////////////////////////////////////////////////////////////////////////////
//
// Copyright 1993-2015 NVIDIA Corporation.  All rights reserved.
//
// Please refer to the NVIDIA end user license agreement (EULA) associated
// with this source code for terms and conditions that govern your use of
// this software. Any use, reproduction, disclosure, or distribution of
// this software and related documentation outside the terms of the EULA
// is strictly prohibited.
//
////////////////////////////////////////////////////////////////////////////

// ----------------------------------------------------------------------------------------
// Transpose
//
// This file contains both device and host code for transposing a floating-point
// matrix.  It performs several transpose kernels, which incrementally improve performance
// through coalescing, removing shared memory bank conflicts, and eliminating partition
// camping.  Several of the kernels perform a copy, used to represent the best case
// performance that a transpose can achieve.
//
// Please see the whitepaper in the docs folder of the transpose project for a detailed
// description of this performance study.
// ----------------------------------------------------------------------------------------

// Utilities and system includes
#include <helper_string.h>    // helper for string parsing
#include <helper_image.h>     // helper for image and data comparison
#include <helper_cuda.h>      // helper for cuda error checking functions

const char *sSDKsample = "Transpose";

// Each block transposes/copies a tile of TILE_DIM x TILE_DIM elements
// using TILE_DIM x BLOCK_ROWS threads, so that each thread transposes
// TILE_DIM/BLOCK_ROWS elements.  TILE_DIM must be an integral multiple of BLOCK_ROWS

#define TILE_DIM    16
#define BLOCK_ROWS  16

// This sample assumes that MATRIX_SIZE_X = MATRIX_SIZE_Y
int MATRIX_SIZE_X = 1024;
int MATRIX_SIZE_Y = 1024;
int MUL_FACTOR    = TILE_DIM;

#define FLOOR(a,b) (a-(a%b))

// Compute the tile size necessary to illustrate performance cases for SM20+ hardware
int MAX_TILES = (FLOOR(MATRIX_SIZE_X,512) * FLOOR(MATRIX_SIZE_Y,512)) / (TILE_DIM *TILE_DIM);

// Number of repetitions used for timing.  Two sets of repetitions are performed:
// 1) over kernel launches and 2) inside the kernel over just the loads and stores

#define NUM_REPS  100

// -------------------------------------------------------
// Copies
// width and height must be integral multiples of TILE_DIM
// -------------------------------------------------------

__global__ void copy(float *odata, float *idata, int width, int height)
{
    int xIndex = blockIdx.x * TILE_DIM + threadIdx.x;
    int yIndex = blockIdx.y * TILE_DIM + threadIdx.y;

    int index  = xIndex + width*yIndex;

    for (int i=0; i<TILE_DIM; i+=BLOCK_ROWS)
    {
        odata[index+i*width] = idata[index+i*width];
    }

}

__global__ void copySharedMem(float *odata, float *idata, int width, int height)
{
    __shared__ float tile[TILE_DIM][TILE_DIM];

    int xIndex = blockIdx.x * TILE_DIM + threadIdx.x;
    int yIndex = blockIdx.y * TILE_DIM + threadIdx.y;

    int index  = xIndex + width*yIndex;

    for (int i=0; i<TILE_DIM; i+=BLOCK_ROWS)
    {
        if (xIndex < width && yIndex < height)
        {
            tile[threadIdx.y][threadIdx.x] = idata[index];
        }
    }

    __syncthreads();

    for (int i=0; i<TILE_DIM; i+=BLOCK_ROWS)
    {
        if (xIndex < height && yIndex < width)
        {
            odata[index] = tile[threadIdx.y][threadIdx.x];
        }
    }
}

// -------------------------------------------------------
// Transposes
// width and height must be integral multiples of TILE_DIM
// -------------------------------------------------------

__global__ void transposeNaive(float *odata, float *idata, int width, int height)
{
    int xIndex = blockIdx.x * TILE_DIM + threadIdx.x;
    int yIndex = blockIdx.y * TILE_DIM + threadIdx.y;

    int index_in  = xIndex + width * yIndex;
    int index_out = yIndex + height * xIndex;

    for (int i=0; i<TILE_DIM; i+=BLOCK_ROWS)
    {
        odata[index_out+i] = idata[index_in+i*width];
    }
}

// coalesced transpose (with bank conflicts)

__global__ void transposeCoalesced(float *odata, float *idata, int width, int height)
{
    __shared__ float tile[TILE_DIM][TILE_DIM];

    int xIndex = blockIdx.x * TILE_DIM + threadIdx.x;
    int yIndex = blockIdx.y * TILE_DIM + threadIdx.y;
    int index_in = xIndex + (yIndex)*width;

    xIndex = blockIdx.y * TILE_DIM + threadIdx.x;
    yIndex = blockIdx.x * TILE_DIM + threadIdx.y;
    int index_out = xIndex + (yIndex)*height;

    for (int i=0; i<TILE_DIM; i+=BLOCK_ROWS)
    {
        tile[threadIdx.y+i][threadIdx.x] = idata[index_in+i*width];
    }

    __syncthreads();

    for (int i=0; i<TILE_DIM; i+=BLOCK_ROWS)
    {
        odata[index_out+i*height] = tile[threadIdx.x][threadIdx.y+i];
    }
}

// Coalesced transpose with no bank conflicts

__global__ void transposeNoBankConflicts(float *odata, float *idata, int width, int height)
{
    __shared__ float tile[TILE_DIM][TILE_DIM+1];

    int xIndex = blockIdx.x * TILE_DIM + threadIdx.x;
    int yIndex = blockIdx.y * TILE_DIM + threadIdx.y;
    int index_in = xIndex + (yIndex)*width;

    xIndex = blockIdx.y * TILE_DIM + threadIdx.x;
    yIndex = blockIdx.x * TILE_DIM + threadIdx.y;
    int index_out = xIndex + (yIndex)*height;

    for (int i=0; i<TILE_DIM; i+=BLOCK_ROWS)
    {
        tile[threadIdx.y+i][threadIdx.x] = idata[index_in+i*width];
    }

    __syncthreads();

    for (int i=0; i<TILE_DIM; i+=BLOCK_ROWS)
    {
        odata[index_out+i*height] = tile[threadIdx.x][threadIdx.y+i];
    }
}

// Transpose that effectively reorders execution of thread blocks along diagonals of the
// matrix (also coalesced and has no bank conflicts)
//
// Here blockIdx.x is interpreted as the distance along a diagonal and blockIdx.y as
// corresponding to different diagonals
//
// blockIdx_x and blockIdx_y expressions map the diagonal coordinates to the more commonly
// used cartesian coordinates so that the only changes to the code from the coalesced version
// are the calculation of the blockIdx_x and blockIdx_y and replacement of blockIdx.x and
// bloclIdx.y with the subscripted versions in the remaining code

__global__ void transposeDiagonal(float *odata, float *idata, int width, int height)
{
    __shared__ float tile[TILE_DIM][TILE_DIM+1];

    int blockIdx_x, blockIdx_y;

    // do diagonal reordering
    if (width == height)
    {
        blockIdx_y = blockIdx.x;
        blockIdx_x = (blockIdx.x+blockIdx.y)%gridDim.x;
    }
    else
    {
        int bid = blockIdx.x + gridDim.x*blockIdx.y;
        blockIdx_y = bid%gridDim.y;
        blockIdx_x = ((bid/gridDim.y)+blockIdx_y)%gridDim.x;
    }

    // from here on the code is same as previous kernel except blockIdx_x replaces blockIdx.x
    // and similarly for y

    int xIndex = blockIdx_x * TILE_DIM + threadIdx.x;
    int yIndex = blockIdx_y * TILE_DIM + threadIdx.y;
    int index_in = xIndex + (yIndex)*width;

    xIndex = blockIdx_y * TILE_DIM + threadIdx.x;
    yIndex = blockIdx_x * TILE_DIM + threadIdx.y;
    int index_out = xIndex + (yIndex)*height;

    for (int i=0; i<TILE_DIM; i+=BLOCK_ROWS)
    {
        tile[threadIdx.y+i][threadIdx.x] = idata[index_in+i*width];
    }

    __syncthreads();

    for (int i=0; i<TILE_DIM; i+=BLOCK_ROWS)
    {
        odata[index_out+i*height] = tile[threadIdx.x][threadIdx.y+i];
    }
}

// --------------------------------------------------------------------
// Partial transposes
// NB: the coarse- and fine-grained routines only perform part of a
//     transpose and will fail the test against the reference solution
//
//     They are used to assess performance characteristics of different
//     components of a full transpose
// --------------------------------------------------------------------

