From 0df5954e2e3965e884b402b81a46965bb181c24a Mon Sep 17 00:00:00 2001 From: Nick Moon Date: Sun, 18 Sep 2022 16:48:42 -0400 Subject: [PATCH 01/11] adding most code changes, images, readme updates, etc. --- README.md | 192 ++++++++++++++- images/figures/graph_blocksize.png | Bin 0 -> 134194 bytes images/figures/graph_compact.png | Bin 0 -> 98630 bytes images/figures/graph_scan.png | Bin 0 -> 102210 bytes images/results/compact_15.PNG | Bin 0 -> 39038 bytes images/results/compact_20.PNG | Bin 0 -> 39357 bytes images/results/compact_25.PNG | Bin 0 -> 39591 bytes images/results/scan_15.PNG | Bin 0 -> 67393 bytes images/results/scan_20.PNG | Bin 0 -> 69762 bytes images/results/scan_25.PNG | Bin 0 -> 70479 bytes src/main.cpp | 90 +++++-- src/testing_helpers.hpp | 2 +- stream_compaction/common.cu | 51 +++- stream_compaction/common.h | 10 + stream_compaction/cpu.cu | 148 ++++++++++- stream_compaction/cpu.h | 4 + stream_compaction/efficient.cu | 381 ++++++++++++++++++++++++++++- stream_compaction/efficient.h | 6 + stream_compaction/naive.cu | 98 +++++++- stream_compaction/thrust.cu | 11 +- 20 files changed, 955 insertions(+), 38 deletions(-) create mode 100644 images/figures/graph_blocksize.png create mode 100644 images/figures/graph_compact.png create mode 100644 images/figures/graph_scan.png create mode 100644 images/results/compact_15.PNG create mode 100644 images/results/compact_20.PNG create mode 100644 images/results/compact_25.PNG create mode 100644 images/results/scan_15.PNG create mode 100644 images/results/scan_20.PNG create mode 100644 images/results/scan_25.PNG diff --git a/README.md b/README.md index 0e38ddb..fdd9b4f 100644 --- a/README.md +++ b/README.md @@ -3,12 +3,192 @@ 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) +* Nick Moon + * [LinkedIn](https://www.linkedin.com/in/nick-moon1/), [personal website](https://nicholasmoon.github.io/) +* Tested on: Windows 10, AMD Ryzen 9 5900HS @ 3.0GHz 32GB, NVIDIA RTX 3060 Laptop 6GB (Personal Laptop) -### (TODO: Your README) +**This is a Stream Compaction algorithm implementation in C++ using CUDA for GPU acceleration. This allows for +compacting arrays with millions of elements in parallel on the GPU.** -Include analysis, etc. (Remember, this is public, so don't put -anything here that you don't want to share with the world.) +### Results + +#### Array Scan + +![](images/results/scan_25.PNG) +*Figure 1: Array Scan test results with input array size = 2^25 (33554432).* + +![](images/results/scan_20.PNG) +*Figure 2: Array Scan test results with input array size = 2^20 (1048576).* + +![](images/results/scan_15.PNG) +*Figure 3: Array Scan test results with input array size = 2^15 (32768).* + +#### Stream Compaction + +![](images/results/scan_25.PNG) +*Figure 1: Array Scan test results with input array size = 2^25 (33554432).* + +![](images/results/scan_20.PNG) +*Figure 2: Array Scan test results with input array size = 2^20 (1048576).* + +![](images/results/scan_15.PNG) +*Figure 3: Array Scan test results with input array size = 2^15 (32768).* + + +## Implementaion + +### Array Scan + +The array scan algorithm + +#### CPU Implementation + +The CPU implementation implements the array scan algorithm in a serial format, according to the pseudocode + +``` +function scan_cpu(input_array, output_array, number_of_elements): + + output_array[0] = 0 + for i in range [1, number_of_elements): + output_array[i] = output_array[i - 1] + input_array[i - 1] + +end +``` + +#### Naive CUDA Implemenation + +The Naive CUDA implementation maps the original cpu scan approach and maps it to parallel GPU hardware. +This necessitates the use of double-buffering in order to avoid race conditions. This means swapping the +two gpu arrays that are used as input and output each iteration. + +``` +function scan_gpu(input_array, output_array, number_of_elements): + + let o_array_gpu_0 = input_array (this is an array on the GPU) + let o_array_gpu_1 = o_array_gpu_0 (this is an array on the GPU) + + for all k in parallel: + shift_array_right(k, o_array_gpu_1, o_array_gpu_0) + + for d in range [1, ceil( log_2(n) ) ]: + for all k in parallel: + naive_scan_iteration(k, o_array_gpu_0, o_array_gpu_1, 2^d) + +end + +kernel shift_array_right(thread_ID, input_array, output_array): + if thread_ID_ == 0 then: + output_array[0] = 0 + else: + output_array[thread_ID] = input_array[thread_ID - 1] + +end + +kernel naive_scan_iteration(thread_ID, input_array, output_array, offset): + if (thread_ID < offset) then: + output_array[thread_ID] = input_array[thread_ID] + else: + output_array[thread_ID] = input_array[thread_ID - offset] + input_array[thread_ID] + +end +``` + +#### Work-Efficient CUDA Implementation + +To make the parallel approach more efficient, a different scheme is used. A problem with the previous method is +that + +``` +function scan_gpu(input_array, output_array, number_of_elements): + + let o_array_gpu_0 = input_array (this is an array on the GPU) + let o_array_gpu_1 = o_array_gpu_0 (this is an array on the GPU) + + for all k in parallel: + shift_array_right(k, o_array_gpu_1, o_array_gpu_0) + + for d in range [1, ceil( log_2(n) ) ]: + for all k in parallel: + naive_scan_iteration(k, o_array_gpu_0, o_array_gpu_1, 2^d) + +end + +kernel shift_array_right(thread_ID, input_array, output_array): + if thread_ID_ == 0 then: + output_array[0] = 0 + else: + output_array[thread_ID] = input_array[thread_ID - 1] + +end + +kernel naive_scan_iteration(thread_ID, input_array, output_array, offset): + if (thread_ID < offset) then: + output_array[thread_ID] = input_array[thread_ID] + else: + output_array[thread_ID] = input_array[thread_ID - offset] + input_array[thread_ID] + +end +``` + +#### Thrust Implementation + +For the thrust implementation, the input and output arrays are simply converted to thrust library +device vectors and the thrust "exclusive_scan()" function is called with them. The thrust device vector +for the output data is then transferred back to the host array. + +### Stream Compaction + +#### CPU Implementation + +#### Extra Credit + +I also implemented the extra credit to optimize and parameterize the grid-based looping to handle arbitrary +subgrid lengths. This involved calculating the number of cells needed to be checked in the x,y,z directions of the cell +grid, and then using these values to offset the grid cell indices from the current boid grid cell index. This feature +is how I generated Figure 7. + +## Testing Strategy + +The first step in the testing strategy was to figure out the optimal block size for the +different GPU implementations of the scan and stream compaction algorithms. Data from each +implementation was collected with a constant input array size of 2^25 (33,554,432) for +powers of two block sizes from 32 to 1024, and the resutls are shown in Figure XXX below. + +![](images/figures/graph_blocksize.png) +*Figure XXX: Effect of CUDA block size on runtime of scan and stream compaction.* + +## Performance Analysis + +As can be seen by Figure XXX below, the runtime of the scan algorithm increases linearly for each of the +different implementations, but the slope of this increase is different for each one. + +![](images/figures/graph_scan.png) +*Figure 5: Effect of input array size on runtiem of scan algorithm.* + +Likewise, Figure XXX below shows the runtime of the stream compaction algorithm also increases linearly +for each of the implementations, and again the slope of this increase is the only thing that changes. +However, unlike with scan, here the GPU stream compaction is significantly faster than either of the +CPU implementations for arrays with very large amounts of elements (>2000000). + +![](images/figures/graph_compact.png) +*Figure 6: Effect of cuda kernel block size on average fps for uniform grid-based simulation* + +As a final point of analysis, Figure 7 below displays the effect of changing the grid cell resolution with respect the +maximum neighbor search distance each boid uses to get nearby boids that influence its velocity. As can be shown, +balancing this ratio is important for improving and maintain efficiency, and the benefits of the grid-based system. +Too low a resolution, such as the first data point on the graph, and the performance is suboptimal as a lot of potentially +empty space is being encompassed by large cells. Too high a resolution, and the benefit of the grid-based system is lost. +There are now so many neighboring cells needed to be checked by a single boid, that even the increased potential +prevalence of empty cells is lost. The graph shows that having a resolution approximately equal to the maximum search distance +is optimal. + +![](images/figures/ratio_vs_fps.png) +*Figure 7: Effect of the ratio of grid cell width to boid neighbor max search distance on average FPS* + +### Bloopers + +![](images/bloopers/blooper_graydeath.PNG) +*Blooper caused by accessing wrong index values for boid position and velocity arrays* + +**For more bloopers, see images/bloopers.** diff --git a/images/figures/graph_blocksize.png b/images/figures/graph_blocksize.png new file mode 100644 index 0000000000000000000000000000000000000000..4d3aa86743b0282c08f6fa0c9baabaebbea7be52 GIT binary patch literal 134194 zcmeEucUY6z)^98$I4X!rlcHcjX;M_cP*em4rHJ&dAjALxLkT4`2L+@$qtc6rLg-RL zFBTvwB}xK;1c-tVAS9uMKtj21be!{@@0_dW?|V<4M>IYpd+oJ;>$l2Y`@MhF#9+^_ z2Y&^DKzj^-yL1f%+NlEq{c??W2k<}d&r1XYe{J!*W^fTy-YY&0yx9)9V0-}ts!ZOs zcH9aWAYRP0O8?@ZCE*g=*c9#H5jT(o$-BZ_IYq8ujtf2WymZ 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"testing_helpers.hpp" -const int SIZE = 1 << 8; // feel free to change the size of array +const int SIZE = 1 << 25; // 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]; int main(int argc, char* argv[]) { // Scan tests - printf("\n"); + std::cout << "number of elements in input array for power of 2 tests = " << SIZE << std::endl; + std::cout << "number of elements in input array for non-power of 2 tests = " << NPOT << std::endl; + + /*printf("\n"); printf("****************\n"); printf("** SCAN TESTS **\n"); printf("****************\n"); @@ -51,33 +54,61 @@ int main(int argc, char* argv[]) { printDesc("naive scan, power-of-two"); StreamCompaction::Naive::scan(SIZE, c, a); printElapsedTime(StreamCompaction::Naive::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); - //printArray(SIZE, c, true); + 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); */ + printArray(SIZE, c, true); zeroArray(SIZE, c); printDesc("naive scan, non-power-of-two"); StreamCompaction::Naive::scan(NPOT, c, a); printElapsedTime(StreamCompaction::Naive::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); - //printArray(SIZE, c, true); + printArray(NPOT, c, true); printCmpResult(NPOT, b, c); zeroArray(SIZE, c); printDesc("work-efficient scan, power-of-two"); StreamCompaction::Efficient::scan(SIZE, c, a); printElapsedTime(StreamCompaction::Efficient::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); - //printArray(SIZE, c, true); + printArray(SIZE, c, true); printCmpResult(SIZE, b, c); zeroArray(SIZE, c); printDesc("work-efficient scan, non-power-of-two"); StreamCompaction::Efficient::scan(NPOT, c, a); printElapsedTime(StreamCompaction::Efficient::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); + printArray(NPOT, c, true); + printCmpResult(NPOT, b, c); + + zeroArray(SIZE, c); + printDesc("work-efficient optimized scan, power-of-two"); + StreamCompaction::Efficient::scan_optimized(SIZE, c, a); + printElapsedTime(StreamCompaction::Efficient::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); + //printArray(SIZE, c, true); + printCmpResult(SIZE, b, c); + + zeroArray(SIZE, c); + printDesc("work-efficient optimized scan, non-power-of-two"); + StreamCompaction::Efficient::scan_optimized(NPOT, c, a); + printElapsedTime(StreamCompaction::Efficient::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); + //printArray(NPOT, c, true); + printCmpResult(NPOT, b, c); + + zeroArray(SIZE, c); + printDesc("work-efficient shared memory scan, power-of-two"); + StreamCompaction::Efficient::scan_sharedMem(SIZE, c, a); + printElapsedTime(StreamCompaction::Efficient::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); + //printArray(SIZE, c, true); + printCmpResult(SIZE, b, c); + + zeroArray(SIZE, c); + printDesc("work-efficient shared memory scan, non-power-of-two"); + StreamCompaction::Efficient::scan_sharedMem(NPOT, c, a); + printElapsedTime(StreamCompaction::Efficient::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); //printArray(NPOT, c, true); printCmpResult(NPOT, b, c); @@ -85,16 +116,16 @@ int main(int argc, char* argv[]) { printDesc("thrust scan, power-of-two"); StreamCompaction::Thrust::scan(SIZE, c, a); printElapsedTime(StreamCompaction::Thrust::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); - //printArray(SIZE, c, true); + 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); + printArray(NPOT, c, true); printCmpResult(NPOT, b, c); - + */ printf("\n"); printf("*****************************\n"); printf("** STREAM COMPACTION TESTS **\n"); @@ -137,16 +168,47 @@ 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); + /* + + printf("\n"); + printf("*****************************\n"); + printf("** RADIX SORT TESTS **\n"); + printf("*****************************\n"); + + genArray(SIZE - 1, a, 100); // Leave a 0 at the end to test that edge case + a[SIZE - 1] = 0; + printArray(SIZE, a, true); + + zeroArray(SIZE, b); + printDesc("cpu std::stable_sort, power-of-two"); + StreamCompaction::CPU::stdSort(SIZE, b, a); + printElapsedTime(StreamCompaction::CPU::timer().getCpuElapsedTimeForPreviousOperation(), "(std::chrono Measured)"); + printArray(SIZE, b, true); + + zeroArray(SIZE, c); + printDesc("cpu radix