From d107f5f424ac0874208032431a5425b6ea52cd14 Mon Sep 17 00:00:00 2001 From: Vismay Churiwala Date: Thu, 11 Sep 2025 18:17:09 -0400 Subject: [PATCH 01/15] Adding CPU compaction --- .gitignore | 5 +-- stream_compaction/cpu.cu | 70 +++++++++++++++++++++++++++++++++++----- 2 files changed, 65 insertions(+), 10 deletions(-) diff --git a/.gitignore b/.gitignore index a59ec565..7ec2f1fb 100644 --- a/.gitignore +++ b/.gitignore @@ -6,7 +6,7 @@ cis565_getting_started_generated_kernel* *.vcxproj *.xcodeproj build - +build/ # Created by https://www.gitignore.io/api/linux,osx,sublimetext,windows,jetbrains,vim,emacs,cmake,c++,cuda,visualstudio,webstorm,eclipse,xcode ### Linux ### @@ -25,7 +25,8 @@ build .LSOverride # Icon must end with two \r -Icon +Icon + # Thumbnails ._* diff --git a/stream_compaction/cpu.cu b/stream_compaction/cpu.cu index 719fa115..71e6284f 100644 --- a/stream_compaction/cpu.cu +++ b/stream_compaction/cpu.cu @@ -17,9 +17,16 @@ 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 + if (n == 0) { + timer().endCpuTimer(); + return; + } + odata[0] = 0; + for (int k = 1; k < n; k++) { + odata[k] = odata[k - 1] + idata[k - 1]; + } timer().endCpuTimer(); } @@ -28,11 +35,30 @@ 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 + int k_i = 0; + for (int k = 0; k < n; k++) { + int idat = idata[k]; + if (idat == 0) { + continue; + } + odata[k_i] = idata[k]; + k_i++; + } timer().endCpuTimer(); - return -1; + return k_i; + } + + // Untimed Scan function (timed CPU::scan starts and stops the object timer) + void untimed_scan(int n, int* odata, const int* idata) { + if (n == 0) { + return; + } + odata[0] = 0; + for (int k = 1; k < n; k++) { + odata[k] = odata[k - 1] + idata[k - 1]; + } } /** @@ -40,11 +66,39 @@ 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) { timer().startCpuTimer(); - // TODO + if (n == 0) { + timer().endCpuTimer(); + return 0; + } + int* bool_arr = new int[n]; + for (int k = 0; k < n; k++) { + int idat = idata[k]; + if (idat == 0) { + bool_arr[k] = 0; + } + else { + bool_arr[k] = 1; + } + } + + CPU::untimed_scan(n, odata, bool_arr); // Using odata as index array to save space + for (int k = 0; k < n; k++) { + int bool_ = bool_arr[k]; + if (bool_ == 0) { + continue; + } + else { + int idat = idata[k]; + int index = odata[k]; + odata[index] = idat; + } + } + int count = odata[n - 1] + bool_arr[n - 1]; + delete[] bool_arr; timer().endCpuTimer(); - return -1; + return count; } } } From 1b6fb17abe9d492aea9839279f1ffadb29177e0d Mon Sep 17 00:00:00 2001 From: Vismay Churiwala Date: Fri, 12 Sep 2025 22:50:57 -0400 Subject: [PATCH 02/15] Adding Naive Parallel Stream Compaction --- stream_compaction/cpu.cu | 1 - stream_compaction/naive.cu | 65 ++++++++++++++++++++++++++++++++++++-- 2 files changed, 63 insertions(+), 3 deletions(-) diff --git a/stream_compaction/cpu.cu b/stream_compaction/cpu.cu index 71e6284f..e3ae142d 100644 --- a/stream_compaction/cpu.cu +++ b/stream_compaction/cpu.cu @@ -1,6 +1,5 @@ #include #include "cpu.h" - #include "common.h" namespace StreamCompaction { diff --git a/stream_compaction/naive.cu b/stream_compaction/naive.cu index 43088769..b2c0fb7b 100644 --- a/stream_compaction/naive.cu +++ b/stream_compaction/naive.cu @@ -3,6 +3,8 @@ #include "common.h" #include "naive.h" +#define blockSize 256 + namespace StreamCompaction { namespace Naive { using StreamCompaction::Common::PerformanceTimer; @@ -11,15 +13,74 @@ namespace StreamCompaction { static PerformanceTimer timer; return timer; } - // TODO: __global__ + __global__ void onestep(int n, int* odata, const int* idata,int d) { + int index = (blockIdx.x * blockDim.x) + threadIdx.x; + if (index >= n) { + return; + } + int two_pow_d_minus_one = 1 << (d - 1); + if (index >= two_pow_d_minus_one) { + odata[index] = idata[index - two_pow_d_minus_one] + idata[index]; + } + else { + odata[index] = idata[index]; + } + } + __global__ void shift_right(int n, int* odata, const int* idata) { + int index = (blockIdx.x * blockDim.x) + threadIdx.x; + if (index >= n - 1) { + return; + } + odata[index + 1] = idata[index]; + } /** * Performs prefix-sum (aka scan) on idata, storing the result into odata. */ void scan(int n, int *odata, const int *idata) { + if (n <= 0) { + return; + } + if (n == 1) { // handle trivial case without GPU work + odata[0] = 0; + return; + } + dim3 fullBlocksPerGrid((n + blockSize - 1) / blockSize); + int* dev_bufA = nullptr; + int* dev_bufB = nullptr; + + cudaMalloc((void**)&dev_bufA, n * sizeof(int)); + checkCUDAErrorFn("cudaMalloc dev_buf_A failed!"); + + cudaMalloc((void**)&dev_bufB, n * sizeof(int)); + checkCUDAErrorFn("cudaMalloc dev_buf_B failed!"); + + cudaMemcpy(dev_bufA, idata, n * sizeof(int), cudaMemcpyHostToDevice); + checkCUDAErrorFn("MemCpy dev_buf_A failed!"); + timer().startGpuTimer(); - // TODO + int num_iter = ilog2ceil(n); + + for (int d = 1; d <= num_iter; d++) { + onestep << > > (n, dev_bufB, dev_bufA, d); + checkCUDAErrorFn("onestep Naive failed!"); + cudaDeviceSynchronize(); + std::swap(dev_bufA, dev_bufB); // Output in dev_buf_A + } + // Inclusive Scan to Exclusive + dim3 fullBlocksPerGrid_nm1((n - 1 + blockSize - 1) / blockSize); + shift_right << > > (n, dev_bufB, dev_bufA); // Shifted Output in dev_buf_B + checkCUDAErrorFn("Shift_right failed!"); + cudaDeviceSynchronize(); timer().endGpuTimer(); + + cudaMemcpy(odata, dev_bufB, n * sizeof(int), cudaMemcpyDeviceToHost); + checkCUDAErrorFn("MemCpy dev_buf_B failed!"); + cudaFree(dev_bufA); + checkCUDAErrorFn("CudaFree dev_buf_A failed!"); + cudaFree(dev_bufB); + checkCUDAErrorFn("CudaFree dev_buf_B failed!"); + odata[0] = 0; } } } From b3a530b5483473613e387bb10f517e6273d2ac8a Mon Sep 17 00:00:00 2001 From: Vismay Churiwala Date: Sat, 13 Sep 2025 05:21:16 -0400 Subject: [PATCH 03/15] Adding Work-Efficient Parallel Sum Scan (Blelloch 1990) and efficient stream compression --- src/main.cpp | 6 +- stream_compaction/CMakeLists.txt | 3 +- stream_compaction/common.cu | 16 ++- stream_compaction/common.h | 1 + stream_compaction/efficient.cu | 199 ++++++++++++++++++++++++++++++- stream_compaction/efficient.h | 1 - stream_compaction/naive.cu | 16 +-- stream_compaction/thrust.cu | 10 +- 8 files changed, 228 insertions(+), 24 deletions(-) diff --git a/src/main.cpp b/src/main.cpp index 3d5c8820..2d7334f6 100644 --- a/src/main.cpp +++ b/src/main.cpp @@ -71,7 +71,7 @@ int main(int argc, char* argv[]) { printDesc("work-efficient scan, power-of-two"); StreamCompaction::Efficient::scan(SIZE, c, a); printElapsedTime(StreamCompaction::Efficient::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); - //printArray(SIZE, c, true); + printArray(SIZE, c, true); printCmpResult(SIZE, b, c); zeroArray(SIZE, c); @@ -137,14 +137,14 @@ int main(int argc, char* argv[]) { printDesc("work-efficient compact, power-of-two"); count = StreamCompaction::Efficient::compact(SIZE, c, a); printElapsedTime(StreamCompaction::Efficient::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); - //printArray(count, c, true); + printArray(count, c, true); printCmpLenResult(count, expectedCount, b, c); zeroArray(SIZE, c); printDesc("work-efficient compact, non-power-of-two"); count = StreamCompaction::Efficient::compact(NPOT, c, a); printElapsedTime(StreamCompaction::Efficient::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); - //printArray(count, c, true); + printArray(count, c, true); printCmpLenResult(count, expectedNPOT, b, c); system("pause"); // stop Win32 console from closing on exit diff --git a/stream_compaction/CMakeLists.txt b/stream_compaction/CMakeLists.txt index 19511caa..1646ccb3 100644 --- a/stream_compaction/CMakeLists.txt +++ b/stream_compaction/CMakeLists.txt @@ -19,8 +19,9 @@ list(SORT sources) source_group(Headers FILES ${headers}) source_group(Sources FILES ${sources}) - +find_package(CCCL REQUIRED) add_library(stream_compaction ${sources} ${headers}) +target_link_libraries(stream_compaction CCCL::Thrust) if(CMAKE_VERSION VERSION_LESS "3.23.0") set_target_properties(stream_compaction} PROPERTIES CUDA_ARCHITECTURES OFF) elseif(CMAKE_VERSION VERSION_LESS "3.24.0") diff --git a/stream_compaction/common.cu b/stream_compaction/common.cu index 2ed6d630..ec533aef 100644 --- a/stream_compaction/common.cu +++ b/stream_compaction/common.cu @@ -23,7 +23,11 @@ namespace StreamCompaction { * which map to 0 will be removed, and elements which map to 1 will be kept. */ __global__ void kernMapToBoolean(int n, int *bools, const int *idata) { - // TODO + int index = (blockIdx.x * blockDim.x) + threadIdx.x; + if (index >= n) { + return; + } + bools[index] = (idata[index] != 0); } /** @@ -32,8 +36,14 @@ 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] == 1) { + odata[indices[index]] = idata[index]; + } } } -} +} \ No newline at end of file diff --git a/stream_compaction/common.h b/stream_compaction/common.h index d2c1fed9..297bb4d5 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 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 2db346ee..c8831c02 100644 --- a/stream_compaction/efficient.cu +++ b/stream_compaction/efficient.cu @@ -12,13 +12,123 @@ namespace StreamCompaction { return timer; } + __global__ void prescan(int n, int* g_odata, int* g_idata) + { + int thid = threadIdx.x; + int offset = 1; + extern __shared__ int temp[]; + temp[2 * thid] = g_idata[2 * thid]; // load input into shared memory + temp[2*thid+1] = g_idata[2*thid+1]; + for (int d = n >> 1; d > 0; d >>= 1) + // build sum in place up the tree + { + __syncthreads(); + if (thid < d) + { + int ai = offset * (2 * thid + 1) - 1; + int bi = offset * (2 * thid + 2) - 1; + temp[bi] += temp[ai]; + } + offset <<= 1; + } + if (thid == 0) + { + temp[n - 1] = 0; + } // clear the last element + for (int d = 1; d < n; d <<= 1) // traverse down tree & build scan + { + offset >>= 1; + __syncthreads(); + if (thid < d) + { + int ai = offset * (2 * thid + 1) - 1; + int bi = offset * (2 * thid + 2) - 1; + int t = temp[ai]; + temp[ai] = temp[bi]; + temp[bi] += t; + } + } + __syncthreads(); + g_odata[2 * thid] = temp[2 * thid]; // write results to device memory + g_odata[2 * thid + 1] = temp[2 * thid + 1]; + } + + __global__ void make_exclusive(int n, int* odata, const int* idata) { + int index = (blockIdx.x * blockDim.x) + threadIdx.x; + if (index >= n) { + return; + } + if (index == 0) { + odata[index] = 0; + return; + } + odata[index] = idata[index - 1]; + } + + //__global__ void pad_with_zeroes(int n, int m, int* g_data) { + // int index = (blockIdx.x * blockDim.x) + threadIdx.x; + // if (index >= n || index < m) { + // return; + // } + // g_data[index] = 0; + //} + /** * Performs prefix-sum (aka scan) on idata, storing the result into odata. */ void scan(int n, int *odata, const int *idata) { + if (n <= 0) { + return; + } + if (n == 1) { // handle trivial case without GPU work + odata[0] = 0; + return; + } + int m = n; + bool is_pow_two = (n & (n - 1)) == 0; + if (!is_pow_two) { + n = 1 << ilog2ceil(n); + } + + dim3 fullBlocksPerGrid((n + blockSize - 1) / blockSize); + int sharedMemBytes = 2 * blockSize * sizeof(int); + int* dev_buf_i = nullptr; + int* dev_buf_o = nullptr; + + cudaMalloc((void**)&dev_buf_i, n * sizeof(int)); + checkCUDAErrorFn("cudaMalloc dev_buf_i failed!"); + cudaMalloc((void**)&dev_buf_o, n * sizeof(int)); + checkCUDAErrorFn("cudaMalloc dev_buf_o failed!");\ + + cudaMemcpy(dev_buf_i, idata, n * sizeof(int), cudaMemcpyHostToDevice); + checkCUDAErrorFn("MemCpy dev_buf_i failed!"); + + if (!is_pow_two) { + cudaMemset(dev_buf_i + m, 0, (n - m) * sizeof(int)); + } timer().startGpuTimer(); - // TODO + Efficient::prescan << >> (n, dev_buf_o, dev_buf_i); + checkCUDAErrorFn("prescan failed!"); + cudaDeviceSynchronize(); timer().endGpuTimer(); + + cudaMemcpy(odata, dev_buf_o, m * sizeof(int), cudaMemcpyDeviceToHost); + checkCUDAErrorFn("MemCpy dev_buf_o failed!"); + cudaFree(dev_buf_o); + checkCUDAErrorFn("CudaFree dev_buf_o failed!"); + cudaFree(dev_buf_i); + checkCUDAErrorFn("CudaFree dev_buf_i failed!"); + } + + __global__ void scatter(int n, int* bools, int* odata, const int* idata) { + //odata already has indices + int index = (blockIdx.x * blockDim.x) + threadIdx.x; + if (index >= n) { + return; + } + if (bools[index] == 1) { + odata[odata[index]] = idata[index]; + } } /** @@ -30,11 +140,90 @@ 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) { + //Check trivial cases: + if (n <= 0) { + return 0; + } + if (n == 1) { + if (idata[0] != 0) + { + odata[0] = idata[0]; + return 1; + } + return 0; + } + dim3 fullBlocksPerGrid((n + blockSize - 1) / blockSize); + int m = n; + n = 1 << ilog2ceil(n); timer().startGpuTimer(); - // TODO - timer().endGpuTimer(); - return -1; + // Allocate and assign input + int* dev_buf_i = nullptr; + cudaMalloc((void**)&dev_buf_i, n * sizeof(int)); + checkCUDAErrorFn("cudaMalloc dev_buf_i failed!"); + cudaMemcpy(dev_buf_i, idata, m * sizeof(int), cudaMemcpyHostToDevice); + checkCUDAErrorFn("MemCpy dev_buf_i failed!"); + + + // Allocate bools buffer + int* dev_buf_bools = nullptr; + cudaMalloc((void**)&dev_buf_bools, n * sizeof(int)); + checkCUDAErrorFn("cudaMalloc dev_buf_bools failed!"); + + // Fill bools buffer + + Common::kernMapToBoolean <<> > (m, dev_buf_bools, dev_buf_i); + + // Scan bools to output + + dim3 fullBlocksPerGrid_scan((n + blockSize - 1) / blockSize); + int sharedMemBytes = 2 * blockSize * sizeof(int); + int* dev_buf_indices = nullptr; + + cudaMalloc((void**)&dev_buf_indices, n * sizeof(int)); + checkCUDAErrorFn("cudaMalloc dev_buf_indices failed!"); + + cudaMemset(dev_buf_bools + m, 0, (n - m) * sizeof(int)); + checkCUDAErrorFn("CudaMemset zeroes failed!"); + + Efficient::prescan<<>> (n, dev_buf_indices, dev_buf_bools); + checkCUDAErrorFn("prescan failed!"); + cudaDeviceSynchronize(); + + //std::swap(m, n); + + // Shorten now + + int* dev_buf_o = nullptr; + cudaMalloc((void**)&dev_buf_o, m * sizeof(int)); + checkCUDAErrorFn("cudaMalloc dev_buf_i failed!"); + + Common::kernScatter << < fullBlocksPerGrid, blockSize>>> (m, dev_buf_o, dev_buf_i, dev_buf_bools, dev_buf_indices); + checkCUDAErrorFn("efficient scatter failed!"); + cudaDeviceSynchronize(); + + int last_index; + cudaMemcpy(&last_index, dev_buf_indices + m - 1, sizeof(int), cudaMemcpyDeviceToHost); + + int last_bool; + cudaMemcpy(&last_bool, dev_buf_bools + m - 1, sizeof(int), cudaMemcpyDeviceToHost); + + int count = (last_index + last_bool); + // Copy to CPU and Free data + cudaMemcpy(odata, dev_buf_o, count * sizeof(int), cudaMemcpyDeviceToHost); + checkCUDAErrorFn("MemCpy dev_buf_o failed!"); + + cudaFree(dev_buf_indices); + checkCUDAErrorFn("CudaFree dev_buf_indices failed!"); + cudaFree(dev_buf_i); + checkCUDAErrorFn("CudaFree dev_buf_i failed!"); + cudaFree(dev_buf_bools); + checkCUDAErrorFn("CudaFree dev_buf_bools failed!"); + cudaFree(dev_buf_o); + checkCUDAErrorFn("CudaFree dev_buf_o failed!"); + + timer().endGpuTimer(); + return count; } } } diff --git a/stream_compaction/efficient.h b/stream_compaction/efficient.h index 803cb4fe..4d37f776 100644 --- a/stream_compaction/efficient.h +++ b/stream_compaction/efficient.h @@ -7,7 +7,6 @@ namespace StreamCompaction { StreamCompaction::Common::PerformanceTimer& timer(); void scan(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 b2c0fb7b..ac9cb201 100644 --- a/stream_compaction/naive.cu +++ b/stream_compaction/naive.cu @@ -3,8 +3,6 @@ #include "common.h" #include "naive.h" -#define blockSize 256 - namespace StreamCompaction { namespace Naive { using StreamCompaction::Common::PerformanceTimer; @@ -27,12 +25,16 @@ namespace StreamCompaction { } } - __global__ void shift_right(int n, int* odata, const int* idata) { + __global__ void make_exclusive(int n, int* odata, const int* idata) { int index = (blockIdx.x * blockDim.x) + threadIdx.x; - if (index >= n - 1) { + if (index >= n) { + return; + } + if (index == 0) { + odata[index] = 0; return; } - odata[index + 1] = idata[index]; + odata[index] = idata[index - 1]; } /** * Performs prefix-sum (aka scan) on idata, storing the result into odata. @@ -68,8 +70,7 @@ namespace StreamCompaction { std::swap(dev_bufA, dev_bufB); // Output in dev_buf_A } // Inclusive Scan to Exclusive - dim3 fullBlocksPerGrid_nm1((n - 1 + blockSize - 1) / blockSize); - shift_right << > > (n, dev_bufB, dev_bufA); // Shifted Output in dev_buf_B + make_exclusive<<> > (n, dev_bufB, dev_bufA); // Exclusive scan in dev_buf_B checkCUDAErrorFn("Shift_right failed!"); cudaDeviceSynchronize(); timer().endGpuTimer(); @@ -80,7 +81,6 @@ namespace StreamCompaction { checkCUDAErrorFn("CudaFree dev_buf_A failed!"); cudaFree(dev_bufB); checkCUDAErrorFn("CudaFree dev_buf_B failed!"); - odata[0] = 0; } } } diff --git a/stream_compaction/thrust.cu b/stream_compaction/thrust.cu index 1def45e7..ee3bbd6c 100644 --- a/stream_compaction/thrust.cu +++ b/stream_compaction/thrust.cu @@ -19,9 +19,13 @@ namespace StreamCompaction { */ void scan(int n, int *odata, const int *idata) { 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::device_ptr in_begin(idata); + //thrust::device_ptr in_end(idata + n); + //thrust::device_ptr out_begin(odata); + + //// Perform exclusive scan on device + //thrust::exclusive_scan(thrust::device, in_begin, in_end, out_begin); + timer().endGpuTimer(); } } From c44232f1a8cf0d3fe95c38fe2f0a2f9b4368ab91 Mon Sep 17 00:00:00 2001 From: Vismay Churiwala Date: Tue, 16 Sep 2025 12:47:22 -0400 Subject: [PATCH 04/15] Corrected timer positioning --- stream_compaction/CMakeLists.txt | 2 +- stream_compaction/cpu.cu | 5 +-- stream_compaction/efficient.cu | 66 +++++++++++++------------------- stream_compaction/naive.cu | 14 ++++--- stream_compaction/thrust.cu | 21 ++++++---- 5 files changed, 51 insertions(+), 57 deletions(-) diff --git a/stream_compaction/CMakeLists.txt b/stream_compaction/CMakeLists.txt index 1646ccb3..61affc2b 100644 --- a/stream_compaction/CMakeLists.txt +++ b/stream_compaction/CMakeLists.txt @@ -23,7 +23,7 @@ find_package(CCCL REQUIRED) add_library(stream_compaction ${sources} ${headers}) target_link_libraries(stream_compaction CCCL::Thrust) if(CMAKE_VERSION VERSION_LESS "3.23.0") - set_target_properties(stream_compaction} PROPERTIES CUDA_ARCHITECTURES OFF) + set_target_properties(stream_compaction PROPERTIES CUDA_ARCHITECTURES OFF) elseif(CMAKE_VERSION VERSION_LESS "3.24.0") set_target_properties(stream_compaction PROPERTIES CUDA_ARCHITECTURES all-major) else() diff --git a/stream_compaction/cpu.cu b/stream_compaction/cpu.cu index e3ae142d..f55fe5e1 100644 --- a/stream_compaction/cpu.cu +++ b/stream_compaction/cpu.cu @@ -66,12 +66,11 @@ namespace StreamCompaction { * @returns the number of elements remaining after compaction. */ int compactWithScan(int n, int* odata, const int* idata) { - timer().startCpuTimer(); if (n == 0) { - timer().endCpuTimer(); return 0; } int* bool_arr = new int[n]; + timer().startCpuTimer(); for (int k = 0; k < n; k++) { int idat = idata[k]; if (idat == 0) { @@ -94,9 +93,9 @@ namespace StreamCompaction { odata[index] = idat; } } + timer().endCpuTimer(); int count = odata[n - 1] + bool_arr[n - 1]; delete[] bool_arr; - timer().endCpuTimer(); return count; } } diff --git a/stream_compaction/efficient.cu b/stream_compaction/efficient.cu index c8831c02..d6aa6ca7 100644 --- a/stream_compaction/efficient.cu +++ b/stream_compaction/efficient.cu @@ -18,7 +18,7 @@ namespace StreamCompaction { int offset = 1; extern __shared__ int temp[]; temp[2 * thid] = g_idata[2 * thid]; // load input into shared memory - temp[2*thid+1] = g_idata[2*thid+1]; + temp[2*thid+1] = g_idata[2*thid+1]; for (int d = n >> 1; d > 0; d >>= 1) // build sum in place up the tree { @@ -65,14 +65,6 @@ namespace StreamCompaction { odata[index] = idata[index - 1]; } - //__global__ void pad_with_zeroes(int n, int m, int* g_data) { - // int index = (blockIdx.x * blockDim.x) + threadIdx.x; - // if (index >= n || index < m) { - // return; - // } - // g_data[index] = 0; - //} - /** * Performs prefix-sum (aka scan) on idata, storing the result into odata. */ @@ -120,17 +112,6 @@ namespace StreamCompaction { checkCUDAErrorFn("CudaFree dev_buf_i failed!"); } - __global__ void scatter(int n, int* bools, int* odata, const int* idata) { - //odata already has indices - int index = (blockIdx.x * blockDim.x) + threadIdx.x; - if (index >= n) { - return; - } - if (bools[index] == 1) { - odata[odata[index]] = idata[index]; - } - } - /** * Performs stream compaction on idata, storing the result into odata. * All zeroes are discarded. @@ -156,7 +137,7 @@ namespace StreamCompaction { dim3 fullBlocksPerGrid((n + blockSize - 1) / blockSize); int m = n; n = 1 << ilog2ceil(n); - timer().startGpuTimer(); + // Allocate and assign input int* dev_buf_i = nullptr; cudaMalloc((void**)&dev_buf_i, n * sizeof(int)); @@ -170,38 +151,42 @@ namespace StreamCompaction { cudaMalloc((void**)&dev_buf_bools, n * sizeof(int)); checkCUDAErrorFn("cudaMalloc dev_buf_bools failed!"); - // Fill bools buffer - - Common::kernMapToBoolean <<> > (m, dev_buf_bools, dev_buf_i); - - // Scan bools to output + //Allocate output buffer + int* dev_buf_o = nullptr; + cudaMalloc((void**)&dev_buf_o, m * sizeof(int)); + checkCUDAErrorFn("cudaMalloc dev_buf_i failed!"); - dim3 fullBlocksPerGrid_scan((n + blockSize - 1) / blockSize); - int sharedMemBytes = 2 * blockSize * sizeof(int); + //Allocate indices buffer int* dev_buf_indices = nullptr; - cudaMalloc((void**)&dev_buf_indices, n * sizeof(int)); checkCUDAErrorFn("cudaMalloc dev_buf_indices failed!"); - cudaMemset(dev_buf_bools + m, 0, (n - m) * sizeof(int)); + cudaMemset(dev_buf_bools + m, 0, (n - m) * sizeof(int)); // Padding zeroes to nearest power of two checkCUDAErrorFn("CudaMemset zeroes failed!"); - Efficient::prescan<<>> (n, dev_buf_indices, dev_buf_bools); - checkCUDAErrorFn("prescan failed!"); - cudaDeviceSynchronize(); + // Compute shared memory sizes + dim3 fullBlocksPerGrid_scan((n + blockSize - 1) / blockSize); + int sharedMemBytes = 2 * blockSize * sizeof(int); - //std::swap(m, n); + timer().startGpuTimer(); - // Shorten now + // Fill bools buffer + Common::kernMapToBoolean <<> > (m, dev_buf_bools, dev_buf_i); + cudaDeviceSynchronize(); - int* dev_buf_o = nullptr; - cudaMalloc((void**)&dev_buf_o, m * sizeof(int)); - checkCUDAErrorFn("cudaMalloc dev_buf_i failed!"); + // Scan bools to output + Efficient::prescan<<>> (n, dev_buf_indices, dev_buf_bools); + checkCUDAErrorFn("prescan failed!"); + cudaDeviceSynchronize(); + // Compact now Common::kernScatter << < fullBlocksPerGrid, blockSize>>> (m, dev_buf_o, dev_buf_i, dev_buf_bools, dev_buf_indices); checkCUDAErrorFn("efficient scatter failed!"); cudaDeviceSynchronize(); + timer().endGpuTimer(); + + // Compute size of compacted array int last_index; cudaMemcpy(&last_index, dev_buf_indices + m - 1, sizeof(int), cudaMemcpyDeviceToHost); @@ -209,10 +194,12 @@ namespace StreamCompaction { cudaMemcpy(&last_bool, dev_buf_bools + m - 1, sizeof(int), cudaMemcpyDeviceToHost); int count = (last_index + last_bool); - // Copy to CPU and Free data + + // Copy output to CPU cudaMemcpy(odata, dev_buf_o, count * sizeof(int), cudaMemcpyDeviceToHost); checkCUDAErrorFn("MemCpy dev_buf_o failed!"); + // Free data cudaFree(dev_buf_indices); checkCUDAErrorFn("CudaFree dev_buf_indices failed!"); cudaFree(dev_buf_i); @@ -222,7 +209,6 @@ namespace StreamCompaction { cudaFree(dev_buf_o); checkCUDAErrorFn("CudaFree dev_buf_o failed!"); - timer().endGpuTimer(); return count; } } diff --git a/stream_compaction/naive.cu b/stream_compaction/naive.cu index ac9cb201..14c0412a 100644 --- a/stream_compaction/naive.cu +++ b/stream_compaction/naive.cu @@ -16,12 +16,13 @@ namespace StreamCompaction { if (index >= n) { return; } + int idata_at_index = idata[index]; int two_pow_d_minus_one = 1 << (d - 1); if (index >= two_pow_d_minus_one) { - odata[index] = idata[index - two_pow_d_minus_one] + idata[index]; + odata[index] = idata[index - two_pow_d_minus_one] + idata_at_index; } else { - odata[index] = idata[index]; + odata[index] = idata_at_index; } } @@ -32,9 +33,10 @@ namespace StreamCompaction { } if (index == 0) { odata[index] = 0; - return; } - odata[index] = idata[index - 1]; + else { + odata[index] = idata[index - 1]; + } } /** * Performs prefix-sum (aka scan) on idata, storing the result into odata. @@ -60,8 +62,8 @@ namespace StreamCompaction { cudaMemcpy(dev_bufA, idata, n * sizeof(int), cudaMemcpyHostToDevice); checkCUDAErrorFn("MemCpy dev_buf_A failed!"); - timer().startGpuTimer(); int num_iter = ilog2ceil(n); + timer().startGpuTimer(); for (int d = 1; d <= num_iter; d++) { onestep << > > (n, dev_bufB, dev_bufA, d); @@ -71,7 +73,7 @@ namespace StreamCompaction { } // Inclusive Scan to Exclusive make_exclusive<<> > (n, dev_bufB, dev_bufA); // Exclusive scan in dev_buf_B - checkCUDAErrorFn("Shift_right failed!"); + checkCUDAErrorFn("make_exclusive failed!"); cudaDeviceSynchronize(); timer().endGpuTimer(); diff --git a/stream_compaction/thrust.cu b/stream_compaction/thrust.cu index ee3bbd6c..68abb01c 100644 --- a/stream_compaction/thrust.cu +++ b/stream_compaction/thrust.cu @@ -17,16 +17,23 @@ namespace StreamCompaction { /** * Performs prefix-sum (aka scan) on idata, storing the result into odata. */ - void scan(int n, int *odata, const int *idata) { - timer().startGpuTimer(); - //thrust::device_ptr in_begin(idata); - //thrust::device_ptr in_end(idata + n); - //thrust::device_ptr out_begin(odata); + void scan(int n, int* odata, const int* idata) { + - //// Perform exclusive scan on device - //thrust::exclusive_scan(thrust::device, in_begin, in_end, out_begin); + // copy host -> device + thrust::device_vector d_in(idata, idata + n); + thrust::device_vector d_out(n); + timer().startGpuTimer(); + // exclusive scan on device + thrust::exclusive_scan(d_in.begin(), d_in.end(), d_out.begin()); timer().endGpuTimer(); + + // copy device -> host + thrust::copy(d_out.begin(), d_out.end(), odata); + + cudaDeviceSynchronize(); // ensure timing is correct + } } } From 93662f764befe1623327c644dce59ae080364e34 Mon Sep 17 00:00:00 2001 From: Vismay Churiwala Date: Tue, 16 Sep 2025 15:06:06 -0400 Subject: [PATCH 05/15] Added bank-conflict avoidant efficient scan --- src/main.cpp | 2 +- stream_compaction/efficient.cu | 42 ++++++++++++++++++++++------------ 2 files changed, 28 insertions(+), 16 deletions(-) diff --git a/src/main.cpp b/src/main.cpp index 2d7334f6..2763d340 100644 --- a/src/main.cpp +++ b/src/main.cpp @@ -71,7 +71,7 @@ int main(int argc, char* argv[]) { printDesc("work-efficient scan, power-of-two"); StreamCompaction::Efficient::scan(SIZE, c, a); printElapsedTime(StreamCompaction::Efficient::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); - printArray(SIZE, c, true); + //printArray(SIZE, c, true); printCmpResult(SIZE, b, c); zeroArray(SIZE, c); diff --git a/stream_compaction/efficient.cu b/stream_compaction/efficient.cu index d6aa6ca7..1f3aac68 100644 --- a/stream_compaction/efficient.cu +++ b/stream_compaction/efficient.cu @@ -3,6 +3,10 @@ #include "common.h" #include "efficient.h" +#define NUM_BANKS 16 +#define LOG_NUM_BANKS 4 +#define CONFLICT_FREE_OFFSET(n)((n) >> NUM_BANKS + (n) >> (2 * LOG_NUM_BANKS)) + namespace StreamCompaction { namespace Efficient { using StreamCompaction::Common::PerformanceTimer; @@ -17,8 +21,13 @@ namespace StreamCompaction { int thid = threadIdx.x; int offset = 1; extern __shared__ int temp[]; - temp[2 * thid] = g_idata[2 * thid]; // load input into shared memory - temp[2*thid+1] = g_idata[2*thid+1]; + int ai = thid; + int bi = thid + (n / 2); + int bankOffsetA = CONFLICT_FREE_OFFSET(ai); + int bankOffsetB = CONFLICT_FREE_OFFSET(bi); + temp[ai + bankOffsetA] = + g_idata[ai]; + temp[bi + bankOffsetB] = g_idata[bi]; for (int d = n >> 1; d > 0; d >>= 1) // build sum in place up the tree { @@ -27,13 +36,15 @@ namespace StreamCompaction { { int ai = offset * (2 * thid + 1) - 1; int bi = offset * (2 * thid + 2) - 1; + ai += CONFLICT_FREE_OFFSET(ai); + bi += CONFLICT_FREE_OFFSET(bi); temp[bi] += temp[ai]; } offset <<= 1; } if (thid == 0) { - temp[n - 1] = 0; + temp[n - 1 + CONFLICT_FREE_OFFSET(n - 1)] = 0; } // clear the last element for (int d = 1; d < n; d <<= 1) // traverse down tree & build scan { @@ -43,14 +54,16 @@ namespace StreamCompaction { { int ai = offset * (2 * thid + 1) - 1; int bi = offset * (2 * thid + 2) - 1; + ai += CONFLICT_FREE_OFFSET(ai); + bi += CONFLICT_FREE_OFFSET(bi); int t = temp[ai]; temp[ai] = temp[bi]; temp[bi] += t; } } __syncthreads(); - g_odata[2 * thid] = temp[2 * thid]; // write results to device memory - g_odata[2 * thid + 1] = temp[2 * thid + 1]; + g_odata[ai] = temp[ai + bankOffsetA]; + g_odata[bi] = temp[bi + bankOffsetB]; } __global__ void make_exclusive(int n, int* odata, const int* idata) { @@ -88,11 +101,11 @@ namespace StreamCompaction { int* dev_buf_o = nullptr; cudaMalloc((void**)&dev_buf_i, n * sizeof(int)); - checkCUDAErrorFn("cudaMalloc dev_buf_i failed!"); + checkCUDAErrorFn("cudaMalloc dev_buf_i in scan failed!"); cudaMalloc((void**)&dev_buf_o, n * sizeof(int)); - checkCUDAErrorFn("cudaMalloc dev_buf_o failed!");\ + checkCUDAErrorFn("cudaMalloc dev_buf_o in scan failed!");\ - cudaMemcpy(dev_buf_i, idata, n * sizeof(int), cudaMemcpyHostToDevice); + cudaMemcpy(dev_buf_i, idata, m * sizeof(int), cudaMemcpyHostToDevice); checkCUDAErrorFn("MemCpy dev_buf_i failed!"); if (!is_pow_two) { @@ -105,11 +118,11 @@ namespace StreamCompaction { timer().endGpuTimer(); cudaMemcpy(odata, dev_buf_o, m * sizeof(int), cudaMemcpyDeviceToHost); - checkCUDAErrorFn("MemCpy dev_buf_o failed!"); + checkCUDAErrorFn("MemCpy dev_buf_o in scan failed!"); cudaFree(dev_buf_o); - checkCUDAErrorFn("CudaFree dev_buf_o failed!"); + checkCUDAErrorFn("CudaFree dev_buf_o in scan failed!"); cudaFree(dev_buf_i); - checkCUDAErrorFn("CudaFree dev_buf_i failed!"); + checkCUDAErrorFn("CudaFree dev_buf_i in scan failed!"); } /** @@ -145,7 +158,6 @@ namespace StreamCompaction { cudaMemcpy(dev_buf_i, idata, m * sizeof(int), cudaMemcpyHostToDevice); checkCUDAErrorFn("MemCpy dev_buf_i failed!"); - // Allocate bools buffer int* dev_buf_bools = nullptr; cudaMalloc((void**)&dev_buf_bools, n * sizeof(int)); @@ -154,7 +166,7 @@ namespace StreamCompaction { //Allocate output buffer int* dev_buf_o = nullptr; cudaMalloc((void**)&dev_buf_o, m * sizeof(int)); - checkCUDAErrorFn("cudaMalloc dev_buf_i failed!"); + checkCUDAErrorFn("cudaMalloc dev_buf_o failed!"); //Allocate indices buffer int* dev_buf_indices = nullptr; @@ -193,11 +205,11 @@ namespace StreamCompaction { int last_bool; cudaMemcpy(&last_bool, dev_buf_bools + m - 1, sizeof(int), cudaMemcpyDeviceToHost); - int count = (last_index + last_bool); + long long int count = (last_index + last_bool); // Copy output to CPU cudaMemcpy(odata, dev_buf_o, count * sizeof(int), cudaMemcpyDeviceToHost); - checkCUDAErrorFn("MemCpy dev_buf_o failed!"); + checkCUDAErrorFn("MemCpy dev_buf_o failed! (Copying output to cpu)"); // Free data cudaFree(dev_buf_indices); From 97f6264ec076b37140b73a54fe32726701012c5d Mon Sep 17 00:00:00 2001 From: Vismay Churiwala Date: Tue, 16 Sep 2025 16:53:36 -0400 Subject: [PATCH 06/15] Added multi-scan with multi-block accumulation for Efficient::scan --- src/main.cpp | 2 +- stream_compaction/efficient.cu | 277 +++++++++++++++++++++++---------- 2 files changed, 196 insertions(+), 83 deletions(-) diff --git a/src/main.cpp b/src/main.cpp index 2763d340..c289efa3 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 << 20; // feel free to change the size of array const int NPOT = SIZE - 3; // Non-Power-Of-Two int *a = new int[SIZE]; int *b = new int[SIZE]; diff --git a/stream_compaction/efficient.cu b/stream_compaction/efficient.cu index 1f3aac68..1779d31d 100644 --- a/stream_compaction/efficient.cu +++ b/stream_compaction/efficient.cu @@ -16,7 +16,7 @@ namespace StreamCompaction { return timer; } - __global__ void prescan(int n, int* g_odata, int* g_idata) + __global__ void prescan(int n, int* g_odata, const int* g_idata) { int thid = threadIdx.x; int offset = 1; @@ -66,6 +66,61 @@ namespace StreamCompaction { g_odata[bi] = temp[bi + bankOffsetB]; } + __global__ void multi_scan(int global_n, int B, int* g_odata, const int* g_idata, int* blockSums) + { + int thid = threadIdx.x; + int base = B * blockIdx.x; + int offset = 1; + extern __shared__ int temp[]; + int ai = thid; + int bi = thid + (B / 2); + int ga = base + ai; // Global indexes + int gb = base + bi; + int bankOffsetA = CONFLICT_FREE_OFFSET(ai); + int bankOffsetB = CONFLICT_FREE_OFFSET(bi); + temp[ai + bankOffsetA] = + g_idata[ga]; + temp[bi + bankOffsetB] = g_idata[gb]; + for (int d = B >> 1; d > 0; d >>= 1) + // build sum in place up the tree + { + __syncthreads(); + if (thid < d) + { + int ai = offset * (2 * thid + 1) - 1; + int bi = offset * (2 * thid + 2) - 1; + ai += CONFLICT_FREE_OFFSET(ai); + bi += CONFLICT_FREE_OFFSET(bi); + temp[bi] += temp[ai]; + } + offset <<= 1; + } + if (thid == 0) + { + blockSums[blockIdx.x] = + temp[B - 1 + CONFLICT_FREE_OFFSET(B - 1)]; + temp[B - 1 + CONFLICT_FREE_OFFSET(B - 1)] = 0; + } // clear the last element + for (int d = 1; d < B; d <<= 1) // traverse down tree & build scan + { + offset >>= 1; + __syncthreads(); + if (thid < d) + { + int ai = offset * (2 * thid + 1) - 1; + int bi = offset * (2 * thid + 2) - 1; + ai += CONFLICT_FREE_OFFSET(ai); + bi += CONFLICT_FREE_OFFSET(bi); + int t = temp[ai]; + temp[ai] = temp[bi]; + temp[bi] += t; + } + } + __syncthreads(); + g_odata[ga] = temp[ai + bankOffsetA]; + g_odata[gb] = temp[bi + bankOffsetB]; + } + __global__ void make_exclusive(int n, int* odata, const int* idata) { int index = (blockIdx.x * blockDim.x) + threadIdx.x; if (index >= n) { @@ -78,6 +133,20 @@ namespace StreamCompaction { odata[index] = idata[index - 1]; } + __global__ void uniformAdd(int n, + int* odata, + const int* blockIncr, + int B) { + int base = blockIdx.x * B; + int offset = blockIncr[blockIdx.x]; // scanned block sums + + int i = base + threadIdx.x; + int j = base + threadIdx.x + (B / 2); + + if (i < n) odata[i] += offset; + if (j < n) odata[j] += offset; + } + /** * Performs prefix-sum (aka scan) on idata, storing the result into odata. */ @@ -95,26 +164,63 @@ namespace StreamCompaction { n = 1 << ilog2ceil(n); } - dim3 fullBlocksPerGrid((n + blockSize - 1) / blockSize); - int sharedMemBytes = 2 * blockSize * sizeof(int); + //dim3 fullBlocksPerGrid((n + blockSize - 1) / blockSize); + //int sharedMemBytes = 2 * blockSize * sizeof(int); int* dev_buf_i = nullptr; int* dev_buf_o = nullptr; + int* dev_buf_blockSums = nullptr; + int* dev_buf_blockIncr = nullptr; + + // Number of blocks and threads for Multi Scan + int B = 2 * blockSize; + int numBlocks = (n + B - 1) / B; // ceil(n/B) + dim3 fullBlocksPerGrid(numBlocks); + int sharedMemBytes = (B + CONFLICT_FREE_OFFSET(B)) * sizeof(int); cudaMalloc((void**)&dev_buf_i, n * sizeof(int)); checkCUDAErrorFn("cudaMalloc dev_buf_i in scan failed!"); + cudaMalloc((void**)&dev_buf_o, n * sizeof(int)); - checkCUDAErrorFn("cudaMalloc dev_buf_o in scan failed!");\ + checkCUDAErrorFn("cudaMalloc dev_buf_o in scan failed!"); cudaMemcpy(dev_buf_i, idata, m * sizeof(int), cudaMemcpyHostToDevice); checkCUDAErrorFn("MemCpy dev_buf_i failed!"); + int num_blocks_next_power_2 = 1 << ilog2ceil(numBlocks); + dim3 fullBlocksPerGrid_offsets((numBlocks + blockSize - 1) / blockSize); + int sharedMem_offsets = (num_blocks_next_power_2 + CONFLICT_FREE_OFFSET(num_blocks_next_power_2)) * sizeof(int); + int threads_offsets = num_blocks_next_power_2 / 2; + // If Multiple Blocks + cudaMalloc((void**)&dev_buf_blockSums, num_blocks_next_power_2 * sizeof(int)); + checkCUDAErrorFn("cudaMalloc dev_buf_blockSums in scan failed!"); + + if (num_blocks_next_power_2 > numBlocks) { + cudaMemset(dev_buf_blockSums + numBlocks, 0, + (num_blocks_next_power_2 - numBlocks) * sizeof(int)); + } + cudaMalloc((void**)&dev_buf_blockIncr, num_blocks_next_power_2 * sizeof(int)); + checkCUDAErrorFn("cudaMalloc dev_buf_blockIncr in scan failed!"); + if (!is_pow_two) { cudaMemset(dev_buf_i + m, 0, (n - m) * sizeof(int)); } + timer().startGpuTimer(); - Efficient::prescan << >> (n, dev_buf_o, dev_buf_i); - checkCUDAErrorFn("prescan failed!"); + + // Block-Wise Multi-Scan + Efficient::multi_scan <<>> (n, B, dev_buf_o, dev_buf_i, dev_buf_blockSums); + checkCUDAErrorFn("multi-scan failed!"); cudaDeviceSynchronize(); + if (numBlocks > 1) { + Efficient::prescan << > > (num_blocks_next_power_2, dev_buf_blockIncr, dev_buf_blockSums); + checkCUDAErrorFn("prescan of offsets failed!"); + cudaDeviceSynchronize(); + + uniformAdd << > > (n, dev_buf_o, dev_buf_blockIncr, B); + checkCUDAErrorFn("Uniform Add failed!"); + cudaDeviceSynchronize(); + } + timer().endGpuTimer(); cudaMemcpy(odata, dev_buf_o, m * sizeof(int), cudaMemcpyDeviceToHost); @@ -123,6 +229,11 @@ namespace StreamCompaction { checkCUDAErrorFn("CudaFree dev_buf_o in scan failed!"); cudaFree(dev_buf_i); checkCUDAErrorFn("CudaFree dev_buf_i in scan failed!"); + + cudaFree(dev_buf_blockSums); + checkCUDAErrorFn("CudaFree dev_buf_blockSums in scan failed!"); + cudaFree(dev_buf_blockIncr); + checkCUDAErrorFn("CudaFree dev_buf_blockIncr in scan failed!"); } /** @@ -135,92 +246,94 @@ namespace StreamCompaction { * @returns The number of elements remaining after compaction. */ int compact(int n, int* odata, const int* idata) { - //Check trivial cases: - if (n <= 0) { - return 0; - } - if (n == 1) { - if (idata[0] != 0) - { - odata[0] = idata[0]; - return 1; - } - return 0; - } - dim3 fullBlocksPerGrid((n + blockSize - 1) / blockSize); - int m = n; - n = 1 << ilog2ceil(n); + ////Check trivial cases: + //if (n <= 0) { + // return 0; + //} + //if (n == 1) { + // if (idata[0] != 0) + // { + // odata[0] = idata[0]; + // return 1; + // } + // return 0; + //} + //dim3 fullBlocksPerGrid((n + blockSize - 1) / blockSize); + //int m = n; + //n = 1 << ilog2ceil(n); - // Allocate and assign input - int* dev_buf_i = nullptr; - cudaMalloc((void**)&dev_buf_i, n * sizeof(int)); - checkCUDAErrorFn("cudaMalloc dev_buf_i failed!"); - cudaMemcpy(dev_buf_i, idata, m * sizeof(int), cudaMemcpyHostToDevice); - checkCUDAErrorFn("MemCpy dev_buf_i failed!"); - - // Allocate bools buffer - int* dev_buf_bools = nullptr; - cudaMalloc((void**)&dev_buf_bools, n * sizeof(int)); - checkCUDAErrorFn("cudaMalloc dev_buf_bools failed!"); - - //Allocate output buffer - int* dev_buf_o = nullptr; - cudaMalloc((void**)&dev_buf_o, m * sizeof(int)); - checkCUDAErrorFn("cudaMalloc dev_buf_o failed!"); - - //Allocate indices buffer - int* dev_buf_indices = nullptr; - cudaMalloc((void**)&dev_buf_indices, n * sizeof(int)); - checkCUDAErrorFn("cudaMalloc dev_buf_indices failed!"); - - cudaMemset(dev_buf_bools + m, 0, (n - m) * sizeof(int)); // Padding zeroes to nearest power of two - checkCUDAErrorFn("CudaMemset zeroes failed!"); - - // Compute shared memory sizes - dim3 fullBlocksPerGrid_scan((n + blockSize - 1) / blockSize); - int sharedMemBytes = 2 * blockSize * sizeof(int); - - timer().startGpuTimer(); - - // Fill bools buffer - Common::kernMapToBoolean <<> > (m, dev_buf_bools, dev_buf_i); - cudaDeviceSynchronize(); + // // Allocate and assign input + // int* dev_buf_i = nullptr; + // cudaMalloc((void**)&dev_buf_i, n * sizeof(int)); + // checkCUDAErrorFn("cudaMalloc dev_buf_i failed!"); + // cudaMemcpy(dev_buf_i, idata, m * sizeof(int), cudaMemcpyHostToDevice); + // checkCUDAErrorFn("MemCpy dev_buf_i failed!"); - // Scan bools to output - Efficient::prescan<<>> (n, dev_buf_indices, dev_buf_bools); - checkCUDAErrorFn("prescan failed!"); - cudaDeviceSynchronize(); + // // Allocate bools buffer + // int* dev_buf_bools = nullptr; + // cudaMalloc((void**)&dev_buf_bools, n * sizeof(int)); + // checkCUDAErrorFn("cudaMalloc dev_buf_bools failed!"); - // Compact now - Common::kernScatter << < fullBlocksPerGrid, blockSize>>> (m, dev_buf_o, dev_buf_i, dev_buf_bools, dev_buf_indices); - checkCUDAErrorFn("efficient scatter failed!"); - cudaDeviceSynchronize(); + // //Allocate output buffer + // int* dev_buf_o = nullptr; + // cudaMalloc((void**)&dev_buf_o, m * sizeof(int)); + // checkCUDAErrorFn("cudaMalloc dev_buf_o failed!"); + + // //Allocate indices buffer + // int* dev_buf_indices = nullptr; + // cudaMalloc((void**)&dev_buf_indices, n * sizeof(int)); + // checkCUDAErrorFn("cudaMalloc dev_buf_indices failed!"); + + // cudaMemset(dev_buf_bools + m, 0, (n - m) * sizeof(int)); // Padding zeroes to nearest power of two + // checkCUDAErrorFn("CudaMemset zeroes failed!"); + + // // Compute shared memory sizes + // dim3 fullBlocksPerGrid_scan((n + blockSize - 1) / blockSize); + // int sharedMemBytes = 2 * blockSize * sizeof(int); + + // timer().startGpuTimer(); - timer().endGpuTimer(); + // // Fill bools buffer + // Common::kernMapToBoolean <<> > (m, dev_buf_bools, dev_buf_i); + // cudaDeviceSynchronize(); - // Compute size of compacted array - int last_index; - cudaMemcpy(&last_index, dev_buf_indices + m - 1, sizeof(int), cudaMemcpyDeviceToHost); + // // Scan bools to output + // Efficient::prescan<<>> (n, dev_buf_indices, dev_buf_bools); + // checkCUDAErrorFn("prescan failed!"); + // cudaDeviceSynchronize(); - int last_bool; - cudaMemcpy(&last_bool, dev_buf_bools + m - 1, sizeof(int), cudaMemcpyDeviceToHost); + // // Compact now + // Common::kernScatter << < fullBlocksPerGrid, blockSize>>> (m, dev_buf_o, dev_buf_i, dev_buf_bools, dev_buf_indices); + // checkCUDAErrorFn("efficient scatter failed!"); + // cudaDeviceSynchronize(); - long long int count = (last_index + last_bool); + // timer().endGpuTimer(); - // Copy output to CPU - cudaMemcpy(odata, dev_buf_o, count * sizeof(int), cudaMemcpyDeviceToHost); - checkCUDAErrorFn("MemCpy dev_buf_o failed! (Copying output to cpu)"); + // // Compute size of compacted array + // int last_index; + // cudaMemcpy(&last_index, dev_buf_indices + m - 1, sizeof(int), cudaMemcpyDeviceToHost); - // Free data - cudaFree(dev_buf_indices); - checkCUDAErrorFn("CudaFree dev_buf_indices failed!"); - cudaFree(dev_buf_i); - checkCUDAErrorFn("CudaFree dev_buf_i failed!"); - cudaFree(dev_buf_bools); - checkCUDAErrorFn("CudaFree dev_buf_bools failed!"); - cudaFree(dev_buf_o); - checkCUDAErrorFn("CudaFree dev_buf_o failed!"); + // int last_bool; + // cudaMemcpy(&last_bool, dev_buf_bools + m - 1, sizeof(int), cudaMemcpyDeviceToHost); + // long long int count = (last_index + last_bool); + + // // Copy output to CPU + // cudaMemcpy(odata, dev_buf_o, count * sizeof(int), cudaMemcpyDeviceToHost); + // checkCUDAErrorFn("MemCpy dev_buf_o failed! (Copying output to cpu)"); + + // // Free data + // cudaFree(dev_buf_indices); + // checkCUDAErrorFn("CudaFree dev_buf_indices failed!"); + // cudaFree(dev_buf_i); + // checkCUDAErrorFn("CudaFree dev_buf_i failed!"); + // cudaFree(dev_buf_bools); + // checkCUDAErrorFn("CudaFree dev_buf_bools failed!"); + // cudaFree(dev_buf_o); + // checkCUDAErrorFn("CudaFree dev_buf_o failed!"); + timer().startGpuTimer(); + int count = -1; + timer().endGpuTimer(); return count; } } From 7a03b8220d8e18c1a6dc895a91ef524f9c96a8de Mon Sep 17 00:00:00 2001 From: Vismay Churiwala Date: Tue, 16 Sep 2025 17:32:28 -0400 Subject: [PATCH 07/15] Added multi-scan for Efficient::compact --- src/main.cpp | 2 +- stream_compaction/efficient.cu | 244 ++++++++++++++++++++------------- 2 files changed, 148 insertions(+), 98 deletions(-) diff --git a/src/main.cpp b/src/main.cpp index c289efa3..a7435d00 100644 --- a/src/main.cpp +++ b/src/main.cpp @@ -21,7 +21,7 @@ int *c = new int[SIZE]; int main(int argc, char* argv[]) { // Scan tests - + printf("\n"); printf("****************\n"); printf("** SCAN TESTS **\n"); diff --git a/stream_compaction/efficient.cu b/stream_compaction/efficient.cu index 1779d31d..16ac9935 100644 --- a/stream_compaction/efficient.cu +++ b/stream_compaction/efficient.cu @@ -164,19 +164,21 @@ namespace StreamCompaction { n = 1 << ilog2ceil(n); } - //dim3 fullBlocksPerGrid((n + blockSize - 1) / blockSize); - //int sharedMemBytes = 2 * blockSize * sizeof(int); - int* dev_buf_i = nullptr; - int* dev_buf_o = nullptr; - int* dev_buf_blockSums = nullptr; - int* dev_buf_blockIncr = nullptr; - - // Number of blocks and threads for Multi Scan + + int* dev_buf_i = nullptr; //Input buffer + int* dev_buf_o = nullptr; //Output buffer + int* dev_buf_blockSums = nullptr; // Per-block Sums + int* dev_buf_blockIncr = nullptr; // Per-block sums scan + + // Multi Scan + + // Number of blocks and threads int B = 2 * blockSize; - int numBlocks = (n + B - 1) / B; // ceil(n/B) + int numBlocks = (n + B - 1) / B; // ceil(n / B) dim3 fullBlocksPerGrid(numBlocks); int sharedMemBytes = (B + CONFLICT_FREE_OFFSET(B)) * sizeof(int); + // Allocate and copy Memory cudaMalloc((void**)&dev_buf_i, n * sizeof(int)); checkCUDAErrorFn("cudaMalloc dev_buf_i in scan failed!"); @@ -186,11 +188,16 @@ namespace StreamCompaction { cudaMemcpy(dev_buf_i, idata, m * sizeof(int), cudaMemcpyHostToDevice); checkCUDAErrorFn("MemCpy dev_buf_i failed!"); + + // Inter-Block Accumulation + + // Number of blocks and threads int num_blocks_next_power_2 = 1 << ilog2ceil(numBlocks); dim3 fullBlocksPerGrid_offsets((numBlocks + blockSize - 1) / blockSize); int sharedMem_offsets = (num_blocks_next_power_2 + CONFLICT_FREE_OFFSET(num_blocks_next_power_2)) * sizeof(int); int threads_offsets = num_blocks_next_power_2 / 2; - // If Multiple Blocks + + // Allocate and copy Memory cudaMalloc((void**)&dev_buf_blockSums, num_blocks_next_power_2 * sizeof(int)); checkCUDAErrorFn("cudaMalloc dev_buf_blockSums in scan failed!"); @@ -246,94 +253,137 @@ namespace StreamCompaction { * @returns The number of elements remaining after compaction. */ int compact(int n, int* odata, const int* idata) { - ////Check trivial cases: - //if (n <= 0) { - // return 0; - //} - //if (n == 1) { - // if (idata[0] != 0) - // { - // odata[0] = idata[0]; - // return 1; - // } - // return 0; - //} - //dim3 fullBlocksPerGrid((n + blockSize - 1) / blockSize); - //int m = n; - //n = 1 << ilog2ceil(n); + //Check trivial cases: + if (n <= 0) { + return 0; + } + if (n == 1) { + if (idata[0] != 0) + { + odata[0] = idata[0]; + return 1; + } + return 0; + } + dim3 fullBlocksPerGrid((n + blockSize - 1) / blockSize); + int m = n; + n = 1 << ilog2ceil(n); - // // Allocate and assign input - // int* dev_buf_i = nullptr; - // cudaMalloc((void**)&dev_buf_i, n * sizeof(int)); - // checkCUDAErrorFn("cudaMalloc dev_buf_i failed!"); - // cudaMemcpy(dev_buf_i, idata, m * sizeof(int), cudaMemcpyHostToDevice); - // checkCUDAErrorFn("MemCpy dev_buf_i failed!"); - - // // Allocate bools buffer - // int* dev_buf_bools = nullptr; - // cudaMalloc((void**)&dev_buf_bools, n * sizeof(int)); - // checkCUDAErrorFn("cudaMalloc dev_buf_bools failed!"); - - // //Allocate output buffer - // int* dev_buf_o = nullptr; - // cudaMalloc((void**)&dev_buf_o, m * sizeof(int)); - // checkCUDAErrorFn("cudaMalloc dev_buf_o failed!"); - - // //Allocate indices buffer - // int* dev_buf_indices = nullptr; - // cudaMalloc((void**)&dev_buf_indices, n * sizeof(int)); - // checkCUDAErrorFn("cudaMalloc dev_buf_indices failed!"); - - // cudaMemset(dev_buf_bools + m, 0, (n - m) * sizeof(int)); // Padding zeroes to nearest power of two - // checkCUDAErrorFn("CudaMemset zeroes failed!"); - - // // Compute shared memory sizes - // dim3 fullBlocksPerGrid_scan((n + blockSize - 1) / blockSize); - // int sharedMemBytes = 2 * blockSize * sizeof(int); - - // timer().startGpuTimer(); - - // // Fill bools buffer - // Common::kernMapToBoolean <<> > (m, dev_buf_bools, dev_buf_i); - // cudaDeviceSynchronize(); - - // // Scan bools to output - // Efficient::prescan<<>> (n, dev_buf_indices, dev_buf_bools); - // checkCUDAErrorFn("prescan failed!"); - // cudaDeviceSynchronize(); - - // // Compact now - // Common::kernScatter << < fullBlocksPerGrid, blockSize>>> (m, dev_buf_o, dev_buf_i, dev_buf_bools, dev_buf_indices); - // checkCUDAErrorFn("efficient scatter failed!"); - // cudaDeviceSynchronize(); - - // timer().endGpuTimer(); - - // // Compute size of compacted array - // int last_index; - // cudaMemcpy(&last_index, dev_buf_indices + m - 1, sizeof(int), cudaMemcpyDeviceToHost); - - // int last_bool; - // cudaMemcpy(&last_bool, dev_buf_bools + m - 1, sizeof(int), cudaMemcpyDeviceToHost); - - // long long int count = (last_index + last_bool); - - // // Copy output to CPU - // cudaMemcpy(odata, dev_buf_o, count * sizeof(int), cudaMemcpyDeviceToHost); - // checkCUDAErrorFn("MemCpy dev_buf_o failed! (Copying output to cpu)"); - - // // Free data - // cudaFree(dev_buf_indices); - // checkCUDAErrorFn("CudaFree dev_buf_indices failed!"); - // cudaFree(dev_buf_i); - // checkCUDAErrorFn("CudaFree dev_buf_i failed!"); - // cudaFree(dev_buf_bools); - // checkCUDAErrorFn("CudaFree dev_buf_bools failed!"); - // cudaFree(dev_buf_o); - // checkCUDAErrorFn("CudaFree dev_buf_o failed!"); - timer().startGpuTimer(); - int count = -1; - timer().endGpuTimer(); + // Allocate and assign input + int* dev_buf_i = nullptr; + cudaMalloc((void**)&dev_buf_i, n * sizeof(int)); + checkCUDAErrorFn("cudaMalloc dev_buf_i failed!"); + cudaMemcpy(dev_buf_i, idata, m * sizeof(int), cudaMemcpyHostToDevice); + checkCUDAErrorFn("MemCpy dev_buf_i failed!"); + + // Allocate bools buffer + int* dev_buf_bools = nullptr; + cudaMalloc((void**)&dev_buf_bools, n * sizeof(int)); + checkCUDAErrorFn("cudaMalloc dev_buf_bools failed!"); + + //Allocate output buffer + int* dev_buf_o = nullptr; + cudaMalloc((void**)&dev_buf_o, m * sizeof(int)); + checkCUDAErrorFn("cudaMalloc dev_buf_o failed!"); + + //Allocate indices buffer + int* dev_buf_indices = nullptr; + cudaMalloc((void**)&dev_buf_indices, n * sizeof(int)); + checkCUDAErrorFn("cudaMalloc dev_buf_indices failed!"); + + cudaMemset(dev_buf_bools + m, 0, (n - m) * sizeof(int)); // Padding zeroes to nearest power of two + checkCUDAErrorFn("CudaMemset zeroes failed!"); + + // Compute shared memory sizes + //dim3 fullBlocksPerGrid_scan((n + blockSize - 1) / blockSize); + //int sharedMemBytes = 2 * blockSize * sizeof(int); + + // Number of blocks and threads + int B = 2 * blockSize; + int numBlocks = (n + B - 1) / B; // ceil(n / B) + dim3 fullBlocksPerGrid_scan(numBlocks); + int sharedMemBytes_scan = (B + CONFLICT_FREE_OFFSET(B)) * sizeof(int); + + // Inter-Block Accumulation + + int* dev_buf_blockSums = nullptr; // Per-block Sums + int* dev_buf_blockIncr = nullptr; // Per-block sums scan + + // Number of blocks and threads + int num_blocks_next_power_2 = 1 << ilog2ceil(numBlocks); + dim3 fullBlocksPerGrid_offsets((numBlocks + blockSize - 1) / blockSize); + int sharedMem_offsets = (num_blocks_next_power_2 + CONFLICT_FREE_OFFSET(num_blocks_next_power_2)) * sizeof(int); + int threads_offsets = num_blocks_next_power_2 / 2; + + // Allocate and copy Memory + cudaMalloc((void**)&dev_buf_blockSums, num_blocks_next_power_2 * sizeof(int)); + checkCUDAErrorFn("cudaMalloc dev_buf_blockSums in scan failed!"); + + if (num_blocks_next_power_2 > numBlocks) { + cudaMemset(dev_buf_blockSums + numBlocks, 0, + (num_blocks_next_power_2 - numBlocks) * sizeof(int)); + } + cudaMalloc((void**)&dev_buf_blockIncr, num_blocks_next_power_2 * sizeof(int)); + checkCUDAErrorFn("cudaMalloc dev_buf_blockIncr in scan failed!"); + + + timer().startGpuTimer(); + //------------------------------------GPU-------------------------------------- + // Fill bools buffer + Common::kernMapToBoolean <<> > (m, dev_buf_bools, dev_buf_i); + cudaDeviceSynchronize(); + + // Scan bools to output + Efficient::multi_scan << > > (n, B, dev_buf_indices, dev_buf_bools, dev_buf_blockSums); + checkCUDAErrorFn("multi-scan failed!"); + cudaDeviceSynchronize(); + if (numBlocks > 1) { + Efficient::prescan << > > (num_blocks_next_power_2, dev_buf_blockIncr, dev_buf_blockSums); + checkCUDAErrorFn("prescan of offsets failed!"); + cudaDeviceSynchronize(); + + uniformAdd << > > (n, dev_buf_indices, dev_buf_blockIncr, B); + checkCUDAErrorFn("Uniform Add failed!"); + cudaDeviceSynchronize(); + } + + // Compact now + Common::kernScatter << < fullBlocksPerGrid, blockSize>>> (m, dev_buf_o, dev_buf_i, dev_buf_bools, dev_buf_indices); + checkCUDAErrorFn("efficient scatter failed!"); + cudaDeviceSynchronize(); + //---------------------------------------------------------------------------- + timer().endGpuTimer(); + + // Compute size of compacted array + int last_index; + cudaMemcpy(&last_index, dev_buf_indices + m - 1, sizeof(int), cudaMemcpyDeviceToHost); + + int last_bool; + cudaMemcpy(&last_bool, dev_buf_bools + m - 1, sizeof(int), cudaMemcpyDeviceToHost); + + long long int count = (last_index + last_bool); + + // Copy output to CPU + cudaMemcpy(odata, dev_buf_o, count * sizeof(int), cudaMemcpyDeviceToHost); + checkCUDAErrorFn("MemCpy dev_buf_o failed! (Copying output to cpu)"); + + // Free data + cudaFree(dev_buf_indices); + checkCUDAErrorFn("CudaFree dev_buf_indices failed!"); + cudaFree(dev_buf_i); + checkCUDAErrorFn("CudaFree dev_buf_i failed!"); + cudaFree(dev_buf_bools); + checkCUDAErrorFn("CudaFree dev_buf_bools failed!"); + cudaFree(dev_buf_o); + checkCUDAErrorFn("CudaFree dev_buf_o failed!"); + + cudaFree(dev_buf_blockSums); + checkCUDAErrorFn("CudaFree dev_buf_blockSums in scan failed!"); + cudaFree(dev_buf_blockIncr); + checkCUDAErrorFn("CudaFree dev_buf_blockIncr in scan failed!"); + //timer().startGpuTimer(); + //int count = -1; + //timer().endGpuTimer(); return count; } } From 66955d512ee61d5d5a8693d504689d3ece832c12 Mon Sep 17 00:00:00 2001 From: Vismay Churiwala Date: Tue, 16 Sep 2025 20:31:35 -0400 Subject: [PATCH 08/15] Testing branch --- src/main.cpp | 431 ++++++++++++++++++++++----------- src/testing_helpers.hpp | 25 +- stream_compaction/efficient.cu | 11 +- 3 files changed, 316 insertions(+), 151 deletions(-) diff --git a/src/main.cpp b/src/main.cpp index a7435d00..3bd575f3 100644 --- a/src/main.cpp +++ b/src/main.cpp @@ -6,149 +6,306 @@ * @copyright University of Pennsylvania */ +//#include +//#include +//#include +//#include +//#include +//#include "testing_helpers.hpp" +// +//const int SIZE = 1 << 20; // feel free to change the size of array +//const int NPOT = SIZE - 3; // Non-Power-Of-Two +//int *a = new int[SIZE]; +//int *b = new int[SIZE]; +//int *c = new int[SIZE]; +// +//int main(int argc, char* argv[]) { +// // Scan tests +// +// printf("\n"); +// printf("****************\n"); +// printf("** SCAN TESTS **\n"); +// printf("****************\n"); +// +// genArray(SIZE - 1, a, 50); // Leave a 0 at the end to test that edge case +// a[SIZE - 1] = 0; +// printArray(SIZE, a, true); +// +// // initialize b using StreamCompaction::CPU::scan you implement +// // We use b for further comparison. Make sure your StreamCompaction::CPU::scan is correct. +// // At first all cases passed because b && c are all zeroes. +// zeroArray(SIZE, b); +// printDesc("cpu scan, power-of-two"); +// StreamCompaction::CPU::scan(SIZE, b, a); +// printElapsedTime(StreamCompaction::CPU::timer().getCpuElapsedTimeForPreviousOperation(), "(std::chrono Measured)"); +// printArray(SIZE, b, true); +// +// zeroArray(SIZE, c); +// printDesc("cpu scan, non-power-of-two"); +// StreamCompaction::CPU::scan(NPOT, c, a); +// printElapsedTime(StreamCompaction::CPU::timer().getCpuElapsedTimeForPreviousOperation(), "(std::chrono Measured)"); +// printArray(NPOT, c, true); +// printCmpResult(NPOT, b, c); +// +// zeroArray(SIZE, c); +// printDesc("naive scan, power-of-two"); +// StreamCompaction::Naive::scan(SIZE, c, a); +// printElapsedTime(StreamCompaction::Naive::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); +// //printArray(SIZE, c, true); +// printCmpResult(SIZE, b, c); +// +// /* For bug-finding only: Array of 1s to help find bugs in stream compaction or scan +// onesArray(SIZE, c); +// printDesc("1s array for finding bugs"); +// StreamCompaction::Naive::scan(SIZE, c, a); +// printArray(SIZE, c, true); */ +// +// zeroArray(SIZE, c); +// printDesc("naive scan, non-power-of-two"); +// StreamCompaction::Naive::scan(NPOT, c, a); +// printElapsedTime(StreamCompaction::Naive::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); +// //printArray(SIZE, c, true); +// printCmpResult(NPOT, b, c); +// +// zeroArray(SIZE, c); +// printDesc("work-efficient scan, power-of-two"); +// StreamCompaction::Efficient::scan(SIZE, c, a); +// printElapsedTime(StreamCompaction::Efficient::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); +// //printArray(SIZE, c, true); +// printCmpResult(SIZE, b, c); +// +// zeroArray(SIZE, c); +// printDesc("work-efficient scan, non-power-of-two"); +// StreamCompaction::Efficient::scan(NPOT, c, a); +// printElapsedTime(StreamCompaction::Efficient::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); +// //printArray(NPOT, c, true); +// printCmpResult(NPOT, b, c); +// +// zeroArray(SIZE, c); +// printDesc("thrust scan, power-of-two"); +// StreamCompaction::Thrust::scan(SIZE, c, a); +// printElapsedTime(StreamCompaction::Thrust::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); +// //printArray(SIZE, c, true); +// printCmpResult(SIZE, b, c); +// +// zeroArray(SIZE, c); +// printDesc("thrust scan, non-power-of-two"); +// StreamCompaction::Thrust::scan(NPOT, c, a); +// printElapsedTime(StreamCompaction::Thrust::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); +// //printArray(NPOT, c, true); +// printCmpResult(NPOT, b, c); +// +// printf("\n"); +// printf("*****************************\n"); +// printf("** STREAM COMPACTION TESTS **\n"); +// printf("*****************************\n"); +// +// // Compaction tests +// +// genArray(SIZE - 1, a, 4); // Leave a 0 at the end to test that edge case +// a[SIZE - 1] = 0; +// printArray(SIZE, a, true); +// +// int count, expectedCount, expectedNPOT; +// +// // initialize b using StreamCompaction::CPU::compactWithoutScan you implement +// // We use b for further comparison. Make sure your StreamCompaction::CPU::compactWithoutScan is correct. +// zeroArray(SIZE, b); +// printDesc("cpu compact without scan, power-of-two"); +// count = StreamCompaction::CPU::compactWithoutScan(SIZE, b, a); +// printElapsedTime(StreamCompaction::CPU::timer().getCpuElapsedTimeForPreviousOperation(), "(std::chrono Measured)"); +// expectedCount = count; +// printArray(count, b, true); +// printCmpLenResult(count, expectedCount, b, b); +// +// zeroArray(SIZE, c); +// printDesc("cpu compact without scan, non-power-of-two"); +// count = StreamCompaction::CPU::compactWithoutScan(NPOT, c, a); +// printElapsedTime(StreamCompaction::CPU::timer().getCpuElapsedTimeForPreviousOperation(), "(std::chrono Measured)"); +// expectedNPOT = count; +// printArray(count, c, true); +// printCmpLenResult(count, expectedNPOT, b, c); +// +// zeroArray(SIZE, c); +// printDesc("cpu compact with scan"); +// count = StreamCompaction::CPU::compactWithScan(SIZE, c, a); +// printElapsedTime(StreamCompaction::CPU::timer().getCpuElapsedTimeForPreviousOperation(), "(std::chrono Measured)"); +// printArray(count, c, true); +// printCmpLenResult(count, expectedCount, b, c); +// +// zeroArray(SIZE, c); +// printDesc("work-efficient compact, power-of-two"); +// count = StreamCompaction::Efficient::compact(SIZE, c, a); +// printElapsedTime(StreamCompaction::Efficient::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); +// printArray(count, c, true); +// printCmpLenResult(count, expectedCount, b, c); +// +// zeroArray(SIZE, c); +// printDesc("work-efficient compact, non-power-of-two"); +// count = StreamCompaction::Efficient::compact(NPOT, c, a); +// printElapsedTime(StreamCompaction::Efficient::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); +// printArray(count, c, true); +// printCmpLenResult(count, expectedNPOT, b, c); +// +// system("pause"); // stop Win32 console from closing on exit +// delete[] a; +// delete[] b; +// delete[] c; +//} + #include #include #include #include #include #include "testing_helpers.hpp" +#include +#include -const int SIZE = 1 << 20; // feel free to change the size of array -const int NPOT = SIZE - 3; // Non-Power-Of-Two -int *a = new int[SIZE]; -int *b = new int[SIZE]; -int *c = new int[SIZE]; - +const int TWO_POW = 8; +//Testing int main(int argc, char* argv[]) { - // Scan tests - - printf("\n"); - printf("****************\n"); - printf("** SCAN TESTS **\n"); - printf("****************\n"); - - genArray(SIZE - 1, a, 50); // Leave a 0 at the end to test that edge case - a[SIZE - 1] = 0; - printArray(SIZE, a, true); - - // initialize b using StreamCompaction::CPU::scan you implement - // We use b for further comparison. Make sure your StreamCompaction::CPU::scan is correct. - // At first all cases passed because b && c are all zeroes. - zeroArray(SIZE, b); - printDesc("cpu scan, power-of-two"); - StreamCompaction::CPU::scan(SIZE, b, a); - printElapsedTime(StreamCompaction::CPU::timer().getCpuElapsedTimeForPreviousOperation(), "(std::chrono Measured)"); - printArray(SIZE, b, true); - - zeroArray(SIZE, c); - printDesc("cpu scan, non-power-of-two"); - StreamCompaction::CPU::scan(NPOT, c, a); - printElapsedTime(StreamCompaction::CPU::timer().getCpuElapsedTimeForPreviousOperation(), "(std::chrono Measured)"); - printArray(NPOT, c, true); - printCmpResult(NPOT, b, c); - - zeroArray(SIZE, c); - printDesc("naive scan, power-of-two"); - StreamCompaction::Naive::scan(SIZE, c, a); - printElapsedTime(StreamCompaction::Naive::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); - //printArray(SIZE, c, true); - printCmpResult(SIZE, b, c); - - /* For bug-finding only: Array of 1s to help find bugs in stream compaction or scan - onesArray(SIZE, c); - printDesc("1s array for finding bugs"); - StreamCompaction::Naive::scan(SIZE, c, a); - printArray(SIZE, c, true); */ - - zeroArray(SIZE, c); - printDesc("naive scan, non-power-of-two"); - StreamCompaction::Naive::scan(NPOT, c, a); - printElapsedTime(StreamCompaction::Naive::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); - //printArray(SIZE, c, true); - printCmpResult(NPOT, b, c); - - zeroArray(SIZE, c); - printDesc("work-efficient scan, power-of-two"); - StreamCompaction::Efficient::scan(SIZE, c, a); - printElapsedTime(StreamCompaction::Efficient::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); - //printArray(SIZE, c, true); - printCmpResult(SIZE, b, c); - - zeroArray(SIZE, c); - printDesc("work-efficient scan, non-power-of-two"); - StreamCompaction::Efficient::scan(NPOT, c, a); - printElapsedTime(StreamCompaction::Efficient::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); - //printArray(NPOT, c, true); - printCmpResult(NPOT, b, c); - - zeroArray(SIZE, c); - printDesc("thrust scan, power-of-two"); - StreamCompaction::Thrust::scan(SIZE, c, a); - printElapsedTime(StreamCompaction::Thrust::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); - //printArray(SIZE, c, true); - printCmpResult(SIZE, b, c); - - zeroArray(SIZE, c); - printDesc("thrust scan, non-power-of-two"); - StreamCompaction::Thrust::scan(NPOT, c, a); - printElapsedTime(StreamCompaction::Thrust::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); - //printArray(NPOT, c, true); - printCmpResult(NPOT, b, c); - - printf("\n"); - printf("*****************************\n"); - printf("** STREAM COMPACTION TESTS **\n"); - printf("*****************************\n"); - - // Compaction tests - - genArray(SIZE - 1, a, 4); // Leave a 0 at the end to test that edge case - a[SIZE - 1] = 0; - printArray(SIZE, a, true); - - int count, expectedCount, expectedNPOT; - - // initialize b using StreamCompaction::CPU::compactWithoutScan you implement - // We use b for further comparison. Make sure your StreamCompaction::CPU::compactWithoutScan is correct. - zeroArray(SIZE, b); - printDesc("cpu compact without scan, power-of-two"); - count = StreamCompaction::CPU::compactWithoutScan(SIZE, b, a); - printElapsedTime(StreamCompaction::CPU::timer().getCpuElapsedTimeForPreviousOperation(), "(std::chrono Measured)"); - expectedCount = count; - printArray(count, b, true); - printCmpLenResult(count, expectedCount, b, b); - - zeroArray(SIZE, c); - printDesc("cpu compact without scan, non-power-of-two"); - count = StreamCompaction::CPU::compactWithoutScan(NPOT, c, a); - printElapsedTime(StreamCompaction::CPU::timer().getCpuElapsedTimeForPreviousOperation(), "(std::chrono Measured)"); - expectedNPOT = count; - printArray(count, c, true); - printCmpLenResult(count, expectedNPOT, b, c); - - zeroArray(SIZE, c); - printDesc("cpu compact with scan"); - count = StreamCompaction::CPU::compactWithScan(SIZE, c, a); - printElapsedTime(StreamCompaction::CPU::timer().getCpuElapsedTimeForPreviousOperation(), "(std::chrono Measured)"); - printArray(count, c, true); - printCmpLenResult(count, expectedCount, b, c); - - zeroArray(SIZE, c); - printDesc("work-efficient compact, power-of-two"); - count = StreamCompaction::Efficient::compact(SIZE, c, a); - printElapsedTime(StreamCompaction::Efficient::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); - printArray(count, c, true); - printCmpLenResult(count, expectedCount, b, c); - - zeroArray(SIZE, c); - printDesc("work-efficient compact, non-power-of-two"); - count = StreamCompaction::Efficient::compact(NPOT, c, a); - printElapsedTime(StreamCompaction::Efficient::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); - printArray(count, c, true); - printCmpLenResult(count, expectedNPOT, b, c); - - system("pause"); // stop Win32 console from closing on exit - delete[] a; - delete[] b; - delete[] c; + FILE* f = freopen("timings.txt", "a", stdout); + const int SIZE = 1 << TWO_POW; // feel free to change the size of array + const int NPOT = SIZE - 3; // Non-Power-Of-Two + int* a = new int[SIZE]; + int* b = new int[SIZE]; + int* c = new int[SIZE]; + // Scan tests + + //printf("\n"); + //printf("****************\n"); + printf("** SCAN TESTS **\n"); + //printf("****************\n"); + + std::cout << "SIZE= " << SIZE; + //for (int i = 1; i < 10; i++) { + printf("\n"); + //std::cout << "RUN#" << i << std::endl; + + genArray(SIZE - 1, a, 50); // Leave a 0 at the end to test that edge case + a[SIZE - 1] = 0; + //printArray(SIZE, a, true); + + // initialize b using StreamCompaction::CPU::scan you implement + // We use b for further comparison. Make sure your StreamCompaction::CPU::scan is correct. + // At first all cases passed because b && c are all zeroes. + zeroArray(SIZE, b); + //printDesc("cpu scan, power-of-two"); + StreamCompaction::CPU::scan(SIZE, b, a); + printElapsedTime(StreamCompaction::CPU::timer().getCpuElapsedTimeForPreviousOperation()); + //printArray(SIZE, b, true); + + zeroArray(SIZE, c); + //printDesc("cpu scan, non-power-of-two"); + StreamCompaction::CPU::scan(NPOT, c, a); + printElapsedTime(StreamCompaction::CPU::timer().getCpuElapsedTimeForPreviousOperation()); + //printArray(NPOT, c, true); + printCmpResult(NPOT, b, c); + + zeroArray(SIZE, c); + //printDesc("naive scan, power-of-two"); + StreamCompaction::Naive::scan(SIZE, c, a); + printElapsedTime(StreamCompaction::Naive::timer().getGpuElapsedTimeForPreviousOperation()); + //printArray(SIZE, c, true); + printCmpResult(SIZE, b, c); + + /* For bug-finding only: Array of 1s to help find bugs in stream compaction or scan + onesArray(SIZE, c); + printDesc("1s array for finding bugs"); + StreamCompaction::Naive::scan(SIZE, c, a); + printArray(SIZE, c, true); */ + + zeroArray(SIZE, c); + //printDesc("naive scan, non-power-of-two"); + StreamCompaction::Naive::scan(NPOT, c, a); + printElapsedTime(StreamCompaction::Naive::timer().getGpuElapsedTimeForPreviousOperation()); + //printArray(SIZE, c, true); + printCmpResult(NPOT, b, c); + + zeroArray(SIZE, c); + //printDesc("work-efficient scan, power-of-two"); + StreamCompaction::Efficient::scan(SIZE, c, a); + printElapsedTime(StreamCompaction::Efficient::timer().getGpuElapsedTimeForPreviousOperation()); + //printArray(SIZE, c, true); + printCmpResult(SIZE, b, c); + + zeroArray(SIZE, c); + //printDesc("work-efficient scan, non-power-of-two"); + StreamCompaction::Efficient::scan(NPOT, c, a); + printElapsedTime(StreamCompaction::Efficient::timer().getGpuElapsedTimeForPreviousOperation()); + //printArray(NPOT, c, true); + printCmpResult(NPOT, b, c); + + zeroArray(SIZE, c); + //printDesc("thrust scan, power-of-two"); + StreamCompaction::Thrust::scan(SIZE, c, a); + printElapsedTime(StreamCompaction::Thrust::timer().getGpuElapsedTimeForPreviousOperation()); + //printArray(SIZE, c, true); + printCmpResult(SIZE, b, c); + + zeroArray(SIZE, c); + //printDesc("thrust scan, non-power-of-two"); + StreamCompaction::Thrust::scan(NPOT, c, a); + printElapsedTime(StreamCompaction::Thrust::timer().getGpuElapsedTimeForPreviousOperation()); + //printArray(NPOT, c, true); + printCmpResult(NPOT, b, c); + + printf("\n"); + //printf("*****************************\n"); + //printf("** STREAM COMPACTION TESTS **\n"); + //printf("*****************************\n"); + + // Compaction tests + + genArray(SIZE - 1, a, 4); // Leave a 0 at the end to test that edge case + a[SIZE - 1] = 0; + //printArray(SIZE, a, true); + + int count, expectedCount, expectedNPOT; + + // initialize b using StreamCompaction::CPU::compactWithoutScan you implement + // We use b for further comparison. Make sure your StreamCompaction::CPU::compactWithoutScan is correct. + zeroArray(SIZE, b); + //printDesc("cpu compact without scan, power-of-two"); + count = StreamCompaction::CPU::compactWithoutScan(SIZE, b, a); + printElapsedTime(StreamCompaction::CPU::timer().getCpuElapsedTimeForPreviousOperation()); + expectedCount = count; + //printArray(count, b, true); + printCmpLenResult(count, expectedCount, b, b); + + zeroArray(SIZE, c); + //printDesc("cpu compact without scan, non-power-of-two"); + count = StreamCompaction::CPU::compactWithoutScan(NPOT, c, a); + printElapsedTime(StreamCompaction::CPU::timer().getCpuElapsedTimeForPreviousOperation()); + expectedNPOT = count; + //printArray(count, c, true); + printCmpLenResult(count, expectedNPOT, b, c); + + zeroArray(SIZE, c); + //printDesc("cpu compact with scan"); + count = StreamCompaction::CPU::compactWithScan(SIZE, c, a); + printElapsedTime(StreamCompaction::CPU::timer().getCpuElapsedTimeForPreviousOperation()); + //printArray(count, c, true); + printCmpLenResult(count, expectedCount, b, c); + + zeroArray(SIZE, c); + //printDesc("work-efficient compact, power-of-two"); + count = StreamCompaction::Efficient::compact(SIZE, c, a); + printElapsedTime(StreamCompaction::Efficient::timer().getGpuElapsedTimeForPreviousOperation()); + //printArray(count, c, true); + printCmpLenResult(count, expectedCount, b, c); + + zeroArray(SIZE, c); + //printDesc("work-efficient compact, non-power-of-two"); + count = StreamCompaction::Efficient::compact(NPOT, c, a); + printElapsedTime(StreamCompaction::Efficient::timer().getGpuElapsedTimeForPreviousOperation()); + //printArray(count, c, true); + printCmpLenResult(count, expectedNPOT, b, c); + + std::this_thread::sleep_for(std::chrono::milliseconds(1000)); + delete[] a; + delete[] b; + delete[] c; + //system("pause"); // stop Win32 console from closing on exit } diff --git a/src/testing_helpers.hpp b/src/testing_helpers.hpp index 025e94aa..80b233eb 100644 --- a/src/testing_helpers.hpp +++ b/src/testing_helpers.hpp @@ -23,8 +23,11 @@ void printDesc(const char *desc) { template void printCmpResult(int n, T *a, T *b) { - printf(" %s \n", - cmpArrays(n, a, b) ? "FAIL VALUE" : "passed"); + char* ans = cmpArrays(n, a, b) ? "FAIL VALUE" : "passed"; + if (ans != "passed") { + printf("%s \n", + ans); + } } template @@ -32,9 +35,12 @@ void printCmpLenResult(int n, int expN, T *a, T *b) { if (n != expN) { printf(" expected %d elements, got %d\n", expN, n); } - printf(" %s \n", - (n == -1 || n != expN) ? "FAIL COUNT" : - cmpArrays(n, a, b) ? "FAIL VALUE" : "passed"); + char* ans = (n == -1 || n != expN) ? "FAIL COUNT" : + cmpArrays(n, a, b) ? "FAIL VALUE" : "passed"; + if (ans != "passed") { + printf("%s \n", + ans); + } } void zeroArray(int n, int *a) { @@ -69,8 +75,13 @@ void printArray(int n, int *a, bool abridged = false) { printf("]\n"); } +//template +//void printElapsedTime(T time, std::string note = "") +//{ +// std::cout << " elapsed time: " << time << "ms " << note << std::endl; +//} template void printElapsedTime(T time, std::string note = "") { - std::cout << " elapsed time: " << time << "ms " << note << std::endl; -} + std::cout << time << std::endl; +} \ No newline at end of file diff --git a/stream_compaction/efficient.cu b/stream_compaction/efficient.cu index 16ac9935..c65b9adc 100644 --- a/stream_compaction/efficient.cu +++ b/stream_compaction/efficient.cu @@ -3,10 +3,10 @@ #include "common.h" #include "efficient.h" -#define NUM_BANKS 16 -#define LOG_NUM_BANKS 4 -#define CONFLICT_FREE_OFFSET(n)((n) >> NUM_BANKS + (n) >> (2 * LOG_NUM_BANKS)) - +#define NUM_BANKS 32 +#define LOG_NUM_BANKS 5 +//#define CONFLICT_FREE_OFFSET(n)((n) >> NUM_BANKS + (n) >> (2 * LOG_NUM_BANKS)) +#define CONFLICT_FREE_OFFSET(n) ((n) >>(LOG_NUM_BANKS)) namespace StreamCompaction { namespace Efficient { using StreamCompaction::Common::PerformanceTimer; @@ -381,9 +381,6 @@ namespace StreamCompaction { checkCUDAErrorFn("CudaFree dev_buf_blockSums in scan failed!"); cudaFree(dev_buf_blockIncr); checkCUDAErrorFn("CudaFree dev_buf_blockIncr in scan failed!"); - //timer().startGpuTimer(); - //int count = -1; - //timer().endGpuTimer(); return count; } } From 0789afb3471d1d16d64ac258dd72369bd9dd7d99 Mon Sep 17 00:00:00 2001 From: Vismay Churiwala Date: Tue, 16 Sep 2025 21:37:45 -0400 Subject: [PATCH 09/15] Added Recursive scan in Efficient for arbitrary size of array --- src/main.cpp | 549 +++++++++++++++++---------------- src/testing_helpers.hpp | 20 +- stream_compaction/efficient.cu | 137 +++----- 3 files changed, 329 insertions(+), 377 deletions(-) diff --git a/src/main.cpp b/src/main.cpp index 3bd575f3..90cad8be 100644 --- a/src/main.cpp +++ b/src/main.cpp @@ -6,306 +6,309 @@ * @copyright University of Pennsylvania */ -//#include -//#include -//#include -//#include -//#include -//#include "testing_helpers.hpp" -// -//const int SIZE = 1 << 20; // feel free to change the size of array -//const int NPOT = SIZE - 3; // Non-Power-Of-Two -//int *a = new int[SIZE]; -//int *b = new int[SIZE]; -//int *c = new int[SIZE]; -// -//int main(int argc, char* argv[]) { -// // Scan tests -// -// printf("\n"); -// printf("****************\n"); -// printf("** SCAN TESTS **\n"); -// printf("****************\n"); -// -// genArray(SIZE - 1, a, 50); // Leave a 0 at the end to test that edge case -// a[SIZE - 1] = 0; -// printArray(SIZE, a, true); -// -// // initialize b using StreamCompaction::CPU::scan you implement -// // We use b for further comparison. Make sure your StreamCompaction::CPU::scan is correct. -// // At first all cases passed because b && c are all zeroes. -// zeroArray(SIZE, b); -// printDesc("cpu scan, power-of-two"); -// StreamCompaction::CPU::scan(SIZE, b, a); -// printElapsedTime(StreamCompaction::CPU::timer().getCpuElapsedTimeForPreviousOperation(), "(std::chrono Measured)"); -// printArray(SIZE, b, true); -// -// zeroArray(SIZE, c); -// printDesc("cpu scan, non-power-of-two"); -// StreamCompaction::CPU::scan(NPOT, c, a); -// printElapsedTime(StreamCompaction::CPU::timer().getCpuElapsedTimeForPreviousOperation(), "(std::chrono Measured)"); -// printArray(NPOT, c, true); -// printCmpResult(NPOT, b, c); -// -// zeroArray(SIZE, c); -// printDesc("naive scan, power-of-two"); -// StreamCompaction::Naive::scan(SIZE, c, a); -// printElapsedTime(StreamCompaction::Naive::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); -// //printArray(SIZE, c, true); -// printCmpResult(SIZE, b, c); -// -// /* For bug-finding only: Array of 1s to help find bugs in stream compaction or scan -// onesArray(SIZE, c); -// printDesc("1s array for finding bugs"); -// StreamCompaction::Naive::scan(SIZE, c, a); -// printArray(SIZE, c, true); */ -// -// zeroArray(SIZE, c); -// printDesc("naive scan, non-power-of-two"); -// StreamCompaction::Naive::scan(NPOT, c, a); -// printElapsedTime(StreamCompaction::Naive::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); -// //printArray(SIZE, c, true); -// printCmpResult(NPOT, b, c); -// -// zeroArray(SIZE, c); -// printDesc("work-efficient scan, power-of-two"); -// StreamCompaction::Efficient::scan(SIZE, c, a); -// printElapsedTime(StreamCompaction::Efficient::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); -// //printArray(SIZE, c, true); -// printCmpResult(SIZE, b, c); -// -// zeroArray(SIZE, c); -// printDesc("work-efficient scan, non-power-of-two"); -// StreamCompaction::Efficient::scan(NPOT, c, a); -// printElapsedTime(StreamCompaction::Efficient::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); -// //printArray(NPOT, c, true); -// printCmpResult(NPOT, b, c); -// -// zeroArray(SIZE, c); -// printDesc("thrust scan, power-of-two"); -// StreamCompaction::Thrust::scan(SIZE, c, a); -// printElapsedTime(StreamCompaction::Thrust::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); -// //printArray(SIZE, c, true); -// printCmpResult(SIZE, b, c); -// -// zeroArray(SIZE, c); -// printDesc("thrust scan, non-power-of-two"); -// StreamCompaction::Thrust::scan(NPOT, c, a); -// printElapsedTime(StreamCompaction::Thrust::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); -// //printArray(NPOT, c, true); -// printCmpResult(NPOT, b, c); -// -// printf("\n"); -// printf("*****************************\n"); -// printf("** STREAM COMPACTION TESTS **\n"); -// printf("*****************************\n"); -// -// // Compaction tests -// -// genArray(SIZE - 1, a, 4); // Leave a 0 at the end to test that edge case -// a[SIZE - 1] = 0; -// printArray(SIZE, a, true); -// -// int count, expectedCount, expectedNPOT; -// -// // initialize b using StreamCompaction::CPU::compactWithoutScan you implement -// // We use b for further comparison. Make sure your StreamCompaction::CPU::compactWithoutScan is correct. -// zeroArray(SIZE, b); -// printDesc("cpu compact without scan, power-of-two"); -// count = StreamCompaction::CPU::compactWithoutScan(SIZE, b, a); -// printElapsedTime(StreamCompaction::CPU::timer().getCpuElapsedTimeForPreviousOperation(), "(std::chrono Measured)"); -// expectedCount = count; -// printArray(count, b, true); -// printCmpLenResult(count, expectedCount, b, b); -// -// zeroArray(SIZE, c); -// printDesc("cpu compact without scan, non-power-of-two"); -// count = StreamCompaction::CPU::compactWithoutScan(NPOT, c, a); -// printElapsedTime(StreamCompaction::CPU::timer().getCpuElapsedTimeForPreviousOperation(), "(std::chrono Measured)"); -// expectedNPOT = count; -// printArray(count, c, true); -// printCmpLenResult(count, expectedNPOT, b, c); -// -// zeroArray(SIZE, c); -// printDesc("cpu compact with scan"); -// count = StreamCompaction::CPU::compactWithScan(SIZE, c, a); -// printElapsedTime(StreamCompaction::CPU::timer().getCpuElapsedTimeForPreviousOperation(), "(std::chrono Measured)"); -// printArray(count, c, true); -// printCmpLenResult(count, expectedCount, b, c); -// -// zeroArray(SIZE, c); -// printDesc("work-efficient compact, power-of-two"); -// count = StreamCompaction::Efficient::compact(SIZE, c, a); -// printElapsedTime(StreamCompaction::Efficient::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); -// printArray(count, c, true); -// printCmpLenResult(count, expectedCount, b, c); -// -// zeroArray(SIZE, c); -// printDesc("work-efficient compact, non-power-of-two"); -// count = StreamCompaction::Efficient::compact(NPOT, c, a); -// printElapsedTime(StreamCompaction::Efficient::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); -// printArray(count, c, true); -// printCmpLenResult(count, expectedNPOT, b, c); -// -// system("pause"); // stop Win32 console from closing on exit -// delete[] a; -// delete[] b; -// delete[] c; -//} - #include #include #include #include #include #include "testing_helpers.hpp" -#include -#include -const int TWO_POW = 8; -//Testing -int main(int argc, char* argv[]) { - FILE* f = freopen("timings.txt", "a", stdout); - const int SIZE = 1 << TWO_POW; // feel free to change the size of array - const int NPOT = SIZE - 3; // Non-Power-Of-Two - int* a = new int[SIZE]; - int* b = new int[SIZE]; - int* c = new int[SIZE]; - // Scan tests +const int SIZE = 1 << 25; // feel free to change the size of array +const int NPOT = SIZE - 3; // Non-Power-Of-Two +int *a = new int[SIZE]; +int *b = new int[SIZE]; +int *c = new int[SIZE]; - //printf("\n"); - //printf("****************\n"); - printf("** SCAN TESTS **\n"); - //printf("****************\n"); +int main(int argc, char* argv[]) { + // Scan tests - std::cout << "SIZE= " << SIZE; - //for (int i = 1; i < 10; i++) { - printf("\n"); - //std::cout << "RUN#" << i << std::endl; + printf("\n"); + printf("****************\n"); + printf("** SCAN TESTS **\n"); + printf("****************\n"); - genArray(SIZE - 1, a, 50); // Leave a 0 at the end to test that edge case - a[SIZE - 1] = 0; - //printArray(SIZE, a, true); + genArray(SIZE - 1, a, 50); // Leave a 0 at the end to test that edge case + a[SIZE - 1] = 0; + printArray(SIZE, a, true); - // initialize b using StreamCompaction::CPU::scan you implement - // We use b for further comparison. Make sure your StreamCompaction::CPU::scan is correct. - // At first all cases passed because b && c are all zeroes. - zeroArray(SIZE, b); - //printDesc("cpu scan, power-of-two"); - StreamCompaction::CPU::scan(SIZE, b, a); - printElapsedTime(StreamCompaction::CPU::timer().getCpuElapsedTimeForPreviousOperation()); - //printArray(SIZE, b, true); + // initialize b using StreamCompaction::CPU::scan you implement + // We use b for further comparison. Make sure your StreamCompaction::CPU::scan is correct. + // At first all cases passed because b && c are all zeroes. + zeroArray(SIZE, b); + printDesc("cpu scan, power-of-two"); + StreamCompaction::CPU::scan(SIZE, b, a); + printElapsedTime(StreamCompaction::CPU::timer().getCpuElapsedTimeForPreviousOperation(), "(std::chrono Measured)"); + printArray(SIZE, b, true); - zeroArray(SIZE, c); - //printDesc("cpu scan, non-power-of-two"); - StreamCompaction::CPU::scan(NPOT, c, a); - printElapsedTime(StreamCompaction::CPU::timer().getCpuElapsedTimeForPreviousOperation()); - //printArray(NPOT, c, true); - printCmpResult(NPOT, b, c); + zeroArray(SIZE, c); + printDesc("cpu scan, non-power-of-two"); + StreamCompaction::CPU::scan(NPOT, c, a); + printElapsedTime(StreamCompaction::CPU::timer().getCpuElapsedTimeForPreviousOperation(), "(std::chrono Measured)"); + printArray(NPOT, c, true); + printCmpResult(NPOT, b, c); - zeroArray(SIZE, c); - //printDesc("naive scan, power-of-two"); - StreamCompaction::Naive::scan(SIZE, c, a); - printElapsedTime(StreamCompaction::Naive::timer().getGpuElapsedTimeForPreviousOperation()); - //printArray(SIZE, c, true); - printCmpResult(SIZE, b, c); + zeroArray(SIZE, c); + printDesc("naive scan, power-of-two"); + StreamCompaction::Naive::scan(SIZE, c, a); + printElapsedTime(StreamCompaction::Naive::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); + //printArray(SIZE, c, true); + printCmpResult(SIZE, b, c); - /* For bug-finding only: Array of 1s to help find bugs in stream compaction or scan - onesArray(SIZE, c); - printDesc("1s array for finding bugs"); - StreamCompaction::Naive::scan(SIZE, c, a); - printArray(SIZE, c, true); */ + /* For bug-finding only: Array of 1s to help find bugs in stream compaction or scan + onesArray(SIZE, c); + printDesc("1s array for finding bugs"); + StreamCompaction::Naive::scan(SIZE, c, a); + printArray(SIZE, c, true); */ - zeroArray(SIZE, c); - //printDesc("naive scan, non-power-of-two"); - StreamCompaction::Naive::scan(NPOT, c, a); - printElapsedTime(StreamCompaction::Naive::timer().getGpuElapsedTimeForPreviousOperation()); - //printArray(SIZE, c, true); - printCmpResult(NPOT, b, c); + zeroArray(SIZE, c); + printDesc("naive scan, non-power-of-two"); + StreamCompaction::Naive::scan(NPOT, c, a); + printElapsedTime(StreamCompaction::Naive::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); + //printArray(SIZE, c, true); + printCmpResult(NPOT, b, c); - zeroArray(SIZE, c); - //printDesc("work-efficient scan, power-of-two"); - StreamCompaction::Efficient::scan(SIZE, c, a); - printElapsedTime(StreamCompaction::Efficient::timer().getGpuElapsedTimeForPreviousOperation()); - //printArray(SIZE, c, true); - printCmpResult(SIZE, b, c); + zeroArray(SIZE, c); + printDesc("work-efficient scan, power-of-two"); + StreamCompaction::Efficient::scan(SIZE, c, a); + printElapsedTime(StreamCompaction::Efficient::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); + //printArray(SIZE, c, true); + printCmpResult(SIZE, b, c); - zeroArray(SIZE, c); - //printDesc("work-efficient scan, non-power-of-two"); - StreamCompaction::Efficient::scan(NPOT, c, a); - printElapsedTime(StreamCompaction::Efficient::timer().getGpuElapsedTimeForPreviousOperation()); - //printArray(NPOT, c, true); - printCmpResult(NPOT, b, c); + zeroArray(SIZE, c); + printDesc("work-efficient scan, non-power-of-two"); + StreamCompaction::Efficient::scan(NPOT, c, a); + printElapsedTime(StreamCompaction::Efficient::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); + //printArray(NPOT, c, true); + printCmpResult(NPOT, b, c); - zeroArray(SIZE, c); - //printDesc("thrust scan, power-of-two"); - StreamCompaction::Thrust::scan(SIZE, c, a); - printElapsedTime(StreamCompaction::Thrust::timer().getGpuElapsedTimeForPreviousOperation()); - //printArray(SIZE, c, true); - printCmpResult(SIZE, b, c); + zeroArray(SIZE, c); + printDesc("thrust scan, power-of-two"); + StreamCompaction::Thrust::scan(SIZE, c, a); + printElapsedTime(StreamCompaction::Thrust::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); + //printArray(SIZE, c, true); + printCmpResult(SIZE, b, c); - zeroArray(SIZE, c); - //printDesc("thrust scan, non-power-of-two"); - StreamCompaction::Thrust::scan(NPOT, c, a); - printElapsedTime(StreamCompaction::Thrust::timer().getGpuElapsedTimeForPreviousOperation()); - //printArray(NPOT, c, true); - printCmpResult(NPOT, b, c); + zeroArray(SIZE, c); + printDesc("thrust scan, non-power-of-two"); + StreamCompaction::Thrust::scan(NPOT, c, a); + printElapsedTime(StreamCompaction::Thrust::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); + //printArray(NPOT, c, true); + printCmpResult(NPOT, b, c); - printf("\n"); - //printf("*****************************\n"); - //printf("** STREAM COMPACTION TESTS **\n"); - //printf("*****************************\n"); + printf("\n"); + printf("*****************************\n"); + printf("** STREAM COMPACTION TESTS **\n"); + printf("*****************************\n"); - // Compaction tests + // Compaction tests - genArray(SIZE - 1, a, 4); // Leave a 0 at the end to test that edge case - a[SIZE - 1] = 0; - //printArray(SIZE, a, true); + genArray(SIZE - 1, a, 4); // Leave a 0 at the end to test that edge case + a[SIZE - 1] = 0; + printArray(SIZE, a, true); - int count, expectedCount, expectedNPOT; + int count, expectedCount, expectedNPOT; - // initialize b using StreamCompaction::CPU::compactWithoutScan you implement - // We use b for further comparison. Make sure your StreamCompaction::CPU::compactWithoutScan is correct. - zeroArray(SIZE, b); - //printDesc("cpu compact without scan, power-of-two"); - count = StreamCompaction::CPU::compactWithoutScan(SIZE, b, a); - printElapsedTime(StreamCompaction::CPU::timer().getCpuElapsedTimeForPreviousOperation()); - expectedCount = count; - //printArray(count, b, true); - printCmpLenResult(count, expectedCount, b, b); + // initialize b using StreamCompaction::CPU::compactWithoutScan you implement + // We use b for further comparison. Make sure your StreamCompaction::CPU::compactWithoutScan is correct. + zeroArray(SIZE, b); + printDesc("cpu compact without scan, power-of-two"); + count = StreamCompaction::CPU::compactWithoutScan(SIZE, b, a); + printElapsedTime(StreamCompaction::CPU::timer().getCpuElapsedTimeForPreviousOperation(), "(std::chrono Measured)"); + expectedCount = count; + printArray(count, b, true); + printCmpLenResult(count, expectedCount, b, b); - zeroArray(SIZE, c); - //printDesc("cpu compact without scan, non-power-of-two"); - count = StreamCompaction::CPU::compactWithoutScan(NPOT, c, a); - printElapsedTime(StreamCompaction::CPU::timer().getCpuElapsedTimeForPreviousOperation()); - expectedNPOT = count; - //printArray(count, c, true); - printCmpLenResult(count, expectedNPOT, b, c); + zeroArray(SIZE, c); + printDesc("cpu compact without scan, non-power-of-two"); + count = StreamCompaction::CPU::compactWithoutScan(NPOT, c, a); + printElapsedTime(StreamCompaction::CPU::timer().getCpuElapsedTimeForPreviousOperation(), "(std::chrono Measured)"); + expectedNPOT = count; + printArray(count, c, true); + printCmpLenResult(count, expectedNPOT, b, c); - zeroArray(SIZE, c); - //printDesc("cpu compact with scan"); - count = StreamCompaction::CPU::compactWithScan(SIZE, c, a); - printElapsedTime(StreamCompaction::CPU::timer().getCpuElapsedTimeForPreviousOperation()); - //printArray(count, c, true); - printCmpLenResult(count, expectedCount, b, c); + zeroArray(SIZE, c); + printDesc("cpu compact with scan"); + count = StreamCompaction::CPU::compactWithScan(SIZE, c, a); + printElapsedTime(StreamCompaction::CPU::timer().getCpuElapsedTimeForPreviousOperation(), "(std::chrono Measured)"); + printArray(count, c, true); + printCmpLenResult(count, expectedCount, b, c); - zeroArray(SIZE, c); - //printDesc("work-efficient compact, power-of-two"); - count = StreamCompaction::Efficient::compact(SIZE, c, a); - printElapsedTime(StreamCompaction::Efficient::timer().getGpuElapsedTimeForPreviousOperation()); - //printArray(count, c, true); - printCmpLenResult(count, expectedCount, b, c); + zeroArray(SIZE, c); + printDesc("work-efficient compact, power-of-two"); + count = StreamCompaction::Efficient::compact(SIZE, c, a); + printElapsedTime(StreamCompaction::Efficient::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); + printArray(count, c, true); + printCmpLenResult(count, expectedCount, b, c); - zeroArray(SIZE, c); - //printDesc("work-efficient compact, non-power-of-two"); - count = StreamCompaction::Efficient::compact(NPOT, c, a); - printElapsedTime(StreamCompaction::Efficient::timer().getGpuElapsedTimeForPreviousOperation()); - //printArray(count, c, true); - printCmpLenResult(count, expectedNPOT, b, c); + zeroArray(SIZE, c); + printDesc("work-efficient compact, non-power-of-two"); + count = StreamCompaction::Efficient::compact(NPOT, c, a); + printElapsedTime(StreamCompaction::Efficient::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); + printArray(count, c, true); + printCmpLenResult(count, expectedNPOT, b, c); - std::this_thread::sleep_for(std::chrono::milliseconds(1000)); - delete[] a; - delete[] b; - delete[] c; - //system("pause"); // stop Win32 console from closing on exit + system("pause"); // stop Win32 console from closing on exit + delete[] a; + delete[] b; + delete[] c; } + +//#include +//#include +//#include +//#include +//#include +//#include "testing_helpers.hpp" +//#include +//#include + +//const int TWO_POW = 20; +//int SHOW = 1; +////Testing +//int main(int argc, char* argv[]) { +// if (SHOW != 1) { +// FILE* f = freopen("timings.txt", "a", stdout); +// } +// const int SIZE = 1 << TWO_POW; // feel free to change the size of array +// const int NPOT = SIZE - 3; // Non-Power-Of-Two +// int* a = new int[SIZE]; +// int* b = new int[SIZE]; +// int* c = new int[SIZE]; +// // Scan tests +// +// //printf("\n"); +// //printf("****************\n"); +// printf("** SCAN TESTS **\n"); +// //printf("****************\n"); +// +// std::cout << "SIZE= " << SIZE; +// //for (int i = 1; i < 10; i++) { +// printf("\n"); +// //std::cout << "RUN#" << i << std::endl; +// +// genArray(SIZE - 1, a, 50); // Leave a 0 at the end to test that edge case +// a[SIZE - 1] = 0; +// //printArray(SIZE, a, true); +// +// // initialize b using StreamCompaction::CPU::scan you implement +// // We use b for further comparison. Make sure your StreamCompaction::CPU::scan is correct. +// // At first all cases passed because b && c are all zeroes. +// zeroArray(SIZE, b); +// //printDesc("cpu scan, power-of-two"); +// StreamCompaction::CPU::scan(SIZE, b, a); +// printElapsedTime(StreamCompaction::CPU::timer().getCpuElapsedTimeForPreviousOperation()); +// //printArray(SIZE, b, true); +// +// zeroArray(SIZE, c); +// //printDesc("cpu scan, non-power-of-two"); +// StreamCompaction::CPU::scan(NPOT, c, a); +// printElapsedTime(StreamCompaction::CPU::timer().getCpuElapsedTimeForPreviousOperation()); +// //printArray(NPOT, c, true); +// printCmpResult(NPOT, b, c); +// +// zeroArray(SIZE, c); +// //printDesc("naive scan, power-of-two"); +// StreamCompaction::Naive::scan(SIZE, c, a); +// printElapsedTime(StreamCompaction::Naive::timer().getGpuElapsedTimeForPreviousOperation()); +// //printArray(SIZE, c, true); +// printCmpResult(SIZE, b, c); +// +// /* For bug-finding only: Array of 1s to help find bugs in stream compaction or scan +// onesArray(SIZE, c); +// printDesc("1s array for finding bugs"); +// StreamCompaction::Naive::scan(SIZE, c, a); +// printArray(SIZE, c, true); */ +// +// zeroArray(SIZE, c); +// //printDesc("naive scan, non-power-of-two"); +// StreamCompaction::Naive::scan(NPOT, c, a); +// printElapsedTime(StreamCompaction::Naive::timer().getGpuElapsedTimeForPreviousOperation()); +// //printArray(SIZE, c, true); +// printCmpResult(NPOT, b, c); +// +// zeroArray(SIZE, c); +// //printDesc("work-efficient scan, power-of-two"); +// StreamCompaction::Efficient::scan(SIZE, c, a); +// printElapsedTime(StreamCompaction::Efficient::timer().getGpuElapsedTimeForPreviousOperation()); +// //printArray(SIZE, c, true); +// printCmpResult(SIZE, b, c); +// +// zeroArray(SIZE, c); +// //printDesc("work-efficient scan, non-power-of-two"); +// StreamCompaction::Efficient::scan(NPOT, c, a); +// printElapsedTime(StreamCompaction::Efficient::timer().getGpuElapsedTimeForPreviousOperation()); +// //printArray(NPOT, c, true); +// printCmpResult(NPOT, b, c); +// +// zeroArray(SIZE, c); +// //printDesc("thrust scan, power-of-two"); +// StreamCompaction::Thrust::scan(SIZE, c, a); +// printElapsedTime(StreamCompaction::Thrust::timer().getGpuElapsedTimeForPreviousOperation()); +// //printArray(SIZE, c, true); +// printCmpResult(SIZE, b, c); +// +// zeroArray(SIZE, c); +// //printDesc("thrust scan, non-power-of-two"); +// StreamCompaction::Thrust::scan(NPOT, c, a); +// printElapsedTime(StreamCompaction::Thrust::timer().getGpuElapsedTimeForPreviousOperation()); +// //printArray(NPOT, c, true); +// printCmpResult(NPOT, b, c); +// +// printf("\n"); +// //printf("*****************************\n"); +// //printf("** STREAM COMPACTION TESTS **\n"); +// //printf("*****************************\n"); +// +// // Compaction tests +// +// genArray(SIZE - 1, a, 4); // Leave a 0 at the end to test that edge case +// a[SIZE - 1] = 0; +// //printArray(SIZE, a, true); +// +// int count, expectedCount, expectedNPOT; +// +// // initialize b using StreamCompaction::CPU::compactWithoutScan you implement +// // We use b for further comparison. Make sure your StreamCompaction::CPU::compactWithoutScan is correct. +// zeroArray(SIZE, b); +// //printDesc("cpu compact without scan, power-of-two"); +// count = StreamCompaction::CPU::compactWithoutScan(SIZE, b, a); +// printElapsedTime(StreamCompaction::CPU::timer().getCpuElapsedTimeForPreviousOperation()); +// expectedCount = count; +// //printArray(count, b, true); +// printCmpLenResult(count, expectedCount, b, b); +// +// zeroArray(SIZE, c); +// //printDesc("cpu compact without scan, non-power-of-two"); +// count = StreamCompaction::CPU::compactWithoutScan(NPOT, c, a); +// printElapsedTime(StreamCompaction::CPU::timer().getCpuElapsedTimeForPreviousOperation()); +// expectedNPOT = count; +// //printArray(count, c, true); +// printCmpLenResult(count, expectedNPOT, b, c); +// +// zeroArray(SIZE, c); +// //printDesc("cpu compact with scan"); +// count = StreamCompaction::CPU::compactWithScan(SIZE, c, a); +// printElapsedTime(StreamCompaction::CPU::timer().getCpuElapsedTimeForPreviousOperation()); +// //printArray(count, c, true); +// printCmpLenResult(count, expectedCount, b, c); +// +// zeroArray(SIZE, c); +// //printDesc("work-efficient compact, power-of-two"); +// count = StreamCompaction::Efficient::compact(SIZE, c, a); +// printElapsedTime(StreamCompaction::Efficient::timer().getGpuElapsedTimeForPreviousOperation()); +// //printArray(count, c, true); +// printCmpLenResult(count, expectedCount, b, c); +// +// zeroArray(SIZE, c); +// //printDesc("work-efficient compact, non-power-of-two"); +// count = StreamCompaction::Efficient::compact(NPOT, c, a); +// printElapsedTime(StreamCompaction::Efficient::timer().getGpuElapsedTimeForPreviousOperation()); +// //printArray(count, c, true); +// printCmpLenResult(count, expectedNPOT, b, c); +// +// std::this_thread::sleep_for(std::chrono::milliseconds(1000)); +// delete[] a; +// delete[] b; +// delete[] c; +// //system("pause"); // stop Win32 console from closing on exit +//} diff --git a/src/testing_helpers.hpp b/src/testing_helpers.hpp index 80b233eb..f8a20c67 100644 --- a/src/testing_helpers.hpp +++ b/src/testing_helpers.hpp @@ -6,6 +6,8 @@ #include #include +int TESTING = 0; + template int cmpArrays(int n, T *a, T *b) { for (int i = 0; i < n; i++) { @@ -24,7 +26,7 @@ void printDesc(const char *desc) { template void printCmpResult(int n, T *a, T *b) { char* ans = cmpArrays(n, a, b) ? "FAIL VALUE" : "passed"; - if (ans != "passed") { + if (!TESTING || ans != "passed") { printf("%s \n", ans); } @@ -37,7 +39,7 @@ void printCmpLenResult(int n, int expN, T *a, T *b) { } char* ans = (n == -1 || n != expN) ? "FAIL COUNT" : cmpArrays(n, a, b) ? "FAIL VALUE" : "passed"; - if (ans != "passed") { + if (!TESTING || ans != "passed") { printf("%s \n", ans); } @@ -75,13 +77,13 @@ void printArray(int n, int *a, bool abridged = false) { printf("]\n"); } -//template -//void printElapsedTime(T time, std::string note = "") -//{ -// std::cout << " elapsed time: " << time << "ms " << note << std::endl; -//} template void printElapsedTime(T time, std::string note = "") { - std::cout << time << std::endl; -} \ No newline at end of file + std::cout << " elapsed time: " << time << "ms " << note << std::endl; +} +//template +//void printElapsedTime(T time, std::string note = "") +//{ +// std::cout << time << std::endl; +//} \ No newline at end of file diff --git a/stream_compaction/efficient.cu b/stream_compaction/efficient.cu index c65b9adc..73763f5b 100644 --- a/stream_compaction/efficient.cu +++ b/stream_compaction/efficient.cu @@ -147,6 +147,44 @@ namespace StreamCompaction { if (j < n) odata[j] += offset; } + void recursiveScan(int n, int* d_out, int* d_in) { + // Number of blocks and threads + int B = 2 * blockSize; + int numBlocks = (n + B - 1) / B; // ceil(n / B) + dim3 fullBlocksPerGrid(numBlocks); + int sharedMemBytes = (B + CONFLICT_FREE_OFFSET(B)) * sizeof(int); + int num_blocks_next_power_2 = 1 << ilog2ceil(numBlocks); + int*blockSums = nullptr; // Per-block Sums + + // Allocate and copy Memory + cudaMalloc((void**)&blockSums, num_blocks_next_power_2 * sizeof(int)); + checkCUDAErrorFn("cudaMalloc dev_buf_blockSums in scan failed!"); + + if (num_blocks_next_power_2 > numBlocks) { + cudaMemset(blockSums + numBlocks, 0, + (num_blocks_next_power_2 - numBlocks) * sizeof(int)); + } + + // Block-Wise Multi-Scan + Efficient::multi_scan << >> (n, B, d_out, d_in, blockSums); + checkCUDAErrorFn("multi-scan failed!"); + cudaDeviceSynchronize(); + if (numBlocks > 1) { + int* blockIncr = nullptr; // Per-block sums scan + cudaMalloc((void**)&blockIncr, num_blocks_next_power_2 * sizeof(int)); + checkCUDAErrorFn("cudaMalloc dev_buf_blockIncr in scan failed!"); + Efficient::recursiveScan (num_blocks_next_power_2, blockIncr, blockSums); + checkCUDAErrorFn("prescan of offsets failed!"); + cudaDeviceSynchronize(); + uniformAdd <<> > (n, d_out, blockIncr, B); + checkCUDAErrorFn("Uniform Add failed!"); + cudaDeviceSynchronize(); + cudaFree(blockIncr); + checkCUDAErrorFn("CudaFree blockIncr in scan failed!"); + } + cudaFree(blockSums); + checkCUDAErrorFn("CudaFree blockSums in scan failed!"); + } /** * Performs prefix-sum (aka scan) on idata, storing the result into odata. */ @@ -167,17 +205,8 @@ namespace StreamCompaction { int* dev_buf_i = nullptr; //Input buffer int* dev_buf_o = nullptr; //Output buffer - int* dev_buf_blockSums = nullptr; // Per-block Sums - int* dev_buf_blockIncr = nullptr; // Per-block sums scan - + // Multi Scan - - // Number of blocks and threads - int B = 2 * blockSize; - int numBlocks = (n + B - 1) / B; // ceil(n / B) - dim3 fullBlocksPerGrid(numBlocks); - int sharedMemBytes = (B + CONFLICT_FREE_OFFSET(B)) * sizeof(int); - // Allocate and copy Memory cudaMalloc((void**)&dev_buf_i, n * sizeof(int)); checkCUDAErrorFn("cudaMalloc dev_buf_i in scan failed!"); @@ -191,43 +220,14 @@ namespace StreamCompaction { // Inter-Block Accumulation - // Number of blocks and threads - int num_blocks_next_power_2 = 1 << ilog2ceil(numBlocks); - dim3 fullBlocksPerGrid_offsets((numBlocks + blockSize - 1) / blockSize); - int sharedMem_offsets = (num_blocks_next_power_2 + CONFLICT_FREE_OFFSET(num_blocks_next_power_2)) * sizeof(int); - int threads_offsets = num_blocks_next_power_2 / 2; - - // Allocate and copy Memory - cudaMalloc((void**)&dev_buf_blockSums, num_blocks_next_power_2 * sizeof(int)); - checkCUDAErrorFn("cudaMalloc dev_buf_blockSums in scan failed!"); - - if (num_blocks_next_power_2 > numBlocks) { - cudaMemset(dev_buf_blockSums + numBlocks, 0, - (num_blocks_next_power_2 - numBlocks) * sizeof(int)); - } - cudaMalloc((void**)&dev_buf_blockIncr, num_blocks_next_power_2 * sizeof(int)); - checkCUDAErrorFn("cudaMalloc dev_buf_blockIncr in scan failed!"); + //// Number of blocks and threads if (!is_pow_two) { cudaMemset(dev_buf_i + m, 0, (n - m) * sizeof(int)); } timer().startGpuTimer(); - - // Block-Wise Multi-Scan - Efficient::multi_scan <<>> (n, B, dev_buf_o, dev_buf_i, dev_buf_blockSums); - checkCUDAErrorFn("multi-scan failed!"); - cudaDeviceSynchronize(); - if (numBlocks > 1) { - Efficient::prescan << > > (num_blocks_next_power_2, dev_buf_blockIncr, dev_buf_blockSums); - checkCUDAErrorFn("prescan of offsets failed!"); - cudaDeviceSynchronize(); - - uniformAdd << > > (n, dev_buf_o, dev_buf_blockIncr, B); - checkCUDAErrorFn("Uniform Add failed!"); - cudaDeviceSynchronize(); - } - + Efficient::recursiveScan(n, dev_buf_o, dev_buf_i); timer().endGpuTimer(); cudaMemcpy(odata, dev_buf_o, m * sizeof(int), cudaMemcpyDeviceToHost); @@ -236,11 +236,6 @@ namespace StreamCompaction { checkCUDAErrorFn("CudaFree dev_buf_o in scan failed!"); cudaFree(dev_buf_i); checkCUDAErrorFn("CudaFree dev_buf_i in scan failed!"); - - cudaFree(dev_buf_blockSums); - checkCUDAErrorFn("CudaFree dev_buf_blockSums in scan failed!"); - cudaFree(dev_buf_blockIncr); - checkCUDAErrorFn("CudaFree dev_buf_blockIncr in scan failed!"); } /** @@ -294,38 +289,6 @@ namespace StreamCompaction { cudaMemset(dev_buf_bools + m, 0, (n - m) * sizeof(int)); // Padding zeroes to nearest power of two checkCUDAErrorFn("CudaMemset zeroes failed!"); - // Compute shared memory sizes - //dim3 fullBlocksPerGrid_scan((n + blockSize - 1) / blockSize); - //int sharedMemBytes = 2 * blockSize * sizeof(int); - - // Number of blocks and threads - int B = 2 * blockSize; - int numBlocks = (n + B - 1) / B; // ceil(n / B) - dim3 fullBlocksPerGrid_scan(numBlocks); - int sharedMemBytes_scan = (B + CONFLICT_FREE_OFFSET(B)) * sizeof(int); - - // Inter-Block Accumulation - - int* dev_buf_blockSums = nullptr; // Per-block Sums - int* dev_buf_blockIncr = nullptr; // Per-block sums scan - - // Number of blocks and threads - int num_blocks_next_power_2 = 1 << ilog2ceil(numBlocks); - dim3 fullBlocksPerGrid_offsets((numBlocks + blockSize - 1) / blockSize); - int sharedMem_offsets = (num_blocks_next_power_2 + CONFLICT_FREE_OFFSET(num_blocks_next_power_2)) * sizeof(int); - int threads_offsets = num_blocks_next_power_2 / 2; - - // Allocate and copy Memory - cudaMalloc((void**)&dev_buf_blockSums, num_blocks_next_power_2 * sizeof(int)); - checkCUDAErrorFn("cudaMalloc dev_buf_blockSums in scan failed!"); - - if (num_blocks_next_power_2 > numBlocks) { - cudaMemset(dev_buf_blockSums + numBlocks, 0, - (num_blocks_next_power_2 - numBlocks) * sizeof(int)); - } - cudaMalloc((void**)&dev_buf_blockIncr, num_blocks_next_power_2 * sizeof(int)); - checkCUDAErrorFn("cudaMalloc dev_buf_blockIncr in scan failed!"); - timer().startGpuTimer(); //------------------------------------GPU-------------------------------------- @@ -334,18 +297,7 @@ namespace StreamCompaction { cudaDeviceSynchronize(); // Scan bools to output - Efficient::multi_scan << > > (n, B, dev_buf_indices, dev_buf_bools, dev_buf_blockSums); - checkCUDAErrorFn("multi-scan failed!"); - cudaDeviceSynchronize(); - if (numBlocks > 1) { - Efficient::prescan << > > (num_blocks_next_power_2, dev_buf_blockIncr, dev_buf_blockSums); - checkCUDAErrorFn("prescan of offsets failed!"); - cudaDeviceSynchronize(); - - uniformAdd << > > (n, dev_buf_indices, dev_buf_blockIncr, B); - checkCUDAErrorFn("Uniform Add failed!"); - cudaDeviceSynchronize(); - } + Efficient::recursiveScan(n, dev_buf_indices, dev_buf_bools); // Compact now Common::kernScatter << < fullBlocksPerGrid, blockSize>>> (m, dev_buf_o, dev_buf_i, dev_buf_bools, dev_buf_indices); @@ -376,11 +328,6 @@ namespace StreamCompaction { checkCUDAErrorFn("CudaFree dev_buf_bools failed!"); cudaFree(dev_buf_o); checkCUDAErrorFn("CudaFree dev_buf_o failed!"); - - cudaFree(dev_buf_blockSums); - checkCUDAErrorFn("CudaFree dev_buf_blockSums in scan failed!"); - cudaFree(dev_buf_blockIncr); - checkCUDAErrorFn("CudaFree dev_buf_blockIncr in scan failed!"); return count; } } From b5564344530e5eab2c3a74577c8abd1f2e1bcc3e Mon Sep 17 00:00:00 2001 From: vismaychuriwala Date: Tue, 16 Sep 2025 23:48:04 -0400 Subject: [PATCH 10/15] Adding readme and analysis --- README.md | 50 +- plots/blocksize_avg.png | Bin 0 -> 73240 bytes plots/code/plot_blocksize_avg.py | 99 + plots/code/plotting.py | 492 +++ plots/data/blockSize_timings.txt | 192 ++ plots/data/timings.txt | 3776 +++++++++++++++++++++++ plots/data/timings_all_runs_long.csv | 2731 ++++++++++++++++ plots/data/timings_avg.csv | 274 ++ plots/timings_plot_both.png | Bin 0 -> 233103 bytes plots/timings_plot_both_loglog.png | Bin 0 -> 310502 bytes plots/timings_plot_both_loglog_full.png | Bin 0 -> 360275 bytes plots/timings_plot_incorrect.png | Bin 0 -> 217383 bytes plots/timings_plot_nonpow2.png | Bin 0 -> 179999 bytes plots/timings_plot_nonpow2_loglog.png | Bin 0 -> 230033 bytes plots/timings_plot_pow2.png | Bin 0 -> 209599 bytes plots/timings_plot_pow2_loglog.png | Bin 0 -> 285253 bytes 16 files changed, 7605 insertions(+), 9 deletions(-) create mode 100644 plots/blocksize_avg.png create mode 100644 plots/code/plot_blocksize_avg.py create mode 100644 plots/code/plotting.py create mode 100644 plots/data/blockSize_timings.txt create mode 100644 plots/data/timings.txt create mode 100644 plots/data/timings_all_runs_long.csv create mode 100644 plots/data/timings_avg.csv create mode 100644 plots/timings_plot_both.png create mode 100644 plots/timings_plot_both_loglog.png create mode 100644 plots/timings_plot_both_loglog_full.png create mode 100644 plots/timings_plot_incorrect.png create mode 100644 plots/timings_plot_nonpow2.png create mode 100644 plots/timings_plot_nonpow2_loglog.png create mode 100644 plots/timings_plot_pow2.png create mode 100644 plots/timings_plot_pow2_loglog.png diff --git a/README.md b/README.md index 0e38ddb1..302e5b98 100644 --- a/README.md +++ b/README.md @@ -1,14 +1,46 @@ -CUDA Stream Compaction -====================== +# CUDA Stream Compression +* Hi! I am Vismay Churiwala, here are my socials: + * [LinkedIn](https://www.linkedin.com/in/vismay-churiwala-8b0073190/) | [Website](https://vismaychuriwala.com/) +* **System Specs (My Machine):** + * OS: Windows 11 + * CPU: AMD Ryzen 7 5800H with Radeon Graphics (8C/16T, 3.2GHz base) + * RAM: 32GB DDR4 + * GPU: NVIDIA GeForce RTX 3060 Laptop GPU (6GB GDDR6) + * CUDA Toolkit: 13.0 + * Driver Version: 581.15 -**University of Pennsylvania, CIS 565: GPU Programming and Architecture, Project 2** +--- +This is a CUDA-powered parallel implementation of Stream Compression. Stream Compression is a method of reducing large arrays of numbers, including only non-zero values. This seems to be a fairly straightforward problem that can be coded sequentially in a couple of minutes, but as we will see, this is extremely slow on the CPU for large arrays and using a GPU to parallelize this process can be orders of magnitude faster. -* (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) +Here are some cool features I have implemented: +* Using Shared Memory for Efficient Memory Access on the GPU (as opposed to using Global Memory, which is > 100x slower \[ [see more here](https://www.ce.jhu.edu/dalrymple/classes/602/Class13.pdf)\]). +* Hardware Optimization via [Bank-Conflict](https://forums.developer.nvidia.com/t/how-to-understand-the-bank-conflict-of-shared-mem/260900) prevention. +* Recursive scanning to scan arrays of arbitrary sizes (tested up to 1B elements (2^ 30) which took 3470.59 ms). +* Naive and CPU-based implementations to compare and benchmark techniques. +* Customized testing code to collect, average and plot GPU and CPU timings. -### (TODO: Your README) +## CUDA Scan + Stream Compaction +Scan is a prefix-sum. I used the work‑efficient Blelloch scan (upsweep/downsweep) on the GPU so the total work stays O(n) and the depth is O(log n). Each block scans its chunk in shared memory, I used strided indexing to dodge bank conflicts, and I kept the loads/stores coalesced. For big inputs, the input is split into chunks, and assigned to blocks. The blocks write their partial sums, I scan those recursively (So that the partial sums which cannot be fit into a single block can be scanned using multiple blocks again), and then add the offsets back (uniform add) so it scales to arbitrary sizes and NPOTs. -Include analysis, etc. (Remember, this is public, so don't put -anything here that you don't want to share with the world.) +Stream compaction rides on top of scan. First I build a bools array (0/1 flag per element, i.e., keep if value != 0). Then I exclusive‑scan the flags to get output indices, and scatter only the keepers. That makes the compaction stable and very GPU‑friendly. I include a naive version, a work‑efficient version, and a CPU baseline so you can sanity‑check correctness and see the speedups on both power‑of‑two and non‑power‑of‑two sizes. +## Performance Analysis +I benchmarked each method across a range of sizes (both power‑of‑two and NPOT), averaged over 10 runs. The work‑efficient GPU scan/compaction wins big, especially as input grows; non-power-of-two handling adds minor overhead but stays close. + +Comparing scan and stream compaction for sizes ranging from 260K elements 260M elements: + +### Time vs Log(Size) +![Timings (Both)](plots/timings_plot_both.png) + +Here we can see how the timings for Naive GPU method and CPU method are both increasing much faster than the Work-Efficient versions. This is true for both powers of two sizes and non-powers of two sizes (Recall that we pad the non-powers of two sizes to the next power of two). Below we highlight the differences in the timings more clearly by plotting the log-log over an extended range of sizes. Note that the CPU implementation is not the serial version of the Naive scan, I have tried to implement the fastest serial scan and compaction I can to have a good baseline. + +### Log(Time) vs Log(Size) + We plot a log-log plot to get a better idea of the differences below. This includes the whole range of values starting at 256 elements and going all the way to 256M values. Notice how the CPU version is faster until we have arrays big enough to take advantage of the parallelization overhead. Also, note how hardware optimization makes the Efficient scan much faster than the naive version. If I were to use global memory, I suspect my scan and compaction would have been a lot slower (closer to Naive scan). +![Timings (POW2, log‑log)](plots/timings_plot_both_loglog_full.png) + +You can find the raw images and variants in `plots/` if you want the linear‑scale or separate power of two and non-power of two versions. + +### Optimizing BlockSize +I ran the Efficient Compaction for multiple Block Sizes to get the best blockSize for my implementation. Here are the timings for 33M elements (2 ^ 25), and averaged them over 10 runs. +![Timings (blockSizes)](plots/blocksize_avg.png) +A blockSize of 128 seems to be a good choice to use in my implementation of Efficient::compact. \ No newline at end of file diff --git a/plots/blocksize_avg.png b/plots/blocksize_avg.png new file mode 100644 index 0000000000000000000000000000000000000000..657b2a483b44fc593e0576e0345226d9bc726559 GIT binary patch literal 73240 zcmeFZi9eO=+cvI2gXRI7id~s9Hjof1sSuf$S*Bzb%WR?AX-87VGS4$BGF#?Q=4n}G zBJ(_~W#)I@)c$U@-_P&;174r!`8@51b+7Bbu5&of<2cXjm9*5|Llm?WWMpKA#O~de zB_kuZB_rGQ=e|Ag|M{?o!XN$*KU!1?Eob%!ZKGwOM<%I-Ha9jy8yjfE%~{)O#b-`PBROAuEeAlrSO#f=J%8>$;jwRkpJCbT5lypwu6jJ z?DkE0+o16-JIDJA>lHH#x@Y%2Q}W(-jzvKn%d2^aiJ9nHmJS^;nCWh#1 znom>=w&}JrY>ayK?D=zrEK~Ii<2G5$3JK4V)fo{l7t1On)Q!$D|MIQ$r2_iJYJFCG0C{O4jM)B~Co^oYnrL3Z&pY>#CeA_4eu~*C? z^{32m;i)5)DPHRNM6}qarIs*K{$ImYYpNKMAo*(gwx};M+Jccby z85IAP{^5!~tAId9fu^){*b$+{8=k`J*~JO)MZFS_r+1P`i_DMWCGs5>NVIJ1?DCHu 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z1li9v`|#_|pt*g}0%h?!<>b%}FB~y!@bmkSZ^MPXZfI%5({JO%TQTiZ@PDdTsr2yofi899;9 dzw<3tjk0d1hQIRSrB}(5G7qr#H|;x~^#`R@=4}7~ literal 0 HcmV?d00001 diff --git a/plots/code/plot_blocksize_avg.py b/plots/code/plot_blocksize_avg.py new file mode 100644 index 00000000..579a47e6 --- /dev/null +++ b/plots/code/plot_blocksize_avg.py @@ -0,0 +1,99 @@ +#!/usr/bin/env python3 +import argparse +from collections import defaultdict +import math +import sys + +import matplotlib +matplotlib.use("Agg") # Ensure non-interactive backend for headless runs +import matplotlib.pyplot as plt + + +def parse_timings(path: str) -> dict[int, list[float]]: + data: dict[int, list[float]] = defaultdict(list) + try: + with open(path, "r", encoding="utf-8") as f: + lines = [ln.strip() for ln in f if ln.strip()] + except FileNotFoundError: + print(f"Input file not found: {path}", file=sys.stderr) + sys.exit(1) + + i = 0 + while i < len(lines): + line = lines[i] + if line.startswith("blockSize"): + # Expect format like: "blockSize= 32" + try: + _, rhs = line.split("=", 1) + block = int(rhs.strip()) + except Exception: + i += 1 + continue + # Next non-empty line should be the timing + if i + 1 < len(lines): + try: + t = float(lines[i + 1]) + data[block].append(t) + except Exception: + pass + i += 2 + continue + i += 1 + + if not data: + print("No timings parsed. Please check input format.", file=sys.stderr) + sys.exit(1) + return data + + +def compute_averages(data: dict[int, list[float]]): + blocks = sorted(data.keys()) + avgs = [sum(data[b]) / len(data[b]) for b in blocks] + return blocks, avgs + + +def plot(blocks, avgs, output_path: str | None): + fig, ax = plt.subplots(figsize=(7, 4)) + ax.plot(blocks, avgs, marker="o", linestyle="-", color="#1f77b4") + ax.set_xlabel("Block Size") + ax.set_ylabel("Average Time (ms)") + ax.set_title("Block Size vs Average Timing") + # Use logarithmic scale for block size (base 2 preferred) + try: + ax.set_xscale("log", base=2) + except TypeError: + # Older Matplotlib versions use 'basex' + ax.set_xscale("log", basex=2) + ax.grid(True, which="both", linestyle=":", linewidth=0.6, alpha=0.7) + ax.set_xticks(blocks) + ax.get_xaxis().set_major_formatter(matplotlib.ticker.ScalarFormatter()) + ax.get_xaxis().set_minor_formatter(matplotlib.ticker.NullFormatter()) + plt.tight_layout() + if output_path: + plt.savefig(output_path, dpi=200) + else: + # Default filename + plt.savefig("blocksize_avg.png", dpi=200) + + +def main(): + parser = argparse.ArgumentParser(description="Plot block size vs average timings (log-scaled x-axis).") + parser.add_argument("--input", "-i", default="blockSize_timings.txt", help="Path to timings input file.") + parser.add_argument("--output", "-o", default="blocksize_avg.png", help="Output PNG path for the plot.") + args = parser.parse_args() + + data = parse_timings(args.input) + blocks, avgs = compute_averages(data) + + # Print summary to stdout + print("Averages (blockSize -> avg time):") + for b, a in zip(blocks, avgs): + print(f"{b} -> {a:.5f}") + + plot(blocks, avgs, args.output) + print(f"Saved plot to: {args.output}") + + +if __name__ == "__main__": + main() + diff --git a/plots/code/plotting.py b/plots/code/plotting.py new file mode 100644 index 00000000..e18a978a --- /dev/null +++ b/plots/code/plotting.py @@ -0,0 +1,492 @@ +import re +from pathlib import Path +from typing import List, Dict, Any, Tuple + +import pandas as pd +import matplotlib.pyplot as plt +from matplotlib.ticker import FuncFormatter, LogLocator, FixedLocator, LogFormatterMathtext + +# Configuration +INPUT_PATH = Path("../data/timings.txt") +OUTPUT_ALL_RUNS_CSV = Path("../data/timings_all_runs_long.csv") +OUTPUT_AVG_CSV = Path("../data/timings_avg.csv") +OUTPUT_PLOT = Path("../data/timings_plot.png") +OUTPUT_PLOT_POW2 = Path("../timings_plot_pow2.png") +OUTPUT_PLOT_NONPOW2 = Path("../timings_plot_nonpow2.png") +OUTPUT_PLOT_BOTH = Path("../timings_plot_both.png") +OUTPUT_PLOT_BOTH_LOG = Path("../timings_plot_both_loglog.png") +OUTPUT_PLOT_POW2_LOG = Path("../timings_plot_pow2_loglog.png") +OUTPUT_PLOT_NONPOW2_LOG = Path("../timings_plot_nonpow2_loglog.png") +OUTPUT_PLOT_BOTH_LOG_FULL = Path("../timings_plot_both_loglog_full.png") + +# If your numbers are in seconds (very likely), set this to True to convert +# to milliseconds for plotting convenience. +CONVERT_TO_MS = True +Y_LABEL = "Time (ms)" if CONVERT_TO_MS else "Time (s)" +MIN_PLOT_SIZE = 2 ** 18 # start plots from 2^18 + +# Limit how many runs per size to include in outputs/plots +MAX_RUNS_PER_SIZE = 10 + +# Expected order in the file (exactly 13 numbers per block): +SCAN_METHODS = [ + "scan_cpu_pow2", + "scan_cpu_non_pow2", + "scan_naive_pow2", + "scan_naive_non_pow2", + "scan_work_efficient_pow2", + "scan_work_efficient_non_pow2", + "scan_thrust_pow2", + "scan_thrust_non_pow2", +] +COMPACT_METHODS = [ + "compact_cpu_without_scan_pow2", + "compact_cpu_without_scan_non_pow2", + "compact_cpu_with_scan", + "compact_work_efficient_pow2", + "compact_work_efficient_non_pow2", +] +N_SCAN = len(SCAN_METHODS) +N_COMPACT = len(COMPACT_METHODS) +N_PER_RUN = N_SCAN + N_COMPACT + +# Plot style for better readability +try: + plt.style.use("seaborn-whitegrid") +except Exception: + pass + + +def _is_float_token(tok: str) -> bool: + return bool( + re.match( + r"^[+-]?(?:\d+(?:\.\d*)?|\.\d+)(?:[eE][+-]?\d+)?$", + tok.strip(), + ) + ) + + +def parse_timings( + path: Path, + max_runs_per_size: int = MAX_RUNS_PER_SIZE, +) -> Tuple[pd.DataFrame, Dict[int, int], Dict[int, int]]: + """ + Parse timings in the simplified format present in timings.txt: + Optional header lines (e.g., "** SCAN TESTS **") + SIZE= + <8 scan times> (possibly one per line; blanks ignored) + <5 compaction times> (possibly one per line; blanks ignored) + ... repeated blocks for more runs and/or sizes + + Notes: + - There are no explicit RUN lines. We infer run numbers per size + by counting consecutive blocks encountered for that size. + + Returns: + - DataFrame (long format) with columns: size, run, suite, method, time_s + - encountered_counts: dict[size] -> total blocks encountered for that size + - used_counts: dict[size] -> blocks included (capped at max_runs_per_size) + """ + lines = [ln.strip() for ln in path.read_text().splitlines()] + + records: List[Dict[str, Any]] = [] + i = 0 + # Track how many blocks (runs) we've seen per size + encountered_counts: Dict[int, int] = {} + used_counts: Dict[int, int] = {} + + while i < len(lines): + line = lines[i] + if not line or line.startswith("**"): + i += 1 + continue + + # Parse a SIZE block + if line.upper().startswith("SIZE"): + m = re.search(r"SIZE\s*=\s*(\d+)", line, flags=re.IGNORECASE) + if not m: + raise ValueError(f"Bad SIZE line: {line}") + size = int(m.group(1)) + + # Gather the next N_PER_RUN float values (ignore blanks and headers) + times: List[float] = [] + i += 1 + while i < len(lines) and len(times) < N_PER_RUN: + ln = lines[i].strip() + if ln and not ln.upper().startswith("SIZE") and not ln.startswith("**"): + for tok in ln.replace(",", " ").split(): + if _is_float_token(tok): + times.append(float(tok)) + if len(times) >= N_PER_RUN: + break + i += 1 + + if len(times) != N_PER_RUN: + raise ValueError( + f"Expected {N_PER_RUN} times for size {size}, got {len(times)}" + ) + + # Count this block for the size + encountered_counts[size] = encountered_counts.get(size, 0) + 1 + + # Include only the first `max_runs_per_size` blocks per size + if encountered_counts[size] <= max_runs_per_size: + used_counts[size] = used_counts.get(size, 0) + 1 + run_no = used_counts[size] + + # Emit records for scan + for idx, t in enumerate(times[:N_SCAN]): + records.append( + { + "size": size, + "run": run_no, + "suite": "scan", + "method": SCAN_METHODS[idx], + "time_s": t, + } + ) + + # Emit records for compaction + for jdx, t in enumerate(times[N_SCAN:]): + records.append( + { + "size": size, + "run": run_no, + "suite": "compact", + "method": COMPACT_METHODS[jdx], + "time_s": t, + } + ) + continue + + # Skip any other lines + i += 1 + + df = pd.DataFrame.from_records(records) + return df, encountered_counts, used_counts + + +def average_across_runs(df: pd.DataFrame) -> pd.DataFrame: + avg = ( + df.groupby(["size", "suite", "method"], as_index=False)["time_s"] + .mean() + ) + return avg + + +def _is_pow2(x: int) -> bool: + return x > 0 and (x & (x - 1)) == 0 + + +def _format_size_ticks(sizes): + # Kept for compatibility; not used when using log10 axis with automatic ticks + return [f"{s:,}" for s in sizes] + + +def plot_by_suite( + avg_df: pd.DataFrame, + out_path: Path, + to_ms: bool = True, + runs_cap: int | None = None, + log_x: bool = True, + log_y: bool = False, + method_subset: str = "all", # one of: 'all', 'pow2', 'nonpow2' + min_size: int | None = MIN_PLOT_SIZE, +) -> None: + # Helper: map internal method keys to plain-English legend labels + def label_for_method(method: str, suite: str, subset: str) -> str: + # Determine base label by method family + base = method + if suite == "scan": + if method.startswith("scan_cpu"): + base = "CPU" + elif method.startswith("scan_naive"): + base = "Naive GPU" + elif method.startswith("scan_work_efficient"): + base = "Work-efficient GPU" + elif method.startswith("scan_thrust"): + base = "Thrust" + # Append operation for clarity + base = f"{base} scan" + else: # compact + if method == "compact_cpu_with_scan": + base = "CPU (with scan)" + elif method.startswith("compact_cpu_without_scan"): + base = "CPU (no scan)" + elif method.startswith("compact_work_efficient"): + base = "Work-efficient GPU" + else: + base = method.replace("_", " ") + base = f"{base}" + + # Determine suffix only when plotting both pow2 and nonpow2 + if subset == "all": + # Important: check the non-power-of-two suffix first because + # strings like "non_pow2" also end with "_pow2". + if method.endswith("_non_pow2"): + return f"{base} (non-power-of-two)" + if method.endswith("_pow2"): + return f"{base} (power-of-two)" + # In pow2-only or nonpow2-only plots, suffix is redundant + return base + + # Prepare values + plot_df = avg_df.copy() + if to_ms: + plot_df["time_val"] = plot_df["time_s"] * 1000.0 + else: + plot_df["time_val"] = plot_df["time_s"] + + # Optional filter on minimum size for plotting + if min_size is not None: + plot_df = plot_df[plot_df["size"] >= min_size] + + # Use all sizes; split by method family (pow2/nonpow2) + sizes = sorted(plot_df["size"].unique()) + + # Keep method ordering consistent with the lists above + def select_methods(all_methods: List[str]) -> List[str]: + if method_subset == "pow2": + sel = [m for m in all_methods if m.endswith("_pow2")] + # Include methods without explicit suffix (apply to both) + sel += [m for m in all_methods if ("_pow2" not in m and "_non_pow2" not in m)] + return [m for m in all_methods if m in sel] + elif method_subset == "nonpow2": + sel = [m for m in all_methods if m.endswith("_non_pow2")] + sel += [m for m in all_methods if ("_pow2" not in m and "_non_pow2" not in m)] + return [m for m in all_methods if m in sel] + else: + return all_methods + + scan_methods = select_methods(SCAN_METHODS) + compact_methods = select_methods(COMPACT_METHODS) + + fig, axes = plt.subplots(nrows=1, ncols=2, figsize=(13, 5.5), dpi=180) + plt.tight_layout(pad=2.0) + + # Scan subplot + ax = axes[0] + scan_df = plot_df[plot_df["suite"] == "scan"] + for m in scan_methods: + y = [] + for s in sizes: + row = scan_df[(scan_df["size"] == s) & (scan_df["method"] == m)] + y.append(row["time_val"].iloc[0] if not row.empty else float("nan")) + ax.plot( + sizes, + y, + marker="o", + linewidth=2.0, + markersize=4, + label=label_for_method(m, "scan", method_subset), + ) + ax.set_title("Scan") + ax.set_xlabel("Array Size") + ax.set_ylabel(Y_LABEL + (" (log)" if log_y else "")) + if log_x: + try: + ax.set_xscale("log", base=10) + except TypeError: + ax.set_xscale("log") + if log_y: + try: + ax.set_yscale("log", base=10) + except TypeError: + ax.set_yscale("log") + # Prefer 10** major ticks for x; don't label every point + if log_x: + ax.xaxis.set_major_locator(LogLocator(base=10.0)) + ax.xaxis.set_major_formatter(LogFormatterMathtext(base=10.0)) + # Thousands separators for y values (linear) + if not log_y: + ax.yaxis.set_major_formatter(FuncFormatter(lambda v, _: f"{v:,.0f}")) + if log_y: + ax.yaxis.set_major_locator(LogLocator(base=10.0)) + ax.yaxis.set_major_formatter(LogFormatterMathtext(base=10.0)) + if min_size is not None and len(sizes) > 0: + ax.set_xlim(left=min_size) + ax.legend(fontsize=8, ncol=2, loc="upper left", bbox_to_anchor=(0, 1.02)) + ax.grid(True, which="both", linestyle="--", alpha=0.4) + + # Compaction subplot + ax = axes[1] + comp_df = plot_df[plot_df["suite"] == "compact"] + for m in compact_methods: + y = [] + for s in sizes: + row = comp_df[(comp_df["size"] == s) & (comp_df["method"] == m)] + y.append(row["time_val"].iloc[0] if not row.empty else float("nan")) + ax.plot( + sizes, + y, + marker="o", + linewidth=2.0, + markersize=4, + label=label_for_method(m, "compact", method_subset), + ) + ax.set_title("Stream compaction") + ax.set_xlabel("Array Size") + ax.set_ylabel(Y_LABEL + (" (log)" if log_y else "")) + if log_x: + try: + ax.set_xscale("log", base=10) + except TypeError: + ax.set_xscale("log") + if log_y: + try: + ax.set_yscale("log", base=10) + except TypeError: + ax.set_yscale("log") + if log_x: + ax.xaxis.set_major_locator(LogLocator(base=10.0)) + ax.xaxis.set_major_formatter(LogFormatterMathtext(base=10.0)) + if not log_y: + ax.yaxis.set_major_formatter(FuncFormatter(lambda v, _: f"{v:,.0f}")) + if log_y: + ax.yaxis.set_major_locator(LogLocator(base=10.0)) + ax.yaxis.set_major_formatter(LogFormatterMathtext(base=10.0)) + if min_size is not None and len(sizes) > 0: + ax.set_xlim(left=min_size) + ax.legend(fontsize=8, ncol=2, loc="upper left", bbox_to_anchor=(0, 1.02)) + ax.grid(True, which="both", linestyle="--", alpha=0.4) + + subset_note = { + "all": "All sizes", + "pow2": "Power-of-two sizes", + "nonpow2": "Non-power-of-two sizes", + }.get(method_subset, "All sizes") + y_unit = "ms" if to_ms else "s" + if log_x and log_y: + scale_note = " [log-x, log-y]" + elif log_x: + scale_note = " [log-x]" + elif log_y: + scale_note = " [log-y]" + else: + scale_note = "" + # English title with clarity about metric + # Example: "Average time (lower is better) — Power-of-two sizes [log-x]" + fig.suptitle( + f"Average time (lower is better) — {subset_note}{scale_note}\n" + f"{runs_cap} runs", + fontsize=12, + ) + fig.tight_layout() + fig.savefig(out_path, bbox_inches="tight") + plt.close(fig) + + +def main() -> None: + if not INPUT_PATH.exists(): + raise SystemExit( + f"Input file not found: {INPUT_PATH.resolve()}" + ) + + df, encountered_counts, used_counts = parse_timings(INPUT_PATH) + # Save all runs (long format) + df_out = df.copy() + df_out["time_ms"] = df_out["time_s"] * 1000.0 + df_out.to_csv(OUTPUT_ALL_RUNS_CSV, index=False) + + # Average across runs + avg = average_across_runs(df) + avg_out = avg.copy() + avg_out["time_ms"] = avg_out["time_s"] * 1000.0 + avg_out.to_csv(OUTPUT_AVG_CSV, index=False) + + # Plot + # Plots: both, pow2-only, nonpow2-only + plot_by_suite( + avg, + OUTPUT_PLOT_BOTH, + to_ms=CONVERT_TO_MS, + runs_cap=MAX_RUNS_PER_SIZE, + log_x=True, + log_y=False, + method_subset="all", + min_size=MIN_PLOT_SIZE, + ) + plot_by_suite( + avg, + OUTPUT_PLOT_POW2, + to_ms=CONVERT_TO_MS, + runs_cap=MAX_RUNS_PER_SIZE, + log_x=True, + log_y=False, + method_subset="pow2", + min_size=MIN_PLOT_SIZE, + ) + plot_by_suite( + avg, + OUTPUT_PLOT_NONPOW2, + to_ms=CONVERT_TO_MS, + runs_cap=MAX_RUNS_PER_SIZE, + log_x=True, + log_y=False, + method_subset="nonpow2", + min_size=MIN_PLOT_SIZE, + ) + + # Log-Log versions (separate files) + plot_by_suite( + avg, + OUTPUT_PLOT_BOTH_LOG, + to_ms=CONVERT_TO_MS, + runs_cap=MAX_RUNS_PER_SIZE, + log_x=True, + log_y=True, + method_subset="all", + min_size=MIN_PLOT_SIZE, + ) + plot_by_suite( + avg, + OUTPUT_PLOT_POW2_LOG, + to_ms=CONVERT_TO_MS, + runs_cap=MAX_RUNS_PER_SIZE, + log_x=True, + log_y=True, + method_subset="pow2", + min_size=MIN_PLOT_SIZE, + ) + plot_by_suite( + avg, + OUTPUT_PLOT_NONPOW2_LOG, + to_ms=CONVERT_TO_MS, + runs_cap=MAX_RUNS_PER_SIZE, + log_x=True, + log_y=True, + method_subset="nonpow2", + min_size=MIN_PLOT_SIZE, + ) + + # Log-Log with full range (no min size) for both + plot_by_suite( + avg, + OUTPUT_PLOT_BOTH_LOG_FULL, + to_ms=CONVERT_TO_MS, + runs_cap=MAX_RUNS_PER_SIZE, + log_x=True, + log_y=True, + method_subset="all", + min_size=None, + ) + + print(f"Wrote: {OUTPUT_ALL_RUNS_CSV}") + print(f"Wrote: {OUTPUT_AVG_CSV}") + print(f"Wrote: {OUTPUT_PLOT_BOTH}") + print(f"Wrote: {OUTPUT_PLOT_POW2}") + print(f"Wrote: {OUTPUT_PLOT_NONPOW2}") + print(f"Wrote: {OUTPUT_PLOT_BOTH_LOG}") + print(f"Wrote: {OUTPUT_PLOT_POW2_LOG}") + print(f"Wrote: {OUTPUT_PLOT_NONPOW2_LOG}") + print(f"Wrote: {OUTPUT_PLOT_BOTH_LOG_FULL}") + # Print encountered vs used runs per size + print("Runs encountered per size:") + for size in sorted(encountered_counts.keys()): + enc = encountered_counts[size] + used = used_counts.get(size, 0) + print(f" size={size}: encountered={enc}, used={used}") + + +if __name__ == "__main__": + main() diff --git a/plots/data/blockSize_timings.txt b/plots/data/blockSize_timings.txt new file mode 100644 index 00000000..769425c0 --- /dev/null +++ b/plots/data/blockSize_timings.txt @@ -0,0 +1,192 @@ +** SCAN TESTS ** +blockSize= 32 +11.4302 +** SCAN TESTS ** +blockSize= 32 +10.533 +** SCAN TESTS ** +blockSize= 32 +10.6891 +** SCAN TESTS ** +blockSize= 32 +10.5644 +** SCAN TESTS ** +blockSize= 32 +10.7888 +** SCAN TESTS ** +blockSize= 32 +10.7962 +** SCAN TESTS ** +blockSize= 32 +10.8693 +** SCAN TESTS ** +blockSize= 32 +10.6384 +** SCAN TESTS ** +blockSize= 32 +10.6246 +** SCAN TESTS ** +blockSize= 32 +10.839 +** SCAN TESTS ** +blockSize= 64 +7.29376 +** SCAN TESTS ** +blockSize= 64 +6.92973 +** SCAN TESTS ** +blockSize= 64 +6.94682 +** SCAN TESTS ** +blockSize= 64 +6.98816 +** SCAN TESTS ** +blockSize= 64 +6.87296 +** SCAN TESTS ** +blockSize= 64 +7.09789 +** SCAN TESTS ** +blockSize= 64 +7.03043 +** SCAN TESTS ** +blockSize= 64 +7.06954 +** SCAN TESTS ** +blockSize= 64 +6.96989 +** SCAN TESTS ** +blockSize= 64 +6.85994 +** SCAN TESTS ** +blockSize= 64 +7.00032 +** SCAN TESTS ** +blockSize= 128 +5.86563 +** SCAN TESTS ** +blockSize= 128 +6.03846 +** SCAN TESTS ** +blockSize= 128 +5.90906 +** SCAN TESTS ** +blockSize= 128 +6.01888 +** SCAN TESTS ** +blockSize= 128 +5.94816 +** SCAN TESTS ** +blockSize= 128 +6.57162 +** SCAN TESTS ** +blockSize= 128 +6.43235 +** SCAN TESTS ** +blockSize= 128 +5.99184 +** SCAN TESTS ** +blockSize= 128 +5.95002 +** SCAN TESTS ** +blockSize= 128 +6.22931 +** SCAN TESTS ** +blockSize= 256 +11.7848 +** SCAN TESTS ** +blockSize= 256 +6.09424 +** SCAN TESTS ** +blockSize= 256 +5.98832 +** SCAN TESTS ** +blockSize= 256 +6.08637 +** SCAN TESTS ** +blockSize= 256 +5.91056 +** SCAN TESTS ** +blockSize= 256 +6.15024 +** SCAN TESTS ** +blockSize= 256 +6.07635 +** SCAN TESTS ** +blockSize= 256 +6.1169 +** SCAN TESTS ** +blockSize= 256 +6.13814 +** SCAN TESTS ** +blockSize= 256 +5.80851 +** SCAN TESTS ** +blockSize= 512 +6.6457 +** SCAN TESTS ** +blockSize= 512 +6.2737 +** SCAN TESTS ** +blockSize= 512 +6.38054 +** SCAN TESTS ** +blockSize= 512 +6.39696 +** SCAN TESTS ** +blockSize= 512 +6.32326 +** SCAN TESTS ** +blockSize= 512 +6.31642 +** SCAN TESTS ** +blockSize= 512 +6.36275 +** SCAN TESTS ** +blockSize= 512 +6.1615 +** SCAN TESTS ** +blockSize= 512 +6.34816 +** SCAN TESTS ** +blockSize= 512 +6.80384 +** SCAN TESTS ** +blockSize= 512 +6.45811 +** SCAN TESTS ** +blockSize= 512 +6.29962 +** SCAN TESTS ** +blockSize= 512 +6.58864 +** SCAN TESTS ** +blockSize= 1024 +7.60422 +** SCAN TESTS ** +blockSize= 1024 +7.67088 +** SCAN TESTS ** +blockSize= 1024 +7.75478 +** SCAN TESTS ** +blockSize= 1024 +7.63782 +** SCAN TESTS ** +blockSize= 1024 +7.52176 +** SCAN TESTS ** +blockSize= 1024 +7.58723 +** SCAN TESTS ** +blockSize= 1024 +7.83197 +** SCAN TESTS ** +blockSize= 1024 +7.09651 +** SCAN TESTS ** +blockSize= 1024 +7.53715 +** SCAN TESTS ** +blockSize= 1024 +7.72787 \ No newline at end of file diff --git a/plots/data/timings.txt b/plots/data/timings.txt new file mode 100644 index 00000000..34aea946 --- /dev/null +++ b/plots/data/timings.txt @@ -0,0 +1,3776 @@ +** SCAN TESTS ** +SIZE= 1048576 +0.4504 +0.4851 +1.36806 +1.63558 +0.2928 +0.119808 +0.591872 +0.871424 + +1.7626 +1.6515 +2.9795 +0.485824 +0.269312 +** SCAN TESTS ** +SIZE= 1048576 +0.5501 +0.4727 +0.99328 +0.896576 +0.991584 +0.15872 +0.504832 +0.50688 + +1.7609 +1.7537 +3.0031 +0.57184 +0.28672 +** SCAN TESTS ** +SIZE= 1048576 +0.4682 +0.5173 +1.0007 +0.8968 +0.33104 +0.129024 +0.555008 +0.534528 + +1.788 +1.7597 +2.905 +0.562208 +0.236544 +** SCAN TESTS ** +SIZE= 1048576 +0.5049 +0.5013 +1.05923 +1.55363 +0.309632 +0.128 +0.5632 +1.18886 + +1.7676 +1.7558 +3.0609 +0.45408 +0.289792 +** SCAN TESTS ** +SIZE= 1048576 +0.5039 +0.4544 +1.04778 +1.02218 +0.269248 +0.130048 +1.02502 +1.03936 + +1.7631 +1.767 +3.1677 +0.541056 +0.498688 +** SCAN TESTS ** +SIZE= 1048576 +0.5116 +0.5015 +1.12358 +0.924448 +0.275488 +0.126976 +0.576512 +0.52736 + +1.7716 +1.7523 +2.8995 +0.485312 +0.267264 +** SCAN TESTS ** +SIZE= 1048576 +0.6063 +0.472 +1.09014 +0.907424 +0.287744 +0.121856 +0.555008 +0.627712 + +1.7736 +1.7799 +2.9913 +0.481152 +0.231424 +** SCAN TESTS ** +SIZE= 1048576 +0.54 +0.4696 +0.990528 +0.90704 +0.49472 +0.130048 +0.782336 +0.572416 + +1.7738 +1.7718 +2.9814 +0.683872 +0.221184 +** SCAN TESTS ** +SIZE= 1048576 +0.4714 +0.4571 +1.06557 +0.888192 +0.289152 +0.216064 +0.490496 +0.564224 + +1.772 +1.7727 +2.9239 +0.821728 +0.882688 +** SCAN TESTS ** +SIZE= 1048576 +0.6784 +0.473 +1.01606 +0.959392 +0.44688 +0.119808 +0.566272 +0.483328 + +1.7899 +1.7777 +3.0413 +1.20099 +0.2816 +** SCAN TESTS ** +SIZE= 524288 +0.2726 +0.2448 +0.923296 +0.919456 +0.319264 +0.145408 +0.570368 +0.499712 + +0.8899 +0.8792 +1.484 +0.366624 +0.139264 +** SCAN TESTS ** +SIZE= 524288 +0.2597 +3.2616 +1.64019 +0.768576 +0.218208 +0.078848 +0.5376 +0.524288 + +0.8938 +0.8795 +1.4681 +0.3992 +0.1536 +** SCAN TESTS ** +SIZE= 524288 +0.2345 +0.2091 +0.795232 +0.656224 +0.352256 +0.079872 +0.551936 +0.507904 + +0.9156 +0.8925 +1.5577 +0.403616 +0.157696 +** SCAN TESTS ** +SIZE= 524288 +0.2419 +0.2087 +1.56384 +0.628512 +0.778464 +0.1024 +0.520192 +0.49152 + +0.8868 +0.8961 +1.4897 +0.357472 +0.18944 +** SCAN TESTS ** +SIZE= 524288 +0.334 +0.2255 +0.72784 +0.688512 +0.321056 +0.079872 +0.550912 +0.482304 + +0.8902 +0.8859 +1.5687 +0.439872 +0.190464 +** SCAN TESTS ** +SIZE= 524288 +0.3269 +0.2151 +0.756384 +0.582912 +0.224256 +0.11776 +0.618496 +0.505856 + +0.8836 +0.8815 +1.4793 +0.35952 +0.205824 +** SCAN TESTS ** +SIZE= 524288 +0.2721 +0.334 +0.797824 +0.861888 +0.263424 +0.110592 +1.24621 +0.480256 + +0.8919 +0.8867 +1.5136 +0.351904 +0.167936 +** SCAN TESTS ** +SIZE= 524288 +0.2777 +0.2814 +1.23696 +0.777856 +0.535456 +0.080896 +0.559104 +0.521216 + +0.8926 +0.8845 +1.4883 +0.362944 +0.197632 +** SCAN TESTS ** +SIZE= 524288 +0.2368 +0.3119 +0.775712 +0.759072 +0.58144 +0.105472 +0.560128 +0.482304 + +0.8946 +0.8832 +1.6546 +0.364192 +0.150528 +** SCAN TESTS ** +SIZE= 524288 +0.2817 +0.316 +0.665056 +0.855264 +0.207776 +0.077824 +0.574464 +0.956416 + +0.8979 +0.8796 +1.466 +0.436096 +0.139264 +** SCAN TESTS ** +SIZE= 524288 +0.3001 +0.2419 +0.897216 +0.684736 +0.24432 +0.106496 +0.668672 +0.726016 + +0.886 +0.8807 +1.5079 +0.305024 +0.187392 +** SCAN TESTS ** +SIZE= 524288 +0.2796 +0.2488 +0.63728 +0.867808 +0.216096 +0.08192 +0.600064 +0.521216 + +0.8975 +0.8859 +1.481 +0.371648 +0.181248 +** SCAN TESTS ** +SIZE= 524288 +0.2721 +0.223 +0.832608 +0.90384 +0.226368 +0.08192 +0.525312 +0.451584 + +0.8892 +0.8826 +1.4629 +0.826112 +0.147456 +** SCAN TESTS ** +SIZE= 524288 +0.2353 +0.2863 +1.67933 +0.684672 +0.225216 +0.090112 +0.516096 +0.50688 + +0.8852 +0.8858 +1.5655 +0.390144 +0.192512 +** SCAN TESTS ** +SIZE= 262144 +0.1314 +0.0997 +1.42598 +1.02925 +0.202048 +0.083968 +0.536576 +0.622592 + +0.4531 +0.4483 +0.7781 +0.221024 +0.103424 +** SCAN TESTS ** +SIZE= 262144 +0.1202 +0.1002 +0.5288 +0.388416 +0.202304 +0.062464 +0.549888 +0.546816 + +0.4517 +0.4558 +0.7405 +0.349216 +0.104448 +** SCAN TESTS ** +SIZE= 262144 +0.128 +0.1123 +0.486112 +0.406784 +0.207776 +0.074752 +0.576512 +0.585728 + +0.4498 +0.4545 +0.7724 +0.250848 +0.113664 +** SCAN TESTS ** +SIZE= 262144 +0.1185 +0.124 +0.512032 +0.600384 +0.266528 +0.06144 +0.605184 +0.605184 + +0.4484 +0.4363 +0.7507 +0.309856 +0.11776 +** SCAN TESTS ** +SIZE= 262144 +0.1297 +0.1247 +0.47056 +0.394112 +0.197408 +0.063488 +0.514048 +0.637952 + +0.4533 +0.4422 +0.7578 +0.294272 +0.110592 +** SCAN TESTS ** +SIZE= 262144 +0.1519 +0.1236 +0.498464 +0.505952 +0.202048 +0.095232 +0.470016 +0.448512 + +0.446 +0.4488 +0.7608 +0.287456 +0.101376 +** SCAN TESTS ** +SIZE= 262144 +0.1315 +0.1236 +0.448384 +0.430176 +0.22336 +0.063488 +0.587776 +0.466944 + +0.4529 +0.4493 +0.7285 +0.354048 +0.101376 +** SCAN TESTS ** +SIZE= 262144 +0.1422 +0.126 +0.46608 +0.38432 +0.199616 +0.063488 +0.598016 +0.49152 + +0.4483 +0.4374 +0.7773 +0.300608 +0.100352 +** SCAN TESTS ** +SIZE= 262144 +0.1484 +0.1519 +0.476 +0.413568 +0.192672 +0.074752 +0.52224 +0.497664 + +0.4477 +0.4446 +0.7858 +0.329856 +0.101376 +** SCAN TESTS ** +SIZE= 262144 +0.1363 +0.1041 +0.54752 +0.397024 +0.19744 +0.063488 +0.562176 +0.454656 + +0.4555 +0.462 +0.7988 +0.277088 +0.118784 +** SCAN TESTS ** +SIZE= 262144 +0.1295 +0.1524 +0.560736 +0.408288 +0.26848 +0.075776 +0.545792 +0.50688 + +0.4531 +0.4515 +0.8054 +0.41584 +0.13824 +** SCAN TESTS ** +SIZE= 262144 +0.1357 +0.1516 +0.47424 +0.82832 +0.226016 +0.0768 +0.560128 +0.544672 + +0.4537 +0.4384 +0.8328 +0.871456 +0.105472 +** SCAN TESTS ** +SIZE= 262144 +0.1322 +0.1218 +0.488352 +0.378112 +0.220448 +0.06256 +0.502784 +0.502784 + +0.4574 +0.4532 +0.8122 +0.343904 +0.11888 +** SCAN TESTS ** +SIZE= 262144 +0.1223 +0.1229 +0.573664 +0.396352 +0.252704 +0.063488 +0.618496 +0.470016 + +0.458 +0.4536 +0.792 +0.3864 +0.115712 +** SCAN TESTS ** +SIZE= 262144 +0.1221 +0.1237 +0.583712 +0.387616 +0.24896 +0.062464 +0.5376 +0.636928 + +0.4624 +0.4436 +0.8024 +0.3528 +0.110592 +** SCAN TESTS ** +SIZE= 262144 +0.12 +0.1097 +0.485696 +0.365184 +0.223264 +0.062464 +0.585728 +0.49664 + +0.4463 +0.4437 +0.7758 +0.808992 +0.1024 +** SCAN TESTS ** +SIZE= 131072 +0.0641 +0.069 +0.423104 +0.610944 +0.197248 +0.056352 +0.14336 +0.047104 + +0.2291 +0.2283 +0.3813 +0.234144 +0.099328 +** SCAN TESTS ** +SIZE= 131072 +0.058 +0.0485 +1.17872 +0.313568 +0.23776 +0.068608 +0.132096 +0.045056 + +0.2289 +0.2181 +0.3837 +0.231712 +0.162816 +** SCAN TESTS ** +SIZE= 131072 +0.0716 +0.0612 +0.571392 +0.338112 +0.177792 +0.057344 +0.160768 +0.048128 + +0.226 +0.2171 +0.3918 +0.23936 +0.08704 +** SCAN TESTS ** +SIZE= 131072 +0.0672 +0.0507 +1.22704 +0.41136 +0.181312 +0.105472 +0.106496 +0.045056 + +0.2274 +0.2205 +0.3919 +0.240768 +0.130048 +** SCAN TESTS ** +SIZE= 131072 +0.0628 +0.0569 +0.508416 +0.386208 +0.192512 +0.057344 +0.155648 +0.047104 + +0.2477 +0.2164 +0.4028 +0.35344 +0.08704 +** SCAN TESTS ** +SIZE= 131072 +0.0652 +0.0605 +0.52832 +0.337024 +0.177568 +0.067584 +0.103424 +0.046016 + +0.2262 +0.2268 +0.3835 +0.249344 +0.28672 +** SCAN TESTS ** +SIZE= 131072 +0.066 +0.0593 +0.452096 +0.336096 +0.233248 +0.05744 +0.110592 +0.04608 + +0.2286 +0.2323 +0.3869 +0.223744 +0.083968 +** SCAN TESTS ** +SIZE= 131072 +0.0667 +0.0484 +0.71808 +0.406528 +0.228768 +0.059392 +0.105472 +0.083968 + +0.227 +0.2265 +0.3798 +0.210304 +0.088064 +** SCAN TESTS ** +SIZE= 131072 +0.0598 +0.0604 +0.476672 +0.367616 +0.17536 +0.05632 +0.10752 +0.050176 + +0.2286 +0.224 +0.4248 +0.263264 +0.104448 +** SCAN TESTS ** +SIZE= 131072 +0.061 +0.0508 +0.626464 +0.346592 +0.177152 +0.05632 +0.145408 +0.047008 + +0.2259 +0.2186 +0.3903 +0.2552 +0.109568 +** SCAN TESTS ** +SIZE= 131072 +0.0653 +0.075 +0.523136 +0.341312 +0.218432 +0.101376 +0.120832 +0.057344 + +0.2588 +0.2565 +0.439 +0.341088 +0.08704 +** SCAN TESTS ** +SIZE= 131072 +0.057 +0.0485 +0.452832 +1.05754 +0.223168 +0.068608 +0.113664 +0.053248 + +0.2266 +0.2179 +0.3915 +0.283936 +0.101376 +** SCAN TESTS ** +SIZE= 65536 +0.0298 +0.0273 +0.50256 +0.40112 +0.199424 +0.053248 +0.109568 +0.048128 + +0.1155 +0.1101 +0.2443 +0.193216 +0.269312 +** SCAN TESTS ** +SIZE= 65536 +0.0349 +0.034 +0.446688 +0.36672 +0.176256 +0.055296 +0.128 +0.083968 + +0.115 +0.1158 +0.1965 +0.228288 +0.113664 +** SCAN TESTS ** +SIZE= 65536 +0.0291 +0.0269 +0.444896 +0.314976 +0.22944 +0.052224 +0.13824 +0.078848 + +0.118 +0.1188 +0.2145 +0.255872 +0.088064 +** SCAN TESTS ** +SIZE= 65536 +0.0413 +0.0267 +0.467008 +0.281504 +0.220832 +0.053248 +0.105472 +0.050176 + +0.1175 +0.1124 +0.2082 +0.17616 +0.099328 +** SCAN TESTS ** +SIZE= 65536 +0.0282 +0.0271 +0.43968 +0.331424 +0.195552 +0.055296 +0.125952 +0.079872 + +0.1166 +0.1098 +0.2073 +0.256384 +0.082944 +** SCAN TESTS ** +SIZE= 65536 +0.0357 +0.0344 +0.572032 +0.274688 +0.204416 +0.053248 +0.104448 +0.04608 + +0.115 +0.1097 +0.217 +0.174432 +0.114688 +** SCAN TESTS ** +SIZE= 65536 +0.0352 +0.0341 +0.571328 +0.437504 +0.22624 +0.08704 +0.108544 +0.049152 + +0.1155 +0.1101 +0.2106 +0.316192 +0.079872 +** SCAN TESTS ** +SIZE= 65536 +0.0299 +0.0288 +0.464736 +0.297248 +0.207424 +0.052224 +0.104448 +0.04608 + +0.113 +0.107 +0.2086 +0.22704 +0.121856 +** SCAN TESTS ** +SIZE= 65536 +0.0312 +0.028 +0.467232 +0.448608 +0.267168 +0.053312 +0.14848 +0.048128 + +0.115 +0.1095 +0.1975 +0.218912 +0.079872 +** SCAN TESTS ** +SIZE= 65536 +0.0291 +0.0279 +1.16371 +0.336096 +0.218432 +0.052224 +0.126976 +0.048128 + +0.1459 +0.1438 +0.2517 +0.889952 +0.079872 +** SCAN TESTS ** +SIZE= 65536 +0.0346 +0.034 +0.567616 +0.3104 +0.202944 +0.053248 +0.137216 +0.093184 + +0.1468 +0.1448 +0.2769 +0.279424 +0.09216 +** SCAN TESTS ** +SIZE= 32768 +0.017 +0.016 +0.399936 +0.355616 +0.179584 +0.08704 +0.10752 +0.044032 + +0.0643 +0.0539 +0.1181 +0.21072 +0.079872 +** SCAN TESTS ** +SIZE= 32768 +0.0151 +0.0139 +0.393152 +0.447936 +0.176512 +0.0512 +0.141312 +0.029696 + +0.0583 +0.0581 +0.1111 +0.227392 +0.077824 +** SCAN TESTS ** +SIZE= 32768 +0.0139 +0.0132 +0.518368 +0.3568 +0.203072 +0.082944 +0.123872 +0.04608 + +0.066 +0.0546 +0.1048 +0.208608 +0.078848 +** SCAN TESTS ** +SIZE= 32768 +0.0167 +0.016 +0.4968 +0.338592 +0.21152 +0.084992 +0.144384 +0.03072 + +0.0595 +0.0586 +0.1106 +0.257408 +0.110592 +** SCAN TESTS ** +SIZE= 32768 +0.0206 +0.0129 +0.474816 +0.27232 +0.203456 +0.0512 +0.124928 +0.0768 + +0.0585 +0.0582 +0.1071 +0.255168 +0.146432 +** SCAN TESTS ** +SIZE= 32768 +0.0141 +0.0131 +0.488864 +0.31312 +0.17968 +0.052256 +0.105472 +0.044032 + +0.0581 +0.0544 +0.1183 +0.18912 +0.108544 +** SCAN TESTS ** +SIZE= 32768 +0.0173 +0.0166 +0.491584 +0.354208 +0.213728 +0.06144 +0.110592 +0.059392 + +0.0707 +0.0709 +0.1106 +0.221376 +0.101376 +** SCAN TESTS ** +SIZE= 32768 +0.0144 +0.0131 +0.482304 +0.740416 +0.220768 +0.053248 +0.118784 +0.050112 + +0.0594 +0.0588 +0.1067 +0.209408 +0.078848 +** SCAN TESTS ** +SIZE= 32768 +0.0136 +0.0119 +0.38848 +0.322016 +0.191776 +0.078848 +0.146432 +0.044032 + +0.0654 +0.055 +0.1108 +0.208832 +0.180224 +** SCAN TESTS ** +SIZE= 32768 +0.0167 +0.0159 +0.396736 +0.366464 +0.218144 +0.063488 +0.146432 +0.04096 + +0.0724 +0.067 +0.1376 +0.260352 +0.074752 +** SCAN TESTS ** +SIZE= 16384 +0.0082 +0.0076 +0.385024 +0.301056 +0.171008 +0.072736 +0.108544 +0.05632 + +0.0299 +0.0262 +0.0611 +0.182272 +0.142336 +** SCAN TESTS ** +SIZE= 16384 +0.0073 +0.0069 +0.425984 +0.314368 +0.187392 +0.052256 +0.10752 +0.050176 + +0.0377 +0.0319 +0.0798 +0.173056 +0.091136 +** SCAN TESTS ** +SIZE= 16384 +0.0071 +0.007 +0.976896 +0.270336 +0.748544 +0.095232 +0.10752 +0.047104 + +0.0301 +0.0295 +0.0595 +0.168 +0.144384 +** SCAN TESTS ** +SIZE= 16384 +0.0081 +0.0076 +0.369664 +0.251904 +0.158752 +0.0512 +0.098304 +0.0512 + +0.0377 +0.0349 +0.0776 +0.165888 +0.113664 +** SCAN TESTS ** +SIZE= 16384 +0.0079 +0.0061 +1.00147 +0.297984 +0.151552 +0.086016 +0.108544 +0.082944 + +0.0302 +0.0263 +0.1034 +0.141312 +0.136192 +** SCAN TESTS ** +SIZE= 16384 +0.0083 +0.0074 +0.386048 +0.280576 +0.124928 +0.0512 +0.13312 +0.050176 + +0.0418 +0.0351 +0.0744 +0.164864 +0.125952 +** SCAN TESTS ** +SIZE= 16384 +0.0079 +0.0076 +0.413696 +0.251008 +0.178176 +0.0512 +0.150528 +0.108544 + +0.0309 +0.0277 +0.0567 +0.171008 +0.096256 +** SCAN TESTS ** +SIZE= 16384 +0.0066 +0.0061 +0.473088 +0.351232 +0.131072 +0.075776 +0.130048 +0.047104 + +0.0388 +0.0354 +0.0739 +0.149504 +0.075776 +** SCAN TESTS ** +SIZE= 16384 +0.008 +0.0114 +0.366592 +0.377856 +0.18944 +0.060416 +0.106496 +0.055296 + +0.0307 +0.0278 +0.0614 +0.170048 +0.145408 +** SCAN TESTS ** +SIZE= 16384 +0.0082 +0.0076 +0.996352 +0.301056 +0.15872 +0.050272 +0.10752 +0.04608 + +0.0311 +0.0265 +0.0571 +0.157696 +0.14336 +** SCAN TESTS ** +SIZE= 8192 +0.0043 +0.0039 +0.315392 +0.234496 +0.186368 +0.052224 +0.11776 +0.048128 + +0.0184 +0.013 +0.0331 +0.22016 +0.10752 +** SCAN TESTS ** +SIZE= 8192 +0.004 +0.0031 +0.350208 +0.226304 +0.208896 +0.050176 +0.101376 +0.058368 + +0.015 +0.011 +0.0261 +0.181248 +0.147456 +** SCAN TESTS ** +SIZE= 8192 +0.0039 +0.0034 +0.93696 +0.306176 +0.13312 +0.053312 +0.124928 +0.039936 + +0.0153 +0.0107 +0.0266 +0.161792 +0.11264 +** SCAN TESTS ** +SIZE= 8192 +0.0046 +0.0038 +0.443392 +0.247808 +0.178176 +0.06656 +0.144384 +0.04608 + +0.0157 +0.0111 +0.0268 +0.159744 +0.123904 +** SCAN TESTS ** +SIZE= 8192 +0.0034 +0.0035 +0.387072 +0.270336 +0.173056 +0.058368 +0.118784 +0.047104 + +0.0153 +0.0107 +0.0265 +0.169984 +0.113664 +** SCAN TESTS ** +SIZE= 8192 +0.0042 +0.0041 +0.486528 +0.315392 +0.152576 +0.09216 +0.114688 +0.06656 + +0.0154 +0.0103 +0.027 +0.154656 +0.106496 +** SCAN TESTS ** +SIZE= 8192 +0.0044 +0.0038 +0.335872 +0.21504 +0.150528 +0.08704 +0.109568 +0.049152 + +0.0153 +0.0105 +0.0273 +0.690176 +0.074752 +** SCAN TESTS ** +SIZE= 8192 +0.0044 +0.0038 +0.345088 +0.325632 +0.131072 +0.0512 +0.126976 +0.045056 + +0.0152 +0.0104 +0.0265 +0.216064 +0.073728 +** SCAN TESTS ** +SIZE= 8192 +0.0042 +0.0039 +0.342016 +0.233472 +0.132096 +0.08704 +0.187392 +0.045056 + +0.0155 +0.0105 +0.0268 +0.18944 +0.139264 +** SCAN TESTS ** +SIZE= 8192 +0.0037 +0.0075 +0.352256 +0.29184 +0.170048 +0.086016 +0.105472 +0.04608 + +0.0155 +0.0106 +0.0265 +0.13312 +0.075776 +** SCAN TESTS ** +SIZE= 4096 +0.0027 +0.0015 +0.946176 +0.27648 +0.177152 +0.083968 +0.118784 +0.041984 + +0.0076 +0.0045 +0.0121 +0.124928 +0.073728 +** SCAN TESTS ** +SIZE= 4096 +0.0022 +0.0028 +0.907264 +0.221184 +0.14336 +0.072704 +0.109568 +0.045056 + +0.0079 +0.0045 +0.014 +0.171008 +0.072704 +** SCAN TESTS ** +SIZE= 4096 +0.0028 +0.002 +0.325632 +0.277504 +0.16384 +0.083968 +0.130048 +0.041984 + +0.008 +0.0046 +0.0143 +0.20992 +0.126976 +** SCAN TESTS ** +SIZE= 4096 +0.0028 +0.0019 +0.411648 +0.282624 +0.16384 +0.08192 +0.125952 +0.058368 + +0.0079 +0.0047 +0.0123 +0.163904 +0.120832 +** SCAN TESTS ** +SIZE= 4096 +0.0018 +0.0016 +0.295936 +0.27136 +0.1792 +0.06144 +0.111616 +0.045056 + +0.0078 +0.0044 +0.0132 +0.196608 +0.079872 +** SCAN TESTS ** +SIZE= 4096 +0.002 +0.0016 +0.268288 +0.241664 +0.145408 +0.0512 +0.11264 +0.079872 + +0.008 +0.0047 +0.0127 +0.160768 +0.142336 +** SCAN TESTS ** +SIZE= 4096 +0.0024 +0.002 +0.33792 +0.214016 +0.234496 +0.06144 +0.1024 +0.044032 + +0.0079 +0.0045 +0.0137 +0.151552 +0.109568 +** SCAN TESTS ** +SIZE= 4096 +0.0026 +0.002 +0.2816 +0.238592 +0.264192 +0.050176 +0.104448 +0.067584 + +0.0078 +0.0044 +0.0125 +0.164864 +0.11264 +** SCAN TESTS ** +SIZE= 4096 +0.0027 +0.002 +0.309248 +0.24064 +0.124928 +0.095232 +0.139264 +0.0512 + +0.0101 +0.0061 +0.0153 +0.212992 +0.098304 +** SCAN TESTS ** +SIZE= 4096 +0.0022 +0.0016 +0.340992 +0.26112 +0.157696 +0.086016 +0.100288 +0.057344 + +0.008 +0.0045 +0.015 +0.200704 +0.114688 +** SCAN TESTS ** +SIZE= 2048 +0.0014 +0.001 +0.385088 +0.299008 +0.12288 +0.083968 +0.11264 +0.045056 + +0.0041 +0.0023 +0.0108 +0.186368 +0.099328 +** SCAN TESTS ** +SIZE= 2048 +0.0015 +0.001 +0.953344 +0.288768 +0.196608 +0.053248 +0.116736 +0.049184 + +0.0042 +0.0022 +0.0084 +0.177152 +0.14336 +** SCAN TESTS ** +SIZE= 2048 +0.0012 +0.0009 +0.805888 +0.269312 +0.192512 +0.052224 +0.105472 +0.041984 + +0.0044 +0.0022 +0.0066 +0.187392 +0.142336 +** SCAN TESTS ** +SIZE= 2048 +0.0012 +0.0009 +0.467968 +0.190464 +0.130048 +0.050176 +0.105472 +0.043072 + +0.0041 +0.0022 +0.0063 +0.16384 +0.098304 +** SCAN TESTS ** +SIZE= 2048 +0.0014 +0.001 +0.294912 +0.289792 +0.123904 +0.084992 +0.1024 +0.054272 + +0.0052 +0.0028 +0.0079 +0.167936 +0.0768 +** SCAN TESTS ** +SIZE= 2048 +0.0013 +0.001 +0.387072 +0.29696 +0.177152 +0.686144 +0.113664 +0.04096 + +0.0044 +0.0021 +0.0056 +0.15872 +0.10752 +** SCAN TESTS ** +SIZE= 2048 +0.0013 +0.0008 +0.280576 +0.19456 +0.126048 +0.052224 +0.110592 +0.050176 + +0.0052 +0.0026 +0.0066 +0.290816 +0.080896 +** SCAN TESTS ** +SIZE= 2048 +0.0016 +0.001 +0.335872 +0.219136 +0.19968 +0.0512 +0.14336 +0.044032 + +0.0038 +0.002 +0.0049 +0.16896 +0.110592 +** SCAN TESTS ** +SIZE= 2048 +0.0014 +0.001 +0.333824 +0.212992 +0.151552 +0.065536 +0.1024 +0.04496 + +0.0042 +0.0022 +0.0054 +0.16384 +0.72704 +** SCAN TESTS ** +SIZE= 2048 +0.0011 +0.0009 +0.319488 +0.221184 +0.185344 +0.08192 +0.103424 +0.045056 + +0.0043 +0.0023 +0.0068 +0.192512 +0.073728 +** SCAN TESTS ** +SIZE= 2048 +0.0014 +0.001 +0.303104 +0.251904 +0.154624 +0.075776 +0.123904 +0.047104 + +0.0041 +0.002 +0.0052 +0.167936 +0.075776 +** SCAN TESTS ** +SIZE= 1024 +0.001 +0.0006 +0.357376 +0.274432 +0.193536 +0.088064 +0.118784 +0.04608 + +0.0019 +0.001 +0.0026 +0.193536 +0.105472 +** SCAN TESTS ** +SIZE= 1024 +0.0012 +0.0005 +0.30208 +0.241664 +0.178176 +0.08704 +0.128 +0.041984 + +0.0022 +0.0011 +0.0031 +0.141312 +0.0768 +** SCAN TESTS ** +SIZE= 1024 +0.0009 +0.0006 +0.406528 +0.272384 +0.152576 +0.084992 +0.123904 +0.055296 + +0.0028 +0.0013 +0.0035 +0.182272 +0.109568 +** SCAN TESTS ** +SIZE= 1024 +0.0009 +0.0005 +0.326656 +0.201728 +0.154624 +0.08192 +0.10656 +0.04816 + +0.0028 +0.0014 +0.0034 +0.220192 +0.074752 +** SCAN TESTS ** +SIZE= 1024 +0.0008 +0.0004 +0.447488 +0.259072 +0.160768 +0.06144 +0.131008 +0.04608 + +0.0021 +0.001 +0.0026 +0.216064 +0.074752 +** SCAN TESTS ** +SIZE= 1024 +0.0011 +0.0004 +0.35328 +0.201728 +0.177152 +0.08192 +0.125952 +0.041984 + +0.0023 +0.0011 +0.0029 +0.17408 +0.10752 +** SCAN TESTS ** +SIZE= 1024 +0.0015 +0.0005 +0.349184 +0.221184 +0.259072 +0.124928 +0.121792 +0.043008 + +0.0021 +0.0009 +0.0027 +0.165888 +0.198656 +** SCAN TESTS ** +SIZE= 1024 +0.0011 +0.0006 +0.305152 +0.146432 +0.1536 +0.088064 +0.123904 +0.029696 + +0.0021 +0.0011 +0.0028 +0.166912 +0.11264 +** SCAN TESTS ** +SIZE= 1024 +0.0008 +0.0006 +0.306176 +0.181248 +0.156672 +0.086016 +0.149504 +0.045056 + +0.0019 +0.001 +0.0028 +0.175104 +0.125952 +** SCAN TESTS ** +SIZE= 1024 +0.0008 +0.0005 +0.754688 +0.1792 +0.156704 +0.049184 +0.116736 +0.04608 + +0.0022 +0.0011 +0.0028 +0.195584 +0.109568 +** SCAN TESTS ** +SIZE= 1024 +0.001 +0.0006 +0.372736 +0.180224 +0.176128 +0.0512 +0.105472 +0.048128 + +0.0025 +0.0012 +0.0032 +0.176128 +0.126976 +** SCAN TESTS ** +SIZE= 1024 +0.001 +0.0006 +0.340992 +0.186368 +0.193536 +0.049152 +0.106496 +0.045056 + +0.0028 +0.0013 +0.0034 +0.192512 +0.141312 +** SCAN TESTS ** +SIZE= 1024 +0.0007 +0.0005 +0.361472 +0.229376 +0.160768 +0.048128 +0.139264 +0.045056 + +0.0022 +0.001 +0.0029 +0.160768 +0.073728 +** SCAN TESTS ** +SIZE= 512 +0.0006 +0.0003 +0.293888 +0.180224 +0.108544 +0.016384 +0.120832 +0.077824 + +0.0012 +0.0006 +0.0013 +0.134144 +0.0512 +** SCAN TESTS ** +SIZE= 512 +0.0007 +0.0003 +0.297984 +0.192512 +0.063488 +0.027648 +0.101376 +0.045056 + +0.0011 +0.0005 +0.0013 +0.113664 +0.082944 +** SCAN TESTS ** +SIZE= 512 +0.0007 +0.0004 +0.315392 +0.188416 +0.080896 +0.016384 +0.11776 +0.041984 + +0.0013 +0.0006 +0.0016 +0.113664 +0.093184 +** SCAN TESTS ** +SIZE= 512 +0.0006 +0.0003 +0.3072 +0.233472 +0.067584 +0.024576 +0.108544 +0.041984 + +0.0013 +0.0006 +0.0017 +0.156672 +0.08704 +** SCAN TESTS ** +SIZE= 512 +0.001 +0.0003 +0.325632 +0.23552 +0.099328 +0.017408 +0.124928 +0.047168 + +0.0012 +0.0006 +0.0015 +0.10752 +0.089088 +** SCAN TESTS ** +SIZE= 512 +0.0007 +0.0003 +0.27648 +0.253952 +0.099328 +0.033792 +0.152576 +0.043104 + +0.0015 +0.0007 +0.0019 +0.146432 +0.0512 +** SCAN TESTS ** +SIZE= 512 +0.0007 +0.0003 +1.02605 +0.19968 +0.090112 +0.017408 +0.126976 +0.045056 + +0.0013 +0.0005 +0.0015 +0.140288 +0.083968 +** SCAN TESTS ** +SIZE= 512 +0.0007 +0.0003 +0.32256 +0.200704 +0.059392 +0.016384 +0.142336 +0.04608 + +0.0015 +0.0006 +0.0019 +0.144384 +0.050176 +** SCAN TESTS ** +SIZE= 512 +0.0005 +0.0003 +0.26112 +0.226304 +0.075776 +0.016384 +0.119808 +0.045056 + +0.0013 +0.0005 +0.0016 +0.137216 +0.079872 +** SCAN TESTS ** +SIZE= 512 +0.0008 +0.0004 +0.351232 +0.232448 +0.069632 +0.023552 +0.114688 +0.047104 + +0.0013 +0.0006 +0.0016 +0.115712 +0.059392 +** SCAN TESTS ** +SIZE= 512 +0.0011 +0.0003 +0.268288 +0.217088 +0.098304 +0.023552 +0.128 +0.044032 + +0.0012 +0.0007 +0.0017 +0.106496 +0.050176 +** SCAN TESTS ** +SIZE= 512 +0.0006 +0.0002 +0.297984 +0.226304 +0.096256 +0.024576 +0.124928 +0.044032 + +0.0011 +0.0006 +0.0015 +0.167936 +0.048128 +** SCAN TESTS ** +SIZE= 256 +0.0005 +0.0002 +0.24576 +0.191488 +0.09216 +0.016384 +0.105472 +0.067584 + +0.0007 +0.0004 +0.0009 +0.144384 +0.08192 +** SCAN TESTS ** +SIZE= 256 +0.0004 +0.0002 +0.25088 +0.12288 +0.0768 +0.017408 +0.106496 +0.074752 + +0.0006 +0.0004 +0.0008 +0.14336 +0.050176 +** SCAN TESTS ** +SIZE= 256 +0.0008 +0.0002 +0.316416 +0.229376 +0.078848 +0.0256 +0.125952 +0.034816 + +0.0008 +0.0004 +0.0008 +0.142336 +0.083968 +** SCAN TESTS ** +SIZE= 256 +0.0004 +0.0001 +0.239616 +0.181248 +0.079872 +0.016384 +0.136192 +0.045056 + +0.0007 +0.0004 +0.0009 +0.139264 +0.082944 +** SCAN TESTS ** +SIZE= 256 +0.0004 +0.0002 +0.335872 +0.183296 +0.091136 +0.016384 +0.125952 +0.043008 + +0.0007 +0.0004 +0.0007 +0.195584 +0.065536 +** SCAN TESTS ** +SIZE= 256 +0.0005 +0.0003 +0.33792 +0.150528 +0.083968 +0.023552 +0.10752 +0.045056 + +0.0007 +0.0004 +0.0008 +0.107616 +0.050176 +** SCAN TESTS ** +SIZE= 256 +0.0004 +0.0001 +0.257024 +0.1536 +0.062464 +0.023552 +0.126976 +0.043008 + +0.0009 +0.0004 +0.0011 +0.166912 +0.058368 +** SCAN TESTS ** +SIZE= 256 +0.0006 +0.0002 +0.3072 +0.151552 +0.095232 +0.023552 +0.128 +0.026624 + +0.0006 +0.0004 +0.0008 +0.140288 +0.082944 +** SCAN TESTS ** +SIZE= 256 +0.0005 +0.0003 +0.333824 +0.175104 +0.093184 +0.016384 +0.121856 +0.045056 + +0.0007 +0.0004 +0.0007 +0.166912 +0.049152 +** SCAN TESTS ** +SIZE= 256 +0.0004 +0.0002 +0.241664 +0.186432 +0.063488 +0.016384 +0.129024 +0.077824 + +0.0007 +0.0004 +0.0008 +0.147456 +0.049152 +** SCAN TESTS ** +SIZE= 256 +0.0005 +0.0002 +0.252928 +0.201728 +0.12288 +0.016448 +0.149504 +0.044032 + +0.0006 +0.0004 +0.0008 +0.11776 +0.083968 +** SCAN TESTS ** +SIZE= 256 +0.0005 +0.0002 +0.238688 +0.14336 +0.100352 +0.017408 +0.135168 +0.039936 + +0.0007 +0.0004 +0.0009 +0.155648 +0.049152 +** SCAN TESTS ** +SIZE= 256 +0.0005 +0.0003 +0.26624 +0.209952 +0.094208 +0.016384 +0.105472 +0.04608 + +0.0007 +0.0004 +0.0008 +0.151552 +0.093184 +** SCAN TESTS ** +SIZE= 256 +0.0004 +0.0002 +0.231424 +0.18432 +0.077824 +0.016416 +0.108544 +0.045056 + +0.0007 +0.0004 +0.0009 +0.134144 +0.083968 +** SCAN TESTS ** +SIZE= 256 +0.0004 +0.0002 +0.246784 +0.216064 +0.095232 +0.018432 +0.13312 +0.055296 + +0.0008 +0.0004 +0.001 +0.113664 +0.049152 +** SCAN TESTS ** +SIZE= 1048576 +0.5552 +0.5048 +1.43517 +1.1567 +0.428256 +0.12288 +0.548864 +0.65024 + +1.7697 +1.7612 +3.2172 +0.527648 +0.292864 +** SCAN TESTS ** +SIZE= 2097152 +1.0637 +1.0598 +1.79869 +1.64061 +0.774624 +0.549888 +0.57856 +0.699392 + +3.3956 +3.5848 +6.3465 +1.32294 +1.38957 +** SCAN TESTS ** +SIZE= 2097152 +1.2786 +1.1046 +1.71523 +2.27069 +0.728864 +0.556032 +0.55296 +0.551936 + +3.534 +3.5509 +6.0547 +1.76403 +1.08339 +** SCAN TESTS ** +SIZE= 2097152 +1.0387 +1.0955 +1.73178 +2.14938 +0.654048 +0.579584 +0.534528 +0.526336 + +3.5031 +3.5363 +6.1338 +1.47238 +1.04346 +** SCAN TESTS ** +SIZE= 2097152 +1.3694 +1.0494 +1.81363 +1.59533 +1.10499 +0.509952 +0.583648 +0.676864 + +3.4984 +3.3388 +6.397 +1.29149 +1.06496 +** SCAN TESTS ** +SIZE= 2097152 +1.028 +0.9806 +1.79773 +1.59802 +0.725536 +0.507904 +0.566272 +0.748544 + +3.5767 +3.5661 +6.0808 +1.38314 +0.920576 +** SCAN TESTS ** +SIZE= 2097152 +1.1422 +1.0384 +2.77859 +1.58848 +0.738944 +0.504832 +0.528384 +0.698368 + +3.5595 +3.4713 +6.2921 +1.29184 +0.965632 +** SCAN TESTS ** +SIZE= 2097152 +1.0823 +1.0753 +2.00064 +1.59347 +0.93792 +0.497664 +0.538624 +1.16835 + +3.5402 +3.5109 +6.1128 +1.22554 +0.991232 +** SCAN TESTS ** +SIZE= 2097152 +1.1428 +1.0534 +1.80038 +1.57702 +1.27027 +0.52224 +0.57856 +0.622592 + +3.5185 +3.3396 +6.7386 +1.35978 +1.12333 +** SCAN TESTS ** +SIZE= 2097152 +0.9588 +0.9766 +1.78499 +2.28851 +0.662272 +0.650272 +0.643072 +0.562176 + +3.5533 +3.5475 +6.1091 +1.47894 +0.971776 +** SCAN TESTS ** +SIZE= 2097152 +1.0233 +0.9828 +2.16378 +1.69619 +0.733248 +0.596992 +0.548864 +0.559104 + +3.5766 +3.5256 +6.4474 +1.3208 +1.00352 +** SCAN TESTS ** +SIZE= 4194304 +2.18 +2.2165 +3.2249 +3.21805 +0.958336 +0.843776 +0.664576 +0.81408 + +7.2458 +7.1916 +12.6813 +1.58509 +1.31994 +** SCAN TESTS ** +SIZE= 4194304 +1.9014 +2.1376 +3.84598 +3.12982 +1.05837 +1.21754 +0.663552 +0.720896 + +7.1029 +7.1129 +16.594 +1.90944 +1.29434 +** SCAN TESTS ** +SIZE= 4194304 +2.0985 +2.1093 +3.19302 +3.23082 +1.52906 +0.804864 +0.673792 +0.6144 + +6.9448 +7.0111 +12.0462 +1.61491 +1.29126 +** SCAN TESTS ** +SIZE= 4194304 +2.046 +2.0965 +3.24842 +3.21526 +1.00698 +0.615424 +0.674816 +0.684032 + +6.86 +6.8863 +12.5549 +1.55798 +3.02592 +** SCAN TESTS ** +SIZE= 4194304 +2.2949 +2.2026 +3.16701 +3.74506 +0.973408 +0.591872 +0.638976 +0.617472 + +7.2153 +7.1366 +12.6805 +1.60208 +1.62918 +** SCAN TESTS ** +SIZE= 4194304 +2.4326 +1.9851 +3.23459 +3.22314 +1.11504 +0.85504 +0.657408 +1.07827 + +7.1045 +7.126 +12.3457 +1.57347 +1.2288 +** SCAN TESTS ** +SIZE= 4194304 +1.9245 +2.0409 +3.87283 +3.12003 +0.97856 +1.51757 +0.6912 +0.705536 + +6.9868 +7.057 +12.3065 +1.68016 +1.33222 +** SCAN TESTS ** +SIZE= 4194304 +2.0329 +2.3725 +3.29904 +3.73277 +0.882048 +0.758784 +0.75264 +0.8048 + +7.2324 +7.15 +12.6406 +1.60282 +1.28819 +** SCAN TESTS ** +SIZE= 4194304 +2.2467 +2.1563 +3.71978 +3.25091 +1.0224 +0.86528 +0.693248 +0.731136 + +7.0871 +6.7846 +13.0226 +1.77075 +1.31174 +** SCAN TESTS ** +SIZE= 4194304 +1.9668 +2.0215 +3.80122 +3.23866 +0.9808 +0.723968 +0.596992 +0.801792 + +7.4832 +7.1112 +12.6838 +1.99706 +1.28 +** SCAN TESTS ** +SIZE= 8388608 +4.1648 +4.3179 +6.95533 +6.41062 +1.2665 +0.978944 +0.881664 +0.887808 + +14.5249 +14.1581 +24.7806 +2.1585 +1.93437 +** SCAN TESTS ** +SIZE= 8388608 +4.0626 +4.1356 +6.8207 +6.13306 +1.39952 +0.828416 +0.7936 +0.923648 + +14.2262 +13.6921 +24.4571 +2.33824 +1.80736 +** SCAN TESTS ** +SIZE= 8388608 +3.8734 +4.1889 +6.42112 +6.72486 +1.51571 +1.07008 +1.02605 +0.935936 + +14.1611 +14.0538 +24.7208 +2.23578 +1.94662 +** SCAN TESTS ** +SIZE= 8388608 +3.895 +4.454 +7.00374 +6.92333 +1.72573 +1.01786 +0.949248 +0.948288 + +14.1115 +13.7728 +25.3407 +2.14582 +1.92 +** SCAN TESTS ** +SIZE= 8388608 +4.3684 +3.8767 +6.36963 +6.23763 +1.98704 +1.13664 +0.858112 +0.980992 + +14.0435 +14.336 +24.99 +2.25568 +1.9712 +** SCAN TESTS ** +SIZE= 8388608 +4.5514 +4.1218 +6.35981 +6.27021 +1.64166 +1.11002 +0.843776 +0.896 + +14.28 +14.097 +25.9096 +2.17619 +1.95072 +** SCAN TESTS ** +SIZE= 8388608 +4.0255 +4.1788 +6.96211 +6.14246 +1.6569 +1.00352 +1.08339 +0.902176 + +14.0148 +13.8375 +25.2176 +2.23869 +1.92307 +** SCAN TESTS ** +SIZE= 8388608 +4.5373 +4.2575 +7.18739 +6.75066 +1.49405 +1.07725 +0.8704 +1.27795 + +13.8218 +13.7692 +25.3661 +2.46467 +1.99578 +** SCAN TESTS ** +SIZE= 8388608 +4.1012 +4.176 +6.85757 +6.13942 +1.81488 +1.23187 +0.86016 +0.973824 + +13.9876 +13.8367 +25.9743 +2.13539 +1.87597 +** SCAN TESTS ** +SIZE= 8388608 +4.2186 +4.3114 +6.96698 +6.19072 +1.7815 +1.32608 +0.854016 +0.940032 + +13.6961 +13.8071 +24.1105 +2.30371 +1.95584 +** SCAN TESTS ** +SIZE= 16777216 +8.8192 +8.6034 +13.0046 +12.4661 +1.9721 +1.86061 +1.14483 +1.11514 + +27.9313 +27.4414 +50.0174 +3.39184 +3.04333 +** SCAN TESTS ** +SIZE= 16777216 +8.7636 +7.9199 +12.4361 +12.269 +2.05738 +1.71418 +1.08237 +1.10182 + +27.696 +28.2018 +51.2568 +3.49302 +2.94298 +** SCAN TESTS ** +SIZE= 16777216 +8.0591 +8.1771 +13.0196 +12.4272 +1.9687 +1.97018 +1.16838 +1.09875 + +28.2515 +28.9084 +49.4342 +3.47747 +3.17338 +** SCAN TESTS ** +SIZE= 16777216 +8.332 +8.3742 +13.007 +12.8768 +1.87334 +1.87597 +1.09978 +1.0793 + +28.3906 +27.9081 +52.1602 +3.37898 +3.36691 +** SCAN TESTS ** +SIZE= 16777216 +10.5132 +8.6552 +13.022 +12.322 +1.91459 +1.76435 +1.13869 +1.02605 + +27.9204 +27.608 +49.5117 +3.37341 +3.10477 +** SCAN TESTS ** +SIZE= 16777216 +8.1987 +8.6911 +13.3701 +12.4167 +2.07562 +1.84218 +1.16736 +1.16227 + +27.908 +27.1709 +50.3292 +3.3727 +3.21331 +** SCAN TESTS ** +SIZE= 16777216 +8.5866 +8.5128 +12.9977 +12.4143 +1.90534 +1.72646 +1.12333 +1.09978 + +28.0414 +27.45 +52.7391 +3.28806 +3.01466 +** SCAN TESTS ** +SIZE= 16777216 +8.1571 +8.2681 +12.8949 +12.4012 +1.90502 +1.72237 +1.08544 +1.08032 + +27.5374 +28.1366 +51.9063 +3.4713 +3.00858 +** SCAN TESTS ** +SIZE= 16777216 +8.5533 +8.4548 +13.0243 +12.3937 +1.87325 +1.82682 +1.05062 +1.07418 + +28.0757 +28.6645 +50.3038 +3.29414 +3.10682 +** SCAN TESTS ** +SIZE= 16777216 +8.3335 +8.0696 +14.0056 +12.3258 +2.14918 +1.89747 +1.08237 +1.08749 + +27.7936 +28.9048 +49.6402 +3.37325 +3.02387 +** SCAN TESTS ** +SIZE= 33554432 +17.1524 +15.4388 +25.4122 +25.2767 +3.368 +3.0464 +1.73869 +1.64352 + +57.015 +55.3494 +100.392 +5.86621 +5.53472 +** SCAN TESTS ** +SIZE= 33554432 +15.7645 +16.3241 +25.4285 +25.3756 +3.17162 +2.83853 +1.64352 +1.55034 + +55.9716 +56.3901 +100.645 +5.6831 +5.45997 +** SCAN TESTS ** +SIZE= 33554432 +17.6581 +18.0834 +25.3882 +25.7363 +3.02618 +2.77094 +1.65581 +1.6169 + +55.8455 +56.1403 +103.037 +5.58765 +5.44358 +** SCAN TESTS ** +SIZE= 33554432 +17.3758 +15.8788 +25.2473 +25.2294 +3.12957 +2.84058 +1.5872 +1.58208 + +56.0168 +55.9438 +101.631 +5.71117 +5.3248 +** SCAN TESTS ** +SIZE= 33554432 +16.7024 +17.1964 +25.4267 +25.2602 +2.93616 +2.95117 +1.61587 +1.60154 + +55.6078 +57.3164 +103.323 +5.97661 +5.48352 +** SCAN TESTS ** +SIZE= 33554432 +16.3218 +16.0544 +25.519 +25.2199 +3.09546 +2.81088 +1.61792 +1.69574 + +57.0773 +55.0733 +99.9008 +5.75434 +5.3719 +** SCAN TESTS ** +SIZE= 33554432 +16.338 +16.5429 +25.4168 +25.3821 +3.30931 +3.11091 +1.72749 +1.71917 + +56.7651 +54.625 +101.518 +6.03466 +5.4313 +** SCAN TESTS ** +SIZE= 33554432 +17.5497 +16.8521 +25.314 +25.3746 +3.28918 +3.06381 +1.65363 +1.73168 + +56.7143 +57.5416 +101.239 +5.62749 +5.3975 +** SCAN TESTS ** +SIZE= 33554432 +15.9771 +17.0679 +25.2897 +25.4526 +2.99638 +2.80986 +1.52269 +1.77152 + +55.4533 +56.7389 +102.083 +5.82 +5.36576 +** SCAN TESTS ** +SIZE= 33554432 +15.6764 +16.6751 +25.3104 +25.3611 +3.36125 +2.67878 +1.60051 +1.62102 + +57.3079 +55.0642 +103.722 +5.7879 +5.44461 +** SCAN TESTS ** +SIZE= 67108864 +32.9706 +35.5836 +53.0656 +53.5323 +5.12349 +4.9193 +2.74218 +2.75446 + +112.721 +110.711 +199.535 +10.3279 +10.1284 +** SCAN TESTS ** +SIZE= 67108864 +33.5569 +34.8141 +52.5207 +52.7478 +5.1296 +4.95107 +2.75661 +2.61939 + +113.256 +111.616 +201.185 +10.2797 +10.2431 +** SCAN TESTS ** +SIZE= 67108864 +31.8614 +33.4057 +52.6211 +53.2301 +4.82077 +5.04218 +2.57126 +3.23782 + +112.968 +110.388 +202.18 +10.4631 +10.4233 +** SCAN TESTS ** +SIZE= 67108864 +32.7121 +32.178 +53.204 +53.2202 +4.98829 +4.86912 +2.67162 +2.70336 + +112.433 +111.404 +199.558 +10.5103 +10.0844 +** SCAN TESTS ** +SIZE= 67108864 +33.219 +32.6333 +52.8677 +53.5472 +5.17571 +4.91213 +2.81805 +2.78938 + +112.719 +111.592 +200.691 +10.4745 +10.1069 +** SCAN TESTS ** +SIZE= 67108864 +32.5147 +32.7109 +52.6984 +52.8136 +5.25699 +4.9193 +2.55795 +2.75558 + +114.087 +111.741 +201.624 +10.2673 +10.3004 +** SCAN TESTS ** +SIZE= 67108864 +34.0245 +32.2048 +52.9994 +52.2628 +5.212 +5.33606 +2.64192 +2.65523 + +111.849 +113.071 +201.059 +10.4103 +10.0895 +** SCAN TESTS ** +SIZE= 67108864 +31.8586 +34.716 +52.758 +52.8854 +5.27904 +4.89584 +2.5856 +2.69722 + +112.197 +112.028 +205.128 +10.6945 +10.1253 +** SCAN TESTS ** +SIZE= 67108864 +33.727 +32.7404 +52.5358 +52.5147 +5.66061 +4.91315 +2.87334 +2.80371 + +110.564 +111.981 +201.118 +10.483 +9.96454 +** SCAN TESTS ** +SIZE= 67108864 +31.3847 +33.2231 +52.6487 +53.3386 +4.98733 +4.96435 +2.58765 +2.61939 + +113.122 +113.051 +202.496 +10.7417 +10.2738 +** SCAN TESTS ** +SIZE= 134217728 +65.7458 +66.5541 +109.714 +108.931 +9.90403 +9.3952 +4.66637 +4.61414 + +224.717 +226.441 +405.414 +19.2476 +18.6665 +** SCAN TESTS ** +SIZE= 134217728 +71.1686 +70.3108 +110.751 +109.079 +10.0701 +9.49658 +4.77798 +4.64486 + +223.765 +223.462 +400.433 +19.1076 +18.7228 +** SCAN TESTS ** +SIZE= 134217728 +63.701 +64.7987 +110.326 +109.048 +9.95459 +9.56422 +4.65818 +4.76262 + +222.645 +222.427 +400.019 +20.2342 +19.4038 +** SCAN TESTS ** +SIZE= 134217728 +64.6291 +72.2041 +110.321 +108.97 +9.69693 +9.44435 +4.67354 +5.21523 + +225.243 +223.965 +407.214 +20.1375 +19.543 +** SCAN TESTS ** +SIZE= 134217728 +66.9426 +67.8383 +110.252 +108.943 +10.3463 +9.47405 +4.67354 +4.864 + +225.264 +222.31 +405.457 +21.0745 +18.9583 +** SCAN TESTS ** +SIZE= 134217728 +71.2926 +64.0346 +110.549 +109.242 +10.0368 +9.54163 +4.64896 +4.71654 + +223.021 +220.288 +403.56 +20.3589 +19.2143 +** SCAN TESTS ** +SIZE= 134217728 +64.5018 +69.2349 +110.357 +108.873 +9.96083 +9.37677 +4.67251 +4.66739 + +227.221 +223.779 +405.394 +20.2519 +18.8559 +** SCAN TESTS ** +SIZE= 134217728 +66.2381 +65.3097 +110.37 +109.331 +9.97939 +9.4935 +4.67456 +4.76262 + +224.317 +228.967 +405.428 +19.0925 +19.115 +** SCAN TESTS ** +SIZE= 134217728 +64.5025 +65.5607 +110.815 +108.996 +9.51082 +8.98867 +4.6848 +4.91622 + +223.964 +222.718 +406.811 +19.3702 +18.9348 +** SCAN TESTS ** +SIZE= 134217728 +70.6062 +70.563 +110.376 +109.062 +10.1392 +9.3911 +5.01862 +4.74931 + +227.643 +226.933 +402.117 +20.1753 +19.0259 +** SCAN TESTS ** +SIZE= 268435456 +132.373 +133.35 +228.608 +227.778 +16.8142 +16.8602 +8.58112 +8.54323 + +451.766 +456.493 +804.737 +39.1622 +36.9736 +** SCAN TESTS ** +SIZE= 268435456 +130.853 +132.751 +230.517 +227.635 +17.5688 +17.0496 +8.2135 +9.22624 + +450.667 +452.019 +842.232 +37.3482 +37.1026 +** SCAN TESTS ** +SIZE= 268435456 +132.292 +138.979 +228.483 +227.452 +17.3796 +16.34 +8.576 +8.63744 + +448.704 +450.355 +803.179 +38.7403 +36.6735 +** SCAN TESTS ** +SIZE= 268435456 +132.747 +128.708 +228.25 +227.803 +17.5412 +16.6175 +8.52582 +8.62413 + +451.018 +450.695 +819.745 +37.7899 +37.3105 +** SCAN TESTS ** +SIZE= 268435456 +143.426 +153.884 +228.478 +227.438 +17.1444 +16.9697 +8.54426 +8.5975 + +453.483 +446.99 +801.387 +39.5788 +37.0872 +** SCAN TESTS ** +SIZE= 268435456 +136.296 +133.544 +228.354 +227.714 +17.319 +17.1448 +8.91802 +8.66714 + +447.684 +454.203 +804.796 +39.0621 +37.0831 +** SCAN TESTS ** +SIZE= 268435456 +139.047 +134.467 +228.831 +227.896 +17.4343 +17.1387 +8.64563 +8.76954 + +464.444 +453.871 +815.938 +39.8693 +36.8323 +** SCAN TESTS ** +SIZE= 268435456 +128.088 +133.992 +228.497 +227.595 +17.2821 +16.6349 +8.35482 +8.6057 + +449.984 +456.349 +831.611 +38.8659 +36.6664 +** SCAN TESTS ** +SIZE= 268435456 +137.352 +133.549 +228.095 +227.808 +17.6704 +17.0086 +8.76442 +9.07674 + +448.816 +458.047 +834.451 +39.5145 +36.1943 +** SCAN TESTS ** +SIZE= 268435456 +147.094 +134.541 +228.095 +227.397 +17.2193 +17.1213 +8.28723 +8.47053 + +452.239 +452.946 +821.22 +36.6826 +36.8712 +** SCAN TESTS ** +SIZE= 268435456 +131.345 +133.329 +228.696 +227.337 +17.0305 +16.7363 +8.45517 +8.69888 + +453.835 +445.657 +827.376 +39.1469 +36.5681 diff --git a/plots/data/timings_all_runs_long.csv b/plots/data/timings_all_runs_long.csv new file mode 100644 index 00000000..d908ca69 --- /dev/null +++ b/plots/data/timings_all_runs_long.csv @@ -0,0 +1,2731 @@ +size,run,suite,method,time_s,time_ms +1048576,1,scan,scan_cpu_pow2,0.4504,450.40000000000003 +1048576,1,scan,scan_cpu_non_pow2,0.4851,485.09999999999997 +1048576,1,scan,scan_naive_pow2,1.36806,1368.06 +1048576,1,scan,scan_naive_non_pow2,1.63558,1635.58 +1048576,1,scan,scan_work_efficient_pow2,0.2928,292.8 +1048576,1,scan,scan_work_efficient_non_pow2,0.119808,119.80799999999999 +1048576,1,scan,scan_thrust_pow2,0.591872,591.872 +1048576,1,scan,scan_thrust_non_pow2,0.871424,871.424 +1048576,1,compact,compact_cpu_without_scan_pow2,1.7626,1762.6 +1048576,1,compact,compact_cpu_without_scan_non_pow2,1.6515,1651.5 +1048576,1,compact,compact_cpu_with_scan,2.9795,2979.5 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+32768,4,compact,compact_work_efficient_non_pow2,0.110592,110.592 +32768,5,scan,scan_cpu_pow2,0.0206,20.6 +32768,5,scan,scan_cpu_non_pow2,0.0129,12.9 +32768,5,scan,scan_naive_pow2,0.474816,474.81600000000003 +32768,5,scan,scan_naive_non_pow2,0.27232,272.32 +32768,5,scan,scan_work_efficient_pow2,0.203456,203.456 +32768,5,scan,scan_work_efficient_non_pow2,0.0512,51.2 +32768,5,scan,scan_thrust_pow2,0.124928,124.928 +32768,5,scan,scan_thrust_non_pow2,0.0768,76.8 +32768,5,compact,compact_cpu_without_scan_pow2,0.0585,58.5 +32768,5,compact,compact_cpu_without_scan_non_pow2,0.0582,58.2 +32768,5,compact,compact_cpu_with_scan,0.1071,107.1 +32768,5,compact,compact_work_efficient_pow2,0.255168,255.168 +32768,5,compact,compact_work_efficient_non_pow2,0.146432,146.43200000000002 +32768,6,scan,scan_cpu_pow2,0.0141,14.1 +32768,6,scan,scan_cpu_non_pow2,0.0131,13.100000000000001 +32768,6,scan,scan_naive_pow2,0.488864,488.86400000000003 +32768,6,scan,scan_naive_non_pow2,0.31312,313.12 +32768,6,scan,scan_work_efficient_pow2,0.17968,179.68 +32768,6,scan,scan_work_efficient_non_pow2,0.052256,52.256 +32768,6,scan,scan_thrust_pow2,0.105472,105.472 +32768,6,scan,scan_thrust_non_pow2,0.044032,44.032000000000004 +32768,6,compact,compact_cpu_without_scan_pow2,0.0581,58.1 +32768,6,compact,compact_cpu_without_scan_non_pow2,0.0544,54.4 +32768,6,compact,compact_cpu_with_scan,0.1183,118.3 +32768,6,compact,compact_work_efficient_pow2,0.18912,189.12 +32768,6,compact,compact_work_efficient_non_pow2,0.108544,108.544 +32768,7,scan,scan_cpu_pow2,0.0173,17.3 +32768,7,scan,scan_cpu_non_pow2,0.0166,16.6 +32768,7,scan,scan_naive_pow2,0.491584,491.584 +32768,7,scan,scan_naive_non_pow2,0.354208,354.208 +32768,7,scan,scan_work_efficient_pow2,0.213728,213.728 +32768,7,scan,scan_work_efficient_non_pow2,0.06144,61.440000000000005 +32768,7,scan,scan_thrust_pow2,0.110592,110.592 +32768,7,scan,scan_thrust_non_pow2,0.059392,59.392 +32768,7,compact,compact_cpu_without_scan_pow2,0.0707,70.7 +32768,7,compact,compact_cpu_without_scan_non_pow2,0.0709,70.9 +32768,7,compact,compact_cpu_with_scan,0.1106,110.60000000000001 +32768,7,compact,compact_work_efficient_pow2,0.221376,221.37599999999998 +32768,7,compact,compact_work_efficient_non_pow2,0.101376,101.37599999999999 +32768,8,scan,scan_cpu_pow2,0.0144,14.4 +32768,8,scan,scan_cpu_non_pow2,0.0131,13.100000000000001 +32768,8,scan,scan_naive_pow2,0.482304,482.30400000000003 +32768,8,scan,scan_naive_non_pow2,0.740416,740.4159999999999 +32768,8,scan,scan_work_efficient_pow2,0.220768,220.768 +32768,8,scan,scan_work_efficient_non_pow2,0.053248,53.248 +32768,8,scan,scan_thrust_pow2,0.118784,118.784 +32768,8,scan,scan_thrust_non_pow2,0.050112,50.111999999999995 +32768,8,compact,compact_cpu_without_scan_pow2,0.0594,59.4 +32768,8,compact,compact_cpu_without_scan_non_pow2,0.0588,58.8 +32768,8,compact,compact_cpu_with_scan,0.1067,106.7 +32768,8,compact,compact_work_efficient_pow2,0.209408,209.40800000000002 +32768,8,compact,compact_work_efficient_non_pow2,0.078848,78.848 +32768,9,scan,scan_cpu_pow2,0.0136,13.6 +32768,9,scan,scan_cpu_non_pow2,0.0119,11.9 +32768,9,scan,scan_naive_pow2,0.38848,388.48 +32768,9,scan,scan_naive_non_pow2,0.322016,322.016 +32768,9,scan,scan_work_efficient_pow2,0.191776,191.776 +32768,9,scan,scan_work_efficient_non_pow2,0.078848,78.848 +32768,9,scan,scan_thrust_pow2,0.146432,146.43200000000002 +32768,9,scan,scan_thrust_non_pow2,0.044032,44.032000000000004 +32768,9,compact,compact_cpu_without_scan_pow2,0.0654,65.4 +32768,9,compact,compact_cpu_without_scan_non_pow2,0.055,55.0 +32768,9,compact,compact_cpu_with_scan,0.1108,110.8 +32768,9,compact,compact_work_efficient_pow2,0.208832,208.832 +32768,9,compact,compact_work_efficient_non_pow2,0.180224,180.224 +32768,10,scan,scan_cpu_pow2,0.0167,16.7 +32768,10,scan,scan_cpu_non_pow2,0.0159,15.9 +32768,10,scan,scan_naive_pow2,0.396736,396.736 +32768,10,scan,scan_naive_non_pow2,0.366464,366.464 +32768,10,scan,scan_work_efficient_pow2,0.218144,218.144 +32768,10,scan,scan_work_efficient_non_pow2,0.063488,63.488 +32768,10,scan,scan_thrust_pow2,0.146432,146.43200000000002 +32768,10,scan,scan_thrust_non_pow2,0.04096,40.96 +32768,10,compact,compact_cpu_without_scan_pow2,0.0724,72.4 +32768,10,compact,compact_cpu_without_scan_non_pow2,0.067,67.0 +32768,10,compact,compact_cpu_with_scan,0.1376,137.6 +32768,10,compact,compact_work_efficient_pow2,0.260352,260.352 +32768,10,compact,compact_work_efficient_non_pow2,0.074752,74.752 +16384,1,scan,scan_cpu_pow2,0.0082,8.200000000000001 +16384,1,scan,scan_cpu_non_pow2,0.0076,7.6 +16384,1,scan,scan_naive_pow2,0.385024,385.024 +16384,1,scan,scan_naive_non_pow2,0.301056,301.056 +16384,1,scan,scan_work_efficient_pow2,0.171008,171.00799999999998 +16384,1,scan,scan_work_efficient_non_pow2,0.072736,72.73599999999999 +16384,1,scan,scan_thrust_pow2,0.108544,108.544 +16384,1,scan,scan_thrust_non_pow2,0.05632,56.32 +16384,1,compact,compact_cpu_without_scan_pow2,0.0299,29.9 +16384,1,compact,compact_cpu_without_scan_non_pow2,0.0262,26.200000000000003 +16384,1,compact,compact_cpu_with_scan,0.0611,61.1 +16384,1,compact,compact_work_efficient_pow2,0.182272,182.272 +16384,1,compact,compact_work_efficient_non_pow2,0.142336,142.33599999999998 +16384,2,scan,scan_cpu_pow2,0.0073,7.3 +16384,2,scan,scan_cpu_non_pow2,0.0069,6.8999999999999995 +16384,2,scan,scan_naive_pow2,0.425984,425.984 +16384,2,scan,scan_naive_non_pow2,0.314368,314.368 +16384,2,scan,scan_work_efficient_pow2,0.187392,187.392 +16384,2,scan,scan_work_efficient_non_pow2,0.052256,52.256 +16384,2,scan,scan_thrust_pow2,0.10752,107.52000000000001 +16384,2,scan,scan_thrust_non_pow2,0.050176,50.176 +16384,2,compact,compact_cpu_without_scan_pow2,0.0377,37.699999999999996 +16384,2,compact,compact_cpu_without_scan_non_pow2,0.0319,31.9 +16384,2,compact,compact_cpu_with_scan,0.0798,79.8 +16384,2,compact,compact_work_efficient_pow2,0.173056,173.05599999999998 +16384,2,compact,compact_work_efficient_non_pow2,0.091136,91.136 +16384,3,scan,scan_cpu_pow2,0.0071,7.1000000000000005 +16384,3,scan,scan_cpu_non_pow2,0.007,7.0 +16384,3,scan,scan_naive_pow2,0.976896,976.896 +16384,3,scan,scan_naive_non_pow2,0.270336,270.336 +16384,3,scan,scan_work_efficient_pow2,0.748544,748.544 +16384,3,scan,scan_work_efficient_non_pow2,0.095232,95.232 +16384,3,scan,scan_thrust_pow2,0.10752,107.52000000000001 +16384,3,scan,scan_thrust_non_pow2,0.047104,47.104 +16384,3,compact,compact_cpu_without_scan_pow2,0.0301,30.099999999999998 +16384,3,compact,compact_cpu_without_scan_non_pow2,0.0295,29.5 +16384,3,compact,compact_cpu_with_scan,0.0595,59.5 +16384,3,compact,compact_work_efficient_pow2,0.168,168.0 +16384,3,compact,compact_work_efficient_non_pow2,0.144384,144.38400000000001 +16384,4,scan,scan_cpu_pow2,0.0081,8.1 +16384,4,scan,scan_cpu_non_pow2,0.0076,7.6 +16384,4,scan,scan_naive_pow2,0.369664,369.664 +16384,4,scan,scan_naive_non_pow2,0.251904,251.90400000000002 +16384,4,scan,scan_work_efficient_pow2,0.158752,158.752 +16384,4,scan,scan_work_efficient_non_pow2,0.0512,51.2 +16384,4,scan,scan_thrust_pow2,0.098304,98.304 +16384,4,scan,scan_thrust_non_pow2,0.0512,51.2 +16384,4,compact,compact_cpu_without_scan_pow2,0.0377,37.699999999999996 +16384,4,compact,compact_cpu_without_scan_non_pow2,0.0349,34.9 +16384,4,compact,compact_cpu_with_scan,0.0776,77.60000000000001 +16384,4,compact,compact_work_efficient_pow2,0.165888,165.888 +16384,4,compact,compact_work_efficient_non_pow2,0.113664,113.664 +16384,5,scan,scan_cpu_pow2,0.0079,7.9 +16384,5,scan,scan_cpu_non_pow2,0.0061,6.1000000000000005 +16384,5,scan,scan_naive_pow2,1.00147,1001.47 +16384,5,scan,scan_naive_non_pow2,0.297984,297.98400000000004 +16384,5,scan,scan_work_efficient_pow2,0.151552,151.552 +16384,5,scan,scan_work_efficient_non_pow2,0.086016,86.01599999999999 +16384,5,scan,scan_thrust_pow2,0.108544,108.544 +16384,5,scan,scan_thrust_non_pow2,0.082944,82.944 +16384,5,compact,compact_cpu_without_scan_pow2,0.0302,30.200000000000003 +16384,5,compact,compact_cpu_without_scan_non_pow2,0.0263,26.3 +16384,5,compact,compact_cpu_with_scan,0.1034,103.4 +16384,5,compact,compact_work_efficient_pow2,0.141312,141.31199999999998 +16384,5,compact,compact_work_efficient_non_pow2,0.136192,136.192 +16384,6,scan,scan_cpu_pow2,0.0083,8.3 +16384,6,scan,scan_cpu_non_pow2,0.0074,7.4 +16384,6,scan,scan_naive_pow2,0.386048,386.048 +16384,6,scan,scan_naive_non_pow2,0.280576,280.57599999999996 +16384,6,scan,scan_work_efficient_pow2,0.124928,124.928 +16384,6,scan,scan_work_efficient_non_pow2,0.0512,51.2 +16384,6,scan,scan_thrust_pow2,0.13312,133.11999999999998 +16384,6,scan,scan_thrust_non_pow2,0.050176,50.176 +16384,6,compact,compact_cpu_without_scan_pow2,0.0418,41.8 +16384,6,compact,compact_cpu_without_scan_non_pow2,0.0351,35.1 +16384,6,compact,compact_cpu_with_scan,0.0744,74.39999999999999 +16384,6,compact,compact_work_efficient_pow2,0.164864,164.864 +16384,6,compact,compact_work_efficient_non_pow2,0.125952,125.95200000000001 +16384,7,scan,scan_cpu_pow2,0.0079,7.9 +16384,7,scan,scan_cpu_non_pow2,0.0076,7.6 +16384,7,scan,scan_naive_pow2,0.413696,413.696 +16384,7,scan,scan_naive_non_pow2,0.251008,251.008 +16384,7,scan,scan_work_efficient_pow2,0.178176,178.176 +16384,7,scan,scan_work_efficient_non_pow2,0.0512,51.2 +16384,7,scan,scan_thrust_pow2,0.150528,150.528 +16384,7,scan,scan_thrust_non_pow2,0.108544,108.544 +16384,7,compact,compact_cpu_without_scan_pow2,0.0309,30.900000000000002 +16384,7,compact,compact_cpu_without_scan_non_pow2,0.0277,27.7 +16384,7,compact,compact_cpu_with_scan,0.0567,56.7 +16384,7,compact,compact_work_efficient_pow2,0.171008,171.00799999999998 +16384,7,compact,compact_work_efficient_non_pow2,0.096256,96.256 +16384,8,scan,scan_cpu_pow2,0.0066,6.6 +16384,8,scan,scan_cpu_non_pow2,0.0061,6.1000000000000005 +16384,8,scan,scan_naive_pow2,0.473088,473.088 +16384,8,scan,scan_naive_non_pow2,0.351232,351.23199999999997 +16384,8,scan,scan_work_efficient_pow2,0.131072,131.072 +16384,8,scan,scan_work_efficient_non_pow2,0.075776,75.776 +16384,8,scan,scan_thrust_pow2,0.130048,130.048 +16384,8,scan,scan_thrust_non_pow2,0.047104,47.104 +16384,8,compact,compact_cpu_without_scan_pow2,0.0388,38.800000000000004 +16384,8,compact,compact_cpu_without_scan_non_pow2,0.0354,35.4 +16384,8,compact,compact_cpu_with_scan,0.0739,73.89999999999999 +16384,8,compact,compact_work_efficient_pow2,0.149504,149.504 +16384,8,compact,compact_work_efficient_non_pow2,0.075776,75.776 +16384,9,scan,scan_cpu_pow2,0.008,8.0 +16384,9,scan,scan_cpu_non_pow2,0.0114,11.4 +16384,9,scan,scan_naive_pow2,0.366592,366.592 +16384,9,scan,scan_naive_non_pow2,0.377856,377.85600000000005 +16384,9,scan,scan_work_efficient_pow2,0.18944,189.44 +16384,9,scan,scan_work_efficient_non_pow2,0.060416,60.416 +16384,9,scan,scan_thrust_pow2,0.106496,106.496 +16384,9,scan,scan_thrust_non_pow2,0.055296,55.296 +16384,9,compact,compact_cpu_without_scan_pow2,0.0307,30.700000000000003 +16384,9,compact,compact_cpu_without_scan_non_pow2,0.0278,27.799999999999997 +16384,9,compact,compact_cpu_with_scan,0.0614,61.400000000000006 +16384,9,compact,compact_work_efficient_pow2,0.170048,170.048 +16384,9,compact,compact_work_efficient_non_pow2,0.145408,145.40800000000002 +16384,10,scan,scan_cpu_pow2,0.0082,8.200000000000001 +16384,10,scan,scan_cpu_non_pow2,0.0076,7.6 +16384,10,scan,scan_naive_pow2,0.996352,996.352 +16384,10,scan,scan_naive_non_pow2,0.301056,301.056 +16384,10,scan,scan_work_efficient_pow2,0.15872,158.72 +16384,10,scan,scan_work_efficient_non_pow2,0.050272,50.272 +16384,10,scan,scan_thrust_pow2,0.10752,107.52000000000001 +16384,10,scan,scan_thrust_non_pow2,0.04608,46.080000000000005 +16384,10,compact,compact_cpu_without_scan_pow2,0.0311,31.099999999999998 +16384,10,compact,compact_cpu_without_scan_non_pow2,0.0265,26.5 +16384,10,compact,compact_cpu_with_scan,0.0571,57.1 +16384,10,compact,compact_work_efficient_pow2,0.157696,157.696 +16384,10,compact,compact_work_efficient_non_pow2,0.14336,143.35999999999999 +8192,1,scan,scan_cpu_pow2,0.0043,4.3 +8192,1,scan,scan_cpu_non_pow2,0.0039,3.9 +8192,1,scan,scan_naive_pow2,0.315392,315.392 +8192,1,scan,scan_naive_non_pow2,0.234496,234.496 +8192,1,scan,scan_work_efficient_pow2,0.186368,186.368 +8192,1,scan,scan_work_efficient_non_pow2,0.052224,52.224 +8192,1,scan,scan_thrust_pow2,0.11776,117.76 +8192,1,scan,scan_thrust_non_pow2,0.048128,48.128 +8192,1,compact,compact_cpu_without_scan_pow2,0.0184,18.4 +8192,1,compact,compact_cpu_without_scan_non_pow2,0.013,13.0 +8192,1,compact,compact_cpu_with_scan,0.0331,33.099999999999994 +8192,1,compact,compact_work_efficient_pow2,0.22016,220.16 +8192,1,compact,compact_work_efficient_non_pow2,0.10752,107.52000000000001 +8192,2,scan,scan_cpu_pow2,0.004,4.0 +8192,2,scan,scan_cpu_non_pow2,0.0031,3.1 +8192,2,scan,scan_naive_pow2,0.350208,350.208 +8192,2,scan,scan_naive_non_pow2,0.226304,226.304 +8192,2,scan,scan_work_efficient_pow2,0.208896,208.896 +8192,2,scan,scan_work_efficient_non_pow2,0.050176,50.176 +8192,2,scan,scan_thrust_pow2,0.101376,101.37599999999999 +8192,2,scan,scan_thrust_non_pow2,0.058368,58.368 +8192,2,compact,compact_cpu_without_scan_pow2,0.015,15.0 +8192,2,compact,compact_cpu_without_scan_non_pow2,0.011,11.0 +8192,2,compact,compact_cpu_with_scan,0.0261,26.1 +8192,2,compact,compact_work_efficient_pow2,0.181248,181.248 +8192,2,compact,compact_work_efficient_non_pow2,0.147456,147.45600000000002 +8192,3,scan,scan_cpu_pow2,0.0039,3.9 +8192,3,scan,scan_cpu_non_pow2,0.0034,3.4 +8192,3,scan,scan_naive_pow2,0.93696,936.96 +8192,3,scan,scan_naive_non_pow2,0.306176,306.176 +8192,3,scan,scan_work_efficient_pow2,0.13312,133.11999999999998 +8192,3,scan,scan_work_efficient_non_pow2,0.053312,53.312 +8192,3,scan,scan_thrust_pow2,0.124928,124.928 +8192,3,scan,scan_thrust_non_pow2,0.039936,39.936 +8192,3,compact,compact_cpu_without_scan_pow2,0.0153,15.299999999999999 +8192,3,compact,compact_cpu_without_scan_non_pow2,0.0107,10.7 +8192,3,compact,compact_cpu_with_scan,0.0266,26.599999999999998 +8192,3,compact,compact_work_efficient_pow2,0.161792,161.792 +8192,3,compact,compact_work_efficient_non_pow2,0.11264,112.64 +8192,4,scan,scan_cpu_pow2,0.0046,4.6 +8192,4,scan,scan_cpu_non_pow2,0.0038,3.8 +8192,4,scan,scan_naive_pow2,0.443392,443.392 +8192,4,scan,scan_naive_non_pow2,0.247808,247.808 +8192,4,scan,scan_work_efficient_pow2,0.178176,178.176 +8192,4,scan,scan_work_efficient_non_pow2,0.06656,66.55999999999999 +8192,4,scan,scan_thrust_pow2,0.144384,144.38400000000001 +8192,4,scan,scan_thrust_non_pow2,0.04608,46.080000000000005 +8192,4,compact,compact_cpu_without_scan_pow2,0.0157,15.7 +8192,4,compact,compact_cpu_without_scan_non_pow2,0.0111,11.1 +8192,4,compact,compact_cpu_with_scan,0.0268,26.8 +8192,4,compact,compact_work_efficient_pow2,0.159744,159.744 +8192,4,compact,compact_work_efficient_non_pow2,0.123904,123.904 +8192,5,scan,scan_cpu_pow2,0.0034,3.4 +8192,5,scan,scan_cpu_non_pow2,0.0035,3.5 +8192,5,scan,scan_naive_pow2,0.387072,387.072 +8192,5,scan,scan_naive_non_pow2,0.270336,270.336 +8192,5,scan,scan_work_efficient_pow2,0.173056,173.05599999999998 +8192,5,scan,scan_work_efficient_non_pow2,0.058368,58.368 +8192,5,scan,scan_thrust_pow2,0.118784,118.784 +8192,5,scan,scan_thrust_non_pow2,0.047104,47.104 +8192,5,compact,compact_cpu_without_scan_pow2,0.0153,15.299999999999999 +8192,5,compact,compact_cpu_without_scan_non_pow2,0.0107,10.7 +8192,5,compact,compact_cpu_with_scan,0.0265,26.5 +8192,5,compact,compact_work_efficient_pow2,0.169984,169.984 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+8192,7,scan,scan_work_efficient_pow2,0.150528,150.528 +8192,7,scan,scan_work_efficient_non_pow2,0.08704,87.04 +8192,7,scan,scan_thrust_pow2,0.109568,109.568 +8192,7,scan,scan_thrust_non_pow2,0.049152,49.152 +8192,7,compact,compact_cpu_without_scan_pow2,0.0153,15.299999999999999 +8192,7,compact,compact_cpu_without_scan_non_pow2,0.0105,10.5 +8192,7,compact,compact_cpu_with_scan,0.0273,27.3 +8192,7,compact,compact_work_efficient_pow2,0.690176,690.176 +8192,7,compact,compact_work_efficient_non_pow2,0.074752,74.752 +8192,8,scan,scan_cpu_pow2,0.0044,4.4 +8192,8,scan,scan_cpu_non_pow2,0.0038,3.8 +8192,8,scan,scan_naive_pow2,0.345088,345.088 +8192,8,scan,scan_naive_non_pow2,0.325632,325.632 +8192,8,scan,scan_work_efficient_pow2,0.131072,131.072 +8192,8,scan,scan_work_efficient_non_pow2,0.0512,51.2 +8192,8,scan,scan_thrust_pow2,0.126976,126.976 +8192,8,scan,scan_thrust_non_pow2,0.045056,45.056 +8192,8,compact,compact_cpu_without_scan_pow2,0.0152,15.2 +8192,8,compact,compact_cpu_without_scan_non_pow2,0.0104,10.4 +8192,8,compact,compact_cpu_with_scan,0.0265,26.5 +8192,8,compact,compact_work_efficient_pow2,0.216064,216.064 +8192,8,compact,compact_work_efficient_non_pow2,0.073728,73.72800000000001 +8192,9,scan,scan_cpu_pow2,0.0042,4.2 +8192,9,scan,scan_cpu_non_pow2,0.0039,3.9 +8192,9,scan,scan_naive_pow2,0.342016,342.01599999999996 +8192,9,scan,scan_naive_non_pow2,0.233472,233.472 +8192,9,scan,scan_work_efficient_pow2,0.132096,132.096 +8192,9,scan,scan_work_efficient_non_pow2,0.08704,87.04 +8192,9,scan,scan_thrust_pow2,0.187392,187.392 +8192,9,scan,scan_thrust_non_pow2,0.045056,45.056 +8192,9,compact,compact_cpu_without_scan_pow2,0.0155,15.5 +8192,9,compact,compact_cpu_without_scan_non_pow2,0.0105,10.5 +8192,9,compact,compact_cpu_with_scan,0.0268,26.8 +8192,9,compact,compact_work_efficient_pow2,0.18944,189.44 +8192,9,compact,compact_work_efficient_non_pow2,0.139264,139.264 +8192,10,scan,scan_cpu_pow2,0.0037,3.7 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+4096,9,compact,compact_cpu_with_scan,0.0153,15.299999999999999 +4096,9,compact,compact_work_efficient_pow2,0.212992,212.992 +4096,9,compact,compact_work_efficient_non_pow2,0.098304,98.304 +4096,10,scan,scan_cpu_pow2,0.0022,2.2 +4096,10,scan,scan_cpu_non_pow2,0.0016,1.6 +4096,10,scan,scan_naive_pow2,0.340992,340.992 +4096,10,scan,scan_naive_non_pow2,0.26112,261.12 +4096,10,scan,scan_work_efficient_pow2,0.157696,157.696 +4096,10,scan,scan_work_efficient_non_pow2,0.086016,86.01599999999999 +4096,10,scan,scan_thrust_pow2,0.100288,100.288 +4096,10,scan,scan_thrust_non_pow2,0.057344,57.344 +4096,10,compact,compact_cpu_without_scan_pow2,0.008,8.0 +4096,10,compact,compact_cpu_without_scan_non_pow2,0.0045,4.5 +4096,10,compact,compact_cpu_with_scan,0.015,15.0 +4096,10,compact,compact_work_efficient_pow2,0.200704,200.704 +4096,10,compact,compact_work_efficient_non_pow2,0.114688,114.688 +2048,1,scan,scan_cpu_pow2,0.0014,1.4 +2048,1,scan,scan_cpu_non_pow2,0.001,1.0 +2048,1,scan,scan_naive_pow2,0.385088,385.08799999999997 +2048,1,scan,scan_naive_non_pow2,0.299008,299.008 +2048,1,scan,scan_work_efficient_pow2,0.12288,122.88000000000001 +2048,1,scan,scan_work_efficient_non_pow2,0.083968,83.968 +2048,1,scan,scan_thrust_pow2,0.11264,112.64 +2048,1,scan,scan_thrust_non_pow2,0.045056,45.056 +2048,1,compact,compact_cpu_without_scan_pow2,0.0041,4.1000000000000005 +2048,1,compact,compact_cpu_without_scan_non_pow2,0.0023,2.3 +2048,1,compact,compact_cpu_with_scan,0.0108,10.8 +2048,1,compact,compact_work_efficient_pow2,0.186368,186.368 +2048,1,compact,compact_work_efficient_non_pow2,0.099328,99.328 +2048,2,scan,scan_cpu_pow2,0.0015,1.5 +2048,2,scan,scan_cpu_non_pow2,0.001,1.0 +2048,2,scan,scan_naive_pow2,0.953344,953.3439999999999 +2048,2,scan,scan_naive_non_pow2,0.288768,288.76800000000003 +2048,2,scan,scan_work_efficient_pow2,0.196608,196.608 +2048,2,scan,scan_work_efficient_non_pow2,0.053248,53.248 +2048,2,scan,scan_thrust_pow2,0.116736,116.736 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+1024,2,scan,scan_work_efficient_pow2,0.178176,178.176 +1024,2,scan,scan_work_efficient_non_pow2,0.08704,87.04 +1024,2,scan,scan_thrust_pow2,0.128,128.0 +1024,2,scan,scan_thrust_non_pow2,0.041984,41.984 +1024,2,compact,compact_cpu_without_scan_pow2,0.0022,2.2 +1024,2,compact,compact_cpu_without_scan_non_pow2,0.0011,1.1 +1024,2,compact,compact_cpu_with_scan,0.0031,3.1 +1024,2,compact,compact_work_efficient_pow2,0.141312,141.31199999999998 +1024,2,compact,compact_work_efficient_non_pow2,0.0768,76.8 +1024,3,scan,scan_cpu_pow2,0.0009,0.9 +1024,3,scan,scan_cpu_non_pow2,0.0006,0.6 +1024,3,scan,scan_naive_pow2,0.406528,406.528 +1024,3,scan,scan_naive_non_pow2,0.272384,272.384 +1024,3,scan,scan_work_efficient_pow2,0.152576,152.576 +1024,3,scan,scan_work_efficient_non_pow2,0.084992,84.992 +1024,3,scan,scan_thrust_pow2,0.123904,123.904 +1024,3,scan,scan_thrust_non_pow2,0.055296,55.296 +1024,3,compact,compact_cpu_without_scan_pow2,0.0028,2.8 +1024,3,compact,compact_cpu_without_scan_non_pow2,0.0013,1.3 +1024,3,compact,compact_cpu_with_scan,0.0035,3.5 +1024,3,compact,compact_work_efficient_pow2,0.182272,182.272 +1024,3,compact,compact_work_efficient_non_pow2,0.109568,109.568 +1024,4,scan,scan_cpu_pow2,0.0009,0.9 +1024,4,scan,scan_cpu_non_pow2,0.0005,0.5 +1024,4,scan,scan_naive_pow2,0.326656,326.656 +1024,4,scan,scan_naive_non_pow2,0.201728,201.72799999999998 +1024,4,scan,scan_work_efficient_pow2,0.154624,154.62400000000002 +1024,4,scan,scan_work_efficient_non_pow2,0.08192,81.92 +1024,4,scan,scan_thrust_pow2,0.10656,106.56 +1024,4,scan,scan_thrust_non_pow2,0.04816,48.160000000000004 +1024,4,compact,compact_cpu_without_scan_pow2,0.0028,2.8 +1024,4,compact,compact_cpu_without_scan_non_pow2,0.0014,1.4 +1024,4,compact,compact_cpu_with_scan,0.0034,3.4 +1024,4,compact,compact_work_efficient_pow2,0.220192,220.192 +1024,4,compact,compact_work_efficient_non_pow2,0.074752,74.752 +1024,5,scan,scan_cpu_pow2,0.0008,0.8 +1024,5,scan,scan_cpu_non_pow2,0.0004,0.4 +1024,5,scan,scan_naive_pow2,0.447488,447.488 +1024,5,scan,scan_naive_non_pow2,0.259072,259.072 +1024,5,scan,scan_work_efficient_pow2,0.160768,160.768 +1024,5,scan,scan_work_efficient_non_pow2,0.06144,61.440000000000005 +1024,5,scan,scan_thrust_pow2,0.131008,131.008 +1024,5,scan,scan_thrust_non_pow2,0.04608,46.080000000000005 +1024,5,compact,compact_cpu_without_scan_pow2,0.0021,2.1 +1024,5,compact,compact_cpu_without_scan_non_pow2,0.001,1.0 +1024,5,compact,compact_cpu_with_scan,0.0026,2.6 +1024,5,compact,compact_work_efficient_pow2,0.216064,216.064 +1024,5,compact,compact_work_efficient_non_pow2,0.074752,74.752 +1024,6,scan,scan_cpu_pow2,0.0011,1.1 +1024,6,scan,scan_cpu_non_pow2,0.0004,0.4 +1024,6,scan,scan_naive_pow2,0.35328,353.28 +1024,6,scan,scan_naive_non_pow2,0.201728,201.72799999999998 +1024,6,scan,scan_work_efficient_pow2,0.177152,177.15200000000002 +1024,6,scan,scan_work_efficient_non_pow2,0.08192,81.92 +1024,6,scan,scan_thrust_pow2,0.125952,125.95200000000001 +1024,6,scan,scan_thrust_non_pow2,0.041984,41.984 +1024,6,compact,compact_cpu_without_scan_pow2,0.0023,2.3 +1024,6,compact,compact_cpu_without_scan_non_pow2,0.0011,1.1 +1024,6,compact,compact_cpu_with_scan,0.0029,2.9 +1024,6,compact,compact_work_efficient_pow2,0.17408,174.08 +1024,6,compact,compact_work_efficient_non_pow2,0.10752,107.52000000000001 +1024,7,scan,scan_cpu_pow2,0.0015,1.5 +1024,7,scan,scan_cpu_non_pow2,0.0005,0.5 +1024,7,scan,scan_naive_pow2,0.349184,349.18399999999997 +1024,7,scan,scan_naive_non_pow2,0.221184,221.184 +1024,7,scan,scan_work_efficient_pow2,0.259072,259.072 +1024,7,scan,scan_work_efficient_non_pow2,0.124928,124.928 +1024,7,scan,scan_thrust_pow2,0.121792,121.792 +1024,7,scan,scan_thrust_non_pow2,0.043008,43.007999999999996 +1024,7,compact,compact_cpu_without_scan_pow2,0.0021,2.1 +1024,7,compact,compact_cpu_without_scan_non_pow2,0.0009,0.9 +1024,7,compact,compact_cpu_with_scan,0.0027,2.7 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+1024,9,scan,scan_work_efficient_pow2,0.156672,156.672 +1024,9,scan,scan_work_efficient_non_pow2,0.086016,86.01599999999999 +1024,9,scan,scan_thrust_pow2,0.149504,149.504 +1024,9,scan,scan_thrust_non_pow2,0.045056,45.056 +1024,9,compact,compact_cpu_without_scan_pow2,0.0019,1.9 +1024,9,compact,compact_cpu_without_scan_non_pow2,0.001,1.0 +1024,9,compact,compact_cpu_with_scan,0.0028,2.8 +1024,9,compact,compact_work_efficient_pow2,0.175104,175.104 +1024,9,compact,compact_work_efficient_non_pow2,0.125952,125.95200000000001 +1024,10,scan,scan_cpu_pow2,0.0008,0.8 +1024,10,scan,scan_cpu_non_pow2,0.0005,0.5 +1024,10,scan,scan_naive_pow2,0.754688,754.688 +1024,10,scan,scan_naive_non_pow2,0.1792,179.2 +1024,10,scan,scan_work_efficient_pow2,0.156704,156.704 +1024,10,scan,scan_work_efficient_non_pow2,0.049184,49.184 +1024,10,scan,scan_thrust_pow2,0.116736,116.736 +1024,10,scan,scan_thrust_non_pow2,0.04608,46.080000000000005 +1024,10,compact,compact_cpu_without_scan_pow2,0.0022,2.2 +1024,10,compact,compact_cpu_without_scan_non_pow2,0.0011,1.1 +1024,10,compact,compact_cpu_with_scan,0.0028,2.8 +1024,10,compact,compact_work_efficient_pow2,0.195584,195.584 +1024,10,compact,compact_work_efficient_non_pow2,0.109568,109.568 +512,1,scan,scan_cpu_pow2,0.0006,0.6 +512,1,scan,scan_cpu_non_pow2,0.0003,0.3 +512,1,scan,scan_naive_pow2,0.293888,293.888 +512,1,scan,scan_naive_non_pow2,0.180224,180.224 +512,1,scan,scan_work_efficient_pow2,0.108544,108.544 +512,1,scan,scan_work_efficient_non_pow2,0.016384,16.384 +512,1,scan,scan_thrust_pow2,0.120832,120.832 +512,1,scan,scan_thrust_non_pow2,0.077824,77.824 +512,1,compact,compact_cpu_without_scan_pow2,0.0012,1.2 +512,1,compact,compact_cpu_without_scan_non_pow2,0.0006,0.6 +512,1,compact,compact_cpu_with_scan,0.0013,1.3 +512,1,compact,compact_work_efficient_pow2,0.134144,134.144 +512,1,compact,compact_work_efficient_non_pow2,0.0512,51.2 +512,2,scan,scan_cpu_pow2,0.0007,0.7 +512,2,scan,scan_cpu_non_pow2,0.0003,0.3 +512,2,scan,scan_naive_pow2,0.297984,297.98400000000004 +512,2,scan,scan_naive_non_pow2,0.192512,192.512 +512,2,scan,scan_work_efficient_pow2,0.063488,63.488 +512,2,scan,scan_work_efficient_non_pow2,0.027648,27.648 +512,2,scan,scan_thrust_pow2,0.101376,101.37599999999999 +512,2,scan,scan_thrust_non_pow2,0.045056,45.056 +512,2,compact,compact_cpu_without_scan_pow2,0.0011,1.1 +512,2,compact,compact_cpu_without_scan_non_pow2,0.0005,0.5 +512,2,compact,compact_cpu_with_scan,0.0013,1.3 +512,2,compact,compact_work_efficient_pow2,0.113664,113.664 +512,2,compact,compact_work_efficient_non_pow2,0.082944,82.944 +512,3,scan,scan_cpu_pow2,0.0007,0.7 +512,3,scan,scan_cpu_non_pow2,0.0004,0.4 +512,3,scan,scan_naive_pow2,0.315392,315.392 +512,3,scan,scan_naive_non_pow2,0.188416,188.416 +512,3,scan,scan_work_efficient_pow2,0.080896,80.896 +512,3,scan,scan_work_efficient_non_pow2,0.016384,16.384 +512,3,scan,scan_thrust_pow2,0.11776,117.76 +512,3,scan,scan_thrust_non_pow2,0.041984,41.984 +512,3,compact,compact_cpu_without_scan_pow2,0.0013,1.3 +512,3,compact,compact_cpu_without_scan_non_pow2,0.0006,0.6 +512,3,compact,compact_cpu_with_scan,0.0016,1.6 +512,3,compact,compact_work_efficient_pow2,0.113664,113.664 +512,3,compact,compact_work_efficient_non_pow2,0.093184,93.184 +512,4,scan,scan_cpu_pow2,0.0006,0.6 +512,4,scan,scan_cpu_non_pow2,0.0003,0.3 +512,4,scan,scan_naive_pow2,0.3072,307.2 +512,4,scan,scan_naive_non_pow2,0.233472,233.472 +512,4,scan,scan_work_efficient_pow2,0.067584,67.584 +512,4,scan,scan_work_efficient_non_pow2,0.024576,24.576 +512,4,scan,scan_thrust_pow2,0.108544,108.544 +512,4,scan,scan_thrust_non_pow2,0.041984,41.984 +512,4,compact,compact_cpu_without_scan_pow2,0.0013,1.3 +512,4,compact,compact_cpu_without_scan_non_pow2,0.0006,0.6 +512,4,compact,compact_cpu_with_scan,0.0017,1.7 +512,4,compact,compact_work_efficient_pow2,0.156672,156.672 +512,4,compact,compact_work_efficient_non_pow2,0.08704,87.04 +512,5,scan,scan_cpu_pow2,0.001,1.0 +512,5,scan,scan_cpu_non_pow2,0.0003,0.3 +512,5,scan,scan_naive_pow2,0.325632,325.632 +512,5,scan,scan_naive_non_pow2,0.23552,235.52 +512,5,scan,scan_work_efficient_pow2,0.099328,99.328 +512,5,scan,scan_work_efficient_non_pow2,0.017408,17.408 +512,5,scan,scan_thrust_pow2,0.124928,124.928 +512,5,scan,scan_thrust_non_pow2,0.047168,47.168 +512,5,compact,compact_cpu_without_scan_pow2,0.0012,1.2 +512,5,compact,compact_cpu_without_scan_non_pow2,0.0006,0.6 +512,5,compact,compact_cpu_with_scan,0.0015,1.5 +512,5,compact,compact_work_efficient_pow2,0.10752,107.52000000000001 +512,5,compact,compact_work_efficient_non_pow2,0.089088,89.088 +512,6,scan,scan_cpu_pow2,0.0007,0.7 +512,6,scan,scan_cpu_non_pow2,0.0003,0.3 +512,6,scan,scan_naive_pow2,0.27648,276.48 +512,6,scan,scan_naive_non_pow2,0.253952,253.952 +512,6,scan,scan_work_efficient_pow2,0.099328,99.328 +512,6,scan,scan_work_efficient_non_pow2,0.033792,33.792 +512,6,scan,scan_thrust_pow2,0.152576,152.576 +512,6,scan,scan_thrust_non_pow2,0.043104,43.104000000000006 +512,6,compact,compact_cpu_without_scan_pow2,0.0015,1.5 +512,6,compact,compact_cpu_without_scan_non_pow2,0.0007,0.7 +512,6,compact,compact_cpu_with_scan,0.0019,1.9 +512,6,compact,compact_work_efficient_pow2,0.146432,146.43200000000002 +512,6,compact,compact_work_efficient_non_pow2,0.0512,51.2 +512,7,scan,scan_cpu_pow2,0.0007,0.7 +512,7,scan,scan_cpu_non_pow2,0.0003,0.3 +512,7,scan,scan_naive_pow2,1.02605,1026.05 +512,7,scan,scan_naive_non_pow2,0.19968,199.68 +512,7,scan,scan_work_efficient_pow2,0.090112,90.112 +512,7,scan,scan_work_efficient_non_pow2,0.017408,17.408 +512,7,scan,scan_thrust_pow2,0.126976,126.976 +512,7,scan,scan_thrust_non_pow2,0.045056,45.056 +512,7,compact,compact_cpu_without_scan_pow2,0.0013,1.3 +512,7,compact,compact_cpu_without_scan_non_pow2,0.0005,0.5 +512,7,compact,compact_cpu_with_scan,0.0015,1.5 +512,7,compact,compact_work_efficient_pow2,0.140288,140.28799999999998 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+512,10,compact,compact_cpu_with_scan,0.0016,1.6 +512,10,compact,compact_work_efficient_pow2,0.115712,115.71199999999999 +512,10,compact,compact_work_efficient_non_pow2,0.059392,59.392 +256,1,scan,scan_cpu_pow2,0.0005,0.5 +256,1,scan,scan_cpu_non_pow2,0.0002,0.2 +256,1,scan,scan_naive_pow2,0.24576,245.76000000000002 +256,1,scan,scan_naive_non_pow2,0.191488,191.488 +256,1,scan,scan_work_efficient_pow2,0.09216,92.16000000000001 +256,1,scan,scan_work_efficient_non_pow2,0.016384,16.384 +256,1,scan,scan_thrust_pow2,0.105472,105.472 +256,1,scan,scan_thrust_non_pow2,0.067584,67.584 +256,1,compact,compact_cpu_without_scan_pow2,0.0007,0.7 +256,1,compact,compact_cpu_without_scan_non_pow2,0.0004,0.4 +256,1,compact,compact_cpu_with_scan,0.0009,0.9 +256,1,compact,compact_work_efficient_pow2,0.144384,144.38400000000001 +256,1,compact,compact_work_efficient_non_pow2,0.08192,81.92 +256,2,scan,scan_cpu_pow2,0.0004,0.4 +256,2,scan,scan_cpu_non_pow2,0.0002,0.2 +256,2,scan,scan_naive_pow2,0.25088,250.88 +256,2,scan,scan_naive_non_pow2,0.12288,122.88000000000001 +256,2,scan,scan_work_efficient_pow2,0.0768,76.8 +256,2,scan,scan_work_efficient_non_pow2,0.017408,17.408 +256,2,scan,scan_thrust_pow2,0.106496,106.496 +256,2,scan,scan_thrust_non_pow2,0.074752,74.752 +256,2,compact,compact_cpu_without_scan_pow2,0.0006,0.6 +256,2,compact,compact_cpu_without_scan_non_pow2,0.0004,0.4 +256,2,compact,compact_cpu_with_scan,0.0008,0.8 +256,2,compact,compact_work_efficient_pow2,0.14336,143.35999999999999 +256,2,compact,compact_work_efficient_non_pow2,0.050176,50.176 +256,3,scan,scan_cpu_pow2,0.0008,0.8 +256,3,scan,scan_cpu_non_pow2,0.0002,0.2 +256,3,scan,scan_naive_pow2,0.316416,316.416 +256,3,scan,scan_naive_non_pow2,0.229376,229.376 +256,3,scan,scan_work_efficient_pow2,0.078848,78.848 +256,3,scan,scan_work_efficient_non_pow2,0.0256,25.6 +256,3,scan,scan_thrust_pow2,0.125952,125.95200000000001 +256,3,scan,scan_thrust_non_pow2,0.034816,34.816 +256,3,compact,compact_cpu_without_scan_pow2,0.0008,0.8 +256,3,compact,compact_cpu_without_scan_non_pow2,0.0004,0.4 +256,3,compact,compact_cpu_with_scan,0.0008,0.8 +256,3,compact,compact_work_efficient_pow2,0.142336,142.33599999999998 +256,3,compact,compact_work_efficient_non_pow2,0.083968,83.968 +256,4,scan,scan_cpu_pow2,0.0004,0.4 +256,4,scan,scan_cpu_non_pow2,0.0001,0.1 +256,4,scan,scan_naive_pow2,0.239616,239.61599999999999 +256,4,scan,scan_naive_non_pow2,0.181248,181.248 +256,4,scan,scan_work_efficient_pow2,0.079872,79.872 +256,4,scan,scan_work_efficient_non_pow2,0.016384,16.384 +256,4,scan,scan_thrust_pow2,0.136192,136.192 +256,4,scan,scan_thrust_non_pow2,0.045056,45.056 +256,4,compact,compact_cpu_without_scan_pow2,0.0007,0.7 +256,4,compact,compact_cpu_without_scan_non_pow2,0.0004,0.4 +256,4,compact,compact_cpu_with_scan,0.0009,0.9 +256,4,compact,compact_work_efficient_pow2,0.139264,139.264 +256,4,compact,compact_work_efficient_non_pow2,0.082944,82.944 +256,5,scan,scan_cpu_pow2,0.0004,0.4 +256,5,scan,scan_cpu_non_pow2,0.0002,0.2 +256,5,scan,scan_naive_pow2,0.335872,335.872 +256,5,scan,scan_naive_non_pow2,0.183296,183.296 +256,5,scan,scan_work_efficient_pow2,0.091136,91.136 +256,5,scan,scan_work_efficient_non_pow2,0.016384,16.384 +256,5,scan,scan_thrust_pow2,0.125952,125.95200000000001 +256,5,scan,scan_thrust_non_pow2,0.043008,43.007999999999996 +256,5,compact,compact_cpu_without_scan_pow2,0.0007,0.7 +256,5,compact,compact_cpu_without_scan_non_pow2,0.0004,0.4 +256,5,compact,compact_cpu_with_scan,0.0007,0.7 +256,5,compact,compact_work_efficient_pow2,0.195584,195.584 +256,5,compact,compact_work_efficient_non_pow2,0.065536,65.536 +256,6,scan,scan_cpu_pow2,0.0005,0.5 +256,6,scan,scan_cpu_non_pow2,0.0003,0.3 +256,6,scan,scan_naive_pow2,0.33792,337.92 +256,6,scan,scan_naive_non_pow2,0.150528,150.528 +256,6,scan,scan_work_efficient_pow2,0.083968,83.968 +256,6,scan,scan_work_efficient_non_pow2,0.023552,23.552 +256,6,scan,scan_thrust_pow2,0.10752,107.52000000000001 +256,6,scan,scan_thrust_non_pow2,0.045056,45.056 +256,6,compact,compact_cpu_without_scan_pow2,0.0007,0.7 +256,6,compact,compact_cpu_without_scan_non_pow2,0.0004,0.4 +256,6,compact,compact_cpu_with_scan,0.0008,0.8 +256,6,compact,compact_work_efficient_pow2,0.107616,107.616 +256,6,compact,compact_work_efficient_non_pow2,0.050176,50.176 +256,7,scan,scan_cpu_pow2,0.0004,0.4 +256,7,scan,scan_cpu_non_pow2,0.0001,0.1 +256,7,scan,scan_naive_pow2,0.257024,257.024 +256,7,scan,scan_naive_non_pow2,0.1536,153.6 +256,7,scan,scan_work_efficient_pow2,0.062464,62.464 +256,7,scan,scan_work_efficient_non_pow2,0.023552,23.552 +256,7,scan,scan_thrust_pow2,0.126976,126.976 +256,7,scan,scan_thrust_non_pow2,0.043008,43.007999999999996 +256,7,compact,compact_cpu_without_scan_pow2,0.0009,0.9 +256,7,compact,compact_cpu_without_scan_non_pow2,0.0004,0.4 +256,7,compact,compact_cpu_with_scan,0.0011,1.1 +256,7,compact,compact_work_efficient_pow2,0.166912,166.912 +256,7,compact,compact_work_efficient_non_pow2,0.058368,58.368 +256,8,scan,scan_cpu_pow2,0.0006,0.6 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+256,10,compact,compact_work_efficient_non_pow2,0.049152,49.152 +2097152,1,scan,scan_cpu_pow2,1.0637,1063.7 +2097152,1,scan,scan_cpu_non_pow2,1.0598,1059.8000000000002 +2097152,1,scan,scan_naive_pow2,1.79869,1798.6899999999998 +2097152,1,scan,scan_naive_non_pow2,1.64061,1640.61 +2097152,1,scan,scan_work_efficient_pow2,0.774624,774.624 +2097152,1,scan,scan_work_efficient_non_pow2,0.549888,549.888 +2097152,1,scan,scan_thrust_pow2,0.57856,578.56 +2097152,1,scan,scan_thrust_non_pow2,0.699392,699.392 +2097152,1,compact,compact_cpu_without_scan_pow2,3.3956,3395.6 +2097152,1,compact,compact_cpu_without_scan_non_pow2,3.5848,3584.8 +2097152,1,compact,compact_cpu_with_scan,6.3465,6346.5 +2097152,1,compact,compact_work_efficient_pow2,1.32294,1322.94 +2097152,1,compact,compact_work_efficient_non_pow2,1.38957,1389.57 +2097152,2,scan,scan_cpu_pow2,1.2786,1278.6 +2097152,2,scan,scan_cpu_non_pow2,1.1046,1104.6000000000001 +2097152,2,scan,scan_naive_pow2,1.71523,1715.23 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+2097152,3,scan,scan_thrust_pow2,0.534528,534.528 +2097152,3,scan,scan_thrust_non_pow2,0.526336,526.336 +2097152,3,compact,compact_cpu_without_scan_pow2,3.5031,3503.1 +2097152,3,compact,compact_cpu_without_scan_non_pow2,3.5363,3536.3 +2097152,3,compact,compact_cpu_with_scan,6.1338,6133.8 +2097152,3,compact,compact_work_efficient_pow2,1.47238,1472.38 +2097152,3,compact,compact_work_efficient_non_pow2,1.04346,1043.46 +2097152,4,scan,scan_cpu_pow2,1.3694,1369.3999999999999 +2097152,4,scan,scan_cpu_non_pow2,1.0494,1049.4 +2097152,4,scan,scan_naive_pow2,1.81363,1813.63 +2097152,4,scan,scan_naive_non_pow2,1.59533,1595.33 +2097152,4,scan,scan_work_efficient_pow2,1.10499,1104.99 +2097152,4,scan,scan_work_efficient_non_pow2,0.509952,509.95199999999994 +2097152,4,scan,scan_thrust_pow2,0.583648,583.6479999999999 +2097152,4,scan,scan_thrust_non_pow2,0.676864,676.864 +2097152,4,compact,compact_cpu_without_scan_pow2,3.4984,3498.4 +2097152,4,compact,compact_cpu_without_scan_non_pow2,3.3388,3338.8 +2097152,4,compact,compact_cpu_with_scan,6.397,6397.0 +2097152,4,compact,compact_work_efficient_pow2,1.29149,1291.49 +2097152,4,compact,compact_work_efficient_non_pow2,1.06496,1064.9599999999998 +2097152,5,scan,scan_cpu_pow2,1.028,1028.0 +2097152,5,scan,scan_cpu_non_pow2,0.9806,980.6 +2097152,5,scan,scan_naive_pow2,1.79773,1797.73 +2097152,5,scan,scan_naive_non_pow2,1.59802,1598.02 +2097152,5,scan,scan_work_efficient_pow2,0.725536,725.536 +2097152,5,scan,scan_work_efficient_non_pow2,0.507904,507.904 +2097152,5,scan,scan_thrust_pow2,0.566272,566.272 +2097152,5,scan,scan_thrust_non_pow2,0.748544,748.544 +2097152,5,compact,compact_cpu_without_scan_pow2,3.5767,3576.7000000000003 +2097152,5,compact,compact_cpu_without_scan_non_pow2,3.5661,3566.1 +2097152,5,compact,compact_cpu_with_scan,6.0808,6080.8 +2097152,5,compact,compact_work_efficient_pow2,1.38314,1383.14 +2097152,5,compact,compact_work_efficient_non_pow2,0.920576,920.5759999999999 +2097152,6,scan,scan_cpu_pow2,1.1422,1142.2 +2097152,6,scan,scan_cpu_non_pow2,1.0384,1038.4 +2097152,6,scan,scan_naive_pow2,2.77859,2778.5899999999997 +2097152,6,scan,scan_naive_non_pow2,1.58848,1588.4799999999998 +2097152,6,scan,scan_work_efficient_pow2,0.738944,738.9440000000001 +2097152,6,scan,scan_work_efficient_non_pow2,0.504832,504.83199999999994 +2097152,6,scan,scan_thrust_pow2,0.528384,528.384 +2097152,6,scan,scan_thrust_non_pow2,0.698368,698.3679999999999 +2097152,6,compact,compact_cpu_without_scan_pow2,3.5595,3559.5 +2097152,6,compact,compact_cpu_without_scan_non_pow2,3.4713,3471.2999999999997 +2097152,6,compact,compact_cpu_with_scan,6.2921,6292.099999999999 +2097152,6,compact,compact_work_efficient_pow2,1.29184,1291.8400000000001 +2097152,6,compact,compact_work_efficient_non_pow2,0.965632,965.6320000000001 +2097152,7,scan,scan_cpu_pow2,1.0823,1082.3 +2097152,7,scan,scan_cpu_non_pow2,1.0753,1075.3 +2097152,7,scan,scan_naive_pow2,2.00064,2000.64 +2097152,7,scan,scan_naive_non_pow2,1.59347,1593.47 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+4194304,1,scan,scan_naive_pow2,3.2249,3224.9 +4194304,1,scan,scan_naive_non_pow2,3.21805,3218.0499999999997 +4194304,1,scan,scan_work_efficient_pow2,0.958336,958.336 +4194304,1,scan,scan_work_efficient_non_pow2,0.843776,843.776 +4194304,1,scan,scan_thrust_pow2,0.664576,664.5759999999999 +4194304,1,scan,scan_thrust_non_pow2,0.81408,814.08 +4194304,1,compact,compact_cpu_without_scan_pow2,7.2458,7245.8 +4194304,1,compact,compact_cpu_without_scan_non_pow2,7.1916,7191.6 +4194304,1,compact,compact_cpu_with_scan,12.6813,12681.300000000001 +4194304,1,compact,compact_work_efficient_pow2,1.58509,1585.0900000000001 +4194304,1,compact,compact_work_efficient_non_pow2,1.31994,1319.9399999999998 +4194304,2,scan,scan_cpu_pow2,1.9014,1901.4 +4194304,2,scan,scan_cpu_non_pow2,2.1376,2137.6 +4194304,2,scan,scan_naive_pow2,3.84598,3845.98 +4194304,2,scan,scan_naive_non_pow2,3.12982,3129.82 +4194304,2,scan,scan_work_efficient_pow2,1.05837,1058.3700000000001 +4194304,2,scan,scan_work_efficient_non_pow2,1.21754,1217.54 +4194304,2,scan,scan_thrust_pow2,0.663552,663.552 +4194304,2,scan,scan_thrust_non_pow2,0.720896,720.896 +4194304,2,compact,compact_cpu_without_scan_pow2,7.1029,7102.9 +4194304,2,compact,compact_cpu_without_scan_non_pow2,7.1129,7112.9 +4194304,2,compact,compact_cpu_with_scan,16.594,16594.0 +4194304,2,compact,compact_work_efficient_pow2,1.90944,1909.44 +4194304,2,compact,compact_work_efficient_non_pow2,1.29434,1294.3400000000001 +4194304,3,scan,scan_cpu_pow2,2.0985,2098.5 +4194304,3,scan,scan_cpu_non_pow2,2.1093,2109.3 +4194304,3,scan,scan_naive_pow2,3.19302,3193.02 +4194304,3,scan,scan_naive_non_pow2,3.23082,3230.82 +4194304,3,scan,scan_work_efficient_pow2,1.52906,1529.0600000000002 +4194304,3,scan,scan_work_efficient_non_pow2,0.804864,804.864 +4194304,3,scan,scan_thrust_pow2,0.673792,673.7919999999999 +4194304,3,scan,scan_thrust_non_pow2,0.6144,614.4 +4194304,3,compact,compact_cpu_without_scan_pow2,6.9448,6944.8 +4194304,3,compact,compact_cpu_without_scan_non_pow2,7.0111,7011.099999999999 +4194304,3,compact,compact_cpu_with_scan,12.0462,12046.2 +4194304,3,compact,compact_work_efficient_pow2,1.61491,1614.91 +4194304,3,compact,compact_work_efficient_non_pow2,1.29126,1291.26 +4194304,4,scan,scan_cpu_pow2,2.046,2045.9999999999998 +4194304,4,scan,scan_cpu_non_pow2,2.0965,2096.5 +4194304,4,scan,scan_naive_pow2,3.24842,3248.42 +4194304,4,scan,scan_naive_non_pow2,3.21526,3215.2599999999998 +4194304,4,scan,scan_work_efficient_pow2,1.00698,1006.98 +4194304,4,scan,scan_work_efficient_non_pow2,0.615424,615.424 +4194304,4,scan,scan_thrust_pow2,0.674816,674.8159999999999 +4194304,4,scan,scan_thrust_non_pow2,0.684032,684.0319999999999 +4194304,4,compact,compact_cpu_without_scan_pow2,6.86,6860.0 +4194304,4,compact,compact_cpu_without_scan_non_pow2,6.8863,6886.3 +4194304,4,compact,compact_cpu_with_scan,12.5549,12554.9 +4194304,4,compact,compact_work_efficient_pow2,1.55798,1557.98 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+8388608,5,scan,scan_cpu_pow2,4.3684,4368.400000000001 +8388608,5,scan,scan_cpu_non_pow2,3.8767,3876.7 +8388608,5,scan,scan_naive_pow2,6.36963,6369.63 +8388608,5,scan,scan_naive_non_pow2,6.23763,6237.63 +8388608,5,scan,scan_work_efficient_pow2,1.98704,1987.04 +8388608,5,scan,scan_work_efficient_non_pow2,1.13664,1136.64 +8388608,5,scan,scan_thrust_pow2,0.858112,858.112 +8388608,5,scan,scan_thrust_non_pow2,0.980992,980.992 +8388608,5,compact,compact_cpu_without_scan_pow2,14.0435,14043.5 +8388608,5,compact,compact_cpu_without_scan_non_pow2,14.336,14336.0 +8388608,5,compact,compact_cpu_with_scan,24.99,24990.0 +8388608,5,compact,compact_work_efficient_pow2,2.25568,2255.68 +8388608,5,compact,compact_work_efficient_non_pow2,1.9712,1971.2 +8388608,6,scan,scan_cpu_pow2,4.5514,4551.400000000001 +8388608,6,scan,scan_cpu_non_pow2,4.1218,4121.8 +8388608,6,scan,scan_naive_pow2,6.35981,6359.81 +8388608,6,scan,scan_naive_non_pow2,6.27021,6270.21 +8388608,6,scan,scan_work_efficient_pow2,1.64166,1641.6599999999999 +8388608,6,scan,scan_work_efficient_non_pow2,1.11002,1110.02 +8388608,6,scan,scan_thrust_pow2,0.843776,843.776 +8388608,6,scan,scan_thrust_non_pow2,0.896,896.0 +8388608,6,compact,compact_cpu_without_scan_pow2,14.28,14280.0 +8388608,6,compact,compact_cpu_without_scan_non_pow2,14.097,14097.0 +8388608,6,compact,compact_cpu_with_scan,25.9096,25909.600000000002 +8388608,6,compact,compact_work_efficient_pow2,2.17619,2176.19 +8388608,6,compact,compact_work_efficient_non_pow2,1.95072,1950.72 +8388608,7,scan,scan_cpu_pow2,4.0255,4025.5 +8388608,7,scan,scan_cpu_non_pow2,4.1788,4178.8 +8388608,7,scan,scan_naive_pow2,6.96211,6962.11 +8388608,7,scan,scan_naive_non_pow2,6.14246,6142.46 +8388608,7,scan,scan_work_efficient_pow2,1.6569,1656.9 +8388608,7,scan,scan_work_efficient_non_pow2,1.00352,1003.52 +8388608,7,scan,scan_thrust_pow2,1.08339,1083.39 +8388608,7,scan,scan_thrust_non_pow2,0.902176,902.1759999999999 +8388608,7,compact,compact_cpu_without_scan_pow2,14.0148,14014.8 +8388608,7,compact,compact_cpu_without_scan_non_pow2,13.8375,13837.5 +8388608,7,compact,compact_cpu_with_scan,25.2176,25217.600000000002 +8388608,7,compact,compact_work_efficient_pow2,2.23869,2238.69 +8388608,7,compact,compact_work_efficient_non_pow2,1.92307,1923.0700000000002 +8388608,8,scan,scan_cpu_pow2,4.5373,4537.3 +8388608,8,scan,scan_cpu_non_pow2,4.2575,4257.5 +8388608,8,scan,scan_naive_pow2,7.18739,7187.389999999999 +8388608,8,scan,scan_naive_non_pow2,6.75066,6750.66 +8388608,8,scan,scan_work_efficient_pow2,1.49405,1494.0500000000002 +8388608,8,scan,scan_work_efficient_non_pow2,1.07725,1077.25 +8388608,8,scan,scan_thrust_pow2,0.8704,870.4 +8388608,8,scan,scan_thrust_non_pow2,1.27795,1277.9499999999998 +8388608,8,compact,compact_cpu_without_scan_pow2,13.8218,13821.8 +8388608,8,compact,compact_cpu_without_scan_non_pow2,13.7692,13769.199999999999 +8388608,8,compact,compact_cpu_with_scan,25.3661,25366.1 +8388608,8,compact,compact_work_efficient_pow2,2.46467,2464.67 +8388608,8,compact,compact_work_efficient_non_pow2,1.99578,1995.7800000000002 +8388608,9,scan,scan_cpu_pow2,4.1012,4101.200000000001 +8388608,9,scan,scan_cpu_non_pow2,4.176,4176.0 +8388608,9,scan,scan_naive_pow2,6.85757,6857.57 +8388608,9,scan,scan_naive_non_pow2,6.13942,6139.42 +8388608,9,scan,scan_work_efficient_pow2,1.81488,1814.88 +8388608,9,scan,scan_work_efficient_non_pow2,1.23187,1231.8700000000001 +8388608,9,scan,scan_thrust_pow2,0.86016,860.1600000000001 +8388608,9,scan,scan_thrust_non_pow2,0.973824,973.8240000000001 +8388608,9,compact,compact_cpu_without_scan_pow2,13.9876,13987.6 +8388608,9,compact,compact_cpu_without_scan_non_pow2,13.8367,13836.7 +8388608,9,compact,compact_cpu_with_scan,25.9743,25974.3 +8388608,9,compact,compact_work_efficient_pow2,2.13539,2135.3900000000003 +8388608,9,compact,compact_work_efficient_non_pow2,1.87597,1875.97 +8388608,10,scan,scan_cpu_pow2,4.2186,4218.6 +8388608,10,scan,scan_cpu_non_pow2,4.3114,4311.4 +8388608,10,scan,scan_naive_pow2,6.96698,6966.9800000000005 +8388608,10,scan,scan_naive_non_pow2,6.19072,6190.719999999999 +8388608,10,scan,scan_work_efficient_pow2,1.7815,1781.5 +8388608,10,scan,scan_work_efficient_non_pow2,1.32608,1326.08 +8388608,10,scan,scan_thrust_pow2,0.854016,854.016 +8388608,10,scan,scan_thrust_non_pow2,0.940032,940.0319999999999 +8388608,10,compact,compact_cpu_without_scan_pow2,13.6961,13696.1 +8388608,10,compact,compact_cpu_without_scan_non_pow2,13.8071,13807.1 +8388608,10,compact,compact_cpu_with_scan,24.1105,24110.5 +8388608,10,compact,compact_work_efficient_pow2,2.30371,2303.71 +8388608,10,compact,compact_work_efficient_non_pow2,1.95584,1955.84 +16777216,1,scan,scan_cpu_pow2,8.8192,8819.2 +16777216,1,scan,scan_cpu_non_pow2,8.6034,8603.400000000001 +16777216,1,scan,scan_naive_pow2,13.0046,13004.6 +16777216,1,scan,scan_naive_non_pow2,12.4661,12466.1 +16777216,1,scan,scan_work_efficient_pow2,1.9721,1972.1 +16777216,1,scan,scan_work_efficient_non_pow2,1.86061,1860.6100000000001 +16777216,1,scan,scan_thrust_pow2,1.14483,1144.83 +16777216,1,scan,scan_thrust_non_pow2,1.11514,1115.14 +16777216,1,compact,compact_cpu_without_scan_pow2,27.9313,27931.3 +16777216,1,compact,compact_cpu_without_scan_non_pow2,27.4414,27441.4 +16777216,1,compact,compact_cpu_with_scan,50.0174,50017.4 +16777216,1,compact,compact_work_efficient_pow2,3.39184,3391.84 +16777216,1,compact,compact_work_efficient_non_pow2,3.04333,3043.33 +16777216,2,scan,scan_cpu_pow2,8.7636,8763.6 +16777216,2,scan,scan_cpu_non_pow2,7.9199,7919.900000000001 +16777216,2,scan,scan_naive_pow2,12.4361,12436.1 +16777216,2,scan,scan_naive_non_pow2,12.269,12269.0 +16777216,2,scan,scan_work_efficient_pow2,2.05738,2057.38 +16777216,2,scan,scan_work_efficient_non_pow2,1.71418,1714.18 +16777216,2,scan,scan_thrust_pow2,1.08237,1082.3700000000001 +16777216,2,scan,scan_thrust_non_pow2,1.10182,1101.82 +16777216,2,compact,compact_cpu_without_scan_pow2,27.696,27696.0 +16777216,2,compact,compact_cpu_without_scan_non_pow2,28.2018,28201.8 +16777216,2,compact,compact_cpu_with_scan,51.2568,51256.799999999996 +16777216,2,compact,compact_work_efficient_pow2,3.49302,3493.02 +16777216,2,compact,compact_work_efficient_non_pow2,2.94298,2942.98 +16777216,3,scan,scan_cpu_pow2,8.0591,8059.1 +16777216,3,scan,scan_cpu_non_pow2,8.1771,8177.099999999999 +16777216,3,scan,scan_naive_pow2,13.0196,13019.6 +16777216,3,scan,scan_naive_non_pow2,12.4272,12427.199999999999 +16777216,3,scan,scan_work_efficient_pow2,1.9687,1968.6999999999998 +16777216,3,scan,scan_work_efficient_non_pow2,1.97018,1970.18 +16777216,3,scan,scan_thrust_pow2,1.16838,1168.3799999999999 +16777216,3,scan,scan_thrust_non_pow2,1.09875,1098.75 +16777216,3,compact,compact_cpu_without_scan_pow2,28.2515,28251.5 +16777216,3,compact,compact_cpu_without_scan_non_pow2,28.9084,28908.4 +16777216,3,compact,compact_cpu_with_scan,49.4342,49434.2 +16777216,3,compact,compact_work_efficient_pow2,3.47747,3477.47 +16777216,3,compact,compact_work_efficient_non_pow2,3.17338,3173.3799999999997 +16777216,4,scan,scan_cpu_pow2,8.332,8332.0 +16777216,4,scan,scan_cpu_non_pow2,8.3742,8374.2 +16777216,4,scan,scan_naive_pow2,13.007,13007.0 +16777216,4,scan,scan_naive_non_pow2,12.8768,12876.8 +16777216,4,scan,scan_work_efficient_pow2,1.87334,1873.34 +16777216,4,scan,scan_work_efficient_non_pow2,1.87597,1875.97 +16777216,4,scan,scan_thrust_pow2,1.09978,1099.78 +16777216,4,scan,scan_thrust_non_pow2,1.0793,1079.3 +16777216,4,compact,compact_cpu_without_scan_pow2,28.3906,28390.6 +16777216,4,compact,compact_cpu_without_scan_non_pow2,27.9081,27908.100000000002 +16777216,4,compact,compact_cpu_with_scan,52.1602,52160.200000000004 +16777216,4,compact,compact_work_efficient_pow2,3.37898,3378.98 +16777216,4,compact,compact_work_efficient_non_pow2,3.36691,3366.91 +16777216,5,scan,scan_cpu_pow2,10.5132,10513.199999999999 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+16777216,6,scan,scan_work_efficient_non_pow2,1.84218,1842.1799999999998 +16777216,6,scan,scan_thrust_pow2,1.16736,1167.36 +16777216,6,scan,scan_thrust_non_pow2,1.16227,1162.27 +16777216,6,compact,compact_cpu_without_scan_pow2,27.908,27908.0 +16777216,6,compact,compact_cpu_without_scan_non_pow2,27.1709,27170.899999999998 +16777216,6,compact,compact_cpu_with_scan,50.3292,50329.2 +16777216,6,compact,compact_work_efficient_pow2,3.3727,3372.7 +16777216,6,compact,compact_work_efficient_non_pow2,3.21331,3213.31 +16777216,7,scan,scan_cpu_pow2,8.5866,8586.6 +16777216,7,scan,scan_cpu_non_pow2,8.5128,8512.800000000001 +16777216,7,scan,scan_naive_pow2,12.9977,12997.7 +16777216,7,scan,scan_naive_non_pow2,12.4143,12414.300000000001 +16777216,7,scan,scan_work_efficient_pow2,1.90534,1905.3400000000001 +16777216,7,scan,scan_work_efficient_non_pow2,1.72646,1726.46 +16777216,7,scan,scan_thrust_pow2,1.12333,1123.33 +16777216,7,scan,scan_thrust_non_pow2,1.09978,1099.78 +16777216,7,compact,compact_cpu_without_scan_pow2,28.0414,28041.399999999998 +16777216,7,compact,compact_cpu_without_scan_non_pow2,27.45,27450.0 +16777216,7,compact,compact_cpu_with_scan,52.7391,52739.1 +16777216,7,compact,compact_work_efficient_pow2,3.28806,3288.0600000000004 +16777216,7,compact,compact_work_efficient_non_pow2,3.01466,3014.6600000000003 +16777216,8,scan,scan_cpu_pow2,8.1571,8157.099999999999 +16777216,8,scan,scan_cpu_non_pow2,8.2681,8268.1 +16777216,8,scan,scan_naive_pow2,12.8949,12894.9 +16777216,8,scan,scan_naive_non_pow2,12.4012,12401.199999999999 +16777216,8,scan,scan_work_efficient_pow2,1.90502,1905.02 +16777216,8,scan,scan_work_efficient_non_pow2,1.72237,1722.37 +16777216,8,scan,scan_thrust_pow2,1.08544,1085.44 +16777216,8,scan,scan_thrust_non_pow2,1.08032,1080.32 +16777216,8,compact,compact_cpu_without_scan_pow2,27.5374,27537.4 +16777216,8,compact,compact_cpu_without_scan_non_pow2,28.1366,28136.600000000002 +16777216,8,compact,compact_cpu_with_scan,51.9063,51906.3 +16777216,8,compact,compact_work_efficient_pow2,3.4713,3471.2999999999997 +16777216,8,compact,compact_work_efficient_non_pow2,3.00858,3008.58 +16777216,9,scan,scan_cpu_pow2,8.5533,8553.3 +16777216,9,scan,scan_cpu_non_pow2,8.4548,8454.800000000001 +16777216,9,scan,scan_naive_pow2,13.0243,13024.300000000001 +16777216,9,scan,scan_naive_non_pow2,12.3937,12393.7 +16777216,9,scan,scan_work_efficient_pow2,1.87325,1873.25 +16777216,9,scan,scan_work_efficient_non_pow2,1.82682,1826.8200000000002 +16777216,9,scan,scan_thrust_pow2,1.05062,1050.6200000000001 +16777216,9,scan,scan_thrust_non_pow2,1.07418,1074.1799999999998 +16777216,9,compact,compact_cpu_without_scan_pow2,28.0757,28075.7 +16777216,9,compact,compact_cpu_without_scan_non_pow2,28.6645,28664.5 +16777216,9,compact,compact_cpu_with_scan,50.3038,50303.8 +16777216,9,compact,compact_work_efficient_pow2,3.29414,3294.14 +16777216,9,compact,compact_work_efficient_non_pow2,3.10682,3106.8199999999997 +16777216,10,scan,scan_cpu_pow2,8.3335,8333.5 +16777216,10,scan,scan_cpu_non_pow2,8.0696,8069.599999999999 +16777216,10,scan,scan_naive_pow2,14.0056,14005.599999999999 +16777216,10,scan,scan_naive_non_pow2,12.3258,12325.8 +16777216,10,scan,scan_work_efficient_pow2,2.14918,2149.18 +16777216,10,scan,scan_work_efficient_non_pow2,1.89747,1897.47 +16777216,10,scan,scan_thrust_pow2,1.08237,1082.3700000000001 +16777216,10,scan,scan_thrust_non_pow2,1.08749,1087.49 +16777216,10,compact,compact_cpu_without_scan_pow2,27.7936,27793.600000000002 +16777216,10,compact,compact_cpu_without_scan_non_pow2,28.9048,28904.800000000003 +16777216,10,compact,compact_cpu_with_scan,49.6402,49640.2 +16777216,10,compact,compact_work_efficient_pow2,3.37325,3373.25 +16777216,10,compact,compact_work_efficient_non_pow2,3.02387,3023.87 +33554432,1,scan,scan_cpu_pow2,17.1524,17152.4 +33554432,1,scan,scan_cpu_non_pow2,15.4388,15438.800000000001 +33554432,1,scan,scan_naive_pow2,25.4122,25412.199999999997 +33554432,1,scan,scan_naive_non_pow2,25.2767,25276.7 +33554432,1,scan,scan_work_efficient_pow2,3.368,3368.0 +33554432,1,scan,scan_work_efficient_non_pow2,3.0464,3046.4 +33554432,1,scan,scan_thrust_pow2,1.73869,1738.69 +33554432,1,scan,scan_thrust_non_pow2,1.64352,1643.52 +33554432,1,compact,compact_cpu_without_scan_pow2,57.015,57015.0 +33554432,1,compact,compact_cpu_without_scan_non_pow2,55.3494,55349.4 +33554432,1,compact,compact_cpu_with_scan,100.392,100392.0 +33554432,1,compact,compact_work_efficient_pow2,5.86621,5866.21 +33554432,1,compact,compact_work_efficient_non_pow2,5.53472,5534.72 +33554432,2,scan,scan_cpu_pow2,15.7645,15764.5 +33554432,2,scan,scan_cpu_non_pow2,16.3241,16324.100000000002 +33554432,2,scan,scan_naive_pow2,25.4285,25428.5 +33554432,2,scan,scan_naive_non_pow2,25.3756,25375.6 +33554432,2,scan,scan_work_efficient_pow2,3.17162,3171.62 +33554432,2,scan,scan_work_efficient_non_pow2,2.83853,2838.53 +33554432,2,scan,scan_thrust_pow2,1.64352,1643.52 +33554432,2,scan,scan_thrust_non_pow2,1.55034,1550.3400000000001 +33554432,2,compact,compact_cpu_without_scan_pow2,55.9716,55971.600000000006 +33554432,2,compact,compact_cpu_without_scan_non_pow2,56.3901,56390.1 +33554432,2,compact,compact_cpu_with_scan,100.645,100645.0 +33554432,2,compact,compact_work_efficient_pow2,5.6831,5683.099999999999 +33554432,2,compact,compact_work_efficient_non_pow2,5.45997,5459.97 +33554432,3,scan,scan_cpu_pow2,17.6581,17658.100000000002 +33554432,3,scan,scan_cpu_non_pow2,18.0834,18083.4 +33554432,3,scan,scan_naive_pow2,25.3882,25388.2 +33554432,3,scan,scan_naive_non_pow2,25.7363,25736.3 +33554432,3,scan,scan_work_efficient_pow2,3.02618,3026.1800000000003 +33554432,3,scan,scan_work_efficient_non_pow2,2.77094,2770.94 +33554432,3,scan,scan_thrust_pow2,1.65581,1655.81 +33554432,3,scan,scan_thrust_non_pow2,1.6169,1616.9 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I am Vismay Churiwala, here are my socials: * [LinkedIn](https://www.linkedin.com/in/vismay-churiwala-8b0073190/) | [Website](https://vismaychuriwala.com/) * **System Specs (My Machine):** @@ -10,37 +10,212 @@ * Driver Version: 581.15 --- -This is a CUDA-powered parallel implementation of Stream Compression. Stream Compression is a method of reducing large arrays of numbers, including only non-zero values. This seems to be a fairly straightforward problem that can be coded sequentially in a couple of minutes, but as we will see, this is extremely slow on the CPU for large arrays and using a GPU to parallelize this process can be orders of magnitude faster. +This is a CUDA-powered parallel implementation of stream compaction. Stream compaction reduces arrays by retaining only non-zero values. This seems to be a fairly straightforward problem that can be coded sequentially in a couple of minutes, but as we will see, this is extremely slow on the CPU for large arrays and using a GPU to parallelize this process can be orders of magnitude faster. Here are some cool features I have implemented: -* Using Shared Memory for Efficient Memory Access on the GPU (as opposed to using Global Memory, which is > 100x slower \[ [see more here](https://www.ce.jhu.edu/dalrymple/classes/602/Class13.pdf)\]). -* Hardware Optimization via [Bank-Conflict](https://forums.developer.nvidia.com/t/how-to-understand-the-bank-conflict-of-shared-mem/260900) prevention. -* Recursive scanning to scan arrays of arbitrary sizes (tested up to 1B elements (2^ 30) which took 3470.59 ms). +* Using shared memory for efficient memory access on the GPU (as opposed to using global memory, which is more than 100× slower ([see more here](https://www.ce.jhu.edu/dalrymple/classes/602/Class13.pdf))). +* Hardware optimization via [bank conflicts](https://forums.developer.nvidia.com/t/how-to-understand-the-bank-conflict-of-shared-mem/260900) prevention. +* Recursive scanning to scan arrays of arbitrary sizes (tested up to 1B elements (2^30), which took 3470.59 ms). * Naive and CPU-based implementations to compare and benchmark techniques. -* Customized testing code to collect, average and plot GPU and CPU timings. +* Customized testing code to collect, average, and plot GPU and CPU timings. ## CUDA Scan + Stream Compaction -Scan is a prefix-sum. I used the work‑efficient Blelloch scan (upsweep/downsweep) on the GPU so the total work stays O(n) and the depth is O(log n). Each block scans its chunk in shared memory, I used strided indexing to dodge bank conflicts, and I kept the loads/stores coalesced. For big inputs, the input is split into chunks, and assigned to blocks. The blocks write their partial sums, I scan those recursively (So that the partial sums which cannot be fit into a single block can be scanned using multiple blocks again), and then add the offsets back (uniform add) so it scales to arbitrary sizes and NPOTs. +Scan is a prefix-sum. I used the work‑efficient Blelloch scan (upsweep/downsweep) on the GPU so the total work stays O(n) and the depth is O(log n). Each block scans its chunk in shared memory. I used strided indexing to dodge bank conflicts, and I kept the loads/stores coalesced. For large inputs, I split the data into chunks and assign them to blocks. The blocks write their partial sums. I scan those recursively (so partial sums that don’t fit in a single block are scanned across multiple blocks), and then add the offsets back (uniform add) so it scales to arbitrary sizes and NPOTs. -Stream compaction rides on top of scan. First I build a bools array (0/1 flag per element, i.e., keep if value != 0). Then I exclusive‑scan the flags to get output indices, and scatter only the keepers. That makes the compaction stable and very GPU‑friendly. I include a naive version, a work‑efficient version, and a CPU baseline so you can sanity‑check correctness and see the speedups on both power‑of‑two and non‑power‑of‑two sizes. +Stream compaction rides on top of scan. First I build a bools array (0/1 flag per element, i.e., keep if value != 0). Then I exclusive‑scan the flags to get output indices, and scatter only the keepers. That makes the compaction stable and very GPU‑friendly. I include a naive version, a work‑efficient version, and a CPU baseline so you can sanity‑check correctness and see the speedups on both power‑of‑two and non‑power‑of‑two (NPOT) sizes. ## Performance Analysis -I benchmarked each method across a range of sizes (both power‑of‑two and NPOT), averaged over 10 runs. The work‑efficient GPU scan/compaction wins big, especially as input grows; non-power-of-two handling adds minor overhead but stays close. +I benchmarked each method across a range of sizes (both power‑of‑two and NPOT), averaged over 10 runs. The work‑efficient GPU scan/compaction wins big, especially as input grows; NPOT handling adds minor overhead but stays close. -Comparing scan and stream compaction for sizes ranging from 260K elements 260M elements: +Comparing scan and stream compaction for sizes ranging from 260K to 260M elements: ### Time vs Log(Size) ![Timings (Both)](plots/timings_plot_both.png) -Here we can see how the timings for Naive GPU method and CPU method are both increasing much faster than the Work-Efficient versions. This is true for both powers of two sizes and non-powers of two sizes (Recall that we pad the non-powers of two sizes to the next power of two). Below we highlight the differences in the timings more clearly by plotting the log-log over an extended range of sizes. Note that the CPU implementation is not the serial version of the Naive scan, I have tried to implement the fastest serial scan and compaction I can to have a good baseline. +Here we can see how the timings for the naive GPU method and the CPU method increase much faster than the work‑efficient versions. This is true for both power‑of‑two and non‑power‑of‑two sizes (recall that we pad NPOT sizes to the next power of two). The NPOT cases have nearly the same timings as the power‑of‑two cases, with slight overhead. Below we highlight the differences more clearly by plotting the log‑log over an extended range of sizes. Note that the CPU implementation is not the serial version of the naive scan. I have tried to implement the fastest serial scan and compaction I can to have a good baseline. ### Log(Time) vs Log(Size) - We plot a log-log plot to get a better idea of the differences below. This includes the whole range of values starting at 256 elements and going all the way to 256M values. Notice how the CPU version is faster until we have arrays big enough to take advantage of the parallelization overhead. Also, note how hardware optimization makes the Efficient scan much faster than the naive version. If I were to use global memory, I suspect my scan and compaction would have been a lot slower (closer to Naive scan). + We plot a log-log plot to get a better idea of the differences below. This includes the whole range of values starting at 256 elements and going all the way to 256M values. Notice how the CPU version is faster until arrays are large enough to overcome the parallelization overhead. Also note how hardware optimizations make the work‑efficient scan much faster than the naive version. If I were to use global memory, I suspect my scan and compaction would have been a lot slower (closer to the naive scan). ![Timings (POW2, log‑log)](plots/timings_plot_both_loglog_full.png) -You can find the raw images and variants in `plots/` if you want the linear‑scale or separate power of two and non-power of two versions. +You can find the raw images and variants in `plots/` if you want the linear‑scale or separate power‑of‑two and NPOT versions. -### Optimizing BlockSize -I ran the Efficient Compaction for multiple Block Sizes to get the best blockSize for my implementation. Here are the timings for 33M elements (2 ^ 25), and averaged them over 10 runs. -![Timings (blockSizes)](plots/blocksize_avg.png) -A blockSize of 128 seems to be a good choice to use in my implementation of Efficient::compact. \ No newline at end of file +### Optimizing Block Size +I ran the work‑efficient compaction for multiple block sizes to get the best block size for my implementation. Here are the timings for 33M elements (2^25), averaged over 10 runs. +![Timings (block sizes)](plots/blocksize_avg.png) +A block size of 128 seems to be a good choice for `Efficient::compact`. + +## Implementation + +### CPU Scan and Compact +The CPU scan is a serialized scan that runs over the array and adds the previous element to the next elements serially. I made this implementation as simple as possible and haven't tried to replicate Naive scan serially since I wanted a good baseline against the GPU. +The CPU compact has two variants that compact with and without using scan. + +### Naive Scan and Compact +The naive scan follows the implementation below: +![](img/figure-39-2.jpg) + +This is an inclusive scan. I wrote a kernel `Naive::make_exclusive` that shifts the inclusive scan to the right and sets the first element to zero. I used ping-ponging buffers to calculate the scan across steps. + +`Naive::compact` creates a bool array using `Common::kernMapToBoolean` and uses `Naive::scan` to get an array of indices. The output is then filled in by using the bool array and the array of indices in `Common::kernScatter`. +We use global memory throught this process, and there is a lot of wasted work, which makes the naive implementation very slow. + +### Efficient Scan + +`Efficient::recursiveScan` divides the array into chunks and each block uses shared memory. The blocks are scanned using `Efficient::multiscan` (which follows the implementation in [39.2](https://developer.nvidia.com/gpugems/gpugems3/part-vi-gpu-computing/chapter-39-parallel-prefix-sum-scan-cuda)). The sum of all elements in a chunk (the last element of the individual scan) is stored inside `blockSums`, which is then scanned again recursively using `Efficient::recursiveScan`. The output is then shifted using the `blockSums` array and this results in a complete scan of arbitrary sized arrays in parallel. + +#### `Efficient::mutiscan` + +`Efficient::multiscan` is based on the pre-scan implemented in [39.2.2](https://developer.nvidia.com/gpugems/gpugems3/part-vi-gpu-computing/chapter-39-parallel-prefix-sum-scan-cuda)(`Efficient::recursiveScan`). My implementation extends this to accommodate **arbitrary-sized** arrays. `multiscan` takes in arbitrary sized arrays in global memory and uses **shared memory** within each single block. It computes the scan for each chunk and stores the result to the global output. It also stores the last element from each chunk to `blockSums`. I have used strided indexing to **prevent bank conflicts** as suggested in [39.2.4]((https://developer.nvidia.com/gpugems/gpugems3/part-vi-gpu-computing/chapter-39-parallel-prefix-sum-scan-cuda)). + +However, I noticed that the macros provided in 39.2.3 were incorrect, as the number of banks have increased to 32 in recent GPU architectures and the macro for CONFLICT_FREE_OFFSET(n) had been incorrectly calculated (see [blog](https://forums.developer.nvidia.com/t/conflict-free-offset-macro-why-and-how-does-it-work/343324)). + +I replaced it with the correct macros: + +**Correct Macros**: +``` +#define NUM_BANKS 32 +#define LOG_NUM_BANKS 5 +#define CONFLICT_FREE_OFFSET(n) ((n) >>(LOG_NUM_BANKS)) +``` +Incorrect Macros: +``` +// #define NUM_BANKS 16 +// #define LOG_NUM_BANKS 4 +// #define CONFLICT_FREE_OFFSET(n)((n) >> NUM_BANKS + (n) >> (2 * LOG_NUM_BANKS)) +``` + +#### `Efficient::recursiveScan` + +My implementation of `Efficient::multiscan` was working well until I started to scan arrays of very large sizes (~ 2M i.e. 2^21 elements). This is when I realized that the array of accumulated sums `blockSums` was getting too large to be scanned using a single Chunk. I considered using CPU::scan or a Naive Scan to fix this issue, but I knew that the performance hit would be a lot, especially in moving data between devices or allocation/reallocation. So I decided to use recursion to fix this issue. + +recursiveScan accepts arbitrary-sized arrays, calls `Efficient::multiscan` to compute scan of individual chunks, collects `blockSums`; and recursively calls `Efficient::recursiveScan` to compute the scan of `blockSums`. After getting this scan, the output array(containing the scan of all elements) is shifted by the elements in `blockSums` using `Efficient::uniformAdd`. This gets around the issues of computing the scan of `blockSums` for large arrays that don't fit inside a single chunk. + + +### Thrust Scan +Thrust::scan is very simple, the code is as follows: +``` +copy host -> device +thrust::device_vector d_in(idata, idata + n); +thrust::device_vector d_out(n); + +timer().startGpuTimer(); +// exclusive scan on device +thrust::exclusive_scan(d_in.begin(), d_in.end(), d_out.begin()); +cudaDeviceSynchronize(); // ensure timing is correct +timer().endGpuTimer(); + +// copy device -> host +thrust::copy(d_out.begin(), d_out.end(), odata); +``` +Even though thrust is CUDA's own implementation of exclusive scan, we can see that our work-efficient scan seems to perform better. This likely comes down to how we record the timings for the scan. There are a few possibilities I think might be causing this: + +* The memory allocation (`cudaMalloc`)for temporary arrays is probably happening after `thrust::exclusive_scan` is called, and is being counted in the GPU timing. This is not the case when we have finer control over where to insert the timer as in our other implementations. + +* Although we pre-copy and allocate the data using `thrust::device_vector` for the thrust scan, the actual allocation might be happening asynchronously inside the timer loop. + +* The GPU might not be warmed up and that can have some overhead. Recall how in all other methods we allocate and copy and do operations on arrays before starting the timer. + +I ran a profile on NSight Compute and got the following profile for thrust::exclusive_scan: +![](img/thrust_profile.png) +The operation is memory-limited, which makes sense for a scan. The compute throughput is low for all kernels, which means that the threads are waiting for memory access rather than compute. + +`static_kernel` has especially low compute - this might be happening because the static kernel is allocating temporary arrays while the Scan kernel performs the actual scan, but this is just a guess without looking at the code. + +#### Testing and Plotting + +The timings shown in this report are the exact times used by the CPU and GPU in calculating the scan. This does not include the times allocating memory for the scan function,copying memory between host and device etc. There are some nuances in `Efficient::scan` (`recursiveScan`) and `Thrust::scan` timings (discussed in more detail later), where intermediate arrays are allocated within the scan loop, so these are counted. But all other arrays like bools, indices etc. are preallocated and copied, and the output is copied to host after stopping the timers. + +I rewrote some of the code in `main.cpp` to get a format easier to read algorithmically and plot. I then diverted the `std::cout` to a file `timings.txt` (See `\plots\data`), where I read the txt file using python and computed the averages over multiple runs and plotted it using python (see `\plots\code`). I did the same for optimizing blockSizes. + +Original Output: +``` +**************** +** SCAN TESTS ** +**************** + [ 18 36 37 45 18 24 5 36 41 3 46 20 41 ... 3 0 ] +==== cpu scan, power-of-two ==== + elapsed time: 15.6374ms (std::chrono Measured) + [ 0 18 54 91 136 154 178 183 219 260 263 309 329 ... 821845107 821845110 ] +==== cpu scan, non-power-of-two ==== + elapsed time: 16.7006ms (std::chrono Measured) + [ 0 18 54 91 136 154 178 183 219 260 263 309 329 ... 821845015 821845057 ] +passed +==== naive scan, power-of-two ==== + elapsed time: 25.4879ms (CUDA Measured) +passed +==== naive scan, non-power-of-two ==== + elapsed time: 25.2602ms (CUDA Measured) +passed +==== work-efficient scan, power-of-two ==== + elapsed time: 3.4472ms (CUDA Measured) +passed +==== work-efficient scan, non-power-of-two ==== + elapsed time: 2.82419ms (CUDA Measured) +passed +==== thrust scan, power-of-two ==== + elapsed time: 1.5953ms (CUDA Measured) +passed +==== thrust scan, non-power-of-two ==== + elapsed time: 1.8985ms (CUDA Measured) +passed + +***************************** +** STREAM COMPACTION TESTS ** +***************************** + [ 1 3 1 2 1 3 2 1 1 1 0 2 1 ... 2 0 ] +==== cpu compact without scan, power-of-two ==== + elapsed time: 55.6823ms (std::chrono Measured) + [ 1 3 1 2 1 3 2 1 1 1 2 1 2 ... 3 2 ] +passed +==== cpu compact without scan, non-power-of-two ==== + elapsed time: 57.0865ms (std::chrono Measured) + [ 1 3 1 2 1 3 2 1 1 1 2 1 2 ... 2 3 ] +passed +==== cpu compact with scan ==== + elapsed time: 100.3ms (std::chrono Measured) + [ 1 3 1 2 1 3 2 1 1 1 2 1 2 ... 3 2 ] +passed +==== work-efficient compact, power-of-two ==== + elapsed time: 5.62285ms (CUDA Measured) + [ 1 3 1 2 1 3 2 1 1 1 2 1 2 ... 3 2 ] +passed +==== work-efficient compact, non-power-of-two ==== + elapsed time: 5.44666ms (CUDA Measured) + [ 1 3 1 2 1 3 2 1 1 1 2 1 2 ... 2 3 ] +passed +Press any key to continue . . . +``` +Testing Output: +``` +** SCAN TESTS ** +SIZE= 33554432 +17.3174 +16.2627 +25.3695 +25.0887 +3.09696 +2.87846 +1.57798 +1.72134 + +58.9666 +61.3826 +103.195 +5.72349 +5.43437 +``` +I tried a for loop in c++ to get multiple such runs, but the code was running asynchronously and I was getting incorrect timings. I tried using `cudaDeviceSynchronize()` and/or `cudaDeviceReset()` between calls, but these didn't solve my timings issues. + +Since the number of runs weren't very large, I ended up running each input multiple times in Visual Studio and appending to a timings.txt using `iostream`. + +#### Notes + +- Likely Performance Bottlenecks: + - CPU - Serialization, fundamentally what we're trying to solve + - Naive - Global I/O reads and writes, unused threads in blocks. + - Thrust - Likely appears slow due to difference in time-calculation. + - Efficient-Work - Quite fast - other optimizations include ping-ponging buffers in `recursiveScan` to reduce allocation. +- Memory allocation takes time - scan is quite memory-intensive, curious about ways to reduce memory footprint. Also curious to see how my scan compares to thrust when comparing wall-clock time. +- Would be interesting to quantify the speedup from reducing Bank-Conflicts compared to traditional indexing. 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z76{+iz=dcf8HzrXuCgieG-xNDlfIN~c@!NuZWno^DYDh2u#N3vnSFu-4t}t~=3@{_ uyqb6%r0(_m9Bj3=?x7A3oJ%DN56RrP$Qg}L7mpK9E6Azb$-edI+5ZAq6PBa^ literal 0 HcmV?d00001 diff --git a/plots/code/plotting.py b/plots/code/plotting.py index e18a978a..be1c4296 100644 --- a/plots/code/plotting.py +++ b/plots/code/plotting.py @@ -6,18 +6,22 @@ import matplotlib.pyplot as plt from matplotlib.ticker import FuncFormatter, LogLocator, FixedLocator, LogFormatterMathtext -# Configuration -INPUT_PATH = Path("../data/timings.txt") -OUTPUT_ALL_RUNS_CSV = Path("../data/timings_all_runs_long.csv") -OUTPUT_AVG_CSV = Path("../data/timings_avg.csv") -OUTPUT_PLOT = Path("../data/timings_plot.png") -OUTPUT_PLOT_POW2 = Path("../timings_plot_pow2.png") -OUTPUT_PLOT_NONPOW2 = Path("../timings_plot_nonpow2.png") -OUTPUT_PLOT_BOTH = Path("../timings_plot_both.png") -OUTPUT_PLOT_BOTH_LOG = Path("../timings_plot_both_loglog.png") -OUTPUT_PLOT_POW2_LOG = Path("../timings_plot_pow2_loglog.png") -OUTPUT_PLOT_NONPOW2_LOG = Path("../timings_plot_nonpow2_loglog.png") -OUTPUT_PLOT_BOTH_LOG_FULL = Path("../timings_plot_both_loglog_full.png") +# Configuration (resolve paths relative to this file for robustness) +BASE_DIR = Path(__file__).resolve().parent # plots/code +PLOTS_DIR = BASE_DIR.parent # plots +DATA_DIR = PLOTS_DIR / "data" # plots/data + +INPUT_PATH = DATA_DIR / "timings.txt" +OUTPUT_ALL_RUNS_CSV = DATA_DIR / "timings_all_runs_long.csv" +OUTPUT_AVG_CSV = DATA_DIR / "timings_avg.csv" +OUTPUT_PLOT = DATA_DIR / "timings_plot.png" +OUTPUT_PLOT_POW2 = PLOTS_DIR / "timings_plot_pow2.png" +OUTPUT_PLOT_NONPOW2 = PLOTS_DIR / "timings_plot_nonpow2.png" +OUTPUT_PLOT_BOTH = PLOTS_DIR / "timings_plot_both.png" +OUTPUT_PLOT_BOTH_LOG = PLOTS_DIR / "timings_plot_both_loglog.png" +OUTPUT_PLOT_POW2_LOG = PLOTS_DIR / "timings_plot_pow2_loglog.png" +OUTPUT_PLOT_NONPOW2_LOG = PLOTS_DIR / "timings_plot_nonpow2_loglog.png" +OUTPUT_PLOT_BOTH_LOG_FULL = PLOTS_DIR / "timings_plot_both_loglog_full.png" # If your numbers are in seconds (very likely), set this to True to convert # to milliseconds for plotting convenience. @@ -237,9 +241,9 @@ def label_for_method(method: str, suite: str, subset: str) -> str: else: plot_df["time_val"] = plot_df["time_s"] - # Optional filter on minimum size for plotting + # Optional filter on minimum size for plotting (strictly greater than) if min_size is not None: - plot_df = plot_df[plot_df["size"] >= min_size] + plot_df = plot_df[plot_df["size"] > min_size] # Use all sizes; split by method family (pow2/nonpow2) sizes = sorted(plot_df["size"].unique()) @@ -350,11 +354,34 @@ def select_methods(all_methods: List[str]) -> List[str]: ax.legend(fontsize=8, ncol=2, loc="upper left", bbox_to_anchor=(0, 1.02)) ax.grid(True, which="both", linestyle="--", alpha=0.4) - subset_note = { - "all": "All sizes", + # Build a clear, accurate title segment about the size subset. + # If a minimum size filter excludes smaller inputs, reflect that using + # compact binary units (e.g., "256k" instead of 2^18). + overall_min_size = int(avg_df["size"].min()) if not avg_df.empty else None + def _fmt_min(s: int) -> str: + if s is None: + return "" + # Prefer binary multiples: k, M, G + for unit, factor in (("k", 1024), ("M", 1024**2), ("G", 1024**3)): + if s % factor == 0 and s >= factor: + val = s // factor + # Keep it simple (e.g., 256k, 1M, 4G) + return f"{val}{unit}" + return f"{s:,}" + + filtered = ( + min_size is not None + and overall_min_size is not None + and min_size > overall_min_size + ) + base_subset = { + "all": "All sizes" if not filtered else "Sizes", "pow2": "Power-of-two sizes", "nonpow2": "Non-power-of-two sizes", - }.get(method_subset, "All sizes") + }.get(method_subset, "All sizes" if not filtered else "Sizes") + subset_note = ( + f"{base_subset} > {_fmt_min(min_size)}" if filtered else base_subset + ) y_unit = "ms" if to_ms else "s" if log_x and log_y: scale_note = " [log-x, log-y]" diff --git a/plots/timings_plot_both.png b/plots/timings_plot_both.png 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