__global__ void transposeFineGrained(float *odata, float *idata, int width, int height)
{
    __shared__ float block[TILE_DIM][TILE_DIM+1];

    int xIndex = blockIdx.x * TILE_DIM + threadIdx.x;
    int yIndex = blockIdx.y * TILE_DIM + threadIdx.y;
    int index = xIndex + (yIndex)*width;

    for (int i=0; i < TILE_DIM; i += BLOCK_ROWS)
    {
        block[threadIdx.y+i][threadIdx.x] = idata[index+i*width];
    }

    __syncthreads();

    for (int i=0; i < TILE_DIM; i += BLOCK_ROWS)
    {
        odata[index+i*height] = block[threadIdx.x][threadIdx.y+i];
    }
}


__global__ void transposeCoarseGrained(float *odata, float *idata, int width, int height)
{
    __shared__ float block[TILE_DIM][TILE_DIM+1];

    int xIndex = blockIdx.x * TILE_DIM + threadIdx.x;
    int yIndex = blockIdx.y * TILE_DIM + threadIdx.y;
    int index_in = xIndex + (yIndex)*width;

    xIndex = blockIdx.y * TILE_DIM + threadIdx.x;
    yIndex = blockIdx.x * TILE_DIM + threadIdx.y;
    int index_out = xIndex + (yIndex)*height;

    for (int i=0; i<TILE_DIM; i += BLOCK_ROWS)
    {
        block[threadIdx.y+i][threadIdx.x] = idata[index_in+i*width];
    }

    __syncthreads();

    for (int i=0; i<TILE_DIM; i += BLOCK_ROWS)
    {
        odata[index_out+i*height] = block[threadIdx.y+i][threadIdx.x];
    }
}


// ---------------------
// host utility routines
// ---------------------

void computeTransposeGold(float *gold, float *idata,
                          const  int size_x, const  int size_y)
{
    for (int y = 0; y < size_y; ++y)
    {
        for (int x = 0; x < size_x; ++x)
        {
            gold[(x * size_y) + y] = idata[(y * size_x) + x];
        }
    }
}


void getParams(int argc, char **argv, cudaDeviceProp &deviceProp, int &size_x, int &size_y, int max_tile_dim)
{
    // set matrix size (if (x,y) dim of matrix is not square, then this will have to be modified
    if (checkCmdLineFlag(argc, (const char **)argv, "dimX"))
    {
        size_x = getCmdLineArgumentInt(argc, (const char **) argv, "dimX");

        if (size_x > max_tile_dim)
        {
            printf("> MatrixSize X = %d is greater than the recommended size = %d\n", size_x, max_tile_dim);
        }
        else
        {
            printf("> MatrixSize X = %d\n", size_x);
        }
    }
    else
    {
        size_x = max_tile_dim;
        size_x = FLOOR(size_x, 512);
    }

    if (checkCmdLineFlag(argc, (const char **)argv, "dimY"))
    {
        size_y = getCmdLineArgumentInt(argc, (const char **) argv, "dimY");

        if (size_y > max_tile_dim)
        {
            printf("> MatrixSize Y = %d is greater than the recommended size = %d\n", size_y, max_tile_dim);
        }
        else
        {
            printf("> MatrixSize Y = %d\n", size_y);
        }
    }
    else
    {
        size_y = max_tile_dim;

        // If this is SM12 hardware, we want to round down to a multiple of 512
        if ((deviceProp.major == 1 && deviceProp.minor >= 2) || deviceProp.major > 1)
        {
            size_y = FLOOR(size_y, 512);
        }
        else     // else for SM10,SM11 we round down to a multiple of 384
        {
            size_y = FLOOR(size_y, 384);
        }
    }
}


void
showHelp()
{
    printf("\n%s : Command line options\n", sSDKsample);
    printf("\t-device=n          (where n=0,1,2.... for the GPU device)\n\n");
    printf("> The default matrix size can be overridden with these parameters\n");
    printf("\t-dimX=row_dim_size (matrix row    dimensions)\n");
    printf("\t-dimY=col_dim_size (matrix column dimensions)\n");
}