sort, power-of-two"); + StreamCompaction::CPU::radixSort(SIZE, c, a); + printElapsedTime(StreamCompaction::CPU::timer().getCpuElapsedTimeForPreviousOperation(), "(std::chrono Measured)"); + //printArray(SIZE, c, true); + printCmpResult(SIZE, b, c); + + zeroArray(SIZE, c); + printDesc("gpu radix sort, power-of-two"); + StreamCompaction::Efficient::radixSort(SIZE, c, a); + printElapsedTime(StreamCompaction::Efficient::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); + //printArray(SIZE, c, true); + printCmpResult(SIZE, b, c);*/ + system("pause"); // stop Win32 console from closing on exit delete[] a; delete[] b; diff --git a/src/testing_helpers.hpp b/src/testing_helpers.hpp index 025e94a..021ba09 100644 --- a/src/testing_helpers.hpp +++ b/src/testing_helpers.hpp @@ -61,7 +61,7 @@ void printArray(int n, int *a, bool abridged = false) { printf(" [ "); for (int i = 0; i < n; i++) { if (abridged && i + 2 == 15 && n > 16) { - i = n - 2; + i = n - 3; printf("... "); } printf("%3d ", a[i]); diff --git a/stream_compaction/common.cu b/stream_compaction/common.cu index 2ed6d63..232b38d 100644 --- a/stream_compaction/common.cu +++ b/stream_compaction/common.cu @@ -23,7 +23,18 @@ namespace StreamCompaction { * 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) { - // TODO + + int thread_num = threadIdx.x + (blockIdx.x * blockDim.x); + if (thread_num >= n) { + return; + } + + if (idata[thread_num] == 0) { + bools[thread_num] = 0; + } + else { + bools[thread_num] = 1; + } } /** @@ -32,8 +43,44 @@ namespace StreamCompaction { */ __global__ void kernScatter(int n, int *odata, const int *idata, const int *bools, const int *indices) { - // TODO + + int thread_num = threadIdx.x + (blockIdx.x * blockDim.x); + if (thread_num >= n) { + return; + } + + if (bools[thread_num] == 1) { + odata[indices[thread_num]] = idata[thread_num]; + } } + + /** + * Maps an array to an array of 0s and 1s for radix sort. Elements + * whose value in bit b is 1 are mapped to 1, otherwise 0 + */ + __global__ void kernMapToBooleanBitwiseCheck(int n, int c, int* bools, const int* idata) { + int thread_num = threadIdx.x + (blockIdx.x * blockDim.x); + if (thread_num >= n) { + return; + } + + if (idata[thread_num] & c) { + bools[thread_num] = 0; + } + else { + bools[thread_num] = 1; + } + } + + + __global__ void kernReverseArray(int n, int* odata_reversed, const int* odata) { + int thread_num = threadIdx.x + (blockIdx.x * blockDim.x); + if (thread_num >= n) { + return; + } + + odata_reversed[thread_num] = odata[n - thread_num - 1]; + } } } diff --git a/stream_compaction/common.h b/stream_compaction/common.h index d2c1fed..5a19fe2 100644 --- a/stream_compaction/common.h +++ b/stream_compaction/common.h @@ -9,10 +9,16 @@ #include #include #include +#include +#include #define FILENAME (strrchr(__FILE__, '/') ? strrchr(__FILE__, '/') + 1 : __FILE__) #define checkCUDAError(msg) checkCUDAErrorFn(msg, FILENAME, __LINE__) +#define blockSize 256 + +//#define inclusiveToExclusive + /** * Check for CUDA errors; print and exit if there was a problem. */ @@ -37,6 +43,10 @@ namespace StreamCompaction { __global__ void kernScatter(int n, int *odata, const int *idata, const int *bools, const int *indices); + __global__ void kernMapToBooleanBitwiseCheck(int n, int c, int* bools, const int* idata); + + __global__ void kernReverseArray(int n, int* odata_reversed, const int* odata); + /** * This class is used for timing the performance * Uncopyable and unmovable diff --git a/stream_compaction/cpu.cu b/stream_compaction/cpu.cu index 719fa11..c334ae4 100644 --- a/stream_compaction/cpu.cu +++ b/stream_compaction/cpu.cu @@ -19,7 +19,10 @@ namespace StreamCompaction { */ void scan(int n, int *odata, const int *idata) { timer().startCpuTimer(); - // TODO + odata[0] = 0; + for (int i = 1; i < n; ++i) { + odata[i] = odata[i - 1] + idata[i - 1]; + } timer().endCpuTimer(); } @@ -30,9 +33,15 @@ namespace StreamCompaction { */ int compactWithoutScan(int n, int *odata, const int *idata) { timer().startCpuTimer(); - // TODO + int num_elements = 0; + for (int i = 0; i < n; ++i) { + if (idata[i] != 0) { + odata[num_elements] = idata[i]; + ++num_elements; + } + } timer().endCpuTimer(); - return -1; + return num_elements; } /** @@ -41,10 +50,139 @@ namespace StreamCompaction { * @returns the number of elements remaining after compaction. */ int compactWithScan(int n, int *odata, const int *idata) { + int* temp_array = new int[n]; + timer().startCpuTimer(); - // TODO + + int num_elements = 0; + // GENERATE CONDITION VALUES + for (int i = 0; i < n; ++i) { + if (idata[i] == 0) { + odata[i] = 0; + } + else { + odata[i] = 1; + } + } + + // SCAN + temp_array[0] = 0; + for (int i = 1; i < n; ++i) { + temp_array[i] = temp_array[i - 1] + odata[i - 1]; + } + + // SCATTER + for (int i = 0; i < n; ++i) { + if (odata[i] == 1) { + odata[temp_array[i]] = idata[i]; + ++num_elements; + } + } + timer().endCpuTimer(); - return -1; + + delete[] temp_array; + + return num_elements; + } + + /** + * CPU radix sort implementation + * + * @param n The number of elements in idata. + * @param odata The array into which to store elements. + * @param idata The array of elements to sort. + */ + void radixSort(int n, int* odata, const int* idata) { + // not the greatest cpu implementation of radix sort (quite memory intensive), but functional + + int* temp_array_0 = new int[n * 2]; + int* temp_array_1 = new int[n * 2]; + + for (int i = 0; i < n; ++i) { + temp_array_0[i] = idata[i]; + } + + int index_left_partition = 0; + int index_right_partition = 0; + int num_left_partition = n; + int num_right_partition = 0; + + timer().startCpuTimer(); + + for (int b = 0; b < sizeof(int) * 8; ++b) { + // handle left partition + for (int i = 0; i < num_left_partition; ++i) { + if (!(temp_array_0[i] & (1 << b))) { + temp_array_1[index_left_partition] = temp_array_0[i]; + index_left_partition++; + } + else { + temp_array_1[index_right_partition + n] = temp_array_0[i]; + index_right_partition++; + } + } + + //handle right partition + for (int i = n; i < n + num_right_partition; ++i) { + if (!(temp_array_0[i] & (1 << b))) { + temp_array_1[index_left_partition] = temp_array_0[i]; + index_left_partition++; + } + else { + temp_array_1[index_right_partition + n] = temp_array_0[i]; + index_right_partition++; + } + } + + int* temp = temp_array_0; + temp_array_0 = temp_array_1; + temp_array_1 = temp; + + num_left_partition = index_left_partition; + num_right_partition = index_right_partition; + index_left_partition = 0; + index_right_partition = 0; + } + + + + timer().endCpuTimer(); + + // handle left partition + int odata_index = 0; + for (int i = 0; i < num_left_partition; ++i) { + odata[odata_index] = temp_array_0[i]; + odata_index++; + } + + //handle right partition + for (int i = n; i < n + num_right_partition; ++i) { + odata[odata_index] = temp_array_0[i]; + odata_index++; + } + + delete[] temp_array_0; + delete[] temp_array_1; + } + + /** + * CPU radix sort implementation using std::stable_sort + * + * @param n The number of elements in idata. + * @param odata The array into which to store elements. + * @param idata The array of elements to sort. + */ + void stdSort(int n, int* odata, const int* idata) { + std::vector vect_idata(idata, idata + n); + + timer().startCpuTimer(); + std::stable_sort(vect_idata.begin(), vect_idata.end()); + timer().endCpuTimer(); + + for (int i = 0; i < n; ++i) { + odata[i] = vect_idata[i]; + } } } } diff --git a/stream_compaction/cpu.h b/stream_compaction/cpu.h index 873c047..f1eb1a4 100644 --- a/stream_compaction/cpu.h +++ b/stream_compaction/cpu.h @@ -11,5 +11,9 @@ namespace StreamCompaction { int compactWithoutScan(int n, int *odata, const int *idata); int compactWithScan(int n, int *odata, const int *idata); + + void radixSort(int n, int* odata, const int* idata); + + void stdSort(int n, int* odata, const int* idata); } } diff --git a/stream_compaction/efficient.cu b/stream_compaction/efficient.cu index 2db346e..e0c1e87 100644 --- a/stream_compaction/efficient.cu +++ b/stream_compaction/efficient.cu @@ -12,15 +12,202 @@ namespace StreamCompaction { return timer; } + __global__ void kern_ComputeEfficientExclusiveScanUpSweepIteration(int N, int offset_d, int offset_d_plus_1, int* odata) { + int thread_num = threadIdx.x + (blockIdx.x * blockDim.x); + if (thread_num >= N) { + return; + } + + if (thread_num % offset_d_plus_1 == 0) { + odata[thread_num + offset_d_plus_1 - 1] += odata[thread_num + offset_d - 1]; + } + + } + + __global__ void kern_ComputeEfficientExclusiveScanDownSweepIteration(int N, int offset_d, int offset_d_plus_1, int* odata) { + int thread_num = threadIdx.x + (blockIdx.x * blockDim.x); + if (thread_num >= N) { + return; + } + + if (thread_num % offset_d_plus_1 == 0) { + int t = odata[thread_num + offset_d - 1]; + odata[thread_num + offset_d - 1] = odata[thread_num + offset_d_plus_1 - 1]; + odata[thread_num + offset_d_plus_1 - 1] += t; + } + + } + + __global__ void kern_ComputeEfficientExclusiveScanUpSweepIteration_optimized(int N, int N_over_2, int num_active_threads, int offset_d, int offset_d_plus_1, int* odata) { + int thread_num = threadIdx.x + (blockIdx.x * blockDim.x); + if (thread_num >= num_active_threads) { + return; + } + + int reversed_thread_num = (N - thread_num) - 1; + int reversed_offset = (N - offset_d) - 1; + + if (reversed_thread_num > reversed_offset) { + odata[reversed_thread_num] += odata[reversed_thread_num - offset_d]; + } + } + + __global__ void kern_ComputeEfficientExclusiveScanDownSweepIteration_optimized(int N, int num_active_threads, int offset_d, int offset_d_plus_1, int* odata) { + int thread_num = threadIdx.x + (blockIdx.x * blockDim.x); + if (thread_num >= N) { + return; + } + + int reversed_thread_num = (N - thread_num) - 1; + int reversed_offset = (N - offset_d) - 1; + + if (reversed_thread_num > reversed_offset) { + int t = odata[reversed_thread_num - offset_d]; + odata[reversed_thread_num - offset_d] = odata[reversed_thread_num]; + odata[reversed_thread_num] += t; + } + + } + + /** + * Performs prefix-sum (aka scan) on idata, storing the result into odata. + */ + void scan(int n, int* odata, const int* idata) { + int* dev_odata; + + // need to pad out original array to nearest power of two size + int old_n = n; + n = pow(2, ilog2ceil(n)); + + cudaMalloc((void**)&dev_odata, n * sizeof(int)); + cudaDeviceSynchronize(); + + // copy original data to GPU + cudaMemcpy(dev_odata, idata, sizeof(int) * n, cudaMemcpyHostToDevice); + // pad out rest of the expanded length with 0s + cudaMemset(dev_odata + (old_n), 0, sizeof(int) * (n - old_n)); + cudaDeviceSynchronize(); + + timer().startGpuTimer(); + + int numBlocks = (n + blockSize - 1) / blockSize; + + int num_iterations = ilog2ceil(n); + + // UPSWEEP + for (int d = 0; d <= num_iterations - 1; ++d) { + // compute upsweep iteration d + kern_ComputeEfficientExclusiveScanUpSweepIteration << < numBlocks, blockSize >> > (n, pow(2, d), pow(2, d + 1), dev_odata); + cudaDeviceSynchronize(); + } + + // set last element in array to 0 + cudaMemset(dev_odata + n - 1, 0, sizeof(int)); + cudaDeviceSynchronize(); + + // DOWNSWEEP + for (int d = num_iterations - 1; d >= 0; --d) { + // compute downsweep iteration d + kern_ComputeEfficientExclusiveScanDownSweepIteration << < numBlocks, blockSize >> > (n, pow(2, d), pow(2, d + 1), dev_odata); + cudaDeviceSynchronize(); + } + + timer().endGpuTimer(); + + // copy over array from device to output array on cpu, copying only original length data + cudaMemcpy(odata, dev_odata, sizeof(int) * old_n, cudaMemcpyDeviceToHost); + cudaDeviceSynchronize(); + + cudaFree(dev_odata); + cudaDeviceSynchronize(); + } + + /** * Performs prefix-sum (aka scan) on idata, storing the result into odata. + * + * This is a version of Efficient::Scan that is optimized as part of EXTRA CREDIT in + * Part 5: Why is My GPU Approach So Slow? */ - void scan(int n, int *odata, const int *idata) { + void scan_optimized(int n, int* odata, const int* idata) { + /*int* dev_odata; + + // need to pad out original array to nearest power of two size + int old_n = n; + n = pow(2, ilog2ceil(n)); + + cudaMalloc((void**)&dev_odata, n * sizeof(int)); + cudaDeviceSynchronize(); + + // copy original data to GPU + cudaMemcpy(dev_odata, idata, sizeof(int) * n, cudaMemcpyHostToDevice); + // pad out rest of the expanded length with 0s + cudaMemset(dev_odata + (old_n), 0, sizeof(int) * (n - old_n)); + cudaDeviceSynchronize(); + timer().startGpuTimer(); - // TODO + + int numBlocks = (n + blockSize - 1) / blockSize; + + int num_iterations = ilog2ceil(n); + + int num_active_threads = n; + + // UPSWEEP + for (int d = num_iterations; d > 0; --d) { + // compute upsweep iteration d + num_active_threads /= 2; + numBlocks = (num_active_threads + blockSize - 1) / blockSize; + //std::cout << num_active_threads << std::endl; + int reversed_thread_num = (n - 0) - 1; + int reversed_offset = (n - num_active_threads) - 1; + //std::cout << "fe: " << reversed_thread_num << " " << num_active_threads << " used_index: " << reversed_thread_num - num_active_threads << std::endl; + kern_ComputeEfficientExclusiveScanUpSweepIteration_optimized << < numBlocks, blockSize >> > (n, n / 2, num_active_threads, num_active_threads, pow(2, d + 1), dev_odata); + cudaDeviceSynchronize(); + } + + // set last element in array to 0 + cudaMemset(dev_odata + n - 1, 0, sizeof(int)); + cudaDeviceSynchronize(); + + numBlocks = (n + blockSize - 1) / blockSize; + + num_active_threads = 1; + + // DOWNSWEEP + for (int d = 0; d < num_iterations; ++d) { + // compute downsweep iteration d + + numBlocks = (num_active_threads + blockSize - 1) / blockSize; + kern_ComputeEfficientExclusiveScanDownSweepIteration_optimized <<< numBlocks, blockSize >>> (n, num_active_threads, num_active_threads, pow(2, d + 1), dev_odata); + cudaDeviceSynchronize(); + num_active_threads *= 2; + } + timer().endGpuTimer(); + + // copy over array from device to output array on cpu, copying only original length data + cudaMemcpy(odata, dev_odata, sizeof(int) * old_n, cudaMemcpyDeviceToHost); + cudaDeviceSynchronize(); + + cudaFree(dev_odata); + cudaDeviceSynchronize();*/ + } + + + /** + * Performs prefix-sum (aka scan) on idata, storing the result into odata. + * + * This is a version of Efficient::Scan that is optimized using shared memory as part of EXTRA CREDIT in + * Part 6: GPU Scan Using Shared Memory && Hardware Optimization + */ + void scan_sharedMem(int n, int* odata, const int* idata) { + } + + + /** * Performs stream compaction on idata, storing the result into odata. * All zeroes are discarded. @@ -30,11 +217,195 @@ 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) { + int* dev_idata; + int* dev_odata; + int* dev_boolean_map; + int* dev_indices; + + // need to pad out original array to nearest power of two size + int old_n = n; + n = pow(2, ilog2ceil(n)); + + cudaMalloc((void**)&dev_idata, n * sizeof(int)); + cudaMalloc((void**)&dev_odata, n * sizeof(int)); + cudaMalloc((void**)&dev_boolean_map, n * sizeof(int)); + cudaMalloc((void**)&dev_indices, n * sizeof(int)); + cudaDeviceSynchronize(); + + // copy original data to GPU + cudaMemcpy(dev_idata, idata, sizeof(int) * n, cudaMemcpyHostToDevice); + // pad out rest of the expanded length with 0s + cudaMemset(dev_idata + (old_n), 0, sizeof(int) * (n - old_n)); + + cudaDeviceSynchronize(); + + timer().startGpuTimer(); + + int numBlocks = (n + blockSize - 1) / blockSize; + + int num_iterations = ilog2ceil(n); + + //////////////////////////////////////////// + // MAP TO BOOLEAN + + StreamCompaction::Common::kernMapToBoolean << < numBlocks, blockSize >> > (n, dev_boolean_map, dev_idata); + cudaDeviceSynchronize(); + + //////////////////////////////////////////// + + // copy data from boolean map to index array for scan + cudaMemcpy(dev_indices, dev_boolean_map, sizeof(int) * n, cudaMemcpyDeviceToDevice); + cudaDeviceSynchronize(); + // pad out rest of the expanded length with 0s + cudaMemset(dev_indices + (old_n), 0, sizeof(int) * (n - old_n)); + + //////////////////////////////////////////// + // SCAN + + // UPSWEEP + for (int d = 0; d <= num_iterations - 1; ++d) { + // compute upsweep iteration d + kern_ComputeEfficientExclusiveScanUpSweepIteration << < numBlocks, blockSize >> > (n, pow(2, d), pow(2, d + 1), dev_indices); + cudaDeviceSynchronize(); + } + + // set last element in array to 0 + cudaMemset(dev_indices + n - 1, 0, sizeof(int)); + cudaDeviceSynchronize(); + + // DOWNSWEEP + for (int d = num_iterations - 1; d >= 0; --d) { + // compute downsweep iteration d + kern_ComputeEfficientExclusiveScanDownSweepIteration << < numBlocks, blockSize >> > (n, pow(2, d), pow(2, d + 1), dev_indices); + cudaDeviceSynchronize(); + } + + //////////////////////////////////////////// + + //////////////////////////////////////////// + // SCATTER + + StreamCompaction::Common::kernScatter << < numBlocks, blockSize >> > (n, dev_odata, dev_idata, dev_boolean_map, dev_indices); + cudaDeviceSynchronize(); + + //////////////////////////////////////////// + + + + timer().endGpuTimer(); + + // copy over last index value from gpu index array to local int to return + int last_index_val = 0; + int last_bool_val = 0; + cudaMemcpy(&last_index_val, dev_indices + old_n - 1, sizeof(int), cudaMemcpyDeviceToHost); + cudaMemcpy(&last_bool_val, dev_boolean_map + old_n - 1, sizeof(int), cudaMemcpyDeviceToHost); + cudaDeviceSynchronize(); + + int num_elements = last_index_val; + if (last_bool_val == 1) { + ++num_elements; + } + + // copy over array from device to output array on cpu, copying only original length data + cudaMemcpy(odata, dev_odata, sizeof(int) * old_n, cudaMemcpyDeviceToHost); + cudaDeviceSynchronize(); + + cudaFree(dev_idata); + cudaFree(dev_odata); + cudaFree(dev_boolean_map); + cudaFree(dev_indices); + cudaDeviceSynchronize(); + return num_elements; + } + + /** + * Performs radix sort idata, storing the result into odata. + * + * @param n The number of elements in idata. + * @param odata The array into which to store elements. + * @param idata The array of elements to sort. + */ + void radixSort(int n, int* odata, const int* idata) { + int* dev_i; + int* dev_b; + int* dev_e; + int* dev_f; + int* dev_t; + int* dev_d; + + // need to pad out original array to nearest power of two size + //int old_n = n; + //n = pow(2, ilog2ceil(n)); + + cudaMalloc((void**)&dev_i, n * sizeof(int)); + cudaMalloc((void**)&dev_b, n * sizeof(int)); + cudaMalloc((void**)&dev_e, n * sizeof(int)); + cudaMalloc((void**)&dev_f, n * sizeof(int)); + cudaMalloc((void**)&dev_t, n * sizeof(int)); + cudaMalloc((void**)&dev_d, n * sizeof(int)); + cudaDeviceSynchronize(); + + // copy original data to GPU + cudaMemcpy(dev_i, idata, sizeof(int) * n, cudaMemcpyHostToDevice); + cudaDeviceSynchronize(); + timer().startGpuTimer(); - // TODO + + int numBlocks = (n + blockSize - 1) / blockSize; + + for (int b = 0; b < sizeof(int) * 8; ++b) { + //////////////////////////////////////////// + // MAP TO BOOLEAN + StreamCompaction::Common::kernMapToBooleanBitwiseCheck << < numBlocks, blockSize >> > (n, 1 << b, dev_e, dev_i); + cudaDeviceSynchronize(); + + //////////////////////////////////////////// + /* + // copy data from boolean map to index array for scan + cudaMemcpy(dev_f, dev_e, sizeof(int) * n, cudaMemcpyDeviceToDevice); + cudaDeviceSynchronize(); + // pad out rest of the expanded length with 0s + cudaMemset(dev_f + (old_n), 0, sizeof(int) * (n - old_n)); + + //////////////////////////////////////////// + // SCAN + + // UPSWEEP + for (int d = 0; d <= num_iterations - 1; ++d) { + // compute upsweep iteration d + kern_ComputeEfficientExclusiveScanUpSweepIteration << < numBlocks, blockSize >> > (n, pow(2, d), pow(2, d + 1), dev_indices); + cudaDeviceSynchronize(); + } + + // set last element in array to 0 + cudaMemset(dev_indices + n - 1, 0, sizeof(int)); + cudaDeviceSynchronize(); + + // DOWNSWEEP + for (int d = num_iterations - 1; d >= 0; --d) { + // compute downsweep iteration d + kern_ComputeEfficientExclusiveScanDownSweepIteration << < numBlocks, blockSize >> > (n, pow(2, d), pow(2, d + 1), dev_indices); + cudaDeviceSynchronize(); + } + + //////////////////////////////////////////// + */ + } + timer().endGpuTimer(); - return -1; + + // copy over array from device to output array on cpu, copying only original length data + cudaMemcpy(odata, dev_e, sizeof(int) * n, cudaMemcpyDeviceToHost); + cudaDeviceSynchronize(); + + cudaFree(dev_i); + cudaFree(dev_b); + cudaFree(dev_e); + cudaFree(dev_f); + cudaFree(dev_t); + cudaFree(dev_d); + cudaDeviceSynchronize(); } } } diff --git a/stream_compaction/efficient.h b/stream_compaction/efficient.h index 803cb4f..a5fed4c 100644 --- a/stream_compaction/efficient.h +++ b/stream_compaction/efficient.h @@ -8,6 +8,12 @@ namespace StreamCompaction { void scan(int n, int *odata, const int *idata); + void scan_optimized(int n, int* odata, const int* idata); + + void scan_sharedMem(int n, int* odata, const int* idata); + int compact(int n, int *odata, const int *idata); + + void radixSort(int n, int* odata, const int* idata); } } diff --git a/stream_compaction/naive.cu b/stream_compaction/naive.cu index 4308876..e4a7b20 100644 --- a/stream_compaction/naive.cu +++ b/stream_compaction/naive.cu @@ -11,15 +11,109 @@ namespace StreamCompaction { static PerformanceTimer timer; return timer; } - // TODO: __global__ + + __global__ void kern_ComputeExclusiveScanIteration(int N, int offset, int* odata, int* idata) { + int thread_num = threadIdx.x + (blockIdx.x * blockDim.x); + if (thread_num >= N) { + return; + } + + // warp 0 will have divergent branches on offest == 1 but that would happen if moved to seperate kernel anyways + if (offset == 1 && thread_num == 0) { + // SPECIAL CASE: first iteration and 0th element should be zeroed-out for exclusive scan + odata[thread_num] = 0; + } + else if (offset == 1 && thread_num == 1) { + // SPECIAL CASE: first iteration and 1st element should be equal to the original 0th element for exclusive scan + odata[thread_num] = idata[thread_num - 1]; + } + else if (offset == 1 && thread_num > 1) { + // SPECIAL CASE: first iteration elements past index 1 should use two previous values for summing + odata[thread_num] = idata[thread_num - 2] + idata[thread_num - 1]; + } + else if (thread_num < offset) { + // same as for inclusive + odata[thread_num] = idata[thread_num]; + } + else { + // same as for inclusive + odata[thread_num] = idata[thread_num - offset] + idata[thread_num]; + } + } + + __global__ void kern_ComputeInclusiveScanIteration(int N, int offset, int* odata, int* idata) { + int thread_num = threadIdx.x + (blockIdx.x * blockDim.x); + if (thread_num >= N) { + return; + } + + + if (thread_num < offset) { + odata[thread_num] = idata[thread_num]; + } + else { + odata[thread_num] = idata[thread_num - offset] + idata[thread_num]; + } + } + + __global__ void kern_InclusiveToExclusiveScan(int N, int* odata, int* idata) { + int thread_num = threadIdx.x + (blockIdx.x * blockDim.x); + if (thread_num >= N) { + return; + } + + if (thread_num == 0) { + odata[thread_num] = 0; + } + else { + odata[thread_num] = idata[thread_num - 1]; + } + } /** * Performs prefix-sum (aka scan) on idata, storing the result into odata. */ void scan(int n, int *odata, const int *idata) { + int* dev_odata_1; + int* dev_odata_2; + + cudaMalloc((void**)&dev_odata_1, n * sizeof(int)); + cudaMalloc((void**)&dev_odata_2, n * sizeof(int)); + cudaDeviceSynchronize(); + + cudaMemcpy(dev_odata_1, idata, sizeof(int) * n, cudaMemcpyHostToDevice); + cudaDeviceSynchronize(); + timer().startGpuTimer(); - // TODO + + int numBlocks = (n + blockSize - 1) / blockSize; + + int num_iterations = ilog2ceil(n); + for (int d = 1; d <= num_iterations; ++d) { + // compute scan iteration d +#ifdef inclusiveToExclusive + kern_ComputeInclusiveScanIteration <<< numBlocks, blockSize >>> (n, pow(2, d - 1), dev_odata_2, dev_odata_1); +#else + kern_ComputeExclusiveScanIteration <<< numBlocks, blockSize >>> (n, pow(2, d - 1), dev_odata_2, dev_odata_1); +#endif + cudaDeviceSynchronize(); + int* temp = dev_odata_1; + dev_odata_1 = dev_odata_2; + dev_odata_2 = temp; + } + +#ifdef inclusiveToExclusive + kern_InclusiveToExclusiveScan <<< numBlocks, blockSize >>> (n, dev_odata_2, dev_odata_1); + cudaDeviceSynchronize(); +#endif timer().endGpuTimer(); + + cudaMemcpy(odata, dev_odata_1, sizeof(int) * n, cudaMemcpyDeviceToHost); + cudaDeviceSynchronize(); + + cudaFree(dev_odata_1); + cudaFree(dev_odata_2); + cudaDeviceSynchronize(); } } } diff --git a/stream_compaction/thrust.cu b/stream_compaction/thrust.cu index 1def45e..2f5d8a5 100644 --- a/stream_compaction/thrust.cu +++ b/stream_compaction/thrust.cu @@ -18,11 +18,16 @@ namespace StreamCompaction { * Performs prefix-sum (aka scan) on idata, storing the result into odata. */ void scan(int n, int *odata, const int *idata) { + thrust::device_vector thrust_dv_idata(idata, idata + n); + thrust::device_vector thrust_dv_odata(odata, odata + n); + 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(thrust_dv_idata.begin(), thrust_dv_idata.end(), thrust_dv_odata.begin()); + timer().endGpuTimer(); + + cudaMemcpy(odata, (thrust_dv_odata.data()).get(), sizeof(int) * n, cudaMemcpyDeviceToHost); } } } From e42c881217712772b48bcf414331bffdceff8f4f Mon Sep 17 00:00:00 2001 From: Nick Moon Date: Sun, 18 Sep 2022 16:54:15 -0400 Subject: [PATCH 02/11] update readme results to be snippet instead of images --- README.md | 87 +++++++++++++++++++++++++++++++++++++++------------- src/main.cpp | 10 +++--- 2 files changed, 71 insertions(+), 26 deletions(-) diff --git a/README.md b/README.md index fdd9b4f..536130d 100644 --- a/README.md +++ b/README.md @@ -12,27 +12,72 @@ compacting arrays with millions of elements in parallel on the GPU.** ### Results -#### Array Scan - -![](images/results/scan_25.PNG) -*Figure 1: Array Scan test results with input array size = 2^25 (33554432).* - -![](images/results/scan_20.PNG) -*Figure 2: Array Scan test results with input array size = 2^20 (1048576).* - -![](images/results/scan_15.PNG) -*Figure 3: Array Scan test results with input array size = 2^15 (32768).* - -#### Stream Compaction - -![](images/results/scan_25.PNG) -*Figure 1: Array Scan test results with input array size = 2^25 (33554432).* - -![](images/results/scan_20.PNG) -*Figure 2: Array Scan test results with input array size = 2^20 (1048576).* - -![](images/results/scan_15.PNG) -*Figure 3: Array Scan test results with input array size = 2^15 (32768).* +*Testbench functional and performance results for scan and stream compaction on input array size of 2^25 (33554432):* +``` +number of elements in input array for power of 2 tests = 33554432 +number of elements in input array for non-power of 2 tests = 33554429 + +**************** +** SCAN TESTS ** +**************** + [ 34 41 19 15 6 8 5 37 47 15 4 40 20 ... 44 16 0 ] +==== cpu scan, power-of-two ==== + elapsed time: 19.1805ms (std::chrono Measured) + [ 0 34 75 94 109 115 123 128 165 212 227 231 271 ... 821815873 821815917 821815933 ] +==== cpu scan, non-power-of-two ==== + elapsed time: 19.9557ms (std::chrono Measured) + [ 0 34 75 94 109 115 123 128 165 212 227 231 271 ... 821815825 821815842 821815853 ] + passed +==== naive scan, power-of-two ==== + elapsed time: 29.1328ms (CUDA Measured) + [ 0 34 75 94 109 115 123 128 165 212 227 231 271 ... 821815873 821815917 821815933 ] + passed +==== naive scan, non-power-of-two ==== + elapsed time: 29.0673ms (CUDA Measured) + [ 0 34 75 94 109 115 123 128 165 212 227 231 271 ... 821815825 821815842 821815853 ] + passed +==== work-efficient scan, power-of-two ==== + elapsed time: 24.446ms (CUDA Measured) + [ 0 34 75 94 109 115 123 128 165 212 227 231 271 ... 821815873 821815917 821815933 ] + passed +==== work-efficient scan, non-power-of-two ==== + elapsed time: 21.2756ms (CUDA Measured) + [ 0 34 75 94 109 115 123 128 165 212 227 231 271 ... 821815825 821815842 821815853 ] + passed +==== thrust scan, power-of-two ==== + elapsed time: 1.16003ms (CUDA Measured) + [ 0 34 75 94 109 115 123 128 165 212 227 231 271 ... 821815873 821815917 821815933 ] + passed +==== thrust scan, non-power-of-two ==== + elapsed time: 1.17952ms (CUDA Measured) + [ 0 34 75 94 109 115 123 128 165 212 227 231 271 ... 821815825 821815842 821815853 ] + passed + +***************************** +** STREAM COMPACTION TESTS ** +***************************** + [ 2 3 3 0 0 1 1 0 3 1 0 1 1 ... 2 0 0 ] +==== cpu compact without scan, power-of-two ==== + elapsed time: 51.9551ms (std::chrono Measured) + [ 2 3 3 1 1 3 1 1 1 3 2 2 2 ... 2 3 2 ] + passed +==== cpu compact without scan, non-power-of-two ==== + elapsed time: 51.9623ms (std::chrono Measured) + [ 2 3 3 1 1 3 1 1 1 3 2 2 2 ... 3 2 3 ] + passed +==== cpu compact with scan ==== + elapsed time: 103.018ms (std::chrono Measured) + [ 2 3 3 1 1 3 1 1 1 3 2 2 2 ... 2 3 2 ] + passed +==== work-efficient compact, power-of-two ==== + elapsed time: 25.3891ms (CUDA Measured) + [ 2 3 3 1 1 3 1 1 1 3 2 2 2 ... 2 3 2 ] + passed +==== work-efficient compact, non-power-of-two ==== + elapsed time: 25.2508ms (CUDA Measured) + [ 2 3 3 1 1 3 1 1 1 3 2 2 2 ... 3 2 3 ] + passed +``` ## Implementaion diff --git a/src/main.cpp b/src/main.cpp index 00238e5..9bb5125 100644 --- a/src/main.cpp +++ b/src/main.cpp @@ -25,7 +25,7 @@ int main(int argc, char* argv[]) { std::cout << "number of elements in input array for power of 2 tests = " << SIZE << std::endl; std::cout << "number of elements in input array for non-power of 2 tests = " << NPOT << std::endl; - /*printf("\n"); + printf("\n"); printf("****************\n"); printf("** SCAN TESTS **\n"); printf("****************\n"); @@ -61,7 +61,7 @@ int main(int argc, char* argv[]) { onesArray(SIZE, c); printDesc("1s array for finding bugs"); StreamCompaction::Naive::scan(SIZE, c, a); - printArray(SIZE, c, true); + printArray(SIZE, c, true); */ zeroArray(SIZE, c); printDesc("naive scan, non-power-of-two"); @@ -84,7 +84,7 @@ int main(int argc, char* argv[]) { printArray(NPOT, c, true); printCmpResult(NPOT, b, c); - zeroArray(SIZE, c); + /*zeroArray(SIZE, c); printDesc("work-efficient optimized scan, power-of-two"); StreamCompaction::Efficient::scan_optimized(SIZE, c, a); printElapsedTime(StreamCompaction::Efficient::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); @@ -110,7 +110,7 @@ int main(int argc, char* argv[]) { StreamCompaction::Efficient::scan_sharedMem(NPOT, c, a); printElapsedTime(StreamCompaction::Efficient::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); //printArray(NPOT, c, true); - printCmpResult(NPOT, b, c); + printCmpResult(NPOT, b, c);*/ zeroArray(SIZE, c); printDesc("thrust scan, power-of-two"); @@ -125,7 +125,7 @@ int main(int argc, char* argv[]) { printElapsedTime(StreamCompaction::Thrust::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); printArray(NPOT, c, true); printCmpResult(NPOT, b, c); - */ + printf("\n"); printf("*****************************\n"); printf("** STREAM COMPACTION TESTS **\n"); From a42fd6ff115fd14f6f1897272e43768e0d9d9976 Mon Sep 17 00:00:00 2001 From: Nick Moon Date: Sun, 18 Sep 2022 17:41:48 -0400 Subject: [PATCH 03/11] update readme with more descriptions --- README.md | 22 ++++++++++++++++------ 1 file changed, 16 insertions(+), 6 deletions(-) diff --git a/README.md b/README.md index 536130d..6879890 100644 --- a/README.md +++ b/README.md @@ -80,11 +80,17 @@ number of elements in input array for non-power of 2 tests = 33554429 ``` -## Implementaion +## Implementation ### Array Scan -The array scan algorithm +The array scan algorithm is an algorithm that, given an input array of ints ```idata``` of size n, +will output an an array ```odata``` with size also n, where the value at each +index ```i``` in ```odata``` is the sum of all previous ```i-1``` elements from ```idata```. +Exclusive scan is the version implemented in this repository, as opposed to Inclusive. This means +setting ```odata[0] = 0``` and each element in ```odata``` not including the addition of +its correpsonding value in ```idata``` when computing the value. Below each of the different +implementations of the exclusive scan algorithm are talked in more detail. #### CPU Implementation @@ -183,14 +189,18 @@ for the output data is then transferred back to the host array. ### Stream Compaction +Stream compaction is an array algorithm that, given an input array of ints ```idata``` of size ```n```, +returns an output array ```odata``` of some size ```[0,n]``` such that ```odata``` contains only the +values ```x``` in ```idata``` that satisfy some criteria function ```f(x)```. This is essentially +used to compact an array into a smaller size by getting rid of unneeded elements as determined by +the criteria function ```f(x)```. Values for which ```f(x)``` return ```true``` are kept, while +values for which ```f(x)``` return false are removed. + #### CPU Implementation #### Extra Credit -I also implemented the extra credit to optimize and parameterize the grid-based looping to handle arbitrary -subgrid lengths. This involved calculating the number of cells needed to be checked in the x,y,z directions of the cell -grid, and then using these values to offset the grid cell indices from the current boid grid cell index. This feature -is how I generated Figure 7. +###### Not implemented :( ## Testing Strategy From 82650566e3f9796d37738b48ad9b77585ee43c83 Mon Sep 17 00:00:00 2001 From: Nick Moon Date: Sun, 18 Sep 2022 19:22:55 -0400 Subject: [PATCH 04/11] update readme with more descriptions --- README.md | 106 ++++++++++++++++++++++++++++++++++++++++++--------- src/main.cpp | 2 +- 2 files changed, 89 insertions(+), 19 deletions(-) diff --git a/README.md b/README.md index 6879890..e7b01b1 100644 --- a/README.md +++ b/README.md @@ -94,7 +94,7 @@ implementations of the exclusive scan algorithm are talked in more detail. #### CPU Implementation -The CPU implementation implements the array scan algorithm in a serial format, according to the pseudocode +The CPU implementation implements the array scan algorithm in a serial format, according to the pseudocode: ``` function scan_cpu(input_array, output_array, number_of_elements): @@ -196,7 +196,50 @@ used to compact an array into a smaller size by getting rid of unneeded elements the criteria function ```f(x)```. Values for which ```f(x)``` return ```true``` are kept, while values for which ```f(x)``` return false are removed. -#### CPU Implementation +#### CPU Implementation (without scan) + +The CPU implementation (without scan) implements the stream compaction algorithm in a serial format, +according to the pseudocode: + +``` +function stream_compact_cpu_no_scan(input_array, output_array, number_of_elements): + + let num_compacted_elements = 0 + for i in range [0, number_of_elements): + if input_array[i] != 0 then: + output_array[num_compacted_elements] = input_array[i] + num_compacted_elements = num_compacted_elements + 1 + + return num_elements + +end +``` + +This method keeps a rolling index while looping through the input array that keeps track of what index +into the output array to write to, only writing to that index when a value in the input array +satisfies the condition function, which in this case is ```x != 0```. + +#### CPU Implementation (with scan) + +The CPU implementation (with scan) implements the stream compaction algorithm in a "pseudo"-parallel format, +meaning that the structure of the algorithm mimics what will be used for the CUDA implementation, +but still operates on the array serially. This involves a (serial) pass to check for each element in +the input array that is not 0, running a (serial) scan on this data, and then running a (serial) scatter +on the scan result to build the final output array. The psuedocode is below: + +``` +function stream_compact_cpu_scan(input_array, output_array, number_of_elements): + + let num_compacted_elements = 0 + for i in range [0, number_of_elements): + if input_array[i] != 0 then: + output_array[num_compacted_elements] = input_array[i] + num_compacted_elements = num_compacted_elements + 1 + + return num_elements + +end +``` #### Extra Credit @@ -207,18 +250,57 @@ values for which ```f(x)``` return false are removed. The first step in the testing strategy was to figure out the optimal block size for the different GPU implementations of the scan and stream compaction algorithms. Data from each implementation was collected with a constant input array size of 2^25 (33,554,432) for -powers of two block sizes from 32 to 1024, and the resutls are shown in Figure XXX below. +powers of two block sizes from 32 to 1024, and the results are shown in Figure XXX below. ![](images/figures/graph_blocksize.png) *Figure XXX: Effect of CUDA block size on runtime of scan and stream compaction.* +As seen from the graph, for both exclusive scan and stream compaction, the optimal block size is +around 128-256. Below these values, the runtime shoots up exponentially with decreasing block size, +getting as high as almost 4x worse performance at a block size of 32 compared to 256 for the parallel +stream compaction on an array with a size not a power of 2. +Similarly, the performance also increases with increasing block size past 256, at least for all the +algorithms save the naive scan. This growth appears roughly linear for the other algorithms, +while the runtime stays roughly constant for the naive scan. + ## Performance Analysis +### Scan + As can be seen by Figure XXX below, the runtime of the scan algorithm increases linearly for each of the -different implementations, but the slope of this increase is different for each one. +different implementations, but the slope of this increase is different for each one. + +The thrust version was by far the fastest in most cases and had the smallest slope. +In all test cases, the thrust version maintained a runtime below 3ms. This makes sense, as thrust is +a highly optimized GPU and parallel algorithm library developed for high performance applications. +As to its amazing performance relative the CUDA implementations found in this repository, +that will be discussed further down the readme. + +The next best version was the CPU scan. While this is initially suprising, there are a couple benefits +the CPU version has with respect to the GPU versions. First, the logic is very simple for computing +each element of the output, and the serial nature of the algorithm means it is very cache coherent. +It also requires no additional memory allocation (CPU or GPU), which all the parallel versions require. + +The work-efficient parallel scan is the next best version. This is slower than the CPU and thrust versions, +but faster than the naive parallel version in the long run. The reason this is slower than the + +Finally, the naive parallel scan is the worst version. For 33 million array size, this algorithm +is 50% worse than the efficient parallel scan, and 30x slower than the thrust library implementation. +This is mostly due to a couple factors. First, the naive parallel algorithm never decreases the amount +of threads (number of blocks) launched for the kernels, which means at the final iteration, there are +millions of threads (for the final data point) being launched, and only half of them are actually doing +work. Another problem is that the number of active threads for each iteration is only being decreased +by a number that doubles each time. This means that, compared with the efficient version that halves +the number of active threads each iteration, the naive approach will only decrease the number by a +power of two. A final problem with this approach is that it requires double buffering, meaning +at least double the memory of the efficient version, along with the memory latency that comes with +that much additional memory usage. + ![](images/figures/graph_scan.png) -*Figure 5: Effect of input array size on runtiem of scan algorithm.* +*Figure XXX: Effect of input array size on runtime of scan algorithm.* + +### Stream Compaction Likewise, Figure XXX below shows the runtime of the stream compaction algorithm also increases linearly for each of the implementations, and again the slope of this increase is the only thing that changes. @@ -226,19 +308,7 @@ However, unlike with scan, here the GPU stream compaction is significantly faste CPU implementations for arrays with very large amounts of elements (>2000000). ![](images/figures/graph_compact.png) -*Figure 6: Effect of cuda kernel block size on average fps for uniform grid-based simulation* - -As a final point of analysis, Figure 7 below displays the effect of changing the grid cell resolution with respect the -maximum neighbor search distance each boid uses to get nearby boids that influence its velocity. As can be shown, -balancing this ratio is important for improving and maintain efficiency, and the benefits of the grid-based system. -Too low a resolution, such as the first data point on the graph, and the performance is suboptimal as a lot of potentially -empty space is being encompassed by large cells. Too high a resolution, and the benefit of the grid-based system is lost. -There are now so many neighboring cells needed to be checked by a single boid, that even the increased potential -prevalence of empty cells is lost. The graph shows that having a resolution approximately equal to the maximum search distance -is optimal. - -![](images/figures/ratio_vs_fps.png) -*Figure 7: Effect of the ratio of grid cell width to boid neighbor max search distance on average FPS* +*Figure XXX: Effect of cuda kernel block size on average fps for uniform grid-based simulation* ### Bloopers diff --git a/src/main.cpp b/src/main.cpp index 9bb5125..af69cdd 100644 --- a/src/main.cpp +++ b/src/main.cpp @@ -13,7 +13,7 @@ #include #include "testing_helpers.hpp" -const int SIZE = 1 << 25; // feel free to change the size of array +const int SIZE = 1 << 26; // feel free to change the size of array const int NPOT = SIZE - 3; // Non-Power-Of-Two int* a = new int[SIZE]; int* b = new int[SIZE]; From eb1bec41108e35970926d2c50f0c5a616f519e6d Mon Sep 17 00:00:00 2001 From: Nick Moon Date: Sun, 18 Sep 2022 19:39:20 -0400 Subject: [PATCH 05/11] update readme with more descriptions --- README.md | 15 +++++++++++++-- 1 file changed, 13 insertions(+), 2 deletions(-) diff --git a/README.md b/README.md index e7b01b1..3482bec 100644 --- a/README.md +++ b/README.md @@ -247,6 +247,8 @@ end ## Testing Strategy +**All tests and results are done on Release mode in Visual Studio** + The first step in the testing strategy was to figure out the optimal block size for the different GPU implementations of the scan and stream compaction algorithms. Data from each implementation was collected with a constant input array size of 2^25 (33,554,432) for @@ -265,9 +267,11 @@ while the runtime stays roughly constant for the naive scan. ## Performance Analysis +**All tests and results are done on Release mode in Visual Studio** + ### Scan -As can be seen by Figure XXX below, the runtime of the scan algorithm increases linearly for each of the +As can be seen by Figure XXX below, the runtime of the scan algorithm increases roughly linearly for each of the different implementations, but the slope of this increase is different for each one. The thrust version was by far the fastest in most cases and had the smallest slope. @@ -305,7 +309,14 @@ that much additional memory usage. Likewise, Figure XXX below shows the runtime of the stream compaction algorithm also increases linearly for each of the implementations, and again the slope of this increase is the only thing that changes. However, unlike with scan, here the GPU stream compaction is significantly faster than either of the -CPU implementations for arrays with very large amounts of elements (>2000000). +CPU implementations for arrays with very large amounts of elements (>2000000). This is because +the CPU version (without scan), even though it is logically barely more complex than the CPU scan (which +was faster than the GPU scans), has a conditional in the for loop. Because the array the stream +compaction input array has elements which are not related in any way to each other, in the worst +case the array would have alternating elements that are ```0``` and not ```0```, causing the branch +prediction in the CPU to cause large performance penalties with increasing array sizes. By parallelizing +these conditionals, the GPU implementation of stream compaction has much faster runtime for array sizes +in the millions. ![](images/figures/graph_compact.png) *Figure XXX: Effect of cuda kernel block size on average fps for uniform grid-based simulation* From ecb9c6ae01ceaf838d17e9c52970e0727a459a9a Mon Sep 17 00:00:00 2001 From: Nick Moon Date: Sun, 18 Sep 2022 20:10:30 -0400 Subject: [PATCH 06/11] update readme with more descriptions --- README.md | 10 +- images/figures/graph_pow2.png | Bin 0 -> 111486 bytes src/main.cpp | 367 ++++++++++++++++------------------ 3 files changed, 181 insertions(+), 196 deletions(-) create mode 100644 images/figures/graph_pow2.png diff --git a/README.md b/README.md index 3482bec..86473e4 100644 --- a/README.md +++ b/README.md @@ -249,7 +249,7 @@ end **All tests and results are done on Release mode in Visual Studio** -The first step in the testing strategy was to figure out the optimal block size for the +The first step in generating results was to figure out the optimal block size for the different GPU implementations of the scan and stream compaction algorithms. Data from each implementation was collected with a constant input array size of 2^25 (33,554,432) for powers of two block sizes from 32 to 1024, and the results are shown in Figure XXX below. @@ -265,6 +265,14 @@ Similarly, the performance also increases with increasing block size past 256, a algorithms save the naive scan. This growth appears roughly linear for the other algorithms, while the runtime stays roughly constant for the naive scan. +In the **Performance Analysis** section below, all data is from the ***Not Power of 2 Array Size*** tests. +This is because this is the most general test case for analyzing these algorithms, as most often an +array will not fit neatly into the CUDA blocks. Additionally, there is negligable difference in the +runtimes between the power of 2 and non-power of 2 tests. + +![](images/figures/graph_pow2.png) +*Figure XXX: Demonstrating runtime comparison between tests on arrays with power of 2 size and not.* + ## Performance Analysis **All tests and results are done on Release mode in Visual Studio** diff --git a/images/figures/graph_pow2.png b/images/figures/graph_pow2.png new file mode 100644 index 0000000000000000000000000000000000000000..c11ad8f410f830e4579c9928cef32f28d3fb61c1 GIT binary patch literal 111486 zcmeFZc|6qX8$Ya78!917w5#k{vMUwYBaATC?1qMHW2-~5>l~r1l`ss0m>CQv*-mLl zW{eD`2$?ZWjIoUE_nDSc=X}5C`Ss89$Md|tUa!hDpXI)<`&!=D`?~Hs;j*bd&km6t zTwGi{2A3{aaB*#8adB+{Z`%s|PsWx{n}L5e1X}3pav{6LrhpHdJ4&sS z4)5C?*Ut{t*?ZS3H_IgEDTGn$~X^; z*~Y3}v-r=a08d7#qYe@_0pj@bQ=SS-)rWI`|5$uhtMkZ@Z?8PeAKOFS@a@~1ColKR zaAf}V=h;5^WN0kx`$wl8gg{MQt?wV@w@}r@ABlhecz+{HEbTJi_m9T6{`cDNviP5n z|KC)pvtdi)S^oV+Mp;{R=pKJCH+~U&UEVik#XLHqpL!3B4bI>ZRk^qP3CqYFYzXoR 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zOqhPEaT%Pzc=R$m3jA7Ke4Q}bthlXn;*g8`YE6evyxP2Y>$7O3LujvP<>^y3ZgtBU z>`n7qx^;UYIdMBj2^%oA9)Hy>n&xbOKu!W_owrW(W22!;+SjP_N)Sh)`}00SM@8&- zeDNBv6sj~pPg@!C$0$AUbC8X$YM$!|K^6MYf$)*L0_qd=S4J{mj#sn71NcXsYcPf^ zhYQZPA^yd(Uvs&0<0rC%L;uGXDzr zz^s5&zjMz2fD+)#dnM`-#8$w+f8(Iy|NS>v1HkZKApHLx2%+~P{*Q%v;=!eIxaDnD z25h_ #include "testing_helpers.hpp" -const int SIZE = 1 << 26; // 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]; + // feel free to change the size of array + // Non-Power-Of-Two + int main(int argc, char* argv[]) { // Scan tests - - std::cout << "number of elements in input array for power of 2 tests = " << SIZE << std::endl; - std::cout << "number of elements in input array for non-power of 2 tests = " << NPOT << std::endl; - - printf("\n"); - printf("****************\n"); - printf("** SCAN TESTS **\n"); - printf("****************\n"); - - genArray(SIZE - 1, a, 50); // Leave a 0 at the end to test that edge case - a[SIZE - 1] = 0; - printArray(SIZE, a, true); - - // initialize b using StreamCompaction::CPU::scan you implement - // We use b for further comparison. Make sure your StreamCompaction::CPU::scan is correct. - // At first all cases passed because b && c are all zeroes. - zeroArray(SIZE, b); - printDesc("cpu scan, power-of-two"); - StreamCompaction::CPU::scan(SIZE, b, a); - printElapsedTime(StreamCompaction::CPU::timer().getCpuElapsedTimeForPreviousOperation(), "(std::chrono Measured)"); - printArray(SIZE, b, true); - - zeroArray(SIZE, c); - printDesc("cpu scan, non-power-of-two"); - StreamCompaction::CPU::scan(NPOT, c, a); - printElapsedTime(StreamCompaction::CPU::timer().getCpuElapsedTimeForPreviousOperation(), "(std::chrono Measured)"); - printArray(NPOT, b, true); - printCmpResult(NPOT, b, c); - - zeroArray(SIZE, c); - printDesc("naive scan, power-of-two"); - StreamCompaction::Naive::scan(SIZE, c, a); - printElapsedTime(StreamCompaction::Naive::timer().getGpuElapsedTimeForPreviousOperation(), "(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); - printElapsedTime(StreamCompaction::Naive::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); - printArray(NPOT, c, true); - printCmpResult(NPOT, b, c); - - zeroArray(SIZE, c); - printDesc("work-efficient scan, power-of-two"); - StreamCompaction::Efficient::scan(SIZE, c, a); - printElapsedTime(StreamCompaction::Efficient::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); - printArray(SIZE, c, true); - printCmpResult(SIZE, b, c); - - zeroArray(SIZE, c); - printDesc("work-efficient scan, non-power-of-two"); - StreamCompaction::Efficient::scan(NPOT, c, a); - printElapsedTime(StreamCompaction::Efficient::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); - printArray(NPOT, c, true); - printCmpResult(NPOT, b, c); - - /*zeroArray(SIZE, c); - printDesc("work-efficient optimized scan, power-of-two"); - StreamCompaction::Efficient::scan_optimized(SIZE, c, a); - printElapsedTime(StreamCompaction::Efficient::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); - //printArray(SIZE, c, true); - printCmpResult(SIZE, b, c); - - zeroArray(SIZE, c); - printDesc("work-efficient optimized scan, non-power-of-two"); - StreamCompaction::Efficient::scan_optimized(NPOT, c, a); - printElapsedTime(StreamCompaction::Efficient::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); - //printArray(NPOT, c, true); - printCmpResult(NPOT, b, c); - - zeroArray(SIZE, c); - printDesc("work-efficient shared memory scan, power-of-two"); - StreamCompaction::Efficient::scan_sharedMem(SIZE, c, a); - printElapsedTime(StreamCompaction::Efficient::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); - //printArray(SIZE, c, true); - printCmpResult(SIZE, b, c); - - zeroArray(SIZE, c); - printDesc("work-efficient shared memory scan, non-power-of-two"); - StreamCompaction::Efficient::scan_sharedMem(NPOT, c, a); - printElapsedTime(StreamCompaction::Efficient::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); - //printArray(NPOT, c, true); - printCmpResult(NPOT, 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); - - printf("\n"); - printf("*****************************\n"); - printf("** STREAM COMPACTION TESTS **\n"); - printf("*****************************\n"); - - // Compaction tests - - genArray(SIZE - 1, a, 4); // Leave a 0 at the end to test that edge case - a[SIZE - 1] = 0; - printArray(SIZE, a, true); - - int count, expectedCount, expectedNPOT; - - // initialize b using StreamCompaction::CPU::compactWithoutScan you implement - // We use b for further comparison. Make sure your StreamCompaction::CPU::compactWithoutScan is correct. - 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)"); - expectedCount = count; - printArray(count, b, true); - printCmpLenResult(count, expectedCount, b, b); - - zeroArray(SIZE, c); - printDesc("cpu compact without scan, non-power-of-two"); - count = StreamCompaction::CPU::compactWithoutScan(NPOT, c, a); - printElapsedTime(StreamCompaction::CPU::timer().getCpuElapsedTimeForPreviousOperation(), "(std::chrono Measured)"); - expectedNPOT = count; - printArray(count, c, true); - printCmpLenResult(count, expectedNPOT, b, c); - - zeroArray(SIZE, c); - printDesc("cpu compact with scan"); - count = StreamCompaction::CPU::compactWithScan(SIZE, c, a); - printElapsedTime(StreamCompaction::CPU::timer().getCpuElapsedTimeForPreviousOperation(), "(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)"); - 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); - printCmpLenResult(count, expectedNPOT, b, c); - - /* - - printf("\n"); - printf("*****************************\n"); - printf("** RADIX SORT TESTS **\n"); - printf("*****************************\n"); - - genArray(SIZE - 1, a, 100); // Leave a 0 at the end to test that edge case - a[SIZE - 1] = 0; - printArray(SIZE, a, true); - - zeroArray(SIZE, b); - printDesc("cpu std::stable_sort, power-of-two"); - StreamCompaction::CPU::stdSort(SIZE, b, a); - printElapsedTime(StreamCompaction::CPU::timer().getCpuElapsedTimeForPreviousOperation(), "(std::chrono Measured)"); - printArray(SIZE, b, true); - - zeroArray(SIZE, c); - printDesc("cpu radix sort, power-of-two"); - StreamCompaction::CPU::radixSort(SIZE, c, a); - printElapsedTime(StreamCompaction::CPU::timer().getCpuElapsedTimeForPreviousOperation(), "(std::chrono Measured)"); - //printArray(SIZE, c, true); - printCmpResult(SIZE, b, c); - - zeroArray(SIZE, c); - printDesc("gpu radix sort, power-of-two"); - StreamCompaction::Efficient::radixSort(SIZE, c, a); - printElapsedTime(StreamCompaction::Efficient::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); - //printArray(SIZE, c, true); - printCmpResult(SIZE, b, c);*/ + int test_start = 13; + int num_tests = 14; + + float* cpu_scan_pow2 = new float[num_tests]; + float* cpu_scan_non_pow2 = new float[num_tests]; + float* naive_scan_pow2 = new float[num_tests]; + float* naive_scan_non_pow2 = new float[num_tests]; + float* efficient_scan_pow2 = new float[num_tests]; + float* efficient_scan_non_pow2 = new float[num_tests]; + float* thrust_scan_pow2 = new float[num_tests]; + float* thrust_scan_non_pow2 = new float[num_tests]; + + float* cpu_compact_pow2_no_scan = new float[num_tests]; + float* cpu_compact_non_pow2_no_scan = new float[num_tests]; + float* cpu_compact_pow2_scan = new float[num_tests]; + float* efficient_compact_pow2 = new float[num_tests]; + float* efficient_compact_non_pow2 = new float[num_tests]; + + for (int i = test_start; i < test_start + num_tests; ++i) { + int SIZE = 1 << i; + int NPOT = SIZE - 3; + int* a = new int[SIZE]; + int* b = new int[SIZE]; + int* c = new int[SIZE]; + genArray(SIZE - 1, a, 50); // Leave a 0 at the end to test that edge case + a[SIZE - 1] = 0; + printArray(SIZE, a, true); + + // initialize b using StreamCompaction::CPU::scan you implement + // We use b for further comparison. Make sure your StreamCompaction::CPU::scan is correct. + // At first all cases passed because b && c are all zeroes. + zeroArray(SIZE, b); + StreamCompaction::CPU::scan(SIZE, b, a); + cpu_scan_pow2[i - test_start] = StreamCompaction::CPU::timer().getCpuElapsedTimeForPreviousOperation(); + + zeroArray(SIZE, c); + StreamCompaction::CPU::scan(NPOT, c, a); + cpu_scan_non_pow2[i - test_start] = StreamCompaction::CPU::timer().getCpuElapsedTimeForPreviousOperation(); + + zeroArray(SIZE, c); + StreamCompaction::Naive::scan(SIZE, c, a); + naive_scan_pow2[i - test_start] = StreamCompaction::Naive::timer().getGpuElapsedTimeForPreviousOperation(); + + zeroArray(SIZE, c); + StreamCompaction::Naive::scan(NPOT, c, a); + naive_scan_non_pow2[i - test_start] = StreamCompaction::Naive::timer().getGpuElapsedTimeForPreviousOperation(); + + zeroArray(SIZE, c); + StreamCompaction::Efficient::scan(SIZE, c, a); + efficient_scan_pow2[i - test_start] = StreamCompaction::Efficient::timer().getGpuElapsedTimeForPreviousOperation(); + //printArray(SIZE, c, true); + //printCmpResult(SIZE, b, c); + + zeroArray(SIZE, c); + StreamCompaction::Efficient::scan(NPOT, c, a); + efficient_scan_non_pow2[i - test_start] = StreamCompaction::Efficient::timer().getGpuElapsedTimeForPreviousOperation(); + + zeroArray(SIZE, c); + StreamCompaction::Thrust::scan(SIZE, c, a); + thrust_scan_pow2[i - test_start] = StreamCompaction::Thrust::timer().getGpuElapsedTimeForPreviousOperation(); + + zeroArray(SIZE, c); + StreamCompaction::Thrust::scan(NPOT, c, a); + thrust_scan_non_pow2[i - test_start] = StreamCompaction::Thrust::timer().getGpuElapsedTimeForPreviousOperation(); + + // Compaction tests + + genArray(SIZE - 1, a, 4); // Leave a 0 at the end to test that edge case + a[SIZE - 1] = 0; + + int count, expectedCount, expectedNPOT; + + // initialize b using StreamCompaction::CPU::compactWithoutScan you implement + // We use b for further comparison. Make sure your StreamCompaction::CPU::compactWithoutScan is correct. + zeroArray(SIZE, b); + count = StreamCompaction::CPU::compactWithoutScan(SIZE, b, a); + cpu_compact_pow2_no_scan[i - test_start] = StreamCompaction::CPU::timer().getCpuElapsedTimeForPreviousOperation(); + expectedCount = count; + + zeroArray(SIZE, c); + count = StreamCompaction::CPU::compactWithoutScan(NPOT, c, a); + cpu_compact_non_pow2_no_scan[i - test_start] = StreamCompaction::CPU::timer().getCpuElapsedTimeForPreviousOperation(); + //printArray(count, c, true); + expectedNPOT = count; + + zeroArray(SIZE, c); + count = StreamCompaction::CPU::compactWithScan(NPOT, c, a); + cpu_compact_pow2_scan[i - test_start] = StreamCompaction::CPU::timer().getCpuElapsedTimeForPreviousOperation(); + //printArray(count, c, true); + //printCmpLenResult(count, expectedNPOT, b, c); + + zeroArray(SIZE, c); + count = StreamCompaction::Efficient::compact(SIZE, c, a); + efficient_compact_pow2[i - test_start] = StreamCompaction::Efficient::timer().getGpuElapsedTimeForPreviousOperation(); + + zeroArray(SIZE, c); + count = StreamCompaction::Efficient::compact(NPOT, c, a); + efficient_compact_non_pow2[i - test_start] = StreamCompaction::Efficient::timer().getGpuElapsedTimeForPreviousOperation(); + + + delete[] a; + delete[] b; + delete[] c; + } + + std::cout << "cpu scan pow2" << std::endl; + for (int i = 0; i < num_tests; ++i) { + std::cout << cpu_scan_pow2[i] << std::endl; + } + + std::cout << "cpu scan non pow2" << std::endl; + for (int i = 0; i < num_tests; ++i) { + std::cout << cpu_scan_non_pow2[i] << std::endl; + } + + std::cout << "thrust scan pow2" << std::endl; + for (int i = 0; i < num_tests; ++i) { + std::cout << thrust_scan_pow2[i] << std::endl; + } + + std::cout << "thrust scan non pow2" << std::endl; + for (int i = 0; i < num_tests; ++i) { + std::cout << thrust_scan_non_pow2[i] << std::endl; + } + + std::cout << "naive scan pow2" << std::endl; + for (int i = 0; i < num_tests; ++i) { + std::cout << naive_scan_pow2[i] << std::endl; + } + + std::cout << "naive scan non pow2" << std::endl; + for (int i = 0; i < num_tests; ++i) { + std::cout << naive_scan_non_pow2[i] << std::endl; + } + + std::cout << "efficient scan pow2" << std::endl; + for (int i = 0; i < num_tests; ++i) { + std::cout << efficient_scan_pow2[i] << std::endl; + } + + std::cout << "efficient scan non pow2" << std::endl; + for (int i = 0; i < num_tests; ++i) { + std::cout << efficient_scan_non_pow2[i] << std::endl; + } + + std::cout << "cpu compact pow2 no scan" << std::endl; + for (int i = 0; i < num_tests; ++i) { + std::cout << cpu_compact_pow2_no_scan[i] << std::endl; + } + + std::cout << "cpu compact non pow2 no scan" << std::endl; + for (int i = 0; i < num_tests; ++i) { + std::cout << cpu_compact_non_pow2_no_scan[i] << std::endl; + } + + std::cout << "cpu compact pow2 scan" << std::endl; + for (int i = 0; i < num_tests; ++i) { + std::cout << cpu_compact_pow2_scan[i] << std::endl; + } + + std::cout << "efficient compact pow2" << std::endl; + for (int i = 0; i < num_tests; ++i) { + std::cout << efficient_compact_pow2[i] << std::endl; + } + + std::cout << "efficient compact non pow2" << std::endl; + for (int i = 0; i < num_tests; ++i) { + std::cout << efficient_compact_non_pow2[i] << std::endl; + } system("pause"); // stop Win32 console from closing on exit - delete[] a; - delete[] b; - delete[] c; } From 2a7d2ac13359a48228320a5ac04de32c95be10af Mon Sep 17 00:00:00 2001 From: Nick Moon Date: Sun, 18 Sep 2022 21:30:23 -0400 Subject: [PATCH 07/11] update readme with more descriptions --- README.md | 30 +- images/figures/graph_compact.png | Bin 98630 -> 160866 bytes images/figures/graph_scan.png | Bin 102210 -> 138794 bytes .../results/thrust_nsight_timeline_memcpy.PNG | Bin 0 -> 39753 bytes .../thrust_nsight_timeline_streamsync.PNG | Bin 0 -> 36923 bytes src/main.cpp | 367 ++++++++++-------- 6 files changed, 222 insertions(+), 175 deletions(-) create mode 100644 images/results/thrust_nsight_timeline_memcpy.PNG create mode 100644 images/results/thrust_nsight_timeline_streamsync.PNG diff --git a/README.md b/README.md index 86473e4..d0eff15 100644 --- a/README.md +++ b/README.md @@ -268,7 +268,7 @@ while the runtime stays roughly constant for the naive scan. In the **Performance Analysis** section below, all data is from the ***Not Power of 2 Array Size*** tests. This is because this is the most general test case for analyzing these algorithms, as most often an array will not fit neatly into the CUDA blocks. Additionally, there is negligable difference in the -runtimes between the power of 2 and non-power of 2 tests. +runtimes between the power of 2 and non-power of 2 tests. This can be seen in Figure XXX below: ![](images/figures/graph_pow2.png) *Figure XXX: Demonstrating runtime comparison between tests on arrays with power of 2 size and not.* @@ -294,7 +294,14 @@ each element of the output, and the serial nature of the algorithm means it is v It also requires no additional memory allocation (CPU or GPU), which all the parallel versions require. The work-efficient parallel scan is the next best version. This is slower than the CPU and thrust versions, -but faster than the naive parallel version in the long run. The reason this is slower than the +but faster than the naive parallel version in the long run. The reason this is slower than the CPU +version is, first of all, because it is just using global memory. This is the GPU memory with the highest +latency, and, especially when compared with the CPU version's cache coherency, is a huge bottleneck +on the algorithm. Another problem is that the number of threads remains constant each iteration of the +algorithm. This means that, during both the up sweep and down sweep, there are potentially millions of +threads allocated for a process (i.e. one of the last data points on the graph), while only 1 or a few +are actually active at a time. A more optimized version of the algorithm would allocate only the +threads that are needed. Finally, the naive parallel scan is the worst version. For 33 million array size, this algorithm is 50% worse than the efficient parallel scan, and 30x slower than the thrust library implementation. @@ -308,10 +315,27 @@ power of two. A final problem with this approach is that it requires double buff at least double the memory of the efficient version, along with the memory latency that comes with that much additional memory usage. - ![](images/figures/graph_scan.png) *Figure XXX: Effect of input array size on runtime of scan algorithm.* +##### Thrust NSight Analysis + +Taking a little deeper look into the Thrust version of Exclusive Scan, the NSight profiling timeline +reveals that it consists of at least 1 ```cudaEventCreate``` API call, as well as 3 ```cudaMemcpyAsync``` +calls. Two of these ```cudaMemcpyAsync``` calls are performed as part of the casting the input and output +arrays from C style arrays to Thrust ```device_vector```, and the third is from retrieving the output +data from the output ```device_vector``` and placing it into the output C style array. In between +the first two ```cudaMemcpyAsync``` calls and the third, are ```cudaMalloc```, +```cudaStreamSynchronize```, and ```cudaFree``` function calls. This is where the actual implementation +of the Thrust Exclusive Scan function is, where it allocates device memory, operates on the data, and then +frees it at the end. + +![](images/results/thrust_nsight_timeline_memcpy.png) +*Figure XXX: NSight Timeline of Thrust Exclusive Scan operation highlighting cudaMemcpyAsync.* + +![](images/results/thrust_nsight_timeline_streamsync.png) +*Figure XXX: NSight Timeline of Thrust Exclusive Scan operation highlighting cudaStreamSynchronize.* + ### Stream Compaction Likewise, Figure XXX below shows the runtime of the stream compaction algorithm also increases linearly diff --git a/images/figures/graph_compact.png b/images/figures/graph_compact.png index d93597d9bf4359f3fc52aaef4473d5742ba1a93c..e9d22c869f6e81f5b7bdf36c04dc0b4b590d6e95 100644 GIT binary patch literal 160866 zcmeFad011|)(1>`YkRe~+SX##DtS8~3L=W40zz5`s30Iim?5oz3K0-OK!QnZtL3Ul z6a*9u6eB|jNn{8i!6eox0zw2bNJ5Cp5J(6S$N&jRz7rhU?|yyX-haR6G0y|>V6xBN zYp?ZNYp?xV`2`(4P1*a_nn 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4a7b600..76999d2 100644 --- a/src/main.cpp +++ b/src/main.cpp @@ -13,181 +13,204 @@ #include #include "testing_helpers.hpp" - // feel free to change the size of array - // Non-Power-Of-Two - +const int SIZE = 1 << 26; // 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 main(int argc, char* argv[]) { // Scan tests - int test_start = 13; - int num_tests = 14; - - float* cpu_scan_pow2 = new float[num_tests]; - float* cpu_scan_non_pow2 = new float[num_tests]; - float* naive_scan_pow2 = new float[num_tests]; - float* naive_scan_non_pow2 = new float[num_tests]; - float* efficient_scan_pow2 = new float[num_tests]; - float* efficient_scan_non_pow2 = new float[num_tests]; - float* thrust_scan_pow2 = new float[num_tests]; - float* thrust_scan_non_pow2 = new float[num_tests]; - - float* cpu_compact_pow2_no_scan = new float[num_tests]; - float* cpu_compact_non_pow2_no_scan = new float[num_tests]; - float* cpu_compact_pow2_scan = new float[num_tests]; - float* efficient_compact_pow2 = new float[num_tests]; - float* efficient_compact_non_pow2 = new float[num_tests]; - - for (int i = test_start; i < test_start + num_tests; ++i) { - int SIZE = 1 << i; - int NPOT = SIZE - 3; - int* a = new int[SIZE]; - int* b = new int[SIZE]; - int* c = new int[SIZE]; - genArray(SIZE - 1, a, 50); // Leave a 0 at the end to test that edge case - a[SIZE - 1] = 0; - printArray(SIZE, a, true); - - // initialize b using StreamCompaction::CPU::scan you implement - // We use b for further comparison. Make sure your StreamCompaction::CPU::scan is correct. - // At first all cases passed because b && c are all zeroes. - zeroArray(SIZE, b); - StreamCompaction::CPU::scan(SIZE, b, a); - cpu_scan_pow2[i - test_start] = StreamCompaction::CPU::timer().getCpuElapsedTimeForPreviousOperation(); - - zeroArray(SIZE, c); - StreamCompaction::CPU::scan(NPOT, c, a); - cpu_scan_non_pow2[i - test_start] = StreamCompaction::CPU::timer().getCpuElapsedTimeForPreviousOperation(); - - zeroArray(SIZE, c); - StreamCompaction::Naive::scan(SIZE, c, a); - naive_scan_pow2[i - test_start] = StreamCompaction::Naive::timer().getGpuElapsedTimeForPreviousOperation(); - - zeroArray(SIZE, c); - StreamCompaction::Naive::scan(NPOT, c, a); - naive_scan_non_pow2[i - test_start] = StreamCompaction::Naive::timer().getGpuElapsedTimeForPreviousOperation(); - - zeroArray(SIZE, c); - StreamCompaction::Efficient::scan(SIZE, c, a); - efficient_scan_pow2[i - test_start] = StreamCompaction::Efficient::timer().getGpuElapsedTimeForPreviousOperation(); - //printArray(SIZE, c, true); - //printCmpResult(SIZE, b, c); - - zeroArray(SIZE, c); - StreamCompaction::Efficient::scan(NPOT, c, a); - efficient_scan_non_pow2[i - test_start] = StreamCompaction::Efficient::timer().getGpuElapsedTimeForPreviousOperation(); - - zeroArray(SIZE, c); - StreamCompaction::Thrust::scan(SIZE, c, a); - thrust_scan_pow2[i - test_start] = StreamCompaction::Thrust::timer().getGpuElapsedTimeForPreviousOperation(); - - zeroArray(SIZE, c); - StreamCompaction::Thrust::scan(NPOT, c, a); - thrust_scan_non_pow2[i - test_start] = StreamCompaction::Thrust::timer().getGpuElapsedTimeForPreviousOperation(); - - // Compaction tests - - genArray(SIZE - 1, a, 4); // Leave a 0 at the end to test that edge case - a[SIZE - 1] = 0; - - int count, expectedCount, expectedNPOT; - - // initialize b using StreamCompaction::CPU::compactWithoutScan you implement - // We use b for further comparison. Make sure your StreamCompaction::CPU::compactWithoutScan is