From 0fff81d8997cef646538bcd4f60d7d455cf93b8e Mon Sep 17 00:00:00 2001 From: Chris R Date: Mon, 19 Oct 2026 20:01:00 +1100 Subject: [PATCH] Stream full QQ16 recovery in nine existing output banks --- .../qq16-streaming-recovery/PREDECESSORS.json | 48 + research/qq16-streaming-recovery/PROOF.md | 256 + research/qq16-streaming-recovery/README.md | 70 + research/qq16-streaming-recovery/RESULT.json | 7616 +++++++++++++++++ research/qq16-streaming-recovery/REVIEWS.json | 45 + research/qq16-streaming-recovery/SOURCES.json | 150 + research/qq16-streaming-recovery/TASK.json | 124 + .../qq16-streaming-recovery/VERIFICATION.json | 62 + research/qq16-streaming-recovery/VERIFY.json | 74 + research/qq16-streaming-recovery/WORD.json | 1 + research/qq16-streaming-recovery/native.py | 37 + research/qq16-streaming-recovery/replay.py | 86 + .../qq16-streaming-recovery/test_verify.py | 43 + .../vendor/PR3985-WORD.json | 1 + research/qq16-streaming-recovery/verify.py | 215 + 15 files changed, 8828 insertions(+) create mode 100644 research/qq16-streaming-recovery/PREDECESSORS.json create mode 100644 research/qq16-streaming-recovery/PROOF.md create mode 100644 research/qq16-streaming-recovery/README.md create mode 100644 research/qq16-streaming-recovery/RESULT.json create mode 100644 research/qq16-streaming-recovery/REVIEWS.json create mode 100644 research/qq16-streaming-recovery/SOURCES.json create mode 100644 research/qq16-streaming-recovery/TASK.json create mode 100644 research/qq16-streaming-recovery/VERIFICATION.json create mode 100644 research/qq16-streaming-recovery/VERIFY.json create mode 100644 research/qq16-streaming-recovery/WORD.json create mode 100644 research/qq16-streaming-recovery/native.py create mode 100644 research/qq16-streaming-recovery/replay.py create mode 100644 research/qq16-streaming-recovery/test_verify.py create mode 100644 research/qq16-streaming-recovery/vendor/PR3985-WORD.json create mode 100644 research/qq16-streaming-recovery/verify.py diff --git a/research/qq16-streaming-recovery/PREDECESSORS.json b/research/qq16-streaming-recovery/PREDECESSORS.json new file mode 100644 index 0000000000..9409ba76af --- /dev/null +++ b/research/qq16-streaming-recovery/PREDECESSORS.json @@ -0,0 +1,48 @@ +{ + "canonical_base": "20ecf2891d80b5acf18d980b2164fb44ea7faa90", + "runtime_sources": "All22 canonical input paths declared in SOURCES.json and VERIFY.json; authenticate before inherited execution.", + "canonical_predecessors": [ + { + "pr": 2707, + "head": "efa51a6c7ffec6edd556a98deedfe9deeba65809", + "author": "ywz65", + "path": "research/qq16-line-normalized-decoder", + "reuse": "Full F17 word, exact source loader, ordered maps and native recipes." + }, + { + "pr": 2681, + "head": "ea96706295631be10d92ae149b63c3e24acaeabc", + "author": "Arham Tahir", + "reuse": "Retained canonical routed algebra and inverse formula via PR2707; original attribution preserved." + } + ], + "retained_comparison": { + "pr": 3985, + "head": "400df7fca8f60c19bf163c77564fe3fbe9154b04", + "source_path": "research/qq16-recovery-fusion/WORD.json", + "local_path": "vendor/PR3985-WORD.json", + "git_blob": "1518ddc9b61aa6bede045d20f0d5e8cf664863fa", + "sha256": "a854f516f1d80635fb3414734f9e1c6d1251a5d79ef12e137c143fc6b0b51722", + "status": "Pending-head data retained narrowly; not a SOURCES ancestor pin or executable import. Whole comparison word independently regenerated from canonical source." + }, + "adapted_code": { + "replay.py": "Adapted PR3985 replay, ultimately PR2707/PR2681; parameterizes standalone extra banks versus hosted outputs, retaining arbitrary dirt and restoration checks.", + "native.py": "PR3985 signed kernel checker, adapted from PR2707; both signs and every224 event covered.", + "verify.py": "PR3985 rectangular schedule regenerated as comparison; new serial stream, source def-use hosting, invoices and controls." + }, + "parallel_credit": "The output-lifetime agent independently identified deferred Z_U/Z_A definitions; root proposed composing9streamedroles with9Z_U slots and omitting overwritten terminalclears. This package independently checks source def-use and full restoration; no sibling execution or data dependency.", + "access_precedents": [ + { + "pr": 2722, + "author": "Nick Petalas", + "scope": "Different fixed scalar scratch word/layout; tariff not imported." + }, + { + "pr": 2794, + "author": "Arham Tahir", + "scope": "Direction optimization of2722 fixed sweeps; tariff not imported." + } + ], + "license": "Apache-2.0; retain all canonical and source lineage notices.", + "ai_assistance": "Substantial OpenAI Codex assistance, not independent human or formal-kernel verification." +} diff --git a/research/qq16-streaming-recovery/PROOF.md b/research/qq16-streaming-recovery/PROOF.md new file mode 100644 index 0000000000..8fd64e85e3 --- /dev/null +++ b/research/qq16-streaming-recovery/PROOF.md @@ -0,0 +1,256 @@ +# Streaming complete QQ16 recovery inside nine existing output banks + +## Statement and boundary + +The primary construction hosts its eight persistent full-cover query sums and +one reusable work bank in **nine deferred Z_U output banks**, requiring **zero +additional owned banks**. Its complete local bill is **224 H1 children, 448 +wrappers, 352 maps and 26,944 scalar allowance**, with 416 CLEARs and 3,813 word +events. Only nine output definitions move. The changed future block has no +owner-private body; the whole-word private peak stays 16. + +We first prove the standalone nine-owned-bank streaming schedule, then prove +its explicit output-bank hosting transformation. Both words are regenerated; +the standalone variant is also replayed independently as a comparison. The +hosted variant is the published `WORD.json` and primary `RESULT.json` invoice. + + +## Standalone nine-bank reference + +For the pinned full decoder, the future-query correction can be evaluated with +**eight owned full-cover query banks and one reusable owned full-cover work +bank**, replacing PR3985's 112 simultaneous owned temporary arrays. The whole +word still returns all 224 original x0/y0 arrays in F17. It leaves all 224 +current X/Y inputs borrowed and unchanged, with X entering in F17 and each Y_p +in the source's F17 C_qp^(-1) frame. The initial Y normalization and complete +inverse suffix remain present and paid. + +The complete local bill is 224 H1 children, 448 native wrappers, 352 cover maps, +1,920 unit ADDs, 896 quarter ADDs and 425 CLEARs: scalar allowance 26,962. +Compared with PR3985 this removes 103 owned temporary banks, 111 CLEARs and +222 scalar allowance. It does not establish a physical tape count or a new κ. + +All nine new banks can enter with arbitrary content. Their first use is CLEAR, +and each returns zero in identity frame before the inverse-B1 checkpoint. +They require exclusive ownership only during the changed block. The eight +query banks are **full-cover owned storage**, not owner-private scratch carried +across a native call. Peak private scratch for the complete word remains 16 in +the unchanged F0 inverse; the changed future block has no private body. + +## Ordered operator identity + +Retain the canonical PR2707/PR2681 source conventions. For each port p, let +M_p be the actual stage-2 affine cover map, including its source-derived +translation, and C_qp its rank-one native line. Let T_p be the ordered owner +routing operator. The inherited full phase identity is + + C_qp^(-1) M_p F17 = F16 T_p, + +where F16 is the common frame on axes 9 through 24. Its inverse is the actual +source-ordered inverse map after C_qp; the affine inverse translation is not +silently dropped. The checker compares all 73 phase coordinates at every ADD. + +At the changed-block entrance W_p = F17 u_p. The needed future query is + + q_k = sum_(p in U+T) R[k,p] T_p u_p, k = 0,...,7. + +There are 104 query ports and eight response ports A, with disjoint supports. +The required update is + + W_p <- F17 (u_p - T_p^(-1) sum_k R[k,p] q_k / 4), p in A. + +Every U+T output remains unchanged. There is no commutation of different owner +operators in this identity. + +Initialize Q_0,...,Q_7 to zero in F16. For each p in the source order U+T: + +1. Clear reusable D in F17 and copy W_p to D. +2. Apply M_p and then C_qp^(-1) to D. +3. For every nonzero R[k,p], add R[k,p] D to Q_k. + +After processing the first j source ports, induction gives + + Q_k = F16 sum_(p among first j) R[k,p] T_p u_p. + +The statement holds for arbitrary routed arrays: the maps are the original +ordered maps, each sum is in the same exact frame, and every use of D occurs +before its next CLEAR. At j=104 the eight banks contain the full required +query. The source and query loops have exchanged order; exact addition permits +this exchange. A former floating-point evaluation order is not preserved. + +For each of the eight response ports p, clear D in F16 and form +`-sum_k R[k,p] Q_k/4`. Apply C_qp and the actual inverse M_p, then add D to W_p. +The query banks remain unchanged during all eight responses. Finally clear D +and all Q banks in identity frame. The result at the block exit equals the +materialized correction exactly, so the unchanged full suffix has the same +224 outputs. + +The checker also computes exact rational row ranks: the query matrix on U+T +has rank eight, as does the response matrix on A. Thus the materialized query +has eight independent components. In a fixed-dimension linear query-only +summary interface, its rank precludes fewer than eight independent full-cover +summary fields. This is not a universal workspace lower bound: rereading +sources, recomputation, changed encodings and output-bank hosting are outside +that restricted observation. In particular no nine-bank optimality is claimed. + +## Pebbling and lifetime ledger + +The 104 aligned query copies are intermediate values, not output obligations. +Once one copy has contributed to the eight running sums it is dead and D may +be overwritten. Responses need only the eight completed sums and one staging +bank. This is a constructive pebbling schedule for the existing linear map; +it changes the intermediate storage contract without extra native recomputation. + +Zero-based event positions in the complete 3,822-event word are: + +| Bank | First CLEAR | Final CLEAR | Frame while retained | Native calls during allocation | +|---|---:|---:|---|---:| +| Q0 through Q7 | 1714 through 1721 | 2619 through 2626 | F16 | 112 each | +| D | 1722 | 2618 | F17/F16 through the stated maps | 112 | + +The next event, 2627, begins the preserved 112-instruction Z update; the +inverse-B1 checkpoint follows at 2739. `RESULT.json` records each +bank separately. All first uses initialize arbitrary dirt; all final uses +clear the owned field to zero/identity. No borrowed X/Y, output Z/W or private +F/G array is silently aliased. The prefix and suffix have no Q/D references, +so their ownership interval can be restricted to this block. Physical +allocation, placement and release costs remain unknown. + +## Hosting the nine roles in deferred output banks + +Choose the first nine U ports in the pinned source order and injectively assign +Q0,...,Q7,D to their Z output banks. The generator independently checks every +reference before the first post-query Z update. For each chosen Z_p, +there are exactly two references before this cut: its initial `CLEAR Z_p current` and `ADD Z_p X_p 1`. +It is neither read nor updated anywhere else before that cut. These +are exact source def-use facts, not an assumption that all output banks are +free. Selected T outputs have live prefix uses and are rejected by this census. + +Delete the nine original two-instruction output definitions from the prefix. +Execute the streamed block with the injective aliases. Every role's first use +is still its paid CLEAR, so arbitrary output-bank dirt is initialized. After +the final response, restore the nine original definitions, in order, before +the first preserved Z update. All X fields are still borrowed, unchanged and in F17, so +these deferred definitions produce exactly the original Z values and frames. +The unchanged suffix therefore sees its original full boundary. + +The standalone roles' nine terminal zero/identity CLEARs are unnecessary in +this hosted contract: each same owned bank is immediately reinitialized by +the charged output CLEAR/X-copy. Remove those terminal clears, not the output +initialization. The temporary roles no longer have a separate zero-return ABI; +their obligation is the correct owned output state, which is checked at the +checkpoint and full-word exit. No borrowed storage is erased. + +The source census, exact alias map, role first/last uses and output-redefinition +events are all recorded in `RESULT.json`. All old owned-output and borrowed +input dirt/restoration checks remain enabled. This construction uses only nine +deferred U outputs, unlike the parallel materialized-copy hosting approach's +104 deferred output definitions. The parallel agent supplied the output-lifetime +insight; this package derives its own nine-bank def-use proof and executes no +sibling code. + +## Complete primitive bill and access obligations + +| Charge | PR2707 | PR3985 | Nine external banks | Hosted stream | +|---|---:|---:|---:|---:| +| H1 children | 336 | 224 | 224 | 224 | +| Native wrappers | 672 | 448 | 448 | 448 | +| Cover maps | 464 | 352 | 352 | 352 | +| Unit ADDs | 1808 | 1920 | 1920 | 1920 | +| Quarter ADDs | 896 | 896 | 896 | 896 | +| CLEARs | 312 | 536 | 425 | 416 | +| Scalar allowance | 25840 | 27184 | 26962 | 26944 | +| Owned output banks | 224 | 224 | 224 | 224 | +| Additional owned full-cover banks | 0 | 112 | 9 | 0 | +| Whole-word private peak | 16 | 16 | 16 | 16 | + + +Scalar allowance is 8 times unit ADDs plus 12 times quarter ADDs plus 2 times +CLEARs. The streamed block has 560 ADDs and 129 CLEARs: eight initial Q clears, +104 query D clears, eight response D clears and nine terminal clears. The +materialized block had 240 CLEARs. No native call, wrapper or map is erased by +calling it a relocation. The nine-bank word also removes the old future-private +begin/end markers, giving 3,822 events rather than 3,935. Output-bank hosting +then removes nine terminal clears, giving 3,813 events and scalar allowance +26,944. Relative to PR3985 the total reduction is 120 CLEARs / 240 scalar +allowance and all 112 additional owned banks. + +For an explicit abstract scalar-access protocol, execute one complete cover +pass per ADD or CLEAR. If a bank has N scalar entries, read both operands and +write the destination on each ADD; write the destination on each CLEAR. The +standalone nine-bank block has **689 scalar passes, 1120N scalar reads and 689N scalar +writes**, in addition to 112 native calls and 112 cover maps. These counts +assume no fusion or cache credit. They count scalar-array accesses, not bit +operations or tape-head steps, and do not price native/wrapper/map traffic. In the hosted block, including +the nine moved output definitions, the counts are 698 scalar passes, 1138N +reads and 698N writes. The prefix loses 18 passes, 18N reads and 18N writes; +thus the whole-word delta versus nine external banks is nine fewer passes and +9N fewer writes, with the same read count. These are exact for the declared +scalar-access protocol, not head-motion bounds. + +| Obligation | Status | +|---|---| +| Exact full-output map and native frames | Proved under the retained source contracts; checked on the whole word | +| Named primitive invoice and nine output-bank role lifetimes | Constructive, exact | +| Declared scalar-pass read/write count | Exact for the stated access protocol | +| Physical placement, seeks, traversal, instruction control and return | Unknown | +| Bit encoding, precision, intermediate range and rounding error | Unknown | +| Outer invocation incidence, productive-family stock and idle coverage | Unknown for this changed module | +| Both all-depth supplier caps and improved κ | Not established | + +The change exchanges 104 simultaneous materialized copies and an owner-private +query sweep for persistent query banks and serial full-cover access. Fewer +banks do not imply cheaper head movement. PR2722 and PR2794 price different +fixed scalar words and access layouts; their tariffs are not imported here. +Likewise no numerical budget or κ gain is inferred merely from fewer banks. + +## Evidence and limits + +The verifier authenticates all 22 canonical runtime files before executing the +credited PR2707 loader or PR2681 algebra. It regenerates the canonical full word +and the PR3985 comparison word, checking every event against the narrowly +retained pending-head WORD data. No unmerged executable is imported. + +It replays the complete new word on independent current X/Y symbols and on +independent original x0/y0 symbols forwarded through F0/B1. It checks the +intermediate inverse-B1 checkpoint, all final arrays/frames, arbitrary owned +and private dirt, borrowed restoration and all nine hosted output reconstructions. The standalone nine-bank word is +also replayed with its separate zero/identity-return requirement. The adapted +signed native checker covers both signs on all 112 ports and 512 columns +(114,688 columns), binds all 224 occurrences and rejects an incorrect negative +wrapper translation. The source algebra is reused, not claimed code-disjoint. + +Controls reject missing dirty clears, reuse without initialization, premature +query clearing, native/map errors, missing output reinitialization/restoration, borrowed-output alias, +and private scratch held across a native call. Whole-word, typed-receipt, +retained-comparator and canonical-source integrity are checked separately. +Finite symbolic replay supports the ordered linear proof; it is not a complete +physical supplier, rounded implementation or formal-kernel verification. + +## Open next questions + +1. Bind the unchanged 224-output ownership contract to an actual outer caller. + This package eliminates extra query-bank allocation but does not establish + the caller's 224 output banks, their geometry or terminal consumption. +2. Choose one concrete bank layout and access protocol, then price all 689 + scalar passes (698 in the hosted block including moved definitions), plus native/map/wrapper transitions and head returns. Compare + the total to the materialized implementation before expanding construction. +3. If a complete caller budget permits it, bound the changed accumulation + order's intermediate magnitudes and rounding defects. Exact algebra alone + does not transfer a previous rounded-error estimate. + +## Attribution + +Credit ywz65 / PR2707 for full F17 normalization and its native word; Arham +Tahir / PR2681 for the ordered inverse and retained algebra; the QQ16/native, +geometry and supplier lineage credited in those sources; and Chris R / +Clear1nsight with OpenAI assistance / PR3985 for the rectangular correction. +The current change is the explicit persistent-query/reusable-work schedule, +its nine-output deferral and hosting proof, exact storage/scalar delta, and +verification. Credit the parallel output-lifetime agent for the deferred-output +observation and the coordinating agent for this bounded composition proposal; +all work is within the disclosed Codex-assisted session. Streaming linear +sums and pebbling are standard methods, not newly claimed mathematical tools. +PR2722 (Nick Petalas) and PR2794 (Arham Tahir) are distinct access predecessors. +Substantial OpenAI Codex assistance is disclosed. Apache-2.0; no independent +human or proof-assistant review is claimed. diff --git a/research/qq16-streaming-recovery/README.md b/research/qq16-streaming-recovery/README.md new file mode 100644 index 0000000000..2ac7d979e9 --- /dev/null +++ b/research/qq16-streaming-recovery/README.md @@ -0,0 +1,70 @@ +# Stream complete QQ16 recovery inside nine existing output banks + +This preserves all 224 original F17 outputs and PR3985's 224-H1 native bill +while requiring **zero additional owned banks**. Eight persistent full-cover +query sums and one reusable work bank fit into nine existing Z_U output banks +whose initial definitions are explicitly deferred. Every borrowed current X/Y +field remains unchanged, and every output bank has the required final value. + +The complete bill is **224 H1, 448 native wrappers, 352 cover maps and 26,944 +scalar allowance**. Compared with PR3985, it removes all 112 additional owned +banks and 120 CLEARs, saving 240 scalar allowance. Native work and ADD counts +are unchanged. Whole-word private scratch peak remains 16; the changed future +block