cuda-samples/Samples/shfl_scan/shfl_scan.cu

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// Shuffle intrinsics CUDA Sample
// This sample demonstrates the use of the shuffle intrinsic
// First, a simple example of a prefix sum using the shuffle to
// perform a scan operation is provided.
// Secondly, a more involved example of computing an integral image
// using the shuffle intrinsic is provided, where the shuffle
// scan operation and shuffle xor operations are used

#include <stdio.h>

#include <cuda_runtime.h>

#include <helper_cuda.h>
#include <helper_functions.h>
#include "shfl_integral_image.cuh"

// Scan using shfl - takes log2(n) steps
// This function demonstrates basic use of the shuffle intrinsic, __shfl_up,
// to perform a scan operation across a block.
// First, it performs a scan (prefix sum in this case) inside a warp
// Then to continue the scan operation across the block,
// each warp's sum is placed into shared memory.  A single warp
// then performs a shuffle scan on that shared memory.  The results
// are then uniformly added to each warp's threads.
// This pyramid type approach is continued by placing each block's
// final sum in global memory and prefix summing that via another kernel call,
// then uniformly adding across the input data via the uniform_add<<<>>> kernel.

__global__ void shfl_scan_test(int *data, int width, int *partial_sums = NULL) {
  extern __shared__ int sums[];
  int id = ((blockIdx.x * blockDim.x) + threadIdx.x);
  int lane_id = id % warpSize;
  // determine a warp_id within a block
  int warp_id = threadIdx.x / warpSize;

  // Below is the basic structure of using a shfl instruction
  // for a scan.
  // Record "value" as a variable - we accumulate it along the way
  int value = data[id];

  // Now accumulate in log steps up the chain
  // compute sums, with another thread's value who is
  // distance delta away (i).  Note
  // those threads where the thread 'i' away would have
  // been out of bounds of the warp are unaffected.  This
  // creates the scan sum.

#pragma unroll
  for (int i = 1; i <= width; i *= 2) {
    unsigned int mask = 0xffffffff;
    int n = __shfl_up_sync(mask, value, i, width);

    if (lane_id >= i) value += n;
  }

  // value now holds the scan value for the individual thread
  // next sum the largest values for each warp

  // write the sum of the warp to smem
  if (threadIdx.x % warpSize == warpSize - 1) {
    sums[warp_id] = value;
  }

  __syncthreads();

  //
  // scan sum the warp sums
  // the same shfl scan operation, but performed on warp sums
  //
  if (warp_id == 0 && lane_id < (blockDim.x / warpSize)) {
    int warp_sum = sums[lane_id];

    int mask = (1 << (blockDim.x / warpSize)) - 1;
    for (int i = 1; i <= (blockDim.x / warpSize); i *= 2) {
      int n = __shfl_up_sync(mask, warp_sum, i, (blockDim.x / warpSize));

      if (lane_id >= i) warp_sum += n;
    }

    sums[lane_id] = warp_sum;
  }

  __syncthreads();

  // perform a uniform add across warps in the block
  // read neighbouring warp's sum and add it to threads value
  int blockSum = 0;

  if (warp_id > 0) {
    blockSum = sums[warp_id - 1];
  }

  value += blockSum;

  // Now write out our result
  data[id] = value;

  // last thread has sum, write write out the block's sum
  if (partial_sums != NULL && threadIdx.x == blockDim.x - 1) {
    partial_sums[blockIdx.x] = value;
  }
}

// Uniform add: add partial sums array
__global__ void uniform_add(int *data, int *partial_sums, int len) {
  __shared__ int buf;
  int id = ((blockIdx.x * blockDim.x) + threadIdx.x);

  if (id > len) return;

  if (threadIdx.x == 0) {
    buf = partial_sums[blockIdx.x];
  }

  __syncthreads();
  data[id] += buf;
}

static unsigned int iDivUp(unsigned int dividend, unsigned int divisor) {
  return ((dividend % divisor) == 0) ? (dividend / divisor)
                                     : (dividend / divisor + 1);
}

// This function verifies the shuffle scan result, for the simple
// prefix sum case.
bool CPUverify(int *h_data, int *h_result, int n_elements) {
  // cpu verify
  for (int i = 0; i < n_elements - 1; i++) {
    h_data[i + 1] = h_data[i] + h_data[i + 1];
  }

  int diff = 0;

  for (int i = 0; i < n_elements; i++) {
    diff += h_data[i] - h_result[i];
  }

  printf("CPU verify result diff (GPUvsCPU) = %d\n", diff);
  bool bTestResult = false;

  if (diff == 0) bTestResult = true;

  StopWatchInterface *hTimer = NULL;
  sdkCreateTimer(&hTimer);
  sdkResetTimer(&hTimer);
  sdkStartTimer(&hTimer);

  for (int j = 0; j < 100; j++)
    for (int i = 0; i < n_elements - 1; i++) {
      h_data[i + 1] = h_data[i] + h_data[i + 1];
    }

  sdkStopTimer(&hTimer);
  double cput = sdkGetTimerValue(&hTimer);
  printf("CPU sum (naive) took %f ms\n", cput / 100);
  return bTestResult;
}

