From c5810b725f0d3baefbee8730d6381d2eb3d9b983 Mon Sep 17 00:00:00 2001 From: Nick Petalas Date: Thu, 15 Oct 2026 18:00:29 +0100 Subject: [PATCH] feat(research): certify QQ16 entry-frame adapter tariffs --- .../qq16-entry-frame-tariff/PREDECESSORS.json | 19 + research/qq16-entry-frame-tariff/README.md | 213 ++++++++ research/qq16-entry-frame-tariff/RESULT.json | 488 ++++++++++++++++++ research/qq16-entry-frame-tariff/SOURCES.json | 36 ++ research/qq16-entry-frame-tariff/TASK.json | 154 ++++++ research/qq16-entry-frame-tariff/VERIFY.json | 50 ++ .../sources/PR2540-PROOF.md | 182 +++++++ .../qq16-entry-frame-tariff/test_verify.py | 136 +++++ research/qq16-entry-frame-tariff/verify.py | 275 ++++++++++ 9 files changed, 1553 insertions(+) create mode 100644 research/qq16-entry-frame-tariff/PREDECESSORS.json create mode 100644 research/qq16-entry-frame-tariff/README.md create mode 100644 research/qq16-entry-frame-tariff/RESULT.json create mode 100644 research/qq16-entry-frame-tariff/SOURCES.json create mode 100644 research/qq16-entry-frame-tariff/TASK.json create mode 100644 research/qq16-entry-frame-tariff/VERIFY.json create mode 100644 research/qq16-entry-frame-tariff/sources/PR2540-PROOF.md create mode 100644 research/qq16-entry-frame-tariff/test_verify.py create mode 100644 research/qq16-entry-frame-tariff/verify.py diff --git a/research/qq16-entry-frame-tariff/PREDECESSORS.json b/research/qq16-entry-frame-tariff/PREDECESSORS.json new file mode 100644 index 0000000000..8081aeae31 --- /dev/null +++ b/research/qq16-entry-frame-tariff/PREDECESSORS.json @@ -0,0 +1,19 @@ +{ + "pr": 2540, + "head": "630d557af5088f66b45c447969cee9576600e50b", + "author": "ywz65", + "files": [ + { + "path": "research/qq16-complete-native-decoder/PROOF.md", + "local_path": "sources/PR2540-PROOF.md", + "git_blob": "6ae136c8baef4793f4f7ae630720afff6c23a953", + "sha256": "09d587f1d6bc250e90e29fa8751a40f45be79f1a8a56af0b645c144cefaefa46" + } + ], + "parallel_bank_reuse": { + "pr": 2651, + "head": "a3b82e6f4ddcf999f8b6dcd3a6dfc3a9543a1533", + "author": "commdata2338", + "usage": "context only; no scientific input consumed" + } +} diff --git a/research/qq16-entry-frame-tariff/README.md b/research/qq16-entry-frame-tariff/README.md new file mode 100644 index 0000000000..c53ee2870d --- /dev/null +++ b/research/qq16-entry-frame-tariff/README.md @@ -0,0 +1,213 @@ +# The QQ16 decoder's separate entry-frame adapters + +The complete local decoder in [ywz65's PR #2540](https://github.com/CrocSwap/integer-mult-bounds/pull/2540) +returns the original 224 logical arrays in the common physical frame `F_U1`. +Recovering the original physical entry frames with separate per-field adapters +has **minimum native rank mass 3,696**, attained by 112 rank-sixteen children +and 112 rank-seventeen children. This is a sharp tariff in the operation model +below, not a lower bound on a general controller or multiplication algorithm. + +The endpoint is unchanged by [PR #2651](https://github.com/CrocSwap/integer-mult-bounds/pull/2651)'s +early-output-bank reuse. That result reduces banks and scalar operations; it +does not remove this particular endpoint conversion. A caller that accepts +`F_U1` directly has no obligation to perform our adapters. + +| Desired physical frame of original x, y | Added child histogram | Native rank mass | +|---|---:|---:| +| Common `F_L`, `F_L` | 224 H8 | 1,792 | +| F0 gauges `F_L`, `F_L C_q^-1` | 112 H8 + 112 H9 | 1,904 | +| Original entry gauges `C_q`, `I` | 112 H16 + 112 H17 | 3,696 | + +Here `Hr` means one rank-r native child. The decoder's existing added histogram +is `224 H1 + 16 H8`, mass 352. Appending the entry adapters gives +`224 H1 + 16 H8 + 112 H16 + 112 H17`, mass **4,048**. The inherited F0/B1 +calls, wrapper execution, movement, hosting, precision and scalar work remain +additional charges. This is not a complete supplier budget or an improved κ. + +## Boundary and operation model + +The inherited [bridge contract](../joint-query/evidence/BRIDGE-REVIEW.md) +specifies `L=`, `E1=`, `U1=L+E1`, and initial +frames `C_(d q)` on X and `I` on Y at cover owner d. The actual 112 labels +q have odd binary weight and lie in L. The [retained decoder proof](sources/PR2540-PROOF.md) +specifies its output `F_(d U1)` on both recovered fields. The target here is +the original x and y in a chosen frame, not replaying F0 on their values. + +Each terminal field is adapted independently, with arbitrary input content. +Allowed operations are translations and invertible linear permutations of +the binary payload address, and positive or negative canonical rank-r +convolution kernels, including their conjugates by those permutations. A +rank-r kernel is a product of r independent native line factors. Products +of arbitrarily many allowed operations are permitted; rank mass is the sum +of their native child ranks. Payload-independent nonzero global scalars can +also be allowed without changing the proof. + +Cross-field mixing, borrowed observations, clearing input data, shared +multi-field children, payload-dependent phase masks, changing cover owners, +and fusion into the decoder or a later consumer are outside this model. +In particular, arbitrary monomial Clifford wrappers must not be declared +free here. Only the stated affine address operations are free in the lower +bound. The construction gives explicit affine wrappers, whose physical +execution still needs payment. These adapters act in place on each owned +output bank without helpers or scratch. + +## Proof of the tariff + +Write `C_a=((1+i)I+(1-i)T_a)/2`. On Fourier character u it has multiplier +`i^(a dot u)`, where the binary dot product is 0 or 1 as an integer. A signed +line product and a translation therefore have phase + +```text +p(u) = sum_j sign_j * (a_j dot u) + 2*(delta dot u) mod 4. +``` + +Normalize any constant phase to zero. There is a symmetric binary matrix B +with + +```text +p(u+v) - p(u) - p(v) = 2 u^T B v mod 4, +B = sum_j a_j a_j^T over F2. +``` + +The line signs disappear modulo two; translations contribute zero to B. +Under an invertible linear change of payload coordinates, B changes by +congruence, so its rank is invariant. Phase multiplication adds the matrices. +Moving all linear permutations to the end of a word expresses its phase +matrix as a sum of congruences of its child matrices. The final permutation +must be identity to implement the required convolution on arbitrary data. +A rank-r child has phase matrix rank r. Subadditivity of matrix rank gives + +```text +rank(B_target) <= sum of child ranks. +``` + +For the original entry endpoint the required multipliers are +`C_q F_U1^-1` on X and `F_U1^-1` on Y. Their matrices on U1 are respectively +`I17 + q q^T` and `I17`. Since `q dot q=1`, the first matrix has kernel +exactly `` and rank 16. The second has rank 17. Identity spectators add +zero blocks. For the F0 gauges the matrices are the E1 projector and that +projector plus `q q^T`, of ranks 8 and 9. The common-F_L case has rank 8 on +both fields. Summing over the 112 independent ports proves the lower bounds. + +The source's first idle child gives orthonormal axes `a1,...,a16` and a +translation delta satisfying the complete, phase-sensitive identity + +```text +F_U1 C_q^-1 = T_delta * product_j C_aj. +``` + +Its inverse is + +```text +C_q F_U1^-1 = T_(delta XOR a1 XOR ... XOR a16) * product_j C_aj, +``` + +because `C_a^-1=T_a C_a`. This attains rank 16. The Y inverse uses the +17 coordinate axes and translation `e0 XOR ... XOR e16`. The F0-gauge +adapters use the eight E1 axes for X and `{q} union E1` for Y, again converting +every negative line to a positive line plus translation. The common-F_L +adapter uses the X recipe on both fields. [RESULT.json](RESULT.json) gives +all 448 entry/F0-gauge recipes and orthogonal wrapper columns on the 17 active +axes. Append the 56 fixed coordinate spectators for explicit 73-coordinate +charts. Conjugating a canonical rank-r kernel by this chart realizes each +positive axis product. No phase or sign is inferred from rank alone. + +For common payload tensor length lambda, the target phase matrices are lambda +diagonal copies of these matrices. A rank-r tensor child contributes rank +`lambda*r`, even if the allowed permutations mix tensor layers. Dividing the +rank inequality by lambda gives the same child-rank tariff for every positive +lambda. The constructive identities tensor exactly. Applying owner d is an +invertible coordinate change, so the identities hold at every fixed owner. +This does not supply a physical traversal of those owners. + +For `0 <= a < 1`, the same separate adapters minimize the unnormalized native +moment. If one field requires rank s and uses ranks r_j, then + +```text +sum_j r_j^(1-a) >= (sum_j r_j)^(1-a) >= s^(1-a). +``` + +One rank-s child attains equality. At width m=73, the entry tariff is +`112*(16/73)^(1-a) + 112*(17/73)^(1-a)`. Appending the unchanged decoder adds +`224*(1/73)^(1-a) + 16*(8/73)^(1-a)`. These are native terms before any +caller normalization or other charges. They do not prove that the combined +word is optimal when fusion or a different output contract is permitted. + +## Reproduce and evidence + +Use Python 3.12 and the standard library, from the repository root: + +```sh +python3.12 -I -B scripts/research_package.py --package research/qq16-entry-frame-tariff +``` + +The registered replay runs the exact verifier normally and with `-O`, plus +the artifact tests. No predecessor Python verifier is imported or executed. +The main verifier authenticates the source archive and the retained PR2540 +proof, extracts the actual 112 port recipes, and compares complete Z4 phases +at zero, every unit vector and every two-bit vector. This is 154 determining +characters per recipe. Binary parity modulo four has degree at most two, so +these checks establish the full phase identity on the active 17 coordinates. +It checks 68,992 adapter phase values and 17,248 source-hole phase values, +all orthogonal wrapper charts and the lower-bound ranks. + +Six semantic controls reject a wrong translation, omitted axis, understated +rank, equal-rank wrong subspace, inverse sign and duplicate axis. A separate +test compares exact Gaussian-integer convolution coefficients on all 131,072 +addresses for the actual first-port entry-X adapter. This checks the physical +kernel, including its zero coefficients, rather than using the phase checker. +Other tests exercise source and result corruption, read-only replay and +overwrite refusal. Exact pins and the task/freshness record are in +[SOURCES.json](SOURCES.json), [PREDECESSORS.json](PREDECESSORS.json) and +[TASK.json](TASK.json). The source archive is an immutable historical geometry +input, not a claim to use its older supplier as today's frontier. + +This is a written scoped proof with exact finite source-binding checks. +It does not independently re-prove the decoder, recertify its native kernels, +run the selected full cold replay, establish global controller compatibility, +or prove the full multiplication theorem. No selected record changes. + +## Open next questions + +1. Can a complete caller consume the recovered arrays directly in `F_U1`? + Specify its exact input/output map and frames, then identify which of these + separate adapters disappear. The blocker is a priced physical consumer, + including restoration, rather than another logical inverse. +2. Can coupling fields or fusing the conversion with decoder instructions beat + this separate-adapter tariff? First supply one exact dirty-input typed word + with a smaller complete moment. Such operations fall outside this proof; + this tariff does not exclude them. + +These are bounded reopening tests, not a decision to expand the family. +Unknown hosting and caller costs remain unknown, rather than zero. + +## Credit and engineering notes + +Nick Petalas. Apache-2.0. Credit ywz65 for the complete native decoder and its +PR2511/PR2512 dependencies; commdata2338 for the parallel bank reuse; +Ali Romman for QQ16; starship-s, Sagar Thakrar and Ross Richardson for the +retained reconstruction/retention work; and the geometry, compiler, owner +and selected-supplier lineage in the unchanged +[joint-query notice](../joint-query/NOTICE.md). The retained PR2540 proof +is an exact source copy. Substantial AI assistance was used; no independent +human review or proof-assistant verification is claimed. + +Build the Lever led to the rerunnable source-bound tariff checker. Foundational +Thinking led to signed binary-axis phases and explicit wrapper columns as the +data model. Prove It Works led to checking actual archived labels and complete +native phases. Test Behavior, Not Implementation led to public CLI mutation +tests and the separate convolution check. + +Power-of-Ten review: the checker has no recursion, callbacks or subprocesses; +loops are bounded by authenticated 112-port data, 17 active