uses persistent full-cover banks, with no owner-private body. No tape +count or κ improvement is claimed. + +[PROOF.md](PROOF.md) derives the standalone nine-bank stream, then proves the +nine-output deferral and paid restoration. `WORD.json` is the complete hosted +3,813-event word; `RESULT.json` contains both invoices, exact lifetimes and +full verification receipt. The standalone nine-external-bank reference is +also regenerated and replayed, with its zero/identity-return contract. + +The hosted block, including moved output definitions, has 698 scalar passes: +1138N scalar reads and 698N scalar writes for N entries. Its prefix loses 18 +passes and 18N reads/writes. Native/map/wrapper traffic, physical placement, +head movement, bit precision, outer coverage and both supplier caps remain open. + +## Reproduce + +```sh +python3 -I -Werror -B research/qq16-streaming-recovery/verify.py +python3 -I -O -Werror -B research/qq16-streaming-recovery/test_verify.py +python3 -B scripts/research_package.py --package research/qq16-streaming-recovery +``` + +Python 3.12, standard library. Normal verification is read-only; `--write` +refuses to overwrite artifacts. Canonical runtime files are authenticated +before execution. The narrowly retained PR3985 word is data, not an unmerged +executable dependency. PREDECESSORS.json records its exact head, path, blob and +hash; all source/history and replay scopes remain explicit. + +## Scope and next questions + +This is the assigned streaming-linear-algebra and pebbling branch of the +[canonical investigation](https://github.com/CrocSwap/integer-mult-bounds/pull/3985#issuecomment-6263114494), +from main `20ecf2891d80b5acf18d980b2164fb44ea7faa90`, priority revision 6. +It changes the intermediate ownership/access contract and removes an actual +storage obligation. One bounded composition reuses the independent parallel +output-lifetime insight; all nine source def-use conditions and full output +restoration are verified here without a sibling executable dependency. + +PR2722/2794 concern scratch placement and sweep directions for different fixed +words. Parallel materialized-copy output hosting and reversible borrowed-scratch +work have separate schedules. This stream defers nine output definitions and +retains full-cover query sums across native calls. Targeted overlap checks and +the shared repository helper have partial coverage; no exhaustive novelty claim. + +## Open next questions + +The bounded next questions in [PROOF.md](PROOF.md#open-next-questions) and +TASK.json are actual caller output-bank ownership, a complete movement tariff, +and changed numerical-error bounds once the complete budget permits further work. + +## Credit + +Retain ywz65 / PR2707, Arham Tahir / PR2681, the credited QQ16/native/geometry +lineage, and PR3985's rectangular correction. Credit the parallel output-lifetime +agent's insight and the coordinating agent's composition proposal. Nick Petalas +/ PR2722 and Arham Tahir / PR2794 provide distinct access precedents. New work by +Chris R / Clear1nsight with substantial OpenAI Codex assistance. Apache-2.0; +no human or formal-kernel verification claim. diff --git a/research/qq16-streaming-recovery/RESULT.json b/research/qq16-streaming-recovery/RESULT.json new file mode 100644 index 0000000000..e9b6b8ea6f --- /dev/null +++ b/research/qq16-streaming-recovery/RESULT.json @@ -0,0 +1,7616 @@ +{ + "checks": { + "independent_current_routed_arrays": 224, + "nine_bank_reference_independent_current_replay": 224, + "original_routed_arrays": 224, + "phase_coordinates": 73, + "semantic_controls": [ + "hold private scratch across native call", + "omit source native line", + "omit dirty query initialization", + "omit recycled source initialization", + "clear query before responses", + "drop inverse response map", + "omit output reinitialization clear", + "omit output restore copy", + "borrowed output alias", + "reject live selected output alias", + "wrong negative native wrapper offset" + ] + }, + "hosting": { + "aliases": { + "D": "Z10", + "Q0": "Z1", + "Q1": "Z2", + "Q2": "Z3", + "Q3": "Z4", + "Q4": "Z5", + "Q5": "Z6", + "Q6": "Z8", + "Q7": "Z9" + }, + "deferred_definitions": { + "Z1": { + "source_events": [ + 5, + 6 + ], + "word": [ + [ + "clear", + "Z1", + "current" + ], + [ + "add", + "Z1", + "X1", + "1" + ] + ] + }, + "Z10": { + "source_events": [ + 50, + 51 + ], + "word": [ + [ + "clear", + "Z10", + "current" + ], + [ + "add", + "Z10", + "X10", + "1" + ] + ] + }, + "Z2": { + "source_events": [ + 10, + 11 + ], + "word": [ + [ + "clear", + "Z2", + "current" + ], + [ + "add", + "Z2", + "X2", + "1" + ] + ] + }, + "Z3": { + "source_events": [ + 15, + 16 + ], + "word": [ + [ + "clear", + "Z3", + "current" + ], + [ + "add", + "Z3", + "X3", + "1" + ] + ] + }, + "Z4": { + "source_events": [ + 20, + 21 + ], + "word": [ + [ + "clear", + "Z4", + "current" + ], + [ + "add", + "Z4", + "X4", + "1" + ] + ] + }, + "Z5": { + "source_events": [ + 25, + 26 + ], + "word": [ + [ + "clear", + "Z5", + "current" + ], + [ + "add", + "Z5", + "X5", + "1" + ] + ] + }, + "Z6": { + 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"question": "Can a literal QQ16 producer meet the proposed completed-output error budgets with dirty helpers and an affordable physical consumer?", + "starting_points": [ + "docs/research/research-family-status.md", + "research/joint-query/README.md", + "research/joint-query/evidence/QQ16-SELECTED-WITNESS.md", + "research/joint-query/evidence/JOINT-QUERY-TRANSFER.md", + "docs/research/community-efficient1000-review.md", + "research/qq16-producer-defect-transfer/README.md" + ], + "methods": [ + "Derive one literal producer's completed-output defects and intermediate dirty-helper bounds, with its physical bill.", + "Design or audit one consumer, retention or hosting boundary and its complete cost for the pinned producer/decoder." + ], + "acceptance_gate": "Name the changed premise of the fixed F0/B1 observation obstruction. Show exactly which query is recovered, legal native reads and restoration, and a full favorable budget including cover maps, helpers and endpoints. Local inverse identities alone do not close the global controller. A scoped local result may be retained without a complete supplier. Expanding it into further construction rounds requires the family-level budget and obligation gate in research-family-status.md; an optimistic passing relaxation alone is not acceptance.", + "first_step": { + "command": [ + "python3", + "-B", + "scripts/research_baseline.py" + ], + "expected": "PASS_RESEARCH_BASELINE_BINDINGS_ONLY", + "inspect": "Read the revision-6 family record and #2965 producer-defect transfer after the local QQ16 decoder contract. Its author-checked output-error estimate does not implement producer interiors, bound dirty helpers, or pay for the consumer; independently check the implication used.", + "scope": "Source-bound orientation only. Read the named package and review before relying on its local evidence; this command is not its replay or supplier admission." + }, + "first_experiment": "Pin one literal F0/B1 producer and its native-child contracts; derive the actual intermediate magnitude ledger and completed-output defects, including dirty helpers and correlations. Compare with #2965 budgets and price storage, movement, cleanup and F17 consumption. Stop with a precise missing bound if no producer contract supplies it; do not optimize another decoder precision constant in isolation.", + "bottleneck_link": "The native local words exist; retained query information and its physical access are the missing link to a composed recursive interface.", + "allowed_variations": [ + "One paid query, one changed first pair, or one precisely specified affine helper state.", + "A counterexample or lower bound for that exact proposed repair.", + "One unresolved obligation of a newer local decoder, with exact source heads and a distinct claim/domain." + ], + "scope_change_triggers": [ + "Retaining the fixed first pair and ordinary schedule while allowing only homogeneous selected-only control, already excluded by the witness.", + "Treating cover-map counts as zero-cost physical address operations.", + "Recreating the pending complete local decoder or early-record/output-bank coalescing already under investigation without a distinct audit or changed premise.", + "Treating a completed-output defect inequality as a producer-interior, dirty-range or physical-cost certificate." + ], + "overlap_terms": [ + "QQ16", + "joint-query", + "changing-chart controller", + "selected observation", + "1969", + "2540", + "early record", + "output-bank retention", + "complete native decoder", + "2965", + "producer defect", + "dirty-helper range", + "F17 consumer" + ] + }, + "scope_status": "refined", + "actual_scope": "Stream the full PR3985 rectangular recovery through eight persistent full-cover query banks and one reusable work bank; then host these nine roles in nine source-proven deferred Z_U outputs, with exact full invoice, def-use lifetime and output restoration.", + "scope_change_reason": "User explicitly assigned contrasting streaming linear algebra/external-memory pebbling. One bounded pivot uses the parallel output-lifetime insight; all nine source def-use facts are independently checked, with no sibling executable dependency.", + "bottleneck_link": "Eliminate actual full-cover temporary allocation rather than optimize an isolated precision constant. Preserve native savings and quantify changed scalar access; movement/outer supplier remain unknown.", + "budget_minutes": 60, + "stop_rule": "One standalone stream and one exact nine-output hosting composition only. Stop on any access/frame/dirty/output failure or missing complete primitive bill. No global construction or kappa inference from local storage savings.", + "outcome": "completed", + "evidence": "PROOF.md; complete WORD.json/RESULT.json; verify.py/replay.py/native.py; test_verify.py and VERIFICATION.json.", + "author": "Chris R / Clear1nsight with substantial OpenAI Codex assistance", + "ai_assistance": "Substantial OpenAI Codex assistance in derivation, implementation, checking and writing; user-authorized parallel agents. Output-lifetime insight credited to sibling agent, bounded composition to coordinating agent. No human or formal-kernel review.", + "open_questions": [ + { + "question": "Can an actual caller supply and consume the unchanged224 owned output-bank contract?", + "why_it_matters": "Zero additional query banks does not provide the output banks, terminal consumption or productive-family coverage.", + "first_step": "Bind this nine-slot lifetime and full224 output demand to one real outer continuation and enumerate its reads/stock.", + "blocked_by": "Actual outer bank placement and complete coverage contract remain open." + }, + { + "question": "What is the complete physical movement bill of this streamed schedule?", + "why_it_matters": "Persistent full-cover sums change access order; fewer banks alone does not imply less head travel.", + "first_step": "Choose a concrete layout and price the698 scalar block passes, moved prefix definitions, native/maps/wrappers and all returns.", + "blocked_by": "No declared physical layout/address/control implementation." + }, + { + "question": "What error bound holds under the changed accumulation order?", + "why_it_matters": "Exact reordering does not preserve a former rounded execution.", + "first_step": "After complete budget permits, trace intermediate magnitudes and rounding defects under actual precision contracts.", + "blocked_by": "Physical caller and full supplier budget are not admitted." + } + ], + "assignment": "Explicit user-assigned parallel streaming/pebbling item; no task reroll.", + "canonical_investigation": "https://github.com/CrocSwap/integer-mult-bounds/pull/3985#issuecomment-6263114494", + "scope_key": "QQ16/PR3985/persistent-query-stream/nine-deferred-output-hosting", + "started_at_utc": "2026-10-19T08:26:09Z", + "checkpoints": [ + { + "at_utc": "2026-10-19T08:26:09Z", + "main": "20ecf2891d80b5acf18d980b2164fb44ea7faa90", + "priority_revision": 6, + "decision": "Read current guidance/family gate; assigned scope; shared canonical refresh unchanged; binding baseline PASS." + }, + { + "at_utc": "2026-10-19T08:42:00Z", + "main": "20ecf2891d80b5acf18d980b2164fb44ea7faa90", + "priority_revision": 6, + "decision": "Fetched canonical main before bounded hosting pivot, unchanged. Preserved verified standalone nine-bank word and sources; no frontier change." + } + ], + "overlap": { + "queries": [ + "QQ16 streaming", + "QQ16 query accumulator / pebbling /112 temporary" + ], + "nearest": [ + 3985, + 2722, + 2794, + 2707, + 2681 + ], + "difference": "Changes intermediate full-cover query accumulation and hosts only9deferredoutputs; prior scratch-travel/direction packages price other fixed words. Parallel materialized-copy hosting uses a different access/private-scratch schedule.", + "coverage": "Targeted live PR searches plus root sharedDiscussion/handoff/helper check; incomplete snapshots/no gh. No exhaustive novelty guarantee." + } +} diff --git a/research/qq16-streaming-recovery/VERIFICATION.json b/research/qq16-streaming-recovery/VERIFICATION.json new file mode 100644 index 0000000000..32158627c5 --- /dev/null +++ b/research/qq16-streaming-recovery/VERIFICATION.json @@ -0,0 +1,62 @@ +{ + "status": "PASS_REGISTERED_RESEARCH_PACKAGE outcome=completed; exact frozen science independently replayed", + "normal_generation": "PASS_QQ16_HOSTED_STREAMING_RECOVERY; complete hosted original/current and standalone independent-current symbolic replays,11semantic controls, signed native