GPU acceleration transforms compute-bound tasks into memory-bound ones by leveraging massive parallelism. Effective optimization requires bypassing high-level abstractions to manage the Single Instruction, Multiple Threads (SIMT) architecture and the memory hierarchy directly.
Modern GPUs (NVIDIA CUDA architecture) execute threads in groups of 32 called warps. All threads in a warp execute the same instruction. When code branches (e.g., if-else), and threads within a warp take different paths, the GPU serializes execution for each path, a phenomenon known as warp divergence.
Concrete Impact: A 50/50 branch split in a warp results in 50% utilization. Optimization: Use predication or move branching logic outside the inner kernel loop.
The primary bottleneck is usually moving data from Global Memory (VRAM) to Registers.
Standard matrix multiplication (C = A \times B) has O(N^3) operations but O(N^2) data. Without tiling, every element of A and B is read from Global Memory N times.
Tiling Strategy: Load "tiles" of A and B into Shared Memory once, perform sub-matrix multiplication using fast shared memory, and write the result back.
__global__ void MatrixMulKernel(float* A, float* B, float* C, int N) {
__shared__ float As[TILE_SIZE][TILE_SIZE];
__shared__ float Bs[TILE_SIZE][TILE_SIZE];
int tx = threadIdx.x; int ty = threadIdx.y;
int row = blockIdx.y * TILE_SIZE + ty;
int col = blockIdx.x * TILE_SIZE + tx;
float Pvalue = 0;
for (int m = 0; m < N/TILE_SIZE; ++m) {
// Load tiles into shared memory
As[ty][tx] = A[row * N + m * TILE_SIZE + tx];
Bs[ty][tx] = B[(m * TILE_SIZE + ty) * N + col];
__syncthreads(); // Barrier: Wait for all threads to finish loading
for (int k = 0; k < TILE_SIZE; ++k)
Pvalue += As[ty][k] * Bs[k][tx];
__syncthreads(); // Barrier: Ensure computation is done before next load
}
C[row * N + col] = Pvalue;
}
Result: Reduces global memory traffic by a factor of TILE_SIZE.
Reducing bit-width increases throughput and reduces memory pressure.
Static graphs allow the compiler to perform: