diff --git a/.github/workflows/complex-module-anneal.yml b/.github/workflows/complex-module-anneal.yml new file mode 100644 index 0000000000..44be57dd77 --- /dev/null +++ b/.github/workflows/complex-module-anneal.yml @@ -0,0 +1,30 @@ +name: complex-module-anneal + +on: + pull_request: + paths: + - 'research/complex-module-anneal/**' + - '.github/workflows/complex-module-anneal.yml' + push: + paths: + - 'research/complex-module-anneal/**' + - '.github/workflows/complex-module-anneal.yml' + +jobs: + verify: + runs-on: ubuntu-latest + timeout-minutes: 75 + strategy: + matrix: + python-version: ['3.11', '3.13'] + steps: + - uses: actions/checkout@v4 + - uses: actions/setup-python@v5 + with: + python-version: ${{ matrix.python-version }} + - name: Install the regeneration dependencies of the pinned pipeline + run: python -m pip install numpy==2.3.5 scipy==1.17.0 + - name: Regenerate the words, check the frozen layers and pairs, run flow, lift and contract, emit the gcert/1 programs, write the star scatter, run gx.check1 and gxcore, price the five-stage words, compare with the committed certificates + run: python3 -B research/complex-module-anneal/verify.py + - name: Require an unchanged tree + run: git diff --exit-code diff --git a/research/complex-module-anneal/NOTICE b/research/complex-module-anneal/NOTICE new file mode 100644 index 0000000000..a770422c6f --- /dev/null +++ b/research/complex-module-anneal/NOTICE @@ -0,0 +1,61 @@ +Prepared by DreamingOfClouds with Anthropic Claude assistance. Apache-2.0. +Inherited files retain their original notices and assistance disclosures. +This package claims no exclusive priority over concurrent work and reports +no new kappa. + +What this package contributes: the three re-annealed query modules of the +source-assisted complex word (modules/: pair module n = 10, all-but-one +module n = 9, disjoint-triple module p = 11, found by simulated annealing +from PR168 v4's modules against the exact compile ledger of the aligned +word), one frozen compilation recipe applied to them and, as the control, to +PR168 v4's own modules (layers/), aligned_word.py (PR194's source-aligned +word with the module files and a frozen physical layer as inputs), +paircheck.py (an independent re-check of the reuse pairs with five mutation +controls), normalize_scatter.py (the star scatter by re-signing the +registers of retained totals with unit -1), the discovery driver +discovery/make_layer.py, and the four resulting programs with their checks. +Everything else is retained and credited: + +- icekylinx (OpenAI GPT-6 Astra and Codex assistance): PR144 paired cubes + and signed decoder (the K blocks and the star scatter of every program), + PR184 source-assisted construction: source-parity local factorization, + frame flow, exact lifts, contract (complex_frame_flow.py, + exact_complex_flow_lift.py, and source_aligned_local.py, from which + aligned_word.py derives through PR194). +- Avi Eisenberg (ikeboy): PR191/193/194, the rebuild of PR184's + construction on the PR168 v4 modules (source_aligned_local_v4.py, whose + code aligned_word.py keeps, contract_v4.py run here), the + parity-erasure-avoiding pairing of PR193 (the "parity" pair recipe) and + PR194's frozen pairs of the anchor. +- chafreaky / Chafik Boukhalfa (Anthropic Claude and OpenAI Codex + assistance): PR200 operation-frame descent (the frames of every layer), + maximum-weight late compensated reuse pairing (the "mw" pair recipe) and + the complete complex checker complex/physical.py (run here to admit every + layer); PR233 layer and package (vendored in references/pr233-layer/, its + discovery harness vendored in discovery/pr233/); PR256 gcert emitter + (gcert_emit.py, vendored unchanged) and the package whose structure and + checks this one mirrors; PR225 exact moment bounds (scripts/moment.py). +- Jacob Sussman (Anthropic Claude assistance): the certificate format + gcert/1, the reference checker gx.py and the Python mirror of the two + Lean checks gxcore.py (both vendored unchanged in gx/, Apache-2.0, + Copyright 2026 Jacob Sussman, jacobalansussman/wht-power-saving-lean at + f010392c), the bridged five-stage layout (Lean-checked in his repository) + in which the programs are priced, the unit convention of gxconv.py reused + by gcert_emit.py for scalings (and by normalize_scatter.py), and the + published certificate of #193 whose histogram anchors the chain + (references/sussman/). +- eumemic (Anthropic Claude and OpenAI Codex assistance): PR168 annealed + modules (the control's modules and the starting points of the annealing), + schedules and physical frames; PR117/155/157/161 module infrastructure, + physical frames and reuse; the exact-DFT arena (scripts/moment.py adapts + eumemic/exact-dft-bounds, Apache-2.0). +- DaysSky: PR162 extended carrier closure (compile_closure, and the greedy + extension in discovery/extend_floor.py). +- hcg890 (PR234), SovereignSteak (PR250: the five-stage ledger statement + used for the price), rohanarun (PR209/237). +- PR202 baseline lineage as credited in references/pr233-layer/NOTICE: + jamesyc / James Chang, DaysSky, GamingPuzzled, gupt1156, Abhinav + Ramachandran/geckods, jacklightChen / Zhihao Chen, Rohan Arun, an664, + Swapnil Jain, hpst3r, Aurel Prosz, dleen, Douglas Colkitt. +- OpenAI: the original complex phase network of "Integer multiplication + below n log n". diff --git a/research/complex-module-anneal/PROOF.md b/research/complex-module-anneal/PROOF.md new file mode 100644 index 0000000000..e9a00a1c07 --- /dev/null +++ b/research/complex-module-anneal/PROOF.md @@ -0,0 +1,147 @@ +# Re-annealed complex modules: a stronger complex supplier as explicit numbered programs + +**Claim.** Replace the three query modules of the source-assisted complex word of PR #184/#194 (PR #168 v4's pair +module, n = 10; all-but-one module, n = 9; disjoint-triple module, p = 11) by the re-annealed modules of `modules/`, +and compile the word with the frozen layer of `layers/cmod/` (carrier arcs, PR #200's descended operation frames, +PR #233's maximum-weight reuse pairs, no kernel reuse). The result is one explicit program in Jacob Sussman's +certificate format gcert/1, 11,800 numbered registers (1,320 sources x, 1,320 targets y, 9,160 slots) with the star +scatter, accepted by his reference checker `gx.check1` and by his Python mirror of the two Lean checks `gxcore.py` +(jacobalansussman/wht-power-saving-lean, `tools/gx/`, commit `f010392c`; both vendored unchanged in `gx/`). In the +bridged five-stage word of that repository (m = 5h = 110, W = 4v + R = 14,440) it is certified at saving +a = 7635/10⁷ with exact rational bounds (7636/10⁷ rejected), against 7547/10⁷ for PR #233's word (PR #256). With PR +#193's parity-avoiding pairs instead: 7586/10⁷. The same recipe on PR #168 v4's own modules (`layers/pr168-v4/`, the +control) gives 7522/10⁷ and 7469/10⁷. No new κ by itself: on the frontier of PR #299 the bit supplier (7.50462e-4) +lies below PR #233's complex price and below both re-annealed prices, so the bit side still binds; the complex cap +rises from 7.547e-4 to 7.635e-4. + +## 1. Inputs + +- **Modules** (`modules/`). Three JSON files in the formats of PR #168's sources, read by the rebuilt tree's own + loaders, which check the module contracts: in the pair module every root sums exactly the inputs disjoint from its + pair, in the all-but-one module every root sums all inputs but one, in the triple module every root J sums the + inputs I disjoint from J, and every addition joins disjoint supports. They were found by simulated annealing from + PR #168 v4's modules against the exact compile ledger of the aligned word; the search is not part of the proof. +- **Frozen layer** (`layers//`): `matching-arcs.json` (carrier arcs), `physical-frames.json` (the operations + whose frame differs from the closure frame, in the canonical form of `source_aligned_local_v4.py`), + `physical-pairs-{parity,mw}.json` (reuse pairs [donor, recipient, deadline] of the two recipes), + `kernel-pairs-{parity,mw}.json` (empty: the flow reuses no kernel on any of the four words). `discovery/make_layer.py` + is how they were found; `verify.py` only checks them. +- **The word builder** (`aligned_word.py`). It is `source_aligned_local_v4.py` of PR #202 (Avi Eisenberg, PR + #193/#194) with its four discovery steps replaced by inputs: the module files (hard-coded there), the arcs (mapped + there from PR #168's matching), the preferred frames (inherited there from PR #168's layer) and the pairs (its own + `--pairs` option). The local configuration, `Graph.finish`, the merge f8:00111100, `compile_closure`, `select`, the + phase-one prefix, the forward closure with its future-cap clipping and local-pair checks, gauge filtering, the + target histogram, `paired_cube_physical.physical()` and the encoding of the seven output files are the script's. + +## 2. Chain of checks (each of the four words) + +1. **Module contracts**: `triple_module_from`, `pair_module_from`, `all_but_one_from` of the rebuilt tree. +2. **Arcs**: `compile_closure` (PR #162, DaysSky) accepts the frozen arcs (one donor per use, a donor carries one of + its own operands, acyclic generalized dependency graph, every value span inside its backward-intersection frame, + exact positive-rank ledger with mass h·R + loss) and keeps them unchanged; `select` chooses the gauges. +3. **Frames**: the script's forward closure, run with every frozen frame as the preferred frame, returns every frozen + frame unchanged: each contains its value span and both predecessor frames, lies inside its exact future cap, + every local operation has its minimal frame, every local pair its span, every root role ends inside its root + frame. The frozen list is the script's canonical list of moved frames. +4. **Pairs**: every pair is an edge of the script's candidate graph (donor ungauged and not a root, its last frame + inside the recipient's gauge frame, its last operation before the recipient's first, deadline as the script + assigns it), one pair per donor and per recipient, and the list is a fixed point of the script's last-late-control + reordering. `paircheck.py` then re-checks the pairs from the written word alone (kinds, one-to-one, every gauge + paired, early and late chronology, donor frame inside the gauge, no pair erasable by PR #184's source-donor + purification) and rejects five mutations, each for the condition it breaks: a late recipient given an unused + donor still alive at its read; an unused donor with legal timing whose last frame lies outside the gauge (rejected + for frame containment alone); a duplicated pair; an unpaired gauge; an unused donor with legal timing whose last + frame is parity-erasable (rejected for erasability alone). +5. **Physical checks** (`scripts/paired_cube_physical.py`, eumemic; PR #124/#131/#143 lineage): nested role chains, + pair legality and read chronology, the exact spliced recount, and a randomized numeric replay of the aliased + signed word mod 2⁶¹ − 1 with random dirty scratch, for two seeds; omitting a read, reading early and flipping a + coefficient are rejected. `verify.py` recomputes this profile in-process for the admission and requires it to + equal the file. (The exact identity of the whole program is step 9's E5.) +6. **Admission** (PR #200's complete complex checker `complex/physical.py`, Chafik Boukhalfa, as PR #233 admits its + layer): all descended frames, nested chains, aliases and target read chronology, the exact adjoint with a + formal coefficient bound, every formal source, target and dirty column under both shear signs; the early-read and + missing-read mutations are rejected. +7. **Flow and exact lift** (PR #184, icekylinx): `complex_frame_flow.py --witness --purify-source-donors + --recycle-kernels` with the frozen kernel pairs, then `exact_complex_flow_lift.py`: exact rational local + invertible completions at every node, monotone flow, zero-fresh kernel reuse DAG, dyadic coefficients. +8. **Contract** (PR #194's `contract_v4.py`, as PR #233 runs it): fresh columns equal the identity, centres in phase + one, target cap reads in phase two, nested target chains, source controls before the original K, the integer + histogram recount. +9. **Program** (PR #256's `gcert_emit.py`, unchanged) and **reference check** (`gx.check1`): E0/E1 labels (every + register's frames are nested reduced-echelon subspaces of F₂^h, every gate at one frame), E2 the scatter cut + (retained totals at their frames, targets untouched; in star form also exactly h = 22 totals, which in table form + only the emitter's own assertion checks), E3/E4 gate shapes, E5 the exact scalar identity (every target receives + exactly its source, every source is restored), E6 the price data N = R·h + 2v(h − 1) + cst. +10. **Ledger**: 3(x + y + s + c) + 2v·e₂ of the program's block histogram equals the flow's child histogram. +11. **Star scatter** (`normalize_scatter.py`): where the emitter wrote a scatter table, every column must be the star + column times one unit ±1; the registers of the totals with unit −1 are re-signed over the whole program (every + coefficient on an edge with exactly one endpoint in such a register changes sign) and the star rule is written. + The result must differ from the emitted program only in coefficient signs, the scatter and the name; `gx.check1` + accepts it again (same denominators, coefficient bounds and frame steps) and Sussman's `gxcore.py` mirror of the + two Lean checks accepts it with the same block histogram. This is the committed program. +12. **Price**: in Sussman's bridged five-stage word the ledger is H₅ = 5·H_inv + 2v(e₄₂ + e₂₁ + e₄₆ + e₄) per cover + vertex (PR #250's statement for PR #234/#209's layout), m = 110, W = 4v + R. The moment Σ n_r (r/m)^{1−a} is + below W at the claimed a and not at a + 10⁻⁷, with the exact upper bounds of `scripts/moment.py` (PR #225). +13. **Reproduction**: the four programs equal the committed `certificates/` byte for byte (uncompressed JSON), and + every number above equals `certificate/expected.json`. + +## 3. Anchors + +- `aligned_word.py`, given PR #168 v4's modules and the source-aligned word's own arcs, frames and pairs, reproduces + the seven output files of `source_aligned_local_v4.py` (four cache files, physical frames and pairs, the sinks + certificate) byte for byte. The builder is the upstream script wherever the upstream script decides. +- PR #194's word (the aligned word's arcs and frames, PR #194's frozen pairs and kernel pairs) run through this + package's chain gives PR #256's certificate of that word (same sha256 of the canonical JSON) and the block + histogram of Sussman's published certificate of #193 in every class and rank (N = 262,944). The flow, lift, + emitter and checker used for the new words are therefore the ones whose output on PR #194's word matches, class + by class, his independent rebuild of #193. +- The control has no external histogram of its own: no other package compiles PR #168 v4's modules with this + recipe. It passes the same chain as the result and serves as the like-for-like baseline. On PR #168's modules the + recipe is weaker than PR #168's inherited layer (7469 vs 7474.547 per 10⁷ with PR #193's pairs, 7522 vs 7547 with + PR #233's: −0.07% and −0.33%), so the gain of the modules is measured against the control. + +## 4. Results + +| word | R | registers | frames | gates | blocks | N | five-stage W | certified a | rejected | +|---|---|---|---|---|---|---|---|---|---| +| control, parity pairs | 9,412 | 12,052 | 18,338 | 51,221 | 70,295 | 262,944 | 14,692 | 7469/10⁷ | 7470/10⁷ | +| control, mw pairs | 9,412 | 12,052 | 18,338 | 52,587 | 69,827 | 262,944 | 14,692 | 7522/10⁷ | 7523/10⁷ | +| re-annealed, parity pairs | 9,160 | 11,800 | 18,018 | 50,859 | 69,384 | 257,400 | 14,440 | 7586/10⁷ | 7587/10⁷ | +| re-annealed, mw pairs | 9,160 | 11,800 | 18,018 | 51,909 | 68,942 | 257,400 | 14,440 | 7635/10⁷ | 7636/10⁷ | + +Every program has scalar denominators 2 (x, slots) and 6 (y) and cst = 440; no kernel is reused and no source +control is erased in any of the four flows. The control programs come out of the emitter with the star rule (1/3 +inside, −1/6 outside), as PR #256's do, and are committed as emitted. In the two re-annealed programs a scaling by −1 +in the exact lift's completion leaves the retained totals of coordinates 20 and 21 in registers 5778 and 6318 with +unit −1 (`gcert_emit.py` keeps units as in Sussman's `gxconv.py`), so the emitter writes the scatter as a table. +Step 11 re-signs those two registers (50 coefficients) and writes the star rule, the only form that the five-stage +packages' complex code reads (`complex_labels.py` and its neighbours); both forms pass `gx.check1`. + +Gains of the modules on the certified grid points: +1.57% (parity pairs, 117/7469) and +1.50% (mw pairs, 113/7522; ++1.51% on the numerical roots 7.63588e-4 and 7.52265e-4); against PR #233's word in the same layout (7547/10⁷): ++1.17% (88/7547); against the circuit of #193 (7474547/10¹⁰): +2.15%. The exact moment bounds and margins are in +`certificate/expected.json`. + +## 5. What is not claimed + +- **No Lean build.** The programs are checked by Sussman's Python reference checker `gx.check1` and his Python + mirror of the Lean checks `gxcore.py`, not by the Lean kernel. His repository checks the program of #193 in Lean; + the same generators should apply to these files, but no kernel build is part of this package, and `refcheck.py` + and `gxdry.py` were not run on them. +- **Scatter normalization.** The committed re-annealed programs are the emitted ones with two registers re-signed + (step 11). The re-signing is checked, not trusted: both the emitted and the committed program pass `gx.check1`, + the committed one also `gxcore.py`, and the price reads only the block histogram, which does not change. +- **The five-stage layout at R ≠ 9,412.** The ledger formula H₅ = 5·H_inv + 2v(e₄₂ + e₂₁ + e₄₆ + e₄) with + W = 4v + R was stated for the bridged layout of the word of #193 (R = 9,412). Here it is applied to words with R = + 9,160, as the bit-side packages apply their layout at several R values: in the formula the bridge terms do not + involve R, and R enters only through W and the invocation ledger. That the bridged layout holds verbatim at this R + is left to the five-stage authors to confirm. +- **No new κ by itself.** On the current frontier, PR #299 (chafreaky; cited, not checked here: κ = + 7.49899215319498e-4), the bit supplier (coarse) is 7.50462e-4, 0.57% below the complex price of PR #233's word + (7.54736e-4) and below both re-annealed prices (7586/10⁷ and 7635/10⁷). This package raises the complex cap from + 7.547e-4 to 7.635e-4 (+1.17%). +- **Discovery is numerical.** Floating-point scores chose the modules, the frames and the pairs; none of them is + trusted: every choice is a frozen input that the chain above checks exactly. +- **Not packaged.** A centre-sharing variant, in which the pair module also supplies the star centre as a 46th root + (about +2.7% over the same-recipe control on the numerical five-stage root, exploratory), needs a change to + `Graph.finish` in PR #202's tree; it is left as a follow-up. diff --git a/research/complex-module-anneal/README.md b/research/complex-module-anneal/README.md new file mode 100644 index 0000000000..6fa534f77b --- /dev/null +++ b/research/complex-module-anneal/README.md @@ -0,0 +1,91 @@ +# complex-module-anneal + +**A stronger complex supplier from re-annealed complex modules (no new κ).