From 88aba45ee3bb300b20b7dce634f160d0f8dde6f7 Mon Sep 17 00:00:00 2001 From: Connie Chang Date: Sun, 16 Sep 2018 18:11:15 -0400 Subject: [PATCH 01/15] CPU scans done --- stream_compaction/cpu.cu | 131 ++++++++++++++++++++++++++------------- 1 file changed, 87 insertions(+), 44 deletions(-) diff --git a/stream_compaction/cpu.cu b/stream_compaction/cpu.cu index 05ce667..2527218 100644 --- a/stream_compaction/cpu.cu +++ b/stream_compaction/cpu.cu @@ -1,50 +1,93 @@ -#include -#include "cpu.h" - +#include +#include "cpu.h" + #include "common.h" - -namespace StreamCompaction { - namespace CPU { + +namespace StreamCompaction { + namespace CPU { using StreamCompaction::Common::PerformanceTimer; PerformanceTimer& timer() { static PerformanceTimer timer; return timer; - } - - /** - * 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 - timer().endCpuTimer(); - } - - /** - * CPU stream compaction without using the scan function. - * - * @returns the number of elements remaining after compaction. - */ - int compactWithoutScan(int n, int *odata, const int *idata) { - timer().startCpuTimer(); - // TODO - timer().endCpuTimer(); - return -1; - } - - /** - * CPU stream compaction using scan and scatter, like the parallel version. - * - * @returns the number of elements remaining after compaction. - */ - int compactWithScan(int n, int *odata, const int *idata) { - timer().startCpuTimer(); - // TODO - timer().endCpuTimer(); - return -1; - } - } -} + } + + /** + * 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 + int sum = 0; + for (unsigned int i = 0; i < n; i++) { + odata[i] = sum; + sum += idata[i]; + } + + timer().endCpuTimer(); + } + + /** + * CPU stream compaction without using the scan function. + * + * @returns the number of elements remaining after compaction. + */ + int compactWithoutScan(int n, int *odata, const int *idata) { + timer().startCpuTimer(); + // TODO + int count = 0; + for (unsigned int i = 0; i < n; i++) { + if (idata[i] != 0) { + odata[count] = idata[i]; + count++; + } + } + + timer().endCpuTimer(); + return count; + } + + /** + * CPU stream compaction using scan and scatter, like the parallel version. + * + * @returns the number of elements remaining after compaction. + */ + int compactWithScan(int n, int *odata, const int *idata) { + timer().startCpuTimer(); + // TODO + int* map01 = new int[n]; + int* scanned = new int[n]; + for (unsigned int i = 0; i < n; i++) { + if (idata[i] == 0) { + map01[i] = 0; + } + else { + map01[i] = 1; + } + } + + int sum = 0; + for (unsigned int i = 0; i < n; i++) { + scanned[i] = sum; + sum += map01[i]; + } + + unsigned int count = 0; + for (unsigned int i = 1; i < n; i++) { + if (scanned[i] != scanned[i - 1]) { + odata[scanned[i - 1]] = idata[i - 1]; + count++; + } + } + + delete map01; + delete scanned; + + timer().endCpuTimer(); + + return count; + } + } +} From e184b5f76408bf92219926bb2700afb28c536d38 Mon Sep 17 00:00:00 2001 From: Connie Chang Date: Sun, 16 Sep 2018 21:11:16 -0400 Subject: [PATCH 02/15] GPU Naive works --- builds/cis565_stream_compaction_test.VC.db | Bin 0 -> 18952192 bytes stream_compaction/common.cu | 17 +++++ stream_compaction/efficient.cu | 10 +-- stream_compaction/naive.cu | 70 +++++++++++++++++++-- 4 files changed, 87 insertions(+), 10 deletions(-) create mode 100644 builds/cis565_stream_compaction_test.VC.db diff --git a/builds/cis565_stream_compaction_test.VC.db b/builds/cis565_stream_compaction_test.VC.db new file mode 100644 index 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zAnTA-DOsh;ys81Jc3GK{mAa(IVsVR%O$ut`8$Dk0KaF8N&uu`jn+-p&@5V+z3!s`h$h+m7h+jwy;AlH6CD zY<_9|Vjb<=5)Eskm9XnBMHS)jg|tlyyMmhX$Sis(7btbKL$SCwZj?x73tOQBiWi2A zJs^eSHdI9a#%4xpWNCERnnS-dU>OU-DURL%ok7va9B?JHVP9?|VJB^|HY{zMDjX}! z9Z6cEpDZfWjNH=BV$0#J+acO_a<9F@t+?7hWGkJedcOs^U_X9wPfjzT&7BFZAF4`f z3OS&^HVuSY+98qiJ(8t46iPR`G)7J53b$)?h)S3@Ns$bbvyf|$-Rut&{o*!!YCdj> zJe#G$bz$(%sdZ+bi$<56v`guzEzS{Ld(jvzo<2%`ya=r&5D_}@TDo+h3WqF(W`a9@ zej8ctNJv61gcBAs#Qq|wh@5DqBmEpM?vUkPce)gOeR=YQ9qKEcrB103siduRQzO1^ zt{dSH(=@bb$K4eUZ#0?-?e0vV?s!ETdC5>&I_5a+E=+%TH2%gvTH5hUphCUp0Z_5s zZD|wc?(;B&*BzIzaX8{Ow;(ZJ$FhZwbFsUuQeW7nnIObQ0)3Ism7Kbj( z?ut8~w9lTzrtZ736`{N}vWs-Fa=!kvJKH;i!Ia*IN}psC~!#63@#VrTIa>6APj zUCS+5#6LAc-aDU~DUKp+n<8xSF`IrSP|?UBe|5}mU>uj+4QaU7rGWEHpyKd`+= levelPower) { + odata[index] = idata[index - levelPower] + idata[index]; + } + else { + odata[index] = idata[index]; + } + } /** * Performs prefix-sum (aka scan) on idata, storing the result into odata. @@ -19,6 +31,54 @@ namespace StreamCompaction { void scan(int n, int *odata, const int *idata) { timer().startGpuTimer(); // TODO + + // Initialize blockSize and fullBlocksPerGrid + int blockSize = 128; + dim3 fullBlocksPerGrid((n + blockSize - 1) / blockSize); + + // Initialize variables and device arrays + int totalLevels = ilog2ceil(n); + int *dev_write; + int *dev_read; + + // Allocate device arrays + cudaMalloc((void**)&dev_write, n * sizeof(int)); + checkCUDAError("cudaMalloc dev_write failed!"); + + cudaMalloc((void**)&dev_read, n * sizeof(int)); + checkCUDAError("cudaMalloc dev_read failed!"); + + // Copy input data into dev_read + cudaMemcpy(dev_read, idata, sizeof(int) * n, cudaMemcpyHostToDevice); + + // Go through the levels of Naive scan + for (unsigned int level = 1; level <= totalLevels; level++) { + int levelPower = pow(2, level - 1); + + // invoke kernel + kernNaiveScan << > >(n, levelPower, dev_write, dev_read); + + // Ping-pong write and read arrays + int* temp = dev_write; + dev_write = dev_read; + dev_read = temp; + } + + // Copy final values into temporary array + int* tempArray = new int[n]; + cudaMemcpy(tempArray, dev_read, sizeof(int) * n, cudaMemcpyDeviceToHost); + + // Copy values from tempArray while shifting values to convert inclusive scan to exclusive scan + odata[0] = 0; + for (int i = 1; i < n; i++) { + odata[i] = tempArray[i - 1]; + } + + // Free memory + delete tempArray; + cudaFree(dev_write); + cudaFree(dev_read); + timer().endGpuTimer(); } } From b2ecc1935c1e699e0cb9e5154adf2d60fd13a92c Mon Sep 17 00:00:00 2001 From: Connie Chang Date: Mon, 17 Sep 2018 23:08:33 -0400 Subject: [PATCH 03/15] Work-Efficient scan is working --- stream_compaction/efficient.cu | 78 ++++++++++++++++++++++++++++++++++ stream_compaction/naive.cu | 13 +++--- 2 files changed, 86 insertions(+), 5 deletions(-) diff --git a/stream_compaction/efficient.cu b/stream_compaction/efficient.cu index fd1d622..27c4c84 100644 --- a/stream_compaction/efficient.cu +++ b/stream_compaction/efficient.cu @@ -12,13 +12,91 @@ namespace StreamCompaction { return timer; } + // Kernal that does a up-sweep + __global__ void kernUpSweep(int n, int levelPowerOne, int levelPower, int *odata) { + int index = (blockIdx.x * blockDim.x) + threadIdx.x; + + int divide = index / levelPowerOne; + if (index - (divide * levelPowerOne) == 0) { + odata[index + levelPowerOne - 1] += odata[index + levelPower - 1]; + } + + } + + // Kernal that does a down-sweep + __global__ void kernDownSweep(int n, int levelPowerPlusOne, int levelPower, int *odata) { + int index = (blockIdx.x * blockDim.x) + threadIdx.x; + + int divide = index / levelPowerPlusOne; + if (index - (divide * levelPowerPlusOne) == 0) { + int temp = odata[index + levelPower - 1]; + odata[index + levelPower - 1] = odata[index + levelPowerPlusOne - 1]; + odata[index + levelPowerPlusOne - 1] += temp; + } + } + /** * Performs prefix-sum (aka scan) on idata, storing the result into odata. */ void scan(int n, int *odata, const int *idata) { + + // Initialize blockSize and fullBlocksPerGrid + int blockSize = 128; + dim3 fullBlocksPerGrid((n + blockSize - 1) / blockSize); + + // Initialize variables and device arrays + int totalLevels = ilog2ceil(n); + int arraySize = pow(2, totalLevels); // To handle non-power of two lengths + int *dev_array; + + // Allocate device array. + cudaMalloc((void**) &dev_array, arraySize * sizeof(int)); + checkCUDAError("cudaMalloc dev_array failed!"); + + // Copy input data into dev_read + cudaMemcpy(dev_array, idata, sizeof(int) * n, cudaMemcpyHostToDevice); + + timer().startGpuTimer(); // TODO + // Go through the levels for Up Sweep + for (unsigned int level = 0; level <= totalLevels; level++) { + int levelPowerOne = pow(2, level + 1); + int levelPower = pow(2, level); + + // invoke kernel + kernUpSweep << > >(n, levelPowerOne, levelPower, dev_array); + + } + + // Copy values to a temporary array + int* temp_array = new int[arraySize]; + cudaMemcpy(temp_array, dev_array, sizeof(int) * arraySize, cudaMemcpyDeviceToHost); + + // Set the last element to zero + temp_array[arraySize - 1] = 0; + + // Copy array back to GPU + cudaMemcpy(dev_array, temp_array, sizeof(int) * arraySize, cudaMemcpyHostToDevice); + + // Go through the levels for Down Sweep + for (int level = totalLevels - 1; level >= 0; level--) { + int levelPowerPlusOne = pow(2, level + 1); + int levelPower = pow(2, level); + + // invoke kernel + kernDownSweep << > >(n, levelPowerPlusOne, levelPower, dev_array); + + } + + // Copy data from GPU to output array + cudaMemcpy(odata, dev_array, sizeof(int) * n, cudaMemcpyDeviceToHost); + timer().endGpuTimer(); + + // Free memory + cudaFree(dev_array); + delete temp_array; } /** diff --git a/stream_compaction/naive.cu b/stream_compaction/naive.cu index 1129afa..f97dc98 100644 --- a/stream_compaction/naive.cu +++ b/stream_compaction/naive.cu @@ -29,8 +29,6 @@ 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 // Initialize blockSize and fullBlocksPerGrid int blockSize = 128; @@ -42,14 +40,18 @@ namespace StreamCompaction { int *dev_read; // Allocate device arrays - cudaMalloc((void**)&dev_write, n * sizeof(int)); + cudaMalloc((void**) &dev_write, n * sizeof(int)); checkCUDAError("cudaMalloc dev_write failed!"); - cudaMalloc((void**)&dev_read, n * sizeof(int)); + cudaMalloc((void**) &dev_read, n * sizeof(int)); checkCUDAError("cudaMalloc dev_read failed!"); // Copy input data into dev_read cudaMemcpy(dev_read, idata, sizeof(int) * n, cudaMemcpyHostToDevice); + + + timer().startGpuTimer(); + // TODO // Go through the levels of Naive scan for (unsigned int level = 1; level <= totalLevels; level++) { @@ -74,12 +76,13 @@ namespace StreamCompaction { odata[i] = tempArray[i - 1]; } + timer().endGpuTimer(); + // Free memory delete tempArray; cudaFree(dev_write); cudaFree(dev_read); - timer().endGpuTimer(); } } } From 5d77b922c5860f1879af7ad05bb26a3a365fae55 Mon Sep 17 00:00:00 2001 From: Connie Chang Date: Mon, 17 Sep 2018 23:57:25 -0400 Subject: [PATCH 04/15] Work efficient compaction is working --- stream_compaction/common.cu | 1 + stream_compaction/efficient.cu | 86 +++++++++++++++++++++++++++++++--- stream_compaction/efficient.h | 2 + stream_compaction/naive.cu | 6 ++- stream_compaction/thrust.cu | 10 ++-- 5 files changed, 92 insertions(+), 13 deletions(-) diff --git a/stream_compaction/common.cu b/stream_compaction/common.cu index 43f331c..45c8d90 100644 --- a/stream_compaction/common.cu +++ b/stream_compaction/common.cu @@ -27,6 +27,7 @@ namespace StreamCompaction { int index = (blockIdx.x * blockDim.x) + threadIdx.x; if (index < n) { + int stop = idata[index]; if (idata[index] == 0) { bools[index] = 0; } diff --git a/stream_compaction/efficient.cu b/stream_compaction/efficient.cu index 27c4c84..135c314 100644 --- a/stream_compaction/efficient.cu +++ b/stream_compaction/efficient.cu @@ -12,7 +12,7 @@ namespace StreamCompaction { return timer; } - // Kernal that does a up-sweep + // Kernel that does a up-sweep __global__ void kernUpSweep(int n, int levelPowerOne, int levelPower, int *odata) { int index = (blockIdx.x * blockDim.x) + threadIdx.x; @@ -23,7 +23,7 @@ namespace StreamCompaction { } - // Kernal that does a down-sweep + // Kernel that does a down-sweep __global__ void kernDownSweep(int n, int levelPowerPlusOne, int levelPower, int *odata) { int index = (blockIdx.x * blockDim.x) + threadIdx.x; @@ -35,10 +35,17 @@ namespace StreamCompaction { } } + /** + * Performs prefix-sum (aka scan) on idata, storing the result into odata. + */ + void scan(int n, int *odata, const int *idata) { + scan(n, odata, idata, true); + } + /** * 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, const bool time) { // Initialize blockSize and fullBlocksPerGrid int blockSize = 128; @@ -56,8 +63,9 @@ namespace StreamCompaction { // Copy input data into dev_read cudaMemcpy(dev_array, idata, sizeof(int) * n, cudaMemcpyHostToDevice); - - timer().startGpuTimer(); + if (time) { + timer().startGpuTimer(); + } // TODO // Go through the levels for Up Sweep for (unsigned int level = 0; level <= totalLevels; level++) { @@ -92,7 +100,9 @@ namespace StreamCompaction { // Copy data from GPU to output array cudaMemcpy(odata, dev_array, sizeof(int) * n, cudaMemcpyDeviceToHost); - timer().endGpuTimer(); + if (time) { + timer().endGpuTimer(); + } // Free memory cudaFree(dev_array); @@ -109,10 +119,72 @@ namespace StreamCompaction { * @returns The number of elements remaining after compaction. */ int compact(int n, int *odata, const int *idata) { + int blockSize = 128; + dim3 fullBlocksPerGrid((n + blockSize - 1) / blockSize); + + // Device arrays + int *dev_inData; + int *dev_outData; + int *dev_bool; + int *dev_scan; + + // Allocate device array. + cudaMalloc((void**) &dev_inData, n * sizeof(int)); + checkCUDAError("cudaMalloc dev_inData failed!"); + + cudaMalloc((void**) &dev_outData, n * sizeof(int)); + checkCUDAError("cudaMalloc dev_outData failed!"); + + cudaMalloc((void**) &dev_bool, n * sizeof(int)); + checkCUDAError("cudaMalloc dev_bool failed!"); + + cudaMalloc((void**) &dev_scan, n * sizeof(int)); + checkCUDAError("cudaMalloc dev_scan failed!"); + timer().startGpuTimer(); // TODO + + // Map to booleans + cudaMemcpy(dev_inData, idata, sizeof(int) * n, cudaMemcpyHostToDevice); + Common::kernMapToBoolean << < fullBlocksPerGrid, blockSize >> > (n, dev_bool, dev_inData); + + // Create host arrays that will be passed into scan + int *scan_inData = new int[n]; + int *scan_outData = new int[n]; + cudaMemcpy(scan_inData, dev_bool, sizeof(int) * n, cudaMemcpyDeviceToHost); + + bool lastOne = scan_inData[n - 1]; // Remember if last bool is a 1. Will be used later. + + // Scan + scan(n, scan_outData, scan_inData, false); + + // Use result from scan to find how many elements are compacted + int count = scan_outData[n - 1]; + if (lastOne) { + count++; + } + + // Copy scan result to device + cudaMemcpy(dev_scan, scan_outData, sizeof(int) * n, cudaMemcpyHostToDevice); + + // Perform scatter + Common::kernScatter << < fullBlocksPerGrid, blockSize >> > (n, dev_outData, + dev_inData, dev_bool, dev_scan); + + // Copy result to CPU + cudaMemcpy(odata, dev_outData, sizeof(int) * n, cudaMemcpyDeviceToHost); + timer().endGpuTimer(); - return -1; + + // Free memory + cudaFree(dev_inData); + cudaFree(dev_bool); + cudaFree(dev_scan); + + delete scan_inData; + delete scan_outData; + + return count; } } } diff --git a/stream_compaction/efficient.h b/stream_compaction/efficient.h index 803cb4f..277f0d7 100644 --- a/stream_compaction/efficient.h +++ b/stream_compaction/efficient.h @@ -8,6 +8,8 @@ namespace StreamCompaction { void scan(int n, int *odata, const int *idata); + void scan(int n, int *odata, const int *idata, const bool time); + int compact(int n, int *odata, const int *idata); } } diff --git a/stream_compaction/naive.cu b/stream_compaction/naive.cu index f97dc98..8849a70 100644 --- a/stream_compaction/naive.cu +++ b/stream_compaction/naive.cu @@ -13,10 +13,14 @@ namespace StreamCompaction { return timer; } // TODO: __global__ - // Kernal that does a naive INCLUSIVE scan + // Kernel that does a naive INCLUSIVE scan __global__ void kernNaiveScan(int n, int levelPower, int *odata, const int *idata) { int index = (blockIdx.x * blockDim.x) + threadIdx.x; + if (index >= n) { + return; + } + if (index >= levelPower) { odata[index] = idata[index - levelPower] + idata[index]; } diff --git a/stream_compaction/thrust.cu b/stream_compaction/thrust.cu index 36b732d..e3b3268 100644 --- a/stream_compaction/thrust.cu +++ b/stream_compaction/thrust.cu @@ -8,11 +8,11 @@ namespace StreamCompaction { namespace Thrust { - using StreamCompaction::Common::PerformanceTimer; - PerformanceTimer& timer() - { - static PerformanceTimer timer; - return timer; + using StreamCompaction::Common::PerformanceTimer; + PerformanceTimer& timer() + { + static PerformanceTimer timer; + return timer; } /** * Performs prefix-sum (aka scan) on idata, storing the result into odata. 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z^1U`H-_EA3%0$nxDRBG$BYtQ@CR)zRYrTlN{_BYyO#1~bxgbxf4lOw^smo|dEkC^x ze>%O_!l;n#htJ%co!^rwPj56Tzkte5u{vmeDsU2&ep$$ePN(^Atx> z7@=9HW&AjN(RF4;&b~GK)XIigNXM3D9ao@e(a%TLX<6&USa`dpGowWoDvZ75YAsm>kO8E`w*zLQcxGM()XmeOUz>_Onr5i~1`c}7 AqW}N^ diff --git a/src/main.cpp b/src/main.cpp index 1850161..cf7b0db 100644 --- a/src/main.cpp +++ b/src/main.cpp @@ -88,6 +88,20 @@ int main(int argc, char* argv[]) { //printArray(SIZE, c, true); printCmpResult(SIZE, b, c); + zeroArray(SIZE, c); + printDesc("thrust scan, power-of-two"); + StreamCompaction::Thrust::scan(SIZE, c, a); + printElapsedTime(StreamCompaction::Thrust::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); + //printArray(SIZE, c, true); + printCmpResult(SIZE, b, c); + + zeroArray(SIZE, c); + printDesc("thrust scan, non-power-of-two"); + StreamCompaction::Thrust::scan(NPOT, c, a); + printElapsedTime(StreamCompaction::Thrust::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); + //printArray(NPOT, c, true); + printCmpResult(NPOT, b, c); + zeroArray(SIZE, c); printDesc("thrust scan, non-power-of-two"); StreamCompaction::Thrust::scan(NPOT, c, a); diff --git a/stream_compaction/thrust.cu b/stream_compaction/thrust.cu index e3b3268..a8bde3a 100644 --- a/stream_compaction/thrust.cu +++ b/stream_compaction/thrust.cu @@ -18,10 +18,22 @@ namespace StreamCompaction { * Performs prefix-sum (aka scan) on idata, storing the result into odata. */ void scan(int n, int *odata, const int *idata) { + + thrust::host_vector dev_thrust_idataHost = thrust::host_vector(idata, idata + n); + thrust::device_vector dev_thrust_idata = dev_thrust_idataHost; + + thrust::host_vector dev_thrust_odataHost = thrust::host_vector(n, 0); + thrust::device_vector dev_thrust_odata = dev_thrust_odataHost; + timer().startGpuTimer(); // TODO use `thrust::exclusive_scan` // example: for device_vectors dv_in and dv_out: // thrust::exclusive_scan(dv_in.begin(), dv_in.end(), dv_out.begin()); + + thrust::exclusive_scan(dev_thrust_idata.begin(), dev_thrust_idata.end(), dev_thrust_odata.begin()); + + thrust::copy(dev_thrust_odata.begin(), dev_thrust_odata.end(), odata); + timer().endGpuTimer(); } } From 5d9a19069358416ae6baaea560ce32b2ceff8d59 Mon Sep 17 00:00:00 2001 From: Connie Chang Date: Tue, 18 Sep 2018 14:19:59 -0400 Subject: [PATCH 06/15] Started README. Wrote Intro and CPU implementations --- README.md | 78 ++++++++++++++++++++++++++++++++++++++++++++++++++----- 1 file changed, 72 insertions(+), 6 deletions(-) diff --git a/README.md b/README.md index 0e38ddb..72ec793 100644 --- a/README.md +++ b/README.md @@ -3,12 +3,78 @@ 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) +## Stream Compaction and Scan Algorithms with CUDA on the GPU +### Connie Chang + * [LinkedIn](linkedin.com/in/conniechang44), [Demo Reel](vimeo.com/ConChang/DemoReel) +* Tested on: Windows 10, Intel Xeon CPU E5-1630 v4 @ 3.70 GHz, GTX 1070 8GB (SIG Lab) -### (TODO: Your README) +## Introduction +This project explores different algorithms for stream compaction and exclusive scan, implemented in parallel with CUDA. We compare their performances to see which one is the best. -Include analysis, etc. (Remember, this is public, so don't put -anything here that you don't want to share with the world.) +__Exclusive Scan__ +Exclusive scan takes an array of integers as input and outputs another array of integers of the same length. Each element of the output is the sum of all previous elements of the input, excluding the current element. (For example, output[i] = sum(input[0] + ... + input[i - 1]). +__Stream Compaction__ +Stream compaction takes an array of integers as input and removes all the zeroes in it. Therefore, it outputs another array of integers that is of the same length or shorter. (For example, an input of [1, 5, 0, 3, 6, 0, 9] would result in [1, 5, 3, 6, 9]) + +## CPU Implementation +The CPU implementation is the most basic of the implementations in this project. The results from here become the baseline for comparison with later methods. + +__Exclusive Scan__ +On the CPU, exclusive scan is a simple FOR loop summing up all the elements in the input array. The pseudocode is as follows: +``` +sum = 0 +for (i = 0 ... (n - 1)) // n is size of input + output[i] = sum + sum += input[i] +``` + + __Stream Compaction__ +Likewise, stream compaction loops through all elements of the input array. If the element is not a zero, add it to the end of the output. +``` +count = 0 +for (i = 0 ... (n - 1)) // n is size of input + if input[i] != 0 + output[count] = input[i] + count++ +``` + +__Stream Compaction using Scan__ +This implementation is more interesting because it uses two other algorithms (scan and scatter) to complete stream compaction. First, the input is mapped to an array of 0s and 1s. If the input is a 0, then the map contains a 0 at the element. Otherwise, it is a 1. For example, +``` +input = [1, 5, 0, 3, 6, 0, 9] +``` +maps to +``` +01 map = [1, 1, 0, 1, 1, 0, 1] +``` +Next, the 01 map is scanned using an exclusive scan. The result of the scan gives the index of where each non-zero element goes in the final output. For our example, +``` +scan of 01 map = [0, 1, 2, 2, 3, 4, 4] +``` +Finally, to achieve the final result, we loop through the 01 map. If the current position contains a 1, we know the element in the input array at that position should be in the output. The find what index it should be in for the output, we look at the scan of 01 map. The number at the current position is the final index. Then, we just copy the input element to the corresponding index in the output. + +Here's the pseudocode of the entire algorithm: +``` +// Map input to 01 map +for (i = 0 ... (n - 1)) // n is length of input + if (input[i] == 0) + 01map[i] = 0 + else + 01map[i] = 1 + +// Run exclusive scan on 01map +scan = exclusive scan(01map) + +for (i = 0 ... (n - 1)) + if 01map[i] == 1 + output[scan[i - 1]] = input[i] +``` + +## GPU Naive Algorithms + +## GPU Work-Efficient Algorithms + +## GPU Thrust Function + +## Performance Analysis From 59626796c52d37b686797a258e9225b34da3a7de Mon Sep 17 00:00:00 2001 From: Connie Chang Date: Tue, 18 Sep 2018 14:28:46 -0400 Subject: [PATCH 07/15] Changed cpu implementation to be more readable --- builds/cis565_stream_compaction_test.VC.db | Bin 19152896 -> 19152896 bytes src/main.cpp | 2 +- stream_compaction/cpu.cu | 13 +++++++------ 3 files changed, 8 insertions(+), 7 deletions(-) diff --git a/builds/cis565_stream_compaction_test.VC.db b/builds/cis565_stream_compaction_test.VC.db index d9f49374f71c6f7fef1aedb42dc4ac771e3c264d..f931000255d4d42d2d956558564c49518c9434c6 100644 GIT binary patch delta 2514 zcmYk-3se->83*wB_Rec(cX_i5EP+L^NNGV*s$w)71rtMkpmAfPB(ScCKzJ0^CaD@J zA~Ycu$fg-J)+HuXqDZt<$4BFspiOOj#m2U2qY{ili;Yc<#+nfOAM~`DbAJDsyYt<9 z=dtHbeSN#R9@?BVzdb&e=I<^(lt9x0iHUY+9!rb$RWB_mD)X0A))iG&FU`uznwXRA zXwD53B*xN=-txr7VW~$VS(@n^b-pS;>kDUNO?BR7B}M+~qUxHGDt5H@O6H@Xf{mY@ z937~c>k5>*!