From c8d922dec165ec051eeb662726b1fe2111d0e51c Mon Sep 17 00:00:00 2001 From: jichumao Date: Tue, 17 Sep 2024 20:29:31 -0400 Subject: [PATCH 01/12] finished --- src/main.cpp | 3 +- stream_compaction/common.cu | 14 +++- stream_compaction/common.h | 4 +- stream_compaction/cpu.cu | 46 ++++++++++- stream_compaction/efficient.cu | 135 ++++++++++++++++++++++++++++++++- stream_compaction/naive.cu | 52 ++++++++++++- stream_compaction/thrust.cu | 17 ++++- 7 files changed, 259 insertions(+), 12 deletions(-) diff --git a/src/main.cpp b/src/main.cpp index 896ac2b..4b1ee9b 100644 --- a/src/main.cpp +++ b/src/main.cpp @@ -13,7 +13,8 @@ #include #include "testing_helpers.hpp" -const int SIZE = 1 << 8; // feel free to change the size of array +const int SIZE = 1 << 15; // feel free to change the size of array +//const int SIZE = 1 << 26; const int NPOT = SIZE - 3; // Non-Power-Of-Two int *a = new int[SIZE]; int *b = new int[SIZE]; diff --git a/stream_compaction/common.cu b/stream_compaction/common.cu index 2ed6d63..33f946d 100644 --- a/stream_compaction/common.cu +++ b/stream_compaction/common.cu @@ -24,6 +24,11 @@ namespace StreamCompaction { */ __global__ void kernMapToBoolean(int n, int *bools, const int *idata) { // TODO + int index = blockIdx.x * blockDim.x + threadIdx.x; + if (index >= n) { + return; + } + bools[index] = idata[index] != 0 ? 1 : 0; } /** @@ -33,7 +38,14 @@ namespace StreamCompaction { __global__ void kernScatter(int n, int *odata, const int *idata, const int *bools, const int *indices) { // TODO + int index = blockIdx.x * blockDim.x + threadIdx.x; + if (index >= n) { + return; + } + if (bools[index] == 1) { + odata[indices[index]] = idata[index]; + } } - + } } diff --git a/stream_compaction/common.h b/stream_compaction/common.h index d2c1fed..f5d1b86 100644 --- a/stream_compaction/common.h +++ b/stream_compaction/common.h @@ -9,10 +9,12 @@ #include #include #include - +#include "device_launch_parameters.h" #define FILENAME (strrchr(__FILE__, '/') ? strrchr(__FILE__, '/') + 1 : __FILE__) #define checkCUDAError(msg) checkCUDAErrorFn(msg, FILENAME, __LINE__) +#define blockSize 256 + /** * Check for CUDA errors; print and exit if there was a problem. */ diff --git a/stream_compaction/cpu.cu b/stream_compaction/cpu.cu index 719fa11..5dde593 100644 --- a/stream_compaction/cpu.cu +++ b/stream_compaction/cpu.cu @@ -20,6 +20,13 @@ namespace StreamCompaction { void scan(int n, int *odata, const int *idata) { timer().startCpuTimer(); // TODO + if (n <= 0) return; + + odata[0] = 0; + for (int i = 1; i < n; i++) { + odata[i] = odata[i - 1] + idata[i - 1]; + } + timer().endCpuTimer(); } @@ -31,8 +38,16 @@ namespace StreamCompaction { int compactWithoutScan(int n, int *odata, const int *idata) { timer().startCpuTimer(); // TODO + int cnt = 0; + for (int i = 0; i < n; i++) { + if (idata[i] != 0) { + odata[cnt] = idata[i]; + cnt++; + } + } timer().endCpuTimer(); - return -1; + + return cnt; } /** @@ -43,8 +58,35 @@ namespace StreamCompaction { int compactWithScan(int n, int *odata, const int *idata) { timer().startCpuTimer(); // TODO + // Step 1 Compute temprary array containing + int* temp = new int[n]; + + for (int i = 0; i < n; i++) { + temp[i] = idata[i] != 0; + } + + // Step 2 Run exclusive scan on the temp array + int* scanArray = new int[n]; + scanArray[0] = 0; + for (int i = 1; i < n; i++) + { + scanArray[i] = scanArray[i - 1] + temp[i - 1]; + } + + // Step 3 Scatter + for (int i = 0; i < n; i++) { + if (temp[i] == 1) { + // the final index in odata is the value of scanArray[i] + odata[scanArray[i]] = idata[i]; + } + } + timer().endCpuTimer(); - return -1; + + int resultCount = scanArray[n - 1] + temp[n - 1]; + delete[] temp; + delete[] scanArray; + return resultCount; } } } diff --git a/stream_compaction/efficient.cu b/stream_compaction/efficient.cu index 2db346e..0dd0dc0 100644 --- a/stream_compaction/efficient.cu +++ b/stream_compaction/efficient.cu @@ -12,13 +12,79 @@ namespace StreamCompaction { return timer; } + __global__ void kernUpSweep(int n, int d, int* data) { + int index = threadIdx.x + (blockIdx.x * blockDim.x); + if (index >= n) { + return; + } + + int d1 = 1 << d; + int d2 = 1 << (d + 1); + + if (index % d2 == 0) { + data[index + d2 - 1] += data[index + d1 - 1]; + } + + } + + __global__ void kernDownSweep(int n, int d, int* data) { + int index = threadIdx.x + (blockIdx.x * blockDim.x); + if (index >= n) { + return; + } + + int d1 = 1 << d; + int d2 = 1 << (d + 1); + + if (index % d2 == 0) { + int t = data[index + d1 - 1]; + data[index + d1 - 1] = data[index + d2 - 1]; + data[index + d2 - 1] += t; + } + + } + /** * Performs prefix-sum (aka scan) on idata, storing the result into odata. */ void scan(int n, int *odata, const int *idata) { + + int* dev_data; + int n_powerOf2 = 1 << ilog2ceil(n); + + cudaMalloc((void**)&dev_data, n_powerOf2 * sizeof(int)); + checkCUDAError("cudaMalloc dev_data failed!"); + + cudaMemcpy(dev_data, idata, n * sizeof(int), cudaMemcpyHostToDevice); + checkCUDAError("cudaMemcpy idata to dev_data failed!"); + cudaMemset(dev_data + n, 0, (n_powerOf2 - n) * sizeof(int)); + + dim3 blocksPerGrid = (n_powerOf2 + blockSize - 1) / blockSize; + timer().startGpuTimer(); - // TODO + + // Up-Sweep + for (int d = 0; d <= ilog2ceil(n_powerOf2) - 1; d++) { + kernUpSweep << > > (n_powerOf2, d, dev_data); + checkCUDAError("kernUpSweep failed!"); + } + + // Set root to 0 + cudaMemset(dev_data + n_powerOf2 - 1, 0, sizeof(int)); + + // Down-Sweep + for (int d = ilog2ceil(n_powerOf2) - 1; d >= 0; d--) { + kernDownSweep << > > (n_powerOf2, d, dev_data); + checkCUDAError("kernDownSweep failed!"); + } + timer().endGpuTimer(); + + // Copy result to odata + cudaMemcpy(odata, dev_data, n * sizeof(int), cudaMemcpyDeviceToHost); + checkCUDAError("cudaMemcpy dev_data to odata failed!"); + + cudaFree(dev_data); } /** @@ -31,10 +97,71 @@ namespace StreamCompaction { * @returns The number of elements remaining after compaction. */ int compact(int n, int *odata, const int *idata) { - timer().startGpuTimer(); - // TODO + int* dev_idata; + int* dev_odata; + int* dev_temp; + int* dev_scanArr; + + int n_powerOf2 = 1 << ilog2ceil(n); + + cudaMalloc((void**)&dev_idata, n_powerOf2 * sizeof(int)); + checkCUDAError("cudaMalloc dev_idata failed!"); + cudaMemcpy(dev_idata, idata, n * sizeof(int), cudaMemcpyHostToDevice); + checkCUDAError("cudaMemcpy idata to dev_idata failed!"); + cudaMemset(dev_idata + n, 0, (n_powerOf2 - n) * sizeof(int)); + + cudaMalloc((void**)&dev_odata, n_powerOf2 * sizeof(int)); + checkCUDAError("cudaMalloc dev_odata failed!"); + + cudaMalloc((void**)&dev_temp, n_powerOf2 * sizeof(int)); + checkCUDAError("cudaMalloc temp failed!"); + + cudaMalloc((void**)&dev_scanArr, n_powerOf2 * sizeof(int)); + checkCUDAError("cudaMalloc scanArr failed!"); + + dim3 blocksPerGrid = (n_powerOf2 + blockSize - 1) / blockSize; + + timer().startGpuTimer(); + // Step 1 Compute temporary array containing + StreamCompaction::Common::kernMapToBoolean << > > (n_powerOf2, dev_temp, dev_idata); + checkCUDAError("kernMapToBoolean failed!"); + + cudaMemcpy(dev_scanArr, dev_temp, n * sizeof(int), cudaMemcpyDeviceToDevice); + // Step 2 Run exclusive scan on the temp array + + // Up-Sweep + for (int d = 0; d <= ilog2ceil(n_powerOf2) - 1; d++) { + kernUpSweep << > > (n_powerOf2, d, dev_scanArr); + checkCUDAError("kernUpSweep failed!"); + } + + // Set root to 0 + cudaMemset(dev_scanArr + n_powerOf2 - 1, 0, sizeof(int)); + + // Down-Sweep + for (int d = ilog2ceil(n_powerOf2) - 1; d >= 0; d--) { + kernDownSweep << > > (n_powerOf2, d, dev_scanArr); + checkCUDAError("kernDownSweep failed!"); + } + + // Step 3 Scatter + Common::kernScatter << > > (n, dev_odata, dev_idata, dev_temp, dev_scanArr); timer().endGpuTimer(); - return -1; + + // Copy result to odata + cudaMemcpy(odata, dev_odata, n * sizeof(int), cudaMemcpyDeviceToHost); + checkCUDAError("cudaMemcpy dev_odata to odata failed!"); + + int cnt = 0; + cudaMemcpy(&cnt, dev_scanArr + n_powerOf2 - 1, sizeof(int), cudaMemcpyDeviceToHost); + checkCUDAError("cudaMemcpy dev_scanArr to cnt failed!"); + + cudaFree(dev_odata); + cudaFree(dev_idata); + cudaFree(dev_temp); + cudaFree(dev_scanArr); + + return cnt; } } } diff --git a/stream_compaction/naive.cu b/stream_compaction/naive.cu index 4308876..a068fab 100644 --- a/stream_compaction/naive.cu +++ b/stream_compaction/naive.cu @@ -13,13 +13,63 @@ namespace StreamCompaction { } // TODO: __global__ + __global__ void kernNaiveScan(int n, int offset, int* odata, int* idata) { + + int index = threadIdx.x + (blockIdx.x * blockDim.x); + + if (index >= n) { + return; + } + + if (index >= offset) { + odata[index] = idata[index - offset] + idata[index]; + } + else { + odata[index] = idata[index]; + } + + } /** * 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 ilog2ceil(n) + dim3 blocksPerGrid = (n + blockSize - 1) / blockSize; + + // ping-pong buffers + int* dev_data1; + int* dev_data2; + + cudaMalloc((void**)&dev_data1, n * sizeof(int)); + checkCUDAError("cudaMalloc dev_data1 failed!"); + + cudaMalloc((void**)&dev_data2, n * sizeof(int)); + checkCUDAError("cudaMalloc dev_data2 failed!"); + + cudaMemcpy(dev_data1, idata, n * sizeof(int), cudaMemcpyHostToDevice); + checkCUDAError("cudaMemcpy idata to dev_data1 failed!"); + + // Start Timer + timer().startGpuTimer(); + + for (int d = 1; d <= ilog2ceil(n); d++) { + int offset = 1 << (d - 1); + kernNaiveScan << > > (n, offset, dev_data2, dev_data1); + checkCUDAError("kernNaiveScan failed!"); + std::swap(dev_data1, dev_data2); + } + // End Timer timer().endGpuTimer(); + + // From inclusive to exclusive, shift right by 1, fill the first element with 0 + odata[0] = 0; + // Real data stored in dev_data1 + cudaMemcpy(odata + 1, dev_data1, sizeof(int) * (n - 1), cudaMemcpyDeviceToHost); + checkCUDAError("cudaMemcpy dev_data1 to odata failed!"); + + cudaFree(dev_data1); + cudaFree(dev_data2); } } } diff --git a/stream_compaction/thrust.cu b/stream_compaction/thrust.cu index 1def45e..1c3a006 100644 --- a/stream_compaction/thrust.cu +++ b/stream_compaction/thrust.cu @@ -18,11 +18,24 @@ 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()); - timer().endGpuTimer(); + + thrust::host_vector host_in(idata, idata + n); + thrust::host_vector host_out(odata, odata + n); + + // Cast to device vectors + thrust::device_vector dev_in = host_in; + thrust::device_vector dev_out = host_out; + + // Start Timer + timer().startGpuTimer(); + thrust::exclusive_scan(dev_in.begin(), dev_in.end(), dev_out.begin()); + // End Timer + timer().endGpuTimer(); + + cudaMemcpy(odata, dev_out.data().get(), sizeof(int) * n, cudaMemcpyDeviceToHost); } } } From 39d971db7121e08f3df3c202c2edf4d9c1a4b44e Mon Sep 17 00:00:00 2001 From: jichumao Date: Tue, 17 Sep 2024 21:29:36 -0400 Subject: [PATCH 02/12] threads reduction --- src/main.cpp | 2 +- stream_compaction/common.h | 3 +++ stream_compaction/efficient.cu | 35 ++++++++++++++++++++++++++++++---- 3 files changed, 35 insertions(+), 5 deletions(-) diff --git a/src/main.cpp b/src/main.cpp index 4b1ee9b..d52604a 100644 --- a/src/main.cpp +++ b/src/main.cpp @@ -13,7 +13,7 @@ #include #include "testing_helpers.hpp" -const int SIZE = 1 << 15; // feel free to change the size of array +const int SIZE = 1 << 26; // feel free to change the size of array //const int SIZE = 1 << 26; const int NPOT = SIZE - 3; // Non-Power-Of-Two int *a = new int[SIZE]; diff --git a/stream_compaction/common.h b/stream_compaction/common.h index f5d1b86..4a32090 100644 --- a/stream_compaction/common.h +++ b/stream_compaction/common.h @@ -15,6 +15,9 @@ #define blockSize 256 +// Either 0 or 1 +#define ThreadReduction 0 + /** * Check for CUDA errors; print and exit if there was a problem. */ diff --git a/stream_compaction/efficient.cu b/stream_compaction/efficient.cu index 0dd0dc0..04da5e2 100644 --- a/stream_compaction/efficient.cu +++ b/stream_compaction/efficient.cu @@ -17,14 +17,16 @@ namespace StreamCompaction { if (index >= n) { return; } - +#if ThreadReduction == 0 int d1 = 1 << d; int d2 = 1 << (d + 1); if (index % d2 == 0) { data[index + d2 - 1] += data[index + d1 - 1]; } - +#else + data[(index + 1) * (1 << (d + 1)) - 1] += data[index * (1 << (d + 1)) + (1 << d) - 1 ]; +#endif } __global__ void kernDownSweep(int n, int d, int* data) { @@ -32,7 +34,7 @@ namespace StreamCompaction { if (index >= n) { return; } - +#if ThreadReduction == 0 int d1 = 1 << d; int d2 = 1 << (d + 1); @@ -41,7 +43,12 @@ namespace StreamCompaction { data[index + d1 - 1] = data[index + d2 - 1]; data[index + d2 - 1] += t; } - +#else + int stride1 = (index + 1) * (1 << (d + 1)) - 1; + int stride2 = index * (1 << (d + 1)) + (1 << d) - 1; + data[stride2] = data[stride1]; + data[stride1] += data[stride2]; +#endif } /** @@ -65,7 +72,12 @@ namespace StreamCompaction { // Up-Sweep for (int d = 0; d <= ilog2ceil(n_powerOf2) - 1; d++) { +#if ThreadReduction == 1 + int numberOfThreads = n_powerOf2 / (1 << (d + 1)); + kernUpSweep << > > (numberOfThreads, d, dev_data); +#else kernUpSweep << > > (n_powerOf2, d, dev_data); +#endif checkCUDAError("kernUpSweep failed!"); } @@ -74,7 +86,12 @@ namespace StreamCompaction { // Down-Sweep for (int d = ilog2ceil(n_powerOf2) - 1; d >= 0; d--) { +#if ThreadReduction == 1 + int numberOfThreads = n_powerOf2 / (1 << (d + 1)); + kernDownSweep << > > (numberOfThreads, d, dev_data); +#else kernDownSweep << > > (n_powerOf2, d, dev_data); +#endif checkCUDAError("kernDownSweep failed!"); } @@ -131,7 +148,12 @@ namespace StreamCompaction { // Up-Sweep for (int d = 0; d <= ilog2ceil(n_powerOf2) - 1; d++) { +#if ThreadReduction == 1 + int numberOfThreads = n_powerOf2 / (1 << (d + 1)); + kernUpSweep << > > (numberOfThreads, d, dev_scanArr); +#else kernUpSweep << > > (n_powerOf2, d, dev_scanArr); +#endif checkCUDAError("kernUpSweep failed!"); } @@ -140,7 +162,12 @@ namespace StreamCompaction { // Down-Sweep for (int d = ilog2ceil(n_powerOf2) - 1; d >= 0; d--) { +#if ThreadReduction == 1 + int numberOfThreads = n_powerOf2 / (1 << (d + 1)); + kernDownSweep << > > (numberOfThreads, d, dev_scanArr); +#else kernDownSweep << > > (n_powerOf2, d, dev_scanArr); +#endif checkCUDAError("kernDownSweep failed!"); } From c0f281c82dd9610f86b5d23da9898081e7c7c9c5 Mon Sep 17 00:00:00 2001 From: jichumao Date: Tue, 17 Sep 2024 22:20:40 -0400 Subject: [PATCH 03/12] fix --- src/main.cpp | 2 +- stream_compaction/common.h | 2 +- stream_compaction/efficient.cu | 7 ++++--- 3 files changed, 6 insertions(+), 5 deletions(-) diff --git a/src/main.cpp b/src/main.cpp index d52604a..e44f52b 100644 --- a/src/main.cpp +++ b/src/main.cpp @@ -13,7 +13,7 @@ #include #include "testing_helpers.hpp" -const int SIZE = 1 << 26; // feel free to change the size of array +const int SIZE = 1 << 27; // feel free to change the size of array //const int SIZE = 1 << 26; const int NPOT = SIZE - 3; // Non-Power-Of-Two int *a = new int[SIZE]; diff --git a/stream_compaction/common.h b/stream_compaction/common.h index 4a32090..7cb058a 100644 --- a/stream_compaction/common.h +++ b/stream_compaction/common.h @@ -16,7 +16,7 @@ #define blockSize 256 // Either 0 or 1 -#define ThreadReduction 0 +#define ThreadReduction 1 /** * Check for CUDA errors; print and exit if there was a problem. diff --git a/stream_compaction/efficient.cu b/stream_compaction/efficient.cu index 04da5e2..33222bd 100644 --- a/stream_compaction/efficient.cu +++ b/stream_compaction/efficient.cu @@ -24,7 +24,7 @@ namespace StreamCompaction { if (index % d2 == 0) { data[index + d2 - 1] += data[index + d1 - 1]; } -#else +#else data[(index + 1) * (1 << (d + 1)) - 1] += data[index * (1 << (d + 1)) + (1 << d) - 1 ]; #endif } @@ -43,11 +43,12 @@ namespace StreamCompaction { data[index + d1 - 1] = data[index + d2 - 1]; data[index + d2 - 1] += t; } -#else +#else int stride1 = (index + 1) * (1 << (d + 1)) - 1; int stride2 = index * (1 << (d + 1)) + (1 << d) - 1; + int temp = data[stride2]; data[stride2] = data[stride1]; - data[stride1] += data[stride2]; + data[stride1] += temp; #endif } From cde7c93c14b72037e88ddafc324e25e578f3d7b3 Mon Sep 17 00:00:00 2001 From: jichumao Date: Tue, 17 Sep 2024 22:53:12 -0400 Subject: [PATCH 04/12] 1 --- img/naive.jpeg | Bin 0 -> 157438 bytes img/workeff1.jpeg | Bin 0 -> 88702 bytes img/workeff2.jpeg | Bin 0 -> 82840 bytes 3 files changed, 0 insertions(+), 0 deletions(-) create mode 100644 img/naive.jpeg create mode 100644 img/workeff1.jpeg create mode 100644 img/workeff2.jpeg diff --git a/img/naive.jpeg b/img/naive.jpeg new file mode 100644 index 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zCSJUm1H$Oie0;kwe-QjhvUw1OefuK|{k``BQ~x}7UWR-)_zl;bb`NWnP(#jd^Z%b# zuK)l4g!|?@X&lhp!fPI~Tb-DcNCM`}_V|S8R9Kbc#gu`TJ>f===*h@v{YAq(D5^+r zq|l6*2`+Q7@4RzWr<31tDQjf6Uf{uXks?hDq@<(F+>-aX`#mJNaL2QKet1s4ZnVlm VK%dCX@g)l!&eRY1vE<(?{|7u|wVeO} literal 0 HcmV?d00001 From aa3170ce20ddf81f10fa692a7512a654fb160410 Mon Sep 17 00:00:00 2001 From: Jichu Mao <74147893+jichumao@users.noreply.github.com> Date: Tue, 17 Sep 2024 23:54:45 -0400 Subject: [PATCH 05/12] Update README.md --- README.md | 135 +++++++++++++++++++++++++++++++++++++++++++++++++++--- 1 file changed, 129 insertions(+), 6 deletions(-) diff --git a/README.md b/README.md index 0e38ddb..60c26a0 100644 --- a/README.md +++ b/README.md @@ -3,12 +3,135 @@ CUDA Stream Compaction **University of Pennsylvania, CIS 565: GPU Programming and Architecture, Project 2** -* (TODO) YOUR NAME HERE - * (TODO) [LinkedIn](), [personal