axes, fixed +154-character sets, six controls and bounded metadata. Functions fit within +60 lines. Size limits and source authentication precede scientific parsing; +invariants use explicit exceptions and remain active with `-O`. Python allocates +managed objects during checking, a rule-3 deviation. Its live inputs are bounded +by a 20 MiB pinned archive, 1 MiB JSON members/receipts and a 1 MiB result; +there is no service loop or unbounded work queue. Archive decoder and Python +runtime allocations are inherited library behavior, not independently profiled. +Follow up with streaming or a fixed-capacity implementation if this fixed +112-port checker becomes a variable-size service. Warnings and compilation +checks run in the registered test command; no additional analyzer is installed +as a package dependency. diff --git a/research/qq16-entry-frame-tariff/RESULT.json b/research/qq16-entry-frame-tariff/RESULT.json new file mode 100644 index 0000000000..157d3a854f --- /dev/null +++ b/research/qq16-entry-frame-tariff/RESULT.json @@ -0,0 +1,488 @@ +{ + "F0_adapter_histogram": { + "8": 112, + "9": 112 + }, + "F0_adapter_rank_mass": 1904, + "active_axes": 17, + "adapter_phase_evaluations": 68992, + "common_F_L_adapter_histogram": { + "8": 224 + }, + "common_F_L_adapter_rank_mass": 1792, + "decoder_plus_entry_histogram": { + "1": 224, + "8": 16, + "16": 112, + "17": 112 + }, + "decoder_plus_entry_rank_mass": 4048, + "entry_adapter_histogram": { + "16": 112, + "17": 112 + }, + "entry_adapter_rank_mass": 3696, + "model": "separate single-field convolution kernels and affine payload maps", + "payload_dimension": 73, + "ports": 112, + "rejected_controls": [ + "missing translation bit", + "omitted child axis", + "underpriced child", + "equal-rank wrong subspace", + "inverse sign", + "duplicate axis" + ], + "source_hole_phase_evaluations": 17248, + "status": "PASS_QQ16_ENTRY_FRAME_TARIFF", + "adapters": [ + {"active_wrapper_columns": [13, 14, 7, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192, 16384, 32768, 65536, 11], "boundary_field": "entry_X", "port": 0, "positive_child_axes": [13, 14, 7, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192, 16384, 32768, 65536], "rank": 16, "translation_after": 131067}, + {"active_wrapper_columns": [1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192, 16384, 32768, 65536], "boundary_field": "entry_Y", "port": 0, "positive_child_axes": [1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192, 16384, 32768, 65536], "rank": 17, "translation_after": 131071}, + {"active_wrapper_columns": [512, 1024, 2048, 4096, 8192, 16384, 32768, 65536, 11, 13, 14, 7, 16, 32, 64, 128, 256], "boundary_field": "F0_X", "port": 0, "positive_child_axes": [512, 1024, 2048, 4096, 8192, 16384, 32768, 65536], "rank": 8, "translation_after": 130560}, + {"active_wrapper_columns": [11, 512, 1024, 2048, 4096, 8192, 16384, 32768, 65536, 13, 14, 7, 16, 32, 64, 128, 256], "boundary_field": "F0_Y", "port": 0, "positive_child_axes": [11, 512, 1024, 2048, 4096, 8192, 16384, 32768, 65536], "rank": 9, "translation_after": 130571}, + {"active_wrapper_columns": [21, 22, 8, 7, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192, 16384, 32768, 65536, 19], "boundary_field": "entry_X", "port": 1, "positive_child_axes": [21, 22, 8, 7, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192, 16384, 32768, 65536], "rank": 16, "translation_after": 131067}, + {"active_wrapper_columns": [1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192, 16384, 32768, 65536], "boundary_field": "entry_Y", "port": 1, "positive_child_axes": [1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192, 16384, 32768, 65536], "rank": 17, 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"7d185cd8c2af35988d638d969748ad7b670f902606444dbfc748e4402c340df6" + }, + { + "path": "research/community-frontier1042-audit/selected-replay.tar.gz", + "usage": "input", + "git_blob": "6f4dc6fe7631d8aacf8081fcaecf32197181685b", + "sha256": "22c3f4dce4b897a1d423d1388801933e288b6a6b1906cb15e1b16a5eb68db754" + }, + { + "path": "research/joint-query/evidence/BRIDGE-REVIEW.md", + "usage": "input", + "git_blob": "86139908c418235588045324f0873de6ac9f9707", + "sha256": "d01b5f4959f7c91f835496d050dfae3eeab9dee2f581571c316a42571eaa1cd3" + }, + { + "path": "research/joint-query/evidence/CONSERVED-QQ16.md", + "usage": "input", + "git_blob": "4639583c1be02c2fb60ed8a8072c9969ef1569ce", + "sha256": "60f0de3a7205ba5046b5ae7ffa8bf2b1ea42ea46b498face0a77966b59e7f3fb" + } + ] +} diff --git a/research/qq16-entry-frame-tariff/TASK.json b/research/qq16-entry-frame-tariff/TASK.json new file mode 100644 index 0000000000..1004534c28 --- /dev/null +++ b/research/qq16-entry-frame-tariff/TASK.json @@ -0,0 +1,154 @@ +{ + "schema_version": 1, + "task_id": "joint-query-controller", + "priority_revision": 5, + "base_commit": "b4560d9e7216f72b73c5aa940ac099c05e33ccf9", + "original_card": { + "id": "joint-query-controller", + "question": "Can one unresolved retention, output-consumer, hosting or physical-cost obligation complete a pinned QQ16 controller proposal within budget?", + "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" + ], + "methods": [ + "Design and price one consumer or retained-state boundary for a pinned local decoder, including final restoration.", + "Audit one claimed physical invoice or prove a target-specific obstruction for its explicit retention/hosting contract." + ], + "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 QQ16 row in research-family-status.md. The fixed-first-pair witness remains scoped; pending #2540 adds early records and claims a complete local native decoder, but not a favorable global controller. Read its output-frame and ownership contract before designing another inverse.", + "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": "Check live claims and pin the newest relevant completed local word (starting lead #2540). Choose one unresolved consumer, retention, whole-cover movement, hosting or precision obligation. Price the complete proposal and test that obligation; do not repeat its claimed local inverse or native reconstruction unless providing distinct independent verification.", + "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." + ], + "overlap_terms": [ + "QQ16", + "joint-query", + "changing-chart controller", + "selected observation", + "1969", + "2540", + "early record", + "output-bank retention", + "complete native decoder" + ] + }, + "scope_status": "refined", + "actual_scope": "Sharp separate per-field terminal adapter tariff from the complete QQ16 decoder output F_U1 to the original entry gauges C_q/I, with F0-gauge and common-F_L controls.", + "scope_change_reason": "The card explicitly permits an unresolved output-consumer or physical-cost obligation. This narrows to the endpoint tariff without recreating the decoder or the concurrent early-bank reuse; it does not claim a complete caller.", + "bottleneck_link": "A logical inverse in a new frame may repay native child costs at the consumer. This supplies the exact separate-adapter charge and its domain; a caller that accepts F_U1 or fuses operations could avoid this terminal model.", + "budget_minutes": 60, + "stop_rule": "Stop after an exact matching lower bound and constructive tariff on all 112 labels, source and phase controls, registered replay and scoped handoff; stop without expansion if source bindings or the construction fail.", + "outcome": "completed", + "evidence": "RESULT.json records 112 rank-16 and 112 rank-17 entry adapters, native rank mass 3,696, and decoder-plus-entry mass 4,048. All 68,992 adapter phase checks, 17,248 source-hole phase checks, six semantic controls and six artifact tests pass. The physical test checks all 131,072 coefficients on actual port 0. A written proof covers every positive common tensor depth.", + "author": "Nick Petalas", + "ai_assistance": "Substantial AI assistance was used; no independent human review is claimed.", + "open_questions": [ + { + "question": "Can one complete caller accept the recovered original arrays directly in F_U1?", + "why_it_matters": "This would avoid some or all of the separately charged terminal adapters.", + "first_step": "Specify one complete native consumer map, input/output frames and full charged ledger; compare with the combined native rank mass of 4,048.", + "blocked_by": "No priced physical caller and global endpoint/restoration contract is supplied here." + }, + { + "question": "Can cross-field synthesis or fusion with decoder instructions beat the separate-adapter moment?", + "why_it_matters": "Those operations are outside the rank-sum theorem and could change the cost decision.", + "first_step": "Give one small exact typed word with arbitrary input/dirty restoration and a lower complete moment at the same final gauge.", + "blocked_by": "A new legal coupled native word, including all children, wrappers and cleanup." + } + ], + "selection": { + "seed": "2e1935663025daf589521caf565fcfa1", + "track": "recursive-interfaces", + "scope_key": "b8872a10540bed52f194", + "refined_key": "QQ16/PR2540/F_U1-to-Cq-I/separate-affine-convolution-adapters" + }, + "claim": "https://github.com/CrocSwap/integer-mult-bounds/discussions/2657", + "predecessors": [ + { + "pr": 2540, + "head": "630d557af5088f66b45c447969cee9576600e50b", + "author": "ywz65", + "role": "inherited endpoint and native invoice; proof retained exactly" + }, + { + "pr": 2651, + "head": "a3b82e6f4ddcf999f8b6dcd3a6dfc3a9543a1533", + "author": "commdata2338", + "role": "parallel bank reuse with same endpoint; context only" + }, + { + "pr": 1969, + "head": "a6e6ad3936f67b8f63b5b68c5e75d540610a65e7", + "author": "Ali Romman", + "role": "retained main joint-query contract and native/bridge source lineage" + } + ], + "overlap": { + "checked_at": "2026-10-15T17:00:07.674738+00:00", + "coverage": { + "open_prs": { + "fetched_at": "2026-10-15T16:57:32.455011+00:00", + "complete_pagination": true, + "records": 827 + }, + "discussions": { + "fetched_at": "2026-10-15T17:00:07.578625+00:00", + "complete_pagination": true, + "records": 1310 + } + }, + "warnings": [], + "terms": [ + "QQ16 entry frame", + "qq16-entry-frame", + "frame tariff", + "C_q F_U1" + ], + "match_count": 5, + "nearest": "PR2540 decoder, PR2651 bank reuse, PR2603/2628 precision, PR2328/2416 earlier fixed shear-prefix tariffs. These do not price the 224 complete-decoder output gauges. Cached title/body/comment search is not a novelty guarantee; code diffs and arbitrary files are not searched.", + "decision": "The precise final search found this package/claim and unrelated frame-tariff references; no matching completed QQ16 entry-gauge tariff was identified. Coverage is title/body/comment/local top-level metadata, not every diff or unpublished work." + }, + "validation": { + "python": "CPython 3.12.15 on macOS arm64", + "environment": "standard library; interpreter /Users/nick/git/integer-mult-bounds/.venv/bin/python", + "independent_internal_review": "Separate internal mathematical review found no defect, ran optimized replay and all 131072 characters for each of the 4 first-port adapter families; no human review.", + "unrun": [ + "selected full cold replay", + "decoder recertification", + "physical hosting/movement/precision", + "proof-assistant theorem" + ], + "artifact_review": "A separate internal read-only artifact review found no material issue, authenticated all source pins and passed the six tests under Python 3.12.15 and 3.14. No human review." + }, + "freshness": { + "utc": "2026-10-15T16:57:47.489923+00:00", + "canonical_main": "1884c509efc004524786e9b7cfcc4aca572316d5", + "priority_revision": 5, + "base_retained": "b4560d9e7216f72b73c5aa940ac099c05e33ccf9", + "decision": "Continue. New efficient1100 integration adds earlier scoped packages and a review, but all guidance, selected record, joint-query input files, archive and package runner are unchanged. No new direct output-gauge tariff was identified in that review. Frozen scientific inputs stay pinned.", + "source_heads_unchanged": [ + 2540, + 2651 + ] + } +} diff --git a/research/qq16-entry-frame-tariff/VERIFY.json b/research/qq16-entry-frame-tariff/VERIFY.json new file mode 100644 index 0000000000..05577558e4 --- /dev/null +++ b/research/qq16-entry-frame-tariff/VERIFY.json @@ -0,0 +1,50 @@ +{ + "schema_version": 1, + "status": "ready", + "python": "3.12", + "requirements": [], + "inputs": [ + "research/community-frontier1042-audit/selected-replay.tar.gz", + "research/joint-query/evidence/BRIDGE-REVIEW.md", + "research/joint-query/evidence/CONSERVED-QQ16.md" + ], + "commands": [ + { + "argv": [ + "{python}", + "-I", + "-B", + "-W", + "error", + "{package}/verify.py" + ], + "timeout_seconds": 30, + "checks": "Actual 112 labels, exact phase identities, wrapper charts, rank bound and 6 semantic failure controls." + }, + { + "argv": [ + "{python}", + "-I", + "-O", + "-B", + "-W", + "error", + "{package}/verify.py" + ], + "timeout_seconds": 