kernels", + "science_files": { + "verify.py": "612c71780d51b2f7d24af75942b8863a7318f9222cb441965aa72e0cf020be4d", + "replay.py": "4a98d140f34864302edd745d7031b52e3b457cc3409d5ee9070e953a8d4702be", + "native.py": "ace9d8c33256e96f3d159a0529b78fe0dbe1158e8250f67a32989fa5593465d1", + "PROOF.md": "81f0fa19b19fa7302ba9c61f4f1b2e11758f973b964240ba48c16ae9b6997396", + "WORD.json": "272d8c1bd172c29044eb227ec6d67a882501250978234685e035158f4479aa58", + "RESULT.json": "b4af55d3db3212e79f8f31108e048c5c2d4c32d520fc980ebaa66f47933ad622" + }, + "source_reuse": "Canonical PR2707 loader/PR2681 routed algebra authenticated before execution. Signed kernels adapted fromPR3985/2707. Pending3985comparisonWORD is hashed data only.", + "preliminary_failures_and_corrections": [ + { + "finding": "First hosted def-use census used the named checkpoint, which is after112 Z updates and rejected Z1.", + "correction": "Restoration and census bind to exact future-block end before the first preserved Z update. Found by local rejection and independently flagged by output-hosting reviewer.", + "scientific_effect": "No invalid word or receipt was retained; final full hosted replay passes." + }, + { + "finding": "Live-selected-output negative-control constructor mixed a list and tuple.", + "correction": "Convert source-port slice to list; final control rejects actual live selected-output references." + } + ], + "not_run": [ + "Physical tape/bit execution and complete movement bill", + "Rounded numerical-error and dirty-range analysis", + "Full producer/all-depth supplier admission", + "Lean or selected cold frontier replay", + "Independent human review" + ], + "publication_preflight": "Final commit byte/source-history check will be reported outside the self-referential commit receipt.", + "environment": { + "python": "3.12.3", + "platform": "Linux local workstation", + "completion_utc": "2026-10-19T09:00:00Z", + "time_note": "Completion observed shortly after09:00UTC; timestamp rounded to minute." + }, + "registered_validation": { + "command": "python3 -B scripts/research_package.py --package research/qq16-streaming-recovery", + "exit_code": 0, + "result": "PASS_REGISTERED_RESEARCH_PACKAGE research/qq16-streaming-recovery outcome=completed", + "coverage": [ + "Optimized isolated warning-strict complete primary replay", + "Normal and optimized complete read-only replays", + "Git-free read-only export with PATH=/nonexistent", + "Complete WORD mutation and typed RESULT mutation rejected", + "Canonical source corruption rejected before inherited execution", + "Retained pending WORD corruption rejected", + "Generation refuses overwrite" + ], + "boundary_group_durations_seconds": [ + 202.327, + 127.493 + ] + }, + "coordination_checkpoint": { + "canonical_main": "20ecf2891d80b5acf18d980b2164fb44ea7faa90", + "priority_revision": 6, + "last_root_refresh_utc": "2026-10-19T08:58:49Z", + "result": "Main, selected record and priority unchanged; narrow overlap search only new coordinated PR4003/4007; broader coverage partial." + } +} diff --git a/research/qq16-streaming-recovery/VERIFY.json b/research/qq16-streaming-recovery/VERIFY.json new file mode 100644 index 0000000000..492d0c80f9 --- /dev/null +++ b/research/qq16-streaming-recovery/VERIFY.json @@ -0,0 +1,74 @@ +{ + "schema_version": 1, + "status": "ready", + "python": "3.12", + "requirements": [], + "inputs": [ + "research/community-frontier1042-audit/selected-replay.tar.gz", + "research/joint-query/certificate.json.gz", + "research/joint-query/evidence/JOINT-QUERY-TRANSFER.md", + "research/joint-query/verify_native.py", + "research/joint-query/verify_scalar.py", + "research/qq16-line-normalized-decoder/PREDECESSORS.json", + "research/qq16-line-normalized-decoder/PROOF.md", + "research/qq16-line-normalized-decoder/README.md", + "research/qq16-line-normalized-decoder/RESULT.json", + "research/qq16-line-normalized-decoder/SOURCES.json", + "research/qq16-line-normalized-decoder/TASK.json", + "research/qq16-line-normalized-decoder/VERIFY.json", + "research/qq16-line-normalized-decoder/WORD.json", + "research/qq16-line-normalized-decoder/vendor/pr2681/PROOF.md", + "research/qq16-line-normalized-decoder/vendor/pr2681/README.md", + "research/qq16-line-normalized-decoder/vendor/pr2681/RESULT.json", + "research/qq16-line-normalized-decoder/vendor/pr2681/SOURCES.json", + "research/qq16-line-normalized-decoder/vendor/pr2681/WORD.json", + "research/qq16-line-normalized-decoder/vendor/pr2681/references/PR2540-PROOF.md", + "research/qq16-line-normalized-decoder/vendor/pr2681/references/PR2540-README.md", + "research/qq16-line-normalized-decoder/vendor/pr2681/verify.py", + "research/qq16-line-normalized-decoder/verify.py" + ], + "commands": [ + { + "argv": [ + "{python}", + "-I", + "-O", + "-Werror", + "-B", + "{package}/verify.py" + ], + "timeout_seconds": 300, + "checks": "Whole hosted recovery and standalone nine-bank reference; exact phase/dirty/borrowed/output contracts; complete 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diff --git a/research/qq16-streaming-recovery/native.py b/research/qq16-streaming-recovery/native.py new file mode 100644 index 0000000000..93b57f906d --- /dev/null +++ b/research/qq16-streaming-recovery/native.py @@ -0,0 +1,37 @@ +"""Signed native checker adapted from ywz65 PR2707 to the new224-event inventory. +The signed kernel construction and source conventions remain credited to that +work and Arham Tahir's retained native lineage. Adapted from PR3985 by Chris R / OpenAI, Apache-2.0. +""" +def need(ok,why): + if not ok:raise ValueError(why) + +def kernel_checks(P, labels, word, wrong_negative_offset=False): + recipes = [] + columns = 0 + for port, q in enumerate(labels): + pivot = (q & -q).bit_length() - 1 + basis = (q,) + tuple(1 << i for i in range(9) if i != pivot) + inverse = {P.act(basis, x): x for x in range(512)} + need(len(inverse) == 512, 'line basis bijective') + for sign in (1, -1): + offset = q if sign == -1 else 0 + if wrong_negative_offset and sign == -1: + offset = 0 + for x in range(512): + middle = inverse[x] + actual = {P.act(basis, middle) ^ offset: (1, 1), + P.act(basis, middle ^ 1) ^ offset: (1, -1)} + expected = {x: (1, sign), x ^ q: (1, -sign)} + need(actual == expected, 'signed line native kernel/global phase') + columns += 1 + occurrences = [i for i, e in enumerate(word) + if e[0] == 'line' and e[2:] == [port, sign]] + need(len(occurrences) == ((2 if port in P.A else 1) if sign == 1 else (0 if port in P.A else 1)), 'all line occurrences') + recipes.append({'port': port, 'q': q, 'sign': sign, 'rank': 1, + 'left_columns': list(basis), 'left_offset': offset, + 'right_columns': [inverse[1 << j] for j in range(9)], + 'events': occurrences}) + need(sum(len(r['events']) for r in recipes) == 224, 'complete native child coverage') + return {'signed_rank_one_recipes': recipes, 'basis_columns': columns, + 'positive_children': 224, 'monomial_wrappers': 448, + 'spectator_action': 