^j$V+MP+3K$kmRQ25!7$Uu0ZtM{gRLnzq-?Q>HEYYLl9fo``;u#6tz zG${=QO$F3cVA@;2UYSF&+U6~66Y=KHm2_=#2a6znLa~F?-4Dh^t2x_Qv|?Ut5#z)< ze{G4{)4?*e-dEW)(Nbv3apw4{D{Cf~tNk09L$i0W^Q5}Avkdu(yB*YPZ?LiQF^!+E@VI^jE5|^7rqDC@O_v76JZkMz+|`&rodFVUpwJ;&wP=NtM)VQMG@gF znUz#6&8=Cnpscc_7B8r|;fxy|fN3xtav=|9z=QA*%!G#_AASI{U^dKwxljP}U_KaQ zE&vZa3Jc+f@E9zD#ZU;3!xK;h#o&b{;De=50?VKjmO~koLj^nul~4uMPy;`LTBrj* ztbiZGQ}8rA13!V4unJbgv#?>;Z>7^8gbsKWw!&-hI&{LX zU>kJ78?YUAKsW4!9(WUW!EX39^uljo59|dE_Q8HQ00-f>@D>~b9S+0W@DB9B5jYCJ zgLmQga18zc@4<060Vm-UoQC(|4Ezy3fV1!?_%r+kK7_x*-{2!S2j}4e^uxz602kpC zxCEDB5QgCI@DCV4o&HacnuKfGww$X@kw%*P+*jdW@EQCYuEFPU9d5uETA%x- zWwO!f^fNcV6wvATnw#(+xCLLrSK9G4BR7govY;L5A6ZE>tUWL=vP0l)E-p^JIyhpF zie%|zEV*8ve_@$_`6E7WRYh~`&^pm95HV zx1ts1n;#Mm-)gV;FroCa^_t3iXs?3Vq)y7v%@UTU-{q6%v%gl4yx2-ckyc zLcIo!=SALZ=1SG@dCMHL(3#IxJc-j&9uO7L8$ful*a}3%~Kv7?+me zB9r1t^h9{#J;s8idmTyiwTV2VLz}6mjL#ON*hPAMToN@35fUBbELVh6<^kIcc9afE zA8Our0-eM+iY;~e$xfam6EC(rCaC@IvQ+)Ex4ag0P1^sYOJvVu2LmthFnM z2pbOrn$7d6hCVnMD%DZE+D*?6U1zJs+I3sks?=&_!_{@I*0rVfd)Bqv>+=5m?|=DU zE_vnkx~s46QtF{Ik&3#KW>L}J#RuJ_gghQcVgyTbl~yk;D_$NftE?@qtX`Uxm34de zL}#-tROoS$+F#*W5anx&VQKvTtShYwvesyJGhbU$URE5eF0KxgRk8N|iy3#>MMcO@ zi3jZ zlhjbyR7g#Q{JuiArGVn~t=rgU60Bb3BR#j9jU&NTm$_E!+AzoAR_t7>#I;zfmRAM6 z6vx%O{`;z$ywt_Xv3SBQ+M>R)1;;MvQ+CryBsZ- z23BS-*3N8UPEGA)ampf_lpxgxYs&Pyd)dy*(u?$h;FUB>w{S3C9a4{~gX#fQSNEzr z)$M9n-K2)pcKvj>aNc$+7b!Dh67?0?TO~%k#I=7pwAov^NX#(E64$1U?h>BT>Ym{5 z*GG2?&yac2)!#CiY@GZ!IOvr)>@NJj~+3+2>9dck2!X1zY^WaX%hXR-ng-`_FhabQX;YV;6+zt1@ zy>K5afQ7IK?uTMn3?;AxN?|FKK{+gg2Vgl=zzTQ}DxnIhApj3S4b(yqR>F^A6+8^9 z;SpE^kHSyjF{p!jSPKoX4jN%SG(j``6n+LR&D?Fh$oZPlMOcV6Xns5cL9o^hxYu+9VLpMALPr=jh3~YyA!4BwwUqdhKgk7*3 z`rujE1AE~&&=1eS0PF)Do`?PL0{j+!2M6FF7;p$)gx|v;9EKzC2Y3no2uI;%cmM$kv+ypQgY)nnT!0byJNyGi z;UfHV$M)d+M|i$m-!bV@qC}^f2mP1eU+@9^8$N`O;4)l+kM%+SRa>rk(uvhqKNWG( zvAV19ANT}5h0pY3bz@f+^YW;EczA3L(KUVg*|D9X5W~_*yL4g95nCB3DGhQPR4=ER zcU5!J((D=;gU{hwt80Whzzk1@YlP9L&P4I$4!K((L^LCrkD8cG69Os;Lg12y1o@;b)E#ddyb5feJ-ki5sx%RO4f|JUXr@xwa zU>-O1ASW`bz!Sqs)K~EJZk~LGv;E)EPAr(MVD0q_thZV{;dk&EMyf0jQHf*4jd9tH zvGm5c#2k&oBTm|%{?!i+n?E$AqbD|=5SN(*Gl^!B%-lpqPpq4Y)5)UMAG$Lkyscq8 zZi1OnMQq+UHLMSM$ZZ^W)Jt2sd^T69slQ=z^* zX` #include "testing_helpers.hpp" -const int SIZE = 1 << 8; // feel free to change the size of array +const int SIZE = 1 << 17; // feel free to change the size of array const int NPOT = SIZE - 3; // Non-Power-Of-Two int *a = new int[SIZE]; int *b = new int[SIZE]; diff --git a/stream_compaction/cpu.cu b/stream_compaction/cpu.cu index 2527218..fa6e3fa 100644 --- a/stream_compaction/cpu.cu +++ b/stream_compaction/cpu.cu @@ -72,20 +72,21 @@ namespace StreamCompaction { for (unsigned int i = 0; i < n; i++) { scanned[i] = sum; sum += map01[i]; - } + } unsigned int count = 0; - for (unsigned int i = 1; i < n; i++) { - if (scanned[i] != scanned[i - 1]) { - odata[scanned[i - 1]] = idata[i - 1]; + for (unsigned int i = 0; i < n; i++) { + //if (scanned[i] != scanned[i - 1]) { + if (map01[i] == 1) { + odata[scanned[i]] = idata[i]; count++; } } + + timer().endCpuTimer(); delete map01; delete scanned; - - timer().endCpuTimer(); return count; } From 81f09969571ead45158f7317b9fba889fe21ccb3 Mon Sep 17 00:00:00 2001 From: Connie Chang Date: Tue, 18 Sep 2018 16:44:03 -0400 Subject: [PATCH 08/15] Updated README with work efficient algorithms --- README.md | 51 +++++++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 51 insertions(+) diff --git a/README.md b/README.md index 72ec793..ca9b219 100644 --- a/README.md +++ b/README.md @@ -72,8 +72,59 @@ for (i = 0 ... (n - 1)) ``` ## GPU Naive Algorithms +The naive algorithm on the GPU has to take advantage of the GPU's parallelism. The algorithm starts by replacing the current element with the sum of the current element and the one before it. Then, the current element is replaced by the sum of it and the integer 2 positions before it. Then, it's the sum of itself and the integer 2^2=4 positions before. Then, itself and 2^3=8 positions before. And so on, until 2^(k) exceeds the size of the array. The image below, from *GPU Gems,* illustrates this method: + +![](img/figure-39-2.jpg) + +Note that this creates an inclusive scan. We need to convert it to an exclusive scan by shifting every element to the right and adding a zero to the beginning. + +The pseudocode for the CPU side is: +``` +for (k = 1 ... ilog2(n)) // n is size of input + Launch kernel, passing in k +``` + +The pseudocode for the device kernel is: +``` +if (index >= 2^k) + output[index] = input[index - 2^k] + input[index] +else + output[index] = input[index] +``` ## GPU Work-Efficient Algorithms +The work efficient algorithm is somewhat similar to naive but with some improvements (maybe? See Performance Analysis below). The algorithm has two steps: Up-Sweep and Down-Sweep. Up-Sweep starts by going to every other element and summing itself with the previous element. It replaces the current element with the sum. Then, it does the same for the new integers. And so on, until there is only one new sum. In a sense, you are building up a tree. The image below, taken from CIS 565 slides, demonstrates this: +![](img/work_efficient_up_sweep.png) + +The Down-Sweep is more complicated. First, the last element is set to 0. Then, each element passes its value to its left child in the tree. The right child is the sum of the current value and the left child's previous value. This process is repeated as we work down the tree. The image, also taken from CIS 565 slides, illustrates this: +![](img/work_efficient_down_sweep.png) + +The pseudocode is as follows: +``` +// Up Sweep +for k = 0 ... ilogceil(n) // n is size of input + Launch Up Sweep kernel + +Set last element of Up Sweep result to 0 + +// Down Sweep +for k = (ilogceil(n) - 1) ... 