// ----
// main
// ----

int
main(int argc, char **argv)
{
    // Start logs
    printf("%s Starting...\n\n", sSDKsample);

    if (checkCmdLineFlag(argc, (const char **)argv, "help"))
    {
        showHelp();
        return 0;
    }

    int devID = findCudaDevice(argc, (const char **)argv);
    cudaDeviceProp deviceProp;

    // get number of SMs on this GPU
    checkCudaErrors(cudaGetDevice(&devID));
    checkCudaErrors(cudaGetDeviceProperties(&deviceProp, devID));

    // compute the scaling factor (for GPUs with fewer MPs)
    float scale_factor, total_tiles;
    float val = (192.0f / (_ConvertSMVer2Cores(deviceProp.major, deviceProp.minor) * (float)deviceProp.multiProcessorCount));
    scale_factor = (val > 1.0f)? val : 1.0f;

    printf("> Device %d: \"%s\"\n", devID, deviceProp.name);
    printf("> SM Capability %d.%d detected:\n", deviceProp.major, deviceProp.minor);

    // Calculate number of tiles we will run for the Matrix Transpose performance tests
    int size_x, size_y, max_matrix_dim, matrix_size_test;

    matrix_size_test = 512;  // we round down max_matrix_dim for this perf test
    total_tiles = (float)MAX_TILES / scale_factor;

    max_matrix_dim = FLOOR((int)(floor(sqrt(total_tiles))* TILE_DIM), matrix_size_test);

    // This is the minimum size allowed
    if (max_matrix_dim == 0)
    {
        max_matrix_dim = matrix_size_test;
    }

    printf("> [%s] has %d MP(s) x %d (Cores/MP) = %d (Cores)\n",
           deviceProp.name, deviceProp.multiProcessorCount,
           _ConvertSMVer2Cores(deviceProp.major, deviceProp.minor),
           _ConvertSMVer2Cores(deviceProp.major, deviceProp.minor) * deviceProp.multiProcessorCount);

    printf("> Compute performance scaling factor = %4.2f\n", scale_factor);

    // Extract parameters if there are any, command line -dimx and -dimy can override
    // any of these settings
    getParams(argc, argv, deviceProp, size_x, size_y, max_matrix_dim);

    if (size_x != size_y)
    {
        printf("\n[%s] does not support non-square matrices (row_dim_size(%d) != col_dim_size(%d))\nExiting...\n\n", sSDKsample, size_x, size_y);
        exit(EXIT_FAILURE);
    }

    if (size_x%TILE_DIM != 0 || size_y%TILE_DIM != 0)
    {
        printf("[%s] Matrix size must be integral multiple of tile size\nExiting...\n\n", sSDKsample);
        exit(EXIT_FAILURE);
    }

    // kernel pointer and descriptor
    void (*kernel)(float *, float *, int, int);
    const char *kernelName;

    // execution configuration parameters
    dim3 grid(size_x/TILE_DIM, size_y/TILE_DIM), threads(TILE_DIM,BLOCK_ROWS);

    if (grid.x < 1 || grid.y < 1)
    {
        printf("[%s] grid size computation incorrect in test \nExiting...\n\n", sSDKsample);
        exit(EXIT_FAILURE);
    }

    // CUDA events
    cudaEvent_t start, stop;

    // size of memory required to store the matrix
    size_t mem_size = static_cast<size_t>(sizeof(float) * size_x*size_y);

    if (2*mem_size > deviceProp.totalGlobalMem)
    {
        printf("Input matrix size is larger than the available device memory!\n");
        printf("Please choose a smaller size matrix\n");
        exit(EXIT_FAILURE);
    }

    // allocate host memory
    float *h_idata = (float *) malloc(mem_size);
    float *h_odata = (float *) malloc(mem_size);
    float *transposeGold = (float *) malloc(mem_size);
    float *gold;

    // allocate device memory
    float *d_idata, *d_odata;
    checkCudaErrors(cudaMalloc((void **) &d_idata, mem_size));
    checkCudaErrors(cudaMalloc((void **) &d_odata, mem_size));

    // initialize host data
    for (int i = 0; i < (size_x*size_y); ++i)
    {
        h_idata[i] = (float) i;
    }

    // copy host data to device
    checkCudaErrors(cudaMemcpy(d_idata, h_idata, mem_size, cudaMemcpyHostToDevice));

    // Compute reference transpose solution
    computeTransposeGold(transposeGold, h_idata, size_x, size_y);