// this verifies the row scan result for synthetic data of all 1's
unsigned int verifyDataRowSums(unsigned int *h_image, int w, int h) {
  unsigned int diff = 0;

  for (int j = 0; j < h; j++) {
    for (int i = 0; i < w; i++) {
      int gold = i + 1;
      diff +=
          abs(static_cast<int>(gold) - static_cast<int>(h_image[j * w + i]));
    }
  }

  return diff;
}

bool shuffle_simple_test(int argc, char **argv) {
  int *h_data, *h_partial_sums, *h_result;
  int *d_data, *d_partial_sums;
  const int n_elements = 65536;
  int sz = sizeof(int) * n_elements;
  int cuda_device = 0;

  printf("Starting shfl_scan\n");

  // use command-line specified CUDA device, otherwise use device with highest
  // Gflops/s
  cuda_device = findCudaDevice(argc, (const char **)argv);

  cudaDeviceProp deviceProp;
  checkCudaErrors(cudaGetDevice(&cuda_device));

  checkCudaErrors(cudaGetDeviceProperties(&deviceProp, cuda_device));

  printf("> Detected Compute SM %d.%d hardware with %d multi-processors\n",
         deviceProp.major, deviceProp.minor, deviceProp.multiProcessorCount);

  // __shfl intrinsic needs SM 3.0 or higher
  if (deviceProp.major < 3) {
    printf("> __shfl() intrinsic requires device SM 3.0+\n");
    printf("> Waiving test.\n");
    exit(EXIT_WAIVED);
  }

  checkCudaErrors(cudaMallocHost(reinterpret_cast<void **>(&h_data),
                                 sizeof(int) * n_elements));
  checkCudaErrors(cudaMallocHost(reinterpret_cast<void **>(&h_result),
                                 sizeof(int) * n_elements));

  // initialize data:
  printf("Computing Simple Sum test\n");
  printf("---------------------------------------------------\n");

  printf("Initialize test data [1, 1, 1...]\n");

  for (int i = 0; i < n_elements; i++) {
    h_data[i] = 1;
  }

  int blockSize = 256;
  int gridSize = n_elements / blockSize;
  int nWarps = blockSize / 32;
  int shmem_sz = nWarps * sizeof(int);
  int n_partialSums = n_elements / blockSize;
  int partial_sz = n_partialSums * sizeof(int);

  printf("Scan summation for %d elements, %d partial sums\n", n_elements,
         n_elements / blockSize);

  int p_blockSize = min(n_partialSums, blockSize);
  int p_gridSize = iDivUp(n_partialSums, p_blockSize);
  printf("Partial summing %d elements with %d blocks of size %d\n",
         n_partialSums, p_gridSize, p_blockSize);

  // initialize a timer
  cudaEvent_t start, stop;
  checkCudaErrors(cudaEventCreate(&start));
  checkCudaErrors(cudaEventCreate(&stop));
  float et = 0;
  float inc = 0;

  checkCudaErrors(cudaMalloc(reinterpret_cast<void **>(&d_data), sz));
  checkCudaErrors(
      cudaMalloc(reinterpret_cast<void **>(&d_partial_sums), partial_sz));
  checkCudaErrors(cudaMemset(d_partial_sums, 0, partial_sz));

  checkCudaErrors(
      cudaMallocHost(reinterpret_cast<void **>(&h_partial_sums), partial_sz));
  checkCudaErrors(cudaMemcpy(d_data, h_data, sz, cudaMemcpyHostToDevice));

  checkCudaErrors(cudaEventRecord(start, 0));
  shfl_scan_test<<<gridSize, blockSize, shmem_sz>>>(d_data, 32, d_partial_sums);
  shfl_scan_test<<<p_gridSize, p_blockSize, shmem_sz>>>(d_partial_sums, 32);
  uniform_add<<<gridSize - 1, blockSize>>>(d_data + blockSize, d_partial_sums,
                                           n_elements);
  checkCudaErrors(cudaEventRecord(stop, 0));
  checkCudaErrors(cudaEventSynchronize(stop));
  checkCudaErrors(cudaEventElapsedTime(&inc, start, stop));
  et += inc;

  checkCudaErrors(cudaMemcpy(h_result, d_data, sz, cudaMemcpyDeviceToHost));
  checkCudaErrors(cudaMemcpy(h_partial_sums, d_partial_sums, partial_sz,
                             cudaMemcpyDeviceToHost));

  printf("Test Sum: %d\n", h_partial_sums[n_partialSums - 1]);
  printf("Time (ms): %f\n", et);
  printf("%d elements scanned in %f ms -> %f MegaElements/s\n", n_elements, et,
         n_elements / (et / 1000.0f) / 1000000.0f);

  bool bTestResult = CPUverify(h_data, h_result, n_elements);