0 + Launch Down Sweep kernel +``` + +Pseudocode for Up Sweep kernel: +``` +if (index % 2^(k+1) == 0) + data[index + 2^(k+1) - 1] += data[index + 2^k - 1] +``` + +Pseudocode for Down Sweep kernel: +``` +if (index % 2^(k+1) == 0) + temp = data[index + 2^k - 1] + data[index + 2^k - 1] = data[index + 2^(k+1) - 1] // Set left child to current element + data[index + 2^(k+1) - 1] += temp // Set current element to sum of itself and left child +``` ## GPU Thrust Function From f1b784c8baead380898377ace3e66ecc3da850e1 Mon Sep 17 00:00:00 2001 From: Connie Chang Date: Tue, 18 Sep 2018 16:44:39 -0400 Subject: [PATCH 09/15] Add screenshots of lecture slides --- img/work_efficient_down_sweep.PNG | Bin 0 -> 29446 bytes img/work_efficient_up_sweep.PNG | Bin 0 -> 20106 bytes 2 files changed, 0 insertions(+), 0 deletions(-) create mode 100644 img/work_efficient_down_sweep.PNG create mode 100644 img/work_efficient_up_sweep.PNG diff --git a/img/work_efficient_down_sweep.PNG b/img/work_efficient_down_sweep.PNG new file mode 100644 index 0000000000000000000000000000000000000000..5e51b55ecbfc14a35970ff9fd4a577ae45115491 GIT binary patch literal 29446 zcmeFZcT`l(vo=bGL4u3|lG6|*3rNmL7;;hs1w?YrAX#7(QGsCyqhv&qL@4dzGlN9^=C5_K;xzS#LkJjNHC9&lVE zwog*rGKUS$j&po`XKZ_~Bkq)$FR&tTz|;4G{f85MZv)Sv)NbWtyAM@)+19>YN$%2~ zUAdfqOu(O~q!7%@3p-ix<^O4T|DS&#{{6>~SanU!1#t`vAB)a}+fMYpOH3l?0i|@~ z&I`lSf$XL<1``ES)*bOYmBg~qvS9Jo_XG?c-eO1Ij8k=6EvWFVxAps;D5AB{ooX5p zWLn{PVkPmJ!OOvA$^rkNDUx_2aecb(V)*07Tc`>LQXaJqB%im8`epXg@3r7?2J*jO}-NxyY;yPyb_R0qzb-5g${|`b)0Q2hgko0{s~e zsf6%n=TD(0RRKfBQ*J@^qMJz8v6IpN-p6^sdYMfC82{MNzD2Xcdh(qBIX)-onCjU; 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zJ2*qZ82Zf3=^LX^O%1hAVBu?yD{Xgx^?30Q3!`lY!C7esGjZp}C7zsc^t{iQZMuHi zoxonE8=3;ybrlyW1}_sCWwp~e9~;X4Ovhbj%$C$3vte#!ZR}A16a!}U8B%y*LW3Yi z7VEZn#G8ZV3!$ih0fFnkpO%CBZhl{OLzx}< z82(&)^Y_g+k@!akWx=}lzfHy0W|#rH;?11^Ilq5*E!MKNAs=TBs$l5kW@F{Qrs~ZB z=(cW{cLFc_sciI5P{yA-t0=c??V*>vD7AZJzU(di>s4A+Aq2V4!dQZzV}t7>t6}Ts zbEs5SyE@boiZHH;vlc7>>3yzaUDt@_Tg==bB{44=FU=Arc{U!^v@_|mwovpx zxuk1F&WK2!mT%Bn_Y1To?->a$|1-a^uk--d9jH2+@!=ML76rKkNR&*%f0K(i_d%9# zt7d4k@y|73|KWPA+Cq{mKR*Bf literal 0 HcmV?d00001 From 4db32c1d3a72ac88ed2d33121314fb70ec31e413 Mon Sep 17 00:00:00 2001 From: Connie Chang Date: Tue, 18 Sep 2018 16:45:56 -0400 Subject: [PATCH 10/15] Fixed README images --- README.md | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/README.md b/README.md index ca9b219..10b6aba 100644 --- a/README.md +++ b/README.md @@ -94,10 +94,10 @@ else ## GPU Work-Efficient Algorithms The work efficient algorithm is somewhat similar to naive but with some improvements (maybe? See Performance Analysis below). The algorithm has two steps: Up-Sweep and Down-Sweep. Up-Sweep starts by going to every other element and summing itself with the previous element. It replaces the current element with the sum. Then, it does the same for the new integers. And so on, until there is only one new sum. In a sense, you are building up a tree. The image below, taken from CIS 565 slides, demonstrates this: -![](img/work_efficient_up_sweep.png) +![](img/work_efficient_up_sweep.PNG) The Down-Sweep is more complicated. First, the last element is set to 0. Then, each element passes its value to its left child in the tree. The right child is the sum of the current value and the left child's previous value. This process is repeated as we work down the tree. The image, also taken from CIS 565 slides, illustrates this: -![](img/work_efficient_down_sweep.png) +![](img/work_efficient_down_sweep.PNG) The pseudocode is as follows: ``` From a253ec30a96bd975c1b59e39f5ca7738aa0b2e9f Mon Sep 17 00:00:00 2001 From: Connie Chang Date: Tue, 18 Sep 2018 22:49:22 -0400 Subject: [PATCH 11/15] Updated README --- README.md | 103 ++++++++++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 103 insertions(+) diff --git a/README.md b/README.md index 10b6aba..1f10fb5 100644 --- a/README.md +++ b/README.md @@ -127,5 +127,108 @@ if (index % 2^(k+1) == 0) ``` ## GPU Thrust Function +For performance comparison, I also ran thrust's implementation of exclusive scan. + +## Example Output from the Program +Here is an example of what the program outputs to the terminal. This run was done on an array size of 2^8. The tests were given in class, but I copied the Thrust tests to make each of them run twice. +``` +**************** +** SCAN TESTS ** +**************** + [ 4 4 39 19 26 38 40 32 19 14 0 28 20 ... 2 0 ] +==== cpu scan, power-of-two ==== + elapsed time: 0.0005ms (std::chrono Measured) + [ 0 4 8 47 66 92 130 170 202 221 235 235 263 ... 5837 5839 ] +==== cpu scan, non-power-of-two ==== + elapsed time: 0.0002ms (std::chrono Measured) + [ 0 4 8 47 66 92 130 170 202 221 235 235 263 ... 5785 5792 ] + passed +==== naive scan, power-of-two ==== + elapsed time: 0.058368ms (CUDA Measured) + passed +==== naive scan, non-power-of-two ==== + elapsed time: 0.05632ms (CUDA Measured) + passed +==== work-efficient scan, power-of-two ==== + elapsed time: 0.149504ms (CUDA Measured) + passed +==== work-efficient scan, non-power-of-two ==== + elapsed time: 0.156672ms (CUDA Measured) + passed +==== thrust scan, power-of-two ==== + elapsed time: 4.34893ms (CUDA Measured) + passed +==== thrust scan, power-of-two ==== + elapsed time: 0.048128ms (CUDA Measured) + passed +==== thrust scan, non-power-of-two ==== + elapsed time: 0.063488ms (CUDA Measured) + passed +==== thrust scan, non-power-of-two ==== + elapsed time: 0.053248ms (CUDA Measured) + passed + +***************************** +** STREAM COMPACTION TESTS ** +***************************** + [ 0 2 3 1 0 0 2 2 3 2 0 2 0 ... 