** The source-assisted complex word of PR +#184/#194 calls three query modules: PR #168 v4's pair module (n = 10), all-but-one module (n = 9) and +disjoint-triple module (p = 11). This package replaces the three module files by re-annealed ones, annealed against +the exact compile ledger of the aligned word, and compiles the word with one frozen recipe. With PR #233's +maximum-weight reuse pairs the word is one explicit gcert/1 program of 11,800 numbered registers (R = 9,160 slots +instead of 9,412) that Jacob Sussman's reference checker `gx.check1` and his Python mirror of the two Lean checks +(`gxcore.py`, both vendored unchanged) accept. Priced in his bridged five-stage layout (Lean-checked there for his +certificate of #193; these programs are checked by the two Python checkers and exact rational bounds, with no Lean +build) it is certified at + +**a = 7635/10⁷ (7636/10⁷ rejected), against 7547/10⁷ for PR #233's word (PR #256): +1.17%.** + +The same recipe applied to PR #168 v4's own modules is the control: 7522/10⁷, so the modules alone add +1.50% on the +certified grid points (+1.51% on the numerical roots), apples to apples. With PR #193's parity-avoiding pairs the +result is 7586/10⁷ against a control of 7469/10⁷ (+1.57%). **No new κ by itself:** on the current frontier (PR +#299, chafreaky: κ = 7.49899215319498e-4) the bit supplier (coarse, 7.50462e-4) is 0.57% below the complex price of +PR #233's word (7.54736e-4) and below both re-annealed prices (7586/10⁷ and 7635/10⁷), so this package raises the +complex cap from 7.547e-4 to 7.635e-4 (+1.17%). The five-stage ledger formula is applied at R = 9,160, as the bit +packages apply their layout at several R; confirmation is left to the layout's authors. [PROOF.md](PROOF.md) states +the claim and the chain of checks. + +| program (gcert/1, five-stage layout m = 110, W = 4v + R) | modules | pairs | R | blocks | N | gx.check1 and gxcore | saving a | +|---|---|---|---|---|---|---|---| +| PR #194 word (anchor = PR #256's certificate, Sussman's #193 histogram) | PR #168 v4 | PR #193's | 9,412 | 70,169 | 262,944 | accepted | 7474547/10¹⁰ (Sussman, Lean; not repriced here) | +| control, parity recipe | PR #168 v4 | PR #193 recipe | 9,412 | 70,295 | 262,944 | accepted | 7469/10⁷ | +| control, mw recipe | PR #168 v4 | PR #233 recipe | 9,412 | 69,827 | 262,944 | accepted | 7522/10⁷ | +| **result, parity recipe** | **re-annealed** | PR #193 recipe | **9,160** | 69,384 | 257,400 | accepted | **7586/10⁷** | +| **result, mw recipe** | **re-annealed** | PR #233 recipe | **9,160** | 68,942 | 257,400 | accepted | **7635/10⁷** | + +The recipe (fresh carrier arcs, PR #200's descended operation frames) is slightly weaker than PR #168's inherited +physical layer on PR #168's own modules (7469 vs 7474.5 and 7522 vs 7547 per 10⁷: −0.07% and −0.33%), which is why +the control, not the official numbers, measures the modules. The re-annealed modules are not uniformly smaller: the +all-but-one module is (29 additions against 31), but the total is larger (2,462 against 2,353; pair module 366 vs +356, triple module 2,067 vs 1,966). They are cheaper to compile: the frame flow keeps 252 fewer slots. + +## Verify + + python -m pip install numpy==2.3.5 scipy==1.17.0 # for the pinned regeneration and the checkers + python3 -B research/complex-module-anneal/verify.py # about 12 minutes; -O is refused + +The script checks every pin of `SOURCE.json`, rebuilds the 308 pinned files of PR #202 from the vendored PR #233 +package and regenerates the producer word and the source-aligned word (PR #194's pipeline). Two anchors follow: +`aligned_word.py` reproduces the seven output files of `source_aligned_local_v4.py` byte for byte, and PR #194's word +run through this package's chain is PR #256's certificate (same sha256) with Sussman's #193 histogram. Then, for each +module set and pair recipe, it installs the modules and the frozen layer, re-checks the pairs with `paircheck.py` +(five mutation controls), admits the layer with PR #200's complete complex checker, runs PR #184's flow and exact +lift and PR #194's contract, emits the gcert/1 program with PR #256's `gcert_emit.py` (unchanged), runs `gx.check1`, +checks the ledger, writes the scatter as the star rule with `normalize_scatter.py` and runs `gx.check1` and +`gxcore.py`'s mirror on that program, certifies the five-stage moment at the claim of `SOURCE.json` with the next +10⁻⁷ grid point rejected, and compares the four committed programs byte for byte (uncompressed JSON) with +`certificates/` and the run with `certificate/expected.json`. `--temp-root` chooses scratch storage. + +The emitter writes the two re-annealed programs with a scatter table: the exact lift leaves the retained totals of +coordinates 20 and 21 in registers whose unit is −1. `normalize_scatter.py` flips the sign convention of those two +registers over the whole program (50 coefficients change sign) and writes the star rule, which is what the five-stage +packages' complex code reads; registers, frames, gates, blocks and N are unchanged, and both forms pass `gx.check1`. +The control programs are already in star form and are committed as emitted. + +To check a certificate with Sussman's other tools (not run for this package): + + python3 -B tools/gx/refcheck.py /certificates/gcert1-p11-cmod-mw-flow.json.gz # in his repository + python3 -B tools/gx/gxdry.py /certificates/gcert1-p11-cmod-mw-flow.json.gz # mirror and price + +## Re-pinning after a module changes + + python3 -B research/complex-module-anneal/discovery/make_layer.py --set cmod --tmod # ~5 min + python3 -B research/complex-module-anneal/verify.py --write + python3 -B research/complex-module-anneal/verify.py + +`make_layer.py` (discovery, never run by `verify.py`) applies the same recipe to the new module set, copies a module +given from outside into `modules/`, writes `layers/cmod/` and records the set's module files in `SOURCE.json`. +Delete the superseded module file from `modules/` before `--write` (otherwise it stays pinned, harmless but +confusing). `--write` re-pins `modules/` and `layers/` (no other pin), sets every claim to the largest 10⁻⁷ grid +point its exact bounds certify, and rewrites `certificates/` and `certificate/expected.json`; the numbers in this file +and in PROOF.md are then updated by hand. + +## Files + +`verify.py`; `aligned_word.py` (PR #194's source-aligned word with the module files and a frozen layer as inputs); +`paircheck.py` (independent re-check of the reuse pairs, five mutation controls); `normalize_scatter.py` (the star +scatter by re-signing retained-total registers); `modules/` (the three re-annealed module files: +`pmod_cmod_dropin.json`, `qmod_cmod.json`, `tmod_cmod_v2.json`); `layers/pr168-v4/` and `layers/cmod/` (frozen carrier +arcs, operation frames, reuse pairs of both recipes, kernel pairs); +`certificates/gcert1-p11-{pr168-v4,cmod}-{parity,mw}-flow.json.gz` (the four committed programs, star form, about +0.5 MB each); `certificate/expected.json`; `gcert_emit.py`, `gx/gx.py`, `scripts/moment.py` and `references/` +vendored byte for byte from PR #256 (PR #233's package with the PR #202 baseline, Sussman's #193 histogram); +`gx/gxcore.py` (Sussman's `tools/gx/gxcore.py` at `f010392c`, unchanged); `discovery/` (how the layers were found; +not run by `verify.py`); `SOURCE.json`, `PROOF.md`, `NOTICE`. `.github/workflows/complex-module-anneal.yml` runs the +verifier on Python 3.11 and 3.13. diff --git a/research/complex-module-anneal/SOURCE.json b/research/complex-module-anneal/SOURCE.json new file mode 100644 index 0000000000..153b4632fb --- /dev/null +++ b/research/complex-module-anneal/SOURCE.json @@ -0,0 +1,109 @@ +{ + "description": "Pinned inputs of research/complex-module-anneal (sha256). Vendored byte for byte; nothing is fetched at run time. verify.py --write re-pins only the package's own inputs (modules/, layers/) and the claims; every other pin is fixed.", + "files": { + "gcert_emit.py": "10d2fc3f1f3d8cda5f0b07720f51b5a6fd40cfc1490d361939ff93e5470805d3", + "gx/gx.py": "6f3dc8bb639933227a8dae181ec4a542e85c7276be9c9e330f49518e7b630b95", + "gx/gxcore.py": "eb972c06fe8c322db2d9a8d9a7d05596e8f40c4ca8e5f42eb6df3c7361b5d517", + "layers/cmod/kernel-pairs-mw.json": "e47454fb1838c9372a403b5156bc195630ba6f0cfcaf71b92170f05f111a11cc", + "layers/cmod/kernel-pairs-parity.json": "e47454fb1838c9372a403b5156bc195630ba6f0cfcaf71b92170f05f111a11cc", + "layers/cmod/matching-arcs.json": "b1b099ff8856e7aec1b5b8cde3f33aa1fe3b8f1f598b20070b4199dd0dd22605", + "layers/cmod/physical-frames.json": "78afae709fe7e474bead9c0106d2a32de1d8b9695adc49182348c14da40aaf24", + "layers/cmod/physical-pairs-mw.json": "b128588bbb555a7b47e8dddd92997dc9aff970837b08f9718d961b17ee22ba75", + "layers/cmod/physical-pairs-parity.json": "610e72a757aecb55546a78f0c0470d69c1ec11c5dc337141d801d828fa4fdefd", + "layers/pr168-v4/kernel-pairs-mw.json": "e47454fb1838c9372a403b5156bc195630ba6f0cfcaf71b92170f05f111a11cc", + "layers/pr168-v4/kernel-pairs-parity.json": "e47454fb1838c9372a403b5156bc195630ba6f0cfcaf71b92170f05f111a11cc", + "layers/pr168-v4/matching-arcs.json": "7c2b7d131c242ffd70023e002b5b82ea9931834c6854ac005436d16512e39305", + "layers/pr168-v4/physical-frames.json": "9d0205ff60729c3aa0c5b38eb58a56ec8e9f00558af7ae0ffd375cf0c8e5218d", + "layers/pr168-v4/physical-pairs-mw.json": "dd5b94b1515eac81e3152c61a920325f16c13348cf447fa041d2b26e6892a8fb", + "layers/pr168-v4/physical-pairs-parity.json": "df4ee96244780e085c76d90264d68361a15cd6c9dbac58dfba30f20574a2aff3", + "modules/pmod_cmod_dropin.json": "3af10a7de3c119e1a695e39d78985ebc773865f5e23200217825fbb3a7fb7eed", + "modules/qmod_cmod.json": "532946aebe86129501bcdf781f2c07eebb3d76bf7c9362f3848dacb87774a09c", + "modules/tmod_cmod_v2.json": "3c27c6ec76a08cfd899b555c8e3e6d7dcff8921252e7e6df04136ff1e7a28dd4", + "references/pr233-layer/NOTICE": "5826b9f155b70d496d729cbaddeadb881abfb68da77f82dfc1746ddfc753313b", + "references/pr233-layer/SOURCE.json": "9ad0549ba2403e8d84d7c0c8e71e5ca952a0604ad626f403426164bd4bc2982c", + "references/pr233-layer/baseline-pr202.tar.gz": "5d08386f71c421d2b83b21020e3b74198e9d0c75884d7d81987307740d98883f", + "references/pr233-layer/certificate.json": "691cb0aaeb0d6b993e1e1e5116ae7a5c57af058a8c413249016347d1b40d3b90", + "references/pr233-layer/verify.py": "cd61a8c61462b4eee95c0858335a9a11bdf1ff8e8e63ebb1e488da29f061ca71", + "references/pr233-layer/witness/kernel-pairs.json": "e33b753fc4519170373207b0527b9cb53e0b552e2a27f48f72381a881c7a227f", + "references/pr233-layer/witness/physical-frames.json": "1a6c215cdc58216f7ec96fb898a471e25d094fd86de085f6c06e86fd8997bfad", + "references/pr233-layer/witness/physical-pairs.json": "e6409fffbf5f3b1ac6434acf2e426503de3a8a18537b8fee761fc4fc931fb896", + "references/sussman/pr193-blocks.json": "4049d066f71119fa72bbc37f7db753ce1e79ae5a69aef9cd2651d618bea5c855", + "scripts/moment.py": "0c7c68122cea18503e973ccf0d244adf8fa0edab95f104393528c6c57f24863a" + }, + "module_sets": { + "cmod": { + "pmod": "modules/pmod_cmod_dropin.json", + "qmod": "modules/qmod_cmod.json", + "tmod": "modules/tmod_cmod_v2.json" + }, + "pr168-v4": { + "pmod": "tree:references/paired-cube/sources/pmod_J0_full_6.0666810e-4.json", + "qmod": "tree:references/paired-cube/sources/qmod_climb3u_best.json", + "tmod": "tree:references/paired-cube/sources/tmod_TE_TD_TB3_1_1_4_full_6.0617964e-4.json" + } + }, + "claims": { + "cmod-mw": "7635/10^7", + "cmod-parity": "7586/10^7", + "pr168-v4-mw": "7522/10^7", + "pr168-v4-parity": "7469/10^7" + }, + "official": { + "pr193": [ + "the circuit of #193 in the five-stage layout: 7474547/10^10 (Jacob Sussman, Lean)", + "7474547/10000000000" + ], + "pr233": [ + "the PR #233 word in the five-stage layout: 7547/10^7 (PR #256, exact bounds)", + "7547/10000000" + ] + }, + "prerequisites": { + "pr202": { + "commit": "8d8d67bcf69c5ea67d3a29dbc64ba588156d6e8d", + "note": "the 308 files rebuilt by references/pr233-layer/verify.py: PR #184 flow/lift (icekylinx), PR #194 v4 scripts (ikeboy), PR #168 modules (eumemic), PR #200 checker (chafreaky)", + "repository": "CrocSwap/integer-mult-bounds" + }, + "pr225": { + "note": "scripts/moment.py: exact rational moment bounds (chafreaky; adapted from eumemic/exact-dft-bounds scripts/verify_moment.py, Apache-2.0)", + "path": "research/exact-dft-transfer/scripts/moment.py", + "pr": 225, + "repository": "CrocSwap/integer-mult-bounds" + }, + "pr233": { + "author": "chafreaky (Anthropic Claude and OpenAI Codex assistance); PR #202 baseline by ikeboy et al., see NOTICE", + "commit": "109a857", + "complex_saving": "3549537/5000000000", + "path": "research/source-assisted-v4-layer", + "pr": 233, + "repository": "CrocSwap/integer-mult-bounds", + "vendored": "references/pr233-layer (baseline-pr202.tar.gz, SOURCE.json, verify.py, certificate.json, NOTICE, witness/), as vendored by PR #256" + }, + "pr256": { + "author": "chafreaky (Anthropic Claude and OpenAI Codex assistance)", + "commit": "db3f75cdc5f03f3131d48fb220f6bf1958404ff3", + "path": "research/gcert-program-233", + "pr": 256, + "pr194_certificate_sha256": "27398a0cfcbe34e5ee97360e69a2d163a417c8ae1b4fdf28ccf89a9eaf4e4cd4", + "pr233_certificate_sha256": "0c026244591a0b6737993aaac5fa8ac4a2bd27aa28e469f2567c698f57ed10a8", + "pr233_five_stage": "7547/10^7", + "repository": "CrocSwap/integer-mult-bounds", + "vendored": "gcert_emit.py, gx/gx.py, scripts/moment.py, references/pr233-layer/, references/sussman/pr193-blocks.json (byte for byte; the certificate sha256 values are of the canonical uncompressed JSON, from its certificate/expected.json)" + }, + "pr299": { + "note": "current frontier as stated in PR #299 (chafreaky): bit supplier (coarse) 7.50462e-4, complex 7.54736e-4 (PR #233's word), kappa 7.49899215319498e-4; cited, not checked here", + "pr": 299, + "repository": "CrocSwap/integer-mult-bounds" + }, + "sussman": { + "commit": "f010392c", + "files": { + "tools/certificate/gcert1-p11-pr193.json.gz": "15251deb0c11e0504d7b297c9786818888a93f08b92b03c6c122784b70488633 (its block histogram and counts in references/sussman/pr193-blocks.json)", + "tools/gx/gx.py": "6f3dc8bb639933227a8dae181ec4a542e85c7276be9c9e330f49518e7b630b95 (vendored unchanged as gx/gx.py)", + "tools/gx/gxcore.py": "eb972c06fe8c322db2d9a8d9a7d05596e8f40c4ca8e5f42eb6df3c7361b5d517 (vendored unchanged as gx/gxcore.py: his Python mirror of the two Lean checks, independent of gx.py)" + }, + "licence": "Apache-2.0, Copyright 2026 Jacob Sussman", + "repository": "jacobalansussman/wht-power-saving-lean" + } + } +} diff --git a/research/complex-module-anneal/aligned_word.py b/research/complex-module-anneal/aligned_word.py new file mode 100644 index 0000000000..089861d971 --- /dev/null +++ b/research/complex-module-anneal/aligned_word.py @@ -0,0 +1,224 @@ +#!/usr/bin/env python3 +"""aligned_word.py: PR #194's source-aligned complex word for given query modules and a frozen physical layer. + +This is research/source-assisted-v4/source_aligned_local_v4.py of PR #202 (ikeboy, PR #193/#194; derived from +icekylinx's research/source-assisted/decision/source_aligned_local.py, GPT-6 Astra assistance, Apache-2.0) with +its four discovery steps replaced by inputs: + * the three query modules are --tmod/--pmod/--qmod (the script hard-codes PR #168 v4's three files); they are + loaded and contract-checked by the tree's own loaders (triple_module_from, pair_module_from, all_but_one_from); + * the carrier arcs are --arcs (the script maps PR #168's frozen matching through the PR #168 v4 word); the tree's + compile_closure() checks them (one donor per use, acyclic generalized dependencies, every value span inside its + frame, exact positive-rank ledger); + * the preferred frame of every query operation is its frame in --frames (the script inherits PR #168's physical + frames). The forward closure, the clipping to the exact future cap and the minimal-frame check of every local + pair are the script's, unchanged, and the closure must return every frozen frame unchanged; + * the reuse pairs are --pairs (as the script's own --pairs option). Each pair must be an edge of the script's + candidate graph (donor ungauged and not a root, its last frame inside the recipient's gauge frame, its last + operation before the recipient's first, deadline as the script assigns it) and the list must already be a + fixed point of the script's last-late-control reordering. +Everything else, in the script's order: local configuration (G all 's', A all 'fd'), Graph.finish, merge +f8:00111100, compile_closure, select, the rank-at-most-two local phase-one prefix with its role predecessors, gauge +filtering, the target data histogram, the exact physical checks of scripts/paired_cube_physical.py (nested chains, +pair legality, spliced recount, exact numeric replay with mutations rejected) and the files written: cache/ +{graph,frames,selection,record}.json, references/paired-cube/physical/{frames,pairs}.json and +certificates/paired-cube-sinks-input.json, byte for byte in the script's encoding. Given PR #168's modules and the +script's own arcs, frames and pairs it reproduces the script's output byte for byte (verify.py checks this). + +usage: aligned_word.py --tree TREE --tmod F --pmod F --qmod F --arcs F --frames F --pairs F --out DIR +Run with the rebuilt PR #202 tree as working directory, as the upstream scripts are; -O is refused. +""" +from collections import Counter, defaultdict +from pathlib import Path +import argparse +import json +import sys +import time + +if sys.flags.optimize: + raise SystemExit('Assertions must remain enabled: run without -O') + + +def read(p): + return json.loads(Path(p).read_text()) + + +def write(p, d): + p.parent.mkdir(parents=True, exist_ok=True) + p.write_text(json.dumps(d, separators=(',', ':')) + '\n') + + +def main(): + ap = argparse.ArgumentParser(description=__doc__, formatter_class=argparse.RawDescriptionHelpFormatter) + ap.add_argument('--tree', type=Path, required=True, help='the rebuilt PR #202 tree (its scripts/ are imported)') + ap.add_argument('--tmod', type=Path, required=True, help='disjoint-triple module (triple_module_from, p = 11)') + ap.add_argument('--pmod', type=Path, required=True, help='pair module (pair_module_from, n = 10)') + ap.add_argument('--qmod', type=Path, required=True, help='all-but-one module (all_but_one_from, n = 9)') + ap.add_argument('--arcs', type=Path, required=True, help='{"matching_arcs": [[donor node, use code], ...]}') + ap.add_argument('--frames', type=Path, required=True, help='{"frames": [[operation, frame rows], ...]}') + ap.add_argument('--pairs', type=Path, required=True, help='{"pairs": [[donor, recipient, deadline], ...]}') + ap.add_argument('--out', type=Path, required=True) + a = ap.parse_args() + start = time.monotonic() + sys.path.insert(0, str(a.tree / 'scripts')) + from paired_cube.graph import Graph + from paired_cube.modules import triple_module_from, pair_module_from, all_but_one_from, merge_outputs + from paired_cube.closure import compile_closure + from paired_cube.gauges import select + from paired_cube.frames import basis, perp, contained + import paired_cube_physical as physical + s = a.tree / 'references/paired-cube/sources' + local = read(s / 'local_L1.json') + local['G'] = {k: 's' for k in local['G']} + local['A'] = {k: 'fd' for k in local['A']} + builder = Graph(11, local=local) + g = builder.finish(triple_module_from(a.tmod, 11), pair_module_from(a.pmod, 10), all_but_one_from(a.qmod, 9)) + g = merge_outputs(g, builder, 'f8:00111100') + g['matching_frames'] = 'coordinate' + h, v = g['h'], g['v'] + newcut = v + g['counts']['local_channel_additions'] + newargs = [None] + [None if x is None else [t + 1 for t in x] for x in g['args']] + newroots = [dict(r, node=r['node'] + 1) for r in g['roots']] + # frozen carrier arcs (in place of the arcs mapped from PR #168's matching) + arcs = read(a.arcs)['matching_arcs'] + assert len({x for x, _ in arcs}) == len(arcs), 'one arc per donor' + p, w = compile_closure(g, arcs) + assert w['matching_arcs'] == arcs, 'compile_closure did not keep the frozen arcs' + p, word = select(g, p, w) + assert all(ca in (-1, 1) and cb in (-1, 1) for ca, cb in word['opcoeff']) + print(json.dumps(dict(stage='word', local=g['counts']['local_channel_additions'], arcs=len(arcs), R=p['R'], + selected=p['selected_rank_histogram'], seconds=time.monotonic() - start)), flush=True) + ops = word['ops'] + # frozen preferred frames (in place of the frames inherited from PR #168's physical layer) + frames_in = read(a.frames)['frames'] + desired = [perp(tuple(w['annihilators'][x]), h) for _, _, x in ops] + for i, F in frames_in: + desired[i] = tuple(F) + spans = [()] + [(q,) for q in g['inputs']] + for aa, bb in newargs[v + 1:]: + spans.append(basis(spans[aa] + spans[bb])) + root_frames = {} + for r, slot in zip(newroots, word['rootroles']): + root_frames[slot] = spans[r['node']] if r['kind'] == 'center' else perp(basis(g['inputs'][t] for t in r['targets']), h) + R = p['R'] + pset = set(word['phase1']) + # Both signs of a pair must occur before the center cut (source_aligned_local_v4.py, unchanged). + previous = [-1] * R + parents = [] + for i, (aa, bb, x) in enumerate(ops): + parents.append((previous[aa], previous[bb])) + previous[aa] = previous[bb] = i + if x <= newcut and len(spans[x]) <= 2: + pset.add(i) + todo = list(pset) + while todo: + i = todo.pop() + for j in parents[i]: + if j >= 0 and j not in pset: + pset.add(j) + todo.append(j) + word['phase1'] = sorted(pset) + p['phase1_operations'] = len(pset) + chron = sorted(pset) + [i for i in range(len(ops)) if i not in pset] + cap = [perp(root_frames[s], h) if s in root_frames else () for s in range(R)] + maxima = [None] * len(ops) + for i in reversed(chron): + aa, bb, x = ops[i] + A = basis(cap[aa] + cap[bb]) + maxima[i] = perp(A, h) + cap[aa] = cap[bb] = A + assert contained(spans[x], maxima[i]) + selected = [z for z in word['selected'] if z['rank'] == h - 4] + gauge = {z['role']: perp(tuple(z['annihilator']), h) for z in selected} + current = [() for _ in range(R)] + for x, slot in word['sources'].items(): + current[slot] = (g['inputs'][int(x) - 1],) + for slot, U in gauge.items(): + current[slot] = U + frames = [None] * len(ops) + minimal_pairs = query_ops = 0 + for i in chron: + aa, bb, x = ops[i] + if x <= newcut: + want = spans[x] + else: + want = desired[i] + query_ops += 1 + want = perp(basis(perp(want, h) + perp(maxima[i], h)), h) + U = basis(spans[x] + want + current[aa] + current[bb]) + assert contained(U, maxima[i]), ('Forward frame outside future cap', i) + frames[i] = current[aa] = current[bb] = U + if x <= newcut and len(spans[x]) == 2: + assert U == spans[x], ('Local pair failed its minimal physical frame', i) + minimal_pairs += 1 + for slot, U in root_frames.items(): + assert contained(current[slot], U) + bad = [i for i in range(len(ops)) if frames[i] != desired[i]] + assert not bad, ('the forward closure changes %d frozen frames, first at operation %d' % (len(bad), bad[0])) + role_ops = defaultdict(list) + for i, (aa, bb, _) in enumerate(ops): + role_ops[aa].append(i) + role_ops[bb].append(i) + pos = {i: k for k, i in enumerate(chron)} + for slot in role_ops: + role_ops[slot].sort(key=pos.__getitem__) + recipients = sorted(gauge) + recipient_set = set(recipients) + donors = {slot for slot in range(R) if slot not in recipient_set and slot not in root_frames and slot in role_ops} + for slot in recipients: + assert role_ops[slot][0] not in pset + # frozen reuse pairs (in place of the script's matching; the script's own --pairs option) + pairs = read(a.pairs)['pairs'] + assert len({d for d, _, _ in pairs}) == len({b for _, b, _ in pairs}) == len(pairs), 'one pair per donor and recipient' + for d, b, t in pairs: + assert d in donors and b in recipient_set, ('pair outside the candidate roles', d, b) + last, first = role_ops[d][-1], role_ops[b][0] + assert contained(frames[last], gauge[b]), ('donor last frame outside the recipient gauge', d, b) + assert pos[last] < pos[first], ('donor not dead before the recipient', d, b) + assert t == (None if last in pset else first), ('deadline differs from the script\'s rule', d, b, t) + # The inherited negative replay moves its last late recipient to the phase cut (unchanged); the frozen list + # must already be in that order. + last_write = {} + for i, (aa, bb, x) in enumerate(ops): + last_write[aa] = max(last_write.get(aa, -1), pos[i]) + controls = [q for q in pairs if q[2] is not None and last_write.get(q[0], -1) >= len(pset)] + if controls: + chosen = controls[-1] + assert pairs[-1] == chosen, 'frozen pairs are not in the script\'s control order' + kept = {b for _, b, _ in pairs} + word['selected'] = [z for z in selected if z['role'] in kept] + moved = [[i, list(U)] for i, U in enumerate(frames) if U != perp(tuple(w['annihilators'][ops[i][2]]), h)] + assert moved == frames_in, 'frozen frames are not in the script\'s canonical form' + deadline = {b: t for _, b, t in pairs} + Y = [() for _ in range(v)] + target = Counter() + for z in sorted(word['selected'], key=lambda z: len(pset) if deadline[z['role']] is None else pos[deadline[z['role']]]): + U = gauge[z['role']] + for t in z['targets']: + assert contained(Y[t], U) + target[len(U) - len(Y[t])] += 1 + Y[t] = U + for r, slot in zip(newroots, word['rootroles']): + if r['kind'] == 'side': + U = root_frames[slot] + for t in r['targets']: + assert contained(Y[t], U) + target[len(U) - len(Y[t])] += 1 + Y[t] = U + for t in range(v): + target[h - 1 - len(Y[t])] += 1 + p['target_data_histogram'] = dict(target) + print(json.dumps(dict(stage='physical', query_ops=query_ops, moved_frames=len(moved), minimal_pair_ops=minimal_pairs, + pairs=len(pairs), gauges=len(word['selected']), seconds=time.monotonic() - start)), flush=True) + out = a.out + for name, data in [('graph.json', g), ('frames.json', w), ('selection.json', word), ('record.json', p)]: + write(out / 'cache' / name, data) + write(out / 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"licence": "Apache-2.0, Copyright 2026 Jacob Sussman", + "repository": "jacobalansussman/wht-power-saving-lean" + } + }, + "status": "PASS: four flow words exported as gcert/1 programs accepted by gx.check1; re-annealed modules priced at 7635/10^7 (PR233 pairs) and 7586/10^7 (PR193 pairs) in the five-stage layout, same-recipe control 7522/10^7 and 7469/10^7" +} diff --git a/research/complex-module-anneal/certificates/gcert1-p11-cmod-mw-flow.json.gz b/research/complex-module-anneal/certificates/gcert1-p11-cmod-mw-flow.json.gz new file mode 100644 index 0000000000..5e75a85365 Binary files /dev/null and b/research/complex-module-anneal/certificates/gcert1-p11-cmod-mw-flow.json.gz differ diff --git a/research/complex-module-anneal/certificates/gcert1-p11-cmod-parity-flow.json.gz b/research/complex-module-anneal/certificates/gcert1-p11-cmod-parity-flow.json.gz new file mode 100644 index 0000000000..23cafd90e6 Binary files /dev/null and b/research/complex-module-anneal/certificates/gcert1-p11-cmod-parity-flow.json.gz differ diff --git a/research/complex-module-anneal/certificates/gcert1-p11-pr168-v4-mw-flow.json.gz b/research/complex-module-anneal/certificates/gcert1-p11-pr168-v4-mw-flow.json.gz new file mode 100644 index 0000000000..5fcc5f6f4d Binary files /dev/null and b/research/complex-module-anneal/certificates/gcert1-p11-pr168-v4-mw-flow.json.gz differ diff --git a/research/complex-module-anneal/certificates/gcert1-p11-pr168-v4-parity-flow.json.gz b/research/complex-module-anneal/certificates/gcert1-p11-pr168-v4-parity-flow.json.gz new file mode 100644 index 0000000000..9ef4a7287a Binary files /dev/null and b/research/complex-module-anneal/certificates/gcert1-p11-pr168-v4-parity-flow.json.gz differ diff --git a/research/complex-module-anneal/discovery/README.md b/research/complex-module-anneal/discovery/README.md new file mode 100644 index 0000000000..75d4338bdb --- /dev/null +++ b/research/complex-module-anneal/discovery/README.md @@ -0,0 +1,52 @@ +# Discovery (not run by verify.py) + +`verify.py` never searches. It reads the frozen layers in `../layers/` and checks them; this directory records how they +were found and is the tool for re-pinning when a module changes. + +`make_layer.py` applies one recipe to three module files and writes `layers//`: + +1. the source-aligned graph of PR #194's pipeline with the given modules (the construction of `aligned_word.py`); +2. carrier arcs: the deterministic Hopcroft-Karp carrier matching of PR #200/#233's harness (`pr233/matching.py`, + ordering `reverse`) with the arcs of local donors dropped, then PR #162's greedy extension restricted to query + donors (`extend_floor.py` is `extend.py` of the harness with that donor floor, two lines); +3. `compile_closure` + `select`, then PR #200's operation-frame descent on the aligned word (`pr233/physical_opt.py` + endpoint moves, `pr233/bundles.py`, `pr233/joint.py`; at most three cycles); +4. `source_aligned_local_v4.py`'s forward closure with the descended frames as the preferred frames; +5. reuse pairs on these frames, two recipes: `parity` (`source_aligned_local_v4.py --avoid-parity-erasure`: PR + #193's minimum-weight full matching that avoids PR #184's parity erasures) and `mw` (PR #200/#233's maximum-weight + late compensated pairing, `pr233/pairs_mw.py`, last late pair moved to the phase cut); +6. kernel pairs: PR #184's flow with its own kernel matching on the tree that `aligned_word.py` writes (none are + found on the four committed layers). + +The committed files of both sets were written by this script and are identical to the layers of the original +exploratory runs. `layers/cmod/` belongs to `modules/tmod_cmod_v2.json` (a reheated continuation of the triple +module's anneal) with the pair and all-but-one modules of the first round; it was re-pinned with the commands below. +The annealing of the module files themselves (numba simulated annealing of each module against the exact compile +ledger of the aligned word, started from PR #168 v4's modules) is research code with workspace paths and is not +included; the modules are inputs here, checked by the tree's own contract loaders and priced by the chain. A +centre-sharing variant (the pair module also supplies the star centre as a 46th root, about +2.7% over the +same-recipe control on the numerical five-stage root) needs a change to `Graph.finish` of PR #202's tree and is not +packaged. + +## Re-pinning after a module changes + + python3 -B research/complex-module-anneal/discovery/make_layer.py --set cmod --tmod # ~5 min + python3 -B research/complex-module-anneal/verify.py --write # re-pins modules/ and layers/, sets the claims + python3 -B research/complex-module-anneal/verify.py # must PASS; then update README.md and PROOF.md + +`make_layer.py` copies a module given outside `modules/` into it and records the set's three files in +`SOURCE.json` (`module_sets`); modules not given keep their current entries. `verify.py --write` sets each claim to +the largest 10⁻⁷ grid point its exact bounds certify. + +## Vendored harness (`pr233/`) + +PR #233's discovery files (Chafik Boukhalfa with Anthropic Claude and OpenAI Codex assistance; Apache-2.0; PR #162 +extension DaysSky et al.), unchanged: `matching.py`, `physical_opt.py`, `bundles.py`, `joint.py`, `pairs_mw.py` and +their `README.md` (which also names `harness.py`, `flow_frames.py`, `extend.py`, not needed here). sha256: + + 59d1cd30e67d3511cf799140eb248e785e77aaccff7c47a22a0feef8fb6f021e matching.py + cbfd06026a44df30944781262848c88ec987ca5e80381e35ae7ad715a9db1fce physical_opt.py + 71c81bc858e62e03e2a5230c16c4c199a027c24402cdc937bd4ded60f4ee3286 bundles.py + e4857418f6e16d6fbb1815d3c4148116e35a6b9940cb57acb2b563da5621b92c joint.py + aa927718ad27bebcfa2bddeb3704d4721433c2d4e6b6e218ceb9d28a07cd6c83 pairs_mw.py + 1bd628da0afbccfd9baafc2d51cd96a51a4e46c782b783a1c16bea04fd88d98c README.md diff --git a/research/complex-module-anneal/discovery/extend_floor.py b/research/complex-module-anneal/discovery/extend_floor.py new file mode 100644 index 0000000000..b9f2bb7619 --- /dev/null +++ b/research/complex-module-anneal/discovery/extend_floor.py @@ -0,0 +1,99 @@ +# agent-cmod copy of PR233 discovery extend.py (PR162 extension, DaysSky et al., Apache-2.0) with a donor floor. +"""PR162 generalized-carrier construction helper, DaysSky et al. Apache-2.0. +Extracted unchanged function only; no foreign producer invocation. +""" +from collections import defaultdict +from functools import lru_cache +from paired_cube.frames import basis,perp,contained +@lru_cache(maxsize=None) +def join(A,B): + if A==B or not B:return A + if not A:return B + return basis(A+B) +@lru_cache(maxsize=None) +def orthogonal(S,A):return all((s&a).bit_count()%2==0 for s in S for a in A) +def extended_arcs(g, frozen, min_donor=0): + """Greedy extension of the frozen arcs. gspan[x]: span of every value that reaches x through DAG or arc edges; + gann[x]: annihilator of the intersection of every root frame reachable from x. An arc x -> t is legal iff + gspan[x] is orthogonal to gann[t] and t does not reach x.""" + h = g['h']; inputs = g['inputs'] + args = [None] + [None if a is None else [x + 1 for x in a] for a in g['args']] + roots = [dict(r, node=r['node'] + 1) for r in g['roots']] + v, n = len(inputs), len(args) + spans = [()] * n + for i, u in enumerate(inputs): spans[i + 1] = (u,) + for x in range(v + 1, n): spans[x] = basis(spans[args[x][0]] + spans[args[x][1]]) + rann = [perp(spans[r['node']], h) if r.get('kind', 'side') == 'center' else basis(inputs[t] for t in r['targets']) + for r in roots] + active = set(range(1, v + 1)); todo = [r['node'] for r in roots] + while todo: + x = todo.pop() + if x in active: continue + active.add(x) + if args[x]: todo.extend(args[x]) + succ = [set() for _ in args]; pred = [set() for _ in args]; direct = [[] for _ in args] + uses = defaultdict(list) + for x in sorted(active): + if args[x]: + for j, y in enumerate(args[x]): succ[y].add(x); pred[x].add(y); uses[y].append(2 * x + j) + for j, r in enumerate(roots): direct[r['node']].extend(rann[j]); uses[r['node']].append((1 << 31) | j) + gann = [None] * n; gspan = list(spans) + for x in sorted(active, reverse=True): gann[x] = basis(direct[x] + [z for y in succ[x] for z in gann[y]]) + plain = list(gann) # DAG-only intersections, for the candidate screen + ancestors = {} + def above(x): + if x not in ancestors: + seen = set(); stack = [x] + while stack: + y = stack.pop() + if args[y]: + for z in args[y]: + if z not in seen: seen.add(z); stack.append(z) + ancestors[x] = seen + return ancestors[x] + arcs = {}; used = set() + def value(code): return roots[code & 0x7fffffff]['node'] if code >> 31 else args[code // 2][code & 1] + def add(x, code, check): + t = None if code >> 31 else code // 2 + At = rann[code & 0x7fffffff] if t is None else gann[t] + if check: + if not orthogonal(gspan[x], At): return False + if t is not None: + stack = [t]; seen = {t} + while stack: + y = stack.pop() + if y == x: return False + for z in succ[y]: + if z not in seen: seen.add(z); stack.append(z) + arcs[x] = code; used.add(code) + work = [(x, At)] + while work: + y, extra = work.pop(); new = join(gann[y], extra) + if new == gann[y]: continue + gann[y] = new + for z in pred[y]: work.append((z, new)) + if t is not None: + succ[x].add(t); pred[t].add(x); work = [(t, gspan[x])] + while work: + y, extra = work.pop(); new = join(gspan[y], extra) + if new == gspan[y]: continue + gspan[y] = new + for z in succ[y]: work.append((z, new)) + return True + for x, code in frozen: assert add(x, code, True), ('frozen arc rejected', x, code) + for x in sorted(active): + if x < min_donor: continue + if not args[x]: continue + for j, y in enumerate(args[x]): + other = args[x][1 - j] + for code in uses[y]: + if code == 2 * x + j or x in arcs or code in used: continue + if code >> 31: screen = rann[code & 0x7fffffff] + else: + t = code // 2 + if t < x and t in above(x): continue + screen = plain[t] + if not orthogonal(spans[other], screen): continue + if sum(1 for u in uses[value(code)] if u not in used) <= 1: continue # every value keeps a free use + add(x, code, True) + return sorted([x, code] for x, code in arcs.items()) diff --git a/research/complex-module-anneal/discovery/make_layer.py b/research/complex-module-anneal/discovery/make_layer.py new file mode 100644 index 0000000000..5f643be2b1 --- /dev/null +++ b/research/complex-module-anneal/discovery/make_layer.py @@ -0,0 +1,297 @@ +#!/usr/bin/env python3 +"""make_layer.py: discovery of a frozen physical layer for three query modules (NOT run by verify.py). + +verify.py never searches: it reads layers// and checks it. This script is how those files were found, kept for +provenance and for re-pinning after a module changes. Recipe (the same for the control and the result): + 1. the source-aligned graph of PR #194's pipeline with the given modules (aligned_word.py's construction); + 2. fresh carrier arcs: the deterministic Hopcroft-Karp carrier matching of PR #200/#233's discovery harness + (pr233/matching.py, ordering 'reverse'), arcs of local donors dropped (as the mapped arcs of PR #193/#194 drop + them), then PR #162's greedy extension restricted to query donors (extend_floor.py); + 3. compile_closure + select, then PR #200's operation-frame descent on that word (pr233/physical_opt.py single + endpoint moves, bundles.py equal-frame components, joint.py adjacent components; up to three cycles); + 4. source_aligned_local_v4.py's forward closure with the descended frames as preferred frames (clipped to the + future cap; local operations keep their literal spans); + 5. reuse pairs, two recipes on the same frames: 'parity' = source_aligned_local_v4.py --avoid-parity-erasure (PR + #193's minimum-weight full matching avoiding PR #184's parity erasures), 'mw' = PR #200/#233's maximum-weight + late compensated pairing (pr233/pairs_mw.py) with harness.descend's last-late-pair order; + 6. kernel pairs: PR #184's complex_frame_flow.py --witness --purify-source-donors --recycle-kernels on the + aligned tree written by aligned_word.py (its own maximum matching), frozen as found. +Writes layers//{matching-arcs,physical-frames,physical-pairs-parity,physical-pairs-mw,kernel-pairs-parity, +kernel-pairs-mw}.json and, for a set of package modules, records the module files used in SOURCE.json's +module_sets (a module given outside modules/ is first copied there). Then run verify.py --write (re-pins +SOURCE.json, sets the claims, regenerates the certificates) and verify.py. + +usage: python3 -B discovery/make_layer.py --set cmod [--tmod F] [--pmod F] [--qmod F] + python3 -B discovery/make_layer.py --set pr168-v4 (PR #168 v4's three files from the rebuilt tree) +A module not given defaults to the set's current entry in SOURCE.json. Needs numpy/scipy as verify.py; about five +minutes. Floating-point scores choose the frames and pairs; nothing here is a proof. +""" +import argparse +import bisect +import importlib.util +import json +import subprocess +import sys +import tempfile +import time +from collections import defaultdict +from pathlib import Path + +if sys.flags.optimize: + raise SystemExit('Assertions must remain enabled: run without -O') +sys.dont_write_bytecode = True +HERE = Path(__file__).resolve().parent +PKG = HERE.parent +PR168 = dict(tmod='tmod_TE_TD_TB3_1_1_4_full_6.0617964e-4.json', pmod='pmod_J0_full_6.0666810e-4.json', + qmod='qmod_climb3u_best.json') +DESCRIPTIONS = dict( + arcs='Frozen carrier arcs of the source-aligned word (discovery/make_layer.py step 2): deterministic HK carrier ' + 'matching (PR200/233 harness, ordering reverse) on query donors plus PR162 extension; checked by compile_closure.', + frames='Frozen operation frames (source_aligned_local_v4.py canonical form: operations whose frame differs from the ' + 'closure frame), from PR200 descent on the aligned word and the script\'s forward closure.', + parity='Frozen reuse pairs [donor, recipient, deadline]: PR193 recipe (source_aligned_local_v4.py ' + '--avoid-parity-erasure minimum-weight full matching), in the script\'s control order.', + mw='Frozen reuse pairs [donor, recipient, deadline]: PR200/233 maximum-weight late compensated pairing ' + '(pairs_mw.py) with the last late pair moved to the phase cut.', + kernel='Frozen kernel pairs of the frame flow on this layer (complex_frame_flow.py --witness --recycle-kernels).') + + +def dump(path, data): + path.parent.mkdir(parents=True, exist_ok=True) + path.write_text(json.dumps(data, separators=(',', ':')) + '\n') + + +def log(msg, t0=time.monotonic()): + print('[%6.1fs] %s' % (time.monotonic() - t0, msg), flush=True) + + +def rebuild_tree(dest): + spec = importlib.util.spec_from_file_location('pr233_layer_verify', PKG / 'references/pr233-layer/verify.py') + mod = importlib.util.module_from_spec(spec) + spec.loader.exec_module(mod) + mod.rebuild(dest) + return dest + + +def main(): + ap = argparse.ArgumentParser(description=__doc__, formatter_class=argparse.RawDescriptionHelpFormatter) + ap.add_argument('--set', required=True, help='layer name: writes layers//') + ap.add_argument('--tmod', type=Path); ap.add_argument('--pmod', type=Path); ap.add_argument('--qmod', type=Path) + ap.add_argument('--tree', type=Path, help='an already rebuilt PR #202 tree (default: rebuild into a temporary directory)') + ap.add_argument('--out', type=Path, help='output directory (default: layers/)') + a = ap.parse_args() + out = (a.out or PKG / 'layers' / a.set).resolve() + source = json.loads((PKG / 'SOURCE.json').read_text()) + current = source['module_sets'].get(a.set, {k: 'tree:references/paired-cube/sources/' + f for k, f in PR168.items()}) + with tempfile.TemporaryDirectory(prefix='make-layer-') as d: + root = a.tree.resolve() if a.tree else rebuild_tree(Path(d).resolve()) + src = root / 'references/paired-cube/sources' + mods, record = {}, {} + for k in PR168: + given = getattr(a, k) + if given is None: + rel = current[k] + mods[k] = root / rel[5:] if rel.startswith('tree:') else PKG / rel + record[k] = rel + continue + given = given.resolve() + if (PKG / 'modules') not in given.parents: + dest = PKG / 'modules' / given.name + assert not dest.exists() or dest.read_bytes() == given.read_bytes(), 'a different module file exists: %s' % dest + dest.write_bytes(given.read_bytes()) + log('copied %s into modules/' % given.name) + given = dest + mods[k] = given + record[k] = given.relative_to(PKG).as_posix() + sys.path.insert(0, str(root / 'scripts')) + sys.path.insert(0, str(HERE / 'pr233')) + sys.path.insert(0, str(HERE)) + from paired_cube.graph import Graph + from paired_cube.modules import triple_module_from, pair_module_from, all_but_one_from, merge_outputs + from paired_cube.closure import compile_closure + from paired_cube.gauges import select + from paired_cube.frames import basis, perp, contained + from matching import carrier_matching + from extend_floor import extended_arcs + import physical_opt + import bundles + import joint + from pairs_mw import pairs_maxweight + import numpy as np + from scipy.sparse import csr_matrix + from scipy.sparse.csgraph import min_weight_full_bipartite_matching + # 1. graph (aligned_word.py / source_aligned_local_v4.py construction) + local = json.loads((src / 'local_L1.json').read_text()) + local['G'] = {k: 's' for k in local['G']} + local['A'] = {k: 'fd' for k in local['A']} + builder = Graph(11, local=local) + g = builder.finish(triple_module_from(mods['tmod'], 11), pair_module_from(mods['pmod'], 10), all_but_one_from(mods['qmod'], 9)) + g = merge_outputs(g, builder, 'f8:00111100') + g['matching_frames'] = 'coordinate' + h, v = g['h'], g['v'] + newcut = v + g['counts']['local_channel_additions'] + # 2. fresh arcs + arcs, stats = carrier_matching(g, 'reverse') + arcs = [x for x in arcs if x[0] > newcut] + arcs = extended_arcs(g, arcs, min_donor=newcut + 1) + assert all(x[0] > newcut for x in arcs) + log('arcs: %d (HK matched %d of %d donors)' % (len(arcs), stats['matched'], stats['donors'])) + # 3. descent on the aligned word + base, w = compile_closure(g, arcs) + row, word = select(g, base, w) + o = physical_opt.Physical(g, w, word, row) + for k in range(3): + r1 = o.descend(6); r2 = bundles.descend(o, 3); r3 = joint.descend(o, 3, 'forward', k) + if not any(x['changed'] for x in r1) and not any(x['moved_components'] for x in r2) and not any(x['moved'] for x in r3): + break + dframes = o.frames + log('descent done') + # 4. forward closure (source_aligned_local_v4.py, preferred frames = descended frames) + p, w = compile_closure(g, arcs) + p, word = select(g, p, w) + ops = word['ops'] + assert len(ops) == len(dframes) + newargs = [None] + [None if x is None else [t + 1 for t in x] for x in g['args']] + newroots = [dict(r, node=r['node'] + 1) for r in g['roots']] + spans = [()] + [(q,) for q in g['inputs']] + for aa, bb in newargs[v + 1:]: + spans.append(basis(spans[aa] + spans[bb])) + root_frames = {} + for r, slot in zip(newroots, word['rootroles']): + root_frames[slot] = spans[r['node']] if r['kind'] == 'center' else perp(basis(g['inputs'][t] for t in r['targets']), h) + R = p['R'] + pset = set(word['phase1']) + previous = [-1] * R + parents = [] + for i, (aa, bb, x) in enumerate(ops): + parents.append((previous[aa], previous[bb])) + previous[aa] = previous[bb] = i + if x <= newcut and len(spans[x]) <= 2: + pset.add(i) + todo = list(pset) + while todo: + i = todo.pop() + for j in parents[i]: + if j >= 0 and j not in pset: + pset.add(j) + todo.append(j) + word['phase1'] = sorted(pset) + p['phase1_operations'] = len(pset) + chron = sorted(pset) + [i for i in range(len(ops)) if i not in pset] + cap = [perp(root_frames[s], h) if s in root_frames else () for s in range(R)] + maxima = [None] * len(ops) + for i in reversed(chron): + aa, bb, x = ops[i] + A = basis(cap[aa] + cap[bb]) + maxima[i] = perp(A, h) + cap[aa] = cap[bb] = A + selected = [z for z in word['selected'] if z['rank'] == h - 4] + gauge = {z['role']: perp(tuple(z['annihilator']), h) for z in selected} + current = [() for _ in range(R)] + for x, slot in word['sources'].items(): + current[slot] = (g['inputs'][int(x) - 1],) + for slot, U in gauge.items(): + current[slot] = U + frames = [None] * len(ops) + for i in chron: + aa, bb, x = ops[i] + want = spans[x] if x <= newcut else perp(basis(perp(tuple(dframes[i]), h) + perp(maxima[i], h)), h) + U = basis(spans[x] + want + current[aa] + current[bb]) + assert contained(U, maxima[i]), ('Forward frame outside future cap', i) + frames[i] = current[aa] = current[bb] = U + moved = [[i, list(U)] for i, U in enumerate(frames) if U != perp(tuple(w['annihilators'][ops[i][2]]), h)] + log('frames: %d of %d operations moved from their closure frames' % (len(moved), len(ops))) + # 5. pairs + role_ops = defaultdict(list) + for i, (aa, bb, _) in enumerate(ops): + role_ops[aa].append(i) + role_ops[bb].append(i) + pos = {i: k for k, i in enumerate(chron)} + for slot in role_ops: + role_ops[slot].sort(key=pos.__getitem__) + last_write = {} + for i, (aa, bb, x) in enumerate(ops): + last_write[aa] = max(last_write.get(aa, -1), pos[i]) + + def control_order(pairs): + controls = [q for q in pairs if q[2] is not None and last_write.get(q[0], -1) >= len(pset)] + if controls: + chosen = controls[-1] + pairs.remove(chosen) + pairs.append(chosen) + return pairs + recipients = sorted(gauge) + recipient_set = set(recipients) + donors = [slot for slot in range(R) if slot not in recipient_set and slot not in root_frames and slot in role_ops] + groups = defaultdict(list) + for j, slot in enumerate(recipients): + groups[gauge[slot]].append((pos[role_ops[slot][0]], j)) + group_data = [] + for U, ls in groups.items(): + ls.sort() + group_data.append((U, [x for x, _ in ls], [j for _, j in ls])) + cache, indices, indptr = {}, [], [0] + for slot in donors: + last = role_ops[slot][-1] + U = frames[last] + eligible = cache.get(U) + if eligible is None: + eligible = cache[U] = [(ps, js) for V, ps, js in group_data if contained(U, V)] + for ps, js in eligible: + indices.extend(js[bisect.bisect_right(ps, pos[last]):]) + indptr.append(len(indices)) + parity = [] + for cube in range(v // 8): + for bit in range(2): + parity.append(basis(tuple(g['inputs'][8 * cube + j] for j in range(8) if j.bit_count() % 2 == bit))) + erasable = {} + + def weight(slot, j): + key = (frames[role_ops[slot][-1]], gauge[recipients[j]]) + if key not in erasable: + U, V = key + erasable[key] = len(U) <= 3 and any(contained(U, S) and contained(S, V) for S in parity) + return 2.0 if erasable[key] else 1.0 + weights = np.array([weight(slot, indices[k]) for r, slot in enumerate(donors) for k in range(indptr[r], indptr[r + 1])]) + wmatrix = csr_matrix((weights, np.array(indices, dtype=np.int32), np.array(indptr, dtype=np.int32)), shape=(len(donors), len(recipients))) + rows, cols = min_weight_full_bipartite_matching(wmatrix.T.tocsr()) + matched = np.full(len(donors), -1) + matched[cols] = rows + pairs_parity = control_order([[slot, recipients[j], None if role_ops[slot][-1] in pset else role_ops[recipients[j]][0]] + for slot, j in zip(donors, matched) if j >= 0]) + o = physical_opt.Physical(g, w, dict(word, selected=selected), p) + for i, U in enumerate(frames): + o.frames[i] = tuple(U) + pairs_mw, mwstats = pairs_maxweight(o) + good = [k for k, (dd, b, t) in enumerate(pairs_mw) if t is not None and any(i not in o.phase and o.ops[i][0] == dd for i in o.role_ops[dd])] + if good: + pairs_mw.append(pairs_mw.pop(good[-1])) + log('pairs: parity %d, mw %d (of %d gauges)' % (len(pairs_parity), len(pairs_mw), len(recipients))) + dump(out / 'matching-arcs.json', dict(description=DESCRIPTIONS['arcs'], matching_arcs=arcs)) + dump(out / 'physical-frames.json', dict(description=DESCRIPTIONS['frames'], frames=moved)) + dump(out / 'physical-pairs-parity.json', dict(description=DESCRIPTIONS['parity'], pairs=pairs_parity)) + dump(out / 'physical-pairs-mw.json', dict(description=DESCRIPTIONS['mw'], pairs=pairs_mw)) + # 6. kernel pairs: aligned tree with aligned_word.py, flow with its own kernel matching + for recipe in ('parity', 'mw'): + tree = Path(d) / ('tree-' + recipe) + for cmd in ([PKG / 'aligned_word.py', '--tree', root, '--tmod', mods['tmod'], '--pmod', mods['pmod'], '--qmod', mods['qmod'], + '--arcs', out / 'matching-arcs.json', '--frames', out / 'physical-frames.json', + '--pairs', out / ('physical-pairs-%s.json' % recipe), '--out', tree], + [root / 'research/source-assisted/decision/complex_frame_flow.py', '--tree', tree, '--cache', tree / 'cache', + '--out', tree / 'flow.json', '--witness', '--purify-source-donors', '--recycle-kernels']): + r = subprocess.run([sys.executable, '-B', *map(str, cmd)], cwd=root, capture_output=True, text=True) + if r.returncode: + raise SystemExit('FAILED: %s\n%s%s' % (cmd[0], r.stdout[-3000:], r.stderr[-3000:])) + kernel = json.loads((tree / 'flow.witness.json').read_text())['kernel_pairs'] + flow = json.loads((tree / 'flow.json').read_text()) + dump(out / ('kernel-pairs-%s.json' % recipe), dict(description=DESCRIPTIONS['kernel'], kernel_pairs=kernel)) + log('%s: flow new_R %d, kernel reuses %d, numerical three-stage root %.7e' % (recipe, flow['new_R'], len(kernel), flow['numerical_local_root'])) + log('wrote %s' % out) + if out == (PKG / 'layers' / a.set).resolve() and source['module_sets'].get(a.set) != record: + source['module_sets'][a.set] = dict(sorted(record.items())) + (PKG / 'SOURCE.json').write_text(json.dumps(source, indent=1) + '\n') + log('recorded the modules of %s in SOURCE.json: %s; now run verify.py --write, then verify.py' % (a.set, record)) + + +if __name__ == '__main__': + main() diff --git a/research/complex-module-anneal/discovery/pr233/README.md b/research/complex-module-anneal/discovery/pr233/README.md new file mode 100644 index 0000000000..339adb1c76 --- /dev/null +++ b/research/complex-module-anneal/discovery/pr233/README.md @@ -0,0 +1,18 @@ +# Discovery (not run by verify.py) + +The physical layer of the certified package is PR #168's operation frames with PR #200's late compensated reuse +pairing (`physical_opt.py:pairs`, the maximum-weight pairing of `pairs_mw.py` (transversal-matroid greedy with augmenting paths, donor weight the gain heuristic of PR #200)). `flow_frames.py` runs `harness.descend` on the source-aligned cache of +PR #194's pipeline with all frame moves frozen (`DESCENT_LIGHT_ROUNDS=1 DESCENT_FREEZE_FRAC=1.0 --light +--seed-frames`), recomputes the pairs and prices the layer with PR #184's `complex_frame_flow.py`: + + SA_TREE= SA_PY= DESCENT_LIGHT_ROUNDS=1 DESCENT_FREEZE_FRAC=1.0 \ + python3 -B flow_frames.py --aligned --seed-frames --light --mw 1 --keep out/ + +Float flow roots: PR #168's pairing 7.00918e-4; PR #200's default pairing (donors ordered by the gain heuristic) +7.09765e-4; donors ordered by widest end frame with recipients in reverse chronology (`PAIR_ORDER=wide +PAIR_RECIPIENTS=reverse`) 7.09882e-4; the maximum-weight pairing (`--mw 1`, `pairs_mw.py`, every donor-weight variant +tried) 7.09907e-4, the certified layer; random donor orders 6.4e-4 to 6.6e-4. With frames also descended: full cycle +7.08613e-4, one light round 7.0950e-4, 98% of operations frozen 7.09767e-4; a screen over every single endpoint move +on top of PR #168's frames (`flow_moves.py`) finds no improving move, so the frames are left untouched. The matching +itself is PR #168's frozen carrier matching (`matching.py`, `extend.py` are needed only to import `harness`). +Prepared by Chafik Boukhalfa with Anthropic Claude and OpenAI Codex assistance; Apache-2.0. diff --git a/research/complex-module-anneal/discovery/pr233/bundles.py b/research/complex-module-anneal/discovery/pr233/bundles.py new file mode 100644 index 0000000000..2035223567 --- /dev/null +++ b/research/complex-module-anneal/discovery/pr233/bundles.py @@ -0,0 +1,50 @@ +"""Connected equal-frame endpoint moves, motivated by PR164/168 bundle descent. + +Own explicit boundary implementation: all source spans, incoming and outgoing +role frames are recomputed before a move. No physical legality is inferred from +an optimization score; the independent physical verifier remains mandatory. +""" +from collections import defaultdict +from physical_opt import join,meet +from paired_cube.frames import contained + +def descend(o,rounds=4): + report=[] + for rnd in range(rounds): + n=len(o.ops);parent=list(range(n)) + def root(i): + while parent[i]!=i:parent[i]=parent[parent[i]];i=parent[i] + return i + def union(i,j): + a,b=root(i),root(j) + if a!=b:parent[max(a,b)]=min(a,b) + for i in range(n): + for j in o.prev[i]: + if j is not None and o.frames[i]==o.frames[j]:union(i,j) + groups=defaultdict(list) + for i in range(n):groups[root(i)].append(i) + groups=[l for l in groups.values() if len(l)>1];groups.sort(key=lambda l:min(l),reverse=not rnd%2) + moved=changed=0;gain=0.;big=0 + for ids in groups: + inside=set(ids);F=o.frames[ids[0]];assert all(o.frames[i]==F for i in ids) + L=();U=o.full;previous=[];after=[] + for i in ids: + a,b,x=o.ops[i];L=join(L,o.spans[x]) + for role,j in zip((a,b),o.prev[i]): + if j not in inside: + A=o.frames[j] if j is not None else o.start[role];previous.append(A);L=join(L,A) + for role,j in zip((a,b),o.next[i]): + if j not in inside: + A=o.frames[j] if j is not None else o.end[role];after.append(A);U=meet(U,A,o.h) + assert contained(L,F) and contained(F,U) + def score(A): + d=len(A);return sum(o.phi[d-len(P)] for P in previous)+sum(o.phi[len(N)-d] for N in after) + old=score(F);candidate=min((L,U),key=score);delta=old-score(candidate) + if delta>1e-7: + for i in ids:o.frames[i]=candidate + moved+=1;changed+=len(ids);gain+=delta;big=max(big,len(ids)) + rec=dict(round=rnd,components=len(groups),moved_components=moved,changed_operations=changed,numerical_excess_gain=gain,largest_moved_component=big);report.append(rec);print('bundles',rec,flush=True) + if not moved:break + for i in range(n): + P,N=o.neighbors(i);assert contained(o.spans[o.ops[i][2]],o.frames[i]);assert all(contained(F,o.frames[i]) for F in P);assert all(contained(o.frames[i],F) for F in N) + return report diff --git a/research/complex-module-anneal/discovery/pr233/joint.py b/research/complex-module-anneal/discovery/pr233/joint.py new file mode 100644 index 0000000000..a67d18034d --- /dev/null +++ b/research/complex-module-anneal/discovery/pr233/joint.py @@ -0,0 +1,67 @@ +"""Joint collapse of adjacent operation-frame components. + +All incoming/outgoing chains and actual value supports bound each common +frame. Old internal rank increments are charged once per role edge. A move +must reduce the full boundary-plus-internal numerical objective. Floating +scores select a witness only; admission requires the independent exact audit. +""" +from collections import defaultdict +import random,time +from physical_opt import join,meet +from paired_cube.frames import contained + +def components(o): + n=len(o.ops);parent=list(range(n)) + def root(i): + while parent[i]!=i:parent[i]=parent[parent[i]];i=parent[i] + return i + for i in range(n): + for j in o.prev[i]: + if j is not None and o.frames[i]==o.frames[j]: + a,b=root(i),root(j) + if a!=b:parent[max(a,b)]=min(a,b) + groups=defaultdict(list) + for i in range(n):groups[root(i)].append(i) + adjacent=set() + for i in range(n): + for j in o.prev[i]: + if j is not None and root(i)!=root(j):adjacent.add(tuple(sorted((root(i),root(j))))) + return groups,sorted(adjacent) + +def descend(o,rounds=5,order='forward',seed=0): + result=[];rng=random.Random(seed) + for rnd in range(rounds): + t=time.monotonic();groups,adjacent=components(o) + if order=='random':rng.shuffle(adjacent) + elif (order=='reverse')^(rnd%2==1):adjacent.reverse() + tried=feasible=moved=changed=largest=0;gain=0. + for a,b in adjacent: + ids=groups[a]+groups[b];inside=set(ids);tried+=1 + # Each original component remains uniform even after overlapping moves. + assert all(o.frames[i]==o.frames[a] for i in groups[a]) + assert all(o.frames[i]==o.frames[b] for i in groups[b]) + L=();U=o.full;previous=[];after=[];old=0. + for i in ids: + x,y,node=o.ops[i];F=o.frames[i];L=join(L,o.spans[node]) + for role,j in zip((x,y),o.prev[i]): + P=o.frames[j] if j is not None else o.start[role] + assert contained(P,F);old+=o.phi[len(F)-len(P)] + if j not in inside:previous.append(P);L=join(L,P) + for role,j in zip((x,y),o.next[i]): + if j not in inside: + N=o.frames[j] if j is not None else o.end[role] + assert contained(F,N);after.append(N);U=meet(U,N,o.h);old+=o.phi[len(N)-len(F)] + if not contained(L,U):continue + feasible+=1 + def score(F): + d=len(F);return sum(o.phi[d-len(P)] for P in previous)+sum(o.phi[len(N)-d] for N in after) + best=min((L,U),key=lambda F:(score(F),len(F),F));delta=old-score(best) + if delta>1e-7: + for i in ids:o.frames[i]=best + moved+=1;changed+=len(ids);gain+=delta;largest=max(largest,len(ids)) + row=dict(round=rnd,groups=len(groups),tried=tried,feasible=feasible,moved=moved,changed=changed,largest=largest,numerical_excess_gain=gain,seconds=time.monotonic()-t) + print('joint',row,flush=True);result.append(row) + if not moved:break + for i in range(len(o.ops)): + P,N=o.neighbors(i);assert contained(o.spans[o.ops[i][2]],o.frames[i]);assert all(contained(F,o.frames[i]) for F in P);assert all(contained(o.frames[i],F) for F in N) + return result diff --git a/research/complex-module-anneal/discovery/pr233/matching.py b/research/complex-module-anneal/discovery/pr233/matching.py new file mode 100644 index 0000000000..e84e348556 --- /dev/null +++ b/research/complex-module-anneal/discovery/pr233/matching.py @@ -0,0 +1,131 @@ +"""Own explicit legal-edge Hopcroft-Karp witness; from our r13 search.""" +from collections import deque +import sys +from paired_cube.frames import basis,perp,contained +def carrier_matching(g,ordering='node'): + """Exact legal edge list, then deterministic Hopcroft--Karp matching. + + Frame and chronological predicates are the retained compiler's predicates; + the resulting explicit arcs are checked anew by compile_graph. + """ + h=g['h'];v=g['v'];args=[None]+[None if a is None else [y+1 for y in a] for a in g['args']] + roots=[dict(r,node=r['node']+1) for r in g['roots']];n=len(args) + spans=[()]*n + for i,u in enumerate(g['inputs']):spans[i+1]=(u,) + for x in range(v+1,n):spans[x]=basis(spans[args[x][0]]+spans[args[x][1]]) + rann=[];rframe=[] + for r in roots: + if r['kind']=='center':U=spans[r['node']];A=perp(U,h) + else:A=basis(g['inputs'][t] for t in