Changes

Based on assignment 1, we added the source code to make possible the program to be executed on a CUDA device, as follows.   __global__ void copyMat(const double *w, double *u){ int i = blockIdx.x * blockDim.x + threadIdx.x; int j = blockIdx.y * blockDim.y + threadIdx.y; if (i < M && j < N) { u[i * M + j] = w[i * M + j]; } __syncthreads();}__global__ void calcHeat(double *w, const double *u, double *d, int m, int n, double* d_array){ int i = blockIdx.x * blockDim.x + threadIdx.x; int j = blockIdx.y * blockDim.y + threadIdx.y; if ( i == 0 )i++; if ( j == 0 )j++; if (i < m && j < n) { w[i * m + j] = (u[(i - 1) * m + j] + u[(i + 1) * m + j] + u[i * m + (j - 1)] + u[i * m + (j + 1)]) / 4.0; d_array[i * m + j] = w[i * m + j] - u[i * m + j]; if( d_array[i * m + j] < 0 ){d_array[i * m + j] *= -1;} } *d = -1; __syncthreads();}__global__ void bigDiff(double* d_array, double* d, int m, int n){ int i = blockIdx.x * blockDim.x + threadIdx.x;  for (int x = 1; i+x < m*n; x*=2) { if (d_array[i] > *d || d_array[i + x] > *d){ if (d_array[i] > d_array[i + x]) *d = d_array[i]; else *d = d_array[i + x]; } __syncthreads(); }}   Moreover, we made the input of the error tolerance (Epsilon) to be set on the code. After lots of difficulties found while we were coding, we finally got good results in comparison with the code of assignment 1. The runtime was decreased, and it made us to see the power that CUDA may provide to optimize the processing.