website](), [twitter](), etc. -* Tested on: (TODO) Windows 22, i7-2222 @ 2.22GHz 22GB, GTX 222 222MB (Moore 2222 Lab) +* Jichu Mao + * [LinkedIn](https://www.linkedin.com/in/jichu-mao-a3a980226/) + * [Personal Website](https://jichu.art/) +* Tested on: Windows 11, i7-13700K @ 3.40 GHz, 32GB, RTX 4090 24GB -### (TODO: Your README) +## Overview +In this project, I implemented GPU-based stream compaction and scan algorithms using CUDA. +Stream compaction is a critical operation in GPU programming, particularly for applications like path tracing where it's necessary to efficiently remove inactive elements (e.g., terminated rays) from large datasets. -Include analysis, etc. (Remember, this is public, so don't put -anything here that you don't want to share with the world.) +The primary goal was to implement several versions of the scan (prefix sum) algorithm and use them to perform stream compaction: + * **CPU Scan and Stream Compaction**: Baseline implementations for correctness verification. + * **Naive GPU Scan**: A straightforward GPU implementation using global memory. + * **Work-Efficient GPU Scan and Stream Compaction**: An optimized GPU implementation that reduces redundant computations. + * **Thrust Scan**: Utilizing NVIDIA's Thrust library for comparison. + * **Optimizations**(Extra): Investigated and optimized performance bottlenecks in the GPU implementations. + + +## Descripitions + +### CPU Scan and Stream Compaction + * Exclusive Scan: Implemented a CPU version of the exclusive prefix sum using a simple for-loop. + * Stream Compaction without Scan: Removed zero elements from an array without using scan. + * Stream Compaction with Scan: Used the scan result to efficiently compact an array by mapping, scanning, and scattering. + + + +### Naive GPU Scan Algorithm + * Implemented the naive scan algorithm on the GPU based on a straightforward parallel prefix sum approach. + * Used global memory and multiple kernel launches for each step of the algorithm. + * Handled non-power-of-two array sizes by padding the input array. + +First do exclusive scan, then do shift right to get inclusive scan array. + +![](img/naive.jpeg) + +### Work-Efficient GPU Scan and Stream Compaction + +Implemented the work-efficient scan algorithm using a balanced binary tree approach (up-sweep and down-sweep phases). + + +#### Step 1. Up-Sweep Phase +This builds a sum in a tree structure. +Starting from the leaves, each level of the tree computes partial sums of its two children and stores the result at the parent node. +This process continues until the root contains the total sum of the array. + +![](img/workeff1.jpeg) + +#### Step 2. Down-Sweep Phase +This phase propagates partial sums back down the tree. +The total sum at the root is replaced with zero, and each parent passes its original value to its left child, +while the new value for the right child is the sum of the parent's original value and the left child’s value. This produces the final exclusive prefix sum. + +![](img/workeff2.jpeg) + +#### Step 3. Convert the exclusive scan to an inclusive scan +After conversion, we can output the results. + +### Thrust Scan Implementation +Simply used the thrust::exclusive_scan(first, last, result) function from the Thrust library for performance comparison. + +### Stream Compaction +Implemented GPU-based stream compaction using the work-efficient scan, including mapping to booleans and scattering. + +## Performance Analysis +### Block Size Opimization for each Implementation + +### CPU & GPU Scan Implementations Comparasion + +### Bottlenecks + +### Output Results +The following tests were ran on: +* Array size of **227** +* A non-power-of-two array size of **227 - 3** +* A block size of **256** +* With thread reduction mode **on**. + +``` +**************** +** SCAN TESTS ** +**************** + [ 43 21 19 5 12 0 25 24 36 44 25 38 44 ... 32 0 ] +==== cpu scan, power-of-two ==== + elapsed time: 190.116ms (std::chrono Measured) + [ 0 43 64 83 88 100 100 125 149 185 229 254 292 ... -1007916206 -1007916174 ] +==== cpu scan, non-power-of-two ==== + elapsed time: 190.262ms (std::chrono Measured) + [ 0 43 64 83 88 100 100 125 149 185 229 254 292 ... -1007916281 -1007916249 ] + passed +==== naive scan, power-of-two ==== + elapsed time: 35.0255ms (CUDA Measured) + passed +==== naive scan, non-power-of-two ==== + elapsed time: 34.8509ms (CUDA Measured) + passed +==== work-efficient scan, power-of-two ==== + elapsed time: 26.2033ms (CUDA Measured) + passed +==== work-efficient scan, non-power-of-two ==== + elapsed time: 25.4444ms (CUDA Measured) + passed +==== thrust scan, power-of-two ==== + elapsed time: 2.90944ms (CUDA Measured) + passed +==== thrust scan, non-power-of-two ==== + elapsed time: 2.24038ms (CUDA Measured) + passed + +***************************** +** STREAM COMPACTION TESTS ** +***************************** + [ 1 0 3 2 2 1 3 0 1 0 2 0 3 ... 3 0 ] +==== cpu compact without scan, power-of-two ==== + elapsed time: 251.32ms (std::chrono Measured) + [ 1 3 2 2 1 3 1 2 3 3 2 3 2 ... 2 3 ] + passed +==== cpu compact without scan, non-power-of-two ==== + elapsed time: 246.755ms (std::chrono Measured) + [ 1 3 2 2 1 3 1 2 3 3 2 3 2 ... 1 1 ] + passed +==== cpu compact with scan ==== + elapsed time: 565.44ms (std::chrono Measured) + [ 1 3 2 2 1 3 1 2 3 3 2 3 2 ... 2 3 ] + passed +==== work-efficient compact, power-of-two ==== + elapsed time: 31.3884ms (CUDA Measured) + passed +==== work-efficient compact, non-power-of-two ==== + elapsed time: 30.1025ms (CUDA Measured) + passed +``` From 66698fd1705db369bef436f977bacf227acbb684 Mon Sep 17 00:00:00 2001 From: jichumao Date: Wed, 18 Sep 2024 22:09:49 -0400 Subject: [PATCH 06/12] 1 --- img/compare1.png | Bin 0 -> 52211 bytes img/compare2.png | Bin 0 -> 48290 bytes src/main.cpp | 2 +- stream_compaction/common.h | 2 +- 4 files changed, 2 insertions(+), 2 deletions(-) create mode 100644 img/compare1.png create mode 100644 img/compare2.png diff --git a/img/compare1.png b/img/compare1.png new file mode 100644 index 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int[SIZE]; diff --git a/stream_compaction/common.h b/stream_compaction/common.h index 7cb058a..8adcc33 100644 --- a/stream_compaction/common.h +++ b/stream_compaction/common.h @@ -13,7 +13,7 @@ #define FILENAME (strrchr(__FILE__, '/') ? strrchr(__FILE__, '/') + 1 : __FILE__) #define checkCUDAError(msg) checkCUDAErrorFn(msg, FILENAME, __LINE__) -#define blockSize 256 +#define blockSize 512 // Either 0 or 1 #define ThreadReduction 1 From afb142406c8f7a6258e2a014ce61cc935d0ab504 Mon Sep 17 00:00:00 2001 From: Jichu Mao <74147893+jichumao@users.noreply.github.com> Date: Wed, 18 Sep 2024 22:47:47 -0400 Subject: [PATCH 07/12] Update README.md --- README.md | 21 +++++++++++++++++++-- 1 file changed, 19 insertions(+), 2 deletions(-) diff --git a/README.md b/README.md index 60c26a0..73152ce 100644 --- a/README.md +++ b/README.md @@ -28,8 +28,6 @@ The primary goal was to implement several versions of the scan (prefix sum) algo * Stream Compaction without Scan: Removed zero elements from an array without using scan. * Stream Compaction with Scan: Used the scan result to efficiently compact an array by mapping, scanning, and scattering. - - ### Naive GPU Scan Algorithm * Implemented the naive scan algorithm on the GPU based on a straightforward parallel prefix sum approach. * Used global memory and multiple kernel launches for each step of the algorithm. @@ -69,9 +67,28 @@ Implemented GPU-based stream compaction using the work-efficient scan, including ## Performance Analysis ### Block Size Opimization for each Implementation +![](img/compare2.png) + +From the graph, we observe that the Naïve algorithm shows significant performance improvements as the block size increases from 32 to 128, reaching its optimal performance at a block size of 64. However, further increases in block size do not result in any additional performance gains for this algorithm. + +On the other hand, the Work Efficient algorithm continues to improve as the block size increases, achieving its best performance at 512 threads per block. The Thrust algorithm consistently outperforms both custom implementations across all block sizes, with relatively stable performance. Notably, a block size of 1024 does not yield ideal results for any of the algorithms, likely due to the excessive block size reducing GPU parallelism and leaving computational resources underutilized. ### CPU & GPU Scan Implementations Comparasion +![](img/compare1.png) + +The test is set on with power of 2 array size, block size of 256, threads reduction opitmization on. + +The Naïve algorithm exhibits steady performance improvements for smaller array sizes, but