Hardware model — query it, never assume it
Always read the device at run time. Hardcoding an SM count, a tile derived from one, or a datasheet peak makes a kernel slower on every machine it was not tuned on.
p = torch.cuda.get_device_properties(0)
p.name, p.major, p.minor
p.multi_processor_count # size persistent grids from THIS
p.shared_memory_per_block_optin # the number that matters for big tiles
p.regs_per_multiprocessor, p.max_threads_per_multi_processor, p.total_memory
cudaDeviceProp pr; cudaGetDeviceProperties(&pr, 0); // multiProcessorCount, sharedMemPerBlockOptin
Measure achieved HBM bandwidth with a large stream-copy. Datasheet peak is not attainable and the gap varies by access pattern.
Capability ladder
Verified by compiling each instruction for each target with CUDA 12.8 (full matrix in ref/ptx.md).
"yes" means the instruction assembles — a lower bound on availability, not a claim about speed.
| feature | sm_80 Ampere | sm_89 Ada/Lovelace | sm_90 Hopper | sm_100 Blackwell DC | sm_120 Blackwell RTX |
|---|---|---|---|---|---|
| async global→shared | cp.async |
cp.async |
cp.async + TMA |
cp.async + TMA |
cp.async + TMA |
| tensor-core MMA | mma.sync |
mma.sync |
wgmma (warpgroup) |
tcgen05 + tensor memory |
mma.sync only |
| fp8 (e4m3/e5m2) | no | yes | yes | yes | yes |
| fp6 / fp4 / MX scales | no | no | no | yes | yes |
| clusters / DSMEM | no | no | yes | yes | yes |
transaction barriers (expect_tx) |
no | no | yes | yes | yes |
stmatrix |
no | no | yes | yes | yes |
setmaxnreg (warp-spec regs) |
no | no | yes | yes | yes |
PDL (griddepcontrol) |
no | no | yes | yes | yes |
| smem per block (opt-in) | 163 KB | 99 KB | 227 KB | query it | query it |
Shared-memory figures are the per thread block opt-in limits from the Programming Guide §16 tables;
each is 1 KB below the per-SM partition, which is reserved for system use. Cross-checked on this H200:
shared_memory_per_block_optin = 232,448 B against shared_memory_per_multiprocessor = 233,472 B —
exactly that 1 KB. Blackwell's value is left as "query it" rather than guessed.
What this means per architecture
sm_89 (Ada / L40S, RTX 40-series) — an Ampere-class programming model with fp8 arithmetic. It has
the fp8 mma.sync, but none of the Hopper structure: no TMA, no clusters, no stmatrix, no
setmaxnreg, no transaction barriers, no elect.sync. Every Hopper technique — TMA choreography, warp
specialisation with register reallocation, cluster barriers — is simply unavailable. Wins come from
cp.async multi-stage pipelining, ldmatrix + mma.sync, vectorised access, and fp8. Note the much
smaller shared memory: 99 KB opt-in per block against Hopper's 227 KB, so a tile sized for Hopper
will not launch at all.
sm_90 (Hopper / H100, H200) — TMA loads + wgmma + producer/consumer warp specialisation over a
multi-stage shared-memory pipeline. Not using TMA usually leaves bandwidth on the table.
sm_100 (Blackwell datacenter / B100, B200) — wgmma does not exist here. A warpgroup GEMM
written for Hopper will not compile. Blackwell replaces it with tcgen05, whose accumulator lives in a
separate tensor memory space rather than in registers, so the register-pressure calculus that drives
Hopper tile sizing changes entirely. It also gains native fp4/fp6 and MX block scales, so microscaled
formats feed the MMA directly instead of being dequantised by hand as on sm_90.
sm_120 (Blackwell RTX / RTX 50-series, RTX PRO) — Blackwell's consumer line, and tcgen05 is
absent. It has TMA, clusters, fp4/fp6 conversions and mma.sync, but not the 5th-gen tensor core
instructions. Do not assume "Blackwell" implies tcgen05; check the target.
Portability
mma.sync is the only tensor-core path that assembles from Ada through Blackwell. If one binary must
span architectures, either dispatch on __CUDA_ARCH__ between mma.sync / wgmma / tcgen05, or
target mma.sync and accept the ceiling. tools/check_toolchain.py <arch> regenerates the matrix for
whatever you are building for.
Numbers that decide tile sizes
- A warp is 32 threads;
wgmmaoperates on a warpgroup (128 threads). - Shared memory is banked 32-wide × 4 B; a conflict-free access needs distinct banks per thread, which padding breaks for 2-byte types — swizzle instead.
- Global loads coalesce into 32 B sectors; aim for 128 B per warp per access.
- Occupancy is limited by whichever of registers / smem / block size binds first — compute all three.