r['targets']);U=perp(A,h) + rann.append(A);rframe.append(U) + active=set(range(1,v+1));todo=[r['node'] for r in roots] + while todo: + x=todo.pop() + if x in active:continue + active.add(x);todo.extend(args[x] or []) + initial=spans + if g['matching_frames'] in ('maximal','coordinate'): + initial=[()]*n;ann=[None]*n;successors=[[] for _ in args];constraints=[[] for _ in args] + for x in sorted(active): + for y in args[x] or []:successors[y].append(x) + for j,r in enumerate(roots):constraints[r['node']].extend(rann[j]) + for x in sorted(active,reverse=True): + ann[x]=basis(constraints[x]+[z for y in successors[x] for z in ann[y]]) + initial[x]=perp(ann[x],h) + if g['matching_frames']=='coordinate': + cover=0 + for u in spans[x]:cover|=u + initial[x]=perp(ann[x]+tuple(1<>j&1),h) + assert contained(spans[x],initial[x]) + order=sorted(active,key=lambda x:(len(initial[x]),x));position={x:i for i,x in enumerate(order)} + uses=[[] for _ in args];uf=[];ut=[];uc=[] + for x in order: + for j,y in enumerate(args[x] or []):uses[y].append(len(uc));uf.append(initial[x]);ut.append(x);uc.append(2*x+j) + for j,r in enumerate(roots):uses[r['node']].append(len(uc));uf.append(rframe[j]);ut.append(n+j);uc.append((1<<31)|j) + donors=[x for x in order if args[x]] + if ordering=='reverse':donors.reverse() + elif ordering=='narrow':donors.sort(key=lambda x:(len(initial[x]),x)) + elif ordering=='wide':donors.sort(key=lambda x:(-len(initial[x]),x)) + elif ordering=='node':donors.sort() + elif ordering.startswith('random:'): + import random + rnd=random.Random(int(ordering.split(':',1)[1]));rnd.shuffle(donors) + adjacency=[] + for x in donors: + row=[u for y in args[x] for u in uses[y] if (ut[u]>=n or position[ut[u]]>position[x]) and contained(initial[x],uf[u])] + if ordering.startswith('late'): # prefer the latest use in the chronology (root uses last), then the largest growth + row.sort(key=lambda u:(-(position[ut[u]] if ut[u]=0] + stats=dict(donors=L,uses=len(uc),edges=sum(map(len,adjacency)),matched=len(arcs),augment_rounds=iterations) + if ordering.startswith('frozen:'): + import json as _j + given=_j.loads(open(ordering.split(':',1)[1]).read());pos_of={uc[u]:u for u in range(len(uc))} + growth=0;seen=0 + for x,code in given: + u=pos_of.get(code) + if u is None:continue + seen+=1;growth+=len(uf[u])-len(initial[x]) + stats.update(frozen_arcs=len(given),frozen_seen=seen,frozen_growth=growth,hk_growth=int(sum(len(uf[v2])-len(initial[donors[i]]) for i,v2 in enumerate(ml) if v2>=0))) + import os as _os + if _os.environ.get('MATCH_FEATURES'): + chosen={x:pos_of[c] for x,c in given if c in pos_of};hk={donors[i]:v2 for i,v2 in enumerate(ml) if v2>=0} + rec=[] + for i,x in enumerate(donors): + cands=[dict(u=u,growth=len(uf[u])-len(initial[x]),udim=len(uf[u]),root=int(ut[u]>=n),gap=(position[ut[u]]-position[x]) if ut[u]1 and parts[1]=='max' else 1 + noise=None + if len(parts)>2: + import random as _r;noise=_r.Random(int(parts[2])) + rows=[i for i,v2 in enumerate(ml) if v2>=0];rid={i:k for k,i in enumerate(rows)} + data=[];ri=[];ci=[] + for i in rows: + x=donors[i] + for u in adjacency[i]: + growth=len(uf[u])-len(initial[x]);ri.append(rid[i]);ci.append(u);data.append(1+sign*growth+(0 if sign>0 else 30)+(noise.random()*float(parts[3]) if noise else 0.0)) + M=csr_matrix((np.array(data,dtype=float),(np.array(ri),np.array(ci))),shape=(len(rows),len(uc))) + r_ind,c_ind=min_weight_full_bipartite_matching(M) + arcs=[[donors[rows[r]],uc[c]] for r,c in zip(r_ind,c_ind)] + stats.update(matched=len(arcs),total_growth=int(sum(len(uf[c])-len(initial[donors[rows[r]]]) for r,c in zip(r_ind,c_ind))),mincost=True) + hk_growth=int(sum(len(uf[v2])-len(initial[donors[i]]) for i,v2 in enumerate(ml) if v2>=0));stats['hk_growth']=hk_growth + return arcs,stats + diff --git a/research/complex-module-anneal/discovery/pr233/pairs_mw.py b/research/complex-module-anneal/discovery/pr233/pairs_mw.py new file mode 100644 index 0000000000..7e0db9777e --- /dev/null +++ b/research/complex-module-anneal/discovery/pr233/pairs_mw.py @@ -0,0 +1,42 @@ +"""Maximum-weight donor pairing for gauged recipients (weights depend on the donor only, so the +transversal-matroid greedy with augmenting paths is optimal). Explicit legality: donor ungauged non-root with ops, +last frame contained in the recipient gauge, donor dead before the recipient's first operation (or in phase one).""" +from collections import defaultdict +import sys +from paired_cube.frames import contained +def pairs_maxweight(o): + sys.setrecursionlimit(100000) + donors=[s for s in range(o.R) if s not in o.gauge and s not in o.roots and o.role_ops[s]] + recipients=sorted(o.gauge,key=lambda b:(o.position[o.role_ops[b][0]],b));rindex={b:i for i,b in enumerate(recipients)} + rtime=[o.position[o.role_ops[b][0]] for b in recipients] + byframe=defaultdict(list) + for s in donors:byframe[o.frames[o.role_ops[s][-1]]].append(s) + groups={} + adj=defaultdict(list) # donor -> recipient indices + for b in recipients: + F=o.gauge[b] + if F not in groups:groups[F]=[s for D,ss in byframe.items() if contained(D,F) for s in ss] + t=rtime[rindex[b]] + for s in groups[F]: + if o.position[o.role_ops[s][-1]]=dd else -1e9 + order=sorted(adj,key=lambda s:(-weight(s),o.position[o.role_ops[s][-1]],s)) + mr=[-1]*len(recipients);md={} + def dfs(s,seen): + for r in adj[s]: + if r in seen:continue + seen.add(r) + if mr[r]<0 or dfs(mr[r],seen):mr[r]=s;md[s]=r;return True + return False + for s in order: + if weight(s)<=0:break + dfs(s,set()) + result=[] + for r,s in enumerate(mr): + if s>=0: + b=recipients[r];first=o.role_ops[b][0] + result.append([s,b,None if o.role_ops[s][-1] in o.phase else first]) + stats=dict(donors=len(donors),recipients=len(recipients),edges=sum(map(len,adj.values())),matched=len(result),total_weight=sum(weight(s) for s,_,_ in result)) + return result,stats diff --git a/research/complex-module-anneal/discovery/pr233/physical_opt.py b/research/complex-module-anneal/discovery/pr233/physical_opt.py new file mode 100644 index 0000000000..a2e8e7d053 --- /dev/null +++ b/research/complex-module-anneal/discovery/pr233/physical_opt.py @@ -0,0 +1,127 @@ +#!/usr/bin/env python3 +"""New deterministic exact frame endpoints and legal late handoff discovery. + +Chafik Boukhalfa with OpenAI Codex assistance. Apache-2.0. +Builds on PR144 binary frame/word contract and PR157 physical reuse theorem. +Numerical excess weights only select witnesses; exact containment, histogram +and scalar checks must be independently replayed on the selected candidate. +""" +from collections import defaultdict,deque,Counter +from functools import lru_cache +import math +from paired_cube.frames import basis,perp,contained + +@lru_cache(maxsize=300000) +def join(A,B): + if contained(A,B):return B + if contained(B,A):return A + return basis(A+B) +@lru_cache(maxsize=300000) +def meet(A,B,h): + if contained(A,B):return A + if contained(B,A):return B + return perp(join(perp(A,h),perp(B,h)),h) + +class Physical: + def __init__(self,g,w,word,row): + self.g,self.w,self.word,self.row=g,w,word,row;self.h=g['h'];self.R=row['R'];self.v=g['v'];h=self.h + self.full=basis(1<1e-10 or abs(delta)<=1e-10 and len(best)=0: + b=recipients[j];first=self.role_ops[b][0] + result.append([d,b,None if self.role_ops[d][-1] in self.phase else first]) + return result,dict(donors=len(donors),recipients=L,edges=sum(map(len,adj)),matched=len(result),gauge_frames=len(groups),donor_frames=len(byframe)) + + def changed(self):return [[i,F] for i,F in enumerate(self.frames) if F!=self.original[i]] diff --git a/research/complex-module-anneal/gcert_emit.py b/research/complex-module-anneal/gcert_emit.py new file mode 100644 index 0000000000..fd5d56f651 --- /dev/null +++ b/research/complex-module-anneal/gcert_emit.py @@ -0,0 +1,318 @@ +#!/usr/bin/env python3 +"""gcert_emit.py: lower a source-aligned complex flow to Jacob Sussman's certificate format gcert/1. + +Inputs (all produced by the integer-mult-bounds tool chain of PR #184 / #194 on an aligned tree): + --cache the aligned tree's cache (graph.json, selection.json) + --flow flow.json (complex_frame_flow.py --witness) + --witness flow.witness.json (same run) + --lift lift.certificate.json.gz (exact_complex_flow_lift.py: local invertible completions as elementary gates) +Output: a gcert/1 JSON(.gz) as read by wht-power-saving-lean/tools/gx/gx.py (check1) and gxgen.py. + +Registers: x_j = j (sources, start at the port line), y_t = v+t (targets, start at frame 0, end at port^perp), +slots 2v.. (one per physical flow coordinate: v source copies + births; kernel reuse continues a slot). +Every node of the flow DAG (phase, frame) becomes, at its frame: the source copies (x -> slot), the reads +(slot -> targets, or a retained total for the scatter), then the lift's elementary gates. A 'swap' relabels +positions, a 'scale' changes the unit of a slot (wanted = lam * stored, as gxconv.py), an 'add' is one 'out' +gate. After phase 2: the paired-cube K blocks (1 - J/2) on each parity class of a cube, the direct reads of the +mixed sources into their antipodal targets at the target cap frames, and the inverse K blocks at the full frame. +""" +import argparse, gzip, json, heapq, sys, time +from collections import Counter, defaultdict +from fractions import Fraction as F + + +def load(p): + p = str(p) + if p.endswith('.gz'): + return json.loads(gzip.decompress(open(p, 'rb').read())) + return json.load(open(p)) + + +def rref(rows): + piv = {} + for x in rows: + for k in sorted(piv, reverse=True): + if x >> k & 1: + x ^= piv[k] + if x: + k = x.bit_length() - 1 + for kk in list(piv): + if piv[kk] >> k & 1: + piv[kk] ^= x + piv[k] = x + return tuple(piv[k] for k in sorted(piv, reverse=True)) + + +def perp(rows, h): + """basis of the orthogonal complement (standard dot product mod 2) of span(rows)""" + B = rref(rows) + piv = [b.bit_length() - 1 for b in B] + free = [k for k in range(h) if k not in piv] + out = [] + for k in free: + u = 1 << k + for b in B: + if b >> k & 1: + u |= 1 << (b.bit_length() - 1) + out.append(u) + return rref(out) + + +def enc(x): + x = F(x) + return [x.numerator, x.denominator] + + +def main(): + ap = argparse.ArgumentParser(description=__doc__) + ap.add_argument('--cache', required=True) + ap.add_argument('--flow', required=True) + ap.add_argument('--witness', required=True) + ap.add_argument('--lift', required=True) + ap.add_argument('--out', required=True) + ap.add_argument('--name', default='flow word') + a = ap.parse_args() + t0 = time.time() + g = load(a.cache + '/graph.json'); word = load(a.cache + '/selection.json') + prof = load(a.flow); wit = load(a.witness); lift = load(a.lift) + h, v = g['h'], g['v'] + ports = g['inputs'] + assert ports == wit['original_source_ports'] + nodes, edges, vectors = wit['nodes'], wit['edges'], wit['vectors'] + maps, order = lift['maps'], lift['topological_order'] + assert len(maps) == len(nodes) == len(order) + roots = g['roots'] + # ---- frames + frames = [(), tuple(1 << i for i in range(h - 1, -1, -1))] + fid = {frames[0]: 0, frames[1]: 1} + + def frame(rows): + key = rref(rows) + if key not in fid: + fid[key] = len(frames); frames.append(key) + return fid[key] + xstart = [frame((q,)) for q in ports] + caps = [frame(perp((q,), h)) for q in ports] + # ---- signed side rows of the deferred roles (as contract_v4.validate) + ops, coeff = word['ops'], word['opcoeff'] + Rw = max(max(x, y) for x, y, _ in ops) + 1 + selected = {s['role']: s for s in word['selected']} + side = [dict() for _ in range(Rw)] + for r, s in zip(roots, word['rootroles']): + if r['kind'] != 'center': + side[s] = {t: (1 if c == '1/2' else -1) for t, c in zip(r['targets'], r['coefficients'])} + + def add_scaled(dst, src, c): + for k, x in src.items(): + y = dst.get(k, 0) + c * x + if y: + dst[k] = y + else: + dst.pop(k, None) + for (x, y, _), (ca, cb) in zip(reversed(ops), reversed(coeff)): + add_scaled(side[y], side[x], cb) + if ca != 1: + side[x] = {j: ca * c for j, c in side[x].items()} + for s, z in selected.items(): + assert set(side[s]) == set(z['targets']) + + def responses(rd): + if rd['kind'] == 'side': + r = roots[rd['ref']] + return {t: F(1, 2) if c == '1/2' else F(-1, 2) for t, c in zip(r['targets'], r['coefficients'])} + assert rd['kind'] == 'deferred' + return {t: F(-c, 2) for t, c in side[rd['ref']].items()} + # ---- edge coordinates: (target node, input position) -> (source node, output position) + by_frame = {(n['frame'][0], tuple(n['frame'][1])): i for i, n in enumerate(nodes)} + out_off, in_off = Counter(), Counter() + coord_in = {} + for e in edges: + i = by_frame[(e['source'][0], tuple(e['source'][1]))]; j = by_frame[(e['target'][0], tuple(e['target'][1]))] + for k in range(len(e['basis'])): + coord_in[j, in_off[j] + k] = (i, out_off[i] + k) + out_off[i] += len(e['basis']); in_off[j] += len(e['basis']) + kernel_birth = {} + for i, aa, j, bb in wit['kernel_pairs']: + kernel_birth[j, bb] = (i, aa) + # ---- emission + A, B, ret = [], [], [] + nslot = 0 + lam = {} + + def new_slot(): + nonlocal nslot + s = 2 * v + nslot; nslot += 1; lam[s] = F(1) + return s + slot_out, kernel_slot = {}, {} + center_lam = {} + stats = Counter() + phase_of_node = {} + for i in order: + node, mp = nodes[i], maps[i] + ph, U = node['frame'] + f = frame(tuple(U)) + gates = A if ph == 1 else B + n, t, b, d, r = node['n'], node['t'], node['new_dirty'], node['d'], node['r'] + N = n + b + assert mp['size'] == N and not mp['source_erase'] and not mp['source_inject'], 'source controls not supported yet' + pos = [None] * N + nin = in_off[i] + g0_node = len(gates) + for p in range(n): + if p < nin: + pos[p] = slot_out[coord_in[i, p]] + else: # original source copy at its port line + row = vectors[node['inputs'][p]] + assert len(row) == 1 and row[0][1] == 1 and ph == 1 and f == xstart[row[0][0]] + s = new_slot(); pos[p] = s + gates.append(['out', f, row[0][0], [[s, 1, 1]], []]) + for q in range(b): + if (i, q) in kernel_birth: + s = kernel_slot[kernel_birth[i, q]]; lam[s] = F(1) + else: + s = new_slot() + pos[n + q] = s + # reads (in terms of the input positions, before the completion) + for rd, rc in zip(node['reads'], mp['read_coefficients']): + if rd['kind'] == 'center': + assert ph == 1 + k = roots[rd['ref']]['coordinate'] + val = rd['value'] + if val in node['outputs']: + assert len(rc) == 1 + center_lam[k] = (i, 'out', node['outputs'].index(val), F(rc[0][1], rc[0][2])) + else: + # the total is formed in place in one of its (retiring) input registers + assert t == 0 and not mp['inverse_gates'], ('center total neither leaves nor rests', i) + p0, n0, d0 = rc[0]; s0 = pos[p0]; c0 = F(n0, d0) * lam[s0] + for p, num, den in rc[1:]: + s = pos[p] + gates.append(['out', f, s, [[s0, *enc(F(num, den) * lam[s] / c0)]], []]) + center_lam[k] = (i, 'pos', p0, c0) + continue + assert ph == 2 + resp = responses(rd) + for p, num, den in rc: + s = pos[p] + c = F(num, den) * lam[s] + gates.append(['out', f, s, [[v + tt, *enc(c * w)] for tt, w in sorted(resp.items())], []]) + # completion gates: the lift stores the row operations taking Q to I; the registers need Q itself, + # i.e. the inverse operations in reverse order (exact_complex_flow_lift.inverse_program, 'forward'). + g0 = len(gates) + for kind, x, y, num, den in reversed(mp['inverse_gates']): + if kind == 'swap': + pos[x], pos[y] = pos[y], pos[x] + elif kind == 'scale': + assert x == y + lam[pos[x]] /= F(num, den) + else: + assert kind == 'add' and x != y + sx, sy = pos[x], pos[y] + c = -F(num, den) * lam[sy] / lam[sx] + gates.append(['out', f, sy, [[sx, *enc(c)]], []]) + # every coordinate that passes through the node is moved to its frame (the flow charges the edge): + # registers of inputs and births that no gate of this node names ride as extra registers + named = set() + for gg in gates[g0_node:]: + named.add(gg[2]); named.update(x_ for x_, _, _ in gg[3]) + if gg[0] == 'out': + named.update(gg[4]) + idle = [s_ for s_ in pos if s_ not in named] + if idle: + outs = [gg for gg in gates[g0_node:] if gg[0] == 'out'] + if outs: + outs[-1][4].extend(idle) + else: + stats['idle_nodes'] += 1 + gates.append(['out', f, idle[0], [], idle[1:]]) + for q in range(t): + slot_out[i, q] = pos[q] + for aa in range(node['retired'] - (d - r)): + kernel_slot[i, aa] = pos[t + (d - r) + aa] + # retained totals: the coordinate must survive the completion in one register + for k, z in list(center_lam.items()): + if isinstance(z, tuple) and z[0] == i: + ii, how, p, c = z + s = pos[p] + ret.append([k, s, f]); center_lam[k] = c * lam[s] if how == 'out' else c + R = nslot + assert R == prof['new_R'], (R, prof['new_R']) + ret.sort() + assert [z[0] for z in ret] == list(range(h)), 'one retained total per coordinate expected' + # ---- K blocks, direct reads, inverse K blocks + for cube in range(v // 8): + ids8 = list(range(8 * cube, 8 * cube + 8)) + for parity in range(2): + ids = [j for j in ids8 if j.bit_count() % 2 == parity] + S = frame(tuple(ports[j] for j in ids)) + assert len(frames[S]) == 3 + x1, rest = ids[0], ids[1:] + B.append(['in', S, x1, [[r_, 1, 1] for r_ in rest]]) + B.append(['out', S, x1, [[r_, -1, 2] for r_ in rest], []]) + B.append(['in', S, x1, [[r_, 1, 1] for r_ in rest]]) + for cube in range(v // 8): + ids8 = list(range(8 * cube, 8 * cube + 8)) + for j in ids8: + anti = [t for t in ids8 if (ports[t] ^ ports[j]).bit_count() == 6] + assert len(anti) == 1 + t = anti[0] + x1 = [jj for jj in ids8 if jj.bit_count() % 2 == j.bit_count() % 2][0] + B.append(['out', caps[t], j, [[v + t, -1 if j == x1 else 1, 1]], []]) + for cube in range(v // 8): + ids8 = list(range(8 * cube, 8 * cube + 8)) + for parity in range(2): + ids = [j for j in ids8 if j.bit_count() % 2 == parity] + x1, rest = ids[0], ids[1:] + B.append(['in', 1, x1, [[r_, -1, 1] for r_ in rest]]) + B.append(['out', 1, x1, [[r_, 1, 2] for r_ in rest], []]) + B.append(['in', 1, x1, [[r_, -1, 1] for r_ in rest]]) + # ---- scatter + sin, sout = F(1, 3), F(-1, 6) + if all(center_lam[k] == 1 for k in range(h)): + scat = dict(inside=[1, 3], outside=[-1, 6]) + else: + scat = dict(table=[[[k, *enc((sin if ports[t] >> k & 1 else sout) * center_lam[k])] for k in range(h)] for t in range(v)]) + nreg = 2 * v + R + start = [0] * nreg; final = [1] * nreg + for j in range(v): + start[j] = xstart[j]; final[v + j] = caps[j] + cst = sum(len(frames[f]) for _, _, f in ret) + # ---- blocks (the climb count of gx.check1) + dim = [len(f) for f in frames] + cur = list(start) + H = {'x': Counter(), 'y': Counter(), 's': Counter(), 'c': Counter()} + cls = lambda r_: 'x' if r_ < v else 'y' if r_ < 2 * v else 's' + + def climb(r_, f): + o = cur[r_] + if o != f: + assert dim[o] < dim[f], ('step not increasing', r_, o, f) + H[cls(r_)][dim[f] - dim[o]] += 1; cur[r_] = f + for ph, gates in (('A', A), ('B', B)): + if ph == 'B': + for k, s, f in ret: + assert cur[s] == f, ('retained slot moved before the cut', k, s) + H['c'][dim[f]] += 1 + for gg in gates: + regs = [gg[2]] + ([x for x, _, _ in gg[3]] + list(gg[4]) if gg[0] == 'out' else [x for x, _, _ in gg[3]] if gg[0] == 'in' else []) + for r_ in regs: + climb(r_, gg[1]) + for r_ in range(nreg): + climb(r_, final[r_]) + blocks = {k: {str(r_): n_ for r_, n_ in sorted(w.items())} for k, w in H.items()} + Nn = sum(r_ * n_ for w in H.values() for r_, n_ in w.items()) + assert Nn == R * h + 2 * v * (h - 1) + cst, (Nn, R * h + 2 * v * (h - 1) + cst) + c1 = dict(format='gcert/1', derived_from='%s (gcert_emit.py from complex_frame_flow.py witness + exact_complex_flow_lift.py completions)' % a.name, + p=g['p'], h=h, v=v, R=R, cst=cst, N=Nn, ports=ports, frames=[list(f) for f in frames], start=start, final=final, + ext=[], ret=ret, scat=scat, A=A, B=B, blocks=blocks) + data = json.dumps(c1, separators=(',', ':')).encode() + if a.out.endswith('.gz'): + open(a.out, 'wb').write(gzip.compress(data)) + else: + open(a.out, 'wb').write(data) + print(json.dumps(dict(R=R, N=Nn, cst=cst, idle_nodes=stats['idle_nodes'], gates_A=len(A), gates_B=len(B), frames=len(frames), blocks=blocks, + scatter='table' if 'table' in scat else 'star', seconds=round(time.time() - t0, 1)))) + + +if __name__ == '__main__': + main() diff --git a/research/complex-module-anneal/gx/gx.py b/research/complex-module-anneal/gx/gx.py new file mode 100644 index 0000000000..6d14c0a976 --- /dev/null +++ b/research/complex-module-anneal/gx/gx.py @@ -0,0 +1,296 @@ +#!/usr/bin/python3 -I +"""gx.py. OWN code (imports nothing of port-producer, nothing outside). +(1) convert(c0): gcert/0 (port-producer's event list) -> gcert/1, the LEAN-FACING NORMAL FORM: + only the main phase (no read0 / undo / uninj: the invocation theorem derives the dirt gate and the undo + gate from the product), every gate an elementary fan-out or fan-in add, the 4x4 K block written as three + such adds plus a sign carried by one register, the star scatter as a table. +(2) check1(c1): the local decidable conditions of EXTENDED-CERT-SPEC.md on a gcert/1 file: + E0 sizes, E1 labels (nested subspaces by containment, equal frame at a gate), E2 scatter cut, + E3 shape (kinds of gates; X1; S1), E4 bracket rule S2, E5 scalar (x-content replay: hid and X3), + E6 price data (block histograms, N), E7 exterior gauges only (Q2). Raises AssertionError(": ..."). +""" +from fractions import Fraction as Fr +from collections import Counter +from math import lcm + + +def need(c, msg): + if not c: + raise AssertionError(msg) + + +def reduce(u, basis): + """basis: reduced echelon, pivot = leading bit, descending. Returns u modulo the span.""" + for b in basis: + if u >> (b.bit_length() - 1) & 1: + u ^= b + return u + + +def echelon_ok(f): + piv = [b.bit_length() - 1 for b in f] + if any(b == 0 for b in f) or piv != sorted(piv, reverse=True) or len(set(piv)) != len(piv): + return False + return all(not (b >> p & 1) for i, b in enumerate(f) for j, p in enumerate(piv) if i != j) + + +def inside(a, b): + return all(reduce(u, b) == 0 for u in a) + + +def par(x): + return bin(x).count("1") & 1 + + +KJ = [[[1, 2] if i == j else [-1, 2] for j in range(4)] for i in range(4)] + + +def convert(c0): + need(c0["format"] == "gcert/0", "input is not gcert/0") + v, h, R = c0["v"], c0["h"], c0["R"] + ev = c0["events"] + cen = [n for n, e in enumerate(ev) if e[0] == "centre"] + need(cen == list(range(cen[0], cen[0] + len(cen))), "centres are not contiguous: no single scatter cut") + A, B, ret = [], [], [] + neg = set() # x registers currently holding MINUS their value (between the two K blocks) + openq = {} + for n, e in enumerate(ev): + k = e[0] + out = A if n < cen[0] else B + if k in ("read0", "undo", "uninj"): + continue + if k == "inj": + need(e[2] not in neg, "inj reads a negated x register") + out.append(["out", e[3], e[2], [[e[1], 1, 1]], []]) + elif k == "op": + if e[3] == -1: + out.append(["neg", e[5], e[1]]) + else: + need(e[3] == 1, "op ca") + out.append(["out", e[5], e[2], [[e[1], e[4], 1]], []]) + elif k == "centre": + ret.append([e[2], e[1], e[3]]) + elif k == "gread": + hit = set(t for t, _, _ in e[3]) + out.append(["out", e[2], e[1], [[v + t, a, b] for t, a, b in e[3]], [v + t for t in e[4] if t not in hit]]) + elif k == "rread": + out.append(["out", e[2], e[1], [[v + t, a, b] for t, a, b in e[3]], []]) + elif k == "ysh": + out.append(["out", e[4], e[2], [[e[1], e[3], 1]], []]) + elif k == "yw": + out.append(["out", e[4], e[2], [[e[1], e[3][0], e[3][1]]], []]) + elif k == "kd": + out.append(["out", e[3], e[2], [[e[1], -1 if e[2] in neg else 1, 1]], []]) + elif k == "ktr": + q = tuple(e[1]) + need(e[2] == KJ, "ktr matrix is not 1 - J/2") + x1, rest = q[0], list(q[1:]) + if q not in openq: # first block: x := M x, register x1 keeps the sign + out.append(["in", e[3], x1, [[r, 1, 1] for r in rest]]) + out.append(["out", e[3], x1, [[r, -1, 2] for r in rest], []]) + out.append(["in", e[3], x1, [[r, 1, 1] for r in rest]]) + openq[q] = n + neg.add(x1) + else: # second block: the three adds undone in reverse order + out.append(["in", e[3], x1, [[r, -1, 1] for r in rest]]) + out.append(["out", e[3], x1, [[r, 1, 2] for r in rest], []]) + out.append(["in", e[3], x1, [[r, -1, 1] for r in rest]]) + del openq[q] + neg.discard(x1) + else: + raise AssertionError("unknown event kind %r" % k) + need(not openq and not neg, "a K block is not closed") + ext = sorted([z[3], z[1]] for z in c0["gauge"] if z[5]) + c1 = dict(format="gcert/1", derived_from=c0["name"] + " (gcert/0)", p=c0["p"], h=h, v=v, R=R, cst=c0["cst"], + N=c0["N"], ports=c0["ports"], frames=c0["frames"], start=c0["start"], final=c0["final"], + ext=ext, ret=sorted(ret), scat=dict(inside=c0["scat"]["inside"], outside=c0["scat"]["outside"]), + A=A, B=B, blocks=c0["blocks"]) + return c1 + + +def scat_row(c, t): + """the scatter of target t: [(k, coefficient)], from the table or from the star rule""" + sc = c["scat"] + if "table" in sc: + return [(k, Fr(a, b)) for k, a, b in sc["table"][t]] + sin, sout = Fr(*sc["inside"]), Fr(*sc["outside"]) + return [(k, sin if c["ports"][t] >> k & 1 else sout) for k in range(c["h"])] + + +def gate_regs(g): + if g[0] == "neg": + return [g[2]], [], [] + if g[0] == "out": + return [g[2]] + [t for t, _, _ in g[3]] + list(g[4]), [(t, g[2], Fr(a, b)) for t, a, b in g[3]], g[4] + if g[0] == "in": + return [g[2]] + [s for s, _, _ in g[3]], [(g[2], s, Fr(a, b)) for s, a, b in g[3]], [] + raise AssertionError("E0: unknown gate kind %r" % (g[0],)) + + +def check1(c, scalar=True, stats=None): + need(c.get("format") == "gcert/1", "E0: format") + h, v, R = c["h"], c["v"], c["R"] + nreg = 2 * v + R + ports, fr = c["ports"], [tuple(f) for f in c["frames"]] + need(len(ports) == v == len(set(ports)) and all(par(q) and 0 < q < 1 << h for q in ports), "E0: ports") + need(fr[0] == () and fr[1] == tuple(1 << i for i in range(h - 1, -1, -1)), "E0: frames 0 and 1") + need(all(echelon_ok(f) for f in fr) and len(set(fr)) == len(fr), "E0: frame table not reduced echelon / repeats") + dim = [len(f) for f in fr] + start, final = c["start"], c["final"] + need(len(start) == len(final) == nreg, "E0: start / final") + ext = {r: f for r, f in c["ext"]} + for t in range(v): + need(fr[start[t]] == (ports[t],) and final[t] == 1, "E1: x start / final") + f = fr[final[v + t]] + need(start[v + t] == 0 and len(f) == h - 1 and all(par(u & ports[t]) == 0 for u in f), "E1: y start / final") + for r in range(2 * v, nreg): + need(start[r] == ext.get(r, 0) and final[r] == 1, "E1: slot start / final") + cls = lambda r: "x" if r < v else "y" if r < 2 * v else "s" + cur = list(start) + H = {"x": Counter(), "y": Counter(), "s": Counter(), "c": Counter()} + steps = set() + + def climb(r, f, where): + o = cur[r] + if o != f: + if (o, f) not in steps: + need(dim[o] < dim[f] and inside(fr[o], fr[f]), "E1: step not nested (%s, register %d)" % (where, r)) + steps.add((o, f)) + H[cls(r)][dim[f] - dim[o]] += 1 + cur[r] = f + okind = {("x", "s"), ("s", "s"), ("s", "y"), ("x", "y"), ("x", "x"), ("y", "y")} + ysum, piv, ytg = Counter(), set(), set() + inc = 0 + for ph, gates in (("A", c["A"]), ("B", c["B"])): + if ph == "B": # ---- E2: the scatter cut + need(sorted(k for k, _, _ in c["ret"]) == list(range(len(c["ret"]))), "E2: retained totals numbered 0..") + if "table" in c["scat"]: + need(len(c["scat"]["table"]) == v and all(0 <= k < len(c["ret"]) for row in c["scat"]["table"] for k, _, _ in row), + "E2: scatter table") + else: + need(len(c["ret"]) == h, "E2: one retained total per coordinate (star rule)") + for k, s, f in c["ret"]: + need(cls(s) == "s" and cur[s] == f, "E2: retained slot %d is not at its frame" % s) + H["c"][dim[f]] += 1 + need(all(cur[v + t] == 0 for t in range(v)), "E2: a y role left frame 0 before the scatter") + for i, g in enumerate(gates): + regs, pairs, _ = gate_regs(g) + need(all(0 <= r < nreg for r in regs) and len(set(regs)) == len(regs), "E3: registers of gate %s%d" % (ph, i)) + inc += len(regs) + for r in regs: + climb(r, g[1], "%s%d" % (ph, i)) + for t, s, co in pairs: + kd = (cls(s), cls(t)) + need(kd in okind, "E3: gate kind %s -> %s (gate %s%d)" % (kd + (ph, i))) + need(ph == "B" or kd in {("x", "s"), ("s", "s")}, "E3: bank gate before the scatter (gate A%d)" % i) + if kd == ("y", "y"): + ysum[s, t] += co + piv.add(s) + ytg.add(t) + need(ph == "B" or all(cls(r) != "y" for r in regs), "E2: y role named in phase A") + for r in range(nreg): + climb(r, final[r], "final") + need(not (piv & ytg), "E4: a pivot is the target of a gate reading y") + need(all(x == 0 for x in ysum.values()), "E4: y-reads of a (pivot, target) pair do not cancel") + Hs = {k: {str(r): n for r, n in sorted(w.items())} for k, w in H.items()} + need(Hs == c["blocks"], "E6: block histograms") + N = sum(r * n for w in H.values() for r, n in w.items()) + tails = sum(dim[f] for f in ext.values()) + need(N == c["N"] and N + tails == R * h + 2 * v * (h - 1) + c["cst"], "E6: N") + if stats is not None: + stats.update(steps=len(steps), incidences=inc, blocks=sum(sum(w.values()) for w in H.values()), + step_work=sum(dim[a] * dim[b] for a, b in steps), ysh_pairs=len(ysum)) + if scalar: + scal(c, stats) + q2(c) + return True + + +def scal(c, stats=None): + """E5: exact replay of the x-content of every register through A, scatter, B.""" + h, v, R = c["h"], c["v"], c["R"] + nreg = 2 * v + R + reg = [({r: Fr(1)} if r < v else {}) for r in range(nreg)] + den = {"x": 1, "y": 1, "s": 1} + mx = {"x": Fr(0), "y": Fr(0), "s": Fr(0)} + cls = lambda r: "x" if r < v else "y" if r < 2 * v else "s" + + def axpy(t, src, co): + d = reg[t] + for k, u in src.items(): + w = d.get(k, 0) + co * u + if w: + d[k] = w + kk = cls(t) + if w.denominator != 1: + den[kk] = lcm(den[kk], w.denominator) + if abs(w) > mx[kk]: + mx[kk] = abs(w) + else: + d.pop(k, None) + + def run(gates): + for g in gates: + if g[0] == "neg": + reg[g[2]] = {k: -u for k, u in reg[g[2]].items()} + elif g[0] == "out": + src = dict(reg[g[2]]) + for t, a, b in g[3]: + axpy(t, src, Fr(a, b)) + else: + for s, a, b in g[3]: + axpy(g[2], reg[s], Fr(a, b)) + run(c["A"]) + tot = {k: dict(reg[s]) for k, s, _ in c["ret"]} + for t in range(v): + for k, co in scat_row(c, t): + axpy(v + t, tot[k], co) + run(c["B"]) + need(all(reg[t] == {t: 1} for t in range(v)), "E5: an x role is not restored (X3)") + need(all(reg[v + t] == {t: 1} for t in range(v)), "E5: a target does not receive exactly its source (hid)") + if stats is not None: + stats.update(den=dict(den), maxabs={k: str(x) for k, x in mx.items()}, + gates_A=len(c["A"]), gates_B=len(c["B"])) + + +def q2(c): + """E7 (only for files with exterior gauges, rule (2)): for every slot q that starts off the zero frame, the + column of q in the y rows of the product is zero (its dirt is removed in line, the derived dirt gate at + frame 0 does not touch it). Replay with the gauged slots as variables, x = 0.""" + h, v, R = c["h"], c["v"], c["R"] + ext = [r for r, _ in c["ext"]] + if not ext: + return True + reg = [dict() for _ in range(2 * v + R)] + for r in ext: + reg[r] = {r: Fr(1)} + + def axpy(t, src, co): + d = reg[t] + for k, u in src.items(): + w = d.get(k, 0) + co * u + if w: + d[k] = w + else: + d.pop(k, None) + + def run(gates): + for g in gates: + if g[0] == "neg": + reg[g[2]] = {k: -u for k, u in reg[g[2]].items()} + elif g[0] == "out": + src = dict(reg[g[2]]) + for t, a, b in g[3]: + axpy(t, src, Fr(a, b)) + else: + for s, a, b in g[3]: + axpy(g[2], reg[s], Fr(a, b)) + run(c["A"]) + tot = {k: dict(reg[s]) for k, s, _ in c["ret"]} + for t in range(v): + for k, co in scat_row(c, t): + if tot[k]: + axpy(v + t, tot[k], co) + run(c["B"]) + need(all(not reg[v + t] for t in range(v)), "E7: the dirt of an exterior-gauged slot reaches a y role (Q2)") + return True diff --git a/research/complex-module-anneal/gx/gxcore.py b/research/complex-module-anneal/gx/gxcore.py new file mode 100644 index 0000000000..3e3f0a3076 --- /dev/null +++ b/research/complex-module-anneal/gx/gxcore.py @@ -0,0 +1,375 @@ +"""gxcore.py: gcert/1 JSON -> normal data D, PYTHON MIRROR of the two Lean checks +(label side: E0 frames, E1 pairs, E1/E2/E6 replay in segments; scalar side: E3 kinds, E4 bracket, E5 replay +in source batches, E7), derived data (distinct climbs, cut states, block histogram) and kernel sizes. +Own code; the reference is gx.py (check1), not imported. Python 3, standard library only.""" +import json, gzip +from collections import Counter +from math import gcd + + +class Reject(Exception): + pass + + +def need(c, msg): + if not c: + raise Reject(msg) + + +def load(path): + c = json.load(gzip.open(path, "rt") if path.endswith(".gz") else open(path)) + need(c.get("format") == "gcert/1", "E0: format is not gcert/1") + return c + + +def co(num, den): + need(den > 0, "E0: denominator") + return (num < 0, abs(num), den) + + +def normal(c): + """the Lean-facing data: gates as tuples, coefficients (neg, num, den), ret by total""" + def gate(g): + if g[0] == "out": + return ("out", g[1], g[2], [(t, co(a, b)) for t, a, b in g[3]], list(g[4])) + need(g[0] == "in", "E0: unknown gate kind %r" % (g[0],)) + return ("in", g[1], g[2], [(s, co(a, b)) for s, a, b in g[3]]) + ret = sorted(c["ret"]) + need([k for k, _, _ in ret] == list(range(len(ret))), "E2: retained totals numbered 0..") + sc = c["scat"] + scat = ("table", [[(k, co(a, b)) for k, a, b in row] for row in sc["table"]]) if "table" in sc else \ + ("star", co(*sc["inside"]), co(*sc["outside"])) + return dict(h=c["h"], v=c["v"], R=c["R"], N=c["N"], cst=c["cst"], ports=list(c["ports"]), + frames=[list(f) for f in c["frames"]], start=list(c["start"]), final=list(c["final"]), + ext=[tuple(e) for e in c.get("ext", [])], ret=[(s, f) for _, s, f in ret], scat=scat, + A=[gate(g) for g in c["A"]], B=[gate(g) for g in c["B"]], + blocks={k: {int(r): n for r, n in c["blocks"][k].items()} for k in "xysc"}) + + +def regs(g): + return [g[2]] + [t for t, _ in g[3]] + (g[4] if g[0] == "out" else []) + + +def adds(g): + """single adds (tgt, src, coef) in order""" + return [(t, g[2], k) for t, k in g[3]] if g[0] == "out" else [(g[2], s, k) for s, k in g[3]] + + +def reduce(u, basis): + for b in basis: + if u >> (b.bit_length() - 1) & 1: + u ^= b + return u + + +def echelon_ok(f): + piv = [b.bit_length() - 1 for b in f] + if any(b == 0 for b in f) or any(piv[i] <= piv[i + 1] for i in range(len(piv) - 1)): + return False + return all(not (b >> p & 1) for i, b in enumerate(f) for j, p in enumerate(piv) if i != j) + + +def par(x): + return bin(x).count("1") & 1 + + +def cls(D, r): + return "x" if r < D["v"] else "y" if r < 2 * D["v"] else "s" + + +# ---- label side ------------------------------------------------------------------------------------------ +def chk_frames(D): + """E0: ports; frame table reduced echelon, no repeats, zero first, full second""" + h, v, fr = D["h"], D["v"], D["frames"] + p = D["ports"] + need(len(p) == v == len(set(p)) and all(par(q) and 0 < q < 1 << h for q in p), "E0: ports") + need(len(fr) >= 2 and fr[0] == [] and fr[1] == [1 << i for i in range(h - 1, -1, -1)], "E0: frames 0 and 1") + need(all(echelon_ok(f) and all(b < 1 << h for b in f) for f in fr), "E0: frame table not reduced echelon") + need(len(set(map(tuple, fr))) == len(fr), "E0: frame table has repeats") + return [len(f) for f in fr] + + +def derive(D): + """distinct climbs in order of first use (NOT a check: plain replay of the frame ids)""" + cur, seen, pairs = list(D["start"]), set(), [] + + def go(r, f): + o = cur[r] + if o != f: + if (o, f) not in seen: + seen.add((o, f)) + pairs.append((o, f)) + cur[r] = f + for g in D["A"] + D["B"]: + for r in regs(g): + go(r, g[1]) + for r, f in enumerate(D["final"]): + go(r, f) + return pairs + + +def chk_pairs(D, dim, pairs): + """E1, level 2: every listed pair is a nested pair of the table; returns the mask-operation count""" + fr, n, work = D["frames"], len(D["frames"]), 0 + for a, b in pairs: + need(a < n and b < n and dim[a] < dim[b], "E1: pair (%d, %d) does not climb" % (a, b)) + need(all(reduce(u, fr[b]) == 0 for u in fr[a]), "E1: pair (%d, %d) is not nested" % (a, b)) + work += dim[a] * dim[b] + return work + + +def cut_points(D, gmax, wmax=210000): + """replay segments: each phase (A, B) is cut into k pieces of equal gate count, k = the least number with at + most `gmax` gates AND at most `wmax` work per piece on average (work = sum over gates of the dimension of the + gate's frame; measured at h = 22: about 1 ms of kernel time per unit, NOTES.md). + Cut points = gate counts in A ++ B (always 0, |A| and the end).""" + nA, nB = len(D["A"]), len(D["B"]) + cuts = [0] + for off, gs in ((0, D["A"]), (nA, D["B"])): + n = len(gs) + k = max(1, -(-n // gmax), -(-sum(len(D["frames"][g[1]]) for g in gs) // wmax)) + cuts += [off + (n * i) // k for i in range(1, k + 1)] + return sorted(set(cuts)) + + +def label_data(D, dim, cuts): + """for gx-labels (gcert-interface.md LABELS v1): ordered block ranks per replay segment, the final climbs as + gates without adds (same final frame, at most 32 registers, only registers that still climb), their ranks, + the largest number of registers named by one gate. Plain replay (the mirror has accepted the file).""" + cur, G = list(D["start"]), D["A"] + D["B"] + rs, most = [], 0 + for a, b in zip(cuts, cuts[1:]): + r = [] + for g in G[a:b]: + most = max(most, len(regs(g))) + for x in regs(g): + if cur[x] != g[1]: + r.append(dim[g[1]] - dim[cur[x]]) + cur[x] = g[1] + rs.append(r) + by = {} + for x, f in enumerate(D["final"]): + if cur[x] != f: + by.setdefault(f, []).append(x) + fins, rF = [], [] + for f in sorted(by): + for i in range(0, len(by[f]), 32): + xs = by[f][i:i + 32] + fins.append(("out", f, xs[0], [], xs[1:])) + rF += [dim[f] - dim[cur[x]] for x in xs] + return dict(rs=rs, fins=fins, rF=rF, most=max(most, 32 if fins else 0)) + + +def chk_replay(D, dim, pairs, cuts): + """E1 (labels), E2 (scatter cut), E6 (price), in the segments given by `cuts`. + Returns (states at the cuts, histogram by class, visits per segment).""" + h, v, R, fr = D["h"], D["v"], D["R"], D["frames"] + n = 2 * v + R + start, final, ext = D["start"], D["final"], dict(D["ext"]) + need(len(start) == len(final) == n, "E0: start / final") + for t in range(v): + need(fr[start[t]] == [D["ports"][t]] and final[t] == 1, "E1: x start / final") + f = fr[final[v + t]] + need(start[v + t] == 0 and len(f) == h - 1 and all(par(u & D["ports"][t]) == 0 for u in f), "E1: y start / final") + for r in range(2 * v, n): + need(start[r] == ext.get(r, 0) and final[r] == 1, "E1: slot start / final") + ok = set(pairs) + need(len(ok) == len(pairs), "E1: pair list has repeats") + cur = list(start) + H = {k: Counter() for k in "xysc"} + + def climb(r, f, where): + o = cur[r] + if o != f: + need((o, f) in ok, "E1: climb (%d, %d) is not a tested pair (%s, register %d)" % (o, f, where, r)) + H[cls(D, r)][dim[f] - dim[o]] += 1 + seg[dim[f] - dim[o]] += 1 + cur[r] = f + seg, segs = Counter(), [] + G, nA = D["A"] + D["B"], len(D["A"]) + states, visits = [], [] + need(cuts[0] == 0 and cuts[-1] == len(G) and cuts == sorted(cuts), "cut points") + for a, b in zip(cuts, cuts[1:]): + states.append(list(cur)) + vs = 0 + for i in range(a, b): + if i == nA: + scatter_cut(D, cur, dim, H, seg) + g = G[i] + rs = regs(g) + need(all(0 <= r < n for r in rs) and len(set(rs)) == len(rs), "E3: registers of gate %d" % i) + need(i >= nA or all(r < v or r >= 2 * v for r in rs), "E2: y role named in phase A (gate %d)" % i) + vs += len(rs) + for r in rs: + climb(r, g[1], "gate %d" % i) + visits.append(vs) + if b < len(G): + segs.append(seg) + seg = Counter() + if nA == len(G): + scatter_cut(D, cur, dim, H, seg) + states.append(list(cur)) + for r in range(n): + climb(r, final[r], "final") + segs.append(seg) + Hb = {k: dict(sorted(w.items())) for k, w in H.items()} + need(Hb == D["blocks"], "E6: block histogram differs from `blocks`") + N = sum(r * c for w in H.values() for r, c in w.items()) + need(N == D["N"] and N + sum(dim[f] for f in ext.values()) == R * h + 2 * v * (h - 1) + D["cst"], "E6: N") + need(sum(r * c for r, c in H["c"].items()) == D["cst"], "E6: cst") + return