    // print out common data for all kernels
    printf("\nMatrix size: %dx%d (%dx%d tiles), tile size: %dx%d, block size: %dx%d\n\n",
           size_x, size_y, size_x/TILE_DIM, size_y/TILE_DIM, TILE_DIM, TILE_DIM, TILE_DIM, BLOCK_ROWS);

    // initialize events
    checkCudaErrors(cudaEventCreate(&start));
    checkCudaErrors(cudaEventCreate(&stop));

    //
    // loop over different kernels
    //

    bool success = true;

    for (int k = 0; k<8; k++)
    {
        // set kernel pointer
        switch (k)
        {
            case 0:
                kernel = &copy;
                kernelName = "simple copy       ";
                break;

            case 1:
                kernel = &copySharedMem;
                kernelName = "shared memory copy";
                break;

            case 2:
                kernel = &transposeNaive;
                kernelName = "naive             ";
                break;

            case 3:
                kernel = &transposeCoalesced;
                kernelName = "coalesced         ";
                break;

            case 4:
                kernel = &transposeNoBankConflicts;
                kernelName = "optimized         ";
                break;

            case 5:
                kernel = &transposeCoarseGrained;
                kernelName = "coarse-grained    ";
                break;

            case 6:
                kernel = &transposeFineGrained;
                kernelName = "fine-grained      ";
                break;

            case 7:
                kernel = &transposeDiagonal;
                kernelName = "diagonal          ";
                break;
        }

        // set reference solution
        if (kernel == &copy || kernel == &copySharedMem)
        {
            gold = h_idata;
        }
        else if (kernel == &transposeCoarseGrained || kernel == &transposeFineGrained)
        {
            gold = h_odata;   // fine- and coarse-grained kernels are not full transposes, so bypass check
        }
        else
        {
            gold = transposeGold;
        }

        // Clear error status
        checkCudaErrors(cudaGetLastError());

        // warmup to avoid timing startup
        kernel<<<grid, threads>>>(d_odata, d_idata, size_x, size_y);

        // take measurements for loop over kernel launches
        checkCudaErrors(cudaEventRecord(start, 0));

        for (int i=0; i < NUM_REPS; i++)
        {
            kernel<<<grid, threads>>>(d_odata, d_idata, size_x, size_y);
            // Ensure no launch failure
            checkCudaErrors(cudaGetLastError());
        }

        checkCudaErrors(cudaEventRecord(stop, 0));
        checkCudaErrors(cudaEventSynchronize(stop));
        float kernelTime;
        checkCudaErrors(cudaEventElapsedTime(&kernelTime, start, stop));

        checkCudaErrors(cudaMemcpy(h_odata, d_odata, mem_size, cudaMemcpyDeviceToHost));
        bool res = compareData(gold, h_odata, size_x*size_y, 0.01f, 0.0f);

        if (res == false)
        {
            printf("*** %s kernel FAILED ***\n", kernelName);
            success = false;
        }

        // take measurements for loop inside kernel
        checkCudaErrors(cudaMemcpy(h_odata, d_odata, mem_size, cudaMemcpyDeviceToHost));
        res = compareData(gold, h_odata, size_x*size_y, 0.01f, 0.0f);

        if (res == false)
        {
            printf("*** %s kernel FAILED ***\n", kernelName);
            success = false;
        }

        // report effective bandwidths
        float kernelBandwidth = 2.0f * 1000.0f * mem_size/(1024*1024*1024)/(kernelTime/NUM_REPS);
        printf("transpose %s, Throughput = %.4f GB/s, Time = %.5f ms, Size = %u fp32 elements, NumDevsUsed = %u, Workgroup = %u\n",
               kernelName,
               kernelBandwidth,
               kernelTime/NUM_REPS,
               (size_x *size_y), 1, TILE_DIM *BLOCK_ROWS);

    }

    // cleanup
    free(h_idata);
    free(h_odata);
    free(transposeGold);
    cudaFree(d_idata);
    cudaFree(d_odata);

    checkCudaErrors(cudaEventDestroy(start));
    checkCudaErrors(cudaEventDestroy(stop));

    if (!success)
    {
        printf("Test failed!\n");
        exit(EXIT_FAILURE);
    }

    printf("Test passed\n");
    exit(EXIT_SUCCESS);
}