30, + "checks": "All scientific checks remain active under optimized Python." + }, + { + "argv": [ + "{python}", + "-I", + "-B", + "-W", + "error", + "{package}/test_verify.py" + ], + "timeout_seconds": 60, + "checks": "Exact physical convolution at all 131072 addresses; public CLI source/result faults, overwrite refusal, read-only relocation and compilation diagnostics." + } + ] +} diff --git a/research/qq16-entry-frame-tariff/sources/PR2540-PROOF.md b/research/qq16-entry-frame-tariff/sources/PR2540-PROOF.md new file mode 100644 index 0000000000..6ae136c8ba --- /dev/null +++ b/research/qq16-entry-frame-tariff/sources/PR2540-PROOF.md @@ -0,0 +1,182 @@ +# A complete local decoder with temporal ownership + +This construction composes the pinned PR2511 selected-sum decoder with PR2512's +current-frame native maps. It supplies the entire **added** local decoder, +including early capture and retirement. The inherited F0/B1 calls are premises +of the timeline and retain their own costs. No physical hosting or supplier +admission follows from this local word. + +## 1. Exact timeline and output contract + +Use the actual 112 ports, eight-port sets A,T and 96-port complement U. Put +V=A union T. The original pair is `(x,y)`, the completed F0 pair is `(x1,y1)`, +and the completed B1 pair is `(x2,y2)`. The source's first two events on pair 0 +are F0 and B1, before the next bridge. The unchanged source parser verifies this +binding. Other pairs and all inherited dirty/helper fields are untouched by +the new decoder. + +At complete F0, every selected X1 field has physical frame +`F_L=product_(j=0,...,8) C_(d e_j)`. Allocate sixteen **owned** full-cover banks +R_p, clear them and add X1_p into them. These are sixteen paid ADDs and sixteen +paid CLEARs. All source fields are unchanged. R lives outside the inherited +L/C field namespace and is held unchanged across B1; storage and retention are +explicit premises, not supplied for free by the original controller. + +After complete B1, each current X_p has frame `F_U1`, and each current Y_p has +frame `F_U1 C_(d q_p)^-1`, where `U1=`. R still has frame F_L and +logical content x1_V. The decoder is allowed to borrow all 224 current physical +X/Y fields. It restores all of them, including every Y temporarily normalized. +It uses selected current X/Y only to form their sums in final Y output banks. + +The caller supplies 224 exclusively owned output banks Z_p,W_p. Their prior +contents may be arbitrary and are discarded by charged CLEARs. At exit they +contain **original x_p,y_p in the common physical frame F_U1**. This is a +specified output contract, not a claim that their original pre-F0 physical +frames are restored. R is separately cleared at exit in its old frame F_L; +those sixteen retirement CLEARs are also charged. R never aliases Z or W. + +There are at most sixteen owned local scratch arrays at any one cover owner. +The L2 body uses one scratch lifetime C, cleans it, and completes its full owner +sweep. A later F0-inverse body uses sixteen scratch lifetimes F_k,G_k, cleans +all of them, and completes its sweep. Those lifetimes do not overlap, so the +first can reuse a slot of the later sixteen. This is local scratch, not sixteen +additional full-cover banks. Every full-cover map finishes outside both bodies. + +The `history_boundary` record in WORD.json denotes the inherited completed B1 +call between the two portions of the added word. It is **not** a zero-cost gate. +The checker models 16 earlier X1 symbols and 224 current physical symbols as +independent temporal observations, then checks their actual F0/B1 relationship +through the retained logical decoder. No assertion that those 240 observations +are independent functions of the original 224 inputs is made. + +## 2. Native prefix and current L2 query + +Copy R_p into the eventual Z_p output for each p in V, after clearing Z in F_L. +Apply positive `F_E1=product_(j=9,...,16) C_(d e_j)` to each of these sixteen Z +banks. This costs sixteen rank-eight children and puts x1_V in frame F_U1. +R is unchanged. In particular Z_T is now the actual eight-record input to L2; +there is no later downgrade because it is an eventual output bank. + +For p in U, normalize borrowed Y_p by C_qp, clear Z_p in F_U1, add X_p and Y_p, +then restore Y_p by C_qp^-1. Z_U now contains x2_U+y2_U in frame F_U1. + +Use PR2512's actual current-chart maps on Z_U and Z_T: + +``` +B_p = M(g_p,b_p), b_p = delta_p + g_p delta_p, +B_p F_U1 = F_U1 D_p, B_p^-1 = B_p. +``` + +The added translations are material: old delta_p fails the full-frame identity +for every one of the 104 used ports. Source reconstruction checks the exact +73-bit g_p, original translations and native phase rows. The inherited complete +phase-polynomial checker and a separate zero/singleton/two-bit literal parity +check establish the identity on all characters. The latter uses 281,008 +evaluations; parity modulo four has degree at most two, so these determine the +whole identity. Owner pullback and tensor products extend it to arbitrary +owners and payload layers. This is not a constant-slice argument. + +After these full-cover maps, at one owner execute the whole private L2 body: +for k=0,...,7, clear C, form `C=sum_(t in T) R[k,t] Z_t`, add +`-R[k,p] C/4` to each ordinary Z_p, and clear C. All fields have the same current +frame. Reverse all 104 maps. The unchanged ordered L2 identity gives + +``` +Z_U = x2_U+y2_U-K_(1,U) ell_(1,T) x1_T = x1_U. +``` + +Z_T restores its logical x1_T; Z_A was unaffected. Therefore all 112 Z banks +now contain x1 in common frame F_U1. The ordered matrix product g_p^-1 g_t is +tracked exactly; port-dependent owner actions are not commuted through R. + +## 3. Complete F0 inverse and Y outputs + +The actual source F0 chart is identity. This is checked in the retained route +parser; the literal F0 program has no cover maps. Its source matrices satisfy +`R_A R_A^T=R_T R_T^T=4I`. At each owner use sixteen local owned scratch arrays +to form + +``` +F = R_T Z_T = ell_(0,T) x1_T, +G = R_A Z_A = ell_(0,A) x1_A. +``` + +Then execute in this order: + +``` +Z_U += R_U^T F/4, +F -= G + R_U Z_U, +clear Z_A; Z_A += R_A^T F/4, +clear Z_T; Z_T += R_T^T G/4, +clear all F,G scratch. +``` + +The updated Z_U is used in the second line. These equations are precisely +PR2511's credited F0 inverse; the last two selected banks can be overwritten +because F and G already hold the needed old queries. Every operand remains in +F_U1, so no extra native children or owner maps are required here. The complete +owner body finishes before moving to another owner. The exit Z contains the +entire original x in F_U1. + +For ordinary ports, source conservation gives original `y_U=-x2_U`. Clear W_U +and add -X_U. For selected ports, normalize current borrowed Y by C_q, clear W, +add current X and normalized Y, restore Y, then subtract Z. The conserved +selected sums give + +``` +W_V = x2_V+y2_V-x_V = y_V. +``` + +W itself is the eventual Y output; no separate sixteen-array selected-sum bank +is allocated. Finally clear the owned early R banks. All 224 current borrowed +fields restore physically and logically, the sixteen early banks are retired, +and every local scratch is zero in identity frame at its owner-body boundary. + +## 4. Exact local invoice and native lowering + +Each signed line C_q or C_q^-1 uses one positive rank-one child and two monomial +wrappers, with `C_q^-1=T_q C_q`. A coordinate permutation sends canonical axes +0,...,7 to E1, so positive F_E1 uses one rank-eight child and two wrappers. +These are the same explicit local child recipes as PR2512. The checker compares +114,688 signed rank-one basis columns over all 112 ports and the inherited +65,536-coefficient rank-eight kernel check, with exact Gaussian integers. + +| Added charge, including capture and retirement | Count | +|---|---:| +| Positive rank-one children | 224 | +| Positive rank-eight children | 16 | +| Native rank mass | 352 | +| Native monomial wrappers | 480 | +| Full-cover maps | 208 | +| Unit ADDs | 856 | +| Quarter ADDs | 832 | +| CLEARs | 320 | +| Real scalar primitive allowance | 17,472 | +| Owned full-cover final outputs | 224 | +| Additional owned early full-cover banks | 16 | +| Peak local owned scratch arrays | 16 | +| Current borrowed fields restored | 224 | + +The scalar source prices unit ADD at 8, quarter ADD at 12, and CLEAR at 2: +`856*8+832*12+320*2=17472`. The capture portion contributes sixteen unit ADDs +and sixteen CLEARs (160); retirement contributes sixteen CLEARs (32). Both are +included. Rank-one normalization is performed on each current Y field twice; +there are no hidden inverse rank-eight calls. All 208 maps are charged actual +cover operations, with their physical stream cost still unresolved. + +The native operator word is checked on 240 independent temporal source symbols +and arbitrary owned-output dirt. Its 224 outputs match the authenticated PR2511 +decoder's full routed operators. That retained decoder also passes both inverse +orders on the actual 224 original input arrays and on its 224-coordinate +compressed observation space. Reuse is credited; this is not an independent +second proof of PR2511's operator machinery. Twelve semantic faults, including +capture timing, early-record retirement, phase shifts, F0 inverse sign and +source restoration, must fail. Export tests add ownership chronology and source +authentication failures. + +This fills the complete added local decoder/lifetime contract. It does not +price F0/B1 as free, remove their inherited helper/private requirements, restore +original input physical frames, prove a net storage saving, or supply a consumer +for the 224 current-frame outputs. Physical retention, movement, native hosting, +precision, global controller use and all-size admission remain open. No minimum +child count, favorable completed moment or new kappa is claimed. diff --git a/research/qq16-entry-frame-tariff/test_verify.py b/research/qq16-entry-frame-tariff/test_verify.py new file mode 100644 index 0000000000..ee37a8e506 --- /dev/null +++ b/research/qq16-entry-frame-tariff/test_verify.py @@ -0,0 +1,136 @@ +"""Public artifact checks and a separate exact physical convolution control.""" + +import json +from pathlib import Path +import py_compile +import shutil +import subprocess +import sys +import tempfile +import unittest + + +HERE = Path(__file__).resolve().parent +REPO = HERE.parents[1] +PASS = ("PASS_QQ16_ENTRY_FRAME_TARIFF ports=112 entry_mass=3696 F0_mass=1904 " + "decoder_plus_entry_mass=4048 controls=6 no_new_kappa\n") + + +def multiply(left, right): + a, b = left + c, d = right + return a * c - b * d, a * d + b * c + + +def gaussian_power(value, exponent): + result = (1, 0) + for _ in range(exponent): + result = multiply(result, value) + return result + + +def run(package, repo, *args): + return subprocess.run( + [sys.executable, "-I", "-B", "-W", "error", str(package / "verify.py"), + "--repo", str(repo), *args], capture_output=True, text=True, timeout=20, + check=False, + ) + + +class ArtifactTests(unittest.TestCase): + def test_read_only_replay(self): + before = {str(p.relative_to(HERE)): p.read_bytes() + for p in HERE.rglob("*") if p.is_file()} + result = run(HERE, REPO) + self.assertEqual(result.returncode, 0, result.stderr) + self.assertEqual(result.stdout, PASS) + after = {str(p.relative_to(HERE)): p.read_bytes() + for p in HERE.rglob("*") if p.is_file()} + self.assertEqual(after, before) + + def test_write_refuses_overwrite(self): + before = (HERE / "RESULT.json").read_bytes() + result = run(HERE, REPO, "--write") + self.assertNotEqual(result.returncode, 0) + self.assertIn("FileExistsError", result.stderr) + self.assertEqual((HERE / "RESULT.json").read_bytes(), before) + + def test_source_and_result_corruption(self): + cases = (("RESULT.json", "committed result differs"), + ("sources/PR2540-PROOF.md", "decoder source pin")) + for filename, message in cases: + with self.subTest(filename=filename), tempfile.TemporaryDirectory() as tmp: + package = Path(tmp) / "package" + shutil.copytree(HERE, package) + target = package / filename + if filename == "RESULT.json": + result = json.loads(target.read_text()) + result["adapters"][0]["translation_after"] ^= 1 + target.write_text(json.dumps(result)) + else: + target.write_bytes(target.read_bytes() + b"\nchanged\n") + result = run(package, REPO) + self.assertNotEqual(result.returncode, 0) + self.assertIn(message, result.stderr) + + def test_live_source_corruption(self): + with tempfile.TemporaryDirectory() as tmp: + repo = Path(tmp) + target = repo / "research/joint-query/evidence/BRIDGE-REVIEW.md" + target.parent.mkdir(parents=True) + target.write_text("changed entry contract") + result = run(HERE, repo) + self.assertNotEqual(result.returncode, 0) + self.assertIn("live source pin", result.stderr) + + def test_relocated_without_git_and_diagnostics(self): + with tempfile.TemporaryDirectory() as tmp: + repo = Path(tmp) + package = repo / "research/qq16-entry-frame-tariff" + shutil.copytree(HERE, package) + pins = json.loads((HERE / "SOURCES.json").read_text()) + for row in pins["files"]: + if row["usage"] == "input": + target = repo / row["path"] + target.parent.mkdir(parents=True, exist_ok=True) + shutil.copyfile(REPO / row["path"], target) + result = run(package, repo) + self.assertEqual(result.returncode, 0, result.stderr) + self.assertEqual(result.stdout, PASS) + for filename in ("verify.py", "test_verify.py"): + compiled = py_compile.compile( + str(package / filename), cfile=str(repo / (filename + "c")), + doraise=True, + ) + self.assertTrue(Path(compiled).is_file()) + + def test_full_first_port_physical_kernel(self): + # Compare every coefficient of C_11 F_U1^-1 to the generated native + # adapter. Denominators are 2^18 and 2^16 respectively. This does not + # import the phase checker or use its 154 determining characters. + result = json.loads((HERE / "RESULT.json").read_text()) + word = next(row for row in result["adapters"] + if row["port"] == 0 and row["boundary_field"] == "entry_X") + axes = word["positive_child_axes"] + inverse = [multiply(gaussian_power((1, -1), 17 - w), + gaussian_power((1, 1), w)) for w in range(18)] + positive = [multiply(gaussian_power((1, 1), 16 - w), + gaussian_power((1, -1), w)) for w in range(17)] + nonzero = 0 + for address in range(2**17): + left = multiply((1, 1), inverse[address.bit_count()]) + right = multiply((1, -1), inverse[(address ^ 11).bit_count()]) + expected = (left[0] + right[0], left[1] + right[1]) + shifted = address ^ word["translation_after"] + actual = (0, 0) + if (shifted & 11).bit_count() % 2 == 0: + weight = sum((shifted & axis).bit_count() % 2 for axis in axes) + coefficient = positive[weight] + actual = (4 * coefficient[0], 4 * coefficient[1]) + nonzero += 1 + self.assertEqual(actual, expected, f"address {address}") + self.assertEqual(nonzero, 65536) + + +if __name__ == "__main__": + unittest.main() diff --git a/research/qq16-entry-frame-tariff/verify.py b/research/qq16-entry-frame-tariff/verify.py new file mode 100644 index 0000000000..320f754a95 --- /dev/null +++ b/research/qq16-entry-frame-tariff/verify.py @@ -0,0 +1,275 @@ +#!/usr/bin/env python3 +"""Exact, per-field terminal frame tariffs. Standard library; no source imports.""" + +import argparse +from collections import Counter +from hashlib import sha256 +from io import BytesIO +import json +from pathlib import Path +import re +import tarfile + + +HERE = Path(__file__).resolve().parent +DIM = 17 +PORTS = 112 +MEMBER = "t16/global/base/work/complex-nine-native/DATA-PHASES.json" +MEMBER_SHA256 = "c5916ff312678f12aba403847643fbbc29f643acec60bdf836fa56cd3e8251fa" +ARCHIVE = "research/community-frontier1042-audit/selected-replay.tar.gz" +INPUTS = (ARCHIVE, "research/joint-query/evidence/BRIDGE-REVIEW.md", + "research/joint-query/evidence/CONSERVED-QQ16.md") +COORDINATES = tuple(1 << i for i in range(DIM)) +EXTERNAL = COORDINATES[9:] +POINTS = (0,) + COORDINATES + tuple( + COORDINATES[i] ^ COORDINATES[j] + for i in range(DIM) for j in range(i + 1, DIM) +) + + +def require(condition, message): + if not condition: + raise ValueError(message) + + +def read_bounded(path, limit): + with path.open("rb") as stream: + raw = stream.read(limit + 1) + require(len(raw) <= limit, "input size limit: " + str(path)) + return raw + + +def source_data(repo): + """Authenticate before interpreting the bounded archive and endpoint proof.""" + pins = json.loads(read_bounded(HERE / "SOURCES.json", 16384)) + require(len(pins["files"]) <= 8, "source metadata size") + live = [row for row in pins["files"] if row["usage"] == "input"] + require(sorted(row["path"] for row in live) == sorted(INPUTS), "live source set") + for row in live: + if row["path"] != ARCHIVE: + raw = read_bounded(repo / row["path"], 2**20) + require(sha256(raw).hexdigest() == row["sha256"], "live source pin") + archive_pin = next(row for row in pins["files"] if row["path"] == ARCHIVE) + raw = read_bounded(repo / ARCHIVE, 20 * 1024 * 1024) + require(sha256(raw).hexdigest() == archive_pin["sha256"], "archive pin") + with tarfile.open(fileobj=BytesIO(raw), mode="r:gz") as archive: + member = archive.getmember(MEMBER) + require(member.isfile() and member.size < 2**20, "chart member size/type") + stream = archive.extractfile(member) + require(stream is not None, "chart member missing") + with stream: + charts_raw = stream.read(2**20) + require(sha256(charts_raw).hexdigest() == MEMBER_SHA256, "chart member pin") + predecessors = json.loads(read_bounded(HERE / "PREDECESSORS.json", 16384)) + require(predecessors["head"] == "630d557af5088f66b45c447969cee9576600e50b", + "decoder source head") + require(len(predecessors["files"]) == 1, "one retained source") + for row in predecessors["files"]: + require(row["local_path"] == "sources/PR2540-PROOF.md", "source path") + raw = read_bounded(HERE / row["local_path"], 2**20) + require(sha256(raw).hexdigest() == row["sha256"], "decoder source pin") + proof = raw.decode("utf-8") + require("original x_p,y_p in the common physical frame F_U1" in proof, + "decoder endpoint") + rows = re.findall(r"^\| ([^|]+) \| ([\d,]+) \|$", proof, re.MULTILINE) + invoice = {label: int(number.replace(",", "")) for label, number in rows} + charts = json.loads(charts_raw) + require(charts["m"] == 73 and charts["ports"] == PORTS, "source dimensions") + require(len(charts["recipes"]) == PORTS, "source recipe count") + return charts["recipes"], invoice + + +def parity(value): + return value.bit_count() % 2 + + +def xor_axes(axes): + result = 0 + for axis in axes: + result ^= axis + return result + + +def phase(terms, translation, point): + return (sum(sign * parity(axis & point) for axis, sign in terms) + + 2 * parity(translation & point)) % 4 + + +def polarization(terms): + """Rows of B with p(u+v)-p(u)-p(v) = 2 u^T B v, modulo four.""" + rows = [0] * DIM + for axis, sign in terms: + require(0 < axis < 2**DIM and sign in (-1, 1), "phase term") + for i in range(DIM): + if axis & (1 << i): + rows[i] ^= axis + return rows + + +def binary_rank(rows): + pivots = [0] * DIM + for row in rows: + require(0 <= row < 2**DIM, "binary row range") + for bit in range(DIM - 1, -1, -1): + if row & (1 << bit): + if pivots[bit]: + row ^= pivots[bit] + else: + pivots[bit] = row + break + return sum(bool(row) for row in pivots) + + +def