occupancy optimization

**Occupancy Optimization** — maximizing the number of active warps on a GPU Streaming Multiprocessor (SM) to hide memory latency through warp-level parallelism. **What Is Occupancy?** $$Occupancy = \frac{\text{Active warps per SM}}{\text{Max warps per SM}}$$ - Each SM can hold a maximum number of concurrent warps (e.g., 64 on A100) - Higher occupancy → more warps to schedule → better latency hiding **What Limits Occupancy?** 1. **Registers per thread**: More registers per thread → fewer threads fit on SM - SM has 65536 registers. Thread using 64 regs → 65536/64 = 1024 threads max 2. **Shared memory per block**: More SMEM per block → fewer blocks fit on SM 3. **Block size**: Must be multiple of 32 (warp size). Max 1024 threads per block 4. **Blocks per SM**: Hardware limit (e.g., 32 blocks per SM on Ampere) **CUDA Occupancy Calculator** ```bash # Launch configuration for 75%+ occupancy: cudaOccupancyMaxPotentialBlockSize(&minGridSize, &blockSize, kernel); ``` **Best Practices** - Start with 256 threads per block (good default) - Reduce register usage: `__launch_bounds__(maxThreads, minBlocks)` - Profile with Nsight Compute → check achieved occupancy - Higher occupancy doesn't always mean higher performance (compute-bound kernels may not need it) **Typical targets**: 50-75% occupancy is usually sufficient. 100% is often impossible and unnecessary. **Occupancy** is a key metric in GPU optimization — but always measure actual performance, not just theoretical occupancy.

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