ozaki_error_bound — DRIVE ozaki op

• Data kinds: matrix × matrix × scalar → matrix

• Call: import fullseye as fs; fs.ledger.ozaki_error_bound(A, B, n_slices: 'int') (to call the implementation directly, import ozakimm; ozakimm.ozaki_error_bound(A, B, n_slices: 'int'); from the registry, opsdrive.get("ozaki_error_bound"))

Usage

Guaranteed element-wise upper bound (a matrix) on the truncation error of matmul_ozaki(A, B, n_slices) (Ozaki-I).

An upper bound on the sum of the truncation remainders and the discarded slice pairs; the rounding of the final float64 assembly (on the order of (s+1) u |A||B|) is not included. In the gate, 0 violations over somewhat more than 260,000 elements (PoC and tests). Because it is computed with a reordered sum, the bound itself does not depend on the inner order either.

References (sample data, literature)

• Sample-data catalog (download URLs / licences) — 2-D uses skimage.data (BSD/public domain) plus synthetic images; 3-D lists download URLs for real data sources (Stanford, PDS, …).

• Operator provenance and references — the sources of the research/methods this op family came from.

• The canonical algorithm (author, year) and its uses are named in the family usage guide above.

Runnable examples (verified samples that actually call this op)

• poc_reproducible_icp — py -3.11 examples/poc_reproducible_icp.py

Ops the type connects to (they accept matrix as input)

world_camera · lidar_scan · relative_motion · foe_from_motion · flow_from_depth_motion · ttc_truth · world_materials · mesh_signed_volume

Same category (ozaki)

matmul_ozaki · matmul_reproducible · cross_covariance_reproducible · kabsch_reproducible · fp64_emulation_probe


*Provenance: ozakimm.py — DRIVE operator registry. This per-op note is generated by tools/opdocs.py md (do not hand-edit).*

© 2026 Kazufumi Furuse — Fullseye operator documentation. Licensed under Apache-2.0.