // Copy data from host to device + cudaMemcpy(dev_idata, idata, n * sizeof(int), cudaMemcpyHostToDevice); + + // Set up block and grid sizes + int blockSize = 128; + int numBlocks = (n + blockSize - 1) / blockSize; + dim3 fillBlockPerGrid(numBlocks); + + // Start GPU timer + timer().startGpuTimer(); + + // Perform naive scan + for (int offset = 1; offset < n; offset *= 2) { //offset = 2^(d - 1) + // Launch kernel + scanKernel <<>> (n, dev_odata, dev_idata, offset); + + ///This line should be added immediately after the kernel launch to + // ensure all threads have completed their work before copying the data back to dev_idat + cudaDeviceSynchronize(); + + // Copy odata back to idata for the next iteration + cudaMemcpy(dev_idata, dev_odata, n * sizeof(int), cudaMemcpyDeviceToDevice); + } + + // Stop GPU timer timer().endGpuTimer(); + + // Copy results from device to host + cudaMemcpy(odata, dev_odata, n * sizeof(int), cudaMemcpyDeviceToHost); + + // Free device memory + cudaFree(dev_idata); + cudaFree(dev_odata); + } } } diff --git a/stream_compaction/thrust.cu b/stream_compaction/thrust.cu index 1def45e..8214b54 100644 --- a/stream_compaction/thrust.cu +++ b/stream_compaction/thrust.cu @@ -22,7 +22,21 @@ namespace StreamCompaction { // 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()); + + // Create thrust device vectors and copy input data to the device + thrust::device_vector dv_in(idata, idata + n); + thrust::device_vector dv_out(n); + + // Perform the exclusive scan using Thrust + thrust::exclusive_scan(dv_in.begin(), dv_in.end(), dv_out.begin()); + timer().endGpuTimer(); + + // Copy the results back to host memory (output array odata) + thrust::copy(dv_out.begin(), dv_out.end(), odata); + //cudaMemcpy(odata, dv_out.data().get(), n * sizeof(int), cudaMemcpyDeviceToHost); + } } + } From abdd648ccb5f4e19d6bdca878801bb3e4fa4d864 Mon Sep 17 00:00:00 2001 From: Yi Liu Date: Sat, 24 May 2025 15:54:47 -0400 Subject: [PATCH 02/19] update cpu/naive/efficient version --- CMakeLists.txt | 1 + stream_compaction/cpu.cu | 49 +++++++++++++-- stream_compaction/efficient.cu | 112 ++++++++++++++++++++++++++++++--- stream_compaction/naive.cu | 52 +++++++++++++-- stream_compaction/thrust.cu | 12 +++- 5 files changed, 205 insertions(+), 21 deletions(-) diff --git a/CMakeLists.txt b/CMakeLists.txt index 69e2cba..4c0c716 100644 --- a/CMakeLists.txt +++ b/CMakeLists.txt @@ -1,6 +1,7 @@ cmake_minimum_required(VERSION 3.18) project(cis5650_stream_compaction_test LANGUAGES CUDA CXX) + set_property(GLOBAL PROPERTY USE_FOLDERS ON) set(CMAKE_ARCHIVE_OUTPUT_DIRECTORY ${CMAKE_BINARY_DIR}/lib) diff --git a/stream_compaction/cpu.cu b/stream_compaction/cpu.cu index 719fa11..0d8d5e8 100644 --- a/stream_compaction/cpu.cu +++ b/stream_compaction/cpu.cu @@ -13,13 +13,24 @@ namespace StreamCompaction { } /** - * CPU scan (prefix sum). + * CPU scan (prefix sum). * For performance analysis, this is supposed to be a simple for loop. * (Optional) For better understanding before starting moving to GPU, you can simulate your GPU scan in this function first. */ void scan(int n, int *odata, const int *idata) { timer().startCpuTimer(); // TODO + + if (n == 0) { + timer().endCpuTimer(); + return; + } + + odata[0] = 0; + for (int i = 1; i < n; ++i) { + odata[i] = odata[i - 1] + idata[i - 1]; + } + timer().endCpuTimer(); } @@ -31,8 +42,15 @@ namespace StreamCompaction { int compactWithoutScan(int n, int *odata, const int *idata) { timer().startCpuTimer(); // TODO + int count = 0; + for (int i = 0; i < n; i++) { + if (idata[i] != 0) { + odata[count++] = idata[i]; + } + } + timer().endCpuTimer(); - return -1; + return count; } /** @@ -41,10 +59,29 @@ namespace StreamCompaction { * @returns the number of elements remaining after compaction. */ int compactWithScan(int n, int *odata, const int *idata) { - timer().startCpuTimer(); - // TODO - timer().endCpuTimer(); - return -1; + int* bools = new int[n]; + int* indices = new int[n]; + + // Map: mark 1 if non-zero, else 0 + for (int i = 0; i < n; i++) { + bools[i] = (idata[i] != 0) ? 1 : 0; + } + + // Scan the bools to get indices + scan(n, indices, bools); + + // Scatter: place valid elements in correct position + int count = 0; + for (int i = 0; i < n; i++) { + if (bools[i] == 1) { + odata[indices[i]] = idata[i]; + count++; + } + } + + delete[] bools; + delete[] indices; + return count; } } } diff --git a/stream_compaction/efficient.cu b/stream_compaction/efficient.cu index 2db346e..b4e32d7 100644 --- a/stream_compaction/efficient.cu +++ b/stream_compaction/efficient.cu @@ -3,6 +3,7 @@ #include "common.h" #include "efficient.h" + namespace StreamCompaction { namespace Efficient { using StreamCompaction::Common::PerformanceTimer; @@ -12,15 +13,73 @@ namespace StreamCompaction { return timer; } + __global__ void upsweep(int* data, int twod, int twod1, int n) { + int index = threadIdx.x + blockIdx.x * blockDim.x; + int k = index * twod1; + if (k + twod1 - 1 < n) { + data[k + twod1 - 1] += data[k + twod - 1]; + } + } + + + __global__ void downsweep(int* data, int twod, int twod1, int n) { + int index = threadIdx.x + blockIdx.x * blockDim.x; + int k = index * twod1; + if (k + twod1 - 1 < n) { + int t = data[k + twod - 1]; + data[k + twod - 1] = data[k + twod1 - 1]; + data[k + twod1 - 1] += t; + } + } + + + /** * Performs prefix-sum (aka scan) on idata, storing the result into odata. */ - void scan(int n, int *odata, const int *idata) { - timer().startGpuTimer(); - // TODO - timer().endGpuTimer(); + // Internal version that controls timing + void scan_internal(int n, int* odata, const int* idata, bool timing) { + if (timing) timer().startGpuTimer(); + + int pow2Len = 1 << ilog2ceil(n); + int* dev_data; + cudaMalloc(&dev_data, pow2Len * sizeof(int)); + cudaMemset(dev_data, 0, pow2Len * sizeof(int)); + cudaMemcpy(dev_data, idata, n * sizeof(int), cudaMemcpyHostToDevice); + + int blockSize = 128; + for (int d = 1; d <= ilog2ceil(pow2Len); ++d) { + int twod = 1 << (d - 1); + int twod1 = 1 << d; + int numThreads = pow2Len / twod1; + int numBlocks = (numThreads + blockSize - 1) / blockSize; + upsweep << > > (dev_data, twod, twod1, pow2Len); + cudaDeviceSynchronize(); + } + + cudaMemset(dev_data + pow2Len - 1, 0, sizeof(int)); // zero for exclusive + + for (int d = ilog2ceil(pow2Len); d >= 1; --d) { + int twod = 1 << (d - 1); + int twod1 = 1 << d; + int numThreads = pow2Len / twod1; + int numBlocks = (numThreads + blockSize - 1) / blockSize; + downsweep << > > (dev_data, twod, twod1, pow2Len); + cudaDeviceSynchronize(); + } + + cudaMemcpy(odata, dev_data, n * sizeof(int), cudaMemcpyDeviceToHost); + cudaFree(dev_data); + + if (timing) timer().endGpuTimer(); } + + void scan(int n, int* odata, const int* idata) { + scan_internal(n, odata, idata, true); + } + + /** * Performs stream compaction on idata, storing the result into odata. * All zeroes are discarded. @@ -30,11 +89,48 @@ 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) { timer().startGpuTimer(); - // TODO + + int* dev_idata; + int* dev_odata; + int* dev_bools; + int* dev_indices; + + cudaMalloc(&dev_idata, n * sizeof(int)); + cudaMalloc(&dev_odata, n * sizeof(int)); + cudaMalloc(&dev_bools, n * sizeof(int)); + cudaMalloc(&dev_indices, n * sizeof(int)); + + cudaMemcpy(dev_idata, idata, n * sizeof(int), cudaMemcpyHostToDevice); + + int blockSize = 128; + int numBlocks = (n + blockSize - 1) / blockSize; + + StreamCompaction::Common::kernMapToBoolean << > > (n, dev_bools, dev_idata); + cudaDeviceSynchronize(); + + scan_internal(n, dev_indices, dev_bools, false); + + StreamCompaction::Common::kernScatter << > > ( + n, dev_odata, dev_idata, dev_bools, dev_indices); + cudaDeviceSynchronize(); + + int count; + int lastBool; + cudaMemcpy(&count, dev_indices + n - 1, sizeof(int), cudaMemcpyDeviceToHost); + cudaMemcpy(&lastBool, dev_bools + n - 1, sizeof(int), cudaMemcpyDeviceToHost); + count += lastBool; + + cudaMemcpy(odata, dev_odata, count * sizeof(int), cudaMemcpyDeviceToHost); + + cudaFree(dev_idata); + cudaFree(dev_odata); + cudaFree(dev_bools); + cudaFree(dev_indices); + timer().endGpuTimer(); - return -1; + return count; } - } + } diff --git a/stream_compaction/naive.cu b/stream_compaction/naive.cu index 4308876..4a6537f 100644 --- a/stream_compaction/naive.cu +++ b/stream_compaction/naive.cu @@ -11,14 +11,54 @@ namespace StreamCompaction { static PerformanceTimer timer; return timer; } - // TODO: __global__ - /** - * Performs prefix-sum (aka scan) on idata, storing the result into odata. - */ - void scan(int n, int *odata, const int *idata) { + __global__ void naiveScanStep(int n, int d, const int* input, int* output) { + int k = threadIdx.x + blockIdx.x * blockDim.x; + if (k >= n) return; + + if (k >= (1 << (d - 1))) { + output[k] = input[k - (1 << (d - 1))] + input[k]; + } + else { + output[k] = input[k]; + } + } + + int ilog2ceil(int x) { + return static_cast(std::ceil(std::log2f(static_cast(x)))); + } + + void scan(int n, int* odata, const int* idata) { timer().startGpuTimer(); - // TODO + + int* dev_ping; + int* dev_pong; + + cudaMalloc(&dev_ping, n * sizeof(int)); + cudaMalloc(&dev_pong, n * sizeof(int)); + + cudaMemcpy(dev_ping, idata, n * sizeof(int), cudaMemcpyHostToDevice); + + int blockSize = 128; + int numBlocks = (n + blockSize - 1) / blockSize; + + int depth = ilog2ceil(n); + for (int d = 1; d <= depth; ++d) { + naiveScanStep << > > (n, d, dev_ping, dev_pong); + cudaDeviceSynchronize(); + + // Swap buffers + std::swap(dev_ping, dev_pong); + } + + // dev_ping now has the inclusive scan result + // Convert to exclusive scan + cudaMemcpy(odata + 1, dev_ping, (n - 1) * sizeof(int), cudaMemcpyDeviceToHost); + odata[0] = 0; + + cudaFree(dev_ping); + cudaFree(dev_pong); + timer().endGpuTimer(); } } diff --git a/stream_compaction/thrust.cu b/stream_compaction/thrust.cu index 1def45e..5f0eac0 100644 --- a/stream_compaction/thrust.cu +++ b/stream_compaction/thrust.cu @@ -18,11 +18,21 @@ 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()); + + // Copy input from raw pointer to Thrust device_vector + thrust::device_vector d_input(idata, idata + n); + thrust::device_vector d_output(n); + + timer().startGpuTimer(); + thrust::exclusive_scan(d_input.begin(), d_input.end(), d_output.begin()); timer().endGpuTimer(); + + // Copy result back to output pointer + thrust::copy(d_output.begin(), d_output.end(), odata); } } + } From 5f0858728f1ff3a7bba0d6e27d2ac1651901a625 Mon Sep 17 00:00:00 2001 From: Yi Liu Date: Sat, 24 May 2025 17:27:45 -0400 Subject: [PATCH 03/19] update efficent/common --- stream_compaction/common.cu | 8 +++++++ stream_compaction/efficient.cu | 43 ++++++++++++++++++---------------- 2 files changed, 31 insertions(+), 20 deletions(-) diff --git a/stream_compaction/common.cu b/stream_compaction/common.cu index 2ed6d63..ae8f56e 100644 --- a/stream_compaction/common.cu +++ b/stream_compaction/common.cu @@ -24,6 +24,10 @@ namespace StreamCompaction { */ __global__ void kernMapToBoolean(int n, int *bools, const int *idata) { // TODO + int i = threadIdx.x + blockIdx.x * blockDim.x; + if (i < n) { + bools[i] = idata[i] != 0; + } } /** @@ -33,6 +37,10 @@ namespace StreamCompaction { __global__ void kernScatter(int n, int *odata, const int *idata, const int *bools, const int *indices) { // TODO + int i = threadIdx.x + blockIdx.x * blockDim.x; + if (i < n && bools[i]) { + odata[indices[i]] = idata[i]; + } } } diff --git a/stream_compaction/efficient.cu b/stream_compaction/efficient.cu index b4e32d7..519acff 100644 --- a/stream_compaction/efficient.cu +++ b/stream_compaction/efficient.cu @@ -3,7 +3,6 @@ #include "common.h" #include "efficient.h" - namespace StreamCompaction { namespace Efficient { using StreamCompaction::Common::PerformanceTimer; @@ -13,6 +12,7 @@ namespace StreamCompaction { return timer; } + __global__ void upsweep(int* data, int twod, int twod1, int n) { int index = threadIdx.x + blockIdx.x * blockDim.x; int k = index * twod1; @@ -32,12 +32,11 @@ namespace StreamCompaction { } } - - /** * Performs prefix-sum (aka scan) on idata, storing the result into odata. */ - // Internal version that controls timing + + // Internal version that controls timing void scan_internal(int n, int* odata, const int* idata, bool timing) { if (timing) timer().startGpuTimer(); @@ -74,12 +73,12 @@ namespace StreamCompaction { if (timing) timer().endGpuTimer(); } - void scan(int n, int* odata, const int* idata) { scan_internal(n, odata, idata, true); } + /** * Performs stream compaction on idata, storing the result into odata. * All zeroes are discarded. @@ -90,47 +89,51 @@ namespace StreamCompaction { * @returns The number of elements remaining after compaction. */ int compact(int n, int* odata, const int* idata) { - timer().startGpuTimer(); + int* dev_idata, * dev_bools, * dev_indices, * dev_odata; - int* dev_idata; - int* dev_odata; - int* dev_bools; - int* dev_indices; - - cudaMalloc(&dev_idata, n * sizeof(int)); - cudaMalloc(&dev_odata, n * sizeof(int)); - cudaMalloc(&dev_bools, n * sizeof(int)); - cudaMalloc(&dev_indices, n * sizeof(int)); + int pow2n = 1 << ilog2ceil(n); + cudaMalloc(&dev_idata, pow2n * sizeof(int)); + cudaMalloc(&dev_bools, pow2n * sizeof(int)); + cudaMalloc(&dev_indices, pow2n * sizeof(int)); + cudaMalloc(&dev_odata, pow2n * sizeof(int)); + cudaMemset(dev_odata, 0, pow2n * sizeof(int)); cudaMemcpy(dev_idata, idata, n * sizeof(int), cudaMemcpyHostToDevice); + timer().startGpuTimer(); + int blockSize = 128; int numBlocks = (n + blockSize - 1) / blockSize; - StreamCompaction::Common::kernMapToBoolean << > > (n, dev_bools, dev_idata); + StreamCompaction::Common::kernMapToBoolean << > > ( + n, dev_bools, dev_idata); cudaDeviceSynchronize(); scan_internal(n, dev_indices, dev_bools, false); + cudaDeviceSynchronize(); StreamCompaction::Common::kernScatter << > > ( n, dev_odata, dev_idata, dev_bools, dev_indices); cudaDeviceSynchronize(); + timer().endGpuTimer(); + int count; - int lastBool; cudaMemcpy(&count, dev_indices + n - 1, sizeof(int), cudaMemcpyDeviceToHost); + + int lastBool; cudaMemcpy(&lastBool, dev_bools + n - 1, sizeof(int), cudaMemcpyDeviceToHost); count += lastBool; cudaMemcpy(odata, dev_odata, count * sizeof(int), cudaMemcpyDeviceToHost); cudaFree(dev_idata); - cudaFree(dev_odata); cudaFree(dev_bools); cudaFree(dev_indices); + cudaFree(dev_odata); - timer().endGpuTimer(); return count; } -} + } +} \ No newline at end of file From 7aba256a7dbf041c67ef74e68e735756f1738e0a Mon Sep 17 00:00:00 2001 From: yiliu1237 <150484524+yiliu1237@users.noreply.github.com> Date: Mon, 26 May 2025 06:15:32 -0400 Subject: [PATCH 04/19] update naive.cu --- stream_compaction/naive.cu | 6 ++++-- 1 file changed, 4 insertions(+), 2 deletions(-) diff --git a/stream_compaction/naive.cu b/stream_compaction/naive.cu index 4a6537f..df5818f 100644 --- a/stream_compaction/naive.cu +++ b/stream_compaction/naive.cu @@ -12,6 +12,7 @@ namespace StreamCompaction { return timer; } + //naive inclusive scan __global__ void naiveScanStep(int n, int d, const int* input, int* output) { int k = threadIdx.x + blockIdx.x * blockDim.x; if (k >= n) return; @@ -28,6 +29,7 @@ namespace StreamCompaction { return static_cast(std::ceil(std::log2f(static_cast(x)))); } + //host func void scan(int n, int* odata, const int* idata) { timer().startGpuTimer(); @@ -43,8 +45,8 @@ namespace StreamCompaction { int numBlocks = (n + blockSize - 1) / blockSize; int depth = ilog2ceil(n); - for (int d = 1; d <= depth; ++d) { - naiveScanStep << > > (n, d, dev_ping, dev_pong); + for (int d = 1; d <= depth; d++) { + naiveScanStep<<>>(n, d, dev_ping, dev_pong); cudaDeviceSynchronize(); // Swap buffers From 0bff7bb7121ee7f70f851abc564ace0c00eddd86 Mon Sep 17 00:00:00 2001 From: Yi Liu Date: Mon, 26 May 2025 14:45:09 -0400 Subject: [PATCH 05/19] update radix sort --- src/main.cpp | 148 +++++++++++++++++++++++++++++++++++++ stream_compaction/radix.cu | 73 ++++++++++++++++++ stream_compaction/radix.h | 7 ++ 3 files changed, 228 insertions(+) create mode 100644 stream_compaction/radix.cu create mode 100644 stream_compaction/radix.h diff --git a/src/main.cpp b/src/main.cpp index 896ac2b..b242b7f 100644 --- a/src/main.cpp +++ b/src/main.cpp @@ -11,6 +11,7 @@ #include #include #include +#include #include "testing_helpers.hpp" const int SIZE = 1 << 8; // feel free to change the size of array @@ -147,6 +148,153 @@ int main(int argc, char* argv[]) { //printArray(count, c, true); printCmpLenResult(count, expectedNPOT, b, c); + + + printf("\n"); + printf("***********************\n"); + printf("** RADIX SORT TESTS **\n"); + printf("***********************\n"); + + // Test 1: Random integers + { + const int N = 10; + int input[N] = { 3, 1, 4, 9, 2, 0, 5, 8, 7, 6 }; + int output[N], expected[N]; + memcpy(expected, input, sizeof(int) * N); + std::sort(expected, expected + N); + + StreamCompaction::Radix::sort(N, output, input); + printDesc("radix sort - random ints"); + printArray(N, output, true); + printCmpResult(N, expected, output); + } + + // Test 2: Already sorted + { + const int N = 8; + int input[N] = { 0, 1, 2, 3, 4, 5, 6, 7 }; + int output[N], expected[N]; + memcpy(expected, input, sizeof(int) * N); + + StreamCompaction::Radix::sort(N, output, input); + printDesc("radix sort - already sorted"); + printArray(N, output, true); + printCmpResult(N, expected, output); + } + + // Test 3: Reverse sorted + { + const int N = 8; + int input[N] = { 7, 6, 5, 4, 3, 2, 1, 0 }; + int output[N], expected[N] = { 0, 1, 2, 3, 4, 5, 6, 7 }; + + StreamCompaction::Radix::sort(N, output, input); + printDesc("radix sort - reverse sorted"); + printArray(N, output, true); + printCmpResult(N, expected, output); + } + + // Test 4: All same + { + const int N = 6; + int input[N] = { 42, 42, 42, 42, 42, 42 }; + int output[N], expected[N] = { 42, 42, 42, 42, 42, 42 }; + + StreamCompaction::Radix::sort(N, output, input); + printDesc("radix sort - identical elements"); + printArray(N, output, true); + printCmpResult(N, expected, output); + } + + // Test 5: Contains duplicates + { + const int N = 9; + int input[N] = { 5, 3, 3, 7, 1, 1, 2, 9, 0 }; + int output[N], expected[N]; + memcpy(expected, input, sizeof(int) * N); + std::sort(expected, expected + N); + + StreamCompaction::Radix::sort(N, output, input); + printDesc("radix sort - contains duplicates"); + printArray(N, output, true); + printCmpResult(N, expected, output); + } + + + // Test 6: Large array (power-of-two size) + { + const int N = 1 << 16; // 65536 + int* input = new int[N]; + int* output = new int[N]; + int* expected = new int[N]; + + genArray(N, input, 10000); // Fill with random ints in range [0, 9999] + memcpy(expected, input, sizeof(int) * N); + std::sort(expected, expected + N); + + printDesc("radix sort - large array (pow2)"); + StreamCompaction::Radix::sort(N, output, input); + printElapsedTime(StreamCompaction::Efficient::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); + printCmpResult(N, expected, output); + + delete[] input; + delete[] output; + delete[] expected; + } + + // Test 7: Large array (non-power-of-two size) + { + const int N = (1 << 16) - 17; // 65519 + int* input = new int[N]; + int* output = new int[N]; + int* expected = new int[N]; + + genArray(N, input, 50000); // Wider range of input + memcpy(expected, input, sizeof(int) * N); + std::sort(expected, expected + N); + + printDesc("radix sort - large array (non-pow2)"); + StreamCompaction::Radix::sort(N, output, input); + printElapsedTime(StreamCompaction::Efficient::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); + printCmpResult(N, expected, output); + + delete[] input; + delete[] output; + delete[] expected; + } + + // Test 8: Nearly sorted array with minor disorder + { + const int N = 1 << 14; // 16384 + int* input = new int[N]; + int* output = new int[N]; + int* expected = new int[N]; + + // Generate ascending array + for (int i = 0; i < N; ++i) { + input[i] = i; + } + + // Add small random noise + for (int i = 0; i < 100; ++i) { + int x = rand() % N; + int y = rand() % N; + std::swap(input[x], input[y]); + } + + memcpy(expected, input, sizeof(int) * N); + std::sort(expected, expected + N); + + printDesc("radix sort - nearly sorted with random swaps"); + StreamCompaction::Radix::sort(N, output, input); + printElapsedTime(StreamCompaction::Efficient::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); + printCmpResult(N, expected, output); + + delete[] input; + delete[] output; + delete[] expected; + } + system("pause"); // stop Win32 console from closing on exit delete[] a; delete[] b; diff --git a/stream_compaction/radix.cu b/stream_compaction/radix.cu new file mode 100644 index 0000000..7355cee --- /dev/null +++ b/stream_compaction/radix.cu @@ -0,0 +1,73 @@ +#include +#include +#include "radix.h" +#include "common.h" +#include "efficient.h" // For scan() +#include + +namespace StreamCompaction { + namespace Radix { + + __global__ void kernExtractBit(int n, int bit, int* bitArray, const int* idata) { + int i = threadIdx.x + blockIdx.x * blockDim.x; + if (i < n) { + bitArray[i] = (idata[i] >> bit) & 1; + } + } + + __global__ void kernInvert(int n, int* out, const int* in) { + int i = threadIdx.x + blockIdx.x * blockDim.x; + if (i < n) { + out[i] = 1 - in[i]; + } + } + + __global__ void kernScatterBit(int n, int* odata, const int* idata, + const int* bitArray, const int* falseScan, int totalFalse) { + int i = threadIdx.x + blockIdx.x * blockDim.x; + if (i < n) { + int dest = bitArray[i] == 0 ? falseScan[i] : totalFalse + i - falseScan[i]; + odata[dest] = idata[i]; + } + } + + void sort(int n, int* odata, const int* idata) { + int* dev_in, * dev_out, * dev_bits, * dev_notBits, * dev_scan; + int blockSize = 128; + int numBlocks = (n + blockSize - 1) / blockSize; + + cudaMalloc(&dev_in, n * sizeof(int)); + cudaMalloc(&dev_out, n * sizeof(int)); + cudaMalloc(&dev_bits, n * sizeof(int)); + cudaMalloc(&dev_notBits, n * sizeof(int)); + cudaMalloc(&dev_scan, n * sizeof(int)); + + cudaMemcpy(dev_in, idata, n * sizeof(int), cudaMemcpyHostToDevice); + + for (int bit = 0; bit < 32; ++bit) { + kernExtractBit << > > (n, bit, dev_bits, dev_in); + kernInvert << > > (n, dev_notBits, dev_bits); + StreamCompaction::Efficient::scan(n, dev_scan, dev_notBits); + + int totalFalse; + int lastBool; + cudaMemcpy(&totalFalse, dev_scan + n - 1, sizeof(int), cudaMemcpyDeviceToHost); + cudaMemcpy(&lastBool, dev_notBits + n - 1, sizeof(int), cudaMemcpyDeviceToHost); + totalFalse += lastBool; + + kernScatterBit << > > (n, dev_out, dev_in, + dev_bits, dev_scan, totalFalse); + + std::swap(dev_in, dev_out); // next iteration reads from new sorted array + } + + cudaMemcpy(odata, dev_in, n * sizeof(int), cudaMemcpyDeviceToHost); + + cudaFree(dev_in); + cudaFree(dev_out); + cudaFree(dev_bits); + cudaFree(dev_notBits); + cudaFree(dev_scan); + } + } +} diff --git a/stream_compaction/radix.h b/stream_compaction/radix.h new file mode 100644 index 0000000..802fa51 --- /dev/null +++ b/stream_compaction/radix.h @@ -0,0 +1,7 @@ +#pragma once + +namespace StreamCompaction { + namespace Radix { + void sort(int n, int* odata, const int* idata); + } +} From 892cf8c1d55db1399f05950c689a1de462f30f29 Mon Sep 17 00:00:00 2001 From: Yi Liu Date: Mon, 26 May 2025 16:00:51 -0400 Subject: [PATCH 06/19] update shared mem scan --- src/main.cpp | 53 ++++++++++++++++ stream_compaction/sharedmem.cu | 108 +++++++++++++++++++++++++++++++++ stream_compaction/sharedmem.h | 13 ++++ 3 files changed, 174 insertions(+) create mode 100644 stream_compaction/sharedmem.cu create mode 100644 stream_compaction/sharedmem.h diff --git a/src/main.cpp b/src/main.cpp index b242b7f..6631d99 100644 --- a/src/main.cpp +++ b/src/main.cpp @@ -12,6 +12,7 @@ #include #include #include +#include #include "testing_helpers.hpp" const int SIZE = 1 << 8; // feel free to change the size of array @@ -295,6 +296,58 @@ int main(int argc, char* argv[]) { delete[] expected; } + + printf("\n"); + printf("***************************************\n"); + printf("** SHARED MEMORY SCAN TESTS (NAIVE) **\n"); + printf("***************************************\n"); + + zeroArray(SIZE, c); + printDesc("shared memory naive scan, power-of-two"); + StreamCompaction::SharedMem::scanNaive(SIZE, c, a); + printCmpResult(SIZE, b, c); + + zeroArray(SIZE, c); + printDesc("shared memory naive scan, non-power-of-two"); + StreamCompaction::SharedMem::scanNaive(NPOT, c, a); + printCmpResult(NPOT, b, c); + + { + const int N = 32; + int input[N], output[N], expected[N]; + for (int i = 0; i < N; ++i) input[i] = i % 5; + StreamCompaction::CPU::scan(N, expected, input); + StreamCompaction::SharedMem::scanNaive(N, output, input); + printDesc("shared memory naive scan, small manual"); + printCmpResult(N, expected, output); + } + + printf("\n"); + printf("*********************************************\n"); + printf("** SHARED MEMORY SCAN TESTS (EFFICIENT) **\n"); + printf("*********************************************\n"); + + zeroArray(SIZE, c); + printDesc("shared memory efficient scan, power-of-two"); + StreamCompaction::SharedMem::scanEfficient(SIZE, c, a); + printCmpResult(SIZE, b, c); + + zeroArray(SIZE, c); + printDesc("shared memory efficient scan, non-power-of-two"); + StreamCompaction::SharedMem::scanEfficient(NPOT, c, a); + printCmpResult(NPOT, b, c); + + { + const int N = 32; + int input[N], output[N], expected[N]; + for (int i = 0; i < N; ++i) input[i] = (i + 3) % 7; + StreamCompaction::CPU::scan(N, expected, input); + StreamCompaction::SharedMem::scanEfficient(N, output, input); + printDesc("shared memory efficient scan, small manual"); + printCmpResult(N, expected, output); + } + + system("pause"); // stop Win32 console from closing on exit delete[] a; delete[] b; diff --git a/stream_compaction/sharedmem.cu b/stream_compaction/sharedmem.cu new file mode 100644 index 0000000..54d1085 --- /dev/null +++ b/stream_compaction/sharedmem.cu @@ -0,0 +1,108 @@ +#include +#include +#include "sharedmem.h" + +namespace StreamCompaction { + namespace SharedMem { + + // ---------------- Efficient Shared Memory Scan ------------------ + __global__ void scanSharedEfficientKernel(int* odata, const int* idata, int n) { + extern __shared__ int temp[]; + int tid = threadIdx.x; + + if (2 * tid < n) temp[2 * tid] = idata[2 * tid]; + if (2 * tid + 1 < n) temp[2 * tid + 1] = idata[2 * tid + 1]; + + __syncthreads(); + + int offset = 1; + for (int d = n >> 1; d > 0; d >>= 1) { + __syncthreads(); + if (tid < d) { + int ai = offset * (2 * tid + 1) - 1; + int bi = offset * (2 * tid + 2) - 1; + if (bi < n) temp[bi] += temp[ai]; + } + offset <<= 1; + } + + if (tid == 0 && n > 0) temp[n - 1] = 0; + + for (int d = 1; d < n; d <<= 1) { + offset >>= 1; + __syncthreads(); + if (tid < d) { + int ai = offset * (2 * tid + 1) - 1; + int bi = offset * (2 * tid + 2) - 1; + if (bi < n) { + int t = temp[ai]; + temp[ai] = temp[bi]; + temp[bi] += t; + } + } + } + + __syncthreads(); + + if (2 * tid < n) odata[2 * tid] = (2 * tid == 0) ? 0 : temp[2 * tid - 1]; + if (2 * tid + 1 < n) odata[2 * tid + 1] = temp[2 * tid]; + } + + void scanEfficient(int n, int* odata, const int* idata) { + int* dev_in, * dev_out; + cudaMalloc(&dev_in, n * sizeof(int)); + cudaMalloc(&dev_out, n * sizeof(int)); + cudaMemcpy(dev_in, idata, n * sizeof(int), cudaMemcpyHostToDevice); + + int threads = (n + 1) / 2; + scanSharedEfficientKernel << <1, threads, sizeof(int)* n >> > (dev_out, dev_in, n); + cudaDeviceSynchronize(); + + cudaMemcpy(odata, dev_out, n * sizeof(int), cudaMemcpyDeviceToHost); + cudaFree(dev_in); + cudaFree(dev_out); + } + + // ---------------- Naive Shared Memory Scan ------------------ + __global__ void scanSharedNaiveKernel(int* odata, const int* idata, int n) { + extern __shared__ int temp[]; + int tid = threadIdx.x; + + if (tid < n) { + temp[tid] = idata[tid]; + } + __syncthreads(); + + for (int offset = 1; offset < n; offset *= 2) { + int val = 0; + if (tid >= offset && tid < n) { + val = temp[tid - offset]; + } + __syncthreads(); + if (tid >= offset && tid < n) { + temp[tid] += val; + } + __syncthreads(); + } + + if (tid < n) { + odata[tid] = (tid == 0) ? 0 : temp[tid - 1]; + } + } + + void scanNaive(int n, int* odata, const int* idata) { + int* dev_in, * dev_out; + cudaMalloc(&dev_in, n * sizeof(int)); + cudaMalloc(&dev_out, n * sizeof(int)); + cudaMemcpy(dev_in, idata, n * sizeof(int), cudaMemcpyHostToDevice); + + scanSharedNaiveKernel << <1, n, sizeof(int)* n >> > (dev_out, dev_in, n); + cudaDeviceSynchronize(); + + cudaMemcpy(odata, dev_out, n * sizeof(int), cudaMemcpyDeviceToHost); + cudaFree(dev_in); + cudaFree(dev_out); + } + + } // namespace SharedMem +} // namespace StreamCompaction \ No newline at end of file diff --git a/stream_compaction/sharedmem.h b/stream_compaction/sharedmem.h new file mode 100644 index 0000000..f63fec7 --- /dev/null +++ b/stream_compaction/sharedmem.h @@ -0,0 +1,13 @@ +#pragma once + +namespace StreamCompaction { + namespace SharedMem { + + // Work-efficient scan using shared memory (Blelloch scan) + void scanEfficient(int n, int* odata, const int* idata); + + // Naive scan using shared memory (work-inefficient, O(n log n)) + void scanNaive(int n, int* odata, const int* idata); + + } +} \ No newline at end of file From f164d39978ae324f6893b5b9608698e6acf14c30 Mon Sep 17 00:00:00 2001 From: Yi Liu Date: Wed, 28 May 2025 17:22:46 -0400 Subject: [PATCH 07/19] update ec shared mem --- src/main.cpp | 238 ++++++++++++++++++------ src/scan_timing_results.csv | 0 stream_compaction/cpu.cu | 1 + stream_compaction/efficient.cu | 2 +- stream_compaction/naive.cu | 15 +- stream_compaction/sharedefficientmem.cu | 156 ++++++++++++++++ stream_compaction/sharedefficientmem.h | 14 ++ stream_compaction/sharedmem.cu | 108 ----------- stream_compaction/sharedmem.h | 13 -- stream_compaction/sharednaivemem.cu | 138 ++++++++++++++ stream_compaction/sharednaivemem.h | 13 ++ visualization/scan_performance_plot.png | Bin 0 -> 109334 bytes visualization/scan_timing_results.csv | 12 ++ visualization/visual.py | 39 ++++ 14 files changed, 565 insertions(+), 184 deletions(-) create mode 100644 src/scan_timing_results.csv create mode 100644 stream_compaction/sharedefficientmem.cu create mode 100644 stream_compaction/sharedefficientmem.h delete mode 100644 stream_compaction/sharedmem.cu delete mode 100644 stream_compaction/sharedmem.h create mode 100644 stream_compaction/sharednaivemem.cu create mode 100644 stream_compaction/sharednaivemem.h create mode 100644 visualization/scan_performance_plot.png create mode 100644 visualization/scan_timing_results.csv create mode 100644 visualization/visual.py diff --git a/src/main.cpp b/src/main.cpp index 6631d99..7aff3f9 100644 --- a/src/main.cpp +++ b/src/main.cpp @@ -1,4 +1,4 @@ -/** +/** * @file main.cpp * @brief Stream compaction test program * @authors Kai Ninomiya @@ -12,15 +12,106 @@ #include #include #include -#include +#include +#include #include "testing_helpers.hpp" + + +#include +#include +#include +#include // C++17 required +#include // For _getcwd() + const int SIZE = 1 << 8; // 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]; int *c = new int[SIZE]; + +void ensureFileExists(const std::string& filename) { + std::ifstream infile(filename); + if (!infile.good()) { + std::ofstream outfile(filename); // Create the file + if (outfile) { + std::cout << "[INFO] File created: " << filename << std::endl; + } + else { + std::cerr << "[ERROR] Failed to create file: " << filename << std::endl; + } + } + else { + std::cout << "[INFO] File already exists: " << filename << std::endl; + } +} + +void benchmarkScans() { + const std::string filename = "C:\\Users\\thero\\OneDrive\\Documents\\GitHub\\Project2-Stream-Compaction\\visualization\\scan_timing_results.csv"; + ensureFileExists(filename); + + std::ofstream fout(filename); + fout << "N,CPU(ms),Naive(ms),Efficient(ms),Thrust(ms)" << std::endl; + + char cwd[1024]; + _getcwd(cwd, sizeof(cwd)); // current working directory + std::string fullPath = std::string(cwd) + "\\" + filename; + std::cout << "[DEBUG] Attempting to write to: " << fullPath << std::endl; + + if (!fout.is_open()) { + std::cerr << "[ERROR] Failed to open scan_timing_results.csv for writing." << std::endl; + return; + } + + for (int exp = 15; exp <= 25; exp++) { // Increase range for more realistic timings + int N = 1 << exp; + + int* input = new int[N]; + int* output = new int[N]; + + genArray(N, input, 10000); // Fill with random integers + + // CPU scan + zeroArray(N, output); + StreamCompaction::CPU::scan(N, output, input); + cudaDeviceSynchronize(); + float cpuTime = StreamCompaction::CPU::timer().getCpuElapsedTimeForPreviousOperation(); + + // Naive scan + zeroArray(N, output); + StreamCompaction::Naive::scan(N, output, input); + cudaDeviceSynchronize(); + float naiveTime = StreamCompaction::Naive::timer().getGpuElapsedTimeForPreviousOperation(); + + // Efficient scan + zeroArray(N, output); + StreamCompaction::Efficient::scan(N, output, input); + cudaDeviceSynchronize(); + float efficientTime = StreamCompaction::Efficient::timer().getGpuElapsedTimeForPreviousOperation(); + + + // Thrust scan. ERROR + //zeroArray(N, output); + //StreamCompaction::Thrust::scan(N, output, input); + //cudaDeviceSynchronize(); + //float thrustTime = StreamCompaction::Thrust::timer().getGpuElapsedTimeForPreviousOperation(); + + std::cout << N << "," << cpuTime << "," << naiveTime << "," << efficientTime << "," << std::endl; + + + fout << N << "," << cpuTime << "," << naiveTime << "," << efficientTime << "," << std::endl; + + delete[] input; + delete[] output; + } + + fout.close(); + printf("Scan timing results written to scan_timing_results.csv\n"); +} + + + int main(int argc, char* argv[]) { // Scan tests @@ -97,6 +188,50 @@ int main(int argc, char* argv[]) { //printArray(NPOT, c, true); printCmpResult(NPOT, b, c); + + zeroArray(SIZE, c); + printDesc("shared memory naive scan, power-of-two"); + StreamCompaction::SharedNaiveMem::scanSharedNaive(SIZE, c, a); + printElapsedTime(StreamCompaction::SharedNaiveMem::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); + printCmpResult(SIZE, b, c); + + zeroArray(SIZE, c); + printDesc("shared memory naive scan, non-power-of-two"); + StreamCompaction::SharedNaiveMem::scanSharedNaive(NPOT, c, a); + printElapsedTime(StreamCompaction::SharedEfficientMem::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); + printCmpResult(NPOT, b, c); + + { + const int N = 32; + int input[N], output[N], expected[N]; + for (int i = 0; i < N; ++i) input[i] = i % 5; + printDesc("shared memory naive scan, small manual"); + StreamCompaction::CPU::scan(N, expected, input); + StreamCompaction::SharedNaiveMem::scanSharedNaive(N, output, input); + printElapsedTime(StreamCompaction::SharedEfficientMem::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); + printArray(N, output, true); + printCmpResult(N, expected, output); + } + + + zeroArray(SIZE, c); + printDesc("shared memory efficient scan, power-of-two"); + StreamCompaction::SharedEfficientMem::scanSharedEfficient(SIZE, c, a); + printElapsedTime(StreamCompaction::SharedEfficientMem::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); + printCmpResult(SIZE, b, c); + + + { + const int N = 32; + int input[N], output[N], expected[N]; + for (int i = 0; i < N; ++i) input[i] = i % 4; + StreamCompaction::CPU::scan(N, expected, input); + StreamCompaction::SharedEfficientMem::scanSharedEfficient(N, output, input); + printDesc("shared memory efficient scan, small manual"); + printCmpResult(N, expected, output); + } + + printf("\n"); printf("*****************************\n"); printf("** STREAM COMPACTION TESTS **\n"); @@ -139,17 +274,61 @@ int main(int argc, char* argv[]) { printDesc("work-efficient compact, power-of-two"); count = StreamCompaction::Efficient::compact(SIZE, c, a); printElapsedTime(StreamCompaction::Efficient::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); - //printArray(count, c, true); + printArray(count, c, true); printCmpLenResult(count, expectedCount, b, c); zeroArray(SIZE, c); printDesc("work-efficient compact, non-power-of-two"); count = StreamCompaction::Efficient::compact(NPOT, c, a); printElapsedTime(StreamCompaction::Efficient::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); - //printArray(count, c, true); + printArray(count, c, true); printCmpLenResult(count, expectedNPOT, b, c); + ////// ERROR STARTS + // + //zeroArray(SIZE, c); + //printDesc("shared mem naive compact, power-of-two"); + //count = StreamCompaction::SharedNaiveMem::compactNaive(SIZE, c, a); + //printElapsedTime(StreamCompaction::SharedNaiveMem::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); + //printArray(count, c, true); + //printCmpLenResult(count, expectedCount, b, c); + + //zeroArray(SIZE, c); + //printDesc("shared mem naive compact, non-power-of-two"); + //count = StreamCompaction::SharedNaiveMem::compactNaive(NPOT, c, a); + //printElapsedTime(StreamCompaction::SharedNaiveMem::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); + //printArray(count, c, true); + //printCmpLenResult(count, expectedNPOT, b, c); + + + //zeroArray(SIZE, c); + //printDesc("shared mem efficient compact, power-of-two"); + //count = StreamCompaction::SharedEfficientMem::compactEfficient(SIZE, c, a); + //printElapsedTime(StreamCompaction::SharedEfficientMem::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); + //printArray(count, c, true); + //printCmpLenResult(count, expectedCount, b, c); + + //zeroArray(SIZE, c); + //printDesc("shared mem efficient compact, non-power-of-two"); + //count = StreamCompaction::SharedEfficientMem::compactEfficient(NPOT, c, a); + //printElapsedTime(StreamCompaction::SharedEfficientMem::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); + //printArray(count, c, true); + //printCmpLenResult(count, expectedNPOT, b, c); + + //{ + // const int N = 32; + // int input[N], output[N], expected[N]; + // for (int i = 0; i < N; ++i) input[i] = (i + 3) % 7; + // StreamCompaction::CPU::compactWithScan(N, expected, input); + // StreamCompaction::SharedEfficientMem::compactEfficient(N, output, input); + // printDesc("shared memory efficient scan, small manual"); + // printCmpResult(N, expected, output); + //} + + ////// ERROR ENDS + + printf("\n"); printf("***********************\n"); @@ -296,56 +475,7 @@ int main(int argc, char* argv[]) { delete[] expected; } - - printf("\n"); - printf("***************************************\n"); - printf("** SHARED MEMORY SCAN TESTS (NAIVE) **\n"); - printf("***************************************\n"); - - zeroArray(SIZE, c); - printDesc("shared memory naive scan, power-of-two"); - StreamCompaction::SharedMem::scanNaive(SIZE, c, a); - printCmpResult(SIZE, b, c); - - zeroArray(SIZE, c); - printDesc("shared memory naive scan, non-power-of-two"); - StreamCompaction::SharedMem::scanNaive(NPOT, c, a); - printCmpResult(NPOT, b, c); - - { - const int N = 32; - int input[N], output[N], expected[N]; - for (int i = 0; i < N; ++i) input[i] = i % 5; - StreamCompaction::CPU::scan(N, expected, input); - StreamCompaction::SharedMem::scanNaive(N, output, input); - printDesc("shared memory naive scan, small manual"); - printCmpResult(N, expected, output); - } - - printf("\n"); - printf("*********************************************\n"); - printf("** SHARED MEMORY SCAN TESTS (EFFICIENT) **\n"); - printf("*********************************************\n"); - - zeroArray(SIZE, c); - printDesc("shared memory efficient scan, power-of-two"); - StreamCompaction::SharedMem::scanEfficient(SIZE, c, a); - printCmpResult(SIZE, b, c); - - zeroArray(SIZE, c); - printDesc("shared memory efficient scan, non-power-of-two"); - StreamCompaction::SharedMem::scanEfficient(NPOT, c, a); - printCmpResult(NPOT, b, c); - - { - const int N = 32; - int input[N], output[N], expected[N]; - for (int i = 0; i < N; ++i) input[i] = (i + 3) % 7; - StreamCompaction::CPU::scan(N, expected, input); - StreamCompaction::SharedMem::scanEfficient(N, output, input); - printDesc("shared memory efficient scan, small manual"); - printCmpResult(N, expected, output); - } + benchmarkScans(); system("pause"); // stop Win32 console from closing on exit diff --git a/src/scan_timing_results.csv b/src/scan_timing_results.csv new file mode 100644 index 0000000..e69de29 diff --git a/stream_compaction/cpu.cu b/stream_compaction/cpu.cu index 0d8d5e8..ebc7470 100644 --- a/stream_compaction/cpu.cu +++ b/stream_compaction/cpu.cu @@ -81,6 +81,7 @@ namespace StreamCompaction { delete[] bools; delete[] indices; + return count; } } diff --git a/stream_compaction/efficient.cu b/stream_compaction/efficient.cu index 519acff..f6a6f6e 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. */ - // Internal version that controls timing + // Internal version that controls timing void scan_internal(int n, int* odata, const int* idata, bool timing) { if (timing) timer().startGpuTimer(); diff --git a/stream_compaction/naive.cu b/stream_compaction/naive.cu index df5818f..1fc6b94 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; @@ -25,13 +27,8 @@ namespace StreamCompaction { } } - int ilog2ceil(int x) { - return static_cast(std::ceil(std::log2f(static_cast(x)))); - } - //host func void scan(int n, int* odata, const int* idata) { - timer().startGpuTimer(); int* dev_ping; int* dev_pong; @@ -41,17 +38,20 @@ namespace StreamCompaction { cudaMemcpy(dev_ping, idata, n * sizeof(int), cudaMemcpyHostToDevice); - int blockSize = 128; + int blockSize = 1024; int numBlocks = (n + blockSize - 1) / blockSize; int depth = ilog2ceil(n); + + timer().startGpuTimer(); for (int d = 1; d <= depth; d++) { naiveScanStep<<>>(n, d, dev_ping, dev_pong); - cudaDeviceSynchronize(); + //cudaDeviceSynchronize(); // Swap buffers std::swap(dev_ping, dev_pong); } + timer().endGpuTimer(); // dev_ping now has the inclusive scan result // Convert to exclusive scan @@ -61,7 +61,6 @@ namespace StreamCompaction { cudaFree(dev_ping); cudaFree(dev_pong); - timer().endGpuTimer(); } } } diff --git a/stream_compaction/sharedefficientmem.cu b/stream_compaction/sharedefficientmem.cu new file mode 100644 index 0000000..9b9e775 --- /dev/null +++ b/stream_compaction/sharedefficientmem.cu @@ -0,0 +1,156 @@ +#include +#include +#include +#include "common.h" +#include "sharedefficientmem.h" + + + +namespace StreamCompaction { + namespace SharedEfficientMem { + using StreamCompaction::Common::PerformanceTimer; + PerformanceTimer& timer() + { + static PerformanceTimer timer; + return timer; + } + + __global__ void scanSharedEfficientKernel(int* odata, const int* idata, int n) { + extern __shared__ int temp[]; // allocated on invocation + int thid = threadIdx.x; + int offset = 1; + + int ai = thid; + int bi = thid + (n / 2); + + // Load input into shared memory + temp[ai] = idata[ai]; + temp[bi] = idata[bi]; + + // Up-Sweep (Reduce) phase + for (int d = n >> 1; d > 0; d >>= 1) { + __syncthreads(); + if (thid < d) { + int ai = offset * (2 * thid + 1) - 1; + int bi = offset * (2 * thid + 2) - 1; + temp[bi] += temp[ai]; + } + offset *= 2; + } + + // Clear the last element + if (thid == 0) { + temp[n - 1] = 0; + } + + // Down-Sweep phase + for (int d = 1; d < n; d *= 2) { + offset >>= 1; + __syncthreads(); + if (thid < d) { + int ai = offset * (2 * thid + 1) - 1; + int bi = offset * (2 * thid + 2) - 1; + + int t = temp[ai]; + temp[ai] = temp[bi]; + temp[bi] += t; + } + } + __syncthreads(); + + // Write results to device memory + odata[ai] = temp[ai]; + odata[bi] = temp[bi]; + } + + void scanSharedEfficient(int n, int* odata, const int* idata) { + if (n > 1024 || (n & (n - 1)) != 0) { + std::cerr << "[ERROR] scanSharedEfficient only supports up to 1024 elements and power-of-two sizes." << std::endl; + return; + } + + int* dev_idata = nullptr; + int* dev_odata = nullptr; + + cudaMalloc(&dev_idata, n * sizeof(int)); + cudaMalloc(&dev_odata, n * sizeof(int)); + cudaMemcpy(dev_idata, idata, n * sizeof(int), cudaMemcpyHostToDevice); + + int blockSize = n / 2; + int sharedMemSize = n * sizeof(int); + + timer().startGpuTimer(); + scanSharedEfficientKernel<<<1, blockSize, sharedMemSize>>>(dev_odata, dev_idata, n); + timer().endGpuTimer(); + + cudaMemcpy(odata, dev_odata, n * sizeof(int), cudaMemcpyDeviceToHost); + + cudaFree(dev_idata); + cudaFree(dev_odata); + } + + + + __global__ void kernMapToBoolean(int n, int* bools, const int* idata) { + int i = threadIdx.x + blockIdx.x * blockDim.x; + if (i >= n) return; + bools[i] = (idata[i] != 0) ? 1 : 0; + } + + __global__ void kernScatter(int n, int* odata, const int* idata, const int* bools, const int* indices) { + int i = threadIdx.x + blockIdx.x * blockDim.x; + if (i >= n) return; + if (bools[i] == 1) { + odata[indices[i]] = idata[i]; + } + } + + int compactEfficient(int n, int* odata, const int* idata) { + if (n > 1024 || (n & (n - 1)) != 0) { + std::cerr << "[ERROR] compactEfficient only supports up to 1024 power-of-two elements." << std::endl; + return 0; + } + + int* dev_idata, * dev_bools, * dev_indices, * dev_odata; + cudaMalloc(&dev_idata, n * sizeof(int)); + cudaMalloc(&dev_bools, n * sizeof(int)); + cudaMalloc(&dev_indices, n * sizeof(int)); + cudaMalloc(&dev_odata, n * sizeof(int)); + + cudaMemcpy(dev_idata, idata, n * sizeof(int), cudaMemcpyHostToDevice); + + int blockSize = 1024; + int numBlocks = (n + blockSize - 1) / blockSize; + + timer().startGpuTimer(); + + // 1. Map to boolean + kernMapToBoolean<<>>(n, dev_bools, dev_idata); + cudaDeviceSynchronize(); + + // 2. Scan boolean array + scanSharedEfficient(n, dev_indices, dev_bools); + cudaDeviceSynchronize(); + + // 3. Scatter + kernScatter<<>>(n, dev_odata, dev_idata, dev_bools, dev_indices); + cudaDeviceSynchronize(); + + timer().endGpuTimer(); + + int lastBool, lastIndex; + cudaMemcpy(&lastBool, dev_bools + n - 1, sizeof(int), cudaMemcpyDeviceToHost); + cudaMemcpy(&lastIndex, dev_indices + n - 1, sizeof(int), cudaMemcpyDeviceToHost); + int total = lastBool + lastIndex; + + cudaMemcpy(odata, dev_odata, total * sizeof(int), cudaMemcpyDeviceToHost); + + cudaFree(dev_idata); + cudaFree(dev_bools); + cudaFree(dev_indices); + cudaFree(dev_odata); + + return total; + } + } +} diff --git a/stream_compaction/sharedefficientmem.h b/stream_compaction/sharedefficientmem.h new file mode 100644 index 0000000..41856b2 --- /dev/null +++ b/stream_compaction/sharedefficientmem.h @@ -0,0 +1,14 @@ +#pragma once + +#include "common.h" + +namespace StreamCompaction { + namespace SharedEfficientMem { + + StreamCompaction::Common::PerformanceTimer& timer(); + + void scanSharedEfficient(int n, int* odata, const int* idata); + + int compactEfficient(int n, int* odata, const int* idata); + } +} diff --git a/stream_compaction/sharedmem.cu b/stream_compaction/sharedmem.cu deleted file mode 100644 index 54d1085..0000000 --- a/stream_compaction/sharedmem.cu +++ /dev/null @@ -1,108 +0,0 @@ -#include -#include -#include "sharedmem.h" - -namespace StreamCompaction { - namespace SharedMem { - - // ---------------- Efficient Shared Memory Scan ------------------ - __global__ void scanSharedEfficientKernel(int* odata, const int* idata, int n) { - extern __shared__ int temp[]; - int tid = threadIdx.x; - - if (2 * tid < n) temp[2 * tid] = idata[2 * tid]; - if (2 * tid + 1 < n) temp[2 * tid + 1] = idata[2 * tid + 1]; - - __syncthreads(); - - int offset = 1; - for (int d = n >> 1; d > 0; d >>= 1) { - __syncthreads(); - if (tid < d) { - int ai = offset * (2 * tid + 1) - 1; - int bi = offset * (2 * tid + 2) - 1; - if (bi < n) temp[bi] += temp[ai]; - } - offset <<= 1; - } - - if (tid == 0 && n > 0) temp[n - 1] = 0; - - for (int d = 1; d < n; d <<= 1) { - offset >>= 1; - __syncthreads(); - if (tid < d) { - int ai = offset * (2 * tid + 1) - 1; - int bi = offset * (2 * tid + 2) - 1; - if (bi < n) { - int t = temp[ai]; - temp[ai] = temp[bi]; - temp[bi] += t; - } - } - } - - __syncthreads(); - - if (2 * tid < n) odata[2 * tid] = (2 * tid == 0) ? 0 : temp[2 * tid - 1]; - if (2 * tid + 1 < n) odata[2 * tid + 1] = temp[2 * tid]; - } - - void scanEfficient(int n, int* odata, const int* idata) { - int* dev_in, * dev_out; - cudaMalloc(&dev_in, n * sizeof(int)); - cudaMalloc(&dev_out, n * sizeof(int)); - cudaMemcpy(dev_in, idata, n * sizeof(int), cudaMemcpyHostToDevice); - - int threads = (n + 1) / 2; - scanSharedEfficientKernel << <1, threads, sizeof(int)* n >> > (dev_out, dev_in, n); - cudaDeviceSynchronize(); - - cudaMemcpy(odata, dev_out, n * sizeof(int), cudaMemcpyDeviceToHost); - cudaFree(dev_in); - cudaFree(dev_out); - } - - // ---------------- Naive Shared Memory Scan ------------------ - __global__ void scanSharedNaiveKernel(int* odata, const int* idata, int n) { - extern __shared__ int temp[]; - int tid = threadIdx.x; - - if (tid < n) { - temp[tid] = idata[tid]; - } - __syncthreads(); - - for (int offset = 1; offset < n; offset *= 2) { - int val = 0; - if (tid >= offset && tid < n) { - val = temp[tid - offset]; - } - __syncthreads(); - if (tid >= offset && tid < n) { - temp[tid] += val; - } - __syncthreads(); - } - - if (tid < n) { - odata[tid] = (tid == 0) ? 0 : temp[tid - 1]; - } - } - - void scanNaive(int n, int* odata, const int* idata) { - int* dev_in, * dev_out; - cudaMalloc(&dev_in, n * sizeof(int)); - cudaMalloc(&dev_out, n * sizeof(int)); - cudaMemcpy(dev_in, idata, n * sizeof(int), cudaMemcpyHostToDevice); - - scanSharedNaiveKernel << <1, n, sizeof(int)* n >> > (dev_out, dev_in, n); - cudaDeviceSynchronize(); - - cudaMemcpy(odata, dev_out, n * sizeof(int), cudaMemcpyDeviceToHost); - cudaFree(dev_in); - cudaFree(dev_out); - } - - } // namespace SharedMem -} // namespace StreamCompaction \ No newline at end of file diff --git a/stream_compaction/sharedmem.h b/stream_compaction/sharedmem.h deleted file mode 100644 index f63fec7..0000000 --- a/stream_compaction/sharedmem.h +++ /dev/null @@ -1,13 +0,0 @@ -#pragma once - -namespace StreamCompaction { - namespace SharedMem { - - // Work-efficient scan using shared memory (Blelloch scan) - void scanEfficient(int n, int* odata, const int* idata); - - // Naive scan using shared memory (work-inefficient, O(n log n)) - void scanNaive(int n, int* odata, const int* idata); - - } -} \ No newline at end of file diff --git a/stream_compaction/sharednaivemem.cu b/stream_compaction/sharednaivemem.cu new file mode 100644 index 0000000..d1c4198 --- /dev/null +++ b/stream_compaction/sharednaivemem.cu @@ -0,0 +1,138 @@ +#include +#include +#include +#include "common.h" +#include "sharednaivemem.h" + +namespace StreamCompaction { + namespace SharedNaiveMem { + using StreamCompaction::Common::PerformanceTimer; + PerformanceTimer& timer() + { + static PerformanceTimer timer; + return timer; + } + + __global__ void scanSharedNaiveKernel(int* odata, const int* idata, int n) { + extern __shared__ int temp[]; // size = 2 * blockDim.x * sizeof(int) + int tid = threadIdx.x; + int pout = 0, pin = 1; + + if (tid < n) { + // exclusive scan: shift input right and insert 0 at beginning + temp[pout * n + tid] = (tid > 0) ? idata[tid - 1] : 0; + } + __syncthreads(); + + for (int offset = 1; offset < n; offset *= 2) { + pout = 1 - pout; // swap ping-pong buffers + pin = 1 - pout; + + if (tid < n) { + if (tid >= offset) + temp[pout * n + tid] = temp[pin * n + tid - offset] + temp[pin * n + tid]; + else + temp[pout * n + tid] = temp[pin * n + tid]; + } + __syncthreads(); + } + + if (tid < n) { + odata[tid] = temp[pout * n + tid]; + } + } + + + __global__ void kernMapToBoolean(int n, int* bools, const int* idata) { + int i = threadIdx.x + blockIdx.x * blockDim.x; + if (i >= n) return; + bools[i] = (idata[i] != 0) ? 1 : 0; + } + + __global__ void kernScatter(int n, int* odata, const int* idata, const int* bools, const int* indices) { + int i = threadIdx.x + blockIdx.x * blockDim.x; + if (i >= n) return; + if (bools[i] == 1) { + odata[indices[i]] = idata[i]; + } + } + + + void scanSharedNaive(int n, int* odata, const int* idata) { + if (n > 1024) { + std::cerr << "[ERROR] scanSharedNaive only supports up to 1024 elements (1 block)." << std::endl; + return; + } + + int* dev_idata = nullptr; + int* dev_odata = nullptr; + + cudaMalloc(&dev_idata, n * sizeof(int)); + cudaMalloc(&dev_odata, n * sizeof(int)); + cudaMemcpy(dev_idata, idata, n * sizeof(int), cudaMemcpyHostToDevice); + + int blockSize = n; + int sharedMemSize = 2 * blockSize * sizeof(int); // double buffer + + timer().startGpuTimer(); + scanSharedNaiveKernel<<<1, blockSize, sharedMemSize>>>(dev_odata, dev_idata, n); + timer().endGpuTimer(); + cudaMemcpy(odata, dev_odata, n * sizeof(int), cudaMemcpyDeviceToHost); + + cudaFree(dev_idata); + cudaFree(dev_odata); + } + + int compactNaive(int n, int* odata, const int* idata) { + if (n > 1024) { + std::cerr << "[ERROR] compactNaive only supports up to 1024 elements (1 block)." << std::endl; + return 0; + } + + int* dev_idata, * dev_bools, * dev_indices, * dev_odata; + cudaMalloc(&dev_idata, n * sizeof(int)); + cudaMalloc(&dev_bools, n * sizeof(int)); + cudaMalloc(&dev_indices, n * sizeof(int)); + cudaMalloc(&dev_odata, n * sizeof(int)); + + cudaMemcpy(dev_idata, idata, n * sizeof(int), cudaMemcpyHostToDevice); + + int blockSize = 1024; + int numBlocks = (n + blockSize - 1) / blockSize; + + + timer().startGpuTimer(); + + // 1. Map to boolean + kernMapToBoolean<<>>(n, dev_bools, dev_idata); + cudaDeviceSynchronize(); + + // 2. Scan boolean array + scanSharedNaive(n, dev_indices, dev_bools); + cudaDeviceSynchronize(); + + // 3. Scatter + kernScatter<<>>(n, dev_odata, dev_idata, dev_bools, dev_indices); + cudaDeviceSynchronize(); + + timer().endGpuTimer(); + + // Copy back + int lastBool = 0, lastIndex = 0; + cudaMemcpy(&lastBool, dev_bools + n - 1, sizeof(int), cudaMemcpyDeviceToHost); + cudaMemcpy(&lastIndex, dev_indices + n - 1, sizeof(int), cudaMemcpyDeviceToHost); + int total = lastBool + lastIndex; + + cudaMemcpy(odata, dev_odata, total * sizeof(int), cudaMemcpyDeviceToHost); + + cudaFree(dev_idata); + cudaFree(dev_bools); + cudaFree(dev_indices); + cudaFree(dev_odata); + + return total; + } + + + } // namespace SharedNaiveMem +} // namespace StreamCompaction diff --git a/stream_compaction/sharednaivemem.h b/stream_compaction/sharednaivemem.h new file mode 100644 index 0000000..b4b9b9b --- /dev/null +++ b/stream_compaction/sharednaivemem.h @@ -0,0 +1,13 @@ +#pragma once + +namespace StreamCompaction { + namespace SharedNaiveMem { + + StreamCompaction::Common::PerformanceTimer& timer(); + + void scanSharedNaive(int n, int* odata, const int* idata); + + int compactNaive(int n, int* odata, const int* idata); + + } +} diff --git a/visualization/scan_performance_plot.png b/visualization/scan_performance_plot.png new file mode 100644 index 0000000000000000000000000000000000000000..3b7e123dbab3b093ef710ac3791bb0bdb601635c GIT binary patch literal 109334 zcmeFZcUYD8)-6inRuhdHVxfbv69j_NtBD9f1XM(j8bMLIfJg@uqasxSMX4$RN)_oy zF-oxk0R*Hg3q+{`(qXMT<}z*XZ=dJe-+9h+@BQQO>>XUNc-Q;>%A8}4G3M{WUTyVd zOL&)XaBwWs_(63)2glNU4vxj2eYOZcN%akM!#DYpy9`e1I#`}`J?wOpL+kL#6SfW~ zZLQ4Lo;vE}Y~^6TT}TB6zf8UhtA*>feP*!5|KzR7Yt5x9b8;gm&Rvt+z94C8 zTCqlPg=b80qesp2L;dX%!yQRmG(tDvHvafp`^-N};ExydU3JTe#ecnCtNza~H~-(4 ze;b_tI~spqD*s!faoyCiI+{nO?Zi%gmlyjo>$Mej^*5%)-@d)2r`NM{)-?CgKTfOF z#;b>f^SjpW;yS88i}&=;2OeVDP0|&!$JQ3{&XU^uuESft`R3`V+w|Exf^}alr|;hxmil-r zj=#_ysZ?P~ba;(b8Qec*m*yQQY4z2DMPK;+v|w??*XQ}aQWtbTaA^7YELZFX9!9(n&85fR2OE4BS1 z%zWfpZ*UySc4Snz&Adxuj8qDR=$m;_b)=p;brFH9Dw+Wx< zjHavk&QJ;I?j(bRhoJZHn@HAa833*m$I{5 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b/README.md @@ -1,14 +1,62 @@ CUDA Stream Compaction ====================== -**University of Pennsylvania, CIS 565: GPU Programming and Architecture, Project 2** +**University of Pennsylvania, CIS 565: GPU Programming and Architecture, Project 2** +**Author:** Yi Liu -* (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) +## Tested On +- **OS:** Windows 11 Home Version 24H2 (OS Build 26100.4061) +- **CPU:** Intel(R) Core(TM) i9-14900K @ 3.20GHz, 24 cores / 32 threads +- **RAM:** 64 GB +- **GPU:** NVIDIA GeForce RTX 4090, 24 GB VRAM +- **Environment:** Visual Studio 2022, CUDA 12.6, CMake 3.27 +--- -### (TODO: Your README) +## 🧩 Overview -Include analysis, etc. (Remember, this is public, so don't put -anything here that you don't want to share with the world.) +This project focuses on implementing and optimizing **stream compaction** using CUDA. Stream compaction is a fundamental parallel algorithm that removes unwanted elements (e.g., zeros) from an array while preserving the order of the remaining elements. + +To achieve this, multiple versions of **prefix sum (scan)** were implemented and benchmarked, as scan is a key building block in efficient stream compaction. + +The primary goals of this project were: +- Implement different versions of stream compaction on the GPU. +- Compare them against a CPU baseline. +- Investigate performance characteristics and bottlenecks. +- Explore scan implementations as subroutines. + +--- + +## ✅ Features Implemented + +### 1. **CPU Stream Compaction (Baseline)** +- Simple sequential compaction for correctness verification and timing comparison. +- Iterates through input array, writing out only non-zero elements. + +### 2. **GPU Stream Compaction with Scan** +- Performs compaction in three steps: + 1. **Map to Boolean**: Marks non-zero entries as 1 and zeros as 0. + 2. **Exclusive Scan**: Computes destination indices for the non-zero values. + 3. **Scatter**: Writes non-zero values to compacted output using scanned indices. + +### 3. **Scan Implementations (for Compaction Support)** + +#### • Naive GPU Scan +- Textbook parallel scan with \( O(n \log n) \) operations. +- New kernel launched at every depth level. + +#### • Work-Efficient GPU Scan (Blelloch) +- Upsweep and downsweep phases for \( O(n) \) total work. +- Multiple kernel launches for each pass. + +#### • Shared Memory Optimized Scan +- Uses block-level shared memory to reduce global memory traffic. +- Suitable for small arrays or single-block inputs. + +#### • Thrust Library Scan +- Calls `thrust::exclusive_scan()` as a baseline for optimized GPU performance. + +### 4. **Benchmarking & Performance Comparison** +- All implementations were benchmarked for varying input sizes. +- GPU timings use CUDA events; CPU uses standard timers. +- Results written to CSV files for analysis. From 64bc459e481957206f2033379cd4313f363def86 Mon Sep 17 00:00:00 2001 From: Yi Liu Date: Thu, 29 May 2025 15:10:40 -0400 Subject: [PATCH 09/19] update readme --- CMakeLists.txt | 12 +- README.md | 108 +++++++++ nsightoutput.ncu-rep | Bin 0 -> 9974594 bytes out.ncu-rep | Bin 0 -> 8809963 bytes project2analysis/Bottleneck.png | Bin 0 -> 87249 bytes project2analysis/Thrust.png | Bin 0 -> 8754 bytes project2analysis/image.png | Bin 0 -> 40718 bytes project2analysis/image1.png | Bin 0 -> 51265 bytes project2analysis/image2.png | Bin 0 -> 54270 bytes project2analysis/image3.png | Bin 0 -> 42515 bytes project2analysis/image4.png | Bin 0 -> 67751 bytes project2analysis/size24.png | Bin 0 -> 159578 bytes results/Bottleneck.png | Bin 0 -> 87249 bytes results/Thrust.png | Bin 0 -> 8754 bytes results/image.png | Bin 0 -> 40718 bytes results/image1.png | Bin 0 -> 51265 bytes results/image2.png | Bin 0 -> 54270 bytes results/image3.png | Bin 0 -> 42515 bytes results/image4.png | Bin 0 -> 67751 bytes results/size24.png | Bin 0 -> 159578 bytes src/main.cpp | 145 ++++++----- src/scan_timing_results.csv | 0 stream_compaction/CMakeLists.txt | 9 - stream_compaction/common.cu | 8 +- stream_compaction/cpu.cu | 8 +- stream_compaction/efficient_share.cu | 304 ++++++++++++++++++++++++ stream_compaction/efficient_share.h | 15 ++ stream_compaction/naive.cu | 3 +- stream_compaction/thrust.cu | 4 +- stream_compaction/thrust.h | 2 +- visualization/scan_performance_plot.png | Bin 109334 -> 177462 bytes visualization/scan_timing_results.csv | 22 +- visualization/visual.py | 2 +- 33 files changed, 532 insertions(+), 110 deletions(-) create mode 100644 nsightoutput.ncu-rep create mode 100644 out.ncu-rep create mode 100644 project2analysis/Bottleneck.png create mode 100644 project2analysis/Thrust.png create mode 100644 project2analysis/image.png create mode 100644 project2analysis/image1.png create mode 100644 project2analysis/image2.png create mode 100644 project2analysis/image3.png create mode 100644 project2analysis/image4.png create mode 100644 project2analysis/size24.png create mode 100644 results/Bottleneck.png create mode 100644 results/Thrust.png create mode 100644 results/image.png create mode 100644 results/image1.png create mode 100644 results/image2.png create mode 100644 results/image3.png create mode 100644 results/image4.png create mode 100644 results/size24.png delete mode 100644 src/scan_timing_results.csv create mode 100644 stream_compaction/efficient_share.cu create mode 100644 stream_compaction/efficient_share.h diff --git a/CMakeLists.txt b/CMakeLists.txt index 4c0c716..63a9de0 100644 --- a/CMakeLists.txt +++ b/CMakeLists.txt @@ -1,13 +1,14 @@ cmake_minimum_required(VERSION 3.18) project(cis5650_stream_compaction_test LANGUAGES CUDA CXX) - set_property(GLOBAL PROPERTY USE_FOLDERS ON) set(CMAKE_ARCHIVE_OUTPUT_DIRECTORY ${CMAKE_BINARY_DIR}/lib) set(CMAKE_LIBRARY_OUTPUT_DIRECTORY ${CMAKE_BINARY_DIR}/lib) set(CMAKE_RUNTIME_OUTPUT_DIRECTORY ${CMAKE_BINARY_DIR}/bin) +set(CMAKE_CUDA_FLAGS_DEBUG "${CMAKE_CUDA_FLAGS_DEBUG} -G") + # Enable C++11 for host code set(CMAKE_CXX_STANDARD 11) if(NOT DEFINED CMAKE_CUDA_STANDARD) @@ -46,4 +47,13 @@ source_group(Sources FILES ${sources}) add_executable(${CMAKE_PROJECT_NAME} ${sources} ${headers}) target_link_libraries(${CMAKE_PROJECT_NAME} stream_compaction) +if(CMAKE_VERSION VERSION_LESS "3.23.0") + set_target_properties(${CMAKE_PROJECT_NAME} PROPERTIES CUDA_ARCHITECTURES OFF) +elseif(CMAKE_VERSION VERSION_LESS "3.24.0") + set_target_properties(${CMAKE_PROJECT_NAME} PROPERTIES CUDA_ARCHITECTURES all-major) +else() + set_target_properties(${CMAKE_PROJECT_NAME} PROPERTIES CUDA_ARCHITECTURES native) +endif() +target_compile_options(${CMAKE_PROJECT_NAME} PRIVATE "$<$,$>:-G>") set_property(DIRECTORY ${CMAKE_CURRENT_SOURCE_DIR} PROPERTY VS_STARTUP_PROJECT ${CMAKE_PROJECT_NAME}) + diff --git a/README.md b/README.md index e85603c..7faffe8 100644 --- a/README.md +++ b/README.md @@ -60,3 +60,111 @@ The primary goals of this project were: - GPU timings use CUDA events; CPU uses standard timers. - Results written to CSV files for analysis. + +## Test Output Summary + +Below are the results from running the full test suite, including scan, stream compaction, and radix sort performance and correctness checks. + +
+Click to expand full test log + +```plaintext +**************** +** SCAN TESTS ** +**************** + [ 9 48 21 27 35 11 8 3 34 0 0 0 38 ... 2 0 ] +==== cpu scan, power-of-two ==== + elapsed time: 23.1201ms (std::chrono Measured) + [ 0 9 57 78 105 140 151 159 162 196 196 196 196 ... 410887318 410887320 ] +==== cpu scan, non-power-of-two ==== + elapsed time: 23.2731ms (std::chrono Measured) + [ 0 9 57 78 105 140 151 159 162 196 196 196 196 ... 410887242 410887288 ] + passed +==== naive scan, power-of-two ==== + elapsed time: 5.2679ms (CUDA Measured) + passed +==== naive scan, non-power-of-two ==== + elapsed time: 4.88928ms (CUDA Measured) + passed +==== work-efficient scan, power-of-two ==== + elapsed time: 15.4344ms (CUDA Measured) + passed +==== work-efficient scan, non-power-of-two ==== + elapsed time: 15.4737ms (CUDA Measured) + passed +==== thrust scan, power-of-two ==== + elapsed time: 53.3576ms (CUDA Measured) + passed +==== thrust scan, non-power-of-two ==== + elapsed time: 24.6813ms (CUDA Measured) + passed +==== shared memory naive scan, power-of-two ==== + elapsed time: 0.334848ms (CUDA Measured) + passed +==== shared memory naive scan, non-power-of-two ==== + elapsed time: 0.013312ms (CUDA Measured) + passed +==== shared memory naive scan, small manual ==== + elapsed time: 0ms (CUDA Measured) + [ 0 0 1 3 6 10 10 11 13 16 20 20 21 ... 60 60 ] + passed +==== shared memory efficient scan, power-of-two ==== + elapsed time: 0.361472ms (CUDA Measured) + passed +==== shared memory efficient scan, small manual ==== + passed + +***************************** +** STREAM COMPACTION TESTS ** +***************************** + [ 3 0 3 3 1 3 0 1 0 0 0 2 2 ... 2 0 ] +==== cpu compact without scan, power-of-two ==== + elapsed time: 42.3429ms (std::chrono Measured) + [ 3 3 3 1 3 1 2 2 3 3 1 3 2 ... 2 2 ] + passed +==== cpu compact without scan, non-power-of-two ==== + elapsed time: 43.0611ms (std::chrono Measured) + [ 3 3 3 1 3 1 2 2 3 3 1 3 2 ... 1 2 ] + passed +==== cpu compact with scan ==== + elapsed time: 23.6391ms (std::chrono Measured) + [ 3 3 3 1 3 1 2 2 3 3 1 3 2 ... 2 2 ] + passed +==== work-efficient compact, power-of-two ==== + elapsed time: 4.49686ms (CUDA Measured) + [ 3 3 3 1 3 1 2 2 3 3 1 3 2 ... 2 2 ] + passed +==== work-efficient compact, non-power-of-two ==== + elapsed time: 4.20435ms (CUDA Measured) + [ 3 3 3 1 3 1 2 2 3 3 1 3 2 ... 1 2 ] + passed + +*********************** +** RADIX SORT TESTS ** +*********************** +==== radix sort - random ints ==== + [ 0 1 2 3 4 5 6 7 8 9 ] + passed +==== radix sort - already sorted ==== + [ 0 1 2 3 4 5 6 7 ] + passed +==== radix sort - reverse sorted ==== + [ 0 1 2 3 4 5 6 7 ] + passed +==== radix sort - identical elements ==== + [ 42 42 42 42 42 42 ] + passed +==== radix sort - contains duplicates ==== + [ 0 1 1 2 3 3 5 7 9 ] + passed +==== radix sort - large array (pow2) ==== + elapsed time: 0.43328ms (CUDA Measured) + passed +==== radix sort - large array (non-pow2) ==== + elapsed time: 0.444416ms (CUDA Measured) + passed +==== radix sort - nearly sorted with random swaps ==== + elapsed time: 0.873472ms (CUDA Measured) + passed +``` +
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z{C!R=mhVhEuy5QGqH2dAvw=yc&p;!q#FM&yTQWIx-aq|dafLTR&8Iv!$z#u`S@mv} zN!#`W@q3$-C&r?o-9PQ%%!l}3m8?Ej> zln>wst*?MK-ml!>!a_bJQPl;Gg{W;|GZT~g;Dvhc@x3BKLYRQNn%q#>&8P;ITDJE=$E-zj5Qn;;yerLbwv!vMu`?yfKr9)(~CWnWNpI^O?g>x91+K z>z>7;5ag#CHgAr!SAo2D`(8ec+PGAo7w^K2hqq{L)}@0!q%p$ShR<{haWS4h zkRBNulR{A6c_Y>Dk39)ebPI;BS8PLVx*TU>6I7cR7G`dCk!dc3#stmkJ8ea#v<>Um z-*Qfy;jJrz6XI|EYu(k~J&pO5K|S$h$qXkhNfb0Na!lWHJ?7QIltJVHK|x4h&CM2( zD2h%sq9j+N+xyMi%ksNo8#)Re>XF@hN4p>Pq6We2!?xK~a=zUr5kv7)&!2Nj@8T?U z9n!iBLJ}~1)v6k|^p6k3ny(%RZ?L{hkM$BJLjuYEKSXl>dH<=` ze{7eY2@l);kr|zTcU^S%((})g-eQW_D)~pH@lX#1L>JV0cC5?4I{(fN-HcmI>O09l z&QA}cQV+Z(8y++M&zf<13 zaRf4@B=QEU&CA^_0~vAlc>zGd>_6nC`9aKzE*_XD6b$KZrNT)o@qo7u0v|@k%NH};E-nAPZ7Kw5Koq*le2eK>c!ttVp`X8;ae4`>A*fl>-0GKKAl #include "testing_helpers.hpp" - - #include #include #include #include // C++17 required #include // For _getcwd() -const int SIZE = 1 << 8; // feel free to change the size of array +const int SIZE = 1 << 24; // 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]; -int *c = new int[SIZE]; +int* a = new int[SIZE]; +int* b = new int[SIZE]; +int* c = new int[SIZE]; void ensureFileExists(const std::string& filename) { @@ -50,7 +48,7 @@ void ensureFileExists(const std::string& filename) { void benchmarkScans() { const std::string filename = "C:\\Users\\thero\\OneDrive\\Documents\\GitHub\\Project2-Stream-Compaction\\visualization\\scan_timing_results.csv"; ensureFileExists(filename); - + std::ofstream fout(filename); fout << "N,CPU(ms),Naive(ms),Efficient(ms),Thrust(ms)" << std::endl; @@ -64,7 +62,7 @@ void benchmarkScans() { return; } - for (int exp = 15; exp <= 25; exp++) { // Increase range for more realistic timings + for (int exp = 35; exp <= 45; exp++) { // Increase range for more realistic timings int N = 1 << exp; int* input = new int[N]; @@ -92,15 +90,14 @@ void benchmarkScans() { // Thrust scan. ERROR - //zeroArray(N, output); - //StreamCompaction::Thrust::scan(N, output, input); - //cudaDeviceSynchronize(); - //float thrustTime = StreamCompaction::Thrust::timer().getGpuElapsedTimeForPreviousOperation(); - - std::cout << N << "," << cpuTime << "," << naiveTime << "," << efficientTime << "," << std::endl; + zeroArray(N, output); + StreamCompaction::Thrust::scan(N, output, input); + cudaDeviceSynchronize(); + float thrustTime = StreamCompaction::Thrust::timer().getGpuElapsedTimeForPreviousOperation(); + std::cout << N << "," << cpuTime << "," << naiveTime << "," << efficientTime << "," << thrustTime << std::endl; - fout << N << "," << cpuTime << "," << naiveTime << "," << efficientTime << "," << std::endl; + fout << N << "," << cpuTime << "," << naiveTime << "," << efficientTime << "," << thrustTime << std::endl; delete[] input; delete[] output; @@ -188,18 +185,49 @@ int main(int argc, char* argv[]) { //printArray(NPOT, c, true); printCmpResult(NPOT, b, c); + const int SAFE_SIZE = 512; // Power-of-two and ≤ 1024 + const int SAFE_NPOT = 500; // Non-power-of-two and ≤ 1024 - zeroArray(SIZE, c); - printDesc("shared memory naive scan, power-of-two"); - StreamCompaction::SharedNaiveMem::scanSharedNaive(SIZE, c, a); - printElapsedTime(StreamCompaction::SharedNaiveMem::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); - printCmpResult(SIZE, b, c); + // ======= shared memory naive scan, power-of-two ======= + { + int* a = new int[SAFE_SIZE]; + int* b = new int[SAFE_SIZE]; + int* c = new int[SAFE_SIZE]; + + genArray(SAFE_SIZE, a, 50); + StreamCompaction::CPU::scan(SAFE_SIZE, b, a); + + zeroArray(SAFE_SIZE, c); + printDesc("shared memory naive scan, power-of-two"); + StreamCompaction::SharedNaiveMem::scanSharedNaive(SAFE_SIZE, c, a); + printElapsedTime(StreamCompaction::SharedNaiveMem::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); + printCmpResult(SAFE_SIZE, b, c); + + delete[] a; + delete[] b; + delete[] c; + } + + // ======= shared memory naive scan, non-power-of-two ======= + { + int* a = new int[SAFE_NPOT]; + int* b = new int[SAFE_NPOT]; + int* c = new int[SAFE_NPOT]; + + genArray(SAFE_NPOT, a, 50); + StreamCompaction::CPU::scan(SAFE_NPOT, b, a); + + zeroArray(SAFE_NPOT, c); + printDesc("shared memory naive scan, non-power-of-two"); + StreamCompaction::SharedNaiveMem::scanSharedNaive(SAFE_NPOT, c, a); + printElapsedTime(StreamCompaction::SharedNaiveMem::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); + printCmpResult(SAFE_NPOT, b, c); + + delete[] a; + delete[] b; + delete[] c; + } - zeroArray(SIZE, c); - printDesc("shared memory naive scan, non-power-of-two"); - StreamCompaction::SharedNaiveMem::scanSharedNaive(NPOT, c, a); - printElapsedTime(StreamCompaction::SharedEfficientMem::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); - printCmpResult(NPOT, b, c); { const int N = 32; @@ -213,12 +241,24 @@ int main(int argc, char* argv[]) { printCmpResult(N, expected, output); } + { + int* a = new int[SAFE_SIZE]; + int* b = new int[SAFE_SIZE]; + int* c = new int[SAFE_SIZE]; + + genArray(SAFE_SIZE, a, 50); + StreamCompaction::CPU::scan(SAFE_SIZE, b, a); - zeroArray(SIZE, c); - printDesc("shared memory efficient scan, power-of-two"); - StreamCompaction::SharedEfficientMem::scanSharedEfficient(SIZE, c, a); - printElapsedTime(StreamCompaction::SharedEfficientMem::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); - printCmpResult(SIZE, b, c); + zeroArray(SAFE_SIZE, c); + printDesc("shared memory efficient scan, power-of-two"); + StreamCompaction::SharedEfficientMem::scanSharedEfficient(SAFE_SIZE, c, a); + printElapsedTime(StreamCompaction::SharedEfficientMem::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); + printCmpResult(SAFE_SIZE, b, c); + + delete[] a; + delete[] b; + delete[] c; + } { @@ -285,51 +325,6 @@ int main(int argc, char* argv[]) { printCmpLenResult(count, expectedNPOT, b, c); - ////// ERROR STARTS - // - //zeroArray(SIZE, c); - //printDesc("shared mem naive compact, power-of-two"); - //count = StreamCompaction::SharedNaiveMem::compactNaive(SIZE, c, a); - //printElapsedTime(StreamCompaction::SharedNaiveMem::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); - //printArray(count, c, true); - //printCmpLenResult(count, expectedCount, b, c); - - //zeroArray(SIZE, c); - //printDesc("shared mem naive compact, non-power-of-two"); - //count = StreamCompaction::SharedNaiveMem::compactNaive(NPOT, c, a); - //printElapsedTime(StreamCompaction::SharedNaiveMem::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); - //printArray(count, c, true); - //printCmpLenResult(count, expectedNPOT, b, c); - - - //zeroArray(SIZE, c); - //printDesc("shared mem efficient compact, power-of-two"); - //count = StreamCompaction::SharedEfficientMem::compactEfficient(SIZE, c, a); - //printElapsedTime(StreamCompaction::SharedEfficientMem::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); - //printArray(count, c, true); - //printCmpLenResult(count, expectedCount, b, c); - - //zeroArray(SIZE, c); - //printDesc("shared mem efficient compact, non-power-of-two"); - //count = StreamCompaction::SharedEfficientMem::compactEfficient(NPOT, c, a); - //printElapsedTime(StreamCompaction::SharedEfficientMem::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); - //printArray(count, c, true); - //printCmpLenResult(count, expectedNPOT, b, c); - - //{ - // const int N = 32; - // int input[N], output[N], expected[N]; - // for (int i = 0; i < N; ++i) input[i] = (i + 3) % 7; - // StreamCompaction::CPU::compactWithScan(N, expected, input); - // StreamCompaction::SharedEfficientMem::compactEfficient(N, output, input); - // printDesc("shared memory efficient scan, small manual"); - // printCmpResult(N, expected, output); - //} - - ////// ERROR ENDS - - - printf("\n"); printf("***********************\n"); printf("** RADIX SORT TESTS **\n"); diff --git a/src/scan_timing_results.csv b/src/scan_timing_results.csv deleted file mode 100644 index e69de29..0000000 diff --git a/stream_compaction/CMakeLists.txt b/stream_compaction/CMakeLists.txt index 19511ca..e0ec27c 100644 --- a/stream_compaction/CMakeLists.txt +++ b/stream_compaction/CMakeLists.txt @@ -21,12 +21,3 @@ source_group(Headers FILES ${headers}) source_group(Sources FILES ${sources}) add_library(stream_compaction ${sources} ${headers}) -if(CMAKE_VERSION VERSION_LESS "3.23.0") - set_target_properties(stream_compaction} PROPERTIES CUDA_ARCHITECTURES OFF) -elseif(CMAKE_VERSION VERSION_LESS "3.24.0") - set_target_properties(stream_compaction PROPERTIES CUDA_ARCHITECTURES all-major) -else() - set_target_properties(stream_compaction PROPERTIES CUDA_ARCHITECTURES native) -endif() -target_compile_options(stream_compaction PRIVATE "$<$,$>:-G;-src-in-ptx>") -target_compile_options(stream_compaction PRIVATE "$<$,$>:-lineinfo;-src-in-ptx>") diff --git a/stream_compaction/common.cu b/stream_compaction/common.cu index ae8f56e..29fcd44 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; @@ -22,7 +22,7 @@ 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 i = threadIdx.x + blockIdx.x * blockDim.x; if (i < n) { @@ -34,8 +34,8 @@ namespace StreamCompaction { * 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 i = threadIdx.x + blockIdx.x * blockDim.x; if (i < n && bools[i]) { diff --git a/stream_compaction/cpu.cu b/stream_compaction/cpu.cu index ebc7470..3eeb776 100644 --- a/stream_compaction/cpu.cu +++ b/stream_compaction/cpu.cu @@ -13,11 +13,11 @@ namespace StreamCompaction { } /** - * CPU scan (prefix sum). + * CPU scan (prefix sum). * For performance analysis, this is supposed to be a simple for loop. * (Optional) For better understanding before starting moving to GPU, you can simulate your GPU scan in this function first. */ - void scan(int n, int *odata, const int *idata) { + void scan(int n, int* odata, const int* idata) { timer().startCpuTimer(); // TODO @@ -39,7 +39,7 @@ namespace StreamCompaction { * * @returns the number of elements remaining after compaction. */ - int compactWithoutScan(int n, int *odata, const int *idata) { + int compactWithoutScan(int n, int* odata, const int* idata) { timer().startCpuTimer(); // TODO int count = 0; @@ -58,7 +58,7 @@ namespace StreamCompaction { * * @returns the number of elements remaining after compaction. */ - int compactWithScan(int n, int *odata, const int *idata) { + int compactWithScan(int n, int* odata, const int* idata) { int* bools = new int[n]; int* indices = new int[n]; diff --git a/stream_compaction/efficient_share.cu b/stream_compaction/efficient_share.cu new file mode 100644 index 0000000..9721ba6 --- /dev/null +++ b/stream_compaction/efficient_share.cu @@ -0,0 +1,304 @@ +#include "common.h" +#include "efficient_share.h" +#include +#include +#include + +#define blockSize 512 +#define itemPerBlock 1024 +#define CONFLICT_FREE_OFFSET(n) ((n) >> 5) + +namespace StreamCompaction { + namespace EfficientShare { + using StreamCompaction::Common::PerformanceTimer; + PerformanceTimer& timer() + { + static PerformanceTimer timer; + return timer; + } + + __global__ void kernScan(int n, int* odata, int* sum) + { + extern __shared__ int s_odata[]; + int bid = blockIdx.x; + int tid = threadIdx.x; + int blockOffset = bid * n; + + // copy to shared buffer + int ai = tid; + int bi = tid + (n >> 1); + int bankOffsetA = CONFLICT_FREE_OFFSET(ai); + int bankOffsetB = CONFLICT_FREE_OFFSET(bi); + s_odata[ai + bankOffsetA] = odata[blockOffset + ai]; + s_odata[bi + bankOffsetB] = odata[blockOffset + bi]; + + int offset = 1; + + //s_odata[2 * tid] = odata[blockOffset + 2 * tid]; + //s_odata[2 * tid + 1] = odata[blockOffset + 2 * tid + 1]; + + // up sweep + #pragma unroll + for (int d = itemPerBlock >> 1; d > 0; d >>= 1) + { + __syncthreads(); + if (tid < d) + { + int ai = offset * (2 * tid + 1) - 1; + int bi = ai + offset; + ai += CONFLICT_FREE_OFFSET(ai); + bi += CONFLICT_FREE_OFFSET(bi); + + s_odata[bi] += s_odata[ai]; + offset <<= 1; + } + } + + // set tail to zero + if (tid == 0) + { + sum[bid] = s_odata[n - 1 + CONFLICT_FREE_OFFSET(n - 1)]; + s_odata[n - 1 + CONFLICT_FREE_OFFSET(n - 1)] = 0; + } + + // down sweep + #pragma unroll + for (int d = 1; d < itemPerBlock; d <<= 1) + { + __syncthreads(); + if (tid < d) + { + offset >>= 1; + int ai = offset * (2 * tid + 1) - 1; + int bi = ai + offset; + ai += CONFLICT_FREE_OFFSET(ai); + bi += CONFLICT_FREE_OFFSET(bi); + + int t = s_odata[ai]; + s_odata[ai] = s_odata[bi]; + s_odata[bi] += t; + } + } + + // write back + __syncthreads(); + odata[blockOffset + ai] = s_odata[ai + bankOffsetA]; + odata[blockOffset + bi] = s_odata[bi + bankOffsetB]; + //odata[blockOffset + 2 * tid] = s_odata[2 * tid]; + //odata[blockOffset + 2 * tid + 1] = s_odata[2 * tid + 1]; + } + + __global__ void kernScanSmall(int n, int* odata) + { + extern __shared__ int s_odata[]; + int tid = threadIdx.x; + + // copy to shared buffer + int ai = tid; + int bi = tid + (n >> 1); + int bankOffsetA = CONFLICT_FREE_OFFSET(ai); + int bankOffsetB = CONFLICT_FREE_OFFSET(bi); + + if (tid < n) + { + s_odata[ai + bankOffsetA] = odata[ai]; + s_odata[bi + bankOffsetB] = odata[bi]; + } + else + { + s_odata[ai + bankOffsetA] = 0; + s_odata[bi + bankOffsetB] = 0; + } + + + int offset = 1; + + // up sweep + for (int d = n >> 1; d > 0; d >>= 1) + { + __syncthreads(); + if (tid < d) + { + int ai = offset * (2 * tid + 1) - 1; + int bi = ai + offset; + ai += CONFLICT_FREE_OFFSET(ai); + bi += CONFLICT_FREE_OFFSET(bi); + + s_odata[bi] += s_odata[ai]; + offset <<= 1; + } + } + + // set tail to zero + if (tid == 0) + { + s_odata[n - 1 + CONFLICT_FREE_OFFSET(n - 1)] = 0; + } + + // down sweep + for (int d = 1; d < n; d <<= 1) + { + __syncthreads(); + if (tid < d) + { + offset >>= 1; + int ai = offset * (2 * tid + 1) - 1; + int bi = ai + offset; + ai += CONFLICT_FREE_OFFSET(ai); + bi += CONFLICT_FREE_OFFSET(bi); + + int t = s_odata[ai]; + s_odata[ai] = s_odata[bi]; + s_odata[bi] += t; + } + } + + // write back + __syncthreads(); + if (tid < n) + { + odata[ai] = s_odata[ai + bankOffsetA]; + odata[bi] = s_odata[bi + bankOffsetB]; + } + + } + + __global__ void kernAdd(int n, int* odata, const int* incr) + { + int bid = blockIdx.x; + int tid = threadIdx.x; + int blockOffset = bid * n + tid; + + int stride = n >> 2; + int base1 = incr[bid]; + + bid += gridDim.x; + int base2 = incr[bid]; + + odata[blockOffset] += base1; + odata[blockOffset + 1 * stride] += base1; + odata[blockOffset + 2 * stride] += base1; + odata[blockOffset + 3 * stride] += base1; + + blockOffset = bid * n + tid; + + odata[blockOffset] += base2; + odata[blockOffset + 1 * stride] += base2; + odata[blockOffset + 2 * stride] += base2; + odata[blockOffset + 3 * stride] += base2; + } + + // assume input is already padded + void scan_dev(int n, int* dev_odata) + { + int blockNum = (n + itemPerBlock - 1) / itemPerBlock; + int pot = nextPowerOfTwo(blockNum); + + timer().pauseGpuTimer(); + + int* dev_sum; + cudaMalloc((void**)&dev_sum, pot * sizeof(int)); + cudaMemset(dev_sum, 0, pot * sizeof(int)); + + timer().continueGpuTimer(); + + kernScan << < blockNum, blockSize, (itemPerBlock + 10) * sizeof(int) >> > (itemPerBlock, dev_odata, dev_sum); + + if (blockNum <= itemPerBlock) + { + + kernScanSmall << < 1, (pot >> 1), pot * sizeof(int) >> > (pot, dev_sum); + } + else + { + scan_dev(blockNum, dev_sum); + } + + if (blockNum > 1) + kernAdd << < (blockNum >> 1), (itemPerBlock >> 2) >> > (itemPerBlock, dev_odata, dev_sum); + + timer().pauseGpuTimer(); + cudaFree(dev_sum); + timer().continueGpuTimer(); + + } + + /** + * Performs prefix-sum (aka scan) on idata, storing the result into odata. + */ + void scan(int n, int* odata, const int* idata) { + int blockNum = (n + itemPerBlock - 1) / itemPerBlock; + int paddedNum = blockNum * itemPerBlock; + + int* dev_obuffer; + cudaMalloc((void**)&dev_obuffer, paddedNum * sizeof(int)); + cudaMemset(dev_obuffer + n, 0, (paddedNum - n) * sizeof(int)); + cudaMemcpy(dev_obuffer, idata, sizeof(int) * n, cudaMemcpyHostToDevice); + + nvtxRangePushA("Efficient Share"); + timer().startGpuTimer(); + + scan_dev(paddedNum, dev_obuffer); + + timer().endGpuTimer(); + nvtxRangePop(); + + cudaMemcpy(odata, dev_obuffer, sizeof(int) * n, cudaMemcpyDeviceToHost); + cudaFree(dev_obuffer); + } + + /** + * Performs stream compaction on idata, storing the result into odata. + * All zeroes are discarded. + * + * @param n The number of elements in idata. + * @param odata The array into which to store elements. + * @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 blockNum = (n + itemPerBlock - 1) / itemPerBlock; + int paddedNum = blockNum * itemPerBlock; + + int* dev_idata; + cudaMalloc((void**)&dev_idata, paddedNum * sizeof(int)); + cudaMemset(dev_idata, 0, paddedNum * sizeof(int)); + cudaMemcpy(dev_idata, idata, sizeof(int) * n, cudaMemcpyHostToDevice); + + int* dev_bools; + cudaMalloc((void**)&dev_bools, paddedNum * sizeof(int)); + cudaMemset(dev_bools, 0, paddedNum * sizeof(int)); + + int* dev_odata; + cudaMalloc((void**)&dev_odata, paddedNum * sizeof(int)); + cudaMemset(dev_odata, 0, paddedNum * sizeof(int)); + + timer().startGpuTimer(); + + // map to bool + int gBlockNum = (paddedNum + blockSize - 1) / blockSize; + Common::kernMapToBoolean << < gBlockNum, blockSize >> > (paddedNum, dev_bools, dev_idata); + + // scan + scan_dev(paddedNum, dev_bools); + + // scatter + Common::kernScatter << < gBlockNum, blockSize >> > (paddedNum, dev_odata, dev_idata, nullptr, dev_bools); + + // copy len back to host + int len = 0; + cudaMemcpy(&len, dev_bools + paddedNum - 1, sizeof(int), cudaMemcpyDeviceToHost); + + timer().endGpuTimer(); + + cudaMemcpy(odata, dev_odata, sizeof(int) * len, cudaMemcpyDeviceToHost); + cudaFree(dev_odata); + cudaFree(dev_idata); + cudaFree(dev_bools); + + + return len; + } + } +} \ No newline at end of file diff --git a/stream_compaction/efficient_share.h b/stream_compaction/efficient_share.h new file mode 100644 index 0000000..a1a2e96 --- /dev/null +++ b/stream_compaction/efficient_share.h @@ -0,0 +1,15 @@ +#pragma once + +#include "common.h" + +namespace StreamCompaction { + namespace EfficientShare { + StreamCompaction::Common::PerformanceTimer& timer(); + + void scan(int n, int* odata, const int* idata); + + void scan_dev(int n, int* dev_odata); + + int compact(int n, int* odata, const int* idata); + } +} diff --git a/stream_compaction/naive.cu b/stream_compaction/naive.cu index 1fc6b94..ebf5058 100644 --- a/stream_compaction/naive.cu +++ b/stream_compaction/naive.cu @@ -27,7 +27,6 @@ namespace StreamCompaction { } } - //host func void scan(int n, int* odata, const int* idata) { int* dev_ping; @@ -45,7 +44,7 @@ namespace StreamCompaction { timer().startGpuTimer(); for (int d = 1; d <= depth; d++) { - naiveScanStep<<>>(n, d, dev_ping, dev_pong); + naiveScanStep << > > (n, d, dev_ping, dev_pong); //cudaDeviceSynchronize(); // Swap buffers diff --git a/stream_compaction/thrust.cu b/stream_compaction/thrust.cu index 5f0eac0..b221ee7 100644 --- a/stream_compaction/thrust.cu +++ b/stream_compaction/thrust.cu @@ -17,11 +17,11 @@ 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) { // 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()); - + // Copy input from raw pointer to Thrust device_vector thrust::device_vector d_input(idata, idata + n); thrust::device_vector d_output(n); diff --git a/stream_compaction/thrust.h b/stream_compaction/thrust.h index fe98206..0a957d8 100644 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z9`mb{k#!n)MwpOS&*cLmW$G^ ziVBLbfYNn%{7vZRM=YM#^RWH)i0ABH9CN3csR=NIR>tVkv{FmUBYMO< zc9kr=R1~P3ayVg5sH}`DWHv8iuVX6AcN(6`o@vv^n0RtQZ5cwB+D5RI#>U`|p0tRC z9rIyD%B^{iqxSP9SOghZ+|#@(>o^Y4tHz8N`-chNRUu&I^wh6IcJ{Z#UP@W^_V7 z1w4T;Qg8p=cLtgPtb~3CBp5|Yw3o9B;kGnEGU Date: Thu, 29 May 2025 19:29:56 -0400 Subject: [PATCH 10/19] update readme --- README.md | 120 ++++++++++++++- project2analysis/Bottleneck.png | Bin 87249 -> 0 bytes project2analysis/Thrust.png | Bin 8754 -> 0 bytes project2analysis/image.png | Bin 40718 -> 0 bytes project2analysis/image1.png | Bin 51265 -> 0 bytes project2analysis/image2.png | Bin 54270 -> 0 bytes project2analysis/image3.png | Bin 42515 -> 0 bytes project2analysis/image4.png | Bin 67751 -> 0 bytes project2analysis/size24.png | Bin 159578 -> 0 bytes results/Bottleneck.png | Bin 87249 -> 0 bytes results/Thrust.png | Bin 8754 -> 0 bytes results/image.png | Bin 40718 -> 0 bytes results/image1.png | Bin 51265 -> 0 bytes results/image2.png | Bin 54270 -> 0 bytes results/image3.png | Bin 42515 -> 0 bytes results/image4.png | Bin 67751 -> 0 bytes results/size24.png | Bin 159578 -> 0 bytes src/main.cpp | 138 ++++++++--------- stream_compaction/efficient.cu | 173 ++++++++++++---------- stream_compaction/naive.cu | 2 +- visualization/best_bs_effScan.py | 23 +++ visualization/compact_plot.py | 26 ++++ visualization/compact_size_plot.png | Bin 0 -> 115884 bytes visualization/compact_size_results.csv | 24 +++ visualization/efficient_scan_bar_plot.png | Bin 0 -> 42839 bytes visualization/scan_performance_plot.png | Bin 177462 -> 0 bytes visualization/scan_plot.py | 27 ++++ visualization/scan_size_plot_13_27.png | Bin 0 -> 114054 bytes visualization/scan_size_results.csv | 24 +++ visualization/scan_timing_results.csv | 12 -- visualization/visual.py | 39 ----- 31 files changed, 396 insertions(+), 212 deletions(-) delete mode 100644 project2analysis/Bottleneck.png delete mode 100644 project2analysis/Thrust.png delete mode 100644 project2analysis/image.png delete mode 100644 project2analysis/image1.png delete mode 100644 project2analysis/image2.png delete mode 100644 project2analysis/image3.png delete mode 100644 project2analysis/image4.png delete mode 100644 project2analysis/size24.png delete mode 100644 results/Bottleneck.png delete mode 100644 results/Thrust.png delete mode 100644 results/image.png delete mode 100644 results/image1.png delete mode 100644 results/image2.png delete mode 100644 results/image3.png delete mode 100644 results/image4.png delete mode 100644 results/size24.png create mode 100644 visualization/best_bs_effScan.py create mode 100644 visualization/compact_plot.py create mode 100644 visualization/compact_size_plot.png create mode 100644 visualization/compact_size_results.csv create mode 100644 visualization/efficient_scan_bar_plot.png delete mode 100644 visualization/scan_performance_plot.png create mode 100644 visualization/scan_plot.py create mode 100644 visualization/scan_size_plot_13_27.png create mode 100644 visualization/scan_size_results.csv delete mode 100644 visualization/scan_timing_results.csv delete mode 100644 visualization/visual.py diff --git a/README.md b/README.md index 7faffe8..70ac013 100644 --- a/README.md +++ b/README.md @@ -61,8 +61,52 @@ The primary goals of this project were: - Results written to CSV files for analysis. -## Test Output Summary +## Test Cases Summary + +This project includes a comprehensive suite of test cases across **scan**, **stream compaction**, and **radix sort**, covering both correctness and performance. Each test is designed to validate behavior on different input types, sizes (including power-of-two and non-power-of-two), and algorithm variants. + +### Scan Tests +Tested scan variants include CPU, naive GPU, work-efficient GPU, Thrust, and shared memory scans. + +| Test Description | Input Size | Notes | +|------------------------------------------------|--------------------|------------------------------------------------------| +| CPU scan | 2¹⁹ = 524,288 | Baseline for correctness and performance | +| Naive GPU scan (power-of-two / non-power-of-two) | 2¹⁹ and 393,931 | Launches multiple kernels per level | +| Work-efficient GPU scan (power-of-two / NPOT) | 2¹⁹ and 393,931 | Implements upsweep/downsweep | +| Thrust GPU scan (power-of-two / NPOT) | 2¹⁹ and 393,931 | Uses `thrust::exclusive_scan` | +| Shared memory naive scan | 512, 500, 32 | Small sizes for validating shared mem behavior | +| Shared memory efficient scan | 512, 32 | Efficient scan in shared memory with loop unrolling | + +--- + +### Stream Compaction Tests +Tested both CPU and GPU compaction with and without scan, for both power-of-two and non-power-of-two sizes. + +| Test Description | Input Size | Notes | +|------------------------------------------------|--------------------|------------------------------------------------------| +| CPU compaction without scan (POT / NPOT) | 524,288 / 393,931 | Sequential traversal | +| CPU compaction with scan | 524,288 | Uses scan + scatter | +| Work-efficient GPU compaction (POT / NPOT) | 524,288 / 393,931 | Uses map-to-boolean + scan + scatter | + +--- +### Radix Sort Tests +Includes correctness tests for various distributions and sizes, with special cases and large arrays. + +| Test Case Description | Input Size | Notes | +|------------------------------------------------|--------------------|------------------------------------------------------| +| Random values | 10 | Basic unsorted small input | +| Already sorted | 8 | Best-case scenario | +| Reverse sorted | 8 | Worst-case scenario | +| Identical values | 6 | Edge case: no change after sort | +| Contains duplicates | 9 | Tests stable ordering | +| Large array (power-of-two) | 65,536 | Stress test for GPU sort | +| Large array (non-power-of-two) | 65,519 | Non-POT performance and correctness | +| Nearly sorted array with random swaps | 16,384 | Realistic scenario with small local disorder | + + + +## Test Output Summary Below are the results from running the full test suite, including scan, stream compaction, and radix sort performance and correctness checks.

    @@ -167,4 +211,76 @@ Below are the results from running the full test suite, including scan, stream c elapsed time: 0.873472ms (CUDA Measured) passed ``` -
    \ No newline at end of file + + + +## Scan Runtime Analysis + +The figure below shows the elapsed time (in milliseconds) of four scan implementations measured across input sizes ranging from \(2^{13}\) to \(2^{27}\), using a fixed block size of 256. All tests were run in **Release mode** to ensure optimized performance, particularly for the Thrust-based implementation. + +![Scan Elapsed Time Plot](visualization/scan_size_plot_13_27.png.png) + +### Key Observations + +#### Performance at Small Sizes (\(2^{13} \to 2^{17}\)) +- **Thrust Scan** performs exceptionally well, benefiting from Release-mode optimizations that eliminate overhead seen in debug builds. +- **Efficient GPU Scan** is also strong in this range, clearly outperforming the naive version. +- **CPU Scan** starts very fast but scales poorly beyond this point. + +#### Mid-Range Sizes (\(2^{18} \to 2^{24}\)) +- **Thrust Scan** continues to lead, maintaining low latency while other methods begin to scale more steeply. +- **Naive GPU Scan** begins to show inefficiencies due to redundant memory access and higher algorithmic complexity. +- **Efficient GPU Scan** remains competitive but starts to lag behind Thrust. + +#### Large Sizes (\(2^{25} \to 2^{27}\)) +- **Thrust Scan** remains the fastest and scales efficiently, highlighting its well-optimized internal operations. +- **Naive GPU Scan** slows down significantly due to its \(O(n \log n)\) complexity and less efficient memory use. +- **CPU Scan** becomes the slowest by far, with consistent linear growth. + +Overall, Thrust offers the best performance across all input sizes when compiled in Release mode, while the Efficient GPU Scan provides a solid custom alternative with strong performance at small to mid-range sizes. The CPU scan, although fast for small inputs, follows a linear \(O(n)\) time complexity and becomes the slowest as input sizes grow. + + +## Compact Runtime Analysis + +The plot below shows the runtime performance (in milliseconds) of three different stream compaction implementations as a function of input size \(N\), ranging from \(2^5\) to \(2^{27}\). All tests were conducted using a fixed CUDA block size of 256 and compiled in **Release mode** to ensure optimal performance. + +![Compact Elapsed Time Plot](visualization/compact_size_plot.png) + +### Key Observations + +#### CPU vs CPU with Scan +- For small input sizes (\(N \leq 2^{16}\)), both CPU variants show very similar runtimes, indicating that the scan step contributes little overhead in this range. +- As \(N\) increases, "CPU with Scan" becomes slightly slower than CPU-only compaction due to the added cost of prefix sum computation. +- Both exhibit consistent linear growth on the log-log plot, confirming the expected **\(O(n)\)** time complexity for serial execution. + +#### Efficient GPU Scan +- The GPU implementation shows near-constant runtime across small and mid-sized inputs (up to \(2^{21}\)), demonstrating excellent scalability due to parallel execution and efficient memory usage. +- Beyond \(2^{21}\), the runtime begins to increase gradually. This likely reflects: + - The need to process more data in global memory + - Increased number of kernel launches +- Even at \(N = 2^{27}\), GPU runtime remains well under 50 ms — significantly outperforming the CPU implementations, which exceed 100 ms at that scale. + + +## Efficient GPU Scan Runtime Analysis (Global Memory Implementation) + +The bar chart below displays the runtime (in milliseconds) of a work-efficient Blelloch-style GPU scan implementation that operates entirely in global memory. No shared memory or warp-level primitives are used. + +![Efficient Scan Bar Plot](visualization/efficient_scan_bar_plot.png) + +### Key Observations + +- For mid-sized inputs (\(2^6\) to \(2^9\)), the scan shows consistently low runtimes (~0.07 ms), indicating effective thread-level parallelism despite global memory latency. +- Noticeable spikes occur at sizes \(2^5\), \(2^{10}\), and \(2^{13}\), where runtime increases by 2–3× compared to neighboring sizes. These performance dips likely stem from: + - **Uncoalesced memory access** due to thread divergence at these specific sizes + - **Extra overhead** from partial warp utilization or thread underpopulation in early/late stages of the scan + - **Depth-related kernel launches**: For \(N = 2^{13}\), the number of upsweep and downsweep steps increases, amplifying launch and global memory access costs +- The runtime drop at \(2^{11}\) suggests that thread/block configuration for that size aligns better with the kernel design, temporarily improving efficiency. + +### Best Performance + +The most optimal performance is observed between \(2^6\) and \(2^9\), where the runtime stabilizes around **0.07 ms**. These sizes likely strike a balance where: +- The number of elements fits well within available thread blocks, +- Memory access patterns remain more coalesced, +- And kernel launch overhead is minimal due to shallower recursion depths in the scan tree. + +This range can be considered the **sweet spot** for this global memory-based scan implementation, offering the lowest latency and most consistent performance across all tested input sizes. diff --git a/project2analysis/Bottleneck.png b/project2analysis/Bottleneck.png deleted file mode 100644 index c91ac27ce8a2baede3ccf2724809e02fb23f7452..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 87249 zcma&Nby!?Y^CmomAPK=Oc!1y*++72~WpH%$%9ir@O1V>aM!0gJh&c;ooDw2Z2EFU&VyvK%n=!AP_`7>>J?9US+Bb@bb=D zOvMfa!XSD5gZL`<`4qT_Y%i>AFK=aN@1$dE0Ft*fvDUG(H_*TwTLpnWfxZgyD>$bf zu3DL+fz#<8*FOx7S&oPs2P};LF=<|IjHwgtbk+RMRNFcI>o|}KZk@_e=mFuw3jXOQ z<-zDClzP&S`iCO|xiAv(wDG@@=sq0Q<)G7rMt)p^j_^ry(Ghm#m|RF%s9L^URpE>@ 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z{C!R=mhVhEuy5QGqH2dAvw=yc&p;!q#FM&yTQWIx-aq|dafLTR&8Iv!$z#u`S@mv} zN!#`W@q3$-C&r?o-9PQ%%!l}3m8?Ej> zln>wst*?MK-ml!>!a_bJQPl;Gg{W;|GZT~g;Dvhc@x3BKLYRQNn%q#>&8P;ITDJE=$E-zj5Qn;;yerLbwv!vMu`?yfKr9)(~CWnWNpI^O?g>x91+K z>z>7;5ag#CHgAr!SAo2D`(8ec+PGAo7w^K2hqq{L)}@0!q%p$ShR<{haWS4h zkRBNulR{A6c_Y>Dk39)ebPI;BS8PLVx*TU>6I7cR7G`dCk!dc3#stmkJ8ea#v<>Um z-*Qfy;jJrz6XI|EYu(k~J&pO5K|S$h$qXkhNfb0Na!lWHJ?7QIltJVHK|x4h&CM2( zD2h%sq9j+N+xyMi%ksNo8#)Re>XF@hN4p>Pq6We2!?xK~a=zUr5kv7)&!2Nj@8T?U z9n!iBLJ}~1)v6k|^p6k3ny(%RZ?L{hkM$BJLjuYEKSXl>dH<=` ze{7eY2@l);kr|zTcU^S%((})g-eQW_D)~pH@lX#1L>JV0cC5?4I{(fN-HcmI>O09l z&QA}cQV+Z(8y++M&zf<13 zaRf4@B=QEU&CA^_0~vAlc>zGd>_6nC`9aKzE*_XD6b$KZrNT)o@qo7u0v|@k%NH};E-nAPZ7Kw5Koq*le2eK>c!ttVp`X8;ae4`>A*fl>-0GKKAl // C++17 required #include // For _getcwd() -const int SIZE = 1 << 24; // 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]; -int* c = new int[SIZE]; void ensureFileExists(const std::string& filename) { @@ -45,71 +40,24 @@ void ensureFileExists(const std::string& filename) { } } -void benchmarkScans() { - const std::string filename = "C:\\Users\\thero\\OneDrive\\Documents\\GitHub\\Project2-Stream-Compaction\\visualization\\scan_timing_results.csv"; - ensureFileExists(filename); - std::ofstream fout(filename); - fout << "N,CPU(ms),Naive(ms),Efficient(ms),Thrust(ms)" << std::endl; - - char cwd[1024]; - _getcwd(cwd, sizeof(cwd)); // current working directory - std::string fullPath = std::string(cwd) + "\\" + filename; - std::cout << "[DEBUG] Attempting to write to: " << fullPath << std::endl; +void logTestCaseRuntimeToCSV(const std::string& filename, int size, float cpu, float naive, float efficient, float thrust) { + std::ofstream fout(filename, std::ios::app); // append mode if (!fout.is_open()) { - std::cerr << "[ERROR] Failed to open scan_timing_results.csv for writing." << std::endl; + std::cerr << "[ERROR] Could not open " << filename << " for logging scan test results." << std::endl; return; } - for (int exp = 35; exp <= 45; exp++) { // Increase range for more realistic timings - int N = 1 << exp; - - int* input = new int[N]; - int* output = new int[N]; - - genArray(N, input, 10000); // Fill with random integers - - // CPU scan - zeroArray(N, output); - StreamCompaction::CPU::scan(N, output, input); - cudaDeviceSynchronize(); - float cpuTime = StreamCompaction::CPU::timer().getCpuElapsedTimeForPreviousOperation(); - - // Naive scan - zeroArray(N, output); - StreamCompaction::Naive::scan(N, output, input); - cudaDeviceSynchronize(); - float naiveTime = StreamCompaction::Naive::timer().getGpuElapsedTimeForPreviousOperation(); - - // Efficient scan - zeroArray(N, output); - StreamCompaction::Efficient::scan(N, output, input); - cudaDeviceSynchronize(); - float efficientTime = StreamCompaction::Efficient::timer().getGpuElapsedTimeForPreviousOperation(); - - - // Thrust scan. ERROR - zeroArray(N, output); - StreamCompaction::Thrust::scan(N, output, input); - cudaDeviceSynchronize(); - float thrustTime = StreamCompaction::Thrust::timer().getGpuElapsedTimeForPreviousOperation(); - - std::cout << N << "," << cpuTime << "," << naiveTime << "," << efficientTime << "," << thrustTime << std::endl; - - fout << N << "," << cpuTime << "," << naiveTime << "," << efficientTime << "," << thrustTime << std::endl; - - delete[] input; - delete[] output; - } - + fout << size << "," << cpu << "," << naive << "," << efficient << "," << thrust << std::endl; fout.close(); - printf("Scan timing results written to scan_timing_results.csv\n"); } +void runTests(int* a, int* b, int* c, int SIZE) { + + int NPOT = SIZE - 3; -int main(int argc, char* argv[]) { // Scan tests printf("\n"); @@ -127,7 +75,8 @@ int main(int argc, char* argv[]) { zeroArray(SIZE, b); printDesc("cpu scan, power-of-two"); StreamCompaction::CPU::scan(SIZE, b, a); - printElapsedTime(StreamCompaction::CPU::timer().getCpuElapsedTimeForPreviousOperation(), "(std::chrono Measured)"); + float cpu_scan = StreamCompaction::CPU::timer().getCpuElapsedTimeForPreviousOperation(); + printElapsedTime(cpu_scan, "(std::chrono Measured)"); printArray(SIZE, b, true); zeroArray(SIZE, c); @@ -140,16 +89,11 @@ int main(int argc, char* argv[]) { zeroArray(SIZE, c); printDesc("naive scan, power-of-two"); StreamCompaction::Naive::scan(SIZE, c, a); - printElapsedTime(StreamCompaction::Naive::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); + float naive_scan = StreamCompaction::Naive::timer().getGpuElapsedTimeForPreviousOperation(); + printElapsedTime(naive_scan, "(CUDA Measured)"); //printArray(SIZE, c, true); printCmpResult(SIZE, b, c); - /* For bug-finding only: Array of 1s to help find bugs in stream compaction or scan - onesArray(SIZE, c); - printDesc("1s array for finding bugs"); - StreamCompaction::Naive::scan(SIZE, c, a); - printArray(SIZE, c, true); */ - zeroArray(SIZE, c); printDesc("naive scan, non-power-of-two"); StreamCompaction::Naive::scan(NPOT, c, a); @@ -160,7 +104,8 @@ int main(int argc, char* argv[]) { zeroArray(SIZE, c); printDesc("work-efficient scan, power-of-two"); StreamCompaction::Efficient::scan(SIZE, c, a); - printElapsedTime(StreamCompaction::Efficient::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); + float eff_scan = StreamCompaction::Efficient::timer().getGpuElapsedTimeForPreviousOperation(); + printElapsedTime(eff_scan, "(CUDA Measured)"); //printArray(SIZE, c, true); printCmpResult(SIZE, b, c); @@ -174,10 +119,15 @@ int main(int argc, char* argv[]) { zeroArray(SIZE, c); printDesc("thrust scan, power-of-two"); StreamCompaction::Thrust::scan(SIZE, c, a); - printElapsedTime(StreamCompaction::Thrust::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); + float thrust_scan = StreamCompaction::Thrust::timer().getGpuElapsedTimeForPreviousOperation(); + printElapsedTime(thrust_scan, "(CUDA Measured)"); //printArray(SIZE, c, true); printCmpResult(SIZE, b, c); + const std::string scanLogFile = "C:\\Users\\thero\\OneDrive\\Documents\\GitHub\\Project2-Stream-Compaction\\visualization\\scan_size_results.csv"; + logTestCaseRuntimeToCSV(scanLogFile, SIZE, cpu_scan, naive_scan, eff_scan, thrust_scan); + + zeroArray(SIZE, c); printDesc("thrust scan, non-power-of-two"); StreamCompaction::Thrust::scan(NPOT, c, a); @@ -194,8 +144,8 @@ int main(int argc, char* argv[]) { int* b = new int[SAFE_SIZE]; int* c = new int[SAFE_SIZE]; - genArray(SAFE_SIZE, a, 50); - StreamCompaction::CPU::scan(SAFE_SIZE, b, a); + genArray(SAFE_SIZE, a, 50); + StreamCompaction::CPU::scan(SAFE_SIZE, b, a); zeroArray(SAFE_SIZE, c); printDesc("shared memory naive scan, power-of-two"); @@ -290,7 +240,8 @@ int main(int argc, char* argv[]) { zeroArray(SIZE, b); printDesc("cpu compact without scan, power-of-two"); count = StreamCompaction::CPU::compactWithoutScan(SIZE, b, a); - printElapsedTime(StreamCompaction::CPU::timer().getCpuElapsedTimeForPreviousOperation(), "(std::chrono Measured)"); + float cpu_compact = StreamCompaction::CPU::timer().getCpuElapsedTimeForPreviousOperation(); + printElapsedTime(cpu_compact, "(std::chrono Measured)"); expectedCount = count; printArray(count, b, true); printCmpLenResult(count, expectedCount, b, b); @@ -306,14 +257,17 @@ int main(int argc, char* argv[]) { zeroArray(SIZE, c); printDesc("cpu compact with scan"); count = StreamCompaction::CPU::compactWithScan(SIZE, c, a); - printElapsedTime(StreamCompaction::CPU::timer().getCpuElapsedTimeForPreviousOperation(), "(std::chrono Measured)"); + float cpu_compact_wScan = StreamCompaction::CPU::timer().getCpuElapsedTimeForPreviousOperation(); + printElapsedTime(cpu_compact_wScan, "(std::chrono Measured)"); printArray(count, c, true); printCmpLenResult(count, expectedCount, b, c); + zeroArray(SIZE, c); printDesc("work-efficient compact, power-of-two"); count = StreamCompaction::Efficient::compact(SIZE, c, a); - printElapsedTime(StreamCompaction::Efficient::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); + float eff_compact = StreamCompaction::Efficient::timer().getGpuElapsedTimeForPreviousOperation(); + printElapsedTime(eff_compact, "(CUDA Measured)"); printArray(count, c, true); printCmpLenResult(count, expectedCount, b, c); @@ -324,6 +278,8 @@ int main(int argc, char* argv[]) { printArray(count, c, true); printCmpLenResult(count, expectedNPOT, b, c); + const std::string compactLogFile = "C:\\Users\\thero\\OneDrive\\Documents\\GitHub\\Project2-Stream-Compaction\\visualization\\compact_size_results.csv"; + logTestCaseRuntimeToCSV(compactLogFile, SIZE, cpu_compact, cpu_compact_wScan, eff_compact, 0); printf("\n"); printf("***********************\n"); @@ -470,11 +426,37 @@ int main(int argc, char* argv[]) { delete[] expected; } - benchmarkScans(); - - - system("pause"); // stop Win32 console from closing on exit delete[] a; delete[] b; delete[] c; + +} + + + +int main(int argc, char* argv[]) { + const std::string scanLogFile = "C:\\Users\\thero\\OneDrive\\Documents\\GitHub\\Project2-Stream-Compaction\\visualization\\scan_size_results.csv"; + std::ofstream fout(scanLogFile); + fout << "N,CPU(ms),Naive(ms),Efficient(ms),Thrust(ms)" << std::endl; + fout.close(); + + + + const std::string compactLogFile = "C:\\Users\\thero\\OneDrive\\Documents\\GitHub\\Project2-Stream-Compaction\\visualization\\compact_size_results.csv"; + std::ofstream fout_2(compactLogFile); + fout_2 << "N,CPU_NoScan(ms),CPU_WithScan(ms),GPU_Efficient(ms),placeholder" << std::endl; + fout_2.close(); + + + for (int i = 0; i < 23; i++) { + const int SIZE = 1 << (5 + i); + int* a = new int[SIZE]; + int* b = new int[SIZE]; + int* c = new int[SIZE]; + + runTests(a, b, c, SIZE); + } + + system("pause"); // stop Win32 console from closing on exit + } diff --git a/stream_compaction/efficient.cu b/stream_compaction/efficient.cu index f6a6f6e..f94c7e6 100644 --- a/stream_compaction/efficient.cu +++ b/stream_compaction/efficient.cu @@ -3,6 +3,12 @@ #include "common.h" #include "efficient.h" +#include +#include +#include + +constexpr int blockSize = 512; // Optimized for SIZE = 1 << 26 + namespace StreamCompaction { namespace Efficient { using StreamCompaction::Common::PerformanceTimer; @@ -12,73 +18,80 @@ namespace StreamCompaction { return timer; } + __global__ void kernReduce(int N, int d, int* data) + { + int index = (blockIdx.x * blockDim.x) + threadIdx.x; + if (index >= N) { return; } - __global__ void upsweep(int* data, int twod, int twod1, int n) { - int index = threadIdx.x + blockIdx.x * blockDim.x; - int k = index * twod1; - if (k + twod1 - 1 < n) { - data[k + twod1 - 1] += data[k + twod - 1]; - } + int k = index * (1 << (d + 1)); + + data[k + (1 << (d + 1)) - 1] += data[k + (1 << d) - 1]; + } + + __global__ void kernTraverseBack(int N, int d, int* data) + { + int index = (blockIdx.x * blockDim.x) + threadIdx.x; + if (index >= N) { return; } + + int k = index * (1 << (d + 1)); + + int t = data[k + (1 << d) - 1]; + data[k + (1 << d) - 1] = data[k + (1 << (d + 1)) - 1]; + data[k + (1 << (d + 1)) - 1] += t; } + void scan_gpu(int n, int* dev_data) + { + thrust::device_ptr dev_thrust_data(dev_data); + + // Up-sweep + for (int d = 0; d < ilog2ceil(n) - 1; ++d) + { + dim3 threadsPerBlock(blockSize); + dim3 blocksPerGrid(((n >> (d + 1)) + blockSize - 1) / blockSize); + kernReduce << > > ((n >> (d + 1)), d, dev_data); + checkCUDAError("kernReduce launch failed!"); + } - __global__ void downsweep(int* data, int twod, int twod1, int n) { - int index = threadIdx.x + blockIdx.x * blockDim.x; - int k = index * twod1; - if (k + twod1 - 1 < n) { - int t = data[k + twod - 1]; - data[k + twod - 1] = data[k + twod1 - 1]; - data[k + twod1 - 1] += t; + // Down-sweep + dev_thrust_data[n - 1] = 0; + + for (int d = ilog2ceil(n) - 1; d >= 0; --d) + { + int numThreads = n >> (d + 1); + if (numThreads << (d + 1) != n) { numThreads = n >> d; } + dim3 threadsPerBlock(blockSize); + dim3 blocksPerGrid((numThreads + blockSize - 1) / blockSize); + kernTraverseBack << > > (numThreads, d, dev_data); + checkCUDAError("kernTraverseBack launch failed!"); } } /** * Performs prefix-sum (aka scan) on idata, storing the result into odata. */ - - // Internal version that controls timing - void scan_internal(int n, int* odata, const int* idata, bool timing) { - if (timing) timer().startGpuTimer(); - - int pow2Len = 1 << ilog2ceil(n); + void scan(int n, int* odata, const int* idata) { + int nCeil = 1 << ilog2ceil(n); + // Up-sweep int* dev_data; - cudaMalloc(&dev_data, pow2Len * sizeof(int)); - cudaMemset(dev_data, 0, pow2Len * sizeof(int)); - cudaMemcpy(dev_data, idata, n * sizeof(int), cudaMemcpyHostToDevice); - - int blockSize = 128; - for (int d = 1; d <= ilog2ceil(pow2Len); ++d) { - int twod = 1 << (d - 1); - int twod1 = 1 << d; - int numThreads = pow2Len / twod1; - int numBlocks = (numThreads + blockSize - 1) / blockSize; - upsweep << > > (dev_data, twod, twod1, pow2Len); - cudaDeviceSynchronize(); - } + cudaMalloc((void**)&dev_data, nCeil * sizeof(int)); + checkCUDAError("cudaMalloc dev_data failed!"); - cudaMemset(dev_data + pow2Len - 1, 0, sizeof(int)); // zero for exclusive + cudaMemcpy(dev_data, idata, n * sizeof(int), cudaMemcpyHostToDevice); + checkCUDAError("cudaMemcpy idata->dev_data failed!"); - for (int d = ilog2ceil(pow2Len); d >= 1; --d) { - int twod = 1 << (d - 1); - int twod1 = 1 << d; - int numThreads = pow2Len / twod1; - int numBlocks = (numThreads + blockSize - 1) / blockSize; - downsweep << > > (dev_data, twod, twod1, pow2Len); - cudaDeviceSynchronize(); - } + timer().startGpuTimer(); + scan_gpu(nCeil, dev_data); + timer().endGpuTimer(); cudaMemcpy(odata, dev_data, n * sizeof(int), cudaMemcpyDeviceToHost); - cudaFree(dev_data); + checkCUDAError("cudaMemcpy dev_data->odata failed!"); - if (timing) timer().endGpuTimer(); - } - - void scan(int n, int* odata, const int* idata) { - scan_internal(n, odata, idata, true); + // Clean up + cudaFree(dev_data); } - /** * Performs stream compaction on idata, storing the result into odata. * All zeroes are discarded. @@ -89,51 +102,51 @@ namespace StreamCompaction { * @returns The number of elements remaining after compaction. */ int compact(int n, int* odata, const int* idata) { - int* dev_idata, * dev_bools, * dev_indices, * dev_odata; + int nCeil = 1 << ilog2ceil(n); + size_t sizeOfArrays = nCeil * sizeof(int); - int pow2n = 1 << ilog2ceil(n); - cudaMalloc(&dev_idata, pow2n * sizeof(int)); - cudaMalloc(&dev_bools, pow2n * sizeof(int)); - cudaMalloc(&dev_indices, pow2n * sizeof(int)); - cudaMalloc(&dev_odata, pow2n * sizeof(int)); - cudaMemset(dev_odata, 0, pow2n * sizeof(int)); + int* dev_bools; + cudaMalloc((void**)&dev_bools, sizeOfArrays); + checkCUDAError("cudaMalloc dev_bools failed!"); - cudaMemcpy(dev_idata, idata, n * sizeof(int), cudaMemcpyHostToDevice); + int* dev_indices; + cudaMalloc((void**)&dev_indices, sizeOfArrays); + checkCUDAError("cudaMalloc dev_indices failed!"); - timer().startGpuTimer(); + thrust::device_ptr dev_thrust_indices(dev_indices); + thrust::device_ptr dev_thrust_bools(dev_bools); - int blockSize = 128; - int numBlocks = (n + blockSize - 1) / blockSize; + int* dev_idata; + cudaMalloc((void**)&dev_idata, sizeOfArrays); + checkCUDAError("cudaMalloc dev_idata failed!"); - StreamCompaction::Common::kernMapToBoolean << > > ( - n, dev_bools, dev_idata); - cudaDeviceSynchronize(); + int* dev_odata; + cudaMalloc((void**)&dev_odata, sizeOfArrays); + checkCUDAError("cudaMalloc dev_odata failed!"); - scan_internal(n, dev_indices, dev_bools, false); - cudaDeviceSynchronize(); + cudaMemcpy(dev_idata, idata, n * sizeof(int), cudaMemcpyHostToDevice); + checkCUDAError("cudaMemcpy idata->dev_idata failed!"); - StreamCompaction::Common::kernScatter << > > ( - n, dev_odata, dev_idata, dev_bools, dev_indices); - cudaDeviceSynchronize(); + dim3 threadsPerBlock(blockSize); + dim3 blocksPerGrid((n + blockSize - 1) / blockSize); - timer().endGpuTimer(); + timer().startGpuTimer(); + Common::kernMapToBoolean << > > (nCeil, dev_bools, dev_idata); + checkCUDAError("kernMapToBoolean launch failed!"); - int count; - cudaMemcpy(&count, dev_indices + n - 1, sizeof(int), cudaMemcpyDeviceToHost); + cudaMemcpy(dev_indices, dev_bools, sizeOfArrays, cudaMemcpyDeviceToDevice); + checkCUDAError("cudaMemcpy dev_bools->dev_indices failed!"); + scan_gpu(nCeil, dev_indices); - int lastBool; - cudaMemcpy(&lastBool, dev_bools + n - 1, sizeof(int), cudaMemcpyDeviceToHost); - count += lastBool; + int numRemaining = dev_thrust_indices[n - 1] + dev_thrust_bools[n - 1]; - cudaMemcpy(odata, dev_odata, count * sizeof(int), cudaMemcpyDeviceToHost); + Common::kernScatter << > > (nCeil, dev_odata, dev_idata, dev_bools, dev_indices); + checkCUDAError("kernScatter launch failed!"); + timer().endGpuTimer(); - cudaFree(dev_idata); - cudaFree(dev_bools); - cudaFree(dev_indices); - cudaFree(dev_odata); + cudaMemcpy(odata, dev_odata, numRemaining * sizeof(int), cudaMemcpyDeviceToHost); - return count; + return numRemaining; } - } } \ No newline at end of file diff --git a/stream_compaction/naive.cu b/stream_compaction/naive.cu index ebf5058..6cfa412 100644 --- a/stream_compaction/naive.cu +++ b/stream_compaction/naive.cu @@ -45,11 +45,11 @@ namespace StreamCompaction { timer().startGpuTimer(); for (int d = 1; d <= depth; d++) { naiveScanStep << > > (n, d, dev_ping, dev_pong); - //cudaDeviceSynchronize(); // Swap buffers std::swap(dev_ping, dev_pong); } + cudaDeviceSynchronize(); timer().endGpuTimer(); // dev_ping now has the inclusive scan result diff --git a/visualization/best_bs_effScan.py b/visualization/best_bs_effScan.py new file mode 100644 index 0000000..fc793df --- /dev/null +++ b/visualization/best_bs_effScan.py @@ -0,0 +1,23 @@ +import pandas as pd +import matplotlib.pyplot as plt +import numpy as np + +df = pd.read_csv("scan_size_results.csv") # Make sure this filename matches yours + +x_labels = [f'$2^{{{int(np.log2(n))}}}$' for n in df['N']] + + +plt.figure(figsize=(12, 6)) +plt.bar(x_labels[1:8], df['Efficient(ms)'][1 + :8], color='green') + + +plt.xlabel('Input Size (N)') +plt.ylabel('Efficient GPU Scan Time (ms)') +plt.title('Efficient GPU Scan Runtime Across Input Sizes (Best Observed)') +plt.xticks(rotation=45) +plt.grid(axis='y', linestyle='--', linewidth=0.5) +plt.tight_layout() + +plt.savefig('efficient_scan_bar_plot.png') +plt.show() diff --git a/visualization/compact_plot.py b/visualization/compact_plot.py new file mode 100644 index 0000000..a6dceba --- /dev/null +++ b/visualization/compact_plot.py @@ -0,0 +1,26 @@ +import matplotlib.pyplot as plt +import pandas as pd +import numpy as np + + +df = pd.read_csv("compact_size_results.csv") + +plt.figure(figsize=(10, 6)) +plt.yscale('log') + +plt.plot(df['N'], df['CPU_NoScan(ms)'], label='CPU', marker='o') +plt.plot(df['N'], df['CPU_WithScan(ms)'], label='CPU with Scan', marker='o') +plt.plot(df['N'], df['GPU_Efficient(ms)'], label='Efficient GPU Scan', marker='o') + + +plt.xscale('log', base=2) +plt.xticks(df['N'], labels=[f'2^{int(np.log2(n))}' for n in df['N']], rotation=45) +plt.xlabel('Input Size (N)') +plt.ylabel('Elapsed Time (ms)') +plt.title('Compact Elapsed Time vs Input Size (Block Size = 256)') +plt.grid(True, which="both", linestyle='--', linewidth=0.5) +plt.legend() +plt.tight_layout() + +plt.savefig('compact_size_plot.png') +plt.show() diff --git a/visualization/compact_size_plot.png b/visualization/compact_size_plot.png new file mode 100644 index 0000000000000000000000000000000000000000..d9f9b54378ed3fdfbd7ea47ae7ad0c04745a8bf6 GIT binary patch literal 115884 zcmb@ubzD_#w>7*G#RSAaM8ZY|L{cPe3_?UeX$0x+21P|gKt)CAP*5r929Z)}=`QK+ zhIg#{IZu4&eb0G3=lA`Az?Qw&T35_D<``pM?l&aGD7VmWA(2RwSFc>WNg|Q=lSu1s 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+ +plt.xscale('log', base=2) +plt.xticks(df['N'], labels=[f'2^{int(np.log2(n))}' for n in df['N']], rotation=45) +plt.xlabel('Input Size (N)') +plt.ylabel('Elapsed Time (ms)') +plt.title('Scan Elapsed Time vs Input Size (Block Size = 256)') +plt.grid(True, which="both", linestyle='--', linewidth=0.5) +plt.legend() +plt.tight_layout() + +plt.savefig('scan_size_plot.png') +plt.show() diff --git a/visualization/scan_size_plot_13_27.png b/visualization/scan_size_plot_13_27.png new file mode 100644 index 0000000000000000000000000000000000000000..ec5e48cb35802a2edfe2ab9ce88b437bf8435066 GIT binary patch literal 114054 zcmce;cRZJE{|BtSHwhUMRUsjS>{&u~_U3t? z*SLSb>$Yu7#z6nduoeP7XE> z7P{M3R(C7~*x60~^A~Jp7W(WjEpA%iDm(6oD_N3|?9(E?HoQF-Ye2Grghb*u(HnN5 zqg}Rkq)i_xCMU*YjD4g}ggs!`f8he%gD;zJJiS4dTEcYvvBM?fSEp=54;2gv{QS>V+%&iRwoUD?Hxb>Rc=zY4UH|i2vi;On|GBJa>c+pn>G}VUZyG{MOItVF zqH*;Zjqn{StFpSfXWvTQr(3n3Ddig`1@jmk-uduNlk4T6prBKvJDZc$jPj~%o-1YO 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++++++++++--------- 1 file changed, 10 insertions(+), 9 deletions(-) diff --git a/README.md b/README.md index 70ac013..f0a4f49 100644 --- a/README.md +++ b/README.md @@ -60,6 +60,7 @@ The primary goals of this project were: - GPU timings use CUDA events; CPU uses standard timers. - Results written to CSV files for analysis. +--- ## Test Cases Summary @@ -77,7 +78,6 @@ Tested scan variants include CPU, naive GPU, work-efficient GPU, Thrust, and sha | Shared memory naive scan | 512, 500, 32 | Small sizes for validating shared mem behavior | | Shared memory efficient scan | 512, 32 | Efficient scan in shared memory with loop unrolling | ---- ### Stream Compaction Tests Tested both CPU and GPU compaction with and without scan, for both power-of-two and non-power-of-two sizes. @@ -88,8 +88,6 @@ Tested both CPU and GPU compaction with and without scan, for both power-of-two | CPU compaction with scan | 524,288 | Uses scan + scatter | | Work-efficient GPU compaction (POT / NPOT) | 524,288 / 393,931 | Uses map-to-boolean + scan + scatter | ---- - ### Radix Sort Tests Includes correctness tests for various distributions and sizes, with special cases and large arrays. @@ -104,7 +102,7 @@ Includes correctness tests for various distributions and sizes, with special cas | Large array (non-power-of-two) | 65,519 | Non-POT performance and correctness | | Nearly sorted array with random swaps | 16,384 | Realistic scenario with small local disorder | - +--- ## Test Output Summary Below are the results from running the full test suite, including scan, stream compaction, and radix sort performance and correctness checks. @@ -213,32 +211,34 @@ Below are the results from running the full test suite, including scan, stream c ``` +--- ## Scan Runtime Analysis The figure below shows the elapsed time (in milliseconds) of four scan implementations measured across input sizes ranging from \(2^{13}\) to \(2^{27}\), using a fixed block size of 256. All tests were run in **Release mode** to ensure optimized performance, particularly for the Thrust-based implementation. -![Scan Elapsed Time Plot](visualization/scan_size_plot_13_27.png.png) +![Scan Elapsed Time Plot](visualization/scan_size_plot_13_27.png) ### Key Observations -#### Performance at Small Sizes (\(2^{13} \to 2^{17}\)) +#### Performance at Small Sizes (\(2^{13} → 2^{17}\)) - **Thrust Scan** performs exceptionally well, benefiting from Release-mode optimizations that eliminate overhead seen in debug builds. - **Efficient GPU Scan** is also strong in this range, clearly outperforming the naive version. - **CPU Scan** starts very fast but scales poorly beyond this point. -#### Mid-Range Sizes (\(2^{18} \to 2^{24}\)) +#### Mid-Range Sizes (\(2^{18} → 2^{24}\)) - **Thrust Scan** continues to lead, maintaining low latency while other methods begin to scale more steeply. - **Naive GPU Scan** begins to show inefficiencies due to redundant memory access and higher algorithmic complexity. - **Efficient GPU Scan** remains competitive but starts to lag behind Thrust. -#### Large Sizes (\(2^{25} \to 2^{27}\)) +#### Large Sizes (\(2^{25} → 2^{27}\)) - **Thrust Scan** remains the fastest and scales efficiently, highlighting its well-optimized internal operations. - **Naive GPU Scan** slows down significantly due to its \(O(n \log n)\) complexity and less efficient memory use. - **CPU Scan** becomes the slowest by far, with consistent linear growth. Overall, Thrust offers the best performance across all input sizes when compiled in Release mode, while the Efficient GPU Scan provides a solid custom alternative with strong performance at small to mid-range sizes. The CPU scan, although fast for small inputs, follows a linear \(O(n)\) time complexity and becomes the slowest as input sizes grow. +--- ## Compact Runtime Analysis @@ -249,7 +249,7 @@ The plot below shows the runtime performance (in milliseconds) of three differen ### Key Observations #### CPU vs CPU with Scan -- For small input sizes (\(N \leq 2^{16}\)), both CPU variants show very similar runtimes, indicating that the scan step contributes little overhead in this range. +- For small input sizes (\(N ≤ 2^{16}\)), both CPU variants show very similar runtimes, indicating that the scan step contributes little overhead in this range. - As \(N\) increases, "CPU with Scan" becomes slightly slower than CPU-only compaction due to the added cost of prefix sum computation. - Both exhibit consistent linear growth on the log-log plot, confirming the expected **\(O(n)\)** time complexity for serial execution. @@ -260,6 +260,7 @@ The plot below shows the runtime performance (in milliseconds) of three differen - Increased number of kernel launches - Even at \(N = 2^{27}\), GPU runtime remains well under 50 ms — significantly outperforming the CPU implementations, which exceed 100 ms at that scale. +--- ## Efficient GPU Scan Runtime Analysis (Global Memory Implementation) From 937cd9628ac42dba025102e81acac43d252b8577 Mon Sep 17 00:00:00 2001 From: Yi Liu Date: Thu, 29 May 2025 19:57:24 -0400 Subject: [PATCH 12/19] update readme --- README.md | 71 ++++++++++++++------------ visualization/compact_size_results.csv | 46 ++++++++--------- visualization/scan_size_results.csv | 46 ++++++++--------- 3 files changed, 83 insertions(+), 80 deletions(-) diff --git a/README.md b/README.md index f0a4f49..82c7b89 100644 --- a/README.md +++ b/README.md @@ -22,7 +22,6 @@ The primary goals of this project were: - Implement different versions of stream compaction on the GPU. - Compare them against a CPU baseline. - Investigate performance characteristics and bottlenecks. -- Explore scan implementations as subroutines. --- @@ -55,10 +54,14 @@ The primary goals of this project were: #### • Thrust Library Scan - Calls `thrust::exclusive_scan()` as a baseline for optimized GPU performance. -### 4. **Benchmarking & Performance Comparison** -- All implementations were benchmarked for varying input sizes. -- GPU timings use CUDA events; CPU uses standard timers. -- Results written to CSV files for analysis. +### 4. **GPU Radix Sort** +- Implements a multi-pass Least Significant Bit (LSB) radix sort for 32-bit integers. +- Each pass processes a single bit of all elements, classifying values based on 0 or 1 at that bit. +- Performs bit extraction, scan on inverted bits, and scatter to sort data based on the current bit. +- Uses the previously implemented work-efficient scan as a prefix sum primitive. +- Buffers are swapped each round to maintain sorted data across 32 passes. +- Suitable for sorting integer keys; stable and parallel-friendly. + --- @@ -114,44 +117,44 @@ Below are the results from running the full test suite, including scan, stream c **************** ** SCAN TESTS ** **************** - [ 9 48 21 27 35 11 8 3 34 0 0 0 38 ... 2 0 ] + [ 13 15 38 42 24 6 45 5 44 36 49 23 31 ... 8 0 ] ==== cpu scan, power-of-two ==== - elapsed time: 23.1201ms (std::chrono Measured) - [ 0 9 57 78 105 140 151 159 162 196 196 196 196 ... 410887318 410887320 ] + elapsed time: 175.799ms (std::chrono Measured) + [ 0 13 28 66 108 132 138 183 188 232 268 317 340 ... -1007801046 -1007801038 ] ==== cpu scan, non-power-of-two ==== - elapsed time: 23.2731ms (std::chrono Measured) - [ 0 9 57 78 105 140 151 159 162 196 196 196 196 ... 410887242 410887288 ] + elapsed time: 176.075ms (std::chrono Measured) + [ 0 13 28 66 108 132 138 183 188 232 268 317 340 ... -1007801093 -1007801087 ] passed ==== naive scan, power-of-two ==== - elapsed time: 5.2679ms (CUDA Measured) + elapsed time: 34.0388ms (CUDA Measured) passed ==== naive scan, non-power-of-two ==== - elapsed time: 4.88928ms (CUDA Measured) + elapsed time: 33.9692ms (CUDA Measured) passed ==== work-efficient scan, power-of-two ==== - elapsed time: 15.4344ms (CUDA Measured) + elapsed time: 13.3369ms (CUDA Measured) passed ==== work-efficient scan, non-power-of-two ==== - elapsed time: 15.4737ms (CUDA Measured) + elapsed time: 12.9604ms (CUDA Measured) passed ==== thrust scan, power-of-two ==== - elapsed time: 53.3576ms (CUDA Measured) + elapsed time: 1.2496ms (CUDA Measured) passed ==== thrust scan, non-power-of-two ==== - elapsed time: 24.6813ms (CUDA Measured) + elapsed time: 1.21722ms (CUDA Measured) passed ==== shared memory naive scan, power-of-two ==== - elapsed time: 0.334848ms (CUDA Measured) + elapsed time: 0.005248ms (CUDA Measured) passed ==== shared memory naive scan, non-power-of-two ==== - elapsed time: 0.013312ms (CUDA Measured) + elapsed time: 0.00512ms (CUDA Measured) passed ==== shared memory naive scan, small manual ==== - elapsed time: 0ms (CUDA Measured) + elapsed time: 0.004096ms (CUDA Measured) [ 0 0 1 3 6 10 10 11 13 16 20 20 21 ... 60 60 ] passed ==== shared memory efficient scan, power-of-two ==== - elapsed time: 0.361472ms (CUDA Measured) + elapsed time: 0.00512ms (CUDA Measured) passed ==== shared memory efficient scan, small manual ==== passed @@ -159,26 +162,26 @@ Below are the results from running the full test suite, including scan, stream c ***************************** ** STREAM COMPACTION TESTS ** ***************************** - [ 3 0 3 3 1 3 0 1 0 0 0 2 2 ... 2 0 ] + [ 2 1 2 2 2 0 2 3 1 0 3 3 0 ... 0 0 ] ==== cpu compact without scan, power-of-two ==== - elapsed time: 42.3429ms (std::chrono Measured) - [ 3 3 3 1 3 1 2 2 3 3 1 3 2 ... 2 2 ] + elapsed time: 239.519ms (std::chrono Measured) + [ 2 1 2 2 2 2 3 1 3 3 1 3 1 ... 3 2 ] passed ==== cpu compact without scan, non-power-of-two ==== - elapsed time: 43.0611ms (std::chrono Measured) - [ 3 3 3 1 3 1 2 2 3 3 1 3 2 ... 1 2 ] + elapsed time: 238.586ms (std::chrono Measured) + [ 2 1 2 2 2 2 3 1 3 3 1 3 1 ... 2 3 ] passed ==== cpu compact with scan ==== - elapsed time: 23.6391ms (std::chrono Measured) - [ 3 3 3 1 3 1 2 2 3 3 1 3 2 ... 2 2 ] + elapsed time: 217.626ms (std::chrono Measured) + [ 2 1 2 2 2 2 3 1 3 3 1 3 1 ... 3 2 ] passed ==== work-efficient compact, power-of-two ==== - elapsed time: 4.49686ms (CUDA Measured) - [ 3 3 3 1 3 1 2 2 3 3 1 3 2 ... 2 2 ] + elapsed time: 33.9799ms (CUDA Measured) + [ 2 1 2 2 2 2 3 1 3 3 1 3 1 ... 3 2 ] passed ==== work-efficient compact, non-power-of-two ==== - elapsed time: 4.20435ms (CUDA Measured) - [ 3 3 3 1 3 1 2 2 3 3 1 3 2 ... 1 2 ] + elapsed time: 33.5489ms (CUDA Measured) + [ 2 1 2 2 2 2 3 1 3 3 1 3 1 ... 2 3 ] passed *********************** @@ -200,13 +203,13 @@ Below are the results from running the full test suite, including scan, stream c [ 0 1 1 2 3 3 5 7 9 ] passed ==== radix sort - large array (pow2) ==== - elapsed time: 0.43328ms (CUDA Measured) + elapsed time: 0.174848ms (CUDA Measured) passed ==== radix sort - large array (non-pow2) ==== - elapsed time: 0.444416ms (CUDA Measured) + elapsed time: 0.200704ms (CUDA Measured) passed ==== radix sort - nearly sorted with random swaps ==== - elapsed time: 0.873472ms (CUDA Measured) + elapsed time: 0.233664ms (CUDA Measured) passed ``` diff --git a/visualization/compact_size_results.csv b/visualization/compact_size_results.csv index e7c67d1..e715c8b 100644 --- a/visualization/compact_size_results.csv +++ b/visualization/compact_size_results.csv @@ -1,24 +1,24 @@ N,CPU_NoScan(ms),CPU_WithScan(ms),GPU_Efficient(ms),placeholder -32,0.0001,0,0.172032,0 -64,0.0002,0.0001,0.135168,0 -128,0.0003,0.0002,0.164864,0 -256,0.0006,0.0004,0.123904,0 -512,0.0009,0.0007,0.165888,0 -1024,0.0018,0.0014,0.308224,0 -2048,0.0035,0.0027,0.18944,0 -4096,0.007,0.0054,0.31744,0 -8192,0.0138,0.0108,0.320512,0 -16384,0.0327,0.0216,0.330752,0 -32768,0.0541,0.0432,0.347744,0 -65536,0.1089,0.1092,0.276064,0 -131072,0.2152,0.2224,0.338912,0 -262144,0.4253,0.4332,0.355136,0 -524288,0.8478,0.8582,0.35472,0 -1048576,2.0168,1.6723,0.445376,0 -2097152,3.5597,3.3902,0.485664,0 -4194304,7.6165,6.983,0.569408,0 -8388608,14.4262,13.5574,0.856064,0 -16777216,30.3332,29.0396,1.64064,0 -33554432,59.606,54.2127,4.36982,0 -67108864,117.607,107.069,8.72858,0 -134217728,239.759,216.522,33.2937,0 +32,0.0001,0.0001,0.145408,0 +64,0.0002,0.0001,0.130144,0 +128,0.0003,0.0002,0.169984,0 +256,0.0006,0.0004,0.160768,0 +512,0.001,0.0007,0.346144,0 +1024,0.0019,0.0014,0.144384,0 +2048,0.004,0.0027,0.167936,0 +4096,0.0068,0.0054,0.249856,0 +8192,0.0131,0.0109,0.219136,0 +16384,0.0283,0.0218,0.236544,0 +32768,0.0531,0.0429,0.235744,0 +65536,0.1104,0.1065,0.228384,0 +131072,0.205,0.203,0.28896,0 +262144,0.4296,0.4994,0.424192,0 +524288,0.8932,0.8338,0.365728,0 +1048576,1.9412,1.6671,0.45824,0 +2097152,3.7989,3.3785,0.522208,0 +4194304,7.3658,6.8169,0.544672,0 +8388608,15.5282,13.5069,0.803296,0 +16777216,29.3663,26.7081,2.29613,0 +33554432,59.9327,53.0297,4.73888,0 +67108864,118.652,107.464,8.74166,0 +134217728,239.519,217.626,33.9799,0 diff --git a/visualization/scan_size_results.csv b/visualization/scan_size_results.csv index a26ed60..b5c577d 100644 --- a/visualization/scan_size_results.csv +++ b/visualization/scan_size_results.csv @@ -1,24 +1,24 @@ N,CPU(ms),Naive(ms),Efficient(ms),Thrust(ms) -32,0.0002,0.078848,0.714752,0.054272 -64,0.0001,0.088256,0.202752,0.020608 -128,0.0002,0.038912,0.073728,0.021376 -256,0.0004,0.033792,0.072704,0.037216 -512,0.0007,0.03792,0.07168,0.021568 -1024,0.0014,0.051488,0.2048,0.036864 -2048,0.0028,0.150848,0.12288,0.045056 -4096,0.0054,0.427008,0.2048,0.031488 -8192,0.0107,0.147456,0.229376,0.03152 -16384,0.0217,0.14048,0.217088,0.0232 -32768,0.0429,0.098144,0.262912,0.032736 -65536,0.086,0.171904,0.269536,0.033696 -131072,0.1722,0.19376,0.270752,0.0256 -262144,0.3392,0.267904,0.256096,0.065536 -524288,0.7777,0.250112,0.280864,0.066144 -1048576,1.4798,0.256224,0.411456,0.088064 -2097152,2.7349,0.34656,0.28576,0.039936 -4194304,5.7117,0.476,0.337056,0.073728 -8388608,11.214,0.775744,0.590048,0.07184 -16777216,22.3268,3.66554,0.988992,0.20464 -33554432,44.253,7.87965,3.17453,0.365568 -67108864,88.5015,16.4404,6.50669,0.628736 -134217728,176.424,69.4596,13.335,1.24861 +32,0.0001,0.074752,0.512,0.117472 +64,0.0001,0.09216,0.34816,0.054272 +128,0.0002,0.029696,0.0768,0.019392 +256,0.0003,0.027648,0.067584,0.019456 +512,0.0007,0.034144,0.102784,0.018688 +1024,0.0014,0.057344,0.077824,0.026624 +2048,0.0028,0.106496,0.096256,0.019456 +4096,0.0055,0.090272,0.108544,0.020192 +8192,0.0108,0.068608,0.10752,0.019456 +16384,0.02,0.152576,0.13728,0.019648 +32768,0.043,0.127328,0.170752,0.019744 +65536,0.0848,0.101344,0.155104,0.042208 +131072,0.1722,0.175552,0.176288,0.021184 +262144,0.3839,0.18528,0.20816,0.029312 +524288,0.6855,0.202432,0.227232,0.03584 +1048576,1.3641,0.245024,0.318432,0.039904 +2097152,2.7522,0.383232,0.481856,0.039936 +4194304,4.9733,0.649376,0.445728,0.073088 +8388608,10.8945,0.771616,0.58432,0.055392 +16777216,22.0545,4.1615,1.37517,0.181248 +33554432,43.7803,7.62749,3.17843,0.33792 +67108864,88.0304,15.9948,6.39859,0.650368 +134217728,175.799,34.0388,13.3369,1.2496 From 721d1ab061f1e09bca97f18e6a81cc9af00b1dbf Mon Sep 17 00:00:00 2001 From: Yi Liu Date: Thu, 29 May 2025 20:09:31 -0400 Subject: [PATCH 13/19] update readme --- README.md | 14 +++++++------- 1 file changed, 7 insertions(+), 7 deletions(-) diff --git a/README.md b/README.md index 82c7b89..bd2aab3 100644 --- a/README.md +++ b/README.md @@ -226,17 +226,18 @@ The figure below shows the elapsed time (in milliseconds) of four scan implement #### Performance at Small Sizes (\(2^{13} → 2^{17}\)) - **Thrust Scan** performs exceptionally well, benefiting from Release-mode optimizations that eliminate overhead seen in debug builds. -- **Efficient GPU Scan** is also strong in this range, clearly outperforming the naive version. +- **Naive GPU Scan** outperforms the Efficient GPU Scan in this range. This may be due to: + - Fewer kernel launches (one per depth level with simpler memory patterns) + - Lower overhead from global memory usage per pass - **CPU Scan** starts very fast but scales poorly beyond this point. -#### Mid-Range Sizes (\(2^{18} → 2^{24}\)) +#### Mid-Range Sizes (\(2^{18} → 2^{20}\)) - **Thrust Scan** continues to lead, maintaining low latency while other methods begin to scale more steeply. - **Naive GPU Scan** begins to show inefficiencies due to redundant memory access and higher algorithmic complexity. -- **Efficient GPU Scan** remains competitive but starts to lag behind Thrust. -#### Large Sizes (\(2^{25} → 2^{27}\)) +#### Large Sizes (\(2^{21} → 2^{27}\)) - **Thrust Scan** remains the fastest and scales efficiently, highlighting its well-optimized internal operations. -- **Naive GPU Scan** slows down significantly due to its \(O(n \log n)\) complexity and less efficient memory use. +- **Naive GPU Scan** slows down due to its \(O(n \log n)\) complexity and less efficient memory use. - **CPU Scan** becomes the slowest by far, with consistent linear growth. Overall, Thrust offers the best performance across all input sizes when compiled in Release mode, while the Efficient GPU Scan provides a solid custom alternative with strong performance at small to mid-range sizes. The CPU scan, although fast for small inputs, follows a linear \(O(n)\) time complexity and becomes the slowest as input sizes grow. @@ -253,11 +254,10 @@ The plot below shows the runtime performance (in milliseconds) of three differen #### CPU vs CPU with Scan - For small input sizes (\(N ≤ 2^{16}\)), both CPU variants show very similar runtimes, indicating that the scan step contributes little overhead in this range. -- As \(N\) increases, "CPU with Scan" becomes slightly slower than CPU-only compaction due to the added cost of prefix sum computation. - Both exhibit consistent linear growth on the log-log plot, confirming the expected **\(O(n)\)** time complexity for serial execution. #### Efficient GPU Scan -- The GPU implementation shows near-constant runtime across small and mid-sized inputs (up to \(2^{21}\)), demonstrating excellent scalability due to parallel execution and efficient memory usage. +- The GPU implementation shows near-constant runtime across small and mid-sized inputs (up to \(2^{21}\)), demonstrating its scalability due to parallel execution and efficient memory usage. - Beyond \(2^{21}\), the runtime begins to increase gradually. This likely reflects: - The need to process more data in global memory - Increased number of kernel launches From e681ace757ae17afc2897a0b63d0da8853c116a8 Mon Sep 17 00:00:00 2001 From: Yi Liu Date: Thu, 29 May 2025 20:13:36 -0400 Subject: [PATCH 14/19] update readme --- README.md | 11 +++-------- 1 file changed, 3 insertions(+), 8 deletions(-) diff --git a/README.md b/README.md index bd2aab3..420acef 100644 --- a/README.md +++ b/README.md @@ -273,8 +273,8 @@ The bar chart below displays the runtime (in milliseconds) of a work-efficient B ### Key Observations -- For mid-sized inputs (\(2^6\) to \(2^9\)), the scan shows consistently low runtimes (~0.07 ms), indicating effective thread-level parallelism despite global memory latency. -- Noticeable spikes occur at sizes \(2^5\), \(2^{10}\), and \(2^{13}\), where runtime increases by 2–3× compared to neighboring sizes. These performance dips likely stem from: +- For mid-sized inputs (\(2^7\) to \(2^9\)), the scan shows consistently low runtimes (~0.07 ms), indicating effective thread-level parallelism despite global memory latency. +- Noticeable spikes occur at sizes \(2^6\), \(2^{10}\), and \(2^{12}\), where runtime increases by 2–3× compared to neighboring sizes. These performance dips likely stem from: - **Uncoalesced memory access** due to thread divergence at these specific sizes - **Extra overhead** from partial warp utilization or thread underpopulation in early/late stages of the scan - **Depth-related kernel launches**: For \(N = 2^{13}\), the number of upsweep and downsweep steps increases, amplifying launch and global memory access costs @@ -282,9 +282,4 @@ The bar chart below displays the runtime (in milliseconds) of a work-efficient B ### Best Performance -The most optimal performance is observed between \(2^6\) and \(2^9\), where the runtime stabilizes around **0.07 ms**. These sizes likely strike a balance where: -- The number of elements fits well within available thread blocks, -- Memory access patterns remain more coalesced, -- And kernel launch overhead is minimal due to shallower recursion depths in the scan tree. - -This range can be considered the **sweet spot** for this global memory-based scan implementation, offering the lowest latency and most consistent performance across all tested input sizes. +The most optimal performance is observed between \(2^7\) and \(2^9\), where the runtime stabilizes around **0.07 ms**. This range can be considered the **sweet spot** for this global memory-based scan implementation, offering the lowest latency and most consistent performance across all tested input sizes. From afafc6bb5a6b4e4a91bc83cf073dbb7a32557a8b Mon Sep 17 00:00:00 2001 From: Yi Liu Date: Thu, 29 May 2025 21:41:45 -0400 Subject: [PATCH 15/19] update question --- README.md | 55 +++++++++++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 55 insertions(+) diff --git a/README.md b/README.md index 420acef..fa92a51 100644 --- a/README.md +++ b/README.md @@ -283,3 +283,58 @@ The bar chart below displays the runtime (in milliseconds) of a work-efficient B ### Best Performance The most optimal performance is observed between \(2^7\) and \(2^9\), where the runtime stabilizes around **0.07 ms**. This range can be considered the **sweet spot** for this global memory-based scan implementation, offering the lowest latency and most consistent performance across all tested input sizes. + +--- + +## Part 5: Why Is My Efficient GPU Scan Sometimes Slower Than CPU and Even Slower Than Naive? + +The efficient GPU scan, although theoretically better in terms of work complexity \(O(n)\), is sometimes slower than both the CPU scan and the naive GPU scan. After analyzing my implementation and reviewing how GPUs work, here is my explanation: + +### kernel launch overhead becomes significant +In my implementation, for each depth level of both upsweep and downsweep, I launch a separate kernel. Since the depth is \(\log_2(n)\), I am launching multiple kernels even for small input sizes. +On GPUs, kernel launches have some non-negligible overhead, especially when the amount of computation per launch is small. When input size is small, the kernel launch overhead actually dominates the total runtime. +In contrast, CPU scan uses a simple loop without any such overhead. + +### thread utilization becomes poor at deeper levels +At each level \(d\), the number of active threads launched is reduced: +- At the first level, many threads are working. +- As \(d\) increases, fewer and fewer threads are needed. +- For very deep levels, I might be launching blocks where only a few threads are doing useful work while many others are idle. + +This results in low occupancy and poor utilization of GPU resources. Even though many threads exist, most of them are effectively "lazy" and just sitting idle at deeper levels. + +### global memory access pattern is inefficient +In each kernel, threads read and write data directly to global memory: +- The access pattern involves strided addresses like `data[k + (1 << d) - 1]` and `data[k + (1 << (d + 1)) - 1]`. +- As \(d\) increases, these strides get larger, and global memory accesses become more scattered and less coalesced. +- Uncoalesced memory access wastes memory bandwidth and increases latency. + +On the CPU, memory access is sequential and benefits from caching, which makes its memory much more efficient. + +## Summary Table + +| Factor | CPU Scan | Naive GPU Scan | Efficient GPU Scan | +|--------|----------|----------------|---------------------| +| Complexity | \(O(n)\) | \(O(n \log n)\) | \(O(n)\) | +| Memory Pattern | Sequential | Coalesced | Strided (degrades at deeper levels) | +| Kernel Launches | 1 | \(\log n\) | \(2 \log n\) | +| Warp Utilization | N/A | High | Drops significantly at deeper levels | +| Global Memory Traffic | Low | Moderate | High | + +--- + +## Extra Credit Summary + +For the extra credit, I implemented several additional features and optimizations beyond the baseline requirements: + +1. **Shared Memory Optimized Naive Scan (`sharednaivemem.cu/h`)** + - Added shared memory support to the naive scan to reduce global memory traffic and improve performance on small input sizes. + +2. **Shared Memory Optimized Work-Efficient Scan (`sharedefficientmem.cu/h`)** + - Applied shared memory to the work-efficient scan, optimizing intra-block upsweep and downsweep phases to minimize global memory accesses. + +3. **Radix Sort Implementation (`radix.cu/h`)** + - Implemented Least Significant Bit (LSB) Radix Sort using scan as a building block to perform bitwise sorting across 32 passes. + +4. **Extra Credit Question: Why Efficient Scan Can Be Slower** + - Provided a explanation on why the efficient scan may perform worse than naive scan or CPU scan for certain input sizes, due to factors such as kernel launch overhead, low thread occupancy at deeper levels, and non-coalesced memory accesses. From 8f980eba2666c843322f05f22b06917ccce17f2f Mon Sep 17 00:00:00 2001 From: Yi Liu Date: Thu, 29 May 2025 21:51:02 -0400 Subject: [PATCH 16/19] update readme --- README.md | 13 +++++++------ 1 file changed, 7 insertions(+), 6 deletions(-) diff --git a/README.md b/README.md index fa92a51..041a73b 100644 --- a/README.md +++ b/README.md @@ -40,7 +40,7 @@ The primary goals of this project were: ### 3. **Scan Implementations (for Compaction Support)** #### • Naive GPU Scan -- Textbook parallel scan with \( O(n \log n) \) operations. +- Textbook parallel scan with \( O(n log n) \) operations. - New kernel launched at every depth level. #### • Work-Efficient GPU Scan (Blelloch) @@ -237,7 +237,7 @@ The figure below shows the elapsed time (in milliseconds) of four scan implement #### Large Sizes (\(2^{21} → 2^{27}\)) - **Thrust Scan** remains the fastest and scales efficiently, highlighting its well-optimized internal operations. -- **Naive GPU Scan** slows down due to its \(O(n \log n)\) complexity and less efficient memory use. +- **Naive GPU Scan** slows down due to its \(O(n log n)\) complexity and less efficient memory use. - **CPU Scan** becomes the slowest by far, with consistent linear growth. Overall, Thrust offers the best performance across all input sizes when compiled in Release mode, while the Efficient GPU Scan provides a solid custom alternative with strong performance at small to mid-range sizes. The CPU scan, although fast for small inputs, follows a linear \(O(n)\) time complexity and becomes the slowest as input sizes grow. @@ -253,7 +253,8 @@ The plot below shows the runtime performance (in milliseconds) of three differen ### Key Observations #### CPU vs CPU with Scan -- For small input sizes (\(N ≤ 2^{16}\)), both CPU variants show very similar runtimes, indicating that the scan step contributes little overhead in this range. +- For small input sizes (\(N < 2^{17}\)), **CPU with Scan** actually performs slightly better than pure CPU compaction. This may be due to better branch predictability, more regular loop structures, or favorable memory access patterns in the scan version. +- As input size increases beyond \(2^{17}\), the runtimes of both CPU variants gradually converge, showing similar linear growth. - Both exhibit consistent linear growth on the log-log plot, confirming the expected **\(O(n)\)** time complexity for serial execution. #### Efficient GPU Scan @@ -291,7 +292,7 @@ The most optimal performance is observed between \(2^7\) and \(2^9\), where the The efficient GPU scan, although theoretically better in terms of work complexity \(O(n)\), is sometimes slower than both the CPU scan and the naive GPU scan. After analyzing my implementation and reviewing how GPUs work, here is my explanation: ### kernel launch overhead becomes significant -In my implementation, for each depth level of both upsweep and downsweep, I launch a separate kernel. Since the depth is \(\log_2(n)\), I am launching multiple kernels even for small input sizes. +In my implementation, for each depth level of both upsweep and downsweep, I launch a separate kernel. Since the depth is \(log_2(n)\), I am launching multiple kernels even for small input sizes. On GPUs, kernel launches have some non-negligible overhead, especially when the amount of computation per launch is small. When input size is small, the kernel launch overhead actually dominates the total runtime. In contrast, CPU scan uses a simple loop without any such overhead. @@ -315,9 +316,9 @@ On the CPU, memory access is sequential and benefits from caching, which makes i | Factor | CPU Scan | Naive GPU Scan | Efficient GPU Scan | |--------|----------|----------------|---------------------| -| Complexity | \(O(n)\) | \(O(n \log n)\) | \(O(n)\) | +| Complexity | \(O(n)\) | \(O(n log n)\) | \(O(n)\) | | Memory Pattern | Sequential | Coalesced | Strided (degrades at deeper levels) | -| Kernel Launches | 1 | \(\log n\) | \(2 \log n\) | +| Kernel Launches | 1 | \(log n\) | \(2 log n\) | | Warp Utilization | N/A | High | Drops significantly at deeper levels | | Global Memory Traffic | Low | Moderate | High | From 070af18f5a22d05378c464952a3677af881af813 Mon Sep 17 00:00:00 2001 From: Yi Liu Date: Thu, 29 May 2025 21:51:43 -0400 Subject: [PATCH 17/19] update readme --- README.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/README.md b/README.md index 041a73b..18eb0c1 100644 --- a/README.md +++ b/README.md @@ -253,7 +253,7 @@ The plot below shows the runtime performance (in milliseconds) of three differen ### Key Observations #### CPU vs CPU with Scan -- For small input sizes (\(N < 2^{17}\)), **CPU with Scan** actually performs slightly better than pure CPU compaction. This may be due to better branch predictability, more regular loop structures, or favorable memory access patterns in the scan version. +- For small input sizes (\(N < 2^{17}\)), **CPU with Scan** actually performs slightly better than pure CPU compaction. - As input size increases beyond \(2^{17}\), the runtimes of both CPU variants gradually converge, showing similar linear growth. - Both exhibit consistent linear growth on the log-log plot, confirming the expected **\(O(n)\)** time complexity for serial execution. From c2ecfa5be58ab314a91cdce48a30976a0ae42ec4 Mon Sep 17 00:00:00 2001 From: Yi Liu Date: Thu, 29 May 2025 22:56:20 -0400 Subject: [PATCH 18/19] update tests --- src/main.cpp | 22 +++- stream_compaction/efficient.cu | 173 ++++++++++++------------- visualization/compact_size_results.csv | 24 +--- visualization/scan_size_results.csv | 24 +--- 4 files changed, 97 insertions(+), 146 deletions(-) diff --git a/src/main.cpp b/src/main.cpp index ce32dff..3628d00 100644 --- a/src/main.cpp +++ b/src/main.cpp @@ -448,14 +448,22 @@ int main(int argc, char* argv[]) { fout_2.close(); - for (int i = 0; i < 23; i++) { - const int SIZE = 1 << (5 + i); - int* a = new int[SIZE]; - int* b = new int[SIZE]; - int* c = new int[SIZE]; + //for (int i = 0; i < 5; i++) { + // const int SIZE = 1 << (5 + i); + // int* a = new int[SIZE]; + // int* b = new int[SIZE]; + // int* c = new int[SIZE]; - runTests(a, b, c, SIZE); - } + // runTests(a, b, c, SIZE); + //} + + + const int SIZE = 1 << 20; + int* a = new int[SIZE]; + int* b = new int[SIZE]; + int* c = new int[SIZE]; + + runTests(a, b, c, SIZE); system("pause"); // stop Win32 console from closing on exit diff --git a/stream_compaction/efficient.cu b/stream_compaction/efficient.cu index f94c7e6..109fc12 100644 --- a/stream_compaction/efficient.cu +++ b/stream_compaction/efficient.cu @@ -3,12 +3,6 @@ #include "common.h" #include "efficient.h" -#include -#include -#include - -constexpr int blockSize = 512; // Optimized for SIZE = 1 << 26 - namespace StreamCompaction { namespace Efficient { using StreamCompaction::Common::PerformanceTimer; @@ -18,80 +12,73 @@ namespace StreamCompaction { return timer; } - __global__ void kernReduce(int N, int d, int* data) - { - int index = (blockIdx.x * blockDim.x) + threadIdx.x; - if (index >= N) { return; } - - int k = index * (1 << (d + 1)); - - data[k + (1 << (d + 1)) - 1] += data[k + (1 << d) - 1]; - } - - __global__ void kernTraverseBack(int N, int d, int* data) - { - int index = (blockIdx.x * blockDim.x) + threadIdx.x; - if (index >= N) { return; } - - int k = index * (1 << (d + 1)); - int t = data[k + (1 << d) - 1]; - data[k + (1 << d) - 1] = data[k + (1 << (d + 1)) - 1]; - data[k + (1 << (d + 1)) - 1] += t; + __global__ void upsweep(int* data, int twod, int twod1, int n) { + int index = threadIdx.x + blockIdx.x * blockDim.x; + int k = index * twod1; + if (k + twod1 - 1 < n) { + data[k + twod1 - 1] += data[k + twod - 1]; + } } - void scan_gpu(int n, int* dev_data) - { - thrust::device_ptr dev_thrust_data(dev_data); - - // Up-sweep - for (int d = 0; d < ilog2ceil(n) - 1; ++d) - { - dim3 threadsPerBlock(blockSize); - dim3 blocksPerGrid(((n >> (d + 1)) + blockSize - 1) / blockSize); - kernReduce << > > ((n >> (d + 1)), d, dev_data); - checkCUDAError("kernReduce launch failed!"); - } - // Down-sweep - dev_thrust_data[n - 1] = 0; - - for (int d = ilog2ceil(n) - 1; d >= 0; --d) - { - int numThreads = n >> (d + 1); - if (numThreads << (d + 1) != n) { numThreads = n >> d; } - dim3 threadsPerBlock(blockSize); - dim3 blocksPerGrid((numThreads + blockSize - 1) / blockSize); - kernTraverseBack << > > (numThreads, d, dev_data); - checkCUDAError("kernTraverseBack launch failed!"); + __global__ void downsweep(int* data, int twod, int twod1, int n) { + int index = threadIdx.x + blockIdx.x * blockDim.x; + int k = index * twod1; + if (k + twod1 - 1 < n) { + int t = data[k + twod - 1]; + data[k + twod - 1] = data[k + twod1 - 1]; + data[k + twod1 - 1] += t; } } /** * Performs prefix-sum (aka scan) on idata, storing the result into odata. */ - void scan(int n, int* odata, const int* idata) { - int nCeil = 1 << ilog2ceil(n); - // Up-sweep - int* dev_data; - cudaMalloc((void**)&dev_data, nCeil * sizeof(int)); - checkCUDAError("cudaMalloc dev_data failed!"); + // Internal version that controls timing + void scan_internal(int n, int* odata, const int* idata, bool timing) { + if (timing) timer().startGpuTimer(); + + int pow2Len = 1 << ilog2ceil(n); + int* dev_data; + cudaMalloc(&dev_data, pow2Len * sizeof(int)); + cudaMemset(dev_data, 0, pow2Len * sizeof(int)); cudaMemcpy(dev_data, idata, n * sizeof(int), cudaMemcpyHostToDevice); - checkCUDAError("cudaMemcpy idata->dev_data failed!"); - timer().startGpuTimer(); - scan_gpu(nCeil, dev_data); - timer().endGpuTimer(); + int blockSize = 512; + for (int d = 1; d <= ilog2ceil(pow2Len); ++d) { + int twod = 1 << (d - 1); + int twod1 = 1 << d; + int numThreads = pow2Len / twod1; + int numBlocks = (numThreads + blockSize - 1) / blockSize; + upsweep << > > (dev_data, twod, twod1, pow2Len); + cudaDeviceSynchronize(); + } - cudaMemcpy(odata, dev_data, n * sizeof(int), cudaMemcpyDeviceToHost); - checkCUDAError("cudaMemcpy dev_data->odata failed!"); + cudaMemset(dev_data + pow2Len - 1, 0, sizeof(int)); // zero for exclusive - // Clean up + for (int d = ilog2ceil(pow2Len); d >= 1; --d) { + int twod = 1 << (d - 1); + int twod1 = 1 << d; + int numThreads = pow2Len / twod1; + int numBlocks = (numThreads + blockSize - 1) / blockSize; + downsweep << > > (dev_data, twod, twod1, pow2Len); + cudaDeviceSynchronize(); + } + + cudaMemcpy(odata, dev_data, n * sizeof(int), cudaMemcpyDeviceToHost); cudaFree(dev_data); + + if (timing) timer().endGpuTimer(); + } + + void scan(int n, int* odata, const int* idata) { + scan_internal(n, odata, idata, true); } + /** * Performs stream compaction on idata, storing the result into odata. * All zeroes are discarded. @@ -102,51 +89,51 @@ namespace StreamCompaction { * @returns The number of elements remaining after compaction. */ int compact(int n, int* odata, const int* idata) { - int nCeil = 1 << ilog2ceil(n); - size_t sizeOfArrays = nCeil * sizeof(int); + int* dev_idata, * dev_bools, * dev_indices, * dev_odata; - int* dev_bools; - cudaMalloc((void**)&dev_bools, sizeOfArrays); - checkCUDAError("cudaMalloc dev_bools failed!"); + int pow2n = 1 << ilog2ceil(n); + cudaMalloc(&dev_idata, pow2n * sizeof(int)); + cudaMalloc(&dev_bools, pow2n * sizeof(int)); + cudaMalloc(&dev_indices, pow2n * sizeof(int)); + cudaMalloc(&dev_odata, pow2n * sizeof(int)); + cudaMemset(dev_odata, 0, pow2n * sizeof(int)); - int* dev_indices; - cudaMalloc((void**)&dev_indices, sizeOfArrays); - checkCUDAError("cudaMalloc dev_indices failed!"); + cudaMemcpy(dev_idata, idata, n * sizeof(int), cudaMemcpyHostToDevice); - thrust::device_ptr dev_thrust_indices(dev_indices); - thrust::device_ptr dev_thrust_bools(dev_bools); + timer().startGpuTimer(); - int* dev_idata; - cudaMalloc((void**)&dev_idata, sizeOfArrays); - checkCUDAError("cudaMalloc dev_idata failed!"); + int blockSize = 128; + int numBlocks = (n + blockSize - 1) / blockSize; - int* dev_odata; - cudaMalloc((void**)&dev_odata, sizeOfArrays); - checkCUDAError("cudaMalloc dev_odata failed!"); + StreamCompaction::Common::kernMapToBoolean<<>>( + n, dev_bools, dev_idata); + cudaDeviceSynchronize(); - cudaMemcpy(dev_idata, idata, n * sizeof(int), cudaMemcpyHostToDevice); - checkCUDAError("cudaMemcpy idata->dev_idata failed!"); + scan_internal(n, dev_indices, dev_bools, false); + cudaDeviceSynchronize(); - dim3 threadsPerBlock(blockSize); - dim3 blocksPerGrid((n + blockSize - 1) / blockSize); + StreamCompaction::Common::kernScatter<<>> ( + n, dev_odata, dev_idata, dev_bools, dev_indices); + cudaDeviceSynchronize(); - timer().startGpuTimer(); - Common::kernMapToBoolean << > > (nCeil, dev_bools, dev_idata); - checkCUDAError("kernMapToBoolean launch failed!"); + timer().endGpuTimer(); - cudaMemcpy(dev_indices, dev_bools, sizeOfArrays, cudaMemcpyDeviceToDevice); - checkCUDAError("cudaMemcpy dev_bools->dev_indices failed!"); - scan_gpu(nCeil, dev_indices); + int count; + cudaMemcpy(&count, dev_indices + n - 1, sizeof(int), cudaMemcpyDeviceToHost); - int numRemaining = dev_thrust_indices[n - 1] + dev_thrust_bools[n - 1]; + int lastBool; + cudaMemcpy(&lastBool, dev_bools + n - 1, sizeof(int), cudaMemcpyDeviceToHost); + count += lastBool; - Common::kernScatter << > > (nCeil, dev_odata, dev_idata, dev_bools, dev_indices); - checkCUDAError("kernScatter launch failed!"); - timer().endGpuTimer(); + cudaMemcpy(odata, dev_odata, count * sizeof(int), cudaMemcpyDeviceToHost); - cudaMemcpy(odata, dev_odata, numRemaining * sizeof(int), cudaMemcpyDeviceToHost); + cudaFree(dev_idata); + cudaFree(dev_bools); + cudaFree(dev_indices); + cudaFree(dev_odata); - return numRemaining; + return count; } + } } \ No newline at end of file diff --git a/visualization/compact_size_results.csv b/visualization/compact_size_results.csv index e715c8b..ba1804b 100644 --- a/visualization/compact_size_results.csv +++ b/visualization/compact_size_results.csv @@ -1,24 +1,2 @@ N,CPU_NoScan(ms),CPU_WithScan(ms),GPU_Efficient(ms),placeholder -32,0.0001,0.0001,0.145408,0 -64,0.0002,0.0001,0.130144,0 -128,0.0003,0.0002,0.169984,0 -256,0.0006,0.0004,0.160768,0 -512,0.001,0.0007,0.346144,0 -1024,0.0019,0.0014,0.144384,0 -2048,0.004,0.0027,0.167936,0 -4096,0.0068,0.0054,0.249856,0 -8192,0.0131,0.0109,0.219136,0 -16384,0.0283,0.0218,0.236544,0 -32768,0.0531,0.0429,0.235744,0 -65536,0.1104,0.1065,0.228384,0 -131072,0.205,0.203,0.28896,0 -262144,0.4296,0.4994,0.424192,0 -524288,0.8932,0.8338,0.365728,0 -1048576,1.9412,1.6671,0.45824,0 -2097152,3.7989,3.3785,0.522208,0 -4194304,7.3658,6.8169,0.544672,0 -8388608,15.5282,13.5069,0.803296,0 -16777216,29.3663,26.7081,2.29613,0 -33554432,59.9327,53.0297,4.73888,0 -67108864,118.652,107.464,8.74166,0 -134217728,239.519,217.626,33.9799,0 +1048576,1.8459,1.8084,1.89664,0 diff --git a/visualization/scan_size_results.csv b/visualization/scan_size_results.csv index b5c577d..62761ce 100644 --- a/visualization/scan_size_results.csv +++ b/visualization/scan_size_results.csv @@ -1,24 +1,2 @@ N,CPU(ms),Naive(ms),Efficient(ms),Thrust(ms) -32,0.0001,0.074752,0.512,0.117472 -64,0.0001,0.09216,0.34816,0.054272 -128,0.0002,0.029696,0.0768,0.019392 -256,0.0003,0.027648,0.067584,0.019456 -512,0.0007,0.034144,0.102784,0.018688 -1024,0.0014,0.057344,0.077824,0.026624 -2048,0.0028,0.106496,0.096256,0.019456 -4096,0.0055,0.090272,0.108544,0.020192 -8192,0.0108,0.068608,0.10752,0.019456 -16384,0.02,0.152576,0.13728,0.019648 -32768,0.043,0.127328,0.170752,0.019744 -65536,0.0848,0.101344,0.155104,0.042208 -131072,0.1722,0.175552,0.176288,0.021184 -262144,0.3839,0.18528,0.20816,0.029312 -524288,0.6855,0.202432,0.227232,0.03584 -1048576,1.3641,0.245024,0.318432,0.039904 -2097152,2.7522,0.383232,0.481856,0.039936 -4194304,4.9733,0.649376,0.445728,0.073088 -8388608,10.8945,0.771616,0.58432,0.055392 -16777216,22.0545,4.1615,1.37517,0.181248 -33554432,43.7803,7.62749,3.17843,0.33792 -67108864,88.0304,15.9948,6.39859,0.650368 -134217728,175.799,34.0388,13.3369,1.2496 +1048576,1.3921,0.996192,1.72554,0.310272 From d624d529c938e0e2d21e2a312da9ceb719375219 Mon Sep 17 00:00:00 2001 From: yiliu1237 <150484524+yiliu1237@users.noreply.github.com> Date: Mon, 16 Jun 2025 11:11:52 -0400 Subject: [PATCH 19/19] Update README.md --- README.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/README.md b/README.md index 18eb0c1..40eba04 100644 --- a/README.md +++ b/README.md @@ -287,7 +287,7 @@ The most optimal performance is observed between \(2^7\) and \(2^9\), where the --- -## Part 5: Why Is My Efficient GPU Scan Sometimes Slower Than CPU and Even Slower Than Naive? +## Why Is The Efficient GPU Scan Sometimes Slower Than CPU and Even Slower Than Naive? The efficient GPU scan, although theoretically better in terms of work complexity \(O(n)\), is sometimes slower than both the CPU scan and the naive GPU scan. After analyzing my implementation and reviewing how GPUs work, here is my explanation:

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