check_adapter(target, axes, translation, rank): + require(1 <= len(axes) <= DIM and len(axes) == rank, "child rank invoice") + require(0 <= translation < 2**DIM, "translation range") + for i, axis in enumerate(axes): + require(0 < axis < 2**DIM, "axis range") + for j, other in enumerate(axes): + require(parity(axis & other) == int(i == j), "orthonormal child axes") + require(binary_rank(polarization(target)) == rank, "polarization rank bound") + positive = tuple((axis, 1) for axis in axes) + for point in POINTS: + require(phase(target, 0, point) == phase(positive, translation, point), + "exact phase mismatch") + return len(POINTS) + + +def port_adapters(recipe): + q = recipe["q"] + require(type(q) is int and 0 < q < 512 and parity(q), "odd local port label") + child = recipe["idle_children"][0] + axes = tuple(child["orthogonal_axes"]) + require(child["rank"] == 16 and len(axes) == 16, "source hole rank") + shift = child["translation_after"] + require(type(shift) is int and 0 <= shift < 512, "source hole translation") + # The source's positive hole frame is F_U1 C_q^-1. + hole = tuple((axis, 1) for axis in COORDINATES) + ((q, -1),) + check_adapter(hole, axes, shift, 16) + negative_full = tuple((axis, -1) for axis in COORDINATES) + negative_external = tuple((axis, -1) for axis in EXTERNAL) + return { + "entry_X": (((q, 1),) + negative_full, axes, + shift ^ xor_axes(axes)), + "entry_Y": (negative_full, COORDINATES, xor_axes(COORDINATES)), + "F0_X": (negative_external, EXTERNAL, xor_axes(EXTERNAL)), + "F0_Y": (((q, -1),) + negative_external, (q,) + EXTERNAL, + q ^ xor_axes(EXTERNAL)), + } + + +def wrapper_columns(axes, recipe): + """Extend the chosen axes to an explicit orthogonal 17-coordinate chart.""" + source_axes = tuple(recipe["idle_children"][0]["orthogonal_axes"]) + candidates = (recipe["q"],) + source_axes + columns = list(axes) + for candidate in candidates: + if all(parity(candidate & axis) == 0 for axis in axes): + columns.append(candidate) + require(len(columns) == DIM, "wrapper completion length") + for i, column in enumerate(columns): + for j, other in enumerate(columns): + require(parity(column & other) == int(i == j), "orthogonal wrapper") + return columns + + +def compute(recipes, invoice): + require(sorted(row["port"] for row in recipes) == list(range(PORTS)), + "complete, nonduplicated source ports") + histograms = {"entry": Counter(), "F0": Counter()} + words = [] + evaluations = 0 + for recipe in recipes: + adapters = port_adapters(recipe) + for name, (target, axes, translation) in adapters.items(): + rank = len(axes) + evaluations += check_adapter(target, axes, translation, rank) + histograms[name.split("_")[0]][rank] += 1 + words.append({"port": recipe["port"], "boundary_field": name, + "positive_child_axes": list(axes), "rank": rank, + "translation_after": translation, + "active_wrapper_columns": wrapper_columns(axes, recipe)}) + entry = histograms["entry"] + require(entry == {16: 112, 17: 112}, "entry profile") + require(histograms["F0"] == {8: 112, 9: 112}, "F0 profile") + require(invoice["Positive rank-one children"] == 224 + and invoice["Positive rank-eight children"] == 16 + and invoice["Native rank mass"] == 352, "source native invoice") + combined = entry + Counter({1: invoice["Positive rank-one children"], + 8: invoice["Positive rank-eight children"]}) + return { + "status": "PASS_QQ16_ENTRY_FRAME_TARIFF", + "model": "separate single-field convolution kernels and affine payload maps", + "ports": PORTS, "active_axes": DIM, "payload_dimension": 73, + "entry_adapter_histogram": dict(sorted(entry.items())), + "entry_adapter_rank_mass": sum(r * n for r, n in entry.items()), + "F0_adapter_histogram": dict(sorted(histograms["F0"].items())), + "F0_adapter_rank_mass": 1904, + "common_F_L_adapter_histogram": {8: 224}, + "common_F_L_adapter_rank_mass": 1792, + "decoder_plus_entry_histogram": dict(sorted(combined.items())), + "decoder_plus_entry_rank_mass": sum(r * n for r, n in combined.items()), + "adapter_phase_evaluations": evaluations, + "source_hole_phase_evaluations": PORTS * len(POINTS), + "adapters": words, + } + + +def controls(recipes): + """Faults whose rank can agree while the required native operator differs.""" + target, axes, shift = port_adapters(recipes[0])["entry_X"] + cases = ( + (target, axes, shift ^ 1, len(axes), "missing translation bit"), + (target, axes[:-1], shift, len(axes) - 1, "omitted child axis"), + (target, axes, shift, 15, "underpriced child"), + (target, axes[:-1] + (recipes[0]["q"],), shift, 16, + "equal-rank wrong subspace"), + (tuple((a, -s) for a, s in target), axes, shift, 16, "inverse sign"), + (target, axes[:-1] + (axes[0],), shift, 16, "duplicate axis"), + ) + rejected = [] + for target, axes, shift, rank, label in cases: + try: + check_adapter(target, axes, shift, rank) + except ValueError: + rejected.append(label) + else: + raise ValueError("negative control accepted: " + label) + # Translation is invisible to B, so rank alone cannot certify the endpoint. + require(polarization(((1, 1),)) == polarization(((1, -1),)), + "same-rank sign control") + require(phase(((1, 1),), 0, 1) != phase(((1, -1),), 0, 1), + "positive/negative phase distinction") + return rejected + + +def main(): + parser = argparse.ArgumentParser(description=__doc__) + parser.add_argument("--repo", type=Path, default=HERE.parents[1]) + parser.add_argument("--write", action="store_true", help="write new RESULT.json only") + args = parser.parse_args() + recipes, invoice = source_data(args.repo) + result = compute(recipes, invoice) + result["rejected_controls"] = controls(recipes) + result_path = HERE / "RESULT.json" + if args.write: + with result_path.open("x", encoding="utf-8") as stream: + stream.write(format_result(result)) + else: + expected = json.loads(read_bounded(result_path, 2**20)) + require(json.loads(json.dumps(result)) == expected, "committed result differs") + print("PASS_QQ16_ENTRY_FRAME_TARIFF ports=112 entry_mass=3696 F0_mass=1904 " + "decoder_plus_entry_mass=4048 controls=6 no_new_kappa") + + +def format_result(result): + """Keep each literal adapter on one line for a reviewable generated diff.""" + summary = {key: value for key, value in result.items() if key != "adapters"} + header = json.dumps(summary, indent=2, sort_keys=True)[:-2] + words = ",\n".join(" " + json.dumps(word, sort_keys=True) + for word in result["adapters"]) + return header + ',\n "adapters": [\n' + words + "\n ]\n}\n" + + +if __name__ == "__main__": + main()