0 0 ] +==== cpu compact without scan, power-of-two ==== + elapsed time: 0.0008ms (std::chrono Measured) + [ 2 3 1 2 2 3 2 2 2 3 3 1 2 ... 2 1 ] + passed +==== cpu compact without scan, non-power-of-two ==== + elapsed time: 0.0009ms (std::chrono Measured) + [ 2 3 1 2 2 3 2 2 2 3 3 1 2 ... 1 2 ] + passed +==== cpu compact with scan ==== + elapsed time: 0.0036ms (std::chrono Measured) + [ 2 3 1 2 2 3 2 2 2 3 3 1 2 ... 2 1 ] + passed +==== work-efficient compact, power-of-two ==== + elapsed time: 0.4608ms (CUDA Measured) + passed +==== work-efficient compact, non-power-of-two ==== + elapsed time: 0.723968ms (CUDA Measured) + passed +Press any key to continue . . . +``` ## Performance Analysis +The tables and graphs below show how long each algorithm took (in milliseconds) to scan/compact a given array size. To find the ideal block size, I ran each algorithm using 128, 256, and 512 blocks, and used the fastest time for each. The times are measured using a CPU timer and GPU timer. None of memory allocation is included in the timings. All the arrays in the analysis have sizes that are powers of two. However, the algorithms work on non-power-of-two sizes as well. Once array sizes reach the order of 2^19, cudaMalloc failes. Presumably because there are too many intermediate arrays of large lengths and there is not enough memory. + +__Exclusive Scan Table__ +| Array Size | CPU Scan | Naive Scan (256 blocks) | Work-efficient Scan (128 blocks) | Thrust scan | +| ------------- | ------------- | ----- | ----- | ----- | +| 2^4 | 0.0002 | 0.050176 | 0.156672 | 0.050176 | +| 2^8 | 0.0006 | 0.057344 | 0.159744 | 0.050176 | +| 2^10 | 0.0012 | 0.064512 | 0.187392 | 0.066560 | +| 2^15 | 0.0325 | 0.130912 | 0.309696 | 0.260096 | +| 2^17 | 0.0985 | 0.435616 | 0.663552 | 0.339968 | +| 2^18 | 1.1116 | 0.820160 | 1.442270 | 0.589824 | + +__Exclusive Scan Graph__ +![](img/scan_performance.PNG) + +__Stream Compaction Table__ +| Array Size | CPU Compact without scan | CPU Compact with scan | Work-efficient compact (256 blocks) | +| ----- | ----- | ----- | ----- | +| 2^4 | 0.0002 | 0.0013 | 0.351232 | +| 2^8 | 0.0008 | 0.0038 | 0.369664 | +| 2^10 | 0.0025 | 0.0076 | 0.614400 | +| 2^15 | 0.0752 | 0.1144 | 0.759808 | +| 2^17 | 0.3076 | 0.7340 | 2.308100 | +| 2^18 | 0.6233 | 2.4728 | 3.639300 | + +__Stream Compaction Graph__ +![](img/compaction_performance.PNG) + + +__Analysis Questions__ + +_Can you find the performance bottlenecks? Is it memory I/O? Computation? Is it different for each implementation?_ +My guess is that memory I/O is a bottleneck for the work efficient methods. This is because of the step between Up Sweep and Down Sweep of scan. I need to copy data from the GPU to the CPU just to set the last element to zero. Then I copy this back to the GPU from the CPU. This memory transfer is extremely slow because it is between hardware. Likewise, stream compaction has extra memory copies between host and device. In fact, it copies data from GPU to CPU in order to pass the data to the CPU scan function, only to have the scan function copy this data back to the GPU before computation begins. This is a very inefficient step. This could be solved by copying the scan code into the compact function. Then, altering the scan code to work directly with the device arrays already in compact. + +For naive, the bottleneck is probably at the end, where I convert the inclusive scan result to exclusive scan. I do this sequentially in the CPU, looping through the entire array, and shifting their values. This would be much more efficient on the GPU. + +_What might be happening inside the Thrust implementation?_ +The first time Thrust runs exclusive scan, it takes a significant amount of time. For example, in the output above, it took 4.34893 ms. But the second time only took 0.048128 ms. Thrust must be instantiating something on the first run that it needs for exclusive scan. Those objects persist in memory throughout the lifetime of the program, so the next calls to thrust::exclusive_scan do not need to instantiate them again and can run faster. 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zVBzRG4Ej}2QqnK6O9>7p$$(DHP+Ty68Qz33ZCzbmh1oksy#ImNBLMp^h{Za8;Lm>{ k@&Esi{l9|i-a}i5vAw1rHPNdT*zL(mDoSKMc>Lo31J9WeSpWb4 literal 0 HcmV?d00001 diff --git a/src/main.cpp b/src/main.cpp index 9c7fcfe..cf7b0db 100644 --- a/src/main.cpp +++ b/src/main.cpp @@ -13,7 +13,7 @@ #include #include "testing_helpers.hpp" -const int SIZE = 1 << 17; // feel free to change the size of array +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]; diff --git a/stream_compaction/common.h b/stream_compaction/common.h index 99a1b04..2d7a781 100644 --- a/stream_compaction/common.h +++ b/stream_compaction/common.h @@ -13,6 +13,8 @@ #define FILENAME (strrchr(__FILE__, '/') ? strrchr(__FILE__, '/') + 1 : __FILE__) #define checkCUDAError(msg) checkCUDAErrorFn(msg, FILENAME, __LINE__) +const int blockSize = 128; + /** * 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 135c314..94c1618 100644 --- a/stream_compaction/efficient.cu +++ b/stream_compaction/efficient.cu @@ -50,7 +50,7 @@ namespace StreamCompaction { // Initialize blockSize and fullBlocksPerGrid int blockSize = 128; dim3 fullBlocksPerGrid((n + blockSize - 1) / blockSize); - + // Initialize variables and device arrays int totalLevels = ilog2ceil(n); int arraySize = pow(2, totalLevels); // To handle non-power of two lengths @@ -119,7 +119,7 @@ namespace StreamCompaction { * @returns The number of elements remaining after compaction. */ int compact(int n, int *odata, const int *idata) { - int blockSize = 128; + int blockSize = 256; dim3 fullBlocksPerGrid((n + blockSize - 1) / blockSize); // Device arrays diff --git a/stream_compaction/naive.cu