cuda-index-width
Choose 32-bit vs 64-bit index math in PyTorch CUDA kernels. Use when fixing large-tensor indexing overflows, deciding whether to use int64_t, canUse32BitIndexMath, CUDA_KERNEL_LOOP_TYPE, or AT_DISPATCH_INDEX_TYPES, and when considering binary-size or performance impact of index-type templating.
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name cuda-index-width description Choose 32-bit vs 64-bit index math in PyTorch CUDA kernels. Use when fixing large-tensor indexing overflows, deciding whether to use int64_t, canUse32BitIndexMath, CUDA_KERNEL_LOOP_TYPE, or AT_DISPATCH_INDEX_TYPES, and when considering binary-size or performance impact of index-type templating. CUDA Index Width in PyTorch Use this skill when a CUDA kernel overflows int indexing, fails near 2^31 elements, or needs a review of int vs int64_t index math. Start with the overflow site Do not blindly convert all index variables to int64_t . Find the expression that can exceed 32 bits and classify where it runs: One-time setup per CTA or per output element group : prefer one local 64-bit cast at the first multiply. Hot per-element linear indexing : template the kernel on index_t and dispatch int vs int64_t . Unsupported algorithm with 32-bit-only assumptions : add a clear TORCH_CHECK(canUse32BitIndexMath(...)) instead of silently overflowing. Grid dimension overflow : changing arithmetic type is not enough; add tiling/striding over that dimension. Canonical utilities Include/use the existing PyTorch utilities instead of ad hoc checks: # include <ATen/native/CanUse32BitIndexMath.h> # include <ATen/cuda/detail/KernelUtils.h> at::native::canUse32BitIndexMath(tensor, INT_MAX) checks both numel and maximum storage offset. For CUDA files that already include cuda detail wrappers, at::cuda::detail::canUse32BitIndexMath may be available as an alias. AT_DISPATCH_INDEX_TYPES(cond ? ScalarType::Int : ScalarType::Long, "name", [&] { ... }); provides index_t . CUDA_KERNEL_LOOP_TYPE(index, nthreads, index_t) keeps grid-stride loops correct for either width. Check every tensor whose offsets are computed with the selected index type, not just the output tensor. Fix patterns 1. Localized base-offset overflow If only a base pointer offset can overflow and it is computed outside the hot loop, keep the kernel otherwise unchanged: int64_t plane = blockIdx.x; input = input + plane * strideD; output = output + plane * osizeH * osizeW; This avoids doubling kernel instantiations and keeps inner-loop arithmetic 32-bit. Use this when dimensions inside the tile still fit in int . 2. Grid-stride linear kernels If the loop index, modulo/division decomposition, or final data[index] access can exceed 32 bits, template the kernel: template < typename scalar_t , typename index_t > __global__ void kernel ( index_t n, const scalar_t * in, scalar_t * out) { CUDA_KERNEL_LOOP_TYPE (index, n, index_t ) { out[index] = in[index]; } } AT_DISPATCH_INDEX_TYPES ( canUse32BitIndexMath (out, INT_MAX) && canUse32BitIndexMath (in, INT_MAX) ? ScalarType::Int : ScalarType::Long, "kernel_index_type" , [&] { kernel< scalar_t , index_t ><<<blocks, threads, 0 , stream>>>(n, in, out); C10_CUDA_KERNEL_LAUNCH_CHECK (); }); Prefer this over unconditionally changing the loop index to int64_t , because 64-bit division/modulo in a hot CUDA loop can be measurable. 3. TensorInfo/accessor or strided kernels When offsets are computed from sizes/strides, dispatch on an index type only if all participating tensors pass canUse32BitIndexMath for that type. Remember that a small numel() tensor can still need 64-bit offsets if it is a large strided view. 4. 32-bit-only kernels If supporting 64-bit indexing would require a larger algorithm rewrite or would exceed CUDA launch limits, fail early: TORCH_CHECK ( canUse32BitIndexMath (input) && canUse32BitIndexMath (output), "op_name: tensors must fit into 32-bit index math" ); Only use this when the operator already has a documented or accepted size limitation; do not turn a reported correctness bug into an unnecessary limitation. Binary-size and performance tradeoffs Templating on index_t duplicates each affected kernel for every scalar dtype and memory-format specialization. Before adding index dispatch to several kernels, ask whether the overflow is in a hot path or only in one setup expression. A/B candidate fixes when the choice is not obvious: Build each candidate from a clean diff using the same build environment. Record changed CUDA object and library sizes: stat -c '%s %n' build/aten/src/ATen/CMakeFiles/torch_cuda.dir/native/cuda/<file>.cu.o torch/lib/libtorch_cuda.so Check symbol multiplication for the kernel name: nm -S --size-sort -C torch/lib/libtorch_cuda.so | rg '<kernel_name>|index_t|long|int' If hot-loop arithmetic changed, benchmark representative small and large tensors; do not report performance from sanitizer runs. Default decision: One or two 64-bit setup multiplies : prefer the local cast. Per-element indexing may exceed 32 bits : prefer index_t dispatch. Existing kernel family already dispatches index_t : extend the existing pattern. Changing many scalar-specialized kernels : consider binary size before templating all of them. Tests for large-index fixes Add a regression that crosses the exact boundary that failed: Use the smallest dtype and output size that still exercises the overflow. Assert tensor.numel() > torch.iinfo(torch.int32).max or assert the specific offset boundary. Sample values from both below and above the boundary; avoid full-tensor CPU comparisons for huge tensors. Run the original repro under compute-sanitizer for memory bugs: CUDA_LAUNCH_BLOCKING=1 PYTORCH_NO_CUDA_MEMORY_CACHING=1 compute-sanitizer --tool memcheck --error-exitcode=99 <python> repro.py For PyTorch tests, prefer adding the regression near related pooling/indexing tests and guard expensive cases with @largeTensorTest and the relevant device decorator. Review checklist The exact overflowing expression is identified. 64-bit math is limited to the expressions that need it, or the kernel is templated when the hot index needs it. canUse32BitIndexMath considers every tensor whose offsets use the selected type. CUDA launch dimensions still fit hardware limits. The test fails before the fix and passes after it, or the report explains why pre-fix failure was not rerun. Binary-size/performance impact is mentioned if new index_t dispatch duplicates kernels.
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