From ce74e8edbc5690ffe97c9e1e4eff4aa2e33cc4fd Mon Sep 17 00:00:00 2001 From: Zhangkaiwen Chu Date: Tue, 20 Sep 2022 23:15:28 -0400 Subject: [PATCH] Finished the project. --- .ipynb_checkpoints/Untitled-checkpoint.ipynb | 6 + README.md | 40 +++++- Untitled.ipynb | 134 +++++++++++++++++++ img/1.png | Bin 0 -> 446309 bytes img/2.png | Bin 0 -> 861560 bytes img/3.png | Bin 0 -> 879669 bytes img/4.png | Bin 0 -> 68853 bytes src/main.cpp | 4 +- stream_compaction/common.cu | 12 ++ stream_compaction/cpu.cu | 29 +++- stream_compaction/efficient.cu | 102 +++++++++++++- stream_compaction/naive.cu | 40 +++++- stream_compaction/thrust.cu | 5 + 13 files changed, 358 insertions(+), 14 deletions(-) create mode 100644 .ipynb_checkpoints/Untitled-checkpoint.ipynb create mode 100644 Untitled.ipynb create mode 100644 img/1.png create mode 100644 img/2.png create mode 100644 img/3.png create mode 100644 img/4.png diff --git a/.ipynb_checkpoints/Untitled-checkpoint.ipynb b/.ipynb_checkpoints/Untitled-checkpoint.ipynb new file mode 100644 index 0000000..363fcab --- /dev/null +++ b/.ipynb_checkpoints/Untitled-checkpoint.ipynb @@ -0,0 +1,6 @@ +{ + "cells": [], + "metadata": {}, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/README.md b/README.md index 0e38ddb..003c99f 100644 --- a/README.md +++ b/README.md @@ -3,12 +3,40 @@ 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) +* Zhangkaiwen Chu + * [LinkedIn](https://www.linkedin.com/in/zhangkaiwen-chu-b53060225/) +* Tested on: Windows 10, R7-5800H @ 3.20GHz 16GB, RTX 3070 Laptop GPU 16310MB (Personal Laptop) -### (TODO: Your README) +This project implement GPU stream compaction in CUDA from scratch, including naive scan and work-efficient scan described in GPU Gem3 Ch39. -Include analysis, etc. (Remember, this is public, so don't put -anything here that you don't want to share with the world.) +## Features: +* CPU Scan & Stream Compaction +* Naive GPU Scan Algorithm +* Work-Efficient GPU Scan & Stream Compaction +* Thrust's Scan +## Optimize Block Size: +Tested with array size = 2^28 +![](img/1.png) +* Optimal block size for naive scan: 128 +* Optimal block size for naive scan: 128 + +## Scan Performance Comparation +![](img/2.png) + +## Compact Performance Comparation +![](img/3.png) + +## Analysis +The bottlenecks for different implementation is different, and it varys with different array size. + +* For cpu implementation, the run time is always linear with the array size. The bottleneck should be the memory I/O. +* For naive scan, it first scales with the log of array size, then becomes linear. Note that the total commputation is linear, while, the number of function calls are log, so I think when the array size is small, the branch divergence and function calls are the predominant factor, while when the array size is large, the memory I/O is the main factor. +* For work-efficient scan, the pattern is alike. However, it is much slower when the array size is small. I found that cudaDeviceSynchronize() consumes most of the time. Note that the number of calls to synchronization also scales with log of array size. When the array size is large, memory I/O becomes the main factor. +* The thrust implementation is very efficient. It seems to change blocksize dynamically, and have fewer memory I/O. + +## Why is My GPU Approach So Slow? +My work-efficient implementation outperforme cpu version with array size larger than 2^24. It is really a large array size, so it shows my implementation is not that efficient. Most threads in upper/down sweep is not working. However when the arraysize is very large, the compuitation advantage overcomes the overhead. + +## Output of the Test Program +![](img/4.png) \ No newline at end of file diff --git a/Untitled.ipynb b/Untitled.ipynb new file mode 100644 index 0000000..d2f566b --- /dev/null +++ b/Untitled.ipynb @@ -0,0 +1,134 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "id": "3baafad3-1245-4453-8da6-f02c7cd9c38f", + "metadata": {}, + "outputs": [], + "source": [ + "from matplotlib import pyplot as plt" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "id": "abfc9211-06bb-4770-8e95-257558632c2c", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(dpi=1200,figsize=[8,6])\n", + "plt.loglog([2**x for x in [10,12,14,16,18,20,22,24,26,28]],[0.0008,0.0024,0.0096,0.0414,0.1511,0.6225,2.951,10.9567,42.156,168],c='b',label='cpu')\n", + "plt.loglog([2**x for x in [10,12,14,16,18,20,22,24,26,28]],[0.0225,0.0266,0.0328,0.0430,0.0748,0.4669,1.9323,8.4633,37.6361,166],c='k',label='naive')\n", + "plt.loglog([2**x for x in [10,12,14,16,18,20,22,24,26,28]],[0.7383,0.8795,1.0527,1.1510,1.4203,2.1598,3.7325,9.3717,30.2122,117],c='r',label='efficient')\n", + "plt.loglog([2**x for x in [10,12,14,16,18,20,22,24,26,28]],[0.0440,0.0409,0.0481,0.0645,0.1370,0.1692,0.2424,0.5017,1.46,5.33],c='y',label='thrust')\n", + "plt.xlabel('array size')\n", + "plt.ylabel('time elapsed (ms)')\n", + "plt.legend()\n", + "plt.savefig('2.png',dpi=1200)" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "id": 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