as the array size increases beyond +**225** + , its performance starts to degrade more rapidly. This degradation is likely due to the algorithm's inefficient use of GPU resources, particularly in handling global memory. In the Naïve approach, each iteration operates independently, which results in poor memory access patterns and a lack of synchronization optimization. As array sizes increase, the amount of memory access grows, and this inefficiency becomes more pronounced, leading to slower runtimes. + +The Work Efficient algorithm, on the other hand, significantly improves upon the Naïve implementation by optimizing memory access and parallelism. It better utilizes memory access within each block, which reduces the overhead caused by global memory access. This allows for more efficient data exchange between threads, especially in larger array sizes. However, while this algorithm performs better than Naïve for most cases, it still experiences a noticeable performance increase beyond +**225** + . This is likely due to the constant thread allocation across iterations, which causes unnecessary thread activity during certain phases of the scan (e.g., up-sweep and down-sweep phases). Idle threads could create overhead, contributing to the performance slowdown. + +In comparison, Thrust performs consistently across all array sizes, likely due to its sophisticated memory management and internal optimizations such as dynamically adapting thread usage or leveraging efficient data transfers. However, without diving deeper into the implementation or utilizing tools like Nsight to investigate specific execution timelines, the exact reasons behind its superior performance remain speculative. + ### Bottlenecks ### Output Results From b68694b05bf415f4f1722e6bd286e9671b4c91f4 Mon Sep 17 00:00:00 2001 From: jichumao Date: Wed, 18 Sep 2024 23:04:15 -0400 Subject: [PATCH 08/12] Create compute.jpg --- img/compute.jpg | Bin 0 -> 184446 bytes 1 file changed, 0 insertions(+), 0 deletions(-) create mode 100644 img/compute.jpg diff --git a/img/compute.jpg b/img/compute.jpg new file mode 100644 index 0000000000000000000000000000000000000000..4aab9ea7193d967a9bdaab7c615903b9c77cd197 GIT binary patch literal 184446 zcmd43cT`hb*YJxKITln@M39Iy3q?QyDT#`Tp+!Nd0wPViNG}Pf2qGo)A|=vAdhbD{ z*C1j-lSm7M5CbFu(r-9VJI{IFG44P2j_=!JFhbTYtL(Yfn&meWdEY?$@E>RX;Njsp z48C{UkcVeKl!s?;`+@!35|p`SKlfvom!bA8p7LQ4Jon39$D8^$d3dVe2bnhexZnAn z-!t>#;W;I_^S29ZD6z)F!zlpYzWLDKYLyi*;->BM>)?i!pZ23Wex1UXE;XwKz7@25 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HcmV?d00001 From 8ca74f8c72c437edc2bcee594896546237fd58f2 Mon Sep 17 00:00:00 2001 From: Jichu Mao <74147893+jichumao@users.noreply.github.com> Date: Wed, 18 Sep 2024 23:13:26 -0400 Subject: [PATCH 09/12] Update README.md --- README.md | 10 ++++++++-- 1 file changed, 8 insertions(+), 2 deletions(-) diff --git a/README.md b/README.md index 73152ce..00cc2d3 100644 --- a/README.md +++ b/README.md @@ -73,7 +73,7 @@ From the graph, we observe that the Naïve algorithm shows significant performan On the other hand, the Work Efficient algorithm continues to improve as the block size increases, achieving its best performance at 512 threads per block. The Thrust algorithm consistently outperforms both custom implementations across all block sizes, with relatively stable performance. Notably, a block size of 1024 does not yield ideal results for any of the algorithms, likely due to the excessive block size reducing GPU parallelism and leaving computational resources underutilized. -### CPU & GPU Scan Implementations Comparasion +### Scan Implementations Comparasion Bottlenecks ![](img/compare1.png) @@ -89,7 +89,13 @@ The Work Efficient algorithm, on the other hand, significantly improves upon the In comparison, Thrust performs consistently across all array sizes, likely due to its sophisticated memory management and internal optimizations such as dynamically adapting thread usage or leveraging efficient data transfers. However, without diving deeper into the implementation or utilizing tools like Nsight to investigate specific execution timelines, the exact reasons behind its superior performance remain speculative. -### Bottlenecks +### Analysis with Nsight Compute + + + +The above Nsight Compute result highlights the performance profiling of the work-efficient scan algorithm, focusing on the upsweep and downsweep phases. The upsweep phase consumes the majority of the execution time, averaging 28.38 ms per kernel execution. One of the main bottlenecks identified is SM workload imbalance, where some Streaming Multiprocessors (SMs) are underutilized by as much as 43.66%, leading to inefficient use of GPU resources. Additionally, the high memory throughput indicates non-optimal memory access patterns, which further hinders performance during this phase. + +In contrast, the downsweep phase is shorter, averaging 20.26 ms, but shows lower compute and memory throughput. While workload imbalance is still present, it is less severe than in the upsweep phase. The lack of full GPU resource utilization, especially in terms of active threads, contributes to lower performance in this stage. This analysis suggests potential optimizations like balancing the SM workload and improving memory access efficiency to enhance overall algorithm performance. ### Output Results The following tests were ran on: From 5c7c72262298befa03ae83b853a82795de80d240 Mon Sep 17 00:00:00 2001 From: jichumao Date: Wed, 18 Sep 2024 23:21:08 -0400 Subject: [PATCH 10/12] Create compaction.png --- img/compaction.png | Bin 0 -> 6723 bytes 1 file changed, 0 insertions(+), 0 deletions(-) create mode 100644 img/compaction.png diff --git a/img/compaction.png b/img/compaction.png new file mode 100644 index 0000000000000000000000000000000000000000..0dfa4d2ddc12664e2993002f8e99ed941ae1536f GIT binary patch literal 6723 zcmd5>XIPWVwho92B3+~?MF`CT3W@?!gg_D$(6}uT0UKS2H0eZC6loy=j3N+}C>v=? zl@=5gqzed90>n*^F+?D=gpl(kdd}JVocrV4=ehTJ&W|MDe6wceU1iqHdUNl%BUECO z@+J@nBmsv(5Fn5+9C+>#-2i-l-l=T_{0Idhpw^(0uI)6SA>w(&;Rp!y5+lBPaXru$ zy9PrBfk3js{EyIxhguj2r1TjMIr3YWD`WV?)h$ceuLCSukEIHJ)7qnly`d`KF!1C= 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Mao <74147893+jichumao@users.noreply.github.com> Date: Wed, 18 Sep 2024 23:27:50 -0400 Subject: [PATCH 11/12] Update README.md --- README.md | 4 +++- 1 file changed, 3 insertions(+), 1 deletion(-) diff --git a/README.md b/README.md index 00cc2d3..d1cbd35 100644 --- a/README.md +++ b/README.md @@ -18,7 +18,7 @@ The primary goal was to implement several versions of the scan (prefix sum) algo * **Naive GPU Scan**: A straightforward GPU implementation using global memory. * **Work-Efficient GPU Scan and Stream Compaction**: An optimized GPU implementation that reduces redundant computations. * **Thrust Scan**: Utilizing NVIDIA's Thrust library for comparison. - * **Optimizations**(Extra): Investigated and optimized performance bottlenecks in the GPU implementations. + * **Optimizations**: Investigated and optimized fast GPU implementations. ## Descripitions @@ -65,6 +65,8 @@ Simply used the thrust::exclusive_scan(first, last, result) function from the Th ### Stream Compaction Implemented GPU-based stream compaction using the work-efficient scan, including mapping to booleans and scattering. +![](img/compaction.png) + ## Performance Analysis ### Block Size Opimization for each Implementation ![](img/compare2.png) From 51dcaa8bb1e62b0b416e8fa1b9348cc836e75a61 Mon Sep 17 00:00:00 2001 From: Jichu Mao <74147893+jichumao@users.noreply.github.com> Date: Thu, 2 Jan 2025 10:51:37 -0500 Subject: [PATCH 12/12] Update README.md --- README.md | 5 ++--- 1 file changed, 2 insertions(+), 3 deletions(-) diff --git a/README.md b/README.md index d1cbd35..55f6dfa 100644 --- a/README.md +++ b/README.md @@ -1,15 +1,14 @@ CUDA Stream Compaction ====================== -**University of Pennsylvania, CIS 565: GPU Programming and Architecture, Project 2** - * Jichu Mao * [LinkedIn](https://www.linkedin.com/in/jichu-mao-a3a980226/) * [Personal Website](https://jichu.art/) * Tested on: Windows 11, i7-13700K @ 3.40 GHz, 32GB, RTX 4090 24GB ## Overview -In this project, I implemented GPU-based stream compaction and scan algorithms using CUDA. +In this project, I implemented GPU-based stream compaction and scan algorithms using CUDA. This project is based on CIS 5650 @ UPenn. + Stream compaction is a critical operation in GPU programming, particularly for applications like path tracing where it's necessary to efficiently remove inactive elements (e.g., terminated rays) from large datasets. The primary goal was to implement several versions of the scan (prefix sum) algorithm and use them to perform stream compaction: