From f2bc281d1e663a3d6612cb11dbfa528078ec99d7 Mon Sep 17 00:00:00 2001 From: Linda Zhu Date: Sat, 16 Sep 2023 00:32:14 -0400 Subject: [PATCH 1/8] add CPU code --- README.md | 65 ++++++++++++++++++++++++++++++++++++++-- stream_compaction/cpu.cu | 52 ++++++++++++++++++++++++++++++-- 2 files changed, 112 insertions(+), 5 deletions(-) diff --git a/README.md b/README.md index 0e38ddb..759dbfa 100644 --- a/README.md +++ b/README.md @@ -9,6 +9,67 @@ CUDA Stream Compaction ### (TODO: Your README) -Include analysis, etc. (Remember, this is public, so don't put -anything here that you don't want to share with the world.) +CPU only: +9/16/23 results: + +**************** +** SCAN TESTS ** +**************** + [ 24 9 33 25 21 8 37 44 20 0 3 0 39 ... 27 0 ] +==== cpu scan, power-of-two ==== + elapsed time: 0.0004ms (std::chrono Measured) + [ 0 24 33 66 91 112 120 157 201 221 221 224 224 ... 5878 5905 ] +==== cpu scan, non-power-of-two ==== + elapsed time: 0.0004ms (std::chrono Measured) + [ 0 24 33 66 91 112 120 157 201 221 221 224 224 ... 5832 5856 ] + passed +==== naive scan, power-of-two ==== + elapsed time: 0.007168ms (CUDA Measured) + a[1] = 24, b[1] = 0 + FAIL VALUE +==== naive scan, non-power-of-two ==== + elapsed time: 0.002048ms (CUDA Measured) + a[1] = 24, b[1] = 0 + FAIL VALUE +==== work-efficient scan, power-of-two ==== + elapsed time: 0.003072ms (CUDA Measured) + a[1] = 24, b[1] = 0 + FAIL VALUE +==== work-efficient scan, non-power-of-two ==== + elapsed time: 0.002048ms (CUDA Measured) + a[1] = 24, b[1] = 0 + FAIL VALUE +==== thrust scan, power-of-two ==== + elapsed time: 0.003072ms (CUDA Measured) + a[1] = 24, b[1] = 0 + FAIL VALUE +==== thrust scan, non-power-of-two ==== + elapsed time: 0.003072ms (CUDA Measured) + a[1] = 24, b[1] = 0 + FAIL VALUE + +***************************** +** STREAM COMPACTION TESTS ** +***************************** + [ 0 3 1 1 1 0 1 0 0 2 1 2 1 ... 1 0 ] +==== cpu compact without scan, power-of-two ==== + elapsed time: 0.0009ms (std::chrono Measured) + [ 3 1 1 1 1 2 1 2 1 3 2 3 3 ... 3 1 ] + passed +==== cpu compact without scan, non-power-of-two ==== + elapsed time: 0.0004ms (std::chrono Measured) + [ 3 1 1 1 1 2 1 2 1 3 2 3 3 ... 2 3 ] + passed +==== cpu compact with scan ==== + elapsed time: 0.001ms (std::chrono Measured) + [ 3 1 1 1 1 2 1 2 1 3 2 3 3 ... 3 1 ] + passed +==== work-efficient compact, power-of-two ==== + elapsed time: 0.015328ms (CUDA Measured) + expected 184 elements, got -1 + FAIL COUNT +==== work-efficient compact, non-power-of-two ==== + elapsed time: 0.003072ms (CUDA Measured) + expected 182 elements, got -1 + FAIL COUNT diff --git a/stream_compaction/cpu.cu b/stream_compaction/cpu.cu index 719fa11..ecaf524 100644 --- a/stream_compaction/cpu.cu +++ b/stream_compaction/cpu.cu @@ -20,19 +20,34 @@ namespace StreamCompaction { void scan(int n, int *odata, const int *idata) { timer().startCpuTimer(); // TODO + int sum = 0; + for (int i = 0; i < n; ++i) { + odata[i] = sum; + int val = idata[i]; + sum += val; + } timer().endCpuTimer(); } /** * CPU stream compaction without using the scan function. - * + * goal: closely and neatly packed the elements != 0 + * Simply loop through the input array, meanwhile maintain a pointer indicating which address shall we put the next non-zero element + * * @returns the number of elements remaining after compaction. */ int compactWithoutScan(int n, int *odata, const int *idata) { timer().startCpuTimer(); // TODO + int count = 0; + for (int i = 0; i < n; ++i) { + int val = idata[i]; + if (val != 0) { + odata[count++] = val; + } + } timer().endCpuTimer(); - return -1; + return count; } /** @@ -41,10 +56,41 @@ namespace StreamCompaction { * @returns the number of elements remaining after compaction. */ int compactWithScan(int n, int *odata, const int *idata) { + int* temp = new int[n]; + timer().startCpuTimer(); // TODO + // Step 1: map + // map original data array (integer, Light Ray, etc) to a bool array + for (int i = 0; i < n; ++i) { + odata[i] = idata[i] ? 1 : 0; + } + int last = odata[n - 1]; + + // Step 2: scan + //scan(n, odata, odata); + int sum = 0; + for (int i = 0; i < n; ++i) { + temp[i] = sum; + int val = odata[i]; + sum += val; + } + int count = last + temp[n - 1]; + + // Step 3: scatter + // preserve non-zero elements and compact them into a new array + // for each element input[i] in original array + // if it's non-zero (given by mapped array) + // then put it at output[index], where index = scanned[i] + for (int i = 0; i < n; ++i) { + if (odata[i]) { + odata[temp[i]] = idata[i]; + } + } timer().endCpuTimer(); - return -1; + + delete[] (temp); + return count; } } } From 033050f78259e824e367acdfbca42a2d35052c41 Mon Sep 17 00:00:00 2001 From: Linda Zhu Date: Sat, 16 Sep 2023 15:09:57 -0400 Subject: [PATCH 2/8] add GPU naive scan --- README.md | 144 ++++++++++++++++++++++++++++--------- src/main.cpp | 2 +- stream_compaction/common.h | 2 + stream_compaction/naive.cu | 47 +++++++++++- 4 files changed, 159 insertions(+), 36 deletions(-) diff --git a/README.md b/README.md index 759dbfa..89992fd 100644 --- a/README.md +++ b/README.md @@ -9,8 +9,10 @@ CUDA Stream Compaction ### (TODO: Your README) -CPU only: -9/16/23 results: + +9/16/23 test results: + +1. CPU only: arr size = 1 << 8 **************** ** SCAN TESTS ** @@ -23,30 +25,6 @@ CPU only: elapsed time: 0.0004ms (std::chrono Measured) [ 0 24 33 66 91 112 120 157 201 221 221 224 224 ... 5832 5856 ] passed -==== naive scan, power-of-two ==== - elapsed time: 0.007168ms (CUDA Measured) - a[1] = 24, b[1] = 0 - FAIL VALUE -==== naive scan, non-power-of-two ==== - elapsed time: 0.002048ms (CUDA Measured) - a[1] = 24, b[1] = 0 - FAIL VALUE -==== work-efficient scan, power-of-two ==== - elapsed time: 0.003072ms (CUDA Measured) - a[1] = 24, b[1] = 0 - FAIL VALUE -==== work-efficient scan, non-power-of-two ==== - elapsed time: 0.002048ms (CUDA Measured) - a[1] = 24, b[1] = 0 - FAIL VALUE -==== thrust scan, power-of-two ==== - elapsed time: 0.003072ms (CUDA Measured) - a[1] = 24, b[1] = 0 - FAIL VALUE -==== thrust scan, non-power-of-two ==== - elapsed time: 0.003072ms (CUDA Measured) - a[1] = 24, b[1] = 0 - FAIL VALUE ***************************** ** STREAM COMPACTION TESTS ** @@ -64,12 +42,110 @@ CPU only: elapsed time: 0.001ms (std::chrono Measured) [ 3 1 1 1 1 2 1 2 1 3 2 3 3 ... 3 1 ] passed -==== work-efficient compact, power-of-two ==== - elapsed time: 0.015328ms (CUDA Measured) - expected 184 elements, got -1 - FAIL COUNT -==== work-efficient compact, non-power-of-two ==== - elapsed time: 0.003072ms (CUDA Measured) - expected 182 elements, got -1 - FAIL COUNT + +2. arr size = 1 << 28 + +**************** +** SCAN TESTS ** +**************** + [ 38 3 45 32 46 48 42 7 15 10 10 16 45 ... 23 0 ] +==== cpu scan, power-of-two ==== + elapsed time: 121.7ms (std::chrono Measured) + [ 0 38 41 86 118 164 212 254 261 276 286 296 312 ... -2015407160 -2015407137 ] +==== cpu scan, non-power-of-two ==== + elapsed time: 126.34ms (std::chrono Measured) + [ 0 38 41 86 118 164 212 254 261 276 286 296 312 ... -2015407204 -2015407190 ] + passed + +***************************** +** STREAM COMPACTION TESTS ** +***************************** + [ 1 1 2 3 0 3 0 2 0 2 2 0 3 ... 0 0 ] +==== cpu compact without scan, power-of-two ==== + elapsed time: 610.69ms (std::chrono Measured) + [ 1 1 2 3 3 2 2 2 3 3 2 1 2 ... 1 3 ] + passed +==== cpu compact without scan, non-power-of-two ==== + elapsed time: 636.085ms (std::chrono Measured) + [ 1 1 2 3 3 2 2 2 3 3 2 1 2 ... 3 1 ] + passed +==== cpu compact with scan ==== + elapsed time: 1088.41ms (std::chrono Measured) + [ 1 1 2 3 3 2 2 2 3 3 2 1 2 ... 1 3 ] + passed + + +3. gpu naive scan: arr size = 1 << 8 + +**************** +** SCAN TESTS ** +**************** + [ 47 28 21 1 30 20 6 37 4 24 4 11 26 ... 11 0 ] +==== cpu scan, power-of-two ==== + elapsed time: 0.0005ms (std::chrono Measured) + [ 0 47 75 96 97 127 147 153 190 194 218 222 233 ... 6240 6251 ] +==== cpu scan, non-power-of-two ==== + elapsed time: 0.0003ms (std::chrono Measured) + [ 0 47 75 96 97 127 147 153 190 194 218 222 233 ... 6127 6151 ] + passed +==== naive scan, power-of-two ==== + elapsed time: 0.1024ms (CUDA Measured) + passed +==== naive scan, non-power-of-two ==== + elapsed time: 0.034816ms (CUDA Measured) + passed + +***************************** +** STREAM COMPACTION TESTS ** +***************************** + [ 1 0 3 1 0 0 2 3 0 2 0 1 0 ... 1 0 ] +==== cpu compact without scan, power-of-two ==== + elapsed time: 0.0009ms (std::chrono Measured) + [ 1 3 1 2 3 2 1 3 3 3 3 1 2 ... 1 1 ] + passed +==== cpu compact without scan, non-power-of-two ==== + elapsed time: 0.0007ms (std::chrono Measured) + [ 1 3 1 2 3 2 1 3 3 3 3 1 2 ... 2 2 ] + passed +==== cpu compact with scan ==== + elapsed time: 0.0008ms (std::chrono Measured) + [ 1 3 1 2 3 2 1 3 3 3 3 1 2 ... 1 1 ] + passed + +4. arr size = 1 << 28: + +**************** +** SCAN TESTS ** +**************** + [ 43 29 30 8 31 19 46 25 29 39 44 30 1 ... 9 0 ] +==== cpu scan, power-of-two ==== + elapsed time: 210.313ms (std::chrono Measured) + [ 0 43 72 102 110 141 160 206 231 260 299 343 373 ... -2015277306 -2015277297 ] +==== cpu scan, non-power-of-two ==== + elapsed time: 122.004ms (std::chrono Measured) + [ 0 43 72 102 110 141 160 206 231 260 299 343 373 ... -2015277354 -2015277330 ] + passed +==== naive scan, power-of-two ==== + elapsed time: 195.855ms (CUDA Measured) + passed +==== naive scan, non-power-of-two ==== + elapsed time: 195.335ms (CUDA Measured) + passed + +***************************** +** STREAM COMPACTION TESTS ** +***************************** + [ 3 1 2 1 2 3 0 3 3 3 2 2 3 ... 3 0 ] +==== cpu compact without scan, power-of-two ==== + elapsed time: 611.903ms (std::chrono Measured) + [ 3 1 2 1 2 3 3 3 3 2 2 3 1 ... 3 3 ] + passed +==== cpu compact without scan, non-power-of-two ==== + elapsed time: 609.371ms (std::chrono Measured) + [ 3 1 2 1 2 3 3 3 3 2 2 3 1 ... 2 3 ] + passed +==== cpu compact with scan ==== + elapsed time: 1105.18ms (std::chrono Measured) + [ 3 1 2 1 2 3 3 3 3 2 2 3 1 ... 3 3 ] + passed \ No newline at end of file diff --git a/src/main.cpp b/src/main.cpp index 896ac2b..8135c4a 100644 --- a/src/main.cpp +++ b/src/main.cpp @@ -13,7 +13,7 @@ #include #include "testing_helpers.hpp" -const int SIZE = 1 << 8; // feel free to change the size of array +const int SIZE = 1 << 28; //28/*268435456*/ // feel free to change the size of array const int NPOT = SIZE - 3; // Non-Power-Of-Two int *a = new int[SIZE]; int *b = new int[SIZE]; diff --git a/stream_compaction/common.h b/stream_compaction/common.h index d2c1fed..95f9a11 100644 --- a/stream_compaction/common.h +++ b/stream_compaction/common.h @@ -13,6 +13,8 @@ #define FILENAME (strrchr(__FILE__, '/') ? strrchr(__FILE__, '/') + 1 : __FILE__) #define checkCUDAError(msg) checkCUDAErrorFn(msg, FILENAME, __LINE__) +#define blockSize 512 + /** * Check for CUDA errors; print and exit if there was a problem. */ diff --git a/stream_compaction/naive.cu b/stream_compaction/naive.cu index 4308876..6c60f1a 100644 --- a/stream_compaction/naive.cu +++ b/stream_compaction/naive.cu @@ -11,15 +11,60 @@ namespace StreamCompaction { static PerformanceTimer timer; return timer; } - // TODO: __global__ + + // Performs one iteration of naive scan of N elements. + __global__ void kernNaiveScan(int n, int offset, int *odata, const int *idata) { + int index = blockIdx.x * blockDim.x + threadIdx.x; + if (index >= n) { + return; + } + + if (index >= offset) { + odata[index] = idata[index - offset] + idata[index]; + } + else { + odata[index] = idata[index]; + } + } /** * Performs prefix-sum (aka scan) on idata, storing the result into odata. */ void scan(int n, int *odata, const int *idata) { + dim3 blocksPerGrid((n + blockSize - 1) / blockSize); + + // copy data to the GPU + int* dev_buf1; + int* dev_buf2; + + size_t arrSize = n * sizeof(int); + cudaMalloc((void**)&dev_buf1, arrSize); + checkCUDAError("cudaMalloc dev_input failed!"); + cudaMalloc((void**)&dev_buf2, arrSize); + checkCUDAError("cudaMalloc dev_output failed!"); + + cudaMemcpy(dev_buf1, idata, arrSize, cudaMemcpyHostToDevice); + timer().startGpuTimer(); // TODO + for (int d = 1; d <= ilog2ceil(n); ++d) { + int offset = 1 << (d - 1); + kernNaiveScan <<>> (n, offset, dev_buf2, dev_buf1); + + // ping-pong buffer to avoid race conditions + int* tmp = dev_buf1; + dev_buf1 = dev_buf2; + dev_buf2 = tmp; + } timer().endGpuTimer(); + + // shift inclusive to exclusive scan for compaction + odata[0] = 0; + cudaMemcpy(odata + 1, dev_buf1, arrSize, cudaMemcpyDeviceToHost); + + // free memory + cudaFree(dev_buf2); + cudaFree(dev_buf1); } } } From 5d571eab086cc3bdcc8bdd7c79c8c87ca71b9729 Mon Sep 17 00:00:00 2001 From: Linda Zhu Date: Sat, 16 Sep 2023 16:02:17 -0400 Subject: [PATCH 3/8] add gpu work-efficient scan --- README.md | 157 ++++++++++++++++++++++++++++++++- src/main.cpp | 2 +- stream_compaction/efficient.cu | 54 ++++++++++++ 3 files changed, 211 insertions(+), 2 deletions(-) diff --git a/README.md b/README.md index 89992fd..e4db6df 100644 --- a/README.md +++ b/README.md @@ -148,4 +148,159 @@ CUDA Stream Compaction ==== cpu compact with scan ==== elapsed time: 1105.18ms (std::chrono Measured) [ 3 1 2 1 2 3 3 3 3 2 2 3 1 ... 3 3 ] - passed \ No newline at end of file + passed + +5. non-power-of-2: arr size = 1 << 8 + 1 + +**************** +** SCAN TESTS ** +**************** + [ 41 33 3 5 39 13 38 3 21 7 22 40 18 ... 5 0 ] +==== cpu scan, power-of-two ==== + elapsed time: 0.0004ms (std::chrono Measured) + [ 0 41 74 77 82 121 134 172 175 196 203 225 265 ... 12372 12377 ] +==== cpu scan, non-power-of-two ==== + elapsed time: 0.0004ms (std::chrono Measured) + [ 0 41 74 77 82 121 134 172 175 196 203 225 265 ... 12294 12324 ] + passed +==== naive scan, power-of-two ==== + elapsed time: 0.04096ms (CUDA Measured) + passed +==== naive scan, non-power-of-two ==== + elapsed time: 0.06144ms (CUDA Measured) + passed + +***************************** +** STREAM COMPACTION TESTS ** +***************************** + [ 3 3 3 3 1 3 0 3 3 3 2 0 0 ... 3 0 ] +==== cpu compact without scan, power-of-two ==== + elapsed time: 0.0016ms (std::chrono Measured) + [ 3 3 3 3 1 3 3 3 3 2 1 1 3 ... 2 3 ] + passed +==== cpu compact without scan, non-power-of-two ==== + elapsed time: 0.0019ms (std::chrono Measured) + [ 3 3 3 3 1 3 3 3 3 2 1 1 3 ... 