'identity outside first nine address coordinates'} diff --git a/research/qq16-streaming-recovery/replay.py b/research/qq16-streaming-recovery/replay.py new file mode 100644 index 0000000000..2c24518492 --- /dev/null +++ b/research/qq16-streaming-recovery/replay.py @@ -0,0 +1,86 @@ +"""Full recovery replay adapted from ywz65 PR2707; source-derived routed primitives +by Arham Tahir PR2681. Adds9 streamed owned correction/query arrays and requires +their zero return. Adapted from PR3985 by Chris R / Clear1nsight with OpenAI; Apache-2.0. +""" +from collections import Counter +from fractions import Fraction as Q +F16 = tuple((1 << i, 1) for i in range(9,25)) + +def bridge(P, g, q): + """Affine translation aligning g(F17) to F16*C_q, including phase.""" + target = P.phase(F16 + ((q, 1),)) + moved = P.phase(P.move(P.F17, g, 0)) + P.need(target[1] == moved[1], 'quadratic bridge discrepancy') + difference = [(x - y) % 4 for x, y in zip(target[0], moved[0])] + P.need(all(x in (0, 2) for x in difference), 'odd bridge discrepancy') + return sum((x // 2) << j for j, x in enumerate(difference)) + +def replay(P, w, routes, labels, x2, y2, expected, middle=None, extra_owned=()): + owned = {s + str(p) for s in ('Z', 'W') for p in range(112)} | set(extra_owned) + rows = {name: {(name, P.AXES): Q(1)} for name in owned}; frames = {name: () for name in owned} + for side, bank in (('X', x2), ('Y', y2)): + for p in range(112): + name = side + str(p); rows[name] = bank[p] + frames[name] = P.F17 + (((labels[p], -1),) if side == 'Y' else ()) + borrowed = {n: dict(r) for n, r in rows.items() if n[0] in ('X', 'Y')} + borrowed_frames = {n: frames[n] for n in borrowed} + active = set(); counts = Counter() + for index, e in enumerate(w): + op = e[0]; counts[op] += 1 + if op == 'begin': + P.need(not active, 'overlapping private sweeps') + active = {'F' + str(k) for k in range(8)} + if e[2] == 16: active |= {'G' + str(k) for k in range(8)} + P.need(e[2] == len(active), 'private scratch count') + for name in active: rows[name], frames[name] = {(name, P.AXES): Q(1)}, () + elif op == 'end': + P.need(len(active) == e[2], 'private boundary') + P.need(all(not rows[n] and P.phase(frames[n]) == P.phase(()) for n in active), 'scratch leak') + for name in active: del rows[name], frames[name] + active = set() + elif op == 'clear': + _, name, f = e; P.need(name in owned | active, 'clear borrowed input'); rows[name] = {} + frames[name] = {'wide': P.F17, 'current': P.F17, 'identity': (), 'query2': F16}.get(f) + if f.startswith('hole'): frames[name] = P.F17 + ((labels[int(f[4:])], -1),) + P.need(frames[name] is not None, 'unknown clear frame') + elif op == 'add': + _, dst, src, q = e + P.need(dst in owned | active and dst != src, 'ADD ownership/alias') + P.need(dst in rows and src in rows, 'nonlive ADD role') + P.need(P.phase(frames[dst]) == P.phase(frames[src]), 'ADD frame mismatch ' + str(index)) + q = Q(q); P.need(abs(q) in (1, Q(1, 4)), 'unpriced coefficient') + rows[dst] = P.add(rows[dst], rows[src], q) + counts['unit_ADD' if abs(q) == 1 else 'quarter_ADD'] += 1 + elif op == 'line': + _, name, p, sign = e + P.need(not active and name in owned and sign in (-1, 1), 'line boundary') + frames[name] += ((labels[p], sign),) + elif op == 'stage': + _, name, sign = e + P.need(not active and name in owned and sign in (-1, 1), 'stage boundary') + frames[name] += tuple((v, sign) for v in P.BLOCK) + elif op == 'map': + _, name, stage, p, inverse = e[:5] + P.need(not active and name in owned and stage in (1, 2), 'map inside private sweep') + g = routes[stage][p]; b = P.alignment(g, P.F17) if stage == 1 else bridge(P, g, labels[p]) + if inverse: b = P.act(g, b) + if len(e) > 5 and e[5] == 'omit_shift': b = 0 + if len(e) > 5 and e[5] == 'wide_shift': b = P.alignment(g, P.F25) + if len(e) > 5 and e[5] == 'wrong_inverse_shift': b = bridge(P, g, labels[p]) + frames[name] = P.move(frames[name], g, b); rows[name] = P.routed(g, rows[name]) + elif op == 'checkpoint': + P.need(not active, 'incomplete sweep at checkpoint') + if middle is not None: + P.need([rows['Z' + str(p)] for p in range(112)] == middle[0] + and [rows['W' + str(p)] for p in range(112)] == middle[1], 'inverse B1 checkpoint') + else: raise ValueError('unknown event') + P.need(not active, 'unterminated private sweep') + for side, bank in zip(('Z', 'W'), expected): + for p in range(112): + name = side + str(p) + P.need(rows[name] == bank[p], 'wrong output ' + name) + P.need(P.phase(frames[name]) == P.phase(P.F17), 'wrong final frame') + for name in extra_owned: + P.need(not rows[name] and P.phase(frames[name]) == P.phase(()), 'temporary leak') + P.need(all(rows[n] == r and frames[n] == borrowed_frames[n] for n, r in borrowed.items()), 'borrowed restoration') + return counts diff --git a/research/qq16-streaming-recovery/test_verify.py b/research/qq16-streaming-recovery/test_verify.py new file mode 100644 index 0000000000..a37e7f2625 --- /dev/null +++ b/research/qq16-streaming-recovery/test_verify.py @@ -0,0 +1,43 @@ +#!/usr/bin/env python3 +"""Boundary tests for the source-bound same-output fusion package.""" +import hashlib,json,os,shutil,subprocess,sys,tempfile,unittest +from pathlib import Path +HERE=Path(__file__).resolve().parent;ROOT=HERE.parents[1] +def run_at(root,*extra,opt=True,env=None): + argv=[sys.executable,'-I']+(['-O'] if opt else [])+['-Werror','-B',str(root/'research/qq16-streaming-recovery/verify.py'),*extra] + return subprocess.run(argv,cwd=root,env=env,stdout=subprocess.PIPE,stderr=subprocess.STDOUT,text=True,timeout=300) +def snapshot(root): + return {str(p.relative_to(root)):hashlib.sha256(p.read_bytes()).hexdigest() for p in root.rglob('*') if p.is_file()} +class Boundary(unittest.TestCase): + def export(self): + td=tempfile.TemporaryDirectory();self.addCleanup(td.cleanup);root=Path(td.name) + shutil.copytree(HERE,root/'research/qq16-streaming-recovery',ignore=shutil.ignore_patterns('__pycache__')) + for r in json.loads((HERE/'SOURCES.json').read_text())['files']: + if r['usage']=='input': + p=root/r['path'];p.parent.mkdir(parents=True,exist_ok=True);shutil.copyfile(ROOT/r['path'],p) + return root + def test_normal_and_optimized_readonly(self): + before=snapshot(HERE) + for opt in (False,True): + p=run_at(ROOT,opt=opt);self.assertEqual(p.returncode,0,p.stdout);self.assertIn('PASS_QQ16_HOSTED_STREAMING_RECOVERY',p.stdout) + self.assertEqual(snapshot(HERE),before) + def test_git_free_readonly_export(self): + root=self.export();before=snapshot(root) + for p in root.rglob('*'): + if p.is_file():p.chmod(0o444) + env=dict(os.environ,PATH='/nonexistent',PYTHONDONTWRITEBYTECODE='1') + p=run_at(root,env=env);self.assertEqual(p.returncode,0,p.stdout);self.assertEqual(snapshot(root),before) + def test_source_authenticated_before_execution(self): + root=self.export();p=root/'research/qq16-line-normalized-decoder/verify.py';p.write_text('raise