  checkCudaErrors(cudaFreeHost(h_data));
  checkCudaErrors(cudaFreeHost(h_result));
  checkCudaErrors(cudaFreeHost(h_partial_sums));
  checkCudaErrors(cudaFree(d_data));
  checkCudaErrors(cudaFree(d_partial_sums));

  return bTestResult;
}

// This function tests creation of an integral image using
// synthetic data, of size 1920x1080 pixels greyscale.
bool shuffle_integral_image_test() {
  char *d_data;
  unsigned int *h_image;
  unsigned int *d_integral_image;
  int w = 1920;
  int h = 1080;
  int n_elements = w * h;
  int sz = sizeof(unsigned int) * n_elements;

  printf("\nComputing Integral Image Test on size %d x %d synthetic data\n", w,
         h);
  printf("---------------------------------------------------\n");
  checkCudaErrors(cudaMallocHost(reinterpret_cast<void **>(&h_image), sz));
  // fill test "image" with synthetic 1's data
  memset(h_image, 0, sz);

  // each thread handles 16 values, use 1 block/row
  int blockSize = iDivUp(w, 16);
  // launch 1 block / row
  int gridSize = h;

  // Create a synthetic image for testing
  checkCudaErrors(cudaMalloc(reinterpret_cast<void **>(&d_data), sz));
  checkCudaErrors(cudaMalloc(reinterpret_cast<void **>(&d_integral_image),
                             n_elements * sizeof(int) * 4));
  checkCudaErrors(cudaMemset(d_data, 1, sz));
  checkCudaErrors(cudaMemset(d_integral_image, 0, sz));

  cudaEvent_t start, stop;
  cudaEventCreate(&start);
  cudaEventCreate(&stop);
  float et = 0;
  unsigned int err;

  // Execute scan line prefix sum kernel, and time it
  cudaEventRecord(start);
  shfl_intimage_rows<<<gridSize, blockSize>>>(
      reinterpret_cast<uint4 *>(d_data),
      reinterpret_cast<uint4 *>(d_integral_image));
  cudaEventRecord(stop);
  checkCudaErrors(cudaEventSynchronize(stop));
  checkCudaErrors(cudaEventElapsedTime(&et, start, stop));
  printf("Method: Fast  Time (GPU Timer): %f ms ", et);

  // verify the scan line results
  checkCudaErrors(
      cudaMemcpy(h_image, d_integral_image, sz, cudaMemcpyDeviceToHost));
  err = verifyDataRowSums(h_image, w, h);
  printf("Diff = %d\n", err);

  // Execute column prefix sum kernel and time it
  dim3 blockSz(32, 8);
  dim3 testGrid(w / blockSz.x, 1);

  cudaEventRecord(start);
  shfl_vertical_shfl<<<testGrid, blockSz>>>((unsigned int *)d_integral_image, w,
                                            h);
  cudaEventRecord(stop);
  checkCudaErrors(cudaEventSynchronize(stop));
  checkCudaErrors(cudaEventElapsedTime(&et, start, stop));
  printf("Method: Vertical Scan  Time (GPU Timer): %f ms ", et);

  // Verify the column results
  checkCudaErrors(
      cudaMemcpy(h_image, d_integral_image, sz, cudaMemcpyDeviceToHost));
  printf("\n");

  int finalSum = h_image[w * h - 1];
  printf("CheckSum: %d, (expect %dx%d=%d)\n", finalSum, w, h, w * h);

  checkCudaErrors(cudaFree(d_data));
  checkCudaErrors(cudaFree(d_integral_image));
  checkCudaErrors(cudaFreeHost(h_image));
  // verify final sum: if the final value in the corner is the same as the size
  // of the buffer (all 1's) then the integral image was generated successfully
  return (finalSum == w * h) ? true : false;
}

int main(int argc, char *argv[]) {
  // Initialization.  The shuffle intrinsic is not available on SM < 3.0
  // so waive the test if the hardware is not present.
  int cuda_device = 0;

  printf("Starting shfl_scan\n");

  // use command-line specified CUDA device, otherwise use device with highest
  // Gflops/s
  cuda_device = findCudaDevice(argc, (const char **)argv);

  cudaDeviceProp deviceProp;
  checkCudaErrors(cudaGetDevice(&cuda_device));

  checkCudaErrors(cudaGetDeviceProperties(&deviceProp, cuda_device));

  printf("> Detected Compute SM %d.%d hardware with %d multi-processors\n",
         deviceProp.major, deviceProp.minor, deviceProp.multiProcessorCount);

  // __shfl intrinsic needs SM 3.0 or higher
  if (deviceProp.major < 3) {
    printf("> __shfl() intrinsic requires device SM 3.0+\n");
    printf("> Waiving test.\n");
    exit(EXIT_WAIVED);
  }

  bool bTestResult = true;
  bool simpleTest = shuffle_simple_test(argc, argv);
  bool intTest = shuffle_integral_image_test();

  bTestResult = simpleTest & intTest;

  exit((bTestResult) ? EXIT_SUCCESS : EXIT_FAILURE);
}