2 2 ] + passed +==== cpu compact with scan ==== + elapsed time: 0.002ms (std::chrono Measured) + [ 3 3 3 3 1 3 3 3 3 2 1 1 3 ... 2 3 ] + passed + +6. non-power-of-2: arr size = 10,000 + +**************** +** SCAN TESTS ** +**************** + [ 22 38 29 17 26 43 48 36 14 45 13 30 28 ... 8 0 ] +==== cpu scan, power-of-two ==== + elapsed time: 0.0064ms (std::chrono Measured) + [ 0 22 60 89 106 132 175 223 259 273 318 331 361 ... 244061 244069 ] +==== cpu scan, non-power-of-two ==== + elapsed time: 0.0043ms (std::chrono Measured) + [ 0 22 60 89 106 132 175 223 259 273 318 331 361 ... 243956 243991 ] + passed +==== naive scan, power-of-two ==== + elapsed time: 0.162816ms (CUDA Measured) + passed +==== naive scan, non-power-of-two ==== + elapsed time: 0.161792ms (CUDA Measured) + passed + +***************************** +** STREAM COMPACTION TESTS ** +***************************** + [ 0 0 1 1 0 1 0 0 2 3 3 0 0 ... 0 0 ] +==== cpu compact without scan, power-of-two ==== + elapsed time: 0.0254ms (std::chrono Measured) + [ 1 1 1 2 3 3 2 2 1 1 3 2 2 ... 1 2 ] + passed +==== cpu compact without scan, non-power-of-two ==== + elapsed time: 0.0278ms (std::chrono Measured) + [ 1 1 1 2 3 3 2 2 1 1 3 2 2 ... 1 2 ] + passed +==== cpu compact with scan ==== + elapsed time: 0.0428ms (std::chrono Measured) + [ 1 1 1 2 3 3 2 2 1 1 3 2 2 ... 1 2 ] + passed + +7. non-power-of-2: arr size = 1,000,000 + +**************** +** SCAN TESTS ** +**************** + [ 11 46 46 35 44 22 32 39 13 39 12 22 14 ... 5 0 ] +==== cpu scan, power-of-two ==== + elapsed time: 0.4483ms (std::chrono Measured) + [ 0 11 57 103 138 182 204 236 275 288 327 339 361 ... 24484977 24484982 ] +==== cpu scan, non-power-of-two ==== + elapsed time: 0.4603ms (std::chrono Measured) + [ 0 11 57 103 138 182 204 236 275 288 327 339 361 ... 24484907 24484925 ] + passed +==== naive scan, power-of-two ==== + elapsed time: 0.56752ms (CUDA Measured) + passed +==== naive scan, non-power-of-two ==== + elapsed time: 1.10698ms (CUDA Measured) + passed + +***************************** +** STREAM COMPACTION TESTS ** +***************************** + [ 1 0 2 3 2 2 2 3 1 3 2 2 2 ... 1 0 ] +==== cpu compact without scan, power-of-two ==== + elapsed time: 2.5808ms (std::chrono Measured) + [ 1 2 3 2 2 2 3 1 3 2 2 2 3 ... 2 1 ] + passed +==== cpu compact without scan, non-power-of-two ==== + elapsed time: 2.3386ms (std::chrono Measured) + [ 1 2 3 2 2 2 3 1 3 2 2 2 3 ... 3 2 ] + passed +==== cpu compact with scan ==== + elapsed time: 3.7589ms (std::chrono Measured) + [ 1 2 3 2 2 2 3 1 3 2 2 2 3 ... 2 1 ] + passed + + +8. GPU work-efficient scan: arr size = 1 << 8 + +**************** +** SCAN TESTS ** +**************** + [ 44 45 47 1 26 14 41 13 30 19 12 45 18 ... 7 0 ] +==== cpu scan, power-of-two ==== + elapsed time: 0.0004ms (std::chrono Measured) + [ 0 44 89 136 137 163 177 218 231 261 280 292 337 ... 6600 6607 ] +==== cpu scan, non-power-of-two ==== + elapsed time: 0.0002ms (std::chrono Measured) + [ 0 44 89 136 137 163 177 218 231 261 280 292 337 ... 6528 6561 ] + passed +==== naive scan, power-of-two ==== + elapsed time: 0.054272ms (CUDA Measured) + passed +==== naive scan, non-power-of-two ==== + elapsed time: 0.034816ms (CUDA Measured) + passed +==== work-efficient scan, power-of-two ==== + elapsed time: 5.25005ms (CUDA Measured) + passed +==== work-efficient scan, non-power-of-two ==== + elapsed time: 0.325696ms (CUDA Measured) + passed + +***************************** +** STREAM COMPACTION TESTS ** +***************************** + [ 2 3 3 3 0 0 3 3 2 1 2 1 0 ... 1 0 ] +==== cpu compact without scan, power-of-two ==== + elapsed time: 0.0074ms (std::chrono Measured) + [ 2 3 3 3 3 3 2 1 2 1 1 1 2 ... 3 1 ] + passed +==== cpu compact without scan, non-power-of-two ==== + elapsed time: 0.0007ms (std::chrono Measured) + [ 2 3 3 3 3 3 2 1 2 1 1 1 2 ... 3 3 ] + passed +==== cpu compact with scan ==== + elapsed time: 0.0009ms (std::chrono Measured) + [ 2 3 3 3 3 3 2 1 2 1 1 1 2 ... 3 1 ] + passed diff --git a/src/main.cpp b/src/main.cpp index 8135c4a..8ea8783 100644 --- a/src/main.cpp +++ b/src/main.cpp @@ -13,7 +13,7 @@ #include #include "testing_helpers.hpp" -const int SIZE = 1 << 28; //28/*268435456*/ // feel free to change the size of array +const int SIZE = 1 << 8; //28/*268435456*/ // feel free to change the size of array const int NPOT = SIZE - 3; // Non-Power-Of-Two int *a = new int[SIZE]; int *b = new int[SIZE]; diff --git a/stream_compaction/efficient.cu b/stream_compaction/efficient.cu index 2db346e..f0432f5 100644 --- a/stream_compaction/efficient.cu +++ b/stream_compaction/efficient.cu @@ -12,13 +12,67 @@ namespace StreamCompaction { return timer; } + __global__ void kernUpSweep(int n, int d, int* data) { + int index = blockIdx.x * blockDim.x + threadIdx.x; + if (index >= n) { + return; + } + + int offset1 = 1 << d; + int offset2 = 1 << (1 + d); + if (index % offset2 == 0) { + data[index + offset2 - 1] += + data[index + offset1 - 1]; + } + } + + __global__ void kernDownSweep(int n, int d, int *data) { + int index = blockIdx.x * blockDim.x + threadIdx.x; + if (index >= n) { + return; + } + + int offset1 = 1 << d; + int offset2 = 1 << (1 + d); + if (index % offset2 == 0) { + int left = data[index + offset1 - 1]; // Save left child + data[index + offset1 - 1] = data[index + offset2 - 1]; // Set left child to this node’s value + data[index + offset2 - 1] += left; // Set right child to old left value + + // this node’s value + } + } + /** * Performs prefix-sum (aka scan) on idata, storing the result into odata. */ void scan(int n, int *odata, const int *idata) { + int* dev_buf; + + int power2 = ilog2ceil(n); + int chunkSize = 1 << power2; + + dim3 blocksPerGrid((chunkSize + blockSize - 1) / blockSize); + size_t arrSize = chunkSize * sizeof(int); + + cudaMalloc((void**)&dev_buf, arrSize); + cudaMemcpy(dev_buf, idata, arrSize, cudaMemcpyHostToDevice); + timer().startGpuTimer(); // TODO + // Up Sweep + for (int d = 0; d <= power2-1; ++d) { + kernUpSweep <<>> (chunkSize, d, dev_buf); + } + + // Down Sweep + cudaMemset(dev_buf + chunkSize - 1, 0, sizeof(int)); // set root to zero + for (int d = power2-1; d >= 0; --d) { + kernDownSweep <<>> (chunkSize, d, dev_buf); + } timer().endGpuTimer(); + + cudaMemcpy(odata, dev_buf, arrSize, cudaMemcpyDeviceToHost); + cudaFree(dev_buf); } /** From 9bdf9505e63e744277b23f19bccb91d1c8e21a27 Mon Sep 17 00:00:00 2001 From: Linda Zhu Date: Sat, 16 Sep 2023 23:29:42 -0400 Subject: [PATCH 4/8] finish part 4 --- README.md | 583 +++++++++++++++++++++++++++++++++ src/main.cpp | 5 +- stream_compaction/common.cu | 14 + stream_compaction/cpu.cu | 3 - stream_compaction/efficient.cu | 93 +++++- stream_compaction/naive.cu | 10 +- stream_compaction/thrust.cu | 10 +- 7 files changed, 696 insertions(+), 22 deletions(-) diff --git a/README.md b/README.md index e4db6df..acd08d5 100644 --- a/README.md +++ b/README.md @@ -304,3 +304,586 @@ CUDA Stream Compaction elapsed time: 0.0009ms (std::chrono Measured) [ 2 3 3 3 3 3 2 1 2 1 1 1 2 ... 3 1 ] passed + +9. arr size = 1 << 28 + +**************** +** SCAN TESTS ** +**************** + [ 39 17 23 3 26 20 33 24 41 30 41 31 21 ... 1 0 ] +==== cpu scan, power-of-two ==== + elapsed time: 129.741ms (std::chrono Measured) + [ 0 39 56 79 82 108 128 161 185 226 256 297 328 ... -2015586837 -2015586836 ] +==== cpu scan, non-power-of-two ==== + elapsed time: 127.985ms (std::chrono Measured) + [ 0 39 56 79 82 108 128 161 185 226 256 297 328 ... -2015586885 -2015586869 ] + passed +==== naive scan, power-of-two ==== + elapsed time: 196.371ms (CUDA Measured) + passed +==== naive scan, non-power-of-two ==== + elapsed time: 194.958ms (CUDA Measured) + passed +==== work-efficient scan, power-of-two ==== + elapsed time: 140.183ms (CUDA Measured) + passed +==== work-efficient scan, non-power-of-two ==== + elapsed time: 141.531ms (CUDA Measured) + passed + +***************************** +** STREAM COMPACTION TESTS ** +***************************** + [ 2 0 1 0 0 3 1 1 2 2 2 2 3 ... 2 0 ] +==== cpu compact without scan, power-of-two ==== + elapsed time: 631.703ms (std::chrono Measured) + [ 2 1 3 1 1 2 2 2 2 3 2 2 1 ... 2 2 ] + passed +==== cpu compact without scan, non-power-of-two ==== + elapsed time: 612.56ms (std::chrono Measured) + [ 2 1 3 1 1 2 2 2 2 3 2 2 1 ... 1 2 ] + passed +==== cpu compact with scan ==== + elapsed time: 978.363ms (std::chrono Measured) + [ 2 1 3 1 1 2 2 2 2 3 2 2 1 ... 2 2 ] + passed + + +10. arr size = 10,000 + +**************** +** SCAN TESTS ** +**************** + [ 35 33 18 22 28 2 45 5 29 47 47 39 24 ... 31 0 ] +==== cpu scan, power-of-two ==== + elapsed time: 0.005ms (std::chrono Measured) + [ 0 35 68 86 108 136 138 183 188 217 264 311 350 ... 244314 244345 ] +==== cpu scan, non-power-of-two ==== + elapsed time: 0.0051ms (std::chrono Measured) + [ 0 35 68 86 108 136 138 183 188 217 264 311 350 ... 244242 244254 ] + passed +==== naive scan, power-of-two ==== + elapsed time: 0.123904ms (CUDA Measured) + passed +==== naive scan, non-power-of-two ==== + elapsed time: 0.159744ms (CUDA Measured) + passed +==== work-efficient scan, power-of-two ==== + elapsed time: 0.43008ms (CUDA Measured) + passed +==== work-efficient scan, non-power-of-two ==== + elapsed time: 0.356352ms (CUDA Measured) + passed + +***************************** +** STREAM COMPACTION TESTS ** +***************************** + [ 3 1 2 0 2 2 1 3 3 1 1 3 0 ... 1 0 ] +==== cpu compact without scan, power-of-two ==== + elapsed time: 0.0269ms (std::chrono Measured) + [ 3 1 2 2 2 1 3 3 1 1 3 1 2 ... 1 1 ] + passed +==== cpu compact without scan, non-power-of-two ==== + elapsed time: 0.0237ms (std::chrono Measured) + [ 3 1 2 2 2 1 3 3 1 1 3 1 2 ... 2 3 ] + passed +==== cpu compact with scan ==== + elapsed time: 0.0371ms (std::chrono Measured) + [ 3 1 2 2 2 1 3 3 1 1 3 1 2 ... 1 1 ] + passed + +11. arr size = 1,000,000 + +**************** +** SCAN TESTS ** +**************** + [ 36 32 24 33 40 22 28 16 8 30 44 12 42 ... 7 0 ] +==== cpu scan, power-of-two ==== + elapsed time: 0.4109ms (std::chrono Measured) + [ 0 36 68 92 125 165 187 215 231 239 269 313 325 ... 24478746 24478753 ] +==== cpu scan, non-power-of-two ==== + elapsed time: 0.3959ms (std::chrono Measured) + [ 0 36 68 92 125 165 187 215 231 239 269 313 325 ... 24478683 24478692 ] + passed +==== naive scan, power-of-two ==== + elapsed time: 0.574304ms (CUDA Measured) + passed +==== naive scan, non-power-of-two ==== + elapsed time: 0.59184ms (CUDA Measured) + passed +==== work-efficient scan, power-of-two ==== + elapsed time: 1.01581ms (CUDA Measured) + passed +==== work-efficient scan, non-power-of-two ==== + elapsed time: 0.689152ms (CUDA Measured) + passed + +***************************** +** STREAM COMPACTION TESTS ** +***************************** + [ 0 2 2 1 2 0 2 0 0 0 0 0 2 ... 3 0 ] +==== cpu compact without scan, power-of-two ==== + elapsed time: 2.8841ms (std::chrono Measured) + [ 2 2 1 2 2 2 2 3 1 3 2 1 3 ... 1 3 ] + passed +==== cpu compact without scan, non-power-of-two ==== + elapsed time: 2.5874ms (std::chrono Measured) + [ 2 2 1 2 2 2 2 3 1 3 2 1 3 ... 1 1 ] + passed +==== cpu compact with scan ==== + elapsed time: 3.7957ms (std::chrono Measured) + [ 2 2 1 2 2 2 2 3 1 3 2 1 3 ... 1 3 ] + passed + + +12. GPU work-efficient stream compaction: arr size = 1 << 8 + +**************** +** SCAN TESTS ** +**************** + [ 44 38 20 40 28 0 6 24 16 28 14 18 15 ... 27 0 ] +==== cpu scan, power-of-two ==== + elapsed time: 0.0004ms (std::chrono Measured) + [ 0 44 82 102 142 170 170 176 200 216 244 258 276 ... 6497 6524 ] +==== cpu scan, non-power-of-two ==== + elapsed time: 0.0003ms (std::chrono Measured) + [ 0 44 82 102 142 170 170 176 200 216 244 258 276 ... 6443 6448 ] + passed +==== naive scan, power-of-two ==== + elapsed time: 0.03584ms (CUDA Measured) + passed +==== naive scan, non-power-of-two ==== + elapsed time: 0.06144ms (CUDA Measured) + passed +==== work-efficient scan, power-of-two ==== + elapsed time: 0.139264ms (CUDA Measured) + passed +==== work-efficient scan, non-power-of-two ==== + elapsed time: 0.165888ms (CUDA Measured) + passed +==== thrust scan, power-of-two ==== + elapsed time: 0.002944ms (CUDA Measured) + a[1] = 44, b[1] = 0 + FAIL VALUE +==== thrust scan, non-power-of-two ==== + elapsed time: 0.004352ms (CUDA Measured) + a[1] = 44, b[1] = 0 + FAIL VALUE + +***************************** +** STREAM COMPACTION TESTS ** +***************************** + [ 0 2 0 2 2 0 2 0 0 0 2 0 1 ... 3 0 ] +==== cpu compact without scan, power-of-two ==== + elapsed time: 0.0088ms (std::chrono Measured) + [ 2 2 2 2 2 1 2 3 1 3 2 1 3 ... 1 3 ] + passed +==== cpu compact without scan, non-power-of-two ==== + elapsed time: 0.0006ms (std::chrono Measured) + [ 2 2 2 2 2 1 2 3 1 3 2 1 3 ... 3 3 ] + passed +==== cpu compact with scan ==== + elapsed time: 0.0013ms (std::chrono Measured) + [ 2 2 2 2 2 1 2 3 1 3 2 1 3 ... 1 3 ] + passed +==== work-efficient compact, power-of-two ==== + elapsed time: 0.265216ms (CUDA Measured) + passed +==== work-efficient compact, non-power-of-two ==== + elapsed time: 0.18432ms (CUDA Measured) + passed + +13. arr size = 1 << 28 + +**************** +** SCAN TESTS ** +**************** + [ 31 8 39 3 25 18 30 9 8 38 32 33 35 ... 40 0 ] +==== cpu scan, power-of-two ==== + elapsed time: 115.683ms (std::chrono Measured) + [ 0 31 39 78 81 106 124 154 163 171 209 241 274 ... -2016042912 -2016042872 ] +==== cpu scan, non-power-of-two ==== + elapsed time: 117.459ms (std::chrono Measured) + [ 0 31 39 78 81 106 124 154 163 171 209 241 274 ... -2016042942 -2016042934 ] + passed +==== naive scan, power-of-two ==== + elapsed time: 196.181ms (CUDA Measured) + passed +==== naive scan, non-power-of-two ==== + elapsed time: 195.97ms (CUDA Measured) + passed +==== work-efficient scan, power-of-two ==== + elapsed time: 140.868ms (CUDA Measured) + passed +==== work-efficient scan, non-power-of-two ==== + elapsed time: 140.192ms (CUDA Measured) + passed +==== thrust scan, power-of-two ==== + elapsed time: 0.00272ms (CUDA Measured) + a[1] = 31, b[1] = 0 + FAIL VALUE +==== thrust scan, non-power-of-two ==== + elapsed time: 0.003296ms (CUDA Measured) + a[1] = 31, b[1] = 0 + FAIL VALUE + +***************************** +** STREAM COMPACTION TESTS ** +***************************** + [ 1 0 0 1 3 1 1 2 3 0 0 2 0 ... 1 0 ] +==== cpu compact without scan, power-of-two ==== + elapsed time: 611.492ms (std::chrono Measured) + [ 1 1 3 1 1 2 3 2 2 3 2 2 1 ... 3 1 ] + passed +==== cpu compact without scan, non-power-of-two ==== + elapsed time: 605.904ms (std::chrono Measured) + [ 1 1 3 1 1 2 3 2 2 3 2 2 1 ... 2 1 ] + passed +==== cpu compact with scan ==== + elapsed time: 965.131ms (std::chrono Measured) + [ 1 1 3 1 1 2 3 2 2 3 2 2 1 ... 3 1 ] + passed +==== work-efficient compact, power-of-two ==== + elapsed time: 168.418ms (CUDA Measured) + passed +==== work-efficient compact, non-power-of-two ==== + elapsed time: 163.62ms (CUDA Measured) + passed + +14. arr size = 10,000 + +**************** +** SCAN TESTS ** +**************** + [ 11 9 5 19 37 18 43 45 48 43 31 21 13 ... 43 0 ] +==== cpu scan, power-of-two ==== + elapsed time: 0.0055ms (std::chrono Measured) + [ 0 11 20 25 44 81 99 142 187 235 278 309 330 ... 245583 245626 ] +==== cpu scan, non-power-of-two ==== + elapsed time: 0.0035ms (std::chrono Measured) + [ 0 11 20 25 44 81 99 142 187 235 278 309 330 ... 245509 245540 ] + passed +==== naive scan, power-of-two ==== + elapsed time: 0.121856ms (CUDA Measured) + passed +==== naive scan, non-power-of-two ==== + elapsed time: 0.082944ms (CUDA Measured) + passed +==== work-efficient scan, power-of-two ==== + elapsed time: 0.306176ms (CUDA Measured) + passed +==== work-efficient scan, non-power-of-two ==== + elapsed time: 0.283648ms (CUDA Measured) + passed +==== thrust scan, power-of-two ==== + elapsed time: 0.002912ms (CUDA Measured) + a[1] = 11, b[1] = 0 + FAIL VALUE +==== thrust scan, non-power-of-two ==== + elapsed time: 0.00336ms (CUDA Measured) + a[1] = 11, b[1] = 0 + FAIL VALUE + +***************************** +** STREAM COMPACTION TESTS ** +***************************** + [ 2 2 3 2 0 0 1 2 1 3 0 1 0 ... 2 0 ] +==== cpu compact without scan, power-of-two ==== + elapsed time: 0.0257ms (std::chrono Measured) + [ 2 2 3 2 1 2 1 3 1 1 3 3 3 ... 3 2 ] + passed +==== cpu compact without scan, non-power-of-two ==== + elapsed time: 0.2444ms (std::chrono Measured) + [ 2 2 3 2 1 2 1 3 1 1 3 3 3 ... 2 3 ] + passed +==== cpu compact with scan ==== + elapsed time: 0.0399ms (std::chrono Measured) + [ 2 2 3 2 1 2 1 3 1 1 3 3 3 ... 3 2 ] + passed +==== work-efficient compact, power-of-two ==== + elapsed time: 0.258048ms (CUDA Measured) + passed +==== work-efficient compact, non-power-of-two ==== + elapsed time: 0.31232ms (CUDA Measured) + passed + +15. arr size = 1,000,000 + +**************** +** SCAN TESTS ** +**************** + [ 4 19 46 28 26 36 18 17 44 22 24 9 34 ... 5 0 ] +==== cpu scan, power-of-two ==== + elapsed time: 0.4287ms (std::chrono Measured) + [ 0 4 23 69 97 123 159 177 194 238 260 284 293 ... 24491262 24491267 ] +==== cpu scan, non-power-of-two ==== + elapsed time: 0.5807ms (std::chrono Measured) + [ 0 4 23 69 97 123 159 177 194 238 260 284 293 ... 24491225 24491242 ] + passed +==== naive scan, power-of-two ==== + elapsed time: 0.566336ms (CUDA Measured) + passed +==== naive scan, non-power-of-two ==== + elapsed time: 0.72272ms (CUDA Measured) + passed +==== work-efficient scan, power-of-two ==== + elapsed time: 0.731136ms (CUDA Measured) + passed +==== work-efficient scan, non-power-of-two ==== + elapsed time: 0.833536ms (CUDA Measured) + passed +==== thrust scan, power-of-two ==== + elapsed time: 0.004448ms (CUDA Measured) + a[1] = 4, b[1] = 0 + FAIL VALUE +==== thrust scan, non-power-of-two ==== + elapsed time: 0.005696ms (CUDA Measured) + a[1] = 4, b[1] = 0 + FAIL VALUE + +***************************** +** STREAM COMPACTION TESTS ** +***************************** + [ 2 3 2 0 2 2 0 1 0 0 0 3 0 ... 3 0 ] +==== cpu compact without scan, power-of-two ==== + elapsed time: 2.6299ms (std::chrono Measured) + [ 2 3 2 2 2 1 3 1 2 1 2 3 1 ... 2 3 ] + passed +==== cpu compact without scan, non-power-of-two ==== + elapsed time: 2.6916ms (std::chrono Measured) + [ 2 3 2 2 2 1 3 1 2 1 2 3 1 ... 3 2 ] + passed +==== cpu compact with scan ==== + elapsed time: 3.7679ms (std::chrono Measured) + [ 2 3 2 2 2 1 3 1 2 1 2 3 1 ... 2 3 ] + passed +==== work-efficient compact, power-of-two ==== + elapsed time: 0.99248ms (CUDA Measured) + passed +==== work-efficient compact, non-power-of-two ==== + elapsed time: 0.84928ms (CUDA Measured) + passed + + +16. Thrust scan: arr size = 1 << 8 + +**************** +** SCAN TESTS ** +**************** + [ 40 24 11 48 47 39 48 35 20 17 21 11 16 ... 31 0 ] +==== cpu scan, power-of-two ==== + elapsed time: 0.0005ms (std::chrono Measured) + [ 0 40 64 75 123 170 209 257 292 312 329 350 361 ... 6620 6651 ] +==== cpu scan, non-power-of-two ==== + elapsed time: 0.0003ms (std::chrono Measured) + [ 0 40 64 75 123 170 209 257 292 312 329 350 361 ... 6566 6610 ] + passed +==== naive scan, power-of-two ==== + elapsed time: 0.055296ms (CUDA Measured) + passed +==== naive scan, non-power-of-two ==== + elapsed time: 0.054272ms (CUDA Measured) + passed +==== work-efficient scan, power-of-two ==== + elapsed time: 0.14848ms (CUDA Measured) + passed +==== work-efficient scan, non-power-of-two ==== + elapsed time: 0.157696ms (CUDA Measured) + passed +==== thrust scan, power-of-two ==== + elapsed time: 0.472064ms (CUDA Measured) + passed +==== thrust scan, non-power-of-two ==== + elapsed time: 0.031744ms (CUDA Measured) + passed + +***************************** +** STREAM COMPACTION TESTS ** +***************************** + [ 0 0 1 2 1 3 0 1 0 1 3 3 0 ... 3 0 ] +==== cpu compact without scan, power-of-two ==== + elapsed time: 0.0007ms (std::chrono Measured) + [ 1 2 1 3 1 1 3 3 3 2 3 3 3 ... 3 3 ] + passed +==== cpu compact without scan, non-power-of-two ==== + elapsed time: 0.0006ms (std::chrono Measured) + [ 1 2 1 3 1 1 3 3 3 2 3 3 3 ... 3 3 ] + passed +==== cpu compact with scan ==== + elapsed time: 0.0011ms (std::chrono Measured) + [ 1 2 1 3 1 1 3 3 3 2 3 3 3 ... 3 3 ] + passed +==== work-efficient compact, power-of-two ==== + elapsed time: 0.188416ms (CUDA Measured) + passed +==== work-efficient compact, non-power-of-two ==== + elapsed time: 0.185344ms (CUDA Measured) + passed + + +17. arr size = 1 << 28 + +**************** +** SCAN TESTS ** +**************** + [ 16 21 38 16 47 46 13 20 29 2 48 15 48 ... 22 0 ] +==== cpu scan, power-of-two ==== + elapsed time: 126.438ms (std::chrono Measured) + [ 0 16 37 75 91 138 184 197 217 246 248 296 311 ... -2015557726 -2015557704 ] +==== cpu scan, non-power-of-two ==== + elapsed time: 133.342ms (std::chrono Measured) + [ 0 16 37 75 91 138 184 197 217 246 248 296 311 ... -2015557816 -2015557801 ] + passed +==== naive scan, power-of-two ==== + elapsed time: 197.473ms (CUDA Measured) + passed +==== naive scan, non-power-of-two ==== + elapsed time: 196.16ms (CUDA Measured) + passed +==== work-efficient scan, power-of-two ==== + elapsed time: 140.688ms (CUDA Measured) + passed +==== work-efficient scan, non-power-of-two ==== + elapsed time: 140.298ms (CUDA Measured) + passed +==== thrust scan, power-of-two ==== + elapsed time: 7.34115ms (CUDA Measured) + passed +==== thrust scan, non-power-of-two ==== + elapsed time: 7.69514ms (CUDA Measured) + passed + +***************************** +** STREAM COMPACTION TESTS ** +***************************** + [ 0 0 3 0 3 2 0 3 0 1 1 0 3 ... 0 0 ] +==== cpu compact without scan, power-of-two ==== + elapsed time: 610.962ms (std::chrono Measured) + [ 3 3 2 3 1 1 3 2 3 2 2 3 2 ... 3 1 ] + passed +==== cpu compact without scan, non-power-of-two ==== + elapsed time: 618.107ms (std::chrono Measured) + [ 3 3 2 3 1 1 3 2 3 2 2 3 2 ... 3 1 ] + passed +==== cpu compact with scan ==== + elapsed time: 960.001ms (std::chrono Measured) + [ 3 3 2 3 1 1 3 2 3 2 2 3 2 ... 3 1 ] + passed +==== work-efficient compact, power-of-two ==== + elapsed time: 165.221ms (CUDA Measured) + passed +==== work-efficient compact, non-power-of-two ==== + elapsed time: 164.069ms (CUDA Measured) + passed + + +18. arr size = 10,000 + +**************** +** SCAN TESTS ** +**************** + [ 14 0 27 19 22 16 33 23 8 1 8 13 16 ... 28 0 ] +==== cpu scan, power-of-two ==== + elapsed time: 0.006ms (std::chrono Measured) + [ 0 14 14 41 60 82 98 131 154 162 163 171 184 ... 244406 244434 ] +==== cpu scan, non-power-of-two ==== + elapsed time: 0.0041ms (std::chrono Measured) + [ 0 14 14 41 60 82 98 131 154 162 163 171 184 ... 244338 244351 ] + passed +==== naive scan, power-of-two ==== + elapsed time: 0.146432ms (CUDA Measured) + passed +==== naive scan, non-power-of-two ==== + elapsed time: 0.094208ms (CUDA Measured) + passed +==== work-efficient scan, power-of-two ==== + elapsed time: 0.26112ms (CUDA Measured) + passed +==== work-efficient scan, non-power-of-two ==== + elapsed time: 0.29184ms (CUDA Measured) + passed +==== thrust scan, power-of-two ==== + elapsed time: 0.103424ms (CUDA Measured) + passed +==== thrust scan, non-power-of-two ==== + elapsed time: 0.069632ms (CUDA Measured) + passed + +***************************** +** STREAM COMPACTION TESTS ** +***************************** + [ 2 0 3 1 1 2 3 2 3 1 0 3 1 ... 1 0 ] +==== cpu compact without scan, power-of-two ==== + elapsed time: 0.0325ms (std::chrono Measured) + [ 2 3 1 1 2 3 2 3 1 3 1 3 2 ... 3 1 ] + passed +==== cpu compact without scan, non-power-of-two ==== + elapsed time: 0.027ms (std::chrono Measured) + [ 2 3 1 1 2 3 2 3 1 3 1 3 2 ... 2 3 ] + passed +==== cpu compact with scan ==== + elapsed time: 0.0386ms (std::chrono Measured) + [ 2 3 1 1 2 3 2 3 1 3 1 3 2 ... 3 1 ] + passed +==== work-efficient compact, power-of-two ==== + elapsed time: 0.282624ms (CUDA Measured) + passed +==== work-efficient compact, non-power-of-two ==== + elapsed time: 0.372736ms (CUDA Measured) + passed + + +19. arr size = 1,000,000 + +**************** +** SCAN TESTS ** +**************** + [ 38 5 38 21 10 41 2 40 6 0 37 37 43 ... 21 0 ] +==== cpu scan, power-of-two ==== + elapsed time: 0.4576ms (std::chrono Measured) + [ 0 38 43 81 102 112 153 155 195 201 201 238 275 ... 24455654 24455675 ] +==== cpu scan, non-power-of-two ==== + elapsed time: 0.4375ms (std::chrono Measured) + [ 0 38 43 81 102 112 153 155 195 201 201 238 275 ... 24455578 24455579 ] + passed +==== naive scan, power-of-two ==== + elapsed time: 0.705472ms (CUDA Measured) + passed +==== naive scan, non-power-of-two ==== + elapsed time: 0.573632ms (CUDA Measured) + passed +==== work-efficient scan, power-of-two ==== + elapsed time: 0.720896ms (CUDA Measured) + passed +==== work-efficient scan, non-power-of-two ==== + elapsed time: 0.709632ms (CUDA Measured) + passed +==== thrust scan, power-of-two ==== + elapsed time: 0.574208ms (CUDA Measured) + passed +==== thrust scan, non-power-of-two ==== + elapsed time: 0.607904ms (CUDA Measured) + passed + +***************************** +** STREAM COMPACTION TESTS ** +***************************** + [ 2 3 2 3 0 3 0 0 0 2 3 1 3 ... 1 0 ] +==== cpu compact without scan, power-of-two ==== + elapsed time: 2.52ms (std::chrono Measured) + [ 2 3 2 3 3 2 3 1 3 1 3 1 1 ... 2 1 ] + passed +==== cpu compact without scan, non-power-of-two ==== + elapsed time: 2.7359ms (std::chrono Measured) + [ 2 3 2 3 3 2 3 1 3 1 3 1 1 ... 3 3 ] + passed +==== cpu compact with scan ==== + elapsed time: 4.4376ms (std::chrono Measured) + [ 2 3 2 3 3 2 3 1 3 1 3 1 1 ... 2 1 ] + passed +==== work-efficient compact, power-of-two ==== + elapsed time: 1.00077ms (CUDA Measured) + passed +==== work-efficient compact, non-power-of-two ==== + elapsed time: 1.06157ms (CUDA Measured) + passed \ No newline at end of file diff --git a/src/main.cpp b/src/main.cpp index 8ea8783..cd98eed 100644 --- a/src/main.cpp +++ b/src/main.cpp @@ -13,7 +13,10 @@ #include #include "testing_helpers.hpp" -const int SIZE = 1 << 8; //28/*268435456*/ // feel free to change the size of array +const int SIZE = 1 << 8; // feel free to change the size of array + // 28 = 268435456 +//const int SIZE = 1000000; + const int NPOT = SIZE - 3; // Non-Power-Of-Two int *a = new int[SIZE]; int *b = new int[SIZE]; diff --git a/stream_compaction/common.cu b/stream_compaction/common.cu index 2ed6d63..25d24a7 100644 --- a/stream_compaction/common.cu +++ b/stream_compaction/common.cu @@ -24,6 +24,12 @@ namespace StreamCompaction { */ __global__ void kernMapToBoolean(int n, int *bools, const int *idata) { // TODO + int index = blockIdx.x * blockDim.x + threadIdx.x; + if (index >= n) { + return; + } + + bools[index] = (int)(idata[index] != 0); } /** @@ -33,6 +39,14 @@ namespace StreamCompaction { __global__ void kernScatter(int n, int *odata, const int *idata, const int *bools, const int *indices) { // TODO + int index = blockIdx.x * blockDim.x + threadIdx.x; + if (index >= n) { + return; + } + + if (bools[index]) { + odata[indices[index]] = idata[index]; + } } } diff --git a/stream_compaction/cpu.cu b/stream_compaction/cpu.cu index ecaf524..85249a1 100644 --- a/stream_compaction/cpu.cu +++ b/stream_compaction/cpu.cu @@ -19,7 +19,6 @@ namespace StreamCompaction { */ void scan(int n, int *odata, const int *idata) { timer().startCpuTimer(); - // TODO int sum = 0; for (int i = 0; i < n; ++i) { odata[i] = sum; @@ -38,7 +37,6 @@ namespace StreamCompaction { */ int compactWithoutScan(int n, int *odata, const int *idata) { timer().startCpuTimer(); - // TODO int count = 0; for (int i = 0; i < n; ++i) { int val = idata[i]; @@ -59,7 +57,6 @@ namespace StreamCompaction { int* temp = new int[n]; timer().startCpuTimer(); - // TODO // Step 1: map // map original data array (integer, Light Ray, etc) to a bool array for (int i = 0; i < n; ++i) { diff --git a/stream_compaction/efficient.cu b/stream_compaction/efficient.cu index f0432f5..496aa88 100644 --- a/stream_compaction/efficient.cu +++ b/stream_compaction/efficient.cu @@ -12,6 +12,7 @@ namespace StreamCompaction { return timer; } + // Performs ONE iteration of up sweep __global__ void kernUpSweep(int n, int d, int* data) { int index = blockIdx.x * blockDim.x + threadIdx.x; if (index >= n) { @@ -26,6 +27,7 @@ namespace StreamCompaction { } } + // Performs ONE iteration of down sweep __global__ void kernDownSweep(int n, int d, int *data) { int index = blockIdx.x * blockDim.x + threadIdx.x; if (index >= n) { @@ -49,29 +51,40 @@ namespace StreamCompaction { int* dev_buf; int power2 = ilog2ceil(n); - int chunkSize = 1 << power2; + int chunk = 1 << power2; - dim3 blocksPerGrid((chunkSize + blockSize - 1) / blockSize); - size_t arrSize = chunkSize * sizeof(int); + dim3 blocksPerGrid((chunk + blockSize - 1) / blockSize); + size_t arrSize = n * sizeof(int); + + cudaMalloc((void**)&dev_buf, chunk * sizeof(int)); + //checkCUDAError("cudaMalloc dev_buf failed!"); - cudaMalloc((void**)&dev_buf, arrSize); cudaMemcpy(dev_buf, idata, arrSize, cudaMemcpyHostToDevice); + //checkCUDAError("cudaMemcpy idata to dev_buf failed!"); + if (chunk > n) { + cudaMemset(dev_buf + n, 0, (chunk - n) * sizeof(int)); + //checkCUDAError("cudaMemset dev_buf[n] failed!"); + } timer().startGpuTimer(); - // TODO // Up Sweep for (int d = 0; d <= power2-1; ++d) { - kernUpSweep <<>> (chunkSize, d, dev_buf); + kernUpSweep <<>> (chunk, d, dev_buf); + //checkCUDAError("kernUpSweep failed!"); } // Down Sweep - cudaMemset(dev_buf + chunkSize - 1, 0, sizeof(int)); // set root to zero + cudaMemset(dev_buf + chunk - 1, 0, sizeof(int)); // set root to zero + //checkCUDAError("cudaMemset dev_buf[chunk-1] failed!"); + for (int d = power2-1; d >= 0; --d) { - kernDownSweep <<>> (chunkSize, d, dev_buf); + kernDownSweep <<>> (chunk, d, dev_buf); + //checkCUDAError("kernDownSweep failed!"); } timer().endGpuTimer(); cudaMemcpy(odata, dev_buf, arrSize, cudaMemcpyDeviceToHost); + //checkCUDAError("cudaMemcpy odata failed!"); cudaFree(dev_buf); } @@ -84,11 +97,69 @@ 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_bools; + int* dev_indices; + int count = 0; + + int power2 = ilog2ceil(n); + int chunk = 1 << power2; + + dim3 chunkBlocksPerGrid((chunk + blockSize - 1) / blockSize); + dim3 fullBlocksPerGrid((n + blockSize - 1) / blockSize); + + size_t arrSize = n * sizeof(int); + cudaMalloc((void**)&dev_idata, arrSize); + cudaMalloc((void**)&dev_odata, arrSize); + cudaMalloc((void**)&dev_bools, arrSize); + cudaMalloc((void**)&dev_indices, chunk * sizeof(int)); + + // copy original data to GPU + cudaMemcpy(dev_idata, idata, arrSize, cudaMemcpyHostToDevice); + timer().startGpuTimer(); - // TODO + // Step 1: Map + Common::kernMapToBoolean << < fullBlocksPerGrid, blockSize >> > (n, dev_bools, dev_idata); + + // Step 2: Scan + // copy bool array to index array for in-place operation, still need original bool array later for scatter + cudaMemcpy(dev_indices, dev_bools, arrSize, cudaMemcpyDeviceToDevice); + if (chunk > n) { + cudaMemset(dev_indices + n, 0, (chunk - n) * sizeof(int)); + } + + // Up Sweep + for (int d = 0; d <= power2 - 1; ++d) { + kernUpSweep << > > (chunk, d, dev_indices); + } + + // set root to zero + cudaMemset(dev_indices + chunk - 1, 0, sizeof(int)); + + // Down Sweep + for (int d = power2 - 1; d >= 0; --d) { + kernDownSweep << > > (chunk, d, dev_indices); + } + + // Step 3: Scatter + Common::kernScatter << > > (n, + dev_odata, dev_idata, dev_bools, dev_indices); timer().endGpuTimer(); - return -1; + + // Copy over last elements from GPU to local to return + cudaMemcpy(&count, dev_indices + (n - 1), sizeof(int), cudaMemcpyDeviceToHost); + count += (int)(idata[n - 1] != 0); + cudaMemcpy(odata, dev_odata, arrSize, cudaMemcpyDeviceToHost); + + // free memory + cudaFree(dev_idata); + cudaFree(dev_odata); + cudaFree(dev_bools); + cudaFree(dev_indices); + + return count; } } } diff --git a/stream_compaction/naive.cu b/stream_compaction/naive.cu index 6c60f1a..32c7c38 100644 --- a/stream_compaction/naive.cu +++ b/stream_compaction/naive.cu @@ -39,18 +39,19 @@ namespace StreamCompaction { size_t arrSize = n * sizeof(int); cudaMalloc((void**)&dev_buf1, arrSize); - checkCUDAError("cudaMalloc dev_input failed!"); + checkCUDAError("cudaMalloc dev_buf1 failed!"); cudaMalloc((void**)&dev_buf2, arrSize); - checkCUDAError("cudaMalloc dev_output failed!"); + checkCUDAError("cudaMalloc dev_buf2 failed!"); cudaMemcpy(dev_buf1, idata, arrSize, cudaMemcpyHostToDevice); + checkCUDAError("cudaMemcpy idata to dev_buf1 failed!"); timer().startGpuTimer(); - // TODO for (int d = 1; d <= ilog2ceil(n); ++d) { int offset = 1 << (d - 1); kernNaiveScan <<>> (n, offset, dev_buf2, dev_buf1); - + checkCUDAError("kernNaiveScan failed!"); + // ping-pong buffer to avoid race conditions int* tmp = dev_buf1; dev_buf1 = dev_buf2; @@ -61,6 +62,7 @@ namespace StreamCompaction { // shift inclusive to exclusive scan for compaction odata[0] = 0; cudaMemcpy(odata + 1, dev_buf1, arrSize, cudaMemcpyDeviceToHost); + checkCUDAError("cudaMemcpy odata failed!"); // free memory cudaFree(dev_buf2); diff --git a/stream_compaction/thrust.cu b/stream_compaction/thrust.cu index 1def45e..541bccf 100644 --- a/stream_compaction/thrust.cu +++ b/stream_compaction/thrust.cu @@ -18,11 +18,15 @@ 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(); + + int* dv_odata_ptr = thrust::raw_pointer_cast(thrust_dv_odata.data()); + cudaMemcpy(odata, dv_odata_ptr, n * sizeof(int), cudaMemcpyDeviceToHost); } } } From 7ab3b88525a2a13eb7bfb41f3a2b43abad4991ce Mon Sep 17 00:00:00 2001 From: Linda Zhu Date: Tue, 19 Sep 2023 21:18:44 -0400 Subject: [PATCH 5/8] add optimization and README --- README.md | 891 ++----------------- img/results/cpu_gpu_efficient_comparison.png | Bin 0 -> 51306 bytes img/results/gpu_blocksize_comparison.png | Bin 0 -> 105045 bytes img/results/warp_divergence_diagram.png | Bin 0 -> 42090 bytes src/main.cpp | 20 +- stream_compaction/common.h | 1 + stream_compaction/efficient.cu | 86 +- stream_compaction/efficient.h | 1 + 8 files changed, 162 insertions(+), 837 deletions(-) create mode 100644 img/results/cpu_gpu_efficient_comparison.png create mode 100644 img/results/gpu_blocksize_comparison.png create mode 100644 img/results/warp_divergence_diagram.png diff --git a/README.md b/README.md index acd08d5..c8fe922 100644 --- a/README.md +++ b/README.md @@ -3,887 +3,120 @@ 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) +* Linda Zhu +* Tested on: Windows 11, i7-12800H @ 2.40GHz 16GB, NVIDIA GeForce RTX 3070 Ti (Personal Laptop) -### (TODO: Your README) - - -9/16/23 test results: - -1. CPU only: arr size = 1 << 8 - -**************** -** SCAN TESTS ** -**************** - [ 24 9 33 25 21 8 37 44 20 0 3 0 39 ... 27 0 ] -==== cpu scan, power-of-two ==== - elapsed time: 0.0004ms (std::chrono Measured) - [ 0 24 33 66 91 112 120 157 201 221 221 224 224 ... 5878 5905 ] -==== cpu scan, non-power-of-two ==== - elapsed time: 0.0004ms (std::chrono Measured) - [ 0 24 33 66 91 112 120 157 201 221 221 224 224 ... 5832 5856 ] - passed - -***************************** -** STREAM COMPACTION TESTS ** -***************************** - [ 0 3 1 1 1 0 1 0 0 2 1 2 1 ... 1 0 ] -==== cpu compact without scan, power-of-two ==== - elapsed time: 0.0009ms (std::chrono Measured) - [ 3 1 1 1 1 2 1 2 1 3 2 3 3 ... 3 1 ] - passed -==== cpu compact without scan, non-power-of-two ==== - elapsed time: 0.0004ms (std::chrono Measured) - [ 3 1 1 1 1 2 1 2 1 3 2 3 3 ... 2 3 ] - passed -==== cpu compact with scan ==== - elapsed time: 0.001ms (std::chrono Measured) - [ 3 1 1 1 1 2 1 2 1 3 2 3 3 ... 3 1 ] - passed - - -2. arr size = 1 << 28 - -**************** -** SCAN TESTS ** -**************** - [ 38 3 45 32 46 48 42 7 15 10 10 16 45 ... 23 0 ] -==== cpu scan, power-of-two ==== - elapsed time: 121.7ms (std::chrono Measured) - [ 0 38 41 86 118 164 212 254 261 276 286 296 312 ... -2015407160 -2015407137 ] -==== cpu scan, non-power-of-two ==== - elapsed time: 126.34ms (std::chrono Measured) - [ 0 38 41 86 118 164 212 254 261 276 286 296 312 ... -2015407204 -2015407190 ] - passed - -***************************** -** STREAM COMPACTION TESTS ** -***************************** - [ 1 1 2 3 0 3 0 2 0 2 2 0 3 ... 0 0 ] -==== cpu compact without scan, power-of-two ==== - elapsed time: 610.69ms (std::chrono Measured) - [ 1 1 2 3 3 2 2 2 3 3 2 1 2 ... 1 3 ] - passed -==== cpu compact without scan, non-power-of-two ==== - elapsed time: 636.085ms (std::chrono Measured) - [ 1 1 2 3 3 2 2 2 3 3 2 1 2 ... 3 1 ] - passed -==== cpu compact with scan ==== - elapsed time: 1088.41ms (std::chrono Measured) - [ 1 1 2 3 3 2 2 2 3 3 2 1 2 ... 1 3 ] - passed - - -3. gpu naive scan: arr size = 1 << 8 - -**************** -** SCAN TESTS ** -**************** - [ 47 28 21 1 30 20 6 37 4 24 4 11 26 ... 11 0 ] -==== cpu scan, power-of-two ==== - elapsed time: 0.0005ms (std::chrono Measured) - [ 0 47 75 96 97 127 147 153 190 194 218 222 233 ... 6240 6251 ] -==== cpu scan, non-power-of-two ==== - elapsed time: 0.0003ms (std::chrono Measured) - [ 0 47 75 96 97 127 147 153 190 194 218 222 233 ... 6127 6151 ] - passed -==== naive scan, power-of-two ==== - elapsed time: 0.1024ms (CUDA Measured) - passed -==== naive scan, non-power-of-two ==== - elapsed time: 0.034816ms (CUDA Measured) - passed - -***************************** -** STREAM COMPACTION TESTS ** -***************************** - [ 1 0 3 1 0 0 2 3 0 2 0 1 0 ... 1 0 ] -==== cpu compact without scan, power-of-two ==== - elapsed time: 0.0009ms (std::chrono Measured) - [ 1 3 1 2 3 2 1 3 3 3 3 1 2 ... 1 1 ] - passed -==== cpu compact without scan, non-power-of-two ==== - elapsed time: 0.0007ms (std::chrono Measured) - [ 1 3 1 2 3 2 1 3 3 3 3 1 2 ... 2 2 ] - passed -==== cpu compact with scan ==== - elapsed time: 0.0008ms (std::chrono Measured) - [ 1 3 1 2 3 2 1 3 3 3 3 1 2 ... 1 1 ] - passed - -4. arr size = 1 << 28: - -**************** -** SCAN TESTS ** -**************** - [ 43 29 30 8 31 19 46 25 29 39 44 30 1 ... 9 0 ] -==== cpu scan, power-of-two ==== - elapsed time: 210.313ms (std::chrono Measured) - [ 0 43 72 102 110 141 160 206 231 260 299 343 373 ... -2015277306 -2015277297 ] -==== cpu scan, non-power-of-two ==== - elapsed time: 122.004ms (std::chrono Measured) - [ 0 43 72 102 110 141 160 206 231 260 299 343 373 ... -2015277354 -2015277330 ] - passed -==== naive scan, power-of-two ==== - elapsed time: 195.855ms (CUDA Measured) - passed -==== naive scan, non-power-of-two ==== - elapsed time: 195.335ms (CUDA Measured) - passed - -***************************** -** STREAM COMPACTION TESTS ** -***************************** - [ 3 1 2 1 2 3 0 3 3 3 2 2 3 ... 3 0 ] -==== cpu compact without scan, power-of-two ==== - elapsed time: 611.903ms (std::chrono Measured) - [ 3 1 2 1 2 3 3 3 3 2 2 3 1 ... 3 3 ] - passed -==== cpu compact without scan, non-power-of-two ==== - elapsed time: 609.371ms (std::chrono Measured) - [ 3 1 2 1 2 3 3 3 3 2 2 3 1 ... 2 3 ] - passed -==== cpu compact with scan ==== - elapsed time: 1105.18ms (std::chrono Measured) - [ 3 1 2 1 2 3 3 3 3 2 2 3 1 ... 3 3 ] - passed - -5. non-power-of-2: arr size = 1 << 8 + 1 +## Results +Test case configuration: block size = 512, array size = 225 +I added 2 corner cases for my optimized GPU efficient scan in the printouts with the label "optimized work-efficient scan ...". +``` **************** ** SCAN TESTS ** **************** - [ 41 33 3 5 39 13 38 3 21 7 22 40 18 ... 5 0 ] + [ 39 25 44 23 36 32 15 35 41 19 6 20 21 ... 8 0 ] ==== cpu scan, power-of-two ==== - elapsed time: 0.0004ms (std::chrono Measured) - [ 0 41 74 77 82 121 134 172 175 196 203 225 265 ... 12372 12377 ] + elapsed time: 17.503ms (std::chrono Measured) + [ 0 39 64 108 131 167 199 214 249 290 309 315 335 ... 821771882 821771890 ] ==== cpu scan, non-power-of-two ==== - elapsed time: 0.0004ms (std::chrono Measured) - [ 0 41 74 77 82 121 134 172 175 196 203 225 265 ... 12294 12324 ] + elapsed time: 20.5698ms (std::chrono Measured) + [ 0 39 64 108 131 167 199 214 249 290 309 315 335 ... 821771783 821771828 ] passed ==== naive scan, power-of-two ==== - elapsed time: 0.04096ms (CUDA Measured) + elapsed time: 22.0729ms (CUDA Measured) passed ==== naive scan, non-power-of-two ==== - elapsed time: 0.06144ms (CUDA Measured) - passed - -***************************** -** STREAM COMPACTION TESTS ** -***************************** - [ 3 3 3 3 1 3 0 3 3 3 2 0 0 ... 3 0 ] -==== cpu compact without scan, power-of-two ==== - elapsed time: 0.0016ms (std::chrono Measured) - [ 3 3 3 3 1 3 3 3 3 2 1 1 3 ... 2 3 ] - passed -==== cpu compact without scan, non-power-of-two ==== - elapsed time: 0.0019ms (std::chrono Measured) - [ 3 3 3 3 1 3 3 3 3 2 1 1 3 ... 2 2 ] - passed -==== cpu compact with scan ==== - elapsed time: 0.002ms (std::chrono Measured) - [ 3 3 3 3 1 3 3 3 3 2 1 1 3 ... 2 3 ] - passed - -6. non-power-of-2: arr size = 10,000 - -**************** -** SCAN TESTS ** -**************** - [ 22 38 29 17 26 43 48 36 14 45 13 30 28 ... 8 0 ] -==== cpu scan, power-of-two ==== - elapsed time: 0.0064ms (std::chrono Measured) - [ 0 22 60 89 106 132 175 223 259 273 318 331 361 ... 244061 244069 ] -==== cpu scan, non-power-of-two ==== - elapsed time: 0.0043ms (std::chrono Measured) - [ 0 22 60 89 106 132 175 223 259 273 318 331 361 ... 243956 243991 ] - passed -==== naive scan, power-of-two ==== - elapsed time: 0.162816ms (CUDA Measured) - passed -==== naive scan, non-power-of-two ==== - elapsed time: 0.161792ms (CUDA Measured) - passed - -***************************** -** STREAM COMPACTION TESTS ** -***************************** - [ 0 0 1 1 0 1 0 0 2 3 3 0 0 ... 0 0 ] -==== cpu compact without scan, power-of-two ==== - elapsed time: 0.0254ms (std::chrono Measured) - [ 1 1 1 2 3 3 2 2 1 1 3 2 2 ... 1 2 ] - passed -==== cpu compact without scan, non-power-of-two ==== - elapsed time: 0.0278ms (std::chrono Measured) - [ 1 1 1 2 3 3 2 2 1 1 3 2 2 ... 1 2 ] - passed -==== cpu compact with scan ==== - elapsed time: 0.0428ms (std::chrono Measured) - [ 1 1 1 2 3 3 2 2 1 1 3 2 2 ... 1 2 ] - passed - -7. non-power-of-2: arr size = 1,000,000 - -**************** -** SCAN TESTS ** -**************** - [ 11 46 46 35 44 22 32 39 13 39 12 22 14 ... 5 0 ] -==== cpu scan, power-of-two ==== - elapsed time: 0.4483ms (std::chrono Measured) - [ 0 11 57 103 138 182 204 236 275 288 327 339 361 ... 24484977 24484982 ] -==== cpu scan, non-power-of-two ==== - elapsed time: 0.4603ms (std::chrono Measured) - [ 0 11 57 103 138 182 204 236 275 288 327 339 361 ... 24484907 24484925 ] - passed -==== naive scan, power-of-two ==== - elapsed time: 0.56752ms (CUDA Measured) - passed -==== naive scan, non-power-of-two ==== - elapsed time: 1.10698ms (CUDA Measured) - passed - -***************************** -** STREAM COMPACTION TESTS ** -***************************** - [ 1 0 2 3 2 2 2 3 1 3 2 2 2 ... 1 0 ] -==== cpu compact without scan, power-of-two ==== - elapsed time: 2.5808ms (std::chrono Measured) - [ 1 2 3 2 2 2 3 1 3 2 2 2 3 ... 2 1 ] - passed -==== cpu compact without scan, non-power-of-two ==== - elapsed time: 2.3386ms (std::chrono Measured) - [ 1 2 3 2 2 2 3 1 3 2 2 2 3 ... 3 2 ] - passed -==== cpu compact with scan ==== - elapsed time: 3.7589ms (std::chrono Measured) - [ 1 2 3 2 2 2 3 1 3 2 2 2 3 ... 2 1 ] - passed - - -8. GPU work-efficient scan: arr size = 1 << 8 - -**************** -** SCAN TESTS ** -**************** - [ 44 45 47 1 26 14 41 13 30 19 12 45 18 ... 7 0 ] -==== cpu scan, power-of-two ==== - elapsed time: 0.0004ms (std::chrono Measured) - [ 0 44 89 136 137 163 177 218 231 261 280 292 337 ... 6600 6607 ] -==== cpu scan, non-power-of-two ==== - elapsed time: 0.0002ms (std::chrono Measured) - [ 0 44 89 136 137 163 177 218 231 261 280 292 337 ... 6528 6561 ] - passed -==== naive scan, power-of-two ==== - elapsed time: 0.054272ms (CUDA Measured) - passed -==== naive scan, non-power-of-two ==== - elapsed time: 0.034816ms (CUDA Measured) + elapsed time: 22.8742ms (CUDA Measured) passed ==== work-efficient scan, power-of-two ==== - elapsed time: 5.25005ms (CUDA Measured) + elapsed time: 21.3687ms (CUDA Measured) passed ==== work-efficient scan, non-power-of-two ==== - elapsed time: 0.325696ms (CUDA Measured) - passed - -***************************** -** STREAM COMPACTION TESTS ** -***************************** - [ 2 3 3 3 0 0 3 3 2 1 2 1 0 ... 1 0 ] -==== cpu compact without scan, power-of-two ==== - elapsed time: 0.0074ms (std::chrono Measured) - [ 2 3 3 3 3 3 2 1 2 1 1 1 2 ... 3 1 ] - passed -==== cpu compact without scan, non-power-of-two ==== - elapsed time: 0.0007ms (std::chrono Measured) - [ 2 3 3 3 3 3 2 1 2 1 1 1 2 ... 3 3 ] - passed -==== cpu compact with scan ==== - elapsed time: 0.0009ms (std::chrono Measured) - [ 2 3 3 3 3 3 2 1 2 1 1 1 2 ... 3 1 ] - passed - -9. arr size = 1 << 28 - -**************** -** SCAN TESTS ** -**************** - [ 39 17 23 3 26 20 33 24 41 30 41 31 21 ... 1 0 ] -==== cpu scan, power-of-two ==== - elapsed time: 129.741ms (std::chrono Measured) - [ 0 39 56 79 82 108 128 161 185 226 256 297 328 ... -2015586837 -2015586836 ] -==== cpu scan, non-power-of-two ==== - elapsed time: 127.985ms (std::chrono Measured) - [ 0 39 56 79 82 108 128 161 185 226 256 297 328 ... -2015586885 -2015586869 ] - passed -==== naive scan, power-of-two ==== - elapsed time: 196.371ms (CUDA Measured) - passed -==== naive scan, non-power-of-two ==== - elapsed time: 194.958ms (CUDA Measured) - passed -==== work-efficient scan, power-of-two ==== - elapsed time: 140.183ms (CUDA Measured) - passed -==== work-efficient scan, non-power-of-two ==== - elapsed time: 141.531ms (CUDA Measured) - passed - -***************************** -** STREAM COMPACTION TESTS ** -***************************** - [ 2 0 1 0 0 3 1 1 2 2 2 2 3 ... 2 0 ] -==== cpu compact without scan, power-of-two ==== - elapsed time: 631.703ms (std::chrono Measured) - [ 2 1 3 1 1 2 2 2 2 3 2 2 1 ... 2 2 ] - passed -==== cpu compact without scan, non-power-of-two ==== - elapsed time: 612.56ms (std::chrono Measured) - [ 2 1 3 1 1 2 2 2 2 3 2 2 1 ... 1 2 ] - passed -==== cpu compact with scan ==== - elapsed time: 978.363ms (std::chrono Measured) - [ 2 1 3 1 1 2 2 2 2 3 2 2 1 ... 2 2 ] - passed - - -10. arr size = 10,000 - -**************** -** SCAN TESTS ** -**************** - [ 35 33 18 22 28 2 45 5 29 47 47 39 24 ... 31 0 ] -==== cpu scan, power-of-two ==== - elapsed time: 0.005ms (std::chrono Measured) - [ 0 35 68 86 108 136 138 183 188 217 264 311 350 ... 244314 244345 ] -==== cpu scan, non-power-of-two ==== - elapsed time: 0.0051ms (std::chrono Measured) - [ 0 35 68 86 108 136 138 183 188 217 264 311 350 ... 244242 244254 ] - passed -==== naive scan, power-of-two ==== - elapsed time: 0.123904ms (CUDA Measured) - passed -==== naive scan, non-power-of-two ==== - elapsed time: 0.159744ms (CUDA Measured) - passed -==== work-efficient scan, power-of-two ==== - elapsed time: 0.43008ms (CUDA Measured) - passed -==== work-efficient scan, non-power-of-two ==== - elapsed time: 0.356352ms (CUDA Measured) - passed - -***************************** -** STREAM COMPACTION TESTS ** -***************************** - [ 3 1 2 0 2 2 1 3 3 1 1 3 0 ... 1 0 ] -==== cpu compact without scan, power-of-two ==== - elapsed time: 0.0269ms (std::chrono Measured) - [ 3 1 2 2 2 1 3 3 1 1 3 1 2 ... 1 1 ] - passed -==== cpu compact without scan, non-power-of-two ==== - elapsed time: 0.0237ms (std::chrono Measured) - [ 3 1 2 2 2 1 3 3 1 1 3 1 2 ... 2 3 ] - passed -==== cpu compact with scan ==== - elapsed time: 0.0371ms (std::chrono Measured) - [ 3 1 2 2 2 1 3 3 1 1 3 1 2 ... 1 1 ] - passed - -11. arr size = 1,000,000 - -**************** -** SCAN TESTS ** -**************** - [ 36 32 24 33 40 22 28 16 8 30 44 12 42 ... 7 0 ] -==== cpu scan, power-of-two ==== - elapsed time: 0.4109ms (std::chrono Measured) - [ 0 36 68 92 125 165 187 215 231 239 269 313 325 ... 24478746 24478753 ] -==== cpu scan, non-power-of-two ==== - elapsed time: 0.3959ms (std::chrono Measured) - [ 0 36 68 92 125 165 187 215 231 239 269 313 325 ... 24478683 24478692 ] - passed -==== naive scan, power-of-two ==== - elapsed time: 0.574304ms (CUDA Measured) - passed -==== naive scan, non-power-of-two ==== - elapsed time: 0.59184ms (CUDA Measured) - passed -==== work-efficient scan, power-of-two ==== - elapsed time: 1.01581ms (CUDA Measured) - passed -==== work-efficient scan, non-power-of-two ==== - elapsed time: 0.689152ms (CUDA Measured) - passed - -***************************** -** STREAM COMPACTION TESTS ** -***************************** - [ 0 2 2 1 2 0 2 0 0 0 0 0 2 ... 3 0 ] -==== cpu compact without scan, power-of-two ==== - elapsed time: 2.8841ms (std::chrono Measured) - [ 2 2 1 2 2 2 2 3 1 3 2 1 3 ... 1 3 ] - passed -==== cpu compact without scan, non-power-of-two ==== - elapsed time: 2.5874ms (std::chrono Measured) - [ 2 2 1 2 2 2 2 3 1 3 2 1 3 ... 1 1 ] - passed -==== cpu compact with scan ==== - elapsed time: 3.7957ms (std::chrono Measured) - [ 2 2 1 2 2 2 2 3 1 3 2 1 3 ... 1 3 ] - passed - - -12. GPU work-efficient stream compaction: arr size = 1 << 8 - -**************** -** SCAN TESTS ** -**************** - [ 44 38 20 40 28 0 6 24 16 28 14 18 15 ... 27 0 ] -==== cpu scan, power-of-two ==== - elapsed time: 0.0004ms (std::chrono Measured) - [ 0 44 82 102 142 170 170 176 200 216 244 258 276 ... 6497 6524 ] -==== cpu scan, non-power-of-two ==== - elapsed time: 0.0003ms (std::chrono Measured) - [ 0 44 82 102 142 170 170 176 200 216 244 258 276 ... 6443 6448 ] + elapsed time: 17.9821ms (CUDA Measured) passed -==== naive scan, power-of-two ==== - elapsed time: 0.03584ms (CUDA Measured) - passed -==== naive scan, non-power-of-two ==== - elapsed time: 0.06144ms (CUDA Measured) - passed -==== work-efficient scan, power-of-two ==== - elapsed time: 0.139264ms (CUDA Measured) +==== optimized work-efficient scan, power-of-two ==== + elapsed time: 13.8136ms (CUDA Measured) passed -==== work-efficient scan, non-power-of-two ==== - elapsed time: 0.165888ms (CUDA Measured) +==== optimized work-efficient scan, non-power-of-two ==== + elapsed time: 13.4661ms (CUDA Measured) passed ==== thrust scan, power-of-two ==== - elapsed time: 0.002944ms (CUDA Measured) - a[1] = 44, b[1] = 0 - FAIL VALUE -==== thrust scan, non-power-of-two ==== - elapsed time: 0.004352ms (CUDA Measured) - a[1] = 44, b[1] = 0 - FAIL VALUE - -***************************** -** STREAM COMPACTION TESTS ** -***************************** - [ 0 2 0 2 2 0 2 0 0 0 2 0 1 ... 3 0 ] -==== cpu compact without scan, power-of-two ==== - elapsed time: 0.0088ms (std::chrono Measured) - [ 2 2 2 2 2 1 2 3 1 3 2 1 3 ... 1 3 ] + elapsed time: 1.61328ms (CUDA Measured) passed -==== cpu compact without scan, non-power-of-two ==== - elapsed time: 0.0006ms (std::chrono Measured) - [ 2 2 2 2 2 1 2 3 1 3 2 1 3 ... 3 3 ] - passed -==== cpu compact with scan ==== - elapsed time: 0.0013ms (std::chrono Measured) - [ 2 2 2 2 2 1 2 3 1 3 2 1 3 ... 1 3 ] - passed -==== work-efficient compact, power-of-two ==== - elapsed time: 0.265216ms (CUDA Measured) - passed -==== work-efficient compact, non-power-of-two ==== - elapsed time: 0.18432ms (CUDA Measured) - passed - -13. arr size = 1 << 28 - -**************** -** SCAN TESTS ** -**************** - [ 31 8 39 3 25 18 30 9 8 38 32 33 35 ... 40 0 ] -==== cpu scan, power-of-two ==== - elapsed time: 115.683ms (std::chrono Measured) - [ 0 31 39 78 81 106 124 154 163 171 209 241 274 ... -2016042912 -2016042872 ] -==== cpu scan, non-power-of-two ==== - elapsed time: 117.459ms (std::chrono Measured) - [ 0 31 39 78 81 106 124 154 163 171 209 241 274 ... -2016042942 -2016042934 ] - passed -==== naive scan, power-of-two ==== - elapsed time: 196.181ms (CUDA Measured) - passed -==== naive scan, non-power-of-two ==== - elapsed time: 195.97ms (CUDA Measured) - passed -==== work-efficient scan, power-of-two ==== - elapsed time: 140.868ms (CUDA Measured) - passed -==== work-efficient scan, non-power-of-two ==== - elapsed time: 140.192ms (CUDA Measured) - passed -==== thrust scan, power-of-two ==== - elapsed time: 0.00272ms (CUDA Measured) - a[1] = 31, b[1] = 0 - FAIL VALUE ==== thrust scan, non-power-of-two ==== - elapsed time: 0.003296ms (CUDA Measured) - a[1] = 31, b[1] = 0 - FAIL VALUE - -***************************** -** STREAM COMPACTION TESTS ** -***************************** - [ 1 0 0 1 3 1 1 2 3 0 0 2 0 ... 1 0 ] -==== cpu compact without scan, power-of-two ==== - elapsed time: 611.492ms (std::chrono Measured) - [ 1 1 3 1 1 2 3 2 2 3 2 2 1 ... 3 1 ] - passed -==== cpu compact without scan, non-power-of-two ==== - elapsed time: 605.904ms (std::chrono Measured) - [ 1 1 3 1 1 2 3 2 2 3 2 2 1 ... 2 1 ] - passed -==== cpu compact with scan ==== - elapsed time: 965.131ms (std::chrono Measured) - [ 1 1 3 1 1 2 3 2 2 3 2 2 1 ... 3 1 ] - passed -==== work-efficient compact, power-of-two ==== - elapsed time: 168.418ms (CUDA Measured) - passed -==== work-efficient compact, non-power-of-two ==== - elapsed time: 163.62ms (CUDA Measured) + elapsed time: 1.93814ms (CUDA Measured) passed -14. arr size = 10,000 - -**************** -** SCAN TESTS ** -**************** - [ 11 9 5 19 37 18 43 45 48 43 31 21 13 ... 43 0 ] -==== cpu scan, power-of-two ==== - elapsed time: 0.0055ms (std::chrono Measured) - [ 0 11 20 25 44 81 99 142 187 235 278 309 330 ... 245583 245626 ] -==== cpu scan, non-power-of-two ==== - elapsed time: 0.0035ms (std::chrono Measured) - [ 0 11 20 25 44 81 99 142 187 235 278 309 330 ... 245509 245540 ] - passed -==== naive scan, power-of-two ==== - elapsed time: 0.121856ms (CUDA Measured) - passed -==== naive scan, non-power-of-two ==== - elapsed time: 0.082944ms (CUDA Measured) - passed -==== work-efficient scan, power-of-two ==== - elapsed time: 0.306176ms (CUDA Measured) - passed -==== work-efficient scan, non-power-of-two ==== - elapsed time: 0.283648ms (CUDA Measured) - passed -==== thrust scan, power-of-two ==== - elapsed time: 0.002912ms (CUDA Measured) - a[1] = 11, b[1] = 0 - FAIL VALUE -==== thrust scan, non-power-of-two ==== - elapsed time: 0.00336ms (CUDA Measured) - a[1] = 11, b[1] = 0 - FAIL VALUE ***************************** ** STREAM COMPACTION TESTS ** ***************************** - [ 2 2 3 2 0 0 1 2 1 3 0 1 0 ... 2 0 ] + [ 0 1 1 0 1 1 0 0 3 1 0 0 0 ... 3 0 ] ==== cpu compact without scan, power-of-two ==== - elapsed time: 0.0257ms (std::chrono Measured) - [ 2 2 3 2 1 2 1 3 1 1 3 3 3 ... 3 2 ] + elapsed time: 68.2749ms (std::chrono Measured) + [ 1 1 1 1 3 1 2 3 2 3 2 2 1 ... 1 3 ] passed ==== cpu compact without scan, non-power-of-two ==== - elapsed time: 0.2444ms (std::chrono Measured) - [ 2 2 3 2 1 2 1 3 1 1 3 3 3 ... 2 3 ] + elapsed time: 68.3939ms (std::chrono Measured) + [ 1 1 1 1 3 1 2 3 2 3 2 2 1 ... 3 2 ] passed ==== cpu compact with scan ==== - elapsed time: 0.0399ms (std::chrono Measured) - [ 2 2 3 2 1 2 1 3 1 1 3 3 3 ... 3 2 ] + elapsed time: 117.265ms (std::chrono Measured) + [ 1 1 1 1 3 1 2 3 2 3 2 2 1 ... 1 3 ] passed ==== work-efficient compact, power-of-two ==== - elapsed time: 0.258048ms (CUDA Measured) + elapsed time: 19.442ms (CUDA Measured) passed ==== work-efficient compact, non-power-of-two ==== - elapsed time: 0.31232ms (CUDA Measured) + elapsed time: 18.6701ms (CUDA Measured) passed +``` -15. arr size = 1,000,000 +## Performance Analysis -**************** -** SCAN TESTS ** -**************** - [ 4 19 46 28 26 36 18 17 44 22 24 9 34 ... 5 0 ] -==== cpu scan, power-of-two ==== - elapsed time: 0.4287ms (std::chrono Measured) - [ 0 4 23 69 97 123 159 177 194 238 260 284 293 ... 24491262 24491267 ] -==== cpu scan, non-power-of-two ==== - elapsed time: 0.5807ms (std::chrono Measured) - [ 0 4 23 69 97 123 159 177 194 238 260 284 293 ... 24491225 24491242 ] - passed -==== naive scan, power-of-two ==== - elapsed time: 0.566336ms (CUDA Measured) - passed -==== naive scan, non-power-of-two ==== - elapsed time: 0.72272ms (CUDA Measured) - passed -==== work-efficient scan, power-of-two ==== - elapsed time: 0.731136ms (CUDA Measured) - passed -==== work-efficient scan, non-power-of-two ==== - elapsed time: 0.833536ms (CUDA Measured) - passed -==== thrust scan, power-of-two ==== - elapsed time: 0.004448ms (CUDA Measured) - a[1] = 4, b[1] = 0 - FAIL VALUE -==== thrust scan, non-power-of-two ==== - elapsed time: 0.005696ms (CUDA Measured) - a[1] = 4, b[1] = 0 - FAIL VALUE +### 1. Preliminary runs of non-optimized CPU vs GPU scan implementations +Test case configuration: default block size = 128, array size = [1024, 228]. 3 runs for each array size and plotting using their averages. -***************************** -** STREAM COMPACTION TESTS ** -***************************** - [ 2 3 2 0 2 2 0 1 0 0 0 3 0 ... 3 0 ] -==== cpu compact without scan, power-of-two ==== - elapsed time: 2.6299ms (std::chrono Measured) - [ 2 3 2 2 2 1 3 1 2 1 2 3 1 ... 2 3 ] - passed -==== cpu compact without scan, non-power-of-two ==== - elapsed time: 2.6916ms (std::chrono Measured) - [ 2 3 2 2 2 1 3 1 2 1 2 3 1 ... 3 2 ] - passed -==== cpu compact with scan ==== - elapsed time: 3.7679ms (std::chrono Measured) - [ 2 3 2 2 2 1 3 1 2 1 2 3 1 ... 2 3 ] - passed -==== work-efficient compact, power-of-two ==== - elapsed time: 0.99248ms (CUDA Measured) - passed -==== work-efficient compact, non-power-of-two ==== - elapsed time: 0.84928ms (CUDA Measured) - passed +![Figure 1](img/results/cpu_gpu_efficient_comparison.png) +*Figure 1: Runtime vs Array Size for CPU and GPU Efficient Scan* -16. Thrust scan: arr size = 1 << 8 +If just implementing the GPU scan version following the described algorithm above, my "efficient" GPU scan is actually not that efficient -- it is even slower than the cpu approach. From the graph we can see that only when the data size is larger than `~5K` (222) did the GPU approach start to show a slight advantage over CPU scan in terms of the runtime. Nevertheless, the small advantage can be trivial. -**************** -** SCAN TESTS ** -**************** - [ 40 24 11 48 47 39 48 35 20 17 21 11 16 ... 31 0 ] -==== cpu scan, power-of-two ==== - elapsed time: 0.0005ms (std::chrono Measured) - [ 0 40 64 75 123 170 209 257 292 312 329 350 361 ... 6620 6651 ] -==== cpu scan, non-power-of-two ==== - elapsed time: 0.0003ms (std::chrono Measured) - [ 0 40 64 75 123 170 209 257 292 312 329 350 361 ... 6566 6610 ] - passed -==== naive scan, power-of-two ==== - elapsed time: 0.055296ms (CUDA Measured) - passed -==== naive scan, non-power-of-two ==== - elapsed time: 0.054272ms (CUDA Measured) - passed -==== work-efficient scan, power-of-two ==== - elapsed time: 0.14848ms (CUDA Measured) - passed -==== work-efficient scan, non-power-of-two ==== - elapsed time: 0.157696ms (CUDA Measured) - passed -==== thrust scan, power-of-two ==== - elapsed time: 0.472064ms (CUDA Measured) - passed -==== thrust scan, non-power-of-two ==== - elapsed time: 0.031744ms (CUDA Measured) - passed +There can be multiple reasons behind this phenomenon. A major one relates to warp partitioning. In the Up-sweep and Down-sweep phases of the original GPU work-efficient scan, the way we write in the data, i.e. dividing in half/ doubling the number of active threads through array indexing, causes warp divergence (Figure 2). The occupancy is high (active warps / maximum warps available) yet not all threads in each warp are performing some work. To optimize this approach, we partition threads based on consecutive increasing `threadIdx` such that we minimize divergent branches and retire unused warps early. Retired warps can then be scheduled to run something else, thus better hardware utilization and hiding latency. -***************************** -** STREAM COMPACTION TESTS ** -***************************** - [ 0 0 1 2 1 3 0 1 0 1 3 3 0 ... 3 0 ] -==== cpu compact without scan, power-of-two ==== - elapsed time: 0.0007ms (std::chrono Measured) - [ 1 2 1 3 1 1 3 3 3 2 3 3 3 ... 3 3 ] - passed -==== cpu compact without scan, non-power-of-two ==== - elapsed time: 0.0006ms (std::chrono Measured) - [ 1 2 1 3 1 1 3 3 3 2 3 3 3 ... 3 3 ] - passed -==== cpu compact with scan ==== - elapsed time: 0.0011ms (std::chrono Measured) - [ 1 2 1 3 1 1 3 3 3 2 3 3 3 ... 3 3 ] - passed -==== work-efficient compact, power-of-two ==== - elapsed time: 0.188416ms (CUDA Measured) - passed -==== work-efficient compact, non-power-of-two ==== - elapsed time: 0.185344ms (CUDA Measured) - passed +![Figure 2](img/results/warp_divergence_diagram.png) +*Figure 2: Left is the original parallel reduction (up-sweep) algorithm. Right is a reworked algorithm. In the 1st pass, the original method leads to 4 divergent warps while the tweaked implementation has no divergence. Instead, the reworked method retires 2 warps early. For easy understanding and illustration purposes, we assume warp size = 2 here.* -17. arr size = 1 << 28 +Instead of doing the indexing below during up-sweep (similar for down-sweep), -**************** -** SCAN TESTS ** -**************** - [ 16 21 38 16 47 46 13 20 29 2 48 15 48 ... 22 0 ] -==== cpu scan, power-of-two ==== - elapsed time: 126.438ms (std::chrono Measured) - [ 0 16 37 75 91 138 184 197 217 246 248 296 311 ... -2015557726 -2015557704 ] -==== cpu scan, non-power-of-two ==== - elapsed time: 133.342ms (std::chrono Measured) - [ 0 16 37 75 91 138 184 197 217 246 248 296 311 ... -2015557816 -2015557801 ] - passed -==== naive scan, power-of-two ==== - elapsed time: 197.473ms (CUDA Measured) - passed -==== naive scan, non-power-of-two ==== - elapsed time: 196.16ms (CUDA Measured) - passed -==== work-efficient scan, power-of-two ==== - elapsed time: 140.688ms (CUDA Measured) - passed -==== work-efficient scan, non-power-of-two ==== - elapsed time: 140.298ms (CUDA Measured) - passed -==== thrust scan, power-of-two ==== - elapsed time: 7.34115ms (CUDA Measured) - passed -==== thrust scan, non-power-of-two ==== - elapsed time: 7.69514ms (CUDA Measured) - passed +``` +for (int stride = 1; stride < blockDim.x; stride *= 2) { + if (t % (2 * stride) == 0) + partialSum[t] += partialSum[t + stride]; +} +// stride = 1, 2, 4, ... +``` +we can change the condition to determine which thread we should write or not like this: +``` +for (int stride = blockDim.x / 2; stride > 0; stride /= 2) { + if (t < stride) + partialSum[t] += partialSum[t + stride]; +} +// stride = ... 4, 2, 1 +``` -***************************** -** STREAM COMPACTION TESTS ** -***************************** - [ 0 0 3 0 3 2 0 3 0 1 1 0 3 ... 0 0 ] -==== cpu compact without scan, power-of-two ==== - elapsed time: 610.962ms (std::chrono Measured) - [ 3 3 2 3 1 1 3 2 3 2 2 3 2 ... 3 1 ] - passed -==== cpu compact without scan, non-power-of-two ==== - elapsed time: 618.107ms (std::chrono Measured) - [ 3 3 2 3 1 1 3 2 3 2 2 3 2 ... 3 1 ] - passed -==== cpu compact with scan ==== - elapsed time: 960.001ms (std::chrono Measured) - [ 3 3 2 3 1 1 3 2 3 2 2 3 2 ... 3 1 ] - passed -==== work-efficient compact, power-of-two ==== - elapsed time: 165.221ms (CUDA Measured) - passed -==== work-efficient compact, non-power-of-two ==== - elapsed time: 164.069ms (CUDA Measured) - passed +In addition, we no longer need to check `modulo %`, which is an expensive operation that can take 100s of cycle/ up to 20 instructions on GPU. Less-than is considerably faster. **Theoretically speaking**, by changing some index calculation hacks we can then achieve a significant performance boost. **However, my attempt to optimize indexing (for part 5 extra credit) seems failed because my reworked implementation is even slower than the non-optimized (tested with data size = [217, 228]). Due to time constraint, I couldn't confirm why but it is likely that I did not do my math correctly. Therefore, for the rest of the performance analysis although I have included optimized GPU efficient implementation, I will not put much weight on it because of accuracy.** -18. arr size = 10,000 +### 2. Block size optimization for minimal runtime -**************** -** SCAN TESTS ** -**************** - [ 14 0 27 19 22 16 33 23 8 1 8 13 16 ... 28 0 ] -==== cpu scan, power-of-two ==== - elapsed time: 0.006ms (std::chrono Measured) - [ 0 14 14 41 60 82 98 131 154 162 163 171 184 ... 244406 244434 ] -==== cpu scan, non-power-of-two ==== - elapsed time: 0.0041ms (std::chrono Measured) - [ 0 14 14 41 60 82 98 131 154 162 163 171 184 ... 244338 244351 ] - passed -==== naive scan, power-of-two ==== - elapsed time: 0.146432ms (CUDA Measured) - passed -==== naive scan, non-power-of-two ==== - elapsed time: 0.094208ms (CUDA Measured) - passed -==== work-efficient scan, power-of-two ==== - elapsed time: 0.26112ms (CUDA Measured) - passed -==== work-efficient scan, non-power-of-two ==== - elapsed time: 0.29184ms (CUDA Measured) - passed -==== thrust scan, power-of-two ==== - elapsed time: 0.103424ms (CUDA Measured) - passed -==== thrust scan, non-power-of-two ==== - elapsed time: 0.069632ms (CUDA Measured) - passed - -***************************** -** STREAM COMPACTION TESTS ** -***************************** - [ 2 0 3 1 1 2 3 2 3 1 0 3 1 ... 1 0 ] -==== cpu compact without scan, power-of-two ==== - elapsed time: 0.0325ms (std::chrono Measured) - [ 2 3 1 1 2 3 2 3 1 3 1 3 2 ... 3 1 ] - passed -==== cpu compact without scan, non-power-of-two ==== - elapsed time: 0.027ms (std::chrono Measured) - [ 2 3 1 1 2 3 2 3 1 3 1 3 2 ... 2 3 ] - passed -==== cpu compact with scan ==== - elapsed time: 0.0386ms (std::chrono Measured) - [ 2 3 1 1 2 3 2 3 1 3 1 3 2 ... 3 1 ] - passed -==== work-efficient compact, power-of-two ==== - elapsed time: 0.282624ms (CUDA Measured) - passed -==== work-efficient compact, non-power-of-two ==== - elapsed time: 0.372736ms (CUDA Measured) - passed +Test case configuration: power-of-two array size = **225 (33,554,432)**, non-power-of-tow array size = (array size - 3), 3 runs for each array size and plotting using their averages. +![Figure 3](img/results/gpu_blocksize_comparison.png) -19. arr size = 1,000,000 +*Figure 3: Runtime vs Block Size (multiples of 32) for GPU Efficient Scan and Stream Compaction* -**************** -** SCAN TESTS ** -**************** - [ 38 5 38 21 10 41 2 40 6 0 37 37 43 ... 21 0 ] -==== cpu scan, power-of-two ==== - elapsed time: 0.4576ms (std::chrono Measured) - [ 0 38 43 81 102 112 153 155 195 201 201 238 275 ... 24455654 24455675 ] -==== cpu scan, non-power-of-two ==== - elapsed time: 0.4375ms (std::chrono Measured) - [ 0 38 43 81 102 112 153 155 195 201 201 238 275 ... 24455578 24455579 ] - passed -==== naive scan, power-of-two ==== - elapsed time: 0.705472ms (CUDA Measured) - passed -==== naive scan, non-power-of-two ==== - elapsed time: 0.573632ms (CUDA Measured) - passed -==== work-efficient scan, power-of-two ==== - elapsed time: 0.720896ms (CUDA Measured) - passed -==== work-efficient scan, non-power-of-two ==== - elapsed time: 0.709632ms (CUDA Measured) - passed -==== thrust scan, power-of-two ==== - elapsed time: 0.574208ms (CUDA Measured) - passed -==== thrust scan, non-power-of-two ==== - elapsed time: 0.607904ms (CUDA Measured) - passed +For GPU scan, the optimal block size was **128** for the naive, **256** for unoptimized work-efficient, and **512** (teeny-tiny faster than 256) for optimized work-efficient implementations. For GPU stream compaction, it was also at block size = **256** that the non-optimized work-efficient algorithm has the best performance. It is worth noting that from increasing block size past 256 (512 for optimized efficient scan), there seems no performance gain and in fact, the application starts to slow down quite much. This is well-founded because when too big a block size leads to a lower occupancy of the multiprocessor, it is a BAD approach. Remeber increasing number of threads also heavily affects throughput and available resource, e.g. number of registers each thread will use. -***************************** -** STREAM COMPACTION TESTS ** -***************************** - [ 2 3 2 3 0 3 0 0 0 2 3 1 3 ... 1 0 ] -==== cpu compact without scan, power-of-two ==== - elapsed time: 2.52ms (std::chrono Measured) - [ 2 3 2 3 3 2 3 1 3 1 3 1 1 ... 2 1 ] - passed -==== cpu compact without scan, non-power-of-two ==== - elapsed time: 2.7359ms (std::chrono Measured) - [ 2 3 2 3 3 2 3 1 3 1 3 1 1 ... 3 3 ] - passed -==== cpu compact with scan ==== - elapsed time: 4.4376ms (std::chrono Measured) - [ 2 3 2 3 3 2 3 1 3 1 3 1 1 ... 2 1 ] - passed -==== work-efficient compact, power-of-two ==== - elapsed time: 1.00077ms (CUDA Measured) - passed -==== work-efficient compact, non-power-of-two ==== - elapsed time: 1.06157ms (CUDA Measured) - passed \ No newline at end of file diff --git a/img/results/cpu_gpu_efficient_comparison.png 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z(`()%C`k=0jYJ$jo(Xd0Ehr_4?j;y`%0{6-_OL^#CEDs@9WUhl&OHaWEhVd*&=l7( vUsk{N57{U^TM?M8wDw>_)CiLi7z>KFW(tpfj@Os?b~I_@X&t)g8HQ* literal 0 HcmV?d00001 diff --git a/src/main.cpp b/src/main.cpp index cd98eed..aa794f5 100644 --- a/src/main.cpp +++ b/src/main.cpp @@ -13,7 +13,7 @@ #include #include "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 // 28 = 268435456 //const int SIZE = 1000000; @@ -79,10 +79,26 @@ int main(int argc, char* argv[]) { zeroArray(SIZE, c); printDesc("work-efficient scan, non-power-of-two"); - StreamCompaction::Efficient::scan(NPOT, c, a); + StreamCompaction::Efficient::scan(SIZE, c, a); + printElapsedTime(StreamCompaction::Efficient::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); + //printArray(NPOT, c, true); + printCmpResult(NPOT, b, c); + +#if OPTIMIZE + zeroArray(SIZE, c); + printDesc("optimized work-efficient scan, power-of-two"); + StreamCompaction::Efficient::scanOptimized(SIZE, c, a); + printElapsedTime(StreamCompaction::Efficient::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); + //printArray(SIZE, c, true); + printCmpResult(SIZE, b, c); + + zeroArray(SIZE, c); + printDesc("optimized work-efficient scan, non-power-of-two"); + StreamCompaction::Efficient::scanOptimized(SIZE, c, a); printElapsedTime(StreamCompaction::Efficient::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); //printArray(NPOT, c, true); printCmpResult(NPOT, b, c); +#endif zeroArray(SIZE, c); printDesc("thrust scan, power-of-two"); diff --git a/stream_compaction/common.h b/stream_compaction/common.h index 95f9a11..0edd1cb 100644 --- a/stream_compaction/common.h +++ b/stream_compaction/common.h @@ -14,6 +14,7 @@ #define checkCUDAError(msg) checkCUDAErrorFn(msg, FILENAME, __LINE__) #define blockSize 512 +#define OPTIMIZE 1 /** * Check for CUDA errors; print and exit if there was a problem. diff --git a/stream_compaction/efficient.cu b/stream_compaction/efficient.cu index 496aa88..b5f2f23 100644 --- a/stream_compaction/efficient.cu +++ b/stream_compaction/efficient.cu @@ -27,6 +27,19 @@ namespace StreamCompaction { } } + __global__ void kernUpSweepOptimized(int n, int d, int stride, int* data) { + int index = blockIdx.x * blockDim.x + threadIdx.x; + if (index >= n) { + return; + } + + int offset = 1 << d; + if (index < stride) { + data[(index * 2 + 2) * offset - 1] += + data[(index * 2 + 1) * offset - 1]; + } + } + // Performs ONE iteration of down sweep __global__ void kernDownSweep(int n, int d, int *data) { int index = blockIdx.x * blockDim.x + threadIdx.x; @@ -37,10 +50,26 @@ namespace StreamCompaction { int offset1 = 1 << d; int offset2 = 1 << (1 + d); if (index % offset2 == 0) { - int left = data[index + offset1 - 1]; // Save left child - data[index + offset1 - 1] = data[index + offset2 - 1]; // Set left child to this node’s value - data[index + offset2 - 1] += left; // Set right child to old left value + - // this node’s value + int left = data[index + offset1 - 1]; // Save left child + data[index + offset1 - 1] = data[index + offset2 - 1]; // Set left child to this node’s value + data[index + offset2 - 1] += left; // Set right child to old left value + + // this node’s value + } + } + + __global__ void kernDownSweepOptimized(int n, int d, int stride, int* data) { + int index = blockIdx.x * blockDim.x + threadIdx.x; + if (index >= n) { + return; + } + + int offset1 = (index * 2 + 1) * stride - 1; + int offset2 = (index * 2 + 2) * stride - 1; + if (index < d) { + int left = data[offset1]; // Save left child + data[offset1] = data[offset2]; // Set left child to this node’s value + data[offset2] += left; // Set right child to old left value + + // this node’s value } } @@ -68,12 +97,13 @@ namespace StreamCompaction { timer().startGpuTimer(); // Up Sweep - for (int d = 0; d <= power2-1; ++d) { - kernUpSweep <<>> (chunk, d, dev_buf); + for (int d = 0; d <= power2 - 1; ++d) { + kernUpSweep << > > (chunk, d, dev_buf); //checkCUDAError("kernUpSweep failed!"); } // Down Sweep + cudaDeviceSynchronize(); cudaMemset(dev_buf + chunk - 1, 0, sizeof(int)); // set root to zero //checkCUDAError("cudaMemset dev_buf[chunk-1] failed!"); @@ -88,6 +118,50 @@ namespace StreamCompaction { cudaFree(dev_buf); } + void scanOptimized(int n, int* odata, const int* idata) { + int* dev_buf; + + int power2 = ilog2ceil(n); + int chunk = 1 << power2; + + dim3 blocksPerGrid((chunk + blockSize - 1) / blockSize); + size_t arrSize = n * sizeof(int); + + cudaMalloc((void**)&dev_buf, chunk * sizeof(int)); + //checkCUDAError("cudaMalloc dev_buf failed!"); + + cudaMemcpy(dev_buf, idata, arrSize, cudaMemcpyHostToDevice); + //checkCUDAError("cudaMemcpy idata to dev_buf failed!"); + if (chunk > n) { + cudaMemset(dev_buf + n, 0, (chunk - n) * sizeof(int)); + //checkCUDAError("cudaMemset dev_buf[n] failed!"); + } + + timer().startGpuTimer(); + // Up Sweep + int stride = chunk >> 1; + for (int d = 0; d <= power2 - 1; ++d) { + kernUpSweepOptimized << > > (chunk, d, stride, dev_buf); + stride >>= 1; + } + + // Down Sweep + cudaDeviceSynchronize(); + cudaMemset(dev_buf + chunk - 1, 0, sizeof(int)); // set root to zero + //checkCUDAError("cudaMemset dev_buf[chunk-1] failed!"); + + stride = chunk >> 1; + for (int d = 1; d < chunk; d <<= 1) { + kernDownSweepOptimized << > > (chunk, d, stride, dev_buf); + stride >>= 1; + } + timer().endGpuTimer(); + + cudaMemcpy(odata, dev_buf, arrSize, cudaMemcpyDeviceToHost); + //checkCUDAError("cudaMemcpy odata failed!"); + cudaFree(dev_buf); + } + /** * Performs stream compaction on idata, storing the result into odata. * All zeroes are discarded. diff --git a/stream_compaction/efficient.h b/stream_compaction/efficient.h index 803cb4f..bc8bb2c 100644 --- a/stream_compaction/efficient.h +++ b/stream_compaction/efficient.h @@ -7,6 +7,7 @@ namespace StreamCompaction { StreamCompaction::Common::PerformanceTimer& timer(); void scan(int n, int *odata, const int *idata); + void scanOptimized(int n, int* odata, const int* idata); int compact(int n, int *odata, const int *idata); } From 585665c115a8a987aaaf159bf5f75526f6f4f4d3 Mon Sep 17 00:00:00 2001 From: Linda Zhu Date: Tue, 19 Sep 2023 23:58:36 -0400 Subject: [PATCH 6/8] update README --- README.md | 91 +++++++++++++++++- img/cpu_scan.png | Bin 0 -> 20459 bytes img/downsweep.png | Bin 0 -> 344552 bytes img/naive_gpu_scan.png | Bin 0 -> 61576 bytes img/results/gpu_blocksize_comparison.png | Bin 105045 -> 79660 bytes img/results/scan_arraysize_comparison.png | Bin 0 -> 73036 bytes .../scan_arraysize_comparison_nonpow2.png | Bin 0 -> 73163 bytes img/stream_compaction.png | Bin 0 -> 6723 bytes img/upsweep.png | Bin 0 -> 159246 bytes src/main.cpp | 2 +- stream_compaction/common.h | 2 +- 11 files changed, 89 insertions(+), 6 deletions(-) create mode 100644 img/cpu_scan.png create mode 100644 img/downsweep.png create mode 100644 img/naive_gpu_scan.png create mode 100644 img/results/scan_arraysize_comparison.png create mode 100644 img/results/scan_arraysize_comparison_nonpow2.png create mode 100644 img/stream_compaction.png create mode 100644 img/upsweep.png diff --git a/README.md b/README.md index c8fe922..1302ea1 100644 --- a/README.md +++ b/README.md @@ -1,4 +1,4 @@ -CUDA Stream Compaction +CUDA Scan and Stream Compaction ====================== **University of Pennsylvania, CIS 565: GPU Programming and Architecture, Project 2** @@ -6,9 +6,67 @@ CUDA Stream Compaction * Linda Zhu * Tested on: Windows 11, i7-12800H @ 2.40GHz 16GB, NVIDIA GeForce RTX 3070 Ti (Personal Laptop) +## Overview +In this project, I implemented GPU scan and stream compaction in CUDA, from scratch, to simply remove 0s from an array of ints. Specifically, I implemented a few different versions of the Scan (Prefix Sum) algorithm (see the list below). I also used the CPU scan and GPU work-efficient scan to implement GPU stream compaction (). This project builds the foundation of how to remove early-terminated paths from an array of rays in a path tracer. In addition, it helps to reorient your algorithmic thinking to the way how GPU works. On GPUs, many algorithms can benefit from massive parallelism and, in particular, data parallelism: executing the same code many times simultaneously with different data. + +Featuring: + * CPU scan/compact (for GPU comparison) + * GPU naĂ¯ve parallel scan/compact + * GPU work-efficient scan/compact + * Thrust scan (for GPU comparison) + * GPU work-efficient scan optimization (extra credit) + +## Descriptions + +### CPU Scan +Use a for loop to compute an exclusive prefix sum. + +![](img/cpu_scan.png) + +Number of adds: O(n) + +### Naive Parallel Scan +Use double-buffer to scan two array. First do exclusive scan, then do shift right to get inclusive scan array. + + + +Number of add: O(nlog2(n)) + +### Work-Efficient Parallel Scan + +#### Step 1. Up-Sweep (Reduction) Phase: +We first traverse the tree from leaves to the root computing partial sums at internal nodes of the tree. +![](img/upsweep.png) + + +#### Step 2. Down-Sweep Phase: +Then we traverse back down the tree from the root, using the partial sums from the reduce phase to build the scan in place on the array. We start by inserting zero at the root of the tree, and on each step, each node at the current level passes its own value to its left child, and the sum of its value and the former value of its left child to its right child. +![](img/downsweep.png) + +#### Step 3. Finally we convert this exclusive scan to an inclusive scan and output the result. + +Up-Sweep: Really n – 1 adds + +Down-Sweep: Really n -1 adds and n -1 swaps + + +### Thrust's Implementation + +We simply wrap a call to the Thrust library function thrust::exclusive_scan(first, last, result). + +### Stream Compation +![](img/stream_compaction.png) + +The goal of stream compaction is that, given an array of elements, we create a new array with elements that meet a certain criteria, e.g. non null and preserve order. It's used in path tracing, collision detection, sparse matrix compression, etc. + +* Step 1: Compute temporary array +* Step 2: Run exclusive scan on temporary array +* Step 3: Scatter + + ## Results Test case configuration: block size = 512, array size = 225 -I added 2 corner cases for my optimized GPU efficient scan in the printouts with the label "optimized work-efficient scan ...". +I added 2 corner cases for my optimized GPU efficient scan in the output with the label "optimized work-efficient scan ...". ``` **************** @@ -107,7 +165,7 @@ for (int stride = blockDim.x / 2; stride > 0; stride /= 2) { // stride = ... 4, 2, 1 ``` -In addition, we no longer need to check `modulo %`, which is an expensive operation that can take 100s of cycle/ up to 20 instructions on GPU. Less-than is considerably faster. **Theoretically speaking**, by changing some index calculation hacks we can then achieve a significant performance boost. **However, my attempt to optimize indexing (for part 5 extra credit) seems failed because my reworked implementation is even slower than the non-optimized (tested with data size = [217, 228]). Due to time constraint, I couldn't confirm why but it is likely that I did not do my math correctly. Therefore, for the rest of the performance analysis although I have included optimized GPU efficient implementation, I will not put much weight on it because of accuracy.** +In addition, we no longer need to check `modulo %`, which is an expensive operation that can take 100s of cycle/ up to 20 instructions on GPU. Less-than is considerably faster. **Theoretically speaking**, by changing some index calculation hacks we can then achieve a significant performance boost. **However, my attempt to optimize indexing (for part 5 extra credit) seems unstable because my reworked implementation was even slower than the non-optimized, mostly when the data size is below 222. Due to time constraint, I couldn't confirm why this happens from time to time. Therefore, for the rest of the performance analysis although I have included sample outputs of the optimized GPU efficient implementation, I will not put much weight on its accuracy because of unreliability.** ### 2. Block size optimization for minimal runtime @@ -118,5 +176,30 @@ Test case configuration: power-of-two array size = **225 (33,554,432) *Figure 3: Runtime vs Block Size (multiples of 32) for GPU Efficient Scan and Stream Compaction* -For GPU scan, the optimal block size was **128** for the naive, **256** for unoptimized work-efficient, and **512** (teeny-tiny faster than 256) for optimized work-efficient implementations. For GPU stream compaction, it was also at block size = **256** that the non-optimized work-efficient algorithm has the best performance. It is worth noting that from increasing block size past 256 (512 for optimized efficient scan), there seems no performance gain and in fact, the application starts to slow down quite much. This is well-founded because when too big a block size leads to a lower occupancy of the multiprocessor, it is a BAD approach. Remeber increasing number of threads also heavily affects throughput and available resource, e.g. number of registers each thread will use. +For GPU scan, the optimal block size was **128** for the naive, **256** for unoptimized work-efficient, and **256/512** (512 is faster than 256 by a teeny-tiny bit) for optimized work-efficient implementations. For GPU stream compaction, it was also at block size = **256** that the non-optimized work-efficient algorithm has the best performance. It is worth noting that from increasing block size past 256 (512 for optimized efficient scan), there seems no performance gain and in fact, the application starts to slow down quite much. This is well-founded because when too big a block size leads to a lower occupancy of the multiprocessor, it is a BAD approach. Remeber increasing number of threads also heavily affects throughput and available resource, e.g. number of registers each thread will use. These preliminary runs of different block size helped me decide I should use block size = 256 for the GPU vs CPU Scan algorithm comparison below for optimal performance. + + +### 3. All GPU Scan (Naive, Work-Efficient and Thrust) vs serial CPU Scan Comparison +Test case configuration: block size = 256, array size = [217 (131,072), 228 (268,435,456)] + + + + +*Figure 4 & 5: Runtime vs Array Size in both power of 2 and non-power of 2 for all the Scan algorithms* + +As can be seen in Figure 4 & 5, the runtime of the scan algorithm increases smoonthly for each of the implementation when the array size is smaller than **220** and peaks steeply past **225**. The Thrust library version was always the best and outperforms the other implementations by at maximum **30x** faster. In all test cases, the Thrust version maintains a runtime below 10ms, which is reasonable because it is a highly optimized GPU parallel algorithm library that is developed for high performance applications. To guess at what might be happening inside the Thrust implementation (e.g. allocation, memory copy), refer to the analysis down below where I used Nsight Timeline for its execution. + +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 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 optimized efficient parallel scan, and 30x slower than the thrust library implementation. This is likely 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. + +## References +* UPenn CIS5650 [Slides on Parallel Algorithms](https://docs.google.com/presentation/d/1ETVONA7QDM-WqsEj4qVOGD6Kura5I6E9yqH-7krnwZ0/edit#slide=id.p126) + for Scan, Stream Compaction, and Work-Efficient Parallel Scan. +* GPU Gems 3, Chapter 39 - [Parallel Prefix Sum (Scan) with CUDA](https://developer.nvidia.com/gpugems/GPUGems3/gpugems3_ch39.html). + - This online version contains a few small errors (in superscripting, missing braces, bad indentation, etc.) + - We maintain a fix for this at [GPU Gem 3 Ch 39 Patch](https://github.com/CIS565-Fall-2017/Project2-Stream-Compaction/blob/master/INSTRUCTION.md#gpu-gem-3-ch-39-patch). If you find more errors in the chapter, welcome to open new pull requests to contribute. +* UPenn CIS5650 Project 2 [Recitation slides](https://docs.google.com/presentation/d/1daOnWHOjMp1sIqMdVsNnvEU1UYynKcEMARc_W6bGnqE/edit?usp=sharing) diff --git a/img/cpu_scan.png b/img/cpu_scan.png new file mode 100644 index 0000000000000000000000000000000000000000..5128ff6670683cefff939c2b63ae6ec4b9fb5a86 GIT binary patch literal 20459 zcmd43cR1VO|2L}DR$E24qIOZcjiR=e+N)+$t7`Aso2u5R6*DzL)h2`(u_9G1A%q&S zrD_Y(B2poowBO(JoO3n_Q{v$fN`c%dvyR)?4FTBzM z`q9x{_5b^IYTk)En2yfywYK^r(_ovexv1dV;}OK)$9{$T%^@ycqt_*j(to^&Z0kXv zy2)pB&!;Zt%{A}G(6JZaUe(Ays`0BCPULx^=B93c{nUF#jV0f#bJdYNz9t~QE@aV_ zN;q?Tzy?oDT31~%6M_4@M@RE7azTz%ZU3KbEb zb!1;?jdg@>7MlkGTpD6xg#uN*2a6ik4|=hmw3%I<6j%2F172002{sC%P#yY2g zAFF;|Rw>k3IVG{X6e+~*#W6323?u1&Seoq|IJ1Q)cd&e0iSR1ilkG?`>H)4BF z2)6(skt0?+2JF$$D#Dp66JWDrrrC|`so#se%P}mn=Yl zl2THpqb#O;x602uJmCZB&#TJhfSJZqR9D`qYVdTwBw`f zflBptmvhffppU9oFh>Ww%e%Hm9kZMRNQ>qDA=0aT 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--git a/stream_compaction/common.h b/stream_compaction/common.h index 0edd1cb..a3da057 100644 --- a/stream_compaction/common.h +++ b/stream_compaction/common.h @@ -13,7 +13,7 @@ #define FILENAME (strrchr(__FILE__, '/') ? strrchr(__FILE__, '/') + 1 : __FILE__) #define checkCUDAError(msg) checkCUDAErrorFn(msg, FILENAME, __LINE__) -#define blockSize 512 +#define blockSize 256 #define OPTIMIZE 1 /** From c455ecb369f7fc43d8f82aea21488ad06a24e297 Mon Sep 17 00:00:00 2001 From: Linda Zhu Date: Wed, 20 Sep 2023 01:27:06 -0400 Subject: [PATCH 7/8] finish nsight tooling --- README.md | 32 +++++++++++++++++++++----------- img/results/nsight_timeline.png | Bin 0 -> 341085 bytes src/main.cpp | 2 +- 3 files changed, 22 insertions(+), 12 deletions(-) create mode 100644 img/results/nsight_timeline.png diff --git a/README.md b/README.md index 1302ea1..33aa85b 100644 --- a/README.md +++ b/README.md @@ -7,7 +7,7 @@ CUDA Scan and Stream Compaction * Tested on: Windows 11, i7-12800H @ 2.40GHz 16GB, NVIDIA GeForce RTX 3070 Ti (Personal Laptop) ## Overview -In this project, I implemented GPU scan and stream compaction in CUDA, from scratch, to simply remove 0s from an array of ints. Specifically, I implemented a few different versions of the Scan (Prefix Sum) algorithm (see the list below). I also used the CPU scan and GPU work-efficient scan to implement GPU stream compaction (). This project builds the foundation of how to remove early-terminated paths from an array of rays in a path tracer. In addition, it helps to reorient your algorithmic thinking to the way how GPU works. On GPUs, many algorithms can benefit from massive parallelism and, in particular, data parallelism: executing the same code many times simultaneously with different data. +In this project, I implemented a few different versions of the Scan (Prefix Sum) algorithm in CUDA from scratch (see the list below), and used the CPU scan and GPU work-efficient scan to implement GPU stream compaction that simply removes 0s from an array of ints. This project builds the foundation of culling early-terminated paths from an array of rays in a path tracer. It also helps to reorient your algorithmic thinking to the way how GPU works because n GPUs, many algorithms can benefit from massive parallelism and, in particular, data parallelism: executing the same code many times simultaneously with different data. Featuring: * CPU scan/compact (for GPU comparison) @@ -30,7 +30,7 @@ Use double-buffer to scan two array. First do exclusive scan, then do shift righ -Number of add: O(nlog2(n)) +NaĂ¯ve Parallel Scan needs O(nlog2(n)) passes. Each pass is O(n), but really is less in practice, e.g., because of early warp retirement. ### Work-Efficient Parallel Scan @@ -47,7 +47,7 @@ Then we traverse back down the tree from the root, using the partial sums from t Up-Sweep: Really n – 1 adds -Down-Sweep: Really n -1 adds and n -1 swaps +Down-Sweep: Really n - 1 adds and n - 1 swaps ### Thrust's Implementation @@ -66,6 +66,7 @@ The goal of stream compaction is that, given an array of elements, we create a n ## Results Test case configuration: block size = 512, array size = 225 + I added 2 corner cases for my optimized GPU efficient scan in the output with the label "optimized work-efficient scan ...". ``` @@ -141,11 +142,11 @@ Test case configuration: default block size = 128, array size = [1024, 228< If just implementing the GPU scan version following the described algorithm above, my "efficient" GPU scan is actually not that efficient -- it is even slower than the cpu approach. From the graph we can see that only when the data size is larger than `~5K` (222) did the GPU approach start to show a slight advantage over CPU scan in terms of the runtime. Nevertheless, the small advantage can be trivial. -There can be multiple reasons behind this phenomenon. A major one relates to warp partitioning. In the Up-sweep and Down-sweep phases of the original GPU work-efficient scan, the way we write in the data, i.e. dividing in half/ doubling the number of active threads through array indexing, causes warp divergence (Figure 2). The occupancy is high (active warps / maximum warps available) yet not all threads in each warp are performing some work. To optimize this approach, we partition threads based on consecutive increasing `threadIdx` such that we minimize divergent branches and retire unused warps early. Retired warps can then be scheduled to run something else, thus better hardware utilization and hiding latency. +There can be multiple reasons behind this phenomenon. A major one relates to warp partitioning. In the Up-sweep and Down-sweep phases of the original GPU work-efficient scan, the way we write in the data, i.e. dividing in half/ doubling the number of active threads through array indexing, causes warp divergence (Figure 2). The occupancy is high (active warps / maximum warps available) yet not all threads in each warp are performing some work. To optimize this approach, we partition threads based on consecutive increasing `threadIdx` such that we minimize divergent branches and retire unused warps early. Retired warps can then be scheduled to run something else, thus resulting in better hardware utilization and hiding latency. ![Figure 2](img/results/warp_divergence_diagram.png) -*Figure 2: Left is the original parallel reduction (up-sweep) algorithm. Right is a reworked algorithm. In the 1st pass, the original method leads to 4 divergent warps while the tweaked implementation has no divergence. Instead, the reworked method retires 2 warps early. For easy understanding and illustration purposes, we assume warp size = 2 here.* +*Figure 2: Left is the original parallel reduction (up-sweep) algorithm. Right is a reworked algorithm. In the 1st pass, the original method leads to 4 divergent warps while the tweaked implementation has no divergence. Instead, the reworked method retires 2 warps early (warp 2 and warp 3). For easy understanding and illustration purposes, we assume warp size = 2 here.* Instead of doing the indexing below during up-sweep (similar for down-sweep), @@ -156,7 +157,7 @@ for (int stride = 1; stride < blockDim.x; stride *= 2) { } // stride = 1, 2, 4, ... ``` -we can change the condition to determine which thread we should write or not like this: +we change the condition to determine which thread we should write or not like this: ``` for (int stride = blockDim.x / 2; stride > 0; stride /= 2) { if (t < stride) @@ -165,7 +166,7 @@ for (int stride = blockDim.x / 2; stride > 0; stride /= 2) { // stride = ... 4, 2, 1 ``` -In addition, we no longer need to check `modulo %`, which is an expensive operation that can take 100s of cycle/ up to 20 instructions on GPU. Less-than is considerably faster. **Theoretically speaking**, by changing some index calculation hacks we can then achieve a significant performance boost. **However, my attempt to optimize indexing (for part 5 extra credit) seems unstable because my reworked implementation was even slower than the non-optimized, mostly when the data size is below 222. Due to time constraint, I couldn't confirm why this happens from time to time. Therefore, for the rest of the performance analysis although I have included sample outputs of the optimized GPU efficient implementation, I will not put much weight on its accuracy because of unreliability.** +In addition, we no longer need to check `modulo %` in the loop, an expensive operation that can take 100s of cycle/ up to 20 instructions on GPU. Less-than operator is considerably faster. **Theoretically speaking**, by updating these index calculation hacks we can achieve a significant performance boost compared to serial CPU scan. **However, my attempt to optimize indexing (for part 5 extra credit) seems unstable because my reworked implementation was even slower than the non-optimized, especially when data size is below 222. Due to time constraint, I couldn't confirm why this happens from time to time. Therefore, for the rest of the performance analysis although I have included sample outputs from the optimized GPU efficient scan, I will not put much weight on its accuracy because of unreliability.** ### 2. Block size optimization for minimal runtime @@ -187,13 +188,21 @@ Test case configuration: block size = 256, array size = [217 (131,072 *Figure 4 & 5: Runtime vs Array Size in both power of 2 and non-power of 2 for all the Scan algorithms* -As can be seen in Figure 4 & 5, the runtime of the scan algorithm increases smoonthly for each of the implementation when the array size is smaller than **220** and peaks steeply past **225**. The Thrust library version was always the best and outperforms the other implementations by at maximum **30x** faster. In all test cases, the Thrust version maintains a runtime below 10ms, which is reasonable because it is a highly optimized GPU parallel algorithm library that is developed for high performance applications. To guess at what might be happening inside the Thrust implementation (e.g. allocation, memory copy), refer to the analysis down below where I used Nsight Timeline for its execution. +As can be seen in Figure 4 & 5, the runtime of the scan algorithm increases smoonthly for each of the implementation when the array size is smaller than **220** and peaks steeply past **225**. The Thrust library version was always the best and outperforms the other implementations by at maximum **30x** faster. In all test cases, the Thrust version maintains a runtime below 10ms, which is reasonable because it is a well-established GPU library that is developed for high performance applications. To guess at what might be happening inside the Thrust implementation (e.g. allocation, memory copy), refer to the analysis down below where I used Nsight Timeline for its execution. + +The optimized work-efficient parallel scan is the next best version. This is sometimes slower than the CPU (when data size is small as I mentioned) but always faster than the naive parallel version in the long run. My guess why it can be slower than the CPU version is that it is only using global memory, the type of GPU memory with the highest latency. Especially when compared to the CPU version's cache coherency, this is a huge bottleneck on the algorithm. Another problem of both the optimized and the original wor-efficient scan is that the number of threads remains constant each iteration. This means that, during both the up sweep and down sweep phases, there are potentially thousands of blocks launched for a process, while only one or a few threads are actually active at a time. A more optimized version of the algorithm would 1. dynamically shrink/ expand the block size so that in each level of depth in scanning we can terminate idle threads, 2. switch to shared memory for faster data access. + +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 GPU parallel versions require. + +Finally, the naive parallel scan is the worst. For 33 million array size, this algorithm is 50% worse than the optimized efficient parallel scan, and 30x slower than the thrust library implementation. + +### 4. A Sneak Peak of Thrust Implementation -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. +![Figure 6](img/results/nsight_timeline.PNG) -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 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. +*Figure 6: Nsight Timeline on Thrust Eclusive Scan operation* -Finally, the naive parallel scan is the worst version. For 33 million array size, this algorithm is 50% worse than the optimized efficient parallel scan, and 30x slower than the thrust library implementation. This is likely 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. +I checked Nsight Timeline within Nsight Compute 2023.2.2 using the test case where array size is 225. The function call of thrust::exclusive_scan is about one half of each kernel sweep call. We can see in the Thrust implementation most expense is on device memory allocation and memory copy based on the time span of `cudaMemcpyAsync` and `cudaMemcpy` executions. I guess the basic cost for memory operation is quite big in Thrust, but as the array size grows, since it might has some kind of memory access optimization like contiguous access, the memory operation cost might not increase a lot. As a result, in a large array thrust implementation has the best performance. ## References @@ -203,3 +212,4 @@ Finally, the naive parallel scan is the worst version. For 33 million array size - This online version contains a few small errors (in superscripting, missing braces, bad indentation, etc.) - We maintain a fix for this at [GPU Gem 3 Ch 39 Patch](https://github.com/CIS565-Fall-2017/Project2-Stream-Compaction/blob/master/INSTRUCTION.md#gpu-gem-3-ch-39-patch). If you find more errors in the chapter, welcome to open new pull requests to contribute. * UPenn CIS5650 Project 2 [Recitation slides](https://docs.google.com/presentation/d/1daOnWHOjMp1sIqMdVsNnvEU1UYynKcEMARc_W6bGnqE/edit?usp=sharing) +* [Nsight Compute Tools Documentation](https://docs.nvidia.com/nsight-compute/NsightCompute/index.html) diff --git a/img/results/nsight_timeline.png b/img/results/nsight_timeline.png new file mode 100644 index 0000000000000000000000000000000000000000..e610756b435c560b0b03328c24ce07277df295b5 GIT binary patch literal 341085 zcmb@tWmFtZ7d4s$_uzvEC%C%=cXx-uU4jfAAh-p02p*il-EEKn!Gk-&-Q~{nt^4!k z`*UxtHPfqW^>o*nI(6!ty>~~bC`qFs6C%HR_YO@~MnVmGXnyw&wh0j)+LP1y{NLgI zS2by|cU8ZM|3Ob+twa??-@OCJp*)$wLC=w#Wpuy3dxz!r-{<|RB^l`5yVoLF2~iD@ z(a|$P7V*3njkiel*VsfDS9I7fSg1e0r~yBIRx7Np&BwJLO_?)Vy6~Q#7d1M)eQfu< zUSxo1)wnYmFQzc*CVWoFr%S;49Pu7DJX$oXXM1v*Z|~$ZD}&VJqt&~ykN@ryL(;3N zs>-UWn#z8sdp~MAth6>5F{g^U2~GZUi&+b=QcRYEyY}ul4}YsMhax$;t*Df0)aWpd 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100644 --- a/src/main.cpp +++ b/src/main.cpp @@ -13,7 +13,7 @@ #include #include "testing_helpers.hpp" -const int SIZE = 1 << 17; // feel free to change the size of array +const int SIZE = 1 << 25; // feel free to change the size of array // 28 = 268435456 //const int SIZE = 1000000; From 4dfc6c9463738b535f4e7d6adec2371b17bc95c4 Mon Sep 17 00:00:00 2001 From: Linda Zhu Date: Wed, 20 Sep 2023 01:29:02 -0400 Subject: [PATCH 8/8] fix broken img --- README.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/README.md b/README.md index 33aa85b..20fa8c5 100644 --- a/README.md +++ b/README.md @@ -198,7 +198,7 @@ Finally, the naive parallel scan is the worst. For 33 million array size, this a ### 4. A Sneak Peak of Thrust Implementation -![Figure 6](img/results/nsight_timeline.PNG) +![Figure 6](img/results/nsight_timeline.png) *Figure 6: Nsight Timeline on Thrust Eclusive Scan operation*