RuntimeError("EXECUTED_CORRUPT_SOURCE")\n') + out=run_at(root);self.assertNotEqual(out.returncode,0);self.assertIn('source hash:',out.stdout);self.assertNotIn('RuntimeError: EXECUTED',out.stdout) + def test_full_word_and_typed_receipt(self): + root=self.export();word=root/'research/qq16-streaming-recovery/WORD.json';original=word.read_bytes();w=json.loads(original);w[0][2]='identity';word.write_text(json.dumps(w)) + out=run_at(root);self.assertNotEqual(out.returncode,0);self.assertIn('whole word mismatch',out.stdout) + word.write_bytes(original);receipt=root/'research/qq16-streaming-recovery/RESULT.json';r=json.loads(receipt.read_text());r['new_full_invoice']['line']=224.0;receipt.write_text(json.dumps(r)) + out=run_at(root);self.assertNotEqual(out.returncode,0);self.assertIn('whole typed receipt mismatch',out.stdout) + def test_retained_word_integrity(self): + root=self.export();p=root/'research/qq16-streaming-recovery/vendor/PR3985-WORD.json';p.write_bytes(p.read_bytes()+b' ') + out=run_at(root);self.assertNotEqual(out.returncode,0);self.assertIn('retained PR3985 word hash',out.stdout) + def test_generation_refuses_overwrite(self): + before=snapshot(HERE);out=run_at(ROOT,'--write');self.assertNotEqual(out.returncode,0);self.assertIn('refuse overwrite',out.stdout);self.assertEqual(snapshot(HERE),before) +if __name__=='__main__':unittest.main(verbosity=2) diff --git a/research/qq16-streaming-recovery/vendor/PR3985-WORD.json b/research/qq16-streaming-recovery/vendor/PR3985-WORD.json new file mode 100644 index 0000000000..1518ddc9b6 --- /dev/null +++ b/research/qq16-streaming-recovery/vendor/PR3985-WORD.json @@ -0,0 +1 @@ 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diff --git a/research/qq16-streaming-recovery/verify.py b/research/qq16-streaming-recovery/verify.py new file mode 100644 index 0000000000..0878b0ecb3 --- /dev/null +++ b/research/qq16-streaming-recovery/verify.py @@ -0,0 +1,215 @@ +#!/usr/bin/env python3 +"""Source-bound streamed future-logger correction for full QQ16 recovery. +Chris R / Clear1nsight with OpenAI assistance. Apache-2.0. +""" +import argparse,hashlib,json,types +from collections import Counter +from copy import deepcopy +from fractions import Fraction as Q +from pathlib import Path +HERE=Path(__file__).resolve().parent +ROOT=HERE.parents[1] +def need(ok,why): + if not ok:raise ValueError(why) +def canonical(obj):return json.dumps(obj,sort_keys=True,separators=(',',':'),allow_nan=False).encode() +def typed(obj): + if isinstance(obj,dict):return ('dict',tuple((k,typed(v)) for k,v in sorted(obj.items()))) + if isinstance(obj,list):return ('list',tuple(map(typed,obj))) + return (type(obj).__name__,obj) +def load_module(path,name): + m=types.ModuleType(name);m.__file__=str(path);exec(compile(path.read_bytes(),str(path),'exec'),m.__dict__);return m +def authenticate(): + pins=json.loads((HERE/'SOURCES.json').read_text()) + for item in pins['files']: + if item['usage']!='input':continue + raw=(ROOT/item['path']).read_bytes() + need(hashlib.sha256(raw).hexdigest()==item['sha256'],'source hash:'+item['path']) + need(hashlib.sha1(b'blob '+str(len(raw)).encode()+b'\0'+raw).hexdigest()==item['git_blob'],'source blob:'+item['path']) + return {r['path']:r['sha256'] for r in pins['files'] if r['usage']=='input'} +def materialized(P,R,original): + start=next(i for i,e in enumerate(original) if e[0]=='map' and e[2]==2) + stop=max(i for i,e in enumerate(original) if e[0]=='map' and e[2]==2)+1 + old=original[start:stop] + need(sum(e[0]=='line' for e in old)==224,'future native window') + w=[] + def emit(*e):w.append(list(e)) + # Query sources are read into disposable owned copies. All originals stay F17. + for p in P.U+P.T: + emit('clear','D'+str(p),'current');emit('add','D'+str(p),'W'+str(p),'1') + emit('map','D'+str(p),2,p,False);emit('line','D'+str(p),p,-1) + for p in P.A:emit('clear','D'+str(p),'query2') + emit('begin','rectangular_future_correction',8) + for k in range(8): + emit('clear','F'+str(k),'query2') + for p in P.U+P.T: + if R[k][p]:emit('add','F'+str(k),'D'+str(p),str(R[k][p])) + for p in P.A: + for k in range(8): + if R[k][p]:emit('add','D'+str(p),'F'+str(k),str(-R[k][p]/4)) + for k in range(8):emit('clear','F'+str(k),'identity') + emit('end','rectangular_future_correction',8) + for p in P.A: + emit('line','D'+str(p),p,1);emit('map','D'+str(p),2,p,True) + emit('add','W'+str(p),'D'+str(p),'1') + for p in range(112):emit('clear','D'+str(p),'identity') + return original[:start]+w+original[stop:],{'start':start,'stop_exclusive':stop,'old':old,'new':w} +def invoice(w): + c=Counter(e[0] for e in w) + for e in w: + if e[0]=='add': + q=abs(Q(e[3]));need(q in (1,Q(1,4)),'unpriced scalar') + c['unit_ADD' if q==1 else 'quarter_ADD']+=1 + c['native_wrappers']=2*c['line'];c['scalar_allowance']=8*c['unit_ADD']+12*c['quarter_ADD']+2*c['clear'] + return dict(sorted(c.items())) +def streamed(P,R,original): + start=next(i for i,e in enumerate(original) if e[0]=='map' and e[2]==2) + stop=max(i for i,e in enumerate(original) if e[0]=='map' and e[2]==2)+1 + w=[] + def emit(*e):w.append(list(e)) + for k in range(8):emit('clear','Q'+str(k),'query2') + for p in P.U+P.T: + emit('clear','D','current');emit('add','D','W'+str(p),'1') + emit('map','D',2,p,False);emit('line','D',p,-1) + for k in range(8): + if R[k][p]:emit('add','Q'+str(k),'D',str(R[k][p])) + for p in P.A: + emit('clear','D','query2') + for k in range(8): + if R[k][p]:emit('add','D','Q'+str(k),str(-R[k][p]/4)) + emit('line','D',p,1);emit('map','D',2,p,True) + emit('add','W'+str(p),'D','1') + emit('clear','D','identity') + for k in range(8):emit('clear','Q'+str(k),'identity') + return original[:start]+w+original[stop:],{'start':start,'stop_exclusive':stop,'old':original[start:stop],'new':w} + +def rank_pivots(matrix): + a=[list(map(Q,row)) for row in matrix];r=0;pivots=[] + for c in range(len(a[0])): + pivot=next((i for i in range(r,len(a)) if a[i][c]),None) + if pivot is None:continue + a[r],a[pivot]=a[pivot],a[r];scale=a[r][c];a[r]=[x/scale for x in a[r]] + for i in range(len(a)): + if i!=r: + scale=a[i][c];a[i]=[x-scale*y for x,y in zip(a[i],a[r])] + pivots.append(c);r+=1 + if r==len(a):break + return r,pivots + +def host_output_banks(P,word,ports=None): + ports=P.U[:9] if ports is None else ports + need(len(set(ports))==9 and all(type(p) is int and 0<=p<112 for p in ports),'host nine distinct output banks') + aliases=dict(zip(['Q'+str(k) for k in range(8)]+['D'],['Z'+str(p) for p in ports])) + start=next(i for i,e in enumerate(word) if e==['clear','Q0','query2']) + stop=next(i for i,e in enumerate(word) if e==['clear','Q7','identity'])+1 + definitions={};skip=set() + for name in aliases.values(): + refs=[i for i,e in enumerate(word[:stop]) if name in e[1:3]] + expected=[['clear',name,'current'],['add',name,'X'+name[1:],'1']] + need([word[i] for i in refs]==expected and refs[-1]