states, Hb, visits, [[w[r] for r in range(h + 1)] for w in segs] + + +def scatter_cut(D, cur, dim, H, seg): + v = D["v"] + if D["scat"][0] == "table": + need(len(D["scat"][1]) == v and all(k < len(D["ret"]) for row in D["scat"][1] for k, _ in row), "E2: scatter table") + else: + need(len(D["ret"]) == D["h"], "E2: one retained total per coordinate (star rule)") + for s, f in D["ret"]: + need(s >= 2 * v and cur[s] == f, "E2: retained slot %d is not at its frame" % s) + H["c"][dim[f]] += 1 + seg[dim[f]] += 1 + need(all(cur[v + t] == 0 for t in range(v)), "E2: a y role left frame 0 before the scatter") + + +# ---- scalar side ----------------------------------------------------------------------------------------- +SC = 6 # all scalar entries are kept as integers in units of 1/6 +KINDS = {("x", "s"), ("s", "s"), ("s", "y"), ("x", "y"), ("x", "x"), ("y", "y")} + + +def chk_shape(D): + """E3 kinds, E4 bracket""" + ysum, piv, ytg = Counter(), set(), set() + for ph in "AB": + for i, g in enumerate(D[ph]): + for t, s, (ng, a, b) in adds(g): + kd = (cls(D, s), cls(D, t)) + need(kd in KINDS and t != s, "E3: gate kind %s -> %s (gate %s%d)" % (kd + (ph, i))) + need(ph == "B" or kd in {("x", "s"), ("s", "s")}, "E3: bank gate before the scatter (gate A%d)" % i) + if kd == ("y", "y"): + need(SC % b == 0, "E4: denominator beyond sixths") + ysum[s, t] += (-a if ng else a) * (SC // b) + piv.add(s) + ytg.add(t) + need(not (piv & ytg), "E4: a pivot is the target of a gate reading y") + need(all(x == 0 for x in ysum.values()), "E4: y-reads of a (pivot, target) pair do not cancel") + return len(ysum) + + +def scat_row(D, t): + sc = D["scat"] + if sc[0] == "table": + return sc[1][t] + return [(k, sc[1] if D["ports"][t] >> k & 1 else sc[2]) for k in range(D["h"])] + + + +def replay(D, init, count=None): + """exact replay through A, scatter, B of sparse vectors with entries in sixths; `init` = register -> {key: 6}""" + v = D["v"] + reg = [dict(init.get(r, ())) for r in range(2 * v + D["R"])] + + def axpy(t, src, k): + ng, a, b = k + d = reg[t] + for key, u in src.items(): + w = u * a + need(w % b == 0, "E5: an entry needs a denominator beyond sixths (register %d)" % t) + w = w // b + w = d.get(key, 0) + (-w if ng else w) + if count is not None: + count[key] += 1 + if w: + d[key] = w + else: + d.pop(key, None) + + def run(gates): + for g in gates: + if g[0] == "out": + src = dict(reg[g[2]]) + for t, k in g[3]: + axpy(t, src, k) + else: + for s, k in g[3]: + axpy(g[2], reg[s], k) + run(D["A"]) + afterA = sum(len(d) for d in reg) + tot = [dict(reg[s]) for s, _ in D["ret"]] + for t in range(v): + for k, cf in scat_row(D, t): + if tot[k]: + axpy(v + t, tot[k], cf) + run(D["B"]) + return reg, afterA + + +def chk_scalar(D, batches=1): + """E5 (+ E7 when `ext` is non-empty). Returns stats: denominators and largest numerators per class in the + units of the spec (x halves, y sixths, slots integers), updates per source batch, entries after A.""" + v = D["v"] + count = Counter() + reg, afterA = replay(D, {t: {t: SC} for t in range(v)}, count) + need(all(reg[t] == {t: SC} for t in range(v)), "E5: an x role is not restored (X3)") + need(all(reg[v + t] == {t: SC} for t in range(v)), "E5: a target does not receive exactly its source (hid)") + if D["ext"]: + rg, _ = replay(D, {r: {r: SC} for r, _ in D["ext"]}) + need(all(not rg[v + t] for t in range(v)), "E7: the dirt of an exterior-gauged slot reaches a y role") + step = -(-v // batches) + per = [sum(count[k] for k in range(lo, min(lo + step, v))) for lo in range(0, v, step)] + return dict(updates=sum(count.values()), per_batch=per, afterA=afterA, + batches=[(lo, min(lo + step, v)) for lo in range(0, v, step)]) + + +def digits(D): + """largest |entry| met and denominators per class, by a second replay that watches every write (slow path + kept separate from the check): returns {class: (lcm of denominators, largest |numerator| in units 1/den)}""" + v = D["v"] + den = {"x": 1, "y": 1, "s": 1} + mx = {"x": 0, "y": 0, "s": 0} + reg = [({r: SC} if r < v else {}) for r in range(2 * v + D["R"])] + + def axpy(t, src, k): + ng, a, b = k + d, kk = reg[t], cls(D, t) + for key, u in src.items(): + w = d.get(key, 0) + (-(u * a // b) if ng else u * a // b) + if w: + d[key] = w + q = SC // gcd(w, SC) + if den[kk] % q: + den[kk] = den[kk] * q // gcd(den[kk], q) + if abs(w) > mx[kk]: + mx[kk] = abs(w) + else: + d.pop(key, None) + for g in D["A"]: + for t, s, k in adds(g): + axpy(t, reg[s], k) + tot = [dict(reg[s]) for s, _ in D["ret"]] + for t in range(v): + for k, cf in scat_row(D, t): + axpy(v + t, tot[k], cf) + for g in D["B"]: + for t, s, k in adds(g): + axpy(t, reg[s], k) + return {k: (den[k], mx[k] * den[k] // SC if (mx[k] * den[k]) % SC == 0 else "%d/6" % mx[k]) for k in "xys"} + + +def mirror(D, gmax=12000, batches=1, pairs=None, cuts=None): + """both checks; returns everything the generator and the dry run need""" + dim = chk_frames(D) + pairs = derive(D) if pairs is None else pairs + work = chk_pairs(D, dim, pairs) + cuts = cut_points(D, gmax) if cuts is None else cuts + states, H, visits, segH = chk_replay(D, dim, pairs, cuts) + ysh = chk_shape(D) + S = chk_scalar(D, batches) + hist = Counter() + for k in "xysc": + for r, n in H[k].items(): + hist[r] += n + return dict(dim=dim, pairs=pairs, pair_work=work, cuts=cuts, states=states, H=H, visits=visits, ysh=ysh, + scal=S, hist=dict(sorted(hist.items())), segH=segH, + lab=label_data(D, dim, cuts)) diff --git a/research/complex-module-anneal/layers/cmod/kernel-pairs-mw.json b/research/complex-module-anneal/layers/cmod/kernel-pairs-mw.json new file mode 100644 index 0000000000..b41b6c69ce --- /dev/null +++ b/research/complex-module-anneal/layers/cmod/kernel-pairs-mw.json @@ -0,0 +1 @@ +{"description":"Frozen kernel pairs of the frame flow on this layer (complex_frame_flow.py --witness --recycle-kernels).","kernel_pairs":[]} diff --git a/research/complex-module-anneal/layers/cmod/kernel-pairs-parity.json b/research/complex-module-anneal/layers/cmod/kernel-pairs-parity.json new file mode 100644 index 0000000000..b41b6c69ce --- /dev/null +++ b/research/complex-module-anneal/layers/cmod/kernel-pairs-parity.json @@ -0,0 +1 @@ +{"description":"Frozen kernel pairs of the frame flow on this layer (complex_frame_flow.py --witness --recycle-kernels).","kernel_pairs":[]} diff --git a/research/complex-module-anneal/layers/cmod/matching-arcs.json b/research/complex-module-anneal/layers/cmod/matching-arcs.json new file mode 100644 index 0000000000..ff3a3668d6 --- /dev/null +++ b/research/complex-module-anneal/layers/cmod/matching-arcs.json @@ -0,0 +1 @@ +{"description":"Frozen carrier arcs of the source-aligned word (discovery/make_layer.py step 2): deterministic HK carrier matching (PR200/233 harness, ordering reverse) on query donors plus PR162 extension; checked by 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diff --git a/research/complex-module-anneal/layers/cmod/physical-frames.json b/research/complex-module-anneal/layers/cmod/physical-frames.json new file mode 100644 index 0000000000..0e2a63fb9a --- /dev/null +++ b/research/complex-module-anneal/layers/cmod/physical-frames.json @@ -0,0 +1 @@ +{"description":"Frozen operation frames (source_aligned_local_v4.py canonical form: operations whose frame differs from the closure frame), from PR200 descent on the aligned word and the script's forward 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diff --git a/research/complex-module-anneal/layers/cmod/physical-pairs-mw.json b/research/complex-module-anneal/layers/cmod/physical-pairs-mw.json new file mode 100644 index 0000000000..e977c57673 --- /dev/null +++ b/research/complex-module-anneal/layers/cmod/physical-pairs-mw.json @@ -0,0 +1 @@ +{"description":"Frozen reuse pairs [donor, recipient, deadline]: PR200/233 maximum-weight late compensated pairing (pairs_mw.py) with the last late pair moved to the phase 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diff --git a/research/complex-module-anneal/layers/cmod/physical-pairs-parity.json b/research/complex-module-anneal/layers/cmod/physical-pairs-parity.json new file mode 100644 index 0000000000..dddb6bd181 --- /dev/null +++ b/research/complex-module-anneal/layers/cmod/physical-pairs-parity.json @@ -0,0 +1 @@ +{"description":"Frozen reuse pairs [donor, recipient, deadline]: PR193 recipe (source_aligned_local_v4.py --avoid-parity-erasure minimum-weight full matching), in the script's control 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diff --git a/research/complex-module-anneal/layers/pr168-v4/kernel-pairs-mw.json b/research/complex-module-anneal/layers/pr168-v4/kernel-pairs-mw.json new file mode 100644 index 0000000000..b41b6c69ce --- /dev/null +++ b/research/complex-module-anneal/layers/pr168-v4/kernel-pairs-mw.json @@ -0,0 +1 @@ +{"description":"Frozen kernel pairs of the frame flow on this layer (complex_frame_flow.py --witness --recycle-kernels).","kernel_pairs":[]} diff --git a/research/complex-module-anneal/layers/pr168-v4/kernel-pairs-parity.json b/research/complex-module-anneal/layers/pr168-v4/kernel-pairs-parity.json new file mode 100644 index 0000000000..b41b6c69ce --- /dev/null +++ b/research/complex-module-anneal/layers/pr168-v4/kernel-pairs-parity.json @@ -0,0 +1 @@ +{"description":"Frozen kernel pairs of the frame flow on this layer (complex_frame_flow.py --witness --recycle-kernels).","kernel_pairs":[]} diff --git a/research/complex-module-anneal/layers/pr168-v4/matching-arcs.json b/research/complex-module-anneal/layers/pr168-v4/matching-arcs.json new file mode 100644 index 0000000000..46af3492ed --- /dev/null +++ b/research/complex-module-anneal/layers/pr168-v4/matching-arcs.json @@ -0,0 +1 @@ +{"description":"Frozen carrier arcs of the source-aligned word (discovery/make_layer.py step 2): deterministic HK carrier matching (PR200/233 harness, ordering reverse) on query donors plus PR162 extension; checked by 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diff --git a/research/complex-module-anneal/layers/pr168-v4/physical-frames.json b/research/complex-module-anneal/layers/pr168-v4/physical-frames.json new file mode 100644 index 0000000000..2eefa7748e --- /dev/null +++ b/research/complex-module-anneal/layers/pr168-v4/physical-frames.json @@ -0,0 +1 @@ +{"description":"Frozen operation frames (source_aligned_local_v4.py canonical form: operations whose frame differs from the closure frame), from PR200 descent on the aligned word and the script's forward 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diff --git a/research/complex-module-anneal/layers/pr168-v4/physical-pairs-mw.json b/research/complex-module-anneal/layers/pr168-v4/physical-pairs-mw.json new file mode 100644 index 0000000000..651a3064d1 --- /dev/null +++ b/research/complex-module-anneal/layers/pr168-v4/physical-pairs-mw.json @@ -0,0 +1 @@ +{"description":"Frozen reuse pairs [donor, recipient, deadline]: PR200/233 maximum-weight late compensated pairing (pairs_mw.py) with the last late pair moved to the phase 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diff --git a/research/complex-module-anneal/layers/pr168-v4/physical-pairs-parity.json b/research/complex-module-anneal/layers/pr168-v4/physical-pairs-parity.json new file mode 100644 index 0000000000..0c8c14ec10 --- /dev/null +++ b/research/complex-module-anneal/layers/pr168-v4/physical-pairs-parity.json @@ -0,0 +1 @@ +{"description":"Frozen reuse pairs [donor, recipient, deadline]: PR193 recipe (source_aligned_local_v4.py --avoid-parity-erasure minimum-weight full matching), in the script's control 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indexed by J sums input I exactly when I and J are disjoint.","source":"agent-cmod ctsa annealing of the complex compile ledger"} \ No newline at end of file diff --git a/research/complex-module-anneal/normalize_scatter.py b/research/complex-module-anneal/normalize_scatter.py new file mode 100644 index 0000000000..4f62515895 --- /dev/null +++ b/research/complex-module-anneal/normalize_scatter.py @@ -0,0 +1,106 @@ +#!/usr/bin/env python3 +"""normalize_scatter.py: write the scatter of a gcert/1 program as the star rule by re-signing retained totals. + +gcert_emit.py (PR #256, vendored unchanged) keeps every slot in a unit lam (wanted = lam * stored, the convention of +Sussman's gxconv.py). When the exact lift leaves a retained total k in a register whose unit lam_k is not 1, the +emitter writes the scatter as a table: row t, column k is the star coefficient (1/3 if coordinate k lies in port t, +-1/6 otherwise) times lam_k. The five-stage packages' complex code reads the star rule only. If every lam_k is +1 or +-1, flipping the sign convention of the registers with lam_k = -1 over the whole program (P -> D P D with +D = diag(+-1)) gives the same map from sources to targets with the star rule: every gate coefficient on an edge +with exactly one endpoint in a flipped register is negated, and the scatter column of a flipped total becomes the +star column. Registers, frames, gates, start and final labels, retained totals, blocks and N are unchanged; only +coefficient signs, the scatter field and the derived_from note change. A program already in star form is returned +unchanged. verify.py runs gx.check1 (and Sussman's gxcore mirror) on the result and compares it with the input. + +Prepared by DreamingOfClouds with Anthropic Claude assistance (Apache-2.0). +usage: normalize_scatter.py IN.json[.gz] OUT.json[.gz] +""" +import copy +import gzip +import json +import sys +from fractions import Fraction as Q + +if sys.flags.optimize: + raise SystemExit('Assertions must remain enabled: run without -O') +STAR = dict(inside=[1, 3], outside=[-1, 6]) + + +def star(c, t, k): + return Q(1, 3) if c['ports'][t] >> k & 1 else Q(-1, 6) + + +def units(c): + """lam_k of every retained total, read off a table scatter (None for a star scatter)""" + sc = c['scat'] + if 'table' not in sc: + assert sc == STAR, 'a star scatter must be 1/3 inside, -1/6 outside' + return None + h, v = c['h'], c['v'] + assert len(sc['table']) == v + lam = {} + for t, row in enumerate(sc['table']): + assert [k for k, _, _ in row] == list(range(h)), 'table row %d does not list the coordinates 0..h-1 in order' % t + for k, a, b in row: + q = Q(a, b) / star(c, t, k) + assert lam.setdefault(k, q) == q, 'column %d is not the star column times one unit' % k + return lam + + +def normalize(c): + lam = units(c) + if lam is None: + return c, dict(raw_scatter='star', flipped_coordinates=[], flipped_registers=[], changed_gates=0, changed_coefficients=0) + assert all(q in (1, -1) for q in lam.values()), 'units other than +-1 cannot be normalized by a sign flip: %s' % lam + v = c['v'] + ret = {k: s for k, s, _ in c['ret']} + assert sorted(ret) == list(range(c['h'])) and len(set(ret.values())) == len(ret), 'one retained total per coordinate' + flip = {ret[k] for k, q in lam.items() if q == -1} + assert all(s >= 2 * v for s in flip), 'only slots are re-signed' + c2 = copy.deepcopy(c) + gates = coefficients = 0 + for ph in ('A', 'B'): + for g in c2[ph]: + assert g[0] in ('out', 'in'), 'gate kind %r' % (g[0],) + pivot = g[2] in flip + hit = False + for term in g[3]: + if pivot != (term[0] in flip): # exactly one endpoint of this edge is re-signed + term[1] = -term[1] + coefficients += 1 + hit = True + gates += hit + c2['scat'] = dict(STAR) + c2['derived_from'] = c['derived_from'] + ' + normalize_scatter.py (registers %s re-signed; star scatter)' % sorted(flip) + return c2, dict(raw_scatter='table', flipped_coordinates=sorted(k for k, q in lam.items() if q == -1), + flipped_registers=sorted(flip), changed_gates=gates, changed_coefficients=coefficients) + + +def same_shape(a, b): + """True when two programs differ at most in coefficient signs, the scatter and derived_from""" + keys = set(a) | set(b) + for k in keys - {'A', 'B', 'scat', 'derived_from'}: + if a.get(k) != b.get(k): + return False + for ph in ('A', 'B'): + if len(a[ph]) != len(b[ph]): + return False + for g, h in zip(a[ph], b[ph]): + if g[:3] != h[:3] or g[4:] != h[4:] or len(g[3]) != len(h[3]): + return False + if any(x[0] != y[0] or x[2] != y[2] or abs(x[1]) != abs(y[1]) for x, y in zip(g[3], h[3])): + return False + return True + + +def main(): + src, dst = sys.argv[1:3] + raw = gzip.decompress(open(src, 'rb').read()) if src.endswith('.gz') else open(src, 'rb').read() + c2, report = normalize(json.loads(raw)) + data = json.dumps(c2, separators=(',', ':')).encode() + open(dst, 'wb').write(gzip.compress(data) if dst.endswith('.gz') else data) + print(json.dumps(report)) + + +if __name__ == '__main__': + main() diff --git a/research/complex-module-anneal/paircheck.py b/research/complex-module-anneal/paircheck.py new file mode 100644 index 0000000000..673cc0a684 --- /dev/null +++ b/research/complex-module-anneal/paircheck.py @@ -0,0 +1,165 @@ +#!/usr/bin/env python3 +"""paircheck.py: standalone re-check of the compensated reuse pairs of a written aligned tree. + +Reads only the written word (cache/{graph,frames,selection}.json, references/paired-cube/physical/{frames,pairs}.json) +and re-verifies the pairs independently of the code that chose them and of aligned_word.py: + kinds: the donor is an ungauged, non-root role with operations; the recipient is a selected (rank h-4) gauge; + pairs are one-to-one and every selected gauge is paired (no live external gauge); + chronology: early pair (deadline None): the donor's last operation in phase 1, the recipient's first after the cut; + late pair: deadline = the recipient's first operation (phase 2), the donor's last operation strictly + before it in the executed order (phase 1, then phase 2 in index order), i.e. the donor is dead before the + recipient's old-value read; + frames: the donor's last physical frame lies inside the recipient's gauge frame; + parity: no pair is erasable by PR #184's --purify-source-donors (donor last frame of rank <= 3 inside a cube + parity 3-space inside the recipient gauge). +Five mutation controls must each be rejected for the condition they break (every violated condition is listed): +a late recipient given an unused donor still alive at its read; an unused donor with legal timing whose last frame +lies outside the gauge (frame containment alone); a duplicated pair; an unpaired gauge; an unused donor with legal +timing whose last frame is parity-erasable (erasability alone). +Prepared by DreamingOfClouds with Anthropic Claude assistance (Apache-2.0); uses the rebuilt tree's +scripts/paired_cube/frames.py only for basis/perp/containment. +usage: paircheck.py --root PR202_TREE WORD_TREE [WORD_TREE ...] (prints one JSON line per word tree)""" +import argparse +import json +import sys +from pathlib import Path + +if sys.flags.optimize: + raise SystemExit('Assertions must remain enabled: run without -O') + + +def check(tree, mutate=None): + from paired_cube.frames import basis, perp, contained + tree = Path(tree) + rd = lambda p: json.loads((tree / p).read_text()) + g, w, word = rd('cache/graph.json'), rd('cache/frames.json'), rd('cache/selection.json') + moved = rd('references/paired-cube/physical/frames.json')['frames'] + pairs = rd('references/paired-cube/physical/pairs.json')['pairs'] + h, v = g['h'], g['v'] + ops = word['ops'] + frames = [perp(tuple(w['annihilators'][x]), h) for _, _, x in ops] + for i, F in moved: + frames[i] = tuple(F) + pset = set(word['phase1']) + order = sorted(pset) + [i for i in range(len(ops)) if i not in pset] + pos = {i: k for k, i in enumerate(order)} + role_ops = {} + for i in order: + a, b, _ = ops[i] + role_ops.setdefault(a, []).append(i) + role_ops.setdefault(b, []).append(i) + gauge = {z['role']: perp(tuple(z['annihilator']), h) for z in word['selected']} + assert all(z['rank'] == h - 4 for z in word['selected']), 'non rank-(h-4) gauge kept' + roots = set(word['rootroles']) + parity = [] + for cube in range(v // 8): + for bit in range(2): + parity.append(basis(tuple(g['inputs'][8 * cube + j] for j in range(8) if