b/stream_compaction/naive.cu index 8849a70..cd73645 100644 --- a/stream_compaction/naive.cu +++ b/stream_compaction/naive.cu @@ -35,7 +35,7 @@ namespace StreamCompaction { void scan(int n, int *odata, const int *idata) { // Initialize blockSize and fullBlocksPerGrid - int blockSize = 128; + int blockSize = 256; dim3 fullBlocksPerGrid((n + blockSize - 1) / blockSize); // Initialize variables and device arrays From 0ba8d9386e88d3ebee1b485574630301a05260a8 Mon Sep 17 00:00:00 2001 From: Connie Chang Date: Tue, 18 Sep 2018 22:52:51 -0400 Subject: [PATCH 13/15] Fixed typos in README --- README.md | 6 ++++-- 1 file changed, 4 insertions(+), 2 deletions(-) diff --git a/README.md b/README.md index 1f10fb5..ae08437 100644 --- a/README.md +++ b/README.md @@ -197,6 +197,7 @@ Press any key to continue . . . The tables and graphs below show how long each algorithm took (in milliseconds) to scan/compact a given array size. To find the ideal block size, I ran each algorithm using 128, 256, and 512 blocks, and used the fastest time for each. The times are measured using a CPU timer and GPU timer. None of memory allocation is included in the timings. All the arrays in the analysis have sizes that are powers of two. However, the algorithms work on non-power-of-two sizes as well. Once array sizes reach the order of 2^19, cudaMalloc failes. Presumably because there are too many intermediate arrays of large lengths and there is not enough memory. __Exclusive Scan Table__ + | Array Size | CPU Scan | Naive Scan (256 blocks) | Work-efficient Scan (128 blocks) | Thrust scan | | ------------- | ------------- | ----- | ----- | ----- | | 2^4 | 0.0002 | 0.050176 | 0.156672 | 0.050176 | @@ -207,9 +208,10 @@ __Exclusive Scan Table__ | 2^18 | 1.1116 | 0.820160 | 1.442270 | 0.589824 | __Exclusive Scan Graph__ -![](img/scan_performance.PNG) +![](img/scan_performance.png) __Stream Compaction Table__ + | Array Size | CPU Compact without scan | CPU Compact with scan | Work-efficient compact (256 blocks) | | ----- | ----- | ----- | ----- | | 2^4 | 0.0002 | 0.0013 | 0.351232 | @@ -220,7 +222,7 @@ __Stream Compaction Table__ | 2^18 | 0.6233 | 2.4728 | 3.639300 | __Stream Compaction Graph__ -![](img/compaction_performance.PNG) +![](img/compaction_performance.png) __Analysis Questions__ From 291391fdaa2f0c1fff179be6b6d8a69544bccab1 Mon Sep 17 00:00:00 2001 From: Connie Chang Date: Tue, 18 Sep 2018 22:56:19 -0400 Subject: [PATCH 14/15] Touch up README --- README.md | 5 +++++ 1 file changed, 5 insertions(+) diff --git a/README.md b/README.md index ae08437..b73c49c 100644 --- a/README.md +++ b/README.md @@ -11,6 +11,9 @@ CUDA Stream Compaction ## Introduction This project explores different algorithms for stream compaction and exclusive scan, implemented in parallel with CUDA. We compare their performances to see which one is the best. +![](img/figure-39-2.jpg) +An image from _GPU Gems_, illustrating the naive scan algorithm. + __Exclusive Scan__ Exclusive scan takes an array of integers as input and outputs another array of integers of the same length. Each element of the output is the sum of all previous elements of the input, excluding the current element. (For example, output[i] = sum(input[0] + ... + input[i - 1]). @@ -228,9 +231,11 @@ __Stream Compaction Graph__ __Analysis Questions__ _Can you find the performance bottlenecks? Is it memory I/O? Computation? Is it different for each implementation?_ + My guess is that memory I/O is a bottleneck for the work efficient methods. This is because of the step between Up Sweep and Down Sweep of scan. I need to copy data from the GPU to the CPU just to set the last element to zero. Then I copy this back to the GPU from the CPU. This memory transfer is extremely slow because it is between hardware. Likewise, stream compaction has extra memory copies between host and device. In fact, it copies data from GPU to CPU in order to pass the data to the CPU scan function, only to have the scan function copy this data back to the GPU before computation begins. This is a very inefficient step. This could be solved by copying the scan code into the compact function. Then, altering the scan code to work directly with the device arrays already in compact. For naive, the bottleneck is probably at the end, where I convert the inclusive scan result to exclusive scan. I do this sequentially in the CPU, looping through the entire array, and shifting their values. This would be much more efficient on the GPU. _What might be happening inside the Thrust implementation?_ + The first time Thrust runs exclusive scan, it takes a significant amount of time. For example, in the output above, it took 4.34893 ms. But the second time only took 0.048128 ms. Thrust must be instantiating something on the first run that it needs for exclusive scan. Those objects persist in memory throughout the lifetime of the program, so the next calls to thrust::exclusive_scan do not need to instantiate them again and can run faster. From 7cbcfc813406ca8a2ed0e7b92bfb236b601cb092 Mon Sep 17 00:00:00 2001 From: Connie Chang Date: Sat, 29 Sep 2018 23:14:58 -0400 Subject: [PATCH 15/15] Fix personal urls in readme --- README.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/README.md b/README.md index b73c49c..765bf7a 100644 --- a/README.md +++ b/README.md @@ -5,7 +5,7 @@ CUDA Stream Compaction ## Stream Compaction and Scan Algorithms with CUDA on the GPU ### Connie Chang - * [LinkedIn](linkedin.com/in/conniechang44), [Demo Reel](vimeo.com/ConChang/DemoReel) + * [LinkedIn](https://www.linkedin.com/in/conniechang44), [Demo Reel](https://www.vimeo.com/ConChang/DemoReel) * Tested on: Windows 10, Intel Xeon CPU E5-1630 v4 @ 3.70 GHz, GTX 1070 8GB (SIG Lab) ## Introduction

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