From aa0c90229a89131d0d16814852695b9f2b2a9f8e Mon Sep 17 00:00:00 2001 From: GrahamZen <931252924@qq.com> Date: Fri, 15 Sep 2023 16:41:59 -0400 Subject: [PATCH 01/17] finish Part 1 --- stream_compaction/common.h | 1 + stream_compaction/cpu.cu | 42 ++++++++++++++++++++++++++++++-------- 2 files changed, 35 insertions(+), 8 deletions(-) diff --git a/stream_compaction/common.h b/stream_compaction/common.h index d2c1fed..ad5cc4f 100644 --- a/stream_compaction/common.h +++ b/stream_compaction/common.h @@ -21,6 +21,7 @@ void checkCUDAErrorFn(const char *msg, const char *file = NULL, int line = -1); inline int ilog2(int x) { int lg = 0; while (x >>= 1) { + if (x <= 0) { throw std::runtime_error("Dead loop while shifting"); } ++lg; } return lg; diff --git a/stream_compaction/cpu.cu b/stream_compaction/cpu.cu index 719fa11..fbcac13 100644 --- a/stream_compaction/cpu.cu +++ b/stream_compaction/cpu.cu @@ -17,9 +17,14 @@ namespace StreamCompaction { * For performance analysis, this is supposed to be a simple for loop. * (Optional) For better understanding before starting moving to GPU, you can simulate your GPU scan in this function first. */ - void scan(int n, int *odata, const int *idata) { + void scan(int n, int* odata, const int* idata) { timer().startCpuTimer(); - // TODO + // DONE + odata[0] = 0; + for (int i = 1; i < n; i++) + { + odata[i] = odata[i - 1] + idata[i - 1]; + } timer().endCpuTimer(); } @@ -28,11 +33,18 @@ namespace StreamCompaction { * * @returns the number of elements remaining after compaction. */ - int compactWithoutScan(int n, int *odata, const int *idata) { + int compactWithoutScan(int n, int* odata, const int* idata) { timer().startCpuTimer(); - // TODO + // DONE + int oi = 0, ii = 0; + while (ii < n) { + if (idata[ii] != 0) { + odata[oi++] = idata[ii]; + } + ii++; + } timer().endCpuTimer(); - return -1; + return oi; } /** @@ -40,11 +52,25 @@ namespace StreamCompaction { * * @returns the number of elements remaining after compaction. */ - int compactWithScan(int n, int *odata, const int *idata) { + int compactWithScan(int n, int* odata, const int* idata) { + int* notZero = new int[n]; timer().startCpuTimer(); - // TODO + // DONE + notZero[0] = 0; + for (int i = 0; i < n - 1; i++) + { + notZero[i + 1] = notZero[i] + (idata[i] == 0 ? 0 : 1); + } + int num = notZero[n - 1]; + for (int i = 0; i < n; i++) + { + if (idata[i] != 0) { + odata[notZero[i]] = idata[i]; + } + } timer().endCpuTimer(); - return -1; + delete[]notZero; + return num; } } } From 18ad5a1280068a3b013c5c4d2962a89d1c11be70 Mon Sep 17 00:00:00 2001 From: GrahamZen <931252924@qq.com> Date: Fri, 15 Sep 2023 23:00:57 -0400 Subject: [PATCH 02/17] Finish part1 & 2 --- stream_compaction/naive.cu | 28 +++++++++++++++++++++++++--- 1 file changed, 25 insertions(+), 3 deletions(-) diff --git a/stream_compaction/naive.cu b/stream_compaction/naive.cu index 4308876..78c5e9a 100644 --- a/stream_compaction/naive.cu +++ b/stream_compaction/naive.cu @@ -5,6 +5,7 @@ namespace StreamCompaction { namespace Naive { + int blockSize = 256; using StreamCompaction::Common::PerformanceTimer; PerformanceTimer& timer() { @@ -12,14 +13,35 @@ namespace StreamCompaction { return timer; } // TODO: __global__ - + __global__ void kernNaiveScan(const int n, const int d, int* odata, int* idata) + { + int index = blockIdx.x * blockDim.x + threadIdx.x; + if (index >= n)return; + if (index >= d) + odata[index] = idata[index - d] + 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) { + void scan(int n, int* odata, const int* idata) { + int* dev_idata, * dev_odata; + cudaMalloc((void**)&dev_idata, n * sizeof(int)); + cudaMalloc((void**)&dev_odata, n * sizeof(int)); + cudaMemcpy(dev_idata+1, idata, (n - 1) * sizeof(int), cudaMemcpyHostToDevice); + dim3 fullBlocksPerGrid((n + blockSize - 1) / blockSize); timer().startGpuTimer(); - // TODO + // DONE + for (int i = 1; i <= ilog2ceil(n); i++) + { + kernNaiveScan << > > (n, 1 << (i - 1), dev_odata, dev_idata); + std::swap(dev_odata, dev_idata); + } timer().endGpuTimer(); + cudaMemcpy(odata, dev_idata, n*sizeof(int), cudaMemcpyDeviceToHost); + cudaFree(dev_idata); + cudaFree(dev_odata); } } } From aee554cf5e04c074cb670c67198463dc406d0aed Mon Sep 17 00:00:00 2001 From: GrahamZen <931252924@qq.com> Date: Sat, 16 Sep 2023 02:00:59 -0400 Subject: [PATCH 03/17] Finish Work-Efficient GPU Scan --- stream_compaction/common.h | 1 + stream_compaction/efficient.cu | 46 ++++++++++++++++++++++++++++++++-- stream_compaction/naive.cu | 1 - 3 files changed, 45 insertions(+), 3 deletions(-) diff --git a/stream_compaction/common.h b/stream_compaction/common.h index ad5cc4f..3acffe2 100644 --- a/stream_compaction/common.h +++ b/stream_compaction/common.h @@ -12,6 +12,7 @@ #define FILENAME (strrchr(__FILE__, '/') ? strrchr(__FILE__, '/') + 1 : __FILE__) #define checkCUDAError(msg) checkCUDAErrorFn(msg, FILENAME, __LINE__) +constexpr int blockSize = 256; /** * 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 2db346e..bb30413 100644 --- a/stream_compaction/efficient.cu +++ b/stream_compaction/efficient.cu @@ -12,13 +12,55 @@ namespace StreamCompaction { return timer; } + __global__ void kernUpSweep(int* data, int n, int d) { + int index = blockIdx.x * blockDim.x + threadIdx.x; + int shift = 1 << d, shift2 = shift << 1; + if (index > n || index + shift2 > n || index + shift > n) + return; + if ((index & (shift2 - 1)) == 0) + data[index + shift2 - 1] += data[index + shift - 1]; + } + + __global__ void kernDownSweep(int* data, int n, int d, bool isStart) { + int index = blockIdx.x * blockDim.x + threadIdx.x; + int shift = 1 << d, shift2 = shift << 1; + if (isStart) + { + data[shift - 1] = 0; + return; + } + if (index > n || index + shift2 > n || index + shift > n) + return; + if ((index & (shift2 - 1)) == 0) { + int t = data[index + shift2 - 1]; + data[index + shift2 - 1] += data[index + shift - 1]; + data[index + shift - 1] = t; + } + } /** * Performs prefix-sum (aka scan) on idata, storing the result into odata. */ - void scan(int n, int *odata, const int *idata) { + void scan(int n, int* odata, const int* idata) { + int dMax = ilog2ceil(n); + int extended_n = 1 << dMax; + int* dev_data; + cudaMalloc((void**)&dev_data, sizeof(int) * extended_n); + cudaMemset(dev_data, 0, sizeof(int) * extended_n); + cudaMemcpy(dev_data, idata, sizeof(int) * n, cudaMemcpyHostToDevice); + dim3 fullBlocksPerGrid((extended_n + blockSize - 1) / blockSize); timer().startGpuTimer(); // TODO + for (int i = 0; i < dMax; i++) + { + kernUpSweep << > > (dev_data, extended_n, i); + } + for (int i = dMax; i >= 0; i--) + { + kernDownSweep << > > (dev_data, extended_n, i, i == dMax); + } timer().endGpuTimer(); + cudaMemcpy(odata, dev_data, sizeof(int) * n, cudaMemcpyDeviceToHost); + cudaFree(dev_data); } /** @@ -30,7 +72,7 @@ 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) { timer().startGpuTimer(); // TODO timer().endGpuTimer(); diff --git a/stream_compaction/naive.cu b/stream_compaction/naive.cu index 78c5e9a..fb30a52 100644 --- a/stream_compaction/naive.cu +++ b/stream_compaction/naive.cu @@ -5,7 +5,6 @@ namespace StreamCompaction { namespace Naive { - int blockSize = 256; using StreamCompaction::Common::PerformanceTimer; PerformanceTimer& timer() { From de1a02bd1572d09a306625e222e07dedbc54754b Mon Sep 17 00:00:00 2001 From: GrahamZen <931252924@qq.com> Date: Sat, 16 Sep 2023 12:15:13 -0400 Subject: [PATCH 04/17] optimize efficient kernel code --- stream_compaction/efficient.cu | 38 ++++++++++++++-------------------- 1 file changed, 15 insertions(+), 23 deletions(-) diff --git a/stream_compaction/efficient.cu b/stream_compaction/efficient.cu index bb30413..6cbe7cd 100644 --- a/stream_compaction/efficient.cu +++ b/stream_compaction/efficient.cu @@ -12,29 +12,20 @@ namespace StreamCompaction { return timer; } - __global__ void kernUpSweep(int* data, int n, int d) { + __global__ void kernUpSweep(int* data, int n, int offset) { int index = blockIdx.x * blockDim.x + threadIdx.x; - int shift = 1 << d, shift2 = shift << 1; - if (index > n || index + shift2 > n || index + shift > n) - return; - if ((index & (shift2 - 1)) == 0) - data[index + shift2 - 1] += data[index + shift - 1]; + int offset2 = offset << 1; + if (index + offset2 <= n && (index & (offset2 - 1)) == 0) + data[index + offset2 - 1] += data[index + offset - 1]; } - __global__ void kernDownSweep(int* data, int n, int d, bool isStart) { + __global__ void kernDownSweep(int* data, int n, int offset) { int index = blockIdx.x * blockDim.x + threadIdx.x; - int shift = 1 << d, shift2 = shift << 1; - if (isStart) - { - data[shift - 1] = 0; - return; - } - if (index > n || index + shift2 > n || index + shift > n) - return; - if ((index & (shift2 - 1)) == 0) { - int t = data[index + shift2 - 1]; - data[index + shift2 - 1] += data[index + shift - 1]; - data[index + shift - 1] = t; + int offset2 = offset << 1; + if (index + offset2 <= n && (index & (offset2 - 1)) == 0) { + int t = data[index + offset2 - 1]; + data[index + offset2 - 1] += data[index + offset - 1]; + data[index + offset - 1] = t; } } /** @@ -50,13 +41,14 @@ namespace StreamCompaction { dim3 fullBlocksPerGrid((extended_n + blockSize - 1) / blockSize); timer().startGpuTimer(); // TODO - for (int i = 0; i < dMax; i++) + for (int i = 0; i < dMax - 1; i++) { - kernUpSweep << > > (dev_data, extended_n, i); + kernUpSweep << > > (dev_data, extended_n, 1 << i); } - for (int i = dMax; i >= 0; i--) + cudaMemset(&dev_data[extended_n - 1], 0, sizeof(int)); + for (int i = dMax - 1; i >= 0; i--) { - kernDownSweep << > > (dev_data, extended_n, i, i == dMax); + kernDownSweep << > > (dev_data, extended_n, 1 << i); } timer().endGpuTimer(); cudaMemcpy(odata, dev_data, sizeof(int) * n, cudaMemcpyDeviceToHost); From 5b09aae4ac20dbf57b3f52384efec22267af4332 Mon Sep 17 00:00:00 2001 From: GrahamZen <931252924@qq.com> Date: Sat, 16 Sep 2023 13:49:20 -0400 Subject: [PATCH 05/17] optimize efficient's indexing logic --- stream_compaction/efficient.cu | 39 +++++++++++++++++----------------- 1 file changed, 20 insertions(+), 19 deletions(-) diff --git a/stream_compaction/efficient.cu b/stream_compaction/efficient.cu index 6cbe7cd..81a1d8c 100644 --- a/stream_compaction/efficient.cu +++ b/stream_compaction/efficient.cu @@ -12,43 +12,44 @@ namespace StreamCompaction { return timer; } - __global__ void kernUpSweep(int* data, int n, int offset) { - int index = blockIdx.x * blockDim.x + threadIdx.x; - int offset2 = offset << 1; - if (index + offset2 <= n && (index & (offset2 - 1)) == 0) - data[index + offset2 - 1] += data[index + offset - 1]; + __global__ void kernUpSweep(int* data, int n, int stride) { + int index = blockIdx.x * blockDim.x + threadIdx.x + 1; + if (index > n)return; + int real_i = index * stride * 2 - 1; + data[real_i] += data[real_i - stride]; } - __global__ void kernDownSweep(int* data, int n, int offset) { - int index = blockIdx.x * blockDim.x + threadIdx.x; - int offset2 = offset << 1; - if (index + offset2 <= n && (index & (offset2 - 1)) == 0) { - int t = data[index + offset2 - 1]; - data[index + offset2 - 1] += data[index + offset - 1]; - data[index + offset - 1] = t; - } + __global__ void kernDownSweep(int* data, int n, int stride) { + int index = blockIdx.x * blockDim.x + threadIdx.x + 1; + if (index > n)return; + int real_i = index * stride * 2 - 1; + int t = data[real_i]; + data[real_i] += data[real_i - stride]; + data[real_i - stride] = t; } /** * Performs prefix-sum (aka scan) on idata, storing the result into odata. */ void scan(int n, int* odata, const int* idata) { - int dMax = ilog2ceil(n); + int dMax = ilog2ceil(n), strideMax = 1 << (dMax - 1); int extended_n = 1 << dMax; int* dev_data; cudaMalloc((void**)&dev_data, sizeof(int) * extended_n); cudaMemset(dev_data, 0, sizeof(int) * extended_n); cudaMemcpy(dev_data, idata, sizeof(int) * n, cudaMemcpyHostToDevice); - dim3 fullBlocksPerGrid((extended_n + blockSize - 1) / blockSize); timer().startGpuTimer(); + dim3 fullBlocksPerGrid; // TODO - for (int i = 0; i < dMax - 1; i++) + for (int i = 1, int n = strideMax; i < strideMax; i <<= 1, n >>= 1) { - kernUpSweep << > > (dev_data, extended_n, 1 << i); + fullBlocksPerGrid = ((n + blockSize - 1) / blockSize); + kernUpSweep << > > (dev_data, n, i); } cudaMemset(&dev_data[extended_n - 1], 0, sizeof(int)); - for (int i = dMax - 1; i >= 0; i--) + for (int i = strideMax, int n = 1; i >= 1; i >>= 1, n <<= 1) { - kernDownSweep << > > (dev_data, extended_n, 1 << i); + fullBlocksPerGrid = ((n + blockSize - 1) / blockSize); + kernDownSweep << > > (dev_data, n, i); } timer().endGpuTimer(); cudaMemcpy(odata, dev_data, sizeof(int) * n, cudaMemcpyDeviceToHost); From eb0c20bcaca09fed46d444f0266f6dcd1ed7af1f Mon Sep 17 00:00:00 2001 From: GrahamZen <931252924@qq.com> Date: Sat, 16 Sep 2023 15:34:03 -0400 Subject: [PATCH 06/17] finish part 3 --- stream_compaction/efficient.cu | 67 ++++++++++++++++++++++++++-------- stream_compaction/naive.cu | 3 +- 2 files changed, 53 insertions(+), 17 deletions(-) diff --git a/stream_compaction/efficient.cu b/stream_compaction/efficient.cu index 81a1d8c..10bf57e 100644 --- a/stream_compaction/efficient.cu +++ b/stream_compaction/efficient.cu @@ -12,14 +12,14 @@ namespace StreamCompaction { return timer; } - __global__ void kernUpSweep(int* data, int n, int stride) { + __global__ void kernUpSweep(const int n, int* data, const int stride) { int index = blockIdx.x * blockDim.x + threadIdx.x + 1; if (index > n)return; int real_i = index * stride * 2 - 1; data[real_i] += data[real_i - stride]; } - __global__ void kernDownSweep(int* data, int n, int stride) { + __global__ void kernDownSweep(const int n, int* data, const int stride) { int index = blockIdx.x * blockDim.x + threadIdx.x + 1; if (index > n)return; int real_i = index * stride * 2 - 1; @@ -27,35 +27,53 @@ namespace StreamCompaction { data[real_i] += data[real_i - stride]; data[real_i - stride] = t; } - /** - * Performs prefix-sum (aka scan) on idata, storing the result into odata. - */ - void scan(int n, int* odata, const int* idata) { + void scanInplace(int n, int* dev_data) { int dMax = ilog2ceil(n), strideMax = 1 << (dMax - 1); int extended_n = 1 << dMax; - int* dev_data; - cudaMalloc((void**)&dev_data, sizeof(int) * extended_n); - cudaMemset(dev_data, 0, sizeof(int) * extended_n); - cudaMemcpy(dev_data, idata, sizeof(int) * n, cudaMemcpyHostToDevice); - timer().startGpuTimer(); dim3 fullBlocksPerGrid; - // TODO for (int i = 1, int n = strideMax; i < strideMax; i <<= 1, n >>= 1) { fullBlocksPerGrid = ((n + blockSize - 1) / blockSize); - kernUpSweep << > > (dev_data, n, i); + kernUpSweep << > > (n, dev_data, i); } cudaMemset(&dev_data[extended_n - 1], 0, sizeof(int)); for (int i = strideMax, int n = 1; i >= 1; i >>= 1, n <<= 1) { fullBlocksPerGrid = ((n + blockSize - 1) / blockSize); - kernDownSweep << > > (dev_data, n, i); + kernDownSweep << > > (n, dev_data, i); } + } + + /** + * Performs prefix-sum (aka scan) on idata, storing the result into odata. + */ + void scan(int n, int* odata, const int* idata) { + int dMax = ilog2ceil(n); + int extended_n = 1 << dMax; + int* dev_data; + cudaMalloc((void**)&dev_data, sizeof(int) * extended_n); + cudaMemset(dev_data, 0, sizeof(int) * extended_n); + cudaMemcpy(dev_data, idata, sizeof(int) * n, cudaMemcpyHostToDevice); + timer().startGpuTimer(); + // DONE + scanInplace(n, dev_data); timer().endGpuTimer(); cudaMemcpy(odata, dev_data, sizeof(int) * n, cudaMemcpyDeviceToHost); cudaFree(dev_data); } + __global__ void kernMapToBoolean(int n, int* bools, const int* idata) { + int index = blockIdx.x * blockDim.x + threadIdx.x; + if (index > n)return; + if (idata[index] != 0) + bools[index] = 1; + } + __global__ void kernScatter(int n, int* odata, const int* idata, const int* bools, const int* indices) { + int index = blockIdx.x * blockDim.x + threadIdx.x; + if (index > n)return; + if (idata[index] != 0) + odata[indices[index]] = idata[index]; + } /** * Performs stream compaction on idata, storing the result into odata. * All zeroes are discarded. @@ -66,10 +84,27 @@ namespace StreamCompaction { * @returns The number of elements remaining after compaction. */ int compact(int n, int* odata, const int* idata) { + int extended_n = 1 << ilog2ceil(n); + int* dev_idata, * dev_odata, * dev_indices, num; + cudaMalloc((void**)&dev_idata, sizeof(int) * extended_n); + cudaMalloc((void**)&dev_odata, sizeof(int) * n); + cudaMalloc((void**)&dev_indices, sizeof(int) * extended_n); + cudaMemcpy(dev_idata, idata, sizeof(int) * n, cudaMemcpyHostToDevice); + cudaMemset(dev_odata, 0, sizeof(int) * n); + cudaMemset(dev_indices, 0, sizeof(int) * extended_n); + dim3 fullBlocksPerGrid = ((n + blockSize - 1) / blockSize); timer().startGpuTimer(); - // TODO + // DONE + kernMapToBoolean << > > (n, dev_indices, dev_idata); + scanInplace(extended_n, dev_indices); + cudaMemcpy(&num, &dev_indices[extended_n - 1], sizeof(int), cudaMemcpyDeviceToHost); + kernScatter << > > (n, dev_odata, dev_idata, dev_idata, dev_indices); timer().endGpuTimer(); - return -1; + cudaMemcpy(odata, dev_odata, sizeof(int) * num, cudaMemcpyDeviceToHost); + cudaFree(dev_idata); + cudaFree(dev_odata); + cudaFree(dev_indices); + return num; } } } diff --git a/stream_compaction/naive.cu b/stream_compaction/naive.cu index fb30a52..e2c8ff7 100644 --- a/stream_compaction/naive.cu +++ b/stream_compaction/naive.cu @@ -25,6 +25,7 @@ namespace StreamCompaction { * Performs prefix-sum (aka scan) on idata, storing the result into odata. */ void scan(int n, int* odata, const int* idata) { + int dMax = ilog2ceil(n); int* dev_idata, * dev_odata; cudaMalloc((void**)&dev_idata, n * sizeof(int)); cudaMalloc((void**)&dev_odata, n * sizeof(int)); @@ -32,7 +33,7 @@ namespace StreamCompaction { dim3 fullBlocksPerGrid((n + blockSize - 1) / blockSize); timer().startGpuTimer(); // DONE - for (int i = 1; i <= ilog2ceil(n); i++) + for (int i = 1; i <= dMax; i++) { kernNaiveScan << > > (n, 1 << (i - 1), dev_odata, dev_idata); std::swap(dev_odata, dev_idata); From c6455c6234331410f4c091eab2958a0744794fd7 Mon Sep 17 00:00:00 2001 From: GrahamZen <931252924@qq.com> Date: Sat, 16 Sep 2023 15:52:43 -0400 Subject: [PATCH 07/17] finish part 4 --- stream_compaction/thrust.cu | 11 +++++++++-- 1 file changed, 9 insertions(+), 2 deletions(-) diff --git a/stream_compaction/thrust.cu b/stream_compaction/thrust.cu index 1def45e..a157a51 100644 --- a/stream_compaction/thrust.cu +++ b/stream_compaction/thrust.cu @@ -17,12 +17,19 @@ namespace StreamCompaction { /** * Performs prefix-sum (aka scan) on idata, storing the result into odata. */ - void scan(int n, int *odata, const int *idata) { + void scan(int n, int* odata, const int* idata) { + thrust::host_vector hst_idata(idata, idata + n); + thrust::device_vector dev_idata = hst_idata; + thrust::device_vector dev_odata(n); + timer().startGpuTimer(); - // TODO use `thrust::exclusive_scan` + // DONE use `thrust::exclusive_scan` // example: for device_vectors dv_in and dv_out: // thrust::exclusive_scan(dv_in.begin(), dv_in.end(), dv_out.begin()); + thrust::exclusive_scan(dev_idata.begin(), dev_idata.end(), dev_odata.begin()); timer().endGpuTimer(); + + thrust::copy(dev_odata.begin(), dev_odata.end(), odata); } } } From ab3fdcd863976ea633ac9ac5dc1280ab203f3889 Mon Sep 17 00:00:00 2001 From: GrahamZen <931252924@qq.com> Date: Sat, 16 Sep 2023 23:08:29 -0400 Subject: [PATCH 08/17] add radix sort & test --- src/main.cpp | 35 ++++++++++++++++ stream_compaction/CMakeLists.txt | 2 + stream_compaction/common.h | 2 +- stream_compaction/cpu.cu | 7 ++++ stream_compaction/cpu.h | 2 + stream_compaction/efficient.cu | 9 ++-- stream_compaction/efficient.h | 2 + stream_compaction/radixSort.cu | 70 ++++++++++++++++++++++++++++++++ stream_compaction/radixSort.h | 11 +++++ 9 files changed, 135 insertions(+), 5 deletions(-) create mode 100644 stream_compaction/radixSort.cu create mode 100644 stream_compaction/radixSort.h diff --git a/src/main.cpp b/src/main.cpp index 896ac2b..0f71c10 100644 --- a/src/main.cpp +++ b/src/main.cpp @@ -10,9 +10,11 @@ #include #include #include +#include #include #include "testing_helpers.hpp" +const int NUMBITS = 20; // for radix sort const int SIZE = 1 << 8; // feel free to change the size of array const int NPOT = SIZE - 3; // Non-Power-Of-Two int *a = new int[SIZE]; @@ -147,6 +149,39 @@ int main(int argc, char* argv[]) { //printArray(count, c, true); printCmpLenResult(count, expectedNPOT, b, c); + printf("\n"); + printf("*****************************\n"); + printf("** RADIX-SORT TESTS **\n"); + printf("*****************************\n"); + + genArray(SIZE - 1, a, (1 << NUMBITS) - 1); // Leave a 0 at the end to test that edge case + a[SIZE - 1] = 0; + printArray(SIZE, a, true); + + zeroArray(SIZE, b); + printDesc("cpu std::sort, power-of-two"); + StreamCompaction::CPU::sort(SIZE, b, a); + printElapsedTime(StreamCompaction::CPU::timer().getCpuElapsedTimeForPreviousOperation(), "(std::chrono Measured)"); + + StreamCompaction::RadixSort::sort(SIZE, c, a, NUMBITS); + printDesc("radix-sort, power-of-two"); + printElapsedTime(StreamCompaction::RadixSort::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); + printCmpLenResult(SIZE, SIZE, b, c); + + + zeroArray(SIZE, b); + printDesc("cpu std::sort, non-power-of-two"); + StreamCompaction::CPU::sort(NPOT, b, a); + printElapsedTime(StreamCompaction::CPU::timer().getCpuElapsedTimeForPreviousOperation(), "(std::chrono Measured)"); + + zeroArray(SIZE, c); + StreamCompaction::RadixSort::sort(NPOT, c, a, NUMBITS); + printDesc("radix-sort, non-power-of-two"); + printElapsedTime(StreamCompaction::RadixSort::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); + //printArray(NPOT, c, true); + + printCmpLenResult(NPOT, NPOT, b, c); + system("pause"); // stop Win32 console from closing on exit delete[] a; delete[] b; diff --git a/stream_compaction/CMakeLists.txt b/stream_compaction/CMakeLists.txt index 567795b..8656c2f 100644 --- a/stream_compaction/CMakeLists.txt +++ b/stream_compaction/CMakeLists.txt @@ -4,6 +4,7 @@ set(headers "naive.h" "efficient.h" "thrust.h" + "radixSort.h" ) set(sources @@ -12,6 +13,7 @@ set(sources "naive.cu" "efficient.cu" "thrust.cu" + "radixSort.cu" ) list(SORT headers) diff --git a/stream_compaction/common.h b/stream_compaction/common.h index 3acffe2..263f7ca 100644 --- a/stream_compaction/common.h +++ b/stream_compaction/common.h @@ -12,7 +12,7 @@ #define FILENAME (strrchr(__FILE__, '/') ? strrchr(__FILE__, '/') + 1 : __FILE__) #define checkCUDAError(msg) checkCUDAErrorFn(msg, FILENAME, __LINE__) -constexpr int blockSize = 256; +constexpr int blockSize = 128; /** * Check for CUDA errors; print and exit if there was a problem. diff --git a/stream_compaction/cpu.cu b/stream_compaction/cpu.cu index fbcac13..6988efc 100644 --- a/stream_compaction/cpu.cu +++ b/stream_compaction/cpu.cu @@ -72,5 +72,12 @@ namespace StreamCompaction { delete[]notZero; return num; } + + void sort(int n, int* odata, const int* idata) { + memcpy(odata, idata, sizeof(int) * n); + timer().startCpuTimer(); + std::sort(odata, odata + n); + timer().endCpuTimer(); + } } } diff --git a/stream_compaction/cpu.h b/stream_compaction/cpu.h index 873c047..4261454 100644 --- a/stream_compaction/cpu.h +++ b/stream_compaction/cpu.h @@ -11,5 +11,7 @@ namespace StreamCompaction { int compactWithoutScan(int n, int *odata, const int *idata); int compactWithScan(int n, int *odata, const int *idata); + + void sort(int n, int *odata, const int* idata); } } diff --git a/stream_compaction/efficient.cu b/stream_compaction/efficient.cu index 10bf57e..1331929 100644 --- a/stream_compaction/efficient.cu +++ b/stream_compaction/efficient.cu @@ -28,15 +28,16 @@ namespace StreamCompaction { data[real_i - stride] = t; } void scanInplace(int n, int* dev_data) { - int dMax = ilog2ceil(n), strideMax = 1 << (dMax - 1); - int extended_n = 1 << dMax; + if (n != 1 << ilog2ceil(n)) + throw std::runtime_error("n is not pow of 2"); + int strideMax = n >> 1; dim3 fullBlocksPerGrid; for (int i = 1, int n = strideMax; i < strideMax; i <<= 1, n >>= 1) { fullBlocksPerGrid = ((n + blockSize - 1) / blockSize); kernUpSweep << > > (n, dev_data, i); } - cudaMemset(&dev_data[extended_n - 1], 0, sizeof(int)); + cudaMemset(&dev_data[n - 1], 0, sizeof(int)); for (int i = strideMax, int n = 1; i >= 1; i >>= 1, n <<= 1) { fullBlocksPerGrid = ((n + blockSize - 1) / blockSize); @@ -56,7 +57,7 @@ namespace StreamCompaction { cudaMemcpy(dev_data, idata, sizeof(int) * n, cudaMemcpyHostToDevice); timer().startGpuTimer(); // DONE - scanInplace(n, dev_data); + scanInplace(extended_n, dev_data); timer().endGpuTimer(); cudaMemcpy(odata, dev_data, sizeof(int) * n, cudaMemcpyDeviceToHost); cudaFree(dev_data); diff --git a/stream_compaction/efficient.h b/stream_compaction/efficient.h index 803cb4f..826a8a4 100644 --- a/stream_compaction/efficient.h +++ b/stream_compaction/efficient.h @@ -6,6 +6,8 @@ namespace StreamCompaction { namespace Efficient { StreamCompaction::Common::PerformanceTimer& timer(); + void scanInplace(int n, int* dev_data); + void scan(int n, int *odata, const int *idata); int compact(int n, int *odata, const int *idata); diff --git a/stream_compaction/radixSort.cu b/stream_compaction/radixSort.cu new file mode 100644 index 0000000..41343fb --- /dev/null +++ b/stream_compaction/radixSort.cu @@ -0,0 +1,70 @@ +#include +#include +#include "efficient.h" +#include "radixSort.h" + +namespace StreamCompaction { + namespace RadixSort { + using StreamCompaction::Common::PerformanceTimer; + PerformanceTimer& timer() + { + static PerformanceTimer timer; + return timer; + } + + __global__ void kernMapToBoolean(int n, int* odata, const int* idata, int mask) { + int index = blockIdx.x * blockDim.x + threadIdx.x; + if (index >= n) { + return; + } + odata[index] = (idata[index] & mask) == 0; + } + + __global__ void kernScatter(int n, int* odata, const int* idata, const int* falses, int mask, int totalFalses) { + int index = blockIdx.x * blockDim.x + threadIdx.x; + if (index >= n) { + return; + } + int falsesIndex = falses[index]; + if ((idata[index] & mask) == 0) { + odata[falsesIndex] = idata[index]; + } + else { + odata[index - falsesIndex + totalFalses] = idata[index]; + } + } + + void sort(int n, int* odata, const int* idata, int numBits) { + int extended_n = 1 << ilog2ceil(n); + dim3 fullBlocksPerGrid((n + blockSize - 1) / blockSize); + int* dev_idata; + int* dev_odata; + int* dev_falses; + cudaMalloc((void**)&dev_idata, n * sizeof(int)); + cudaMalloc((void**)&dev_odata, n * sizeof(int)); + cudaMalloc((void**)&dev_falses, extended_n * sizeof(int)); + cudaMemcpy(dev_idata, idata, n * sizeof(int), cudaMemcpyHostToDevice); + timer().startGpuTimer(); + int maxMask = 1 << numBits; + for (int mask = 1; mask < maxMask; mask <<= 1) + { + kernMapToBoolean << > > (n, dev_falses, dev_idata, mask); + cudaMemcpy(odata, dev_falses, n * sizeof(int), cudaMemcpyDeviceToHost); + StreamCompaction::Efficient::scanInplace(extended_n, dev_falses); + int totalFalses = 0, tmp_back = 0; + cudaMemcpy(&totalFalses, dev_falses + n - 1, sizeof(int), cudaMemcpyDeviceToHost); + cudaMemcpy(&tmp_back, dev_idata + n - 1, sizeof(int), cudaMemcpyDeviceToHost); + totalFalses += (tmp_back & mask) == 0; + kernScatter << > > (n, dev_odata, dev_idata, dev_falses, mask, totalFalses); + std::swap(dev_idata, dev_odata); + cudaMemcpy(odata, dev_idata, n * sizeof(int), cudaMemcpyDeviceToHost); + } + timer().endGpuTimer(); + cudaMemcpy(odata, dev_idata, n * sizeof(int), cudaMemcpyDeviceToHost); + cudaFree(dev_idata); + cudaFree(dev_odata); + cudaFree(dev_falses); + } + + } +} diff --git a/stream_compaction/radixSort.h b/stream_compaction/radixSort.h new file mode 100644 index 0000000..c4d6538 --- /dev/null +++ b/stream_compaction/radixSort.h @@ -0,0 +1,11 @@ +#pragma once + +#include "common.h" + +namespace StreamCompaction { + namespace RadixSort { + StreamCompaction::Common::PerformanceTimer& timer(); + + void sort(int n, int* odata, const int* idata, int numBits); + } +} From b93322b385b100c7832821f78896289235e7d1c9 Mon Sep 17 00:00:00 2001 From: GrahamZen <931252924@qq.com> Date: Sun, 17 Sep 2023 15:03:52 -0400 Subject: [PATCH 09/17] finish part 7 & test --- stream_compaction/efficient.cu | 88 ++++++++++++++++++++++++++++++++++ stream_compaction/efficient.h | 2 + 2 files changed, 90 insertions(+) diff --git a/stream_compaction/efficient.cu b/stream_compaction/efficient.cu index 1331929..27829ad 100644 --- a/stream_compaction/efficient.cu +++ b/stream_compaction/efficient.cu @@ -27,6 +27,68 @@ namespace StreamCompaction { data[real_i] += data[real_i - stride]; data[real_i - stride] = t; } + + __global__ void kernPrescanInplace(int n, int* data, int* blockSum) { + // allocated on invocation + extern __shared__ int temp[]; + extern __shared__ int last; + int thid = threadIdx.x; + int blockOffset = blockIdx.x * blockDim.x; + int index = blockOffset + thid; + if (index > n) + return; + + int offset = 1; + temp[thid] = data[index]; + if (thid == blockDim.x - 1) + last = temp[blockDim.x - 1]; + __syncthreads(); + + // build sum in place up the tree + for (int d = blockDim.x >> 1; d > 0; d >>= 1) + { + __syncthreads(); + if (thid < d) + { + int ai = offset * (2 * thid + 1) - 1; + int bi = ai + offset; + temp[bi] += temp[ai]; + } + offset *= 2; + } + // clear the last element + if (thid == 0) { temp[blockDim.x - 1] = 0; } + // traverse down tree & build scan + for (int d = 1; d < blockDim.x; d *= 2) + { + offset >>= 1; + __syncthreads(); + if (thid < d) + { + int ai = offset * (2 * thid + 1) - 1; + int bi = ai + offset; + int t = temp[ai]; + temp[ai] = temp[bi]; + temp[bi] += t; + } + __syncthreads(); + } + data[index] = temp[thid]; + if (thid == 0) { + blockSum[blockIdx.x] = last + temp[blockDim.x - 1]; + } + } + + __global__ void kernAddBlockSum(int* data, const int* blockSum, int n) { + extern __shared__ int sum; + int index = blockIdx.x * blockDim.x + threadIdx.x; + if (index >= n)return; + if (threadIdx.x == 0) + sum = blockSum[blockIdx.x]; + __syncthreads(); + data[index] += sum; + } + void scanInplace(int n, int* dev_data) { if (n != 1 << ilog2ceil(n)) throw std::runtime_error("n is not pow of 2"); @@ -63,6 +125,32 @@ namespace StreamCompaction { cudaFree(dev_data); } + void scanShared(int n, int* odata, const int* idata) { + int dMax = ilog2ceil(n); + int extended_n = 1 << dMax; + int blockSize = 256; + if (extended_n < blockSize) { + scan(n, odata, idata); + return; + } + dim3 fullBlocksPerGrid = ((n + blockSize - 1) / blockSize); + + int* dev_data; + int* dev_blockSum; + cudaMalloc((void**)&dev_data, sizeof(int) * extended_n); + cudaMalloc((void**)&dev_blockSum, sizeof(int) * extended_n); + cudaMemset(dev_data, 0, sizeof(int) * extended_n); + cudaMemcpy(dev_data, idata, sizeof(int) * n, cudaMemcpyHostToDevice); + timer().startGpuTimer(); + kernPrescanInplace << > > (extended_n, dev_data, dev_blockSum); + scanInplace(extended_n / blockSize, dev_blockSum); + kernAddBlockSum << > > (dev_data, dev_blockSum, n); + timer().endGpuTimer(); + cudaMemcpy(odata, dev_data, sizeof(int) * n, cudaMemcpyDeviceToHost); + cudaFree(dev_data); + cudaFree(dev_blockSum); + } + __global__ void kernMapToBoolean(int n, int* bools, const int* idata) { int index = blockIdx.x * blockDim.x + threadIdx.x; if (index > n)return; diff --git a/stream_compaction/efficient.h b/stream_compaction/efficient.h index 826a8a4..360a76b 100644 --- a/stream_compaction/efficient.h +++ b/stream_compaction/efficient.h @@ -10,6 +10,8 @@ namespace StreamCompaction { void scan(int n, int *odata, const int *idata); + void scanShared(int n, int *odata, const int *idata); + int compact(int n, int *odata, const int *idata); } } From b3f9a8f6f872518dce18a42bc162f172201302da Mon Sep 17 00:00:00 2001 From: GrahamZen <931252924@qq.com> Date: Sun, 17 Sep 2023 15:33:29 -0400 Subject: [PATCH 10/17] reduce bank conflict --- stream_compaction/efficient.cu | 41 ++++++++++++++++++++++------------ 1 file changed, 27 insertions(+), 14 deletions(-) diff --git a/stream_compaction/efficient.cu b/stream_compaction/efficient.cu index 27829ad..288c3ff 100644 --- a/stream_compaction/efficient.cu +++ b/stream_compaction/efficient.cu @@ -2,6 +2,7 @@ #include #include "common.h" #include "efficient.h" +#define REDUCE_BANK_CONFLICT 1 namespace StreamCompaction { namespace Efficient { @@ -12,6 +13,14 @@ namespace StreamCompaction { return timer; } + __device__ __forceinline__ int computeIndex(int idx) { +#if REDUCE_BANK_CONFLICT + return idx + (idx >> 6); +#else + return idx; +#endif + } + __global__ void kernUpSweep(const int n, int* data, const int stride) { int index = blockIdx.x * blockDim.x + threadIdx.x + 1; if (index > n)return; @@ -39,9 +48,9 @@ namespace StreamCompaction { return; int offset = 1; - temp[thid] = data[index]; + temp[computeIndex(thid)] = data[index]; if (thid == blockDim.x - 1) - last = temp[blockDim.x - 1]; + last = temp[computeIndex(blockDim.x - 1)]; __syncthreads(); // build sum in place up the tree @@ -52,12 +61,13 @@ namespace StreamCompaction { { int ai = offset * (2 * thid + 1) - 1; int bi = ai + offset; - temp[bi] += temp[ai]; + temp[computeIndex(bi)] += temp[computeIndex(ai)]; } offset *= 2; } // clear the last element - if (thid == 0) { temp[blockDim.x - 1] = 0; } + if (thid == 0) { temp[computeIndex(blockDim.x - 1)] = 0; } + __syncthreads(); // traverse down tree & build scan for (int d = 1; d < blockDim.x; d *= 2) { @@ -67,15 +77,15 @@ namespace StreamCompaction { { int ai = offset * (2 * thid + 1) - 1; int bi = ai + offset; - int t = temp[ai]; - temp[ai] = temp[bi]; - temp[bi] += t; + int t = temp[computeIndex(ai)]; + temp[computeIndex(ai)] = temp[computeIndex(bi)]; + temp[computeIndex(bi)] += t; } __syncthreads(); } - data[index] = temp[thid]; + data[index] = temp[computeIndex(thid)]; if (thid == 0) { - blockSum[blockIdx.x] = last + temp[blockDim.x - 1]; + blockSum[blockIdx.x] = last + temp[computeIndex(blockDim.x - 1)]; } } @@ -125,6 +135,13 @@ namespace StreamCompaction { cudaFree(dev_data); } + void scanShared_(int n, int* dev_data, int* dev_blockSum, int blockSize) { + dim3 fullBlocksPerGrid = ((n + blockSize - 1) / blockSize); + kernPrescanInplace << > > (n, dev_data, dev_blockSum); + scanInplace(n / blockSize, dev_blockSum); + kernAddBlockSum << > > (dev_data, dev_blockSum, n); + } + void scanShared(int n, int* odata, const int* idata) { int dMax = ilog2ceil(n); int extended_n = 1 << dMax; @@ -133,8 +150,6 @@ namespace StreamCompaction { scan(n, odata, idata); return; } - dim3 fullBlocksPerGrid = ((n + blockSize - 1) / blockSize); - int* dev_data; int* dev_blockSum; cudaMalloc((void**)&dev_data, sizeof(int) * extended_n); @@ -142,9 +157,7 @@ namespace StreamCompaction { cudaMemset(dev_data, 0, sizeof(int) * extended_n); cudaMemcpy(dev_data, idata, sizeof(int) * n, cudaMemcpyHostToDevice); timer().startGpuTimer(); - kernPrescanInplace << > > (extended_n, dev_data, dev_blockSum); - scanInplace(extended_n / blockSize, dev_blockSum); - kernAddBlockSum << > > (dev_data, dev_blockSum, n); + scanShared_(extended_n, dev_data, dev_blockSum, blockSize); timer().endGpuTimer(); cudaMemcpy(odata, dev_data, sizeof(int) * n, cudaMemcpyDeviceToHost); cudaFree(dev_data); From bac1eb47bb4efd6e672d3812adce3052feca1c1b Mon Sep 17 00:00:00 2001 From: GrahamZen <931252924@qq.com> Date: Sun, 17 Sep 2023 18:07:28 -0400 Subject: [PATCH 11/17] update scan shared --- stream_compaction/efficient.cu | 30 ++++++++++++++++++--- stream_compaction/efficient.h | 49 +++++++++++++++++++++++++++++++--- 2 files changed, 73 insertions(+), 6 deletions(-) diff --git a/stream_compaction/efficient.cu b/stream_compaction/efficient.cu index 288c3ff..bd64a82 100644 --- a/stream_compaction/efficient.cu +++ b/stream_compaction/efficient.cu @@ -135,14 +135,14 @@ namespace StreamCompaction { cudaFree(dev_data); } - void scanShared_(int n, int* dev_data, int* dev_blockSum, int blockSize) { + void scanSharedNaive_(int n, int* dev_data, int* dev_blockSum, int blockSize) { dim3 fullBlocksPerGrid = ((n + blockSize - 1) / blockSize); kernPrescanInplace << > > (n, dev_data, dev_blockSum); scanInplace(n / blockSize, dev_blockSum); kernAddBlockSum << > > (dev_data, dev_blockSum, n); } - void scanShared(int n, int* odata, const int* idata) { + void scanSharedNaive(int n, int* odata, const int* idata) { int dMax = ilog2ceil(n); int extended_n = 1 << dMax; int blockSize = 256; @@ -157,13 +157,37 @@ namespace StreamCompaction { cudaMemset(dev_data, 0, sizeof(int) * extended_n); cudaMemcpy(dev_data, idata, sizeof(int) * n, cudaMemcpyHostToDevice); timer().startGpuTimer(); - scanShared_(extended_n, dev_data, dev_blockSum, blockSize); + scanSharedNaive_(extended_n, dev_data, dev_blockSum, blockSize); timer().endGpuTimer(); cudaMemcpy(odata, dev_data, sizeof(int) * n, cudaMemcpyDeviceToHost); cudaFree(dev_data); cudaFree(dev_blockSum); } + void scanShared(int n, int* odata, const int* idata) { + int dMax = ilog2ceil(n); + int extended_n = 1 << dMax; + int blockSize = 128; + if (extended_n < blockSize) { + scan(n, odata, idata); + return; + } + devDataBuffer buffer(extended_n, blockSize, 1); + cudaMemcpy(buffer.data(), idata, sizeof(int) * n, cudaMemcpyHostToDevice); + timer().startGpuTimer(); + int i = 0; + for (i = 0; i < buffer.size()-1; i++) { + kernPrescanInplace << > > (buffer.sizeAt(i), buffer[i], buffer[i + 1]); + } + //scanInplace(buffer.sizeAt(i), buffer[i]); + cudaMemset(buffer[i], 0, sizeof(int)); + for (int i = buffer.size()-1; i >= 1; i--) { + kernAddBlockSum << > > (buffer[i - 1], buffer[i], buffer.sizeAt(i-1)); + } + timer().endGpuTimer(); + cudaMemcpy(odata, buffer.data(), sizeof(int) * n, cudaMemcpyDeviceToHost); + } + __global__ void kernMapToBoolean(int n, int* bools, const int* idata) { int index = blockIdx.x * blockDim.x + threadIdx.x; if (index > n)return; diff --git a/stream_compaction/efficient.h b/stream_compaction/efficient.h index 360a76b..7525ec7 100644 --- a/stream_compaction/efficient.h +++ b/stream_compaction/efficient.h @@ -1,17 +1,60 @@ #pragma once #include "common.h" +#include namespace StreamCompaction { namespace Efficient { + class devDataBuffer { + private: + int* dev_data; + int totalSize, size_; + std::vector sizes; + std::vector offsets; + public: + devDataBuffer(int n, int blockSize, int minSize) :totalSize(0), size_(1) { + int extenedSize = BLOCKPERGRID(n, blockSize) * blockSize; + while (extenedSize > minSize) { + size_++; + sizes.push_back(extenedSize); + offsets.push_back(totalSize); + totalSize += extenedSize; + extenedSize = BLOCKPERGRID(extenedSize, blockSize); + } + sizes.push_back(extenedSize); + offsets.push_back(totalSize); + totalSize += extenedSize; + cudaMalloc((void**)&dev_data, sizeof(int) * totalSize); + } + ~devDataBuffer() { + cudaFree(dev_data); + } + int* operator[](int i) const { + return dev_data + offsets[i]; + } + int* data() const { + return dev_data; + } + int size() const { + return size_; + } + int memCnt()const { + return totalSize; + } + int sizeAt(int i) const { + return sizes[i]; + } + + }; + StreamCompaction::Common::PerformanceTimer& timer(); void scanInplace(int n, int* dev_data); - void scan(int n, int *odata, const int *idata); + void scan(int n, int* odata, const int* idata); - void scanShared(int n, int *odata, const int *idata); + void scanShared(int n, int* odata, const int* idata); - int compact(int n, int *odata, const int *idata); + int compact(int n, int* odata, const int* idata); } } From 9d704cae1a53816882fbde727ce3e21c8bf82004 Mon Sep 17 00:00:00 2001 From: GrahamZen <931252924@qq.com> Date: Sun, 17 Sep 2023 21:52:37 -0400 Subject: [PATCH 12/17] fixed shared memory fail --- stream_compaction/common.h | 1 + stream_compaction/efficient.cu | 21 +++++++++------------ stream_compaction/efficient.h | 19 ++++++++++--------- stream_compaction/naive.cu | 2 +- stream_compaction/radixSort.cu | 2 +- 5 files changed, 22 insertions(+), 23 deletions(-) diff --git a/stream_compaction/common.h b/stream_compaction/common.h index 263f7ca..c9e2997 100644 --- a/stream_compaction/common.h +++ b/stream_compaction/common.h @@ -12,6 +12,7 @@ #define FILENAME (strrchr(__FILE__, '/') ? strrchr(__FILE__, '/') + 1 : __FILE__) #define checkCUDAError(msg) checkCUDAErrorFn(msg, FILENAME, __LINE__) +#define BLOCKSPERGRID(n, blockSize) ((n + blockSize - 1) / blockSize) constexpr int blockSize = 128; /** diff --git a/stream_compaction/efficient.cu b/stream_compaction/efficient.cu index bd64a82..48f6232 100644 --- a/stream_compaction/efficient.cu +++ b/stream_compaction/efficient.cu @@ -81,8 +81,8 @@ namespace StreamCompaction { temp[computeIndex(ai)] = temp[computeIndex(bi)]; temp[computeIndex(bi)] += t; } - __syncthreads(); } + __syncthreads(); data[index] = temp[computeIndex(thid)]; if (thid == 0) { blockSum[blockIdx.x] = last + temp[computeIndex(blockDim.x - 1)]; @@ -106,13 +106,13 @@ namespace StreamCompaction { dim3 fullBlocksPerGrid; for (int i = 1, int n = strideMax; i < strideMax; i <<= 1, n >>= 1) { - fullBlocksPerGrid = ((n + blockSize - 1) / blockSize); + fullBlocksPerGrid = BLOCKSPERGRID(n, blockSize); kernUpSweep << > > (n, dev_data, i); } cudaMemset(&dev_data[n - 1], 0, sizeof(int)); for (int i = strideMax, int n = 1; i >= 1; i >>= 1, n <<= 1) { - fullBlocksPerGrid = ((n + blockSize - 1) / blockSize); + fullBlocksPerGrid = BLOCKSPERGRID(n, blockSize); kernDownSweep << > > (n, dev_data, i); } } @@ -136,7 +136,7 @@ namespace StreamCompaction { } void scanSharedNaive_(int n, int* dev_data, int* dev_blockSum, int blockSize) { - dim3 fullBlocksPerGrid = ((n + blockSize - 1) / blockSize); + dim3 fullBlocksPerGrid = BLOCKSPERGRID(n, blockSize); kernPrescanInplace << > > (n, dev_data, dev_blockSum); scanInplace(n / blockSize, dev_blockSum); kernAddBlockSum << > > (dev_data, dev_blockSum, n); @@ -145,7 +145,6 @@ namespace StreamCompaction { void scanSharedNaive(int n, int* odata, const int* idata) { int dMax = ilog2ceil(n); int extended_n = 1 << dMax; - int blockSize = 256; if (extended_n < blockSize) { scan(n, odata, idata); return; @@ -167,7 +166,6 @@ namespace StreamCompaction { void scanShared(int n, int* odata, const int* idata) { int dMax = ilog2ceil(n); int extended_n = 1 << dMax; - int blockSize = 128; if (extended_n < blockSize) { scan(n, odata, idata); return; @@ -176,13 +174,12 @@ namespace StreamCompaction { cudaMemcpy(buffer.data(), idata, sizeof(int) * n, cudaMemcpyHostToDevice); timer().startGpuTimer(); int i = 0; - for (i = 0; i < buffer.size()-1; i++) { + for (i = 0; i < buffer.size() - 1; i++) { kernPrescanInplace << > > (buffer.sizeAt(i), buffer[i], buffer[i + 1]); } - //scanInplace(buffer.sizeAt(i), buffer[i]); - cudaMemset(buffer[i], 0, sizeof(int)); - for (int i = buffer.size()-1; i >= 1; i--) { - kernAddBlockSum << > > (buffer[i - 1], buffer[i], buffer.sizeAt(i-1)); + scanInplace(buffer.sizeAt(i), buffer[i]); + for (int i = buffer.size() - 1; i >= 1; i--) { + kernAddBlockSum << > > (buffer[i - 1], buffer[i], buffer.sizeAt(i - 1)); } timer().endGpuTimer(); cudaMemcpy(odata, buffer.data(), sizeof(int) * n, cudaMemcpyDeviceToHost); @@ -218,7 +215,7 @@ namespace StreamCompaction { cudaMemcpy(dev_idata, idata, sizeof(int) * n, cudaMemcpyHostToDevice); cudaMemset(dev_odata, 0, sizeof(int) * n); cudaMemset(dev_indices, 0, sizeof(int) * extended_n); - dim3 fullBlocksPerGrid = ((n + blockSize - 1) / blockSize); + dim3 fullBlocksPerGrid = BLOCKSPERGRID(n, blockSize); timer().startGpuTimer(); // DONE kernMapToBoolean << > > (n, dev_indices, dev_idata); diff --git a/stream_compaction/efficient.h b/stream_compaction/efficient.h index 7525ec7..23783a9 100644 --- a/stream_compaction/efficient.h +++ b/stream_compaction/efficient.h @@ -12,18 +12,18 @@ namespace StreamCompaction { std::vector sizes; std::vector offsets; public: - devDataBuffer(int n, int blockSize, int minSize) :totalSize(0), size_(1) { - int extenedSize = BLOCKPERGRID(n, blockSize) * blockSize; - while (extenedSize > minSize) { + devDataBuffer(int n, int blockSize, int minSize) :totalSize(0), size_(0) { + int extendedSize = BLOCKSPERGRID(n, blockSize) * blockSize; + while (extendedSize > minSize) { + if (extendedSize < blockSize) { + break; + } size_++; - sizes.push_back(extenedSize); + sizes.push_back(extendedSize); offsets.push_back(totalSize); - totalSize += extenedSize; - extenedSize = BLOCKPERGRID(extenedSize, blockSize); + totalSize += extendedSize; + extendedSize = BLOCKSPERGRID(extendedSize, blockSize); } - sizes.push_back(extenedSize); - offsets.push_back(totalSize); - totalSize += extenedSize; cudaMalloc((void**)&dev_data, sizeof(int) * totalSize); } ~devDataBuffer() { @@ -54,6 +54,7 @@ namespace StreamCompaction { void scan(int n, int* odata, const int* idata); void scanShared(int n, int* odata, const int* idata); + void scanSharedNaive(int n, int* odata, const int* idata); int compact(int n, int* odata, const int* idata); } diff --git a/stream_compaction/naive.cu b/stream_compaction/naive.cu index e2c8ff7..96c4d72 100644 --- a/stream_compaction/naive.cu +++ b/stream_compaction/naive.cu @@ -30,7 +30,7 @@ namespace StreamCompaction { cudaMalloc((void**)&dev_idata, n * sizeof(int)); cudaMalloc((void**)&dev_odata, n * sizeof(int)); cudaMemcpy(dev_idata+1, idata, (n - 1) * sizeof(int), cudaMemcpyHostToDevice); - dim3 fullBlocksPerGrid((n + blockSize - 1) / blockSize); + dim3 fullBlocksPerGrid = BLOCKSPERGRID(n, blockSize); timer().startGpuTimer(); // DONE for (int i = 1; i <= dMax; i++) diff --git a/stream_compaction/radixSort.cu b/stream_compaction/radixSort.cu index 41343fb..e4a4dbe 100644 --- a/stream_compaction/radixSort.cu +++ b/stream_compaction/radixSort.cu @@ -36,7 +36,7 @@ namespace StreamCompaction { void sort(int n, int* odata, const int* idata, int numBits) { int extended_n = 1 << ilog2ceil(n); - dim3 fullBlocksPerGrid((n + blockSize - 1) / blockSize); + dim3 fullBlocksPerGrid = BLOCKSPERGRID(n, blockSize); int* dev_idata; int* dev_odata; int* dev_falses; From 79369c892be37560ac5793a107fc2913fbb77d51 Mon Sep 17 00:00:00 2001 From: GrahamZen <931252924@qq.com> Date: Sun, 17 Sep 2023 22:00:59 -0400 Subject: [PATCH 13/17] add test for shared memory --- src/main.cpp | 14 ++++++++++++++ stream_compaction/efficient.cu | 2 +- stream_compaction/efficient.h | 4 ++-- 3 files changed, 17 insertions(+), 3 deletions(-) diff --git a/src/main.cpp b/src/main.cpp index 0f71c10..962dc3f 100644 --- a/src/main.cpp +++ b/src/main.cpp @@ -83,6 +83,20 @@ int main(int argc, char* argv[]) { //printArray(NPOT, c, true); printCmpResult(NPOT, b, c); + zeroArray(SIZE, c); + printDesc("work-efficient scan (shared memory), power-of-two"); + StreamCompaction::Efficient::scanShared(SIZE, c, a); + printElapsedTime(StreamCompaction::Efficient::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); + //printArray(SIZE, c, true); + printCmpResult(SIZE, b, c); + + zeroArray(SIZE, c); + printDesc("work-efficient scan (shared memory), non-power-of-two"); + StreamCompaction::Efficient::scanShared(NPOT, c, a); + printElapsedTime(StreamCompaction::Efficient::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); + //printArray(NPOT, c, true); + printCmpResult(NPOT, b, c); + zeroArray(SIZE, c); printDesc("thrust scan, power-of-two"); StreamCompaction::Thrust::scan(SIZE, c, a); diff --git a/stream_compaction/efficient.cu b/stream_compaction/efficient.cu index 48f6232..768e921 100644 --- a/stream_compaction/efficient.cu +++ b/stream_compaction/efficient.cu @@ -170,7 +170,7 @@ namespace StreamCompaction { scan(n, odata, idata); return; } - devDataBuffer buffer(extended_n, blockSize, 1); + devDataBuffer buffer(extended_n, blockSize); cudaMemcpy(buffer.data(), idata, sizeof(int) * n, cudaMemcpyHostToDevice); timer().startGpuTimer(); int i = 0; diff --git a/stream_compaction/efficient.h b/stream_compaction/efficient.h index 23783a9..6a9841a 100644 --- a/stream_compaction/efficient.h +++ b/stream_compaction/efficient.h @@ -12,9 +12,9 @@ namespace StreamCompaction { std::vector sizes; std::vector offsets; public: - devDataBuffer(int n, int blockSize, int minSize) :totalSize(0), size_(0) { + devDataBuffer(int n, int blockSize) :totalSize(0), size_(0) { int extendedSize = BLOCKSPERGRID(n, blockSize) * blockSize; - while (extendedSize > minSize) { + while (extendedSize > 1) { if (extendedSize < blockSize) { break; } From 5efc3d433b4de03f5b644470e0500161d94455a1 Mon Sep 17 00:00:00 2001 From: GrahamZen <931252924@qq.com> Date: Mon, 18 Sep 2023 15:59:21 -0400 Subject: [PATCH 14/17] update CONFLICT_FREE_OFFSET --- stream_compaction/efficient.cu | 3 ++- 1 file changed, 2 insertions(+), 1 deletion(-) diff --git a/stream_compaction/efficient.cu b/stream_compaction/efficient.cu index 768e921..95e8bb9 100644 --- a/stream_compaction/efficient.cu +++ b/stream_compaction/efficient.cu @@ -3,6 +3,7 @@ #include "common.h" #include "efficient.h" #define REDUCE_BANK_CONFLICT 1 +#define CONFLICT_FREE_OFFSET(n) ((n) >> 6) namespace StreamCompaction { namespace Efficient { @@ -15,7 +16,7 @@ namespace StreamCompaction { __device__ __forceinline__ int computeIndex(int idx) { #if REDUCE_BANK_CONFLICT - return idx + (idx >> 6); + return idx + CONFLICT_FREE_OFFSET(idx); #else return idx; #endif From 082f56a6a5e9116f9d9b48d42c9c417f49145926 Mon Sep 17 00:00:00 2001 From: GrahamZen <931252924@qq.com> Date: Mon, 18 Sep 2023 22:08:13 -0400 Subject: [PATCH 15/17] remove memcpy --- stream_compaction/radixSort.cu | 2 -- 1 file changed, 2 deletions(-) diff --git a/stream_compaction/radixSort.cu b/stream_compaction/radixSort.cu index e4a4dbe..f334b5e 100644 --- a/stream_compaction/radixSort.cu +++ b/stream_compaction/radixSort.cu @@ -49,7 +49,6 @@ namespace StreamCompaction { for (int mask = 1; mask < maxMask; mask <<= 1) { kernMapToBoolean << > > (n, dev_falses, dev_idata, mask); - cudaMemcpy(odata, dev_falses, n * sizeof(int), cudaMemcpyDeviceToHost); StreamCompaction::Efficient::scanInplace(extended_n, dev_falses); int totalFalses = 0, tmp_back = 0; cudaMemcpy(&totalFalses, dev_falses + n - 1, sizeof(int), cudaMemcpyDeviceToHost); @@ -57,7 +56,6 @@ namespace StreamCompaction { totalFalses += (tmp_back & mask) == 0; kernScatter << > > (n, dev_odata, dev_idata, dev_falses, mask, totalFalses); std::swap(dev_idata, dev_odata); - cudaMemcpy(odata, dev_idata, n * sizeof(int), cudaMemcpyDeviceToHost); } timer().endGpuTimer(); cudaMemcpy(odata, dev_idata, n * sizeof(int), cudaMemcpyDeviceToHost); From e4b16f29d4fd579e891adfb0d1e2555697bb94ad Mon Sep 17 00:00:00 2001 From: GrahamZen <931252924@qq.com> Date: Tue, 19 Sep 2023 17:25:51 -0400 Subject: [PATCH 16/17] add radix sort with shared memory and tests --- src/main.cpp | 16 +++++++++++-- stream_compaction/common.h | 42 +++++++++++++++++++++++++++++++++ stream_compaction/efficient.cu | 13 ++++++++-- stream_compaction/efficient.h | 43 +--------------------------------- stream_compaction/radixSort.cu | 32 +++++++++++++++++++++++-- stream_compaction/radixSort.h | 1 + 6 files changed, 99 insertions(+), 48 deletions(-) diff --git a/src/main.cpp b/src/main.cpp index 962dc3f..fd5d2e3 100644 --- a/src/main.cpp +++ b/src/main.cpp @@ -14,8 +14,8 @@ #include #include "testing_helpers.hpp" -const int NUMBITS = 20; // for radix sort -const int SIZE = 1 << 8; // feel free to change the size of array +const int NUMBITS = 31; // for radix sort +const int SIZE = 1 << 28; // 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]; @@ -183,6 +183,13 @@ int main(int argc, char* argv[]) { printCmpLenResult(SIZE, SIZE, b, c); + zeroArray(SIZE, c); + StreamCompaction::RadixSort::sortShared(SIZE, c, a, NUMBITS); + printDesc("radix-sort (shared memory), power-of-two"); + printElapsedTime(StreamCompaction::RadixSort::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); + printCmpLenResult(SIZE, SIZE, b, c); + + zeroArray(SIZE, b); printDesc("cpu std::sort, non-power-of-two"); StreamCompaction::CPU::sort(NPOT, b, a); @@ -192,6 +199,11 @@ int main(int argc, char* argv[]) { StreamCompaction::RadixSort::sort(NPOT, c, a, NUMBITS); printDesc("radix-sort, non-power-of-two"); printElapsedTime(StreamCompaction::RadixSort::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); + + zeroArray(SIZE, c); + StreamCompaction::RadixSort::sortShared(NPOT, c, a, NUMBITS); + printDesc("radix-sort (shared memory), non-power-of-two"); + printElapsedTime(StreamCompaction::RadixSort::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); //printArray(NPOT, c, true); printCmpLenResult(NPOT, NPOT, b, c); diff --git a/stream_compaction/common.h b/stream_compaction/common.h index c9e2997..5a014a7 100644 --- a/stream_compaction/common.h +++ b/stream_compaction/common.h @@ -9,6 +9,7 @@ #include #include #include +#include #define FILENAME (strrchr(__FILE__, '/') ? strrchr(__FILE__, '/') + 1 : __FILE__) #define checkCUDAError(msg) checkCUDAErrorFn(msg, FILENAME, __LINE__) @@ -35,6 +36,47 @@ inline int ilog2ceil(int x) { namespace StreamCompaction { namespace Common { + class devDataBuffer { + private: + int* dev_data; + int totalSize, size_; + std::vector sizes; + std::vector offsets; + public: + devDataBuffer(int n, int blockSize) :totalSize(0), size_(0) { + int extendedSize = BLOCKSPERGRID(n, blockSize) * blockSize; + while (extendedSize > 1) { + if (extendedSize < blockSize) { + break; + } + size_++; + sizes.push_back(extendedSize); + offsets.push_back(totalSize); + totalSize += extendedSize; + extendedSize = BLOCKSPERGRID(extendedSize, blockSize); + } + cudaMalloc((void**)&dev_data, sizeof(int) * totalSize); + } + ~devDataBuffer() { + cudaFree(dev_data); + } + int* operator[](int i) const { + return dev_data + offsets[i]; + } + int* data() const { + return dev_data; + } + int size() const { + return size_; + } + int memCnt()const { + return totalSize; + } + int sizeAt(int i) const { + return sizes[i]; + } + + }; __global__ void kernMapToBoolean(int n, int *bools, const int *idata); __global__ void kernScatter(int n, int *odata, diff --git a/stream_compaction/efficient.cu b/stream_compaction/efficient.cu index 95e8bb9..a8eaac7 100644 --- a/stream_compaction/efficient.cu +++ b/stream_compaction/efficient.cu @@ -163,7 +163,16 @@ namespace StreamCompaction { cudaFree(dev_data); cudaFree(dev_blockSum); } - + void scanSharedInplace(int n, Common::devDataBuffer& buffer) { + int i = 0; + for (i = 0; i < buffer.size() - 1; i++) { + kernPrescanInplace << > > (buffer.sizeAt(i), buffer[i], buffer[i + 1]); + } + scanInplace(buffer.sizeAt(i), buffer[i]); + for (int i = buffer.size() - 1; i >= 1; i--) { + kernAddBlockSum << > > (buffer[i - 1], buffer[i], buffer.sizeAt(i - 1)); + } + } void scanShared(int n, int* odata, const int* idata) { int dMax = ilog2ceil(n); int extended_n = 1 << dMax; @@ -171,7 +180,7 @@ namespace StreamCompaction { scan(n, odata, idata); return; } - devDataBuffer buffer(extended_n, blockSize); + Common::devDataBuffer buffer(extended_n, blockSize); cudaMemcpy(buffer.data(), idata, sizeof(int) * n, cudaMemcpyHostToDevice); timer().startGpuTimer(); int i = 0; diff --git a/stream_compaction/efficient.h b/stream_compaction/efficient.h index 6a9841a..3150e5c 100644 --- a/stream_compaction/efficient.h +++ b/stream_compaction/efficient.h @@ -1,57 +1,16 @@ #pragma once #include "common.h" -#include namespace StreamCompaction { namespace Efficient { - class devDataBuffer { - private: - int* dev_data; - int totalSize, size_; - std::vector sizes; - std::vector offsets; - public: - devDataBuffer(int n, int blockSize) :totalSize(0), size_(0) { - int extendedSize = BLOCKSPERGRID(n, blockSize) * blockSize; - while (extendedSize > 1) { - if (extendedSize < blockSize) { - break; - } - size_++; - sizes.push_back(extendedSize); - offsets.push_back(totalSize); - totalSize += extendedSize; - extendedSize = BLOCKSPERGRID(extendedSize, blockSize); - } - cudaMalloc((void**)&dev_data, sizeof(int) * totalSize); - } - ~devDataBuffer() { - cudaFree(dev_data); - } - int* operator[](int i) const { - return dev_data + offsets[i]; - } - int* data() const { - return dev_data; - } - int size() const { - return size_; - } - int memCnt()const { - return totalSize; - } - int sizeAt(int i) const { - return sizes[i]; - } - - }; StreamCompaction::Common::PerformanceTimer& timer(); void scanInplace(int n, int* dev_data); void scan(int n, int* odata, const int* idata); + void scanSharedInplace(int n, Common::devDataBuffer& buffer); void scanShared(int n, int* odata, const int* idata); void scanSharedNaive(int n, int* odata, const int* idata); diff --git a/stream_compaction/radixSort.cu b/stream_compaction/radixSort.cu index f334b5e..76107da 100644 --- a/stream_compaction/radixSort.cu +++ b/stream_compaction/radixSort.cu @@ -45,8 +45,8 @@ namespace StreamCompaction { cudaMalloc((void**)&dev_falses, extended_n * sizeof(int)); cudaMemcpy(dev_idata, idata, n * sizeof(int), cudaMemcpyHostToDevice); timer().startGpuTimer(); - int maxMask = 1 << numBits; - for (int mask = 1; mask < maxMask; mask <<= 1) + unsigned maxMask = 1 << numBits; + for (unsigned mask = 1; mask < maxMask; mask <<= 1) { kernMapToBoolean << > > (n, dev_falses, dev_idata, mask); StreamCompaction::Efficient::scanInplace(extended_n, dev_falses); @@ -64,5 +64,33 @@ namespace StreamCompaction { cudaFree(dev_falses); } + void sortShared(int n, int* odata, const int* idata, int numBits) { + int extended_n = 1 << ilog2ceil(n); + dim3 fullBlocksPerGrid = BLOCKSPERGRID(n, blockSize); + int* dev_idata; + int* dev_odata; + cudaMalloc((void**)&dev_idata, n * sizeof(int)); + cudaMalloc((void**)&dev_odata, n * sizeof(int)); + Common::devDataBuffer buffer(extended_n, blockSize); + cudaMemcpy(dev_idata, idata, n * sizeof(int), cudaMemcpyHostToDevice); + timer().startGpuTimer(); + unsigned int maxMask = 1 << numBits; + for (unsigned mask = 1; mask < maxMask; mask <<= 1) + { + kernMapToBoolean << > > (n, buffer.data(), dev_idata, mask); + StreamCompaction::Efficient::scanSharedInplace(extended_n, buffer); + int totalFalses = 0, tmp_back = 0; + cudaMemcpy(&totalFalses, buffer.data() + n - 1, sizeof(int), cudaMemcpyDeviceToHost); + cudaMemcpy(&tmp_back, dev_idata + n - 1, sizeof(int), cudaMemcpyDeviceToHost); + totalFalses += (tmp_back & mask) == 0; + kernScatter << > > (n, dev_odata, dev_idata, buffer.data(), mask, totalFalses); + std::swap(dev_idata, dev_odata); + } + timer().endGpuTimer(); + cudaMemcpy(odata, dev_idata, n * sizeof(int), cudaMemcpyDeviceToHost); + cudaFree(dev_idata); + cudaFree(dev_odata); + } + } } diff --git a/stream_compaction/radixSort.h b/stream_compaction/radixSort.h index c4d6538..5a53f38 100644 --- a/stream_compaction/radixSort.h +++ b/stream_compaction/radixSort.h @@ -7,5 +7,6 @@ namespace StreamCompaction { StreamCompaction::Common::PerformanceTimer& timer(); void sort(int n, int* odata, const int* idata, int numBits); + void sortShared(int n, int* odata, const int* idata, int numBits); } } From 4afcf84ae02ddab17ab8c3ac604147a41c6efb47 Mon Sep 17 00:00:00 2001 From: GrahamZen <931252924@qq.com> Date: Tue, 19 Sep 2023 21:02:41 -0400 Subject: [PATCH 17/17] add readme --- README.md | 206 ++++++++++++++++++++++++++++++++- image/README/1695064484197.png | Bin 0 -> 14969 bytes image/README/1695064497269.png | Bin 0 -> 14467 bytes image/README/1695064518909.png | Bin 0 -> 30703 bytes image/README/1695092955546.png | Bin 0 -> 399076 bytes image/README/bankconflict.png | Bin 0 -> 86373 bytes image/README/compact.png | Bin 0 -> 48369 bytes image/README/scan.png | Bin 0 -> 75796 bytes image/README/sort.png | Bin 0 -> 59492 bytes 9 files changed, 200 insertions(+), 6 deletions(-) create mode 100644 image/README/1695064484197.png create mode 100644 image/README/1695064497269.png create mode 100644 image/README/1695064518909.png create mode 100644 image/README/1695092955546.png create mode 100644 image/README/bankconflict.png create mode 100644 image/README/compact.png create mode 100644 image/README/scan.png create mode 100644 image/README/sort.png diff --git a/README.md b/README.md index 0e38ddb..4c55cd8 100644 --- a/README.md +++ b/README.md @@ -3,12 +3,206 @@ 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) +* Gehan Zheng + * [LinkedIn](https://www.linkedin.com/in/gehan-zheng-05877b24a/), [personal website](https://grahamzen.github.io/). +* Tested on: Windows 10, AMD Ryzen 7 5800H @ 3.2GHz 16GB, GeForce RTX 3060 Laptop 6144MB (Personal Laptop) -### (TODO: Your README) +## Features -Include analysis, etc. (Remember, this is public, so don't put -anything here that you don't want to share with the world.) +This project implements the following algorithms on CPU and GPU. All extra parts are implemented: +* Scan + + * CPU Scan (Part 1) + * Naive GPU Scan (Part 2) + * Efficient GPU Scan (Part 3, 5) + * Thrust Scan (Part 4) + * GPU Scan Using Shared Memory && Hardware Optimization (Part 7) +* Stream Compaction + + * CPU Stream Compaction (Part 1) + * GPU Stream Compaction (Part 3) +* Radix Sort (Part 6) + * Shared Memory Optimization + +### Comments on Part 5 + +When writing kernel functions, I use stride to compact threads in less warps from the beginning so it is faster than cpu approach for larger array size. + +### Comments on Part 7 + +GPU Scan Using Shared Memory is implemented through using following scheme (courtesy of slides(Parallel Algorithms)): + +![1695064484197](image/README/1695064484197.png) + + We can perform action of storing data into shared memory for each block, and then perform scan on each block. + Instead of performing inclusive scan as in the slides, I perform exclusive scan on each block, so that in the last step, the result is naturally exclusive scan on the whole array. Within this step, we can also compute the sum of each block inside the same kernel. Since I am performing exclusive scan, Block sums needed to be computed instead of simply using the last element of each block (still in the same kernel). + +![1695064518909](image/README/1695064518909.png) + +After we have the block sums, we can perform exclusive scan on the block sums, and then add the result to each block. However, when # of elements is large like $2^{28}$, a better way is to reuse the kernel we have written for the first step since # of block sums is still large. We will do this until # of block sums is small enough to be computed on CPU. Obviously, we should also continuously add the block sums back to the array until we get the final result. It requires much more cudaMalloc if we call cudaMalloc for computing each block sum. So I use a buffer to store both the block sums and the array, and using different offset to access them. Thanks Chang Liu for this idea. + +For reducing bank conflict, I simply add an offset to the index of shared memory. I have tried using the scheme in [GPU Gem Ch 39](https://developer.nvidia.com/gpugems/gpugems3/part-vi-gpu-computing/chapter-39-parallel-prefix-sum-scan-cuda), but it is not faster than the scheme I am using now. + +## Performance Analysis + +### Choosing Block Size + +I tested the performance of different block sizes on scan. In the table below, time is in milliseconds. + +| Block Size | 32 | 64 | 128 | 256 | 512 | +| ----------------------------------------------------- | -------: | ------: | -------: | -------: | -------: | +| Naive scan, power-of-two | 353.852 | 263.32 | 259.132 | 266.057 | 259.93 | +| Naive scan, non-power-of-two | 354.332 | 265.482 | 260.186 | 262.097 | 259.205 | +| Work-efficient scan, power-of-two | 81.0401 | 82.6295 | 83.5005 | 83.4684 | 83.6312 | +| Work-efficient scan, non-power-of-two | 81.1159 | 82.5769 | 84.338 | 83.9051 | 83.9558 | +| Work-efficient scan (shared memory), power-of-two | 46.8579 | 27.9556 | 22.0506 | 23.4973 | 26.1206 | +| Work-efficient scan (shared memory), non-power-of-two | 46.3985 | 28.2063 | 22.0158 | 23.4613 | 26.032 | +| Thrust scan, power-of-two | 9.61946 | 9.43411 | 9.40954 | 9.66554 | 9.69523 | +| Thrust scan, non-power-of-two | 9.2928 | 9.81402 | 9.55187 | 9.22931 | 9.29382 | +| Average | 122.8136 | 96.1773 | 93.77304 | 95.17262 | 94.73296 | + +Though the performance difference is not significant, from the table above, we can still easily find that the best block size is 128, which outperforms other block sizes in most cases. + +### Comparing different algorithms + +* Scan + +For clarity, I only plot the performance of non-power-of-two scan. + +![scan](image/README/scan.png) + +Excitingly, in several cases ($2^{20}, 2^{22}$), work-efficient scan using shared memory is faster than Thrust scan. My guess is that Thrust scan isn't well-optimized for these array sizes because it is designed for larger array sizes and it's hard to optimize for every array size. + +* Stream Compaction +![compact](image/README/compact.png) + +* Radix Sort + +For Radix sort, I tested performance of sorting integers within range [0, 2^31-1]. + +![sort](image/README/sort.png) + +From the figure above, we can see that Radix sort is much faster than std::sort when array size is comparatively large, and it is even faster when optimizing for shared memory. + + +* Comparing Scan w/ and w/o bank conflict reduction + +![bankconflict](image/README/bankconflict.png) + +We can see a roughly 20% performance improvement when using bank conflict reduction, and the performance improvement is more significant when array size is large. +#### Guess about implementation of Thrust Scan + +![1695092955546](image/README/1695092955546.png) + +From the profile we can see that Thrust Scan launches 3 kernels. I confirm that they are launched in this order by observing the order of the kernels while profiling. +Since DeviceScanKernel uses 56 registers, much more than any other kernels, I guess it is the kernel for computing scan. From the name I guess what another two kernels has done is to prepare for the context of DeviceScanKernel kernel. + + +Since I don't know any details about the implementation of Thrust Scan, I will not explain the performance of Thrust Scan. + +### Phenomena we can observe from the figure of Scan +* For small array size, CPU scan is much faster than GPU scan. + * It is because the overhead of launching kernel is much larger than the time spent on computing scan. As the array size increases, the time spent on computing scan becomes more significant, and GPU scan outperforms CPU scan. + +* Naive scan is always slower than CPU scan, and work-efficient scan is faster than CPU scan when array size is large enough. + * It is because Naive scan launches kernel much more times than work-efficient scan, and when array size is large enough, the time spent on computing scan is much larger than the overhead of launching kernel. Though work-efficient scan is faster than CPU scan, it accesses data using global memory, which has a much lower bandwidth than shared memory. + +### Bottleneck of Scans + +* Naive Scan + * Memory I/O: Global Memory Bandwidth + * Computation: Warps' Low Occupancy due to memory access pattern (large stride). + +* Work-efficient Scan + * Memory I/O: Global Memory Bandwidth. + +* Work-efficient Scan Using Shared Memory: + * Computation: Overhead of launching kernels. + + +### Output of the test program + +I added tests for work-efficient scan with shared memory(both power-of-two and non-power-of-two), std::sort, and Radix sort with and without shared memory(both power-of-two and non-power-of-two). + +``` + +**************** +** SCAN TESTS ** +**************** + [ 23 22 5 42 29 39 9 20 41 37 14 4 27 ... 22 0 ] +==== cpu scan, power-of-two ==== + elapsed time: 245.021ms (std::chrono Measured) + [ 0 23 45 50 92 121 160 169 189 230 267 281 285 ... -2015456254 -2015456232 ] +==== cpu scan, non-power-of-two ==== + elapsed time: 195.01ms (std::chrono Measured) + [ 0 23 45 50 92 121 160 169 189 230 267 281 285 ... -2015456389 -2015456348 ] + passed +==== naive scan, power-of-two ==== + elapsed time: 260.406ms (CUDA Measured) + passed +==== naive scan, non-power-of-two ==== + elapsed time: 259.134ms (CUDA Measured) + passed +==== work-efficient scan, power-of-two ==== + elapsed time: 83.6105ms (CUDA Measured) + passed +==== work-efficient scan, non-power-of-two ==== + elapsed time: 83.6329ms (CUDA Measured) + passed +==== work-efficient scan (shared memory), power-of-two ==== + elapsed time: 22.0134ms (CUDA Measured) + passed +==== work-efficient scan (shared memory), non-power-of-two ==== + elapsed time: 21.939ms (CUDA Measured) + passed +==== thrust scan, power-of-two ==== + elapsed time: 9.83552ms (CUDA Measured) + passed +==== thrust scan, non-power-of-two ==== + elapsed time: 9.20576ms (CUDA Measured) + passed + +***************************** +** STREAM COMPACTION TESTS ** +***************************** + [ 3 0 2 0 3 3 3 2 3 0 2 3 1 ... 1 0 ] +==== cpu compact without scan, power-of-two ==== + elapsed time: 461.709ms (std::chrono Measured) + [ 3 2 3 3 3 2 3 2 3 1 1 3 3 ... 2 1 ] + passed +==== cpu compact without scan, non-power-of-two ==== + elapsed time: 461.435ms (std::chrono Measured) + [ 3 2 3 3 3 2 3 2 3 1 1 3 3 ... 3 1 ] + passed +==== cpu compact with scan ==== + elapsed time: 834.647ms (std::chrono Measured) + [ 3 2 3 3 3 2 3 2 3 1 1 3 3 ... 2 1 ] + passed +==== work-efficient compact, power-of-two ==== + elapsed time: 102.577ms (CUDA Measured) + passed +==== work-efficient compact, non-power-of-two ==== + elapsed time: 103.391ms (CUDA Measured) + passed + +***************************** +** RADIX-SORT TESTS ** +***************************** + [ 22645 21411 14651 15547 10324 2673 8146 27956 23148 22752 30878 16323 20512 ... 24259 0 ] +==== cpu std::sort, power-of-two ==== + elapsed time: 12380.9ms (std::chrono Measured) +==== radix-sort, power-of-two ==== + elapsed time: 3215.3ms (CUDA Measured) + passed +==== radix-sort (shared memory), power-of-two ==== + elapsed time: 1301.83ms (CUDA Measured) + passed +==== cpu std::sort, non-power-of-two ==== + elapsed time: 12305.5ms (std::chrono Measured) +==== radix-sort, non-power-of-two ==== + elapsed time: 3214.63ms (CUDA Measured) +==== radix-sort (shared memory), non-power-of-two ==== + elapsed time: 1301.99ms (CUDA Measured) + passed +``` diff --git a/image/README/1695064484197.png b/image/README/1695064484197.png new file mode 100644 index 0000000000000000000000000000000000000000..9356801a49721d553451d86da52d88b3e3bced31 GIT binary patch literal 14969 zcmeI(XEa>j-ze}9B|)?VQ9^V^4MOzjy+jwimr~>&An^o#hmY)wPx>q);VXL+28&7o(OeSxhFUjI1e5?c%mRLt?}Ri zy4(GC#3S_kEpbxE+I>KC(~y&VP&q`kdB1~UBcUSk;6Zg9?zI`_{r=+*^7{8J@H_u} z(0ZM}T0VFngs&hiq2*<~ll?^5P&akM8I6|TgSWDdT(Z_9hNx?kG+5L+QAYdcwpV;A zCdOiROor|EY6A!vyFSFOLV1ABSS9pj662ic=%kGNE`~w4 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