correct. - zeroArray(SIZE, b); - count = StreamCompaction::CPU::compactWithoutScan(SIZE, b, a); - cpu_compact_pow2_no_scan[i - test_start] = StreamCompaction::CPU::timer().getCpuElapsedTimeForPreviousOperation(); - expectedCount = count; - - zeroArray(SIZE, c); - count = StreamCompaction::CPU::compactWithoutScan(NPOT, c, a); - cpu_compact_non_pow2_no_scan[i - test_start] = StreamCompaction::CPU::timer().getCpuElapsedTimeForPreviousOperation(); - //printArray(count, c, true); - expectedNPOT = count; - - zeroArray(SIZE, c); - count = StreamCompaction::CPU::compactWithScan(NPOT, c, a); - cpu_compact_pow2_scan[i - test_start] = StreamCompaction::CPU::timer().getCpuElapsedTimeForPreviousOperation(); - //printArray(count, c, true); - //printCmpLenResult(count, expectedNPOT, b, c); - - zeroArray(SIZE, c); - count = StreamCompaction::Efficient::compact(SIZE, c, a); - efficient_compact_pow2[i - test_start] = StreamCompaction::Efficient::timer().getGpuElapsedTimeForPreviousOperation(); - - zeroArray(SIZE, c); - count = StreamCompaction::Efficient::compact(NPOT, c, a); - efficient_compact_non_pow2[i - test_start] = StreamCompaction::Efficient::timer().getGpuElapsedTimeForPreviousOperation(); - - - delete[] a; - delete[] b; - delete[] c; - } - - std::cout << "cpu scan pow2" << std::endl; - for (int i = 0; i < num_tests; ++i) { - std::cout << cpu_scan_pow2[i] << std::endl; - } - - std::cout << "cpu scan non pow2" << std::endl; - for (int i = 0; i < num_tests; ++i) { - std::cout << cpu_scan_non_pow2[i] << std::endl; - } - - std::cout << "thrust scan pow2" << std::endl; - for (int i = 0; i < num_tests; ++i) { - std::cout << thrust_scan_pow2[i] << std::endl; - } - - std::cout << "thrust scan non pow2" << std::endl; - for (int i = 0; i < num_tests; ++i) { - std::cout << thrust_scan_non_pow2[i] << std::endl; - } - - std::cout << "naive scan pow2" << std::endl; - for (int i = 0; i < num_tests; ++i) { - std::cout << naive_scan_pow2[i] << std::endl; - } - - std::cout << "naive scan non pow2" << std::endl; - for (int i = 0; i < num_tests; ++i) { - std::cout << naive_scan_non_pow2[i] << std::endl; - } - - std::cout << "efficient scan pow2" << std::endl; - for (int i = 0; i < num_tests; ++i) { - std::cout << efficient_scan_pow2[i] << std::endl; - } - - std::cout << "efficient scan non pow2" << std::endl; - for (int i = 0; i < num_tests; ++i) { - std::cout << efficient_scan_non_pow2[i] << std::endl; - } - - std::cout << "cpu compact pow2 no scan" << std::endl; - for (int i = 0; i < num_tests; ++i) { - std::cout << cpu_compact_pow2_no_scan[i] << std::endl; - } - - std::cout << "cpu compact non pow2 no scan" << std::endl; - for (int i = 0; i < num_tests; ++i) { - std::cout << cpu_compact_non_pow2_no_scan[i] << std::endl; - } - - std::cout << "cpu compact pow2 scan" << std::endl; - for (int i = 0; i < num_tests; ++i) { - std::cout << cpu_compact_pow2_scan[i] << std::endl; - } - - std::cout << "efficient compact pow2" << std::endl; - for (int i = 0; i < num_tests; ++i) { - std::cout << efficient_compact_pow2[i] << std::endl; - } - - std::cout << "efficient compact non pow2" << std::endl; - for (int i = 0; i < num_tests; ++i) { - std::cout << efficient_compact_non_pow2[i] << std::endl; - } + + std::cout << "number of elements in input array for power of 2 tests = " << SIZE << std::endl; + std::cout << "number of elements in input array for non-power of 2 tests = " << NPOT << std::endl; + + printf("\n"); + printf("****************\n"); + printf("** SCAN TESTS **\n"); + printf("****************\n"); + + genArray(SIZE - 1, a, 50); // Leave a 0 at the end to test that edge case + a[SIZE - 1] = 0; + printArray(SIZE, a, true); + + // initialize b using StreamCompaction::CPU::scan you implement + // We use b for further comparison. Make sure your StreamCompaction::CPU::scan is correct. + // At first all cases passed because b && c are all zeroes. + zeroArray(SIZE, b); + printDesc("cpu scan, power-of-two"); + StreamCompaction::CPU::scan(SIZE, b, a); + printElapsedTime(StreamCompaction::CPU::timer().getCpuElapsedTimeForPreviousOperation(), "(std::chrono Measured)"); + printArray(SIZE, b, true); + /* + zeroArray(SIZE, c); + printDesc("cpu scan, non-power-of-two"); + StreamCompaction::CPU::scan(NPOT, c, a); + printElapsedTime(StreamCompaction::CPU::timer().getCpuElapsedTimeForPreviousOperation(), "(std::chrono Measured)"); + printArray(NPOT, b, true); + printCmpResult(NPOT, b, c); + + zeroArray(SIZE, c); + printDesc("naive scan, power-of-two"); + StreamCompaction::Naive::scan(SIZE, c, a); + printElapsedTime(StreamCompaction::Naive::timer().getGpuElapsedTimeForPreviousOperation(), "(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); + printElapsedTime(StreamCompaction::Naive::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); + printArray(NPOT, c, true); + printCmpResult(NPOT, b, c); + + zeroArray(SIZE, c); + printDesc("work-efficient scan, power-of-two"); + StreamCompaction::Efficient::scan(SIZE, c, a); + printElapsedTime(StreamCompaction::Efficient::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); + printArray(SIZE, c, true); + printCmpResult(SIZE, b, c); + + zeroArray(SIZE, c); + printDesc("work-efficient scan, non-power-of-two"); + StreamCompaction::Efficient::scan(NPOT, c, a); + printElapsedTime(StreamCompaction::Efficient::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); + printArray(NPOT, c, true); + printCmpResult(NPOT, b, c); + + zeroArray(SIZE, c); + printDesc("work-efficient optimized scan, power-of-two"); + StreamCompaction::Efficient::scan_optimized(SIZE, c, a); + printElapsedTime(StreamCompaction::Efficient::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); + //printArray(SIZE, c, true); + printCmpResult(SIZE, b, c); + + zeroArray(SIZE, c); + printDesc("work-efficient optimized scan, non-power-of-two"); + StreamCompaction::Efficient::scan_optimized(NPOT, c, a); + printElapsedTime(StreamCompaction::Efficient::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); + //printArray(NPOT, c, true); + printCmpResult(NPOT, b, c); + + zeroArray(SIZE, c); + printDesc("work-efficient shared memory scan, power-of-two"); + StreamCompaction::Efficient::scan_sharedMem(SIZE, c, a); + printElapsedTime(StreamCompaction::Efficient::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); + //printArray(SIZE, c, true); + printCmpResult(SIZE, b, c); + + zeroArray(SIZE, c); + printDesc("work-efficient shared memory scan, non-power-of-two"); + StreamCompaction::Efficient::scan_sharedMem(NPOT, c, a); + printElapsedTime(StreamCompaction::Efficient::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); + //printArray(NPOT, c, true); + printCmpResult(NPOT, 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); + + printf("\n"); + printf("*****************************\n"); + printf("** STREAM COMPACTION TESTS **\n"); + printf("*****************************\n"); + + // Compaction tests + + genArray(SIZE - 1, a, 4); // Leave a 0 at the end to test that edge case + a[SIZE - 1] = 0; + printArray(SIZE, a, true); + + int count, expectedCount, expectedNPOT; + + // initialize b using StreamCompaction::CPU::compactWithoutScan you implement + // We use b for further comparison. Make sure your StreamCompaction::CPU::compactWithoutScan is correct. + 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)"); + expectedCount = count; + printArray(count, b, true); + printCmpLenResult(count, expectedCount, b, b); + + zeroArray(SIZE, c); + printDesc("cpu compact without scan, non-power-of-two"); + count = StreamCompaction::CPU::compactWithoutScan(NPOT, c, a); + printElapsedTime(StreamCompaction::CPU::timer().getCpuElapsedTimeForPreviousOperation(), "(std::chrono Measured)"); + expectedNPOT = count; + printArray(count, c, true); + printCmpLenResult(count, expectedNPOT, b, c); + + zeroArray(SIZE, c); + printDesc("cpu compact with scan"); + count = StreamCompaction::CPU::compactWithScan(SIZE, c, a); + printElapsedTime(StreamCompaction::CPU::timer().getCpuElapsedTimeForPreviousOperation(), "(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)"); + 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); + printCmpLenResult(count, expectedNPOT, b, c); + + + + printf("\n"); + printf("*****************************\n"); + printf("** RADIX SORT TESTS **\n"); + printf("*****************************\n"); + + genArray(SIZE - 1, a, 100); // Leave a 0 at the end to test that edge case + a[SIZE - 1] = 0; + printArray(SIZE, a, true); + + zeroArray(SIZE, b); + printDesc("cpu std::stable_sort, power-of-two"); + StreamCompaction::CPU::stdSort(SIZE, b, a); + printElapsedTime(StreamCompaction::CPU::timer().getCpuElapsedTimeForPreviousOperation(), "(std::chrono Measured)"); + printArray(SIZE, b, true); + + zeroArray(SIZE, c); + printDesc("cpu radix sort, power-of-two"); + StreamCompaction::CPU::radixSort(SIZE, c, a); + printElapsedTime(StreamCompaction::CPU::timer().getCpuElapsedTimeForPreviousOperation(), "(std::chrono Measured)"); + //printArray(SIZE, c, true); + printCmpResult(SIZE, b, c); + + zeroArray(SIZE, c); + printDesc("gpu radix sort, power-of-two"); + StreamCompaction::Efficient::radixSort(SIZE, c, a); + printElapsedTime(StreamCompaction::Efficient::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); + //printArray(SIZE, c, true); + printCmpResult(SIZE, b, c);*/ system("pause"); // stop Win32 console from closing on exit + delete[] a; + delete[] b; + delete[] c; } From 19015c9e4fbd3e3bfa80b3dbf0613f900dc4282d Mon Sep 17 00:00:00 2001 From: Nick Moon Date: Sun, 18 Sep 2022 22:49:48 -0400 Subject: [PATCH 08/11] might be final readme commit --- README.md | 134 ++++++++++++++++++------------ images/figures/graph_scan.png | Bin 138794 -> 138656 bytes images/figures/scan_downsweep.PNG | Bin 0 -> 55515 bytes images/figures/scan_upsweep.PNG | Bin 0 -> 39812 bytes src/main.cpp | 48 ++--------- stream_compaction/common.h | 2 +- stream_compaction/efficient.cu | 4 + 7 files changed, 95 insertions(+), 93 deletions(-) create mode 100644 images/figures/scan_downsweep.PNG create mode 100644 images/figures/scan_upsweep.PNG diff --git a/README.md b/README.md index d0eff15..31266f1 100644 --- a/README.md +++ b/README.md @@ -146,45 +146,25 @@ end #### Work-Efficient CUDA Implementation -To make the parallel approach more efficient, a different scheme is used. A problem with the previous method is -that +To make the parallel approach more efficient, a different scheme is used. By treating the array +as a balanced binary tree, the new approach seperates out the algorithm into two steps: the +up-sweep and the down-sweep. The up-sweep is just a parallel reduction, which just stores the +sum of an array in the last index. A picture of the up-sweep on an example array is shown in Figure +1 below: -``` -function scan_gpu(input_array, output_array, number_of_elements): - - let o_array_gpu_0 = input_array (this is an array on the GPU) - let o_array_gpu_1 = o_array_gpu_0 (this is an array on the GPU) +![](images/figures/scan_upsweep.png) +*Figure 1: Demonstration of efficient scan up-sweep operation.* - for all k in parallel: - shift_array_right(k, o_array_gpu_1, o_array_gpu_0) +After the up-sweep, the element at the last index (the sum of the array) is zeroed out, and then +the down-sweep occurs, as seen in Figure 2 below: - for d in range [1, ceil( log_2(n) ) ]: - for all k in parallel: - naive_scan_iteration(k, o_array_gpu_0, o_array_gpu_1, 2^d) - -end - -kernel shift_array_right(thread_ID, input_array, output_array): - if thread_ID_ == 0 then: - output_array[0] = 0 - else: - output_array[thread_ID] = input_array[thread_ID - 1] - -end - -kernel naive_scan_iteration(thread_ID, input_array, output_array, offset): - if (thread_ID < offset) then: - output_array[thread_ID] = input_array[thread_ID] - else: - output_array[thread_ID] = input_array[thread_ID - offset] + input_array[thread_ID] - -end -``` +![](images/figures/scan_downsweep.png) +*Figure 2: Demonstration of efficient scan down-sweep operation.* #### Thrust Implementation For the thrust implementation, the input and output arrays are simply converted to thrust library -device vectors and the thrust "exclusive_scan()" function is called with them. The thrust device vector +```device_vector```s and the thrust ```exclusive_scan()``` function is called with them. The thrust device vector for the output data is then transferred back to the host array. ### Stream Compaction @@ -231,19 +211,65 @@ on the scan result to build the final output array. The psuedocode is below: function stream_compact_cpu_scan(input_array, output_array, number_of_elements): let num_compacted_elements = 0 + + // GENERATE CONDITION VALUES + for i in range [0, number_of_elements): - if input_array[i] != 0 then: - output_array[num_compacted_elements] = input_array[i] - num_compacted_elements = num_compacted_elements + 1 + if input_array[i] == 0 then: + output_array[i] = 0 + else: + output_array[i] = 1 - return num_elements + // SCAN + + let temp_array[number_of_elements] + temp_array[0] = 0; + + for i in range [1, number_of_elements): + temp_array[i] = temp_array[i - 1] + output_array[i - 1] + + // SCATTER + + for i in range [0, number_of_elements): + if output_array[i] == 1 then: + output_array[temp_array[i]] = input_array[i]; + ++num_compacted_elements; + } + + return num_compacted_elements end ``` -#### Extra Credit +#### Efficient Parallel Implementation + +The GPU version of this algorithm directly models the CPU with scan version, except this time the 3 +steps, the condition check, the scan, and the scatter, are all performed on the GPU. The scan +function is the same as for the efficient parallel scan from the previous section, while the pseudocode +for the other two functions are shown below: -###### Not implemented :( +``` + +kernel map_to_boolean(thread_ID, input_array, output_array): + + if input_array[thread_ID] == 0 then: + output_array[thread_ID] = 0 + else: + output_array[thread_ID] = 1 + +end + +kernel scatter(thread_ID, input_array, output_array, boolean_array, indices_array): + + if boolean_array[thread_ID] == 1 then: + output_data[indices_array[thread_ID]] = input_array[thread_ID] + +end +``` + +### Extra Credit + +I implemented the CPU radix sort but did not end up finishing my GPU version. ## Testing Strategy @@ -252,10 +278,10 @@ end The first step in generating results was to figure out the optimal block size for the different GPU implementations of the scan and stream compaction algorithms. Data from each implementation was collected with a constant input array size of 2^25 (33,554,432) for -powers of two block sizes from 32 to 1024, and the results are shown in Figure XXX below. +powers of two block sizes from 32 to 1024, and the results are shown in Figure 3 below. ![](images/figures/graph_blocksize.png) -*Figure XXX: Effect of CUDA block size on runtime of scan and stream compaction.* +*Figure 3: Effect of CUDA block size on runtime of scan and stream compaction.* As seen from the graph, for both exclusive scan and stream compaction, the optimal block size is around 128-256. Below these values, the runtime shoots up exponentially with decreasing block size, @@ -265,13 +291,17 @@ Similarly, the performance also increases with increasing block size past 256, a algorithms save the naive scan. This growth appears roughly linear for the other algorithms, while the runtime stays roughly constant for the naive scan. +To be more specific, the block size with the lowest runtime and thus the **optimal block size** of +the **naive parallel scan is 128**, and for **all others is 256**. These values will thus be used to test +and retrieve results for the forthcoming topics of discussion. + In the **Performance Analysis** section below, all data is from the ***Not Power of 2 Array Size*** tests. This is because this is the most general test case for analyzing these algorithms, as most often an array will not fit neatly into the CUDA blocks. Additionally, there is negligable difference in the -runtimes between the power of 2 and non-power of 2 tests. This can be seen in Figure XXX below: +runtimes between the power of 2 and non-power of 2 tests. This can be seen in Figure 4 below: ![](images/figures/graph_pow2.png) -*Figure XXX: Demonstrating runtime comparison between tests on arrays with power of 2 size and not.* +*Figure 4: Demonstrating runtime comparison between tests on arrays with power of 2 size and not.* ## Performance Analysis @@ -279,7 +309,7 @@ runtimes between the power of 2 and non-power of 2 tests. This can be seen in Fi ### Scan -As can be seen by Figure XXX below, the runtime of the scan algorithm increases roughly linearly for each of the +As can be seen by Figure 5 below, the runtime of the scan algorithm increases roughly linearly for each of the different implementations, but the slope of this increase is different for each one. The thrust version was by far the fastest in most cases and had the smallest slope. @@ -316,12 +346,13 @@ at least double the memory of the efficient version, along with the memory laten that much additional memory usage. ![](images/figures/graph_scan.png) -*Figure XXX: Effect of input array size on runtime of scan algorithm.* +*Figure 5 Effect of input array size on runtime of scan algorithm.* ##### Thrust NSight Analysis Taking a little deeper look into the Thrust version of Exclusive Scan, the NSight profiling timeline -reveals that it consists of at least 1 ```cudaEventCreate``` API call, as well as 3 ```cudaMemcpyAsync``` +seen in Figures 6 and 7 +reveal that it consists of at least 1 ```cudaEventCreate``` API call, as well as 3 ```cudaMemcpyAsync``` calls. Two of these ```cudaMemcpyAsync``` calls are performed as part of the casting the input and output arrays from C style arrays to Thrust ```device_vector```, and the third is from retrieving the output data from the output ```device_vector``` and placing it into the output C style array. In between @@ -331,14 +362,14 @@ of the Thrust Exclusive Scan function is, where it allocates device memory, oper frees it at the end. ![](images/results/thrust_nsight_timeline_memcpy.png) -*Figure XXX: NSight Timeline of Thrust Exclusive Scan operation highlighting cudaMemcpyAsync.* +*Figure 6: NSight Timeline of Thrust Exclusive Scan operation highlighting cudaMemcpyAsync.* ![](images/results/thrust_nsight_timeline_streamsync.png) -*Figure XXX: NSight Timeline of Thrust Exclusive Scan operation highlighting cudaStreamSynchronize.* +*Figure 7: NSight Timeline of Thrust Exclusive Scan operation highlighting cudaStreamSynchronize.* ### Stream Compaction -Likewise, Figure XXX below shows the runtime of the stream compaction algorithm also increases linearly +Likewise, Figure 8 below shows the runtime of the stream compaction algorithm also increases linearly for each of the implementations, and again the slope of this increase is the only thing that changes. However, unlike with scan, here the GPU stream compaction is significantly faster than either of the CPU implementations for arrays with very large amounts of elements (>2000000). This is because @@ -351,12 +382,9 @@ these conditionals, the GPU implementation of stream compaction has much faster in the millions. ![](images/figures/graph_compact.png) -*Figure XXX: Effect of cuda kernel block size on average fps for uniform grid-based simulation* +*Figure 8: Effect of input array size on runtime of stream compaction algorithm* ### Bloopers -![](images/bloopers/blooper_graydeath.PNG) -*Blooper caused by accessing wrong index values for boid position and velocity arrays* - -**For more bloopers, see images/bloopers.** +No bloopers for this assignment! diff --git a/images/figures/graph_scan.png b/images/figures/graph_scan.png index 5c01028771f51064c620bb8822260cf55a1051dc..83b0336cab2f5cc3b35279555ff5e7440c3291a2 100644 GIT binary patch literal 138656 zcmeFaeLU0q|35xC9p_X>om{0vb>2y?3gs%%mFh%EC=Pdrs+mzMuE|{7!#=zh}2wWwY1o^?W|ApZCZ8`7G(= zi6cL)Sib@Sf&BFA(L<*okRR(IkmdXzz6YPo9{E8N{38>3>c{~|2~BMny!j5X|M-3g zq%>{i+_~l8{f|LMT|yxc!+Pl-87(hp4+J8~|Mk%RGm&nito?x-hVE?>i6_RLOtboz 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+13,7 @@ #include #include "testing_helpers.hpp" -const int SIZE = 1 << 26; // feel free to change the size of array +const int SIZE = 1 << 20; // feel free to change the size of array const int NPOT = SIZE - 3; // Non-Power-Of-Two int* a = new int[SIZE]; int* b = new int[SIZE]; @@ -22,9 +22,6 @@ int* c = new int[SIZE]; int main(int argc, char* argv[]) { // Scan tests - std::cout << "number of elements in input array for power of 2 tests = " << SIZE << std::endl; - std::cout << "number of elements in input array for non-power of 2 tests = " << NPOT << std::endl; - printf("\n"); printf("****************\n"); printf("** SCAN TESTS **\n"); @@ -33,7 +30,7 @@ int main(int argc, char* argv[]) { genArray(SIZE - 1, a, 50); // Leave a 0 at the end to test that edge case a[SIZE - 1] = 0; printArray(SIZE, a, true); - + // initialize b using StreamCompaction::CPU::scan you implement // We use b for further comparison. Make sure your StreamCompaction::CPU::scan is correct. // At first all cases passed because b && c are all zeroes. @@ -42,7 +39,7 @@ int main(int argc, char* argv[]) { StreamCompaction::CPU::scan(SIZE, b, a); printElapsedTime(StreamCompaction::CPU::timer().getCpuElapsedTimeForPreviousOperation(), "(std::chrono Measured)"); printArray(SIZE, b, true); - /* + zeroArray(SIZE, c); printDesc("cpu scan, non-power-of-two"); StreamCompaction::CPU::scan(NPOT, c, a); @@ -57,11 +54,11 @@ int main(int argc, char* argv[]) { printArray(SIZE, c, true); printCmpResult(SIZE, b, c); - For bug-finding only: Array of 1s to help find bugs in stream compaction or scan + /* 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); + printArray(SIZE, c, true); */ zeroArray(SIZE, c); printDesc("naive scan, non-power-of-two"); @@ -84,48 +81,20 @@ int main(int argc, char* argv[]) { printArray(NPOT, c, true); printCmpResult(NPOT, b, c); - zeroArray(SIZE, c); - printDesc("work-efficient optimized scan, power-of-two"); - StreamCompaction::Efficient::scan_optimized(SIZE, c, a); - printElapsedTime(StreamCompaction::Efficient::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); - //printArray(SIZE, c, true); - printCmpResult(SIZE, b, c); - - zeroArray(SIZE, c); - printDesc("work-efficient optimized scan, non-power-of-two"); - StreamCompaction::Efficient::scan_optimized(NPOT, c, a); - printElapsedTime(StreamCompaction::Efficient::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); - //printArray(NPOT, c, true); - printCmpResult(NPOT, b, c); - - zeroArray(SIZE, c); - printDesc("work-efficient shared memory scan, power-of-two"); - StreamCompaction::Efficient::scan_sharedMem(SIZE, c, a); - printElapsedTime(StreamCompaction::Efficient::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); - //printArray(SIZE, c, true); - printCmpResult(SIZE, b, c); - - zeroArray(SIZE, c); - printDesc("work-efficient shared memory scan, non-power-of-two"); - StreamCompaction::Efficient::scan_sharedMem(NPOT, c, a); - printElapsedTime(StreamCompaction::Efficient::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); - //printArray(NPOT, c, true); - printCmpResult(NPOT, 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); - + printf("\n"); printf("*****************************\n"); printf("** STREAM COMPACTION TESTS **\n"); @@ -178,8 +147,9 @@ int main(int argc, char* argv[]) { printArray(count, c, true); printCmpLenResult(count, expectedNPOT, b, c); - + // RADIX SORT ON GPU NOT IMPLEMENTED + /* printf("\n"); printf("*****************************\n"); printf("** RADIX SORT TESTS **\n"); diff --git a/stream_compaction/common.h b/stream_compaction/common.h index 5a19fe2..c2b9c77 100644 --- a/stream_compaction/common.h +++ b/stream_compaction/common.h @@ -15,7 +15,7 @@ #define FILENAME (strrchr(__FILE__, '/') ? strrchr(__FILE__, '/') + 1 : __FILE__) #define checkCUDAError(msg) checkCUDAErrorFn(msg, FILENAME, __LINE__) -#define blockSize 256 +#define blockSize 128 //#define inclusiveToExclusive diff --git a/stream_compaction/efficient.cu b/stream_compaction/efficient.cu index e0c1e87..7b822ef 100644 --- a/stream_compaction/efficient.cu +++ b/stream_compaction/efficient.cu @@ -319,6 +319,10 @@ namespace StreamCompaction { return num_elements; } + // + // RADIX SORT NOT FULLY IMPLEMENTED + // + /** * Performs radix sort idata, storing the result into odata. * From 83dcb82e4507a4144fe4b32a3013df55eed0741b Mon Sep 17 00:00:00 2001 From: Nick Moon Date: Sun, 18 Sep 2022 22:50:58 -0400 Subject: [PATCH 09/11] might be final readme commit --- README.md | 8 ++++---- 1 file changed, 4 insertions(+), 4 deletions(-) diff --git a/README.md b/README.md index 31266f1..a9ef920 100644 --- a/README.md +++ b/README.md @@ -152,13 +152,13 @@ up-sweep and the down-sweep. The up-sweep is just a parallel reduction, which ju sum of an array in the last index. A picture of the up-sweep on an example array is shown in Figure 1 below: -![](images/figures/scan_upsweep.png) +![](images/figures/scan_upsweep.PNG) *Figure 1: Demonstration of efficient scan up-sweep operation.* After the up-sweep, the element at the last index (the sum of the array) is zeroed out, and then the down-sweep occurs, as seen in Figure 2 below: -![](images/figures/scan_downsweep.png) +![](images/figures/scan_downsweep.PNG) *Figure 2: Demonstration of efficient scan down-sweep operation.* #### Thrust Implementation @@ -361,10 +361,10 @@ the first two ```cudaMemcpyAsync``` calls and the third, are ```cudaMalloc```, of the Thrust Exclusive Scan function is, where it allocates device memory, operates on the data, and then frees it at the end. -![](images/results/thrust_nsight_timeline_memcpy.png) +![](images/results/thrust_nsight_timeline_memcpy.PNG) *Figure 6: NSight Timeline of Thrust Exclusive Scan operation highlighting cudaMemcpyAsync.* -![](images/results/thrust_nsight_timeline_streamsync.png) +![](images/results/thrust_nsight_timeline_streamsync.PNG) *Figure 7: NSight Timeline of Thrust Exclusive Scan operation highlighting cudaStreamSynchronize.* ### Stream Compaction From 5de91ad7c7f8560908edf1a27a54fb66e47ad120 Mon Sep 17 00:00:00 2001 From: Nick Moon Date: Sun, 18 Sep 2022 22:52:25 -0400 Subject: [PATCH 10/11] might be final readme commit --- README.md | 1 + 1 file changed, 1 insertion(+) diff --git a/README.md b/README.md index a9ef920..62b4e99 100644 --- a/README.md +++ b/README.md @@ -124,6 +124,7 @@ function scan_gpu(input_array, output_array, number_of_elements): for d in range [1, ceil( log_2(n) ) ]: for all k in parallel: naive_scan_iteration(k, o_array_gpu_0, o_array_gpu_1, 2^d) + swap(o_array_gpu_0, o_array_gpu_1) end From d1102c10cf01cd989ff074b67f9a76083b760a46 Mon Sep 17 00:00:00 2001 From: Nick Moon Date: Sun, 18 Sep 2022 22:54:30 -0400 Subject: [PATCH 11/11] might be final readme commit --- README.md | 5 ++++- 1 file changed, 4 insertions(+), 1 deletion(-) diff --git a/README.md b/README.md index 62b4e99..89518f8 100644 --- a/README.md +++ b/README.md @@ -120,11 +120,14 @@ function scan_gpu(input_array, output_array, number_of_elements): for all k in parallel: shift_array_right(k, o_array_gpu_1, o_array_gpu_0) + swap(o_array_gpu_0, o_array_gpu_1) for d in range [1, ceil( log_2(n) ) ]: for all k in parallel: naive_scan_iteration(k, o_array_gpu_0, o_array_gpu_1, 2^d) - swap(o_array_gpu_0, o_array_gpu_1) + swap(o_array_gpu_0, o_array_gpu_1) + + output_array = o_array_gpu_0 end

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