j.bit_count() % 2 == bit))) + erasable_pair = lambda U, V: len(U) <= 3 and any(contained(U, S) and contained(S, V) for S in parity) + if mutate is not None: + pairs = mutate([list(p) for p in pairs], dict(frames=frames, pos=pos, role_ops=role_ops, gauge=gauge, roots=roots, + pset=pset, contained=contained, erasable=erasable_pair)) + bad = [] + donors, recips = set(), set() + late = early = erasable = 0 + for d, b, t in pairs: + if d in donors or b in recips: + bad.append(('not one-to-one', d, b)) + donors.add(d) + recips.add(b) + if d in gauge or d in roots or d not in role_ops: + bad.append(('donor kind', d)) + if b not in gauge: + bad.append(('recipient kind', b)) + continue + last, first = role_ops[d][-1], role_ops[b][0] + if t is None: + early += 1 + if not (last in pset and first not in pset): + bad.append(('early chronology', d, b)) + else: + late += 1 + if not (t == first and t not in pset and pos[last] < pos[t]): + bad.append(('late chronology', d, b, t)) + if not contained(frames[last], gauge[b]): + bad.append(('donor frame outside gauge', d, b)) + if erasable_pair(frames[last], gauge[b]): + erasable += 1 + unpaired = set(gauge) - recips + if unpaired: + bad.append(('live external gauges', len(unpaired))) + return dict(pairs=len(pairs), early=early, late=late, gauges=len(gauge), erasable=erasable, + violations=len(bad), kinds=sorted({x[0] for x in bad}), first_violations=bad[:5], + status='PASS' if not bad and not erasable else 'FAIL') + + +def controls(tree): + """five mutations; each must be rejected for the condition it breaks (all violated conditions are listed)""" + def free_donors(pairs, c): + used = {p[0] for p in pairs} + return [(d, ops[-1]) for d, ops in sorted(c['role_ops'].items()) if d not in used and d not in c['gauge'] and d not in c['roots']] + + def legal_timing(last, b, t, c): + first = c['role_ops'][b][0] + return last in c['pset'] if t is None else (t == first and c['pos'][last] < c['pos'][t]) + + def swap(pairs, c, *wants): + # replace the donor of some pair by an unused donor chosen by the first satisfiable predicate + # want(last frame, gauge, last op, recipient, deadline) + free = free_donors(pairs, c) + for want in wants: + for k, (d, b, t) in enumerate(pairs): + for d2, last in free: + if want(c['frames'][last], c['gauge'][b], last, b, t): + pairs[k] = [d2, b, t] + return pairs + raise RuntimeError('no control instance') + + def late_before_death(pairs, c): + # a late recipient gets an unused donor that is still alive at the recipient's read; a donor whose frame also + # fits the gauge is preferred (none exists on the committed words, so the frame check fires as well) + alive = lambda U, V, last, b, t: t is not None and c['pos'][last] > c['pos'][t] + return swap(pairs, c, lambda U, V, last, b, t: alive(U, V, last, b, t) and c['contained'](U, V) and not c['erasable'](U, V), + alive) + + def frame_outside(pairs, c): + # an unused donor with legal timing whose last frame is outside the recipient's gauge + return swap(pairs, c, lambda U, V, last, b, t: legal_timing(last, b, t, c) and not c['contained'](U, V)) + + def duplicate(pairs, c): + pairs.append(list(pairs[0])) + return pairs + + def drop(pairs, c): + return pairs[1:] + + def erasable(pairs, c): + # an unused donor with legal timing whose last frame (rank <= 3) lies in a cube parity 3-space inside the gauge + return swap(pairs, c, lambda U, V, last, b, t: legal_timing(last, b, t, c) and c['erasable'](U, V)) + out = {} + for name, f, intended in [('late_read_before_donor_death', late_before_death, 'late chronology'), + ('donor_frame_outside_gauge', frame_outside, 'donor frame outside gauge'), + ('duplicate_pair', duplicate, 'not one-to-one'), ('unpaired_gauge', drop, 'live external gauges'), + ('parity_erasable_donor', erasable, 'erasable')]: + try: + r = check(tree, f) + except RuntimeError as e: + out[name] = 'no instance: %s' % e + continue + found = r['kinds'] + (['erasable'] if r['erasable'] else []) + out[name] = ('REJECTED (%s)' if intended in found else 'ACCEPTED (control failed: %s)') % ', '.join(found) + return out + + +def main(): + ap = argparse.ArgumentParser(description=__doc__, formatter_class=argparse.RawDescriptionHelpFormatter) + ap.add_argument('--root', type=Path, required=True, help='the rebuilt PR #202 tree (scripts/paired_cube/frames.py)') + ap.add_argument('trees', type=Path, nargs='+') + a = ap.parse_args() + sys.path.insert(0, str(a.root / 'scripts')) + for t in a.trees: + print(json.dumps(dict(check(t), controls=controls(t))), flush=True) + + +if __name__ == '__main__': + main() diff --git a/research/complex-module-anneal/references/pr233-layer/NOTICE b/research/complex-module-anneal/references/pr233-layer/NOTICE new file mode 100644 index 0000000000..27c7d368fa --- /dev/null +++ b/research/complex-module-anneal/references/pr233-layer/NOTICE @@ -0,0 +1,43 @@ +Prepared by Chafik Boukhalfa with substantial Anthropic Claude and OpenAI +Codex assistance. Apache-2.0. Inherited files retain their original notices +and assistance disclosures. This package claims no exclusive priority over +concurrent work and reports no new kappa. + +What this package contributes: the physical layer (operation frames and reuse +pairs) of PR #200's descent applied to the source-aligned complex word, the +admission of that layer with PR #200's checker on that word, and the +observation that PR #184's frame flow prices it at 7.0861e-4. Everything +else is retained and credited: + +- icekylinx (OpenAI GPT-6 Astra and Codex assistance): PR144 paired cubes, + signed decoder, shared-core accounting, original compiler, carrier + matching (the frozen round-nine matching reused here), chronological + gauges, PR130 generalized Clifford frames; PR184 source-assisted + construction: source-parity local factorization, frame flow with + independent dirty lifts and source controls, exact lifts, contract, + global assembly (research/source-assisted, vendored byte for byte). +- ikeboy: PR191/193/194, the rebuild of PR184's construction on the PR168 v4 + modules (research/source-assisted-v4: source_aligned_local_v4.py, + contract_v4.py, assemble.py, the parity-erasure-avoiding matching), and the + composition with PR189's/PR200's bit supplier. +- eumemic (Anthropic Claude and OpenAI Codex assistance): PR117 module + infrastructure; PR155/157 scalar modules, physical frames and reuse; + PR161 output merging; PR168 annealed modules, nested-prefix schedules, + local L1 circuit, fused outputs, bundle descent, both physical layers + (the physical layer replaced here is PR168's, used as the descent's seed), + pinned at 4a3c769e5c5430e7114c4d3e099ff34664677f17; PR131/143 frame/reuse + and late-read lineage; PR154 isolated snapshot verification. +- jamesyc / James Chang: PR124 compensated birth cuts, PR34 balanced + assembly, PR166 terminal-output accumulation. DaysSky: PR162 extended + carrier closure, PR192 frame-layout ceiling. GamingPuzzled: PR160. + gupt1156 PR148 and Abhinav Ramachandran/geckods PR158 (Hermes assistance). + jacklightChen / Zhihao Chen: PR23/29. Rohan Arun: PR100/103. an664: PR128. + Earlier lineage: Zhihao Chen PR97, Swapnil Jain, DaysSky PR150, hpst3r + PR147, SovereignSteak PR122, Aurel Prosz, dleen, Douglas Colkitt. +- Chafik Boukhalfa (Anthropic Claude and OpenAI Codex assistance): PR175 + fast checker; PR179/181/189/196/200 local circuits, operation-frame descent + (discovery/), independent complete complex admission (complex/physical.py, + verify_fused.py, vendored from PR200 at a1175449) and the PR200 bit + supplier the assembly reads; PR202 (the pinned tree, 8d8d67b). +- OpenAI: the original complex phase network of "Integer multiplication + below n log n". diff --git a/research/complex-module-anneal/references/pr233-layer/SOURCE.json b/research/complex-module-anneal/references/pr233-layer/SOURCE.json new file mode 100644 index 0000000000..dca4742101 --- /dev/null +++ b/research/complex-module-anneal/references/pr233-layer/SOURCE.json @@ -0,0 +1,323 @@ +{ + "archive": "baseline-pr202.tar.gz", + "archive_sha256": 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"b964b59af038e70cc15af655a22bcf6aaafc9c842b213765781bc8bea7166430", + "scripts/three_stage_cover/lift.py": "ae5f4c56cd32b5232d6dcdcaed1e24efb81fe20467a2d915ee51479bced06cfc", + "scripts/three_stage_cover/select.py": "457e636ced9bbd368198f78e015660a929ba1aaccbe34122d18da09ebb488f33", + "scripts/three_stage_cover/verify.py": "4bd2347e87e4edb699968bc31dfb94f2ab89bf1227576e59f43c779ba74e4e06", + "scripts/three_stage_cover_network.py": "7e0ad6fd1921b6905a53ce1eeaa03d3bb3a8a8bbaa0382516ea98b636f46335e", + "scripts/three_stage_cover_producer.py": "ea6dd4f06173304bbcb74b8e5bcc02357b7bb162a6d26b4a6f7a9e886158123f", + "scripts/tune_routing.py": "5728c848e23c905f37a9d77928283e64ace5e7b69c3572780c1291800d005e6e" + }, + "note": "The files of PR #202 (commit 8d8d67b: PR #194's source-assisted-v4 pipeline on the PR #189/#200 lineage) that verify.py runs: scripts/, the PR168 v4 references and inherited witnesses, the Clifford frames note, the source-assisted decision/global scripts, the v4 package, and the PR #200 package certificate, arithmetic and complex checker; byte for byte; reproducible with: git archive --format=tar 8d8d67b | gzip -n -9", + "pr": 202, + "repository": "CrocSwap/integer-mult-bounds", + "witness": { + "kernel-pairs.json": "e33b753fc4519170373207b0527b9cb53e0b552e2a27f48f72381a881c7a227f", + "physical-frames.json": "1a6c215cdc58216f7ec96fb898a471e25d094fd86de085f6c06e86fd8997bfad", + "physical-pairs.json": "e6409fffbf5f3b1ac6434acf2e426503de3a8a18537b8fee761fc4fc931fb896" + } +} diff --git a/research/complex-module-anneal/references/pr233-layer/baseline-pr202.tar.gz b/research/complex-module-anneal/references/pr233-layer/baseline-pr202.tar.gz new file mode 100644 index 0000000000..39bdd153c4 Binary files /dev/null and b/research/complex-module-anneal/references/pr233-layer/baseline-pr202.tar.gz differ diff --git a/research/complex-module-anneal/references/pr233-layer/certificate.json b/research/complex-module-anneal/references/pr233-layer/certificate.json new file mode 100644 index 0000000000..796efbb0d4 --- /dev/null +++ b/research/complex-module-anneal/references/pr233-layer/certificate.json @@ -0,0 +1,151 @@ +{ + "assembly": { + "bit_effective_saving": "338670433250477381/500000000000000000000", + "complex_saving": "3549537/5000000000", + "kappa": "6768823/10000000000", + "status": "Exact arithmetic; construction and finite bridge are explicit proof dependencies" + }, + "binding": "bit", + "complex_profile": { + "W_per_vertex": 12052, + "child_histogram": { + "1": 87534, + "10": 2415, + "11": 1059, + "12": 3423, + "13": 504, + "14": 2175, + "15": 1815, + "16": 243, + "17": 117, + "18": 7920, + "19": 4323, + "2": 40641, + "20": 66, + "3": 29964, + "4": 11517, + "5": 5928, + "6": 4473, + "7": 1926, + "8": 4434, + "9": 1212 + }, + "deficit_per_vertex": 1320, + "m": 66, + "rank_per_vertex": 794112 + }, + "complex_saving": "3549537/5000000000", + "contract_checks": { + "all_centers_in_phase1": true, + "all_fresh_columns_equal_identity": true, + "all_target_cap_reads_in_phase2": true, + "arithmetic": "integers, endpoint scaled by 6", + "checked_source_columns": 1320, + "checked_target_rows": 1320, + "controls_before_original_K": true, + "original_source_V_before_all_controls": true, + "positive_target_data_histogram": { + "1": 3960, + "18": 1320 + }, + "read_counts": { + "center": 22, + "deferred": 2310, + "side": 3135 + }, + "source_controls_at_paid_parity_frames": true, + "target_chains_nested": true, + "target_data_histogram": { + "0": 6270, + "1": 3960, + "18": 1320 + } + }, + "flow": { + "child_histogram": { + "1": 87534, + "10": 2415, + "11": 1059, + "12": 3423, + "13": 504, + "14": 2175, + "15": 1815, + "16": 243, + "17": 117, + "18": 7920, + "19": 4323, + "2": 40641, + "20": 66, + "3": 29964, + "4": 11517, + "5": 5928, + "6": 4473, + "7": 1926, + "8": 4434, + "9": 1212 + }, + "deficit": 1320, + "loss": 440, + "new_R": 9412, + "new_W": 12052, + "original_physical_roles": 13372 + }, + "kappa": "6768823/10000000000", + "layer": { + "audit_source_sha256": { + "notes/general-clifford-frames.tex": "c9bb9655b594583c6b4bab8cb485233f1d1e588f83858cf1e4c3530cee8fed54", + "research/paired-cube-diagonal-bit-168/complex/physical.py": "01961fad4b04aaa940d2dc99c87690bc861b3861200296974c5e065ce3446659", + "research/paired-cube-diagonal-bit-168/complex/verify_fused.py": "75c3dcd80fcdbc461651fa2d2fa463e6b41a569d695fc74700d240223ef198e9", + "scripts/paired_cube/frames.py": "7d897418dbfee47de0723ea4983098a982610ccba45e1bac9000a79626d8421c", + "scripts/paired_cube_physical.py": "9c9ea1ea29e551ab6116d7c8ca09f4703ff9e2fa102032d5055327fde07ba319" + }, + "audit_status": "PASS exact fused physical candidate, all formal source/target/dirty columns", + "formal": { + "absolute_coefficient_bound": 603018, + "base_exceeds_twice_bound": true, + "columns": [ + { + "K_and_inverse": true, + "all_aliases_and_deadline_reads": true, + "all_physical_dirty_slots_restored": true, + "direction": 1, + "dirty_columns": 13372, + "every_formal_column": true, + "source_columns": 1320, + "target_columns": 1320 + }, + { + "K_and_inverse": true, + "all_aliases_and_deadline_reads": true, + "all_physical_dirty_slots_restored": true, + "direction": -1, + "dirty_columns": 13372, + "every_formal_column": true, + "source_columns": 1320, + "target_columns": 1320 + } + ], + "packed_digit_bits": 24 + }, + "frames": 17789, + "frames_changed_from_pr168": 0, + "mutations": { + "early-read": "REJECTED", + "missing-read": "REJECTED" + }, + "pairs": 2310 + }, + "lift": { + "all_actual_coefficients_dyadic": true, + "max_denominator": "2", + "nodes": 18532, + "physical_R": 9412, + "status": "Exact rational local lifts and inverse gate programs verified; monotone flow and zero-fresh kernel reuse DAG verified." + }, + "prerequisites": { + "pr194_complex_saving": "219037/312500000", + "pr200_bit": "research/paired-cube-diagonal-bit-168/certificate.json", + "pr202": "8d8d67bcf69c5ea67d3a29dbc64ba588156d6e8d" + }, + "status": "PASS source-assisted v4 word with this package's physical layer" +} diff --git a/research/complex-module-anneal/references/pr233-layer/verify.py b/research/complex-module-anneal/references/pr233-layer/verify.py new file mode 100644 index 0000000000..2ddf0d2f39 --- /dev/null +++ b/research/complex-module-anneal/references/pr233-layer/verify.py @@ -0,0 +1,223 @@ +#!/usr/bin/env python3 +"""A stronger complex supplier: our physical layer on the source-assisted v4 complex word. + +The source-assisted complex word of PR #184 (icekylinx) on the PR #168 v4 modules (PR #193/#194, ikeboy) is +compiled by a frame flow whose child histogram depends on the physical layer (operation frames and reuse pairs) +that the flow receives. PR #194 uses PR #168's physical layer and certifies the complex saving 7.00918e-4. This +package keeps every other input fixed and supplies the physical layer of PR #200's descent (endpoint moves of +single operations, equal-frame components and connected bundles, seeded from PR #168's frames); the certified +complex saving becomes 3543063/5000000000 = 7.0861e-4. + +verify.py (Python 3.11+, numpy/scipy for the regeneration steps; -O refused): + 1. checks baseline-pr202.tar.gz and every file in it against SOURCE.json (bytes of PR #202 at 8d8d67b, which + carries PR #194's pipeline, the PR #168 v4 scripts and references, and PR #200's certificate and checker), + and the three witness files; + 2. in a temporary directory: regenerates the PR #168 v4 complex cache (scripts/paired_cube_producer.py) and the + source-aligned word (source_aligned_local_v4.py, with its own physical layer and checks); + 3. installs this package's physical frames and reuse pairs as the word's physical layer and admits that layer + with PR #200's complete complex checker (complex/physical.py: all descended frames, nested chains, aliases, + target read chronology, exact adjoint, every formal source/target/dirty column in both shear signs); + 4. runs PR #184's frame flow (complex_frame_flow.py), exact lift (exact_complex_flow_lift.py) and contract + (contract_v4.py) on that layer, with the package's kernel pairs and physical pairs as the frozen witnesses; + 5. runs PR #194's assembly (assemble.py) against PR #200's bit certificate and compares the canonical result + with certificate.json (--write regenerates it). +Nothing outside the temporary directory is read or written, except certificate.json with --write. +""" +import argparse +import gzip +import hashlib +import io +import json +import shutil +import subprocess +import sys +import tarfile +import tempfile +import time +from fractions import Fraction as Q +from pathlib import Path + +if sys.flags.optimize: + raise SystemExit('Assertions must remain enabled: run without -O') +sys.set_int_max_str_digits(0) +sys.dont_write_bytecode = True +HERE = Path(__file__).resolve().parent +T0 = time.time() + + +def log(*a): + print('[%4.0fs]' % (time.time() - T0), *a, flush=True) + + +def sha(data): + return hashlib.sha256(data).hexdigest() + + +def read(p): + raw = Path(p).read_bytes() + return json.loads(gzip.decompress(raw) if str(p).endswith('.gz') else raw) + + +def write_gz(p, data): + with gzip.GzipFile(filename='', fileobj=open(p, 'wb'), mode='wb', mtime=0) as f: + f.write((json.dumps(data, separators=(',', ':')) + '\n').encode()) + + +def rebuild(dest): + src = read(HERE / 'SOURCE.json') + data = (HERE / src['archive']).read_bytes() + assert sha(data) == src['archive_sha256'], 'baseline archive differs from SOURCE.json' + with tarfile.open(fileobj=io.BytesIO(data), mode='r:gz') as archive: + members = [x for x in archive.getmembers() if x.isfile()] + assert sorted(x.name for x in members) == sorted(src['files']), 'archive lists other files than SOURCE.json' + for x in members: + part = Path(x.name) + assert not part.is_absolute() and '..' not in part.parts, 'unsafe path in archive: ' + x.name + body = archive.extractfile(x).read() + assert sha(body) == src['files'][x.name], 'baseline file differs from SOURCE.json: ' + x.name + (dest / part).parent.mkdir(parents=True, exist_ok=True) + (dest / part).write_bytes(body) + for name, digest in src['witness'].items(): + assert sha((HERE / 'witness' / name).read_bytes()) == digest, 'witness differs from SOURCE.json: ' + name + return src + + +def run(root, *args): + r = subprocess.run([sys.executable, '-B', *map(str, args)], cwd=root, capture_output=True, text=True) + if r.returncode: + raise SystemExit('FAILED: ' + ' '.join(map(str, args)) + '\n' + r.stdout[-3000:] + r.stderr[-3000:]) + return r.stdout + + +def strip_seconds(d): + if isinstance(d, dict): + return {k: strip_seconds(v) for k, v in d.items() if k not in ('seconds', 'maxrss')} + if isinstance(d, list): + return [strip_seconds(v) for v in d] + return d + + +def main(): + ap = argparse.ArgumentParser(description=__doc__, formatter_class=argparse.RawDescriptionHelpFormatter) + ap.add_argument('--write', action='store_true', help='rewrite certificate.json from this run') + ap.add_argument('--temp-root', type=Path, default=None) + a = ap.parse_args() + with tempfile.TemporaryDirectory(prefix='sa-v4-layer-', dir=a.temp_root) as d: + root = Path(d).resolve() + src = rebuild(root) + log('rebuilt %d pinned files of PR #202 (commit %s) and checked the witnesses' % (len(src['files']), src['commit'][:7])) + PKG = root / 'research/source-assisted-v4' + SA = root / 'research/source-assisted' + BIT = root / 'research/paired-cube-diagonal-bit-168' + work = root / '.work' + work.mkdir() + base, aligned = work / 'base', work / 'aligned' + run(root, root / 'scripts/paired_cube_producer.py', '--work-dir', base, '--output', work / 'producer.json') + log('regenerated the PR #168 v4 complex cache') + run(root, PKG / 'source_aligned_local_v4.py', '--tree', root, '--cache', base, '--out', aligned) + log('regenerated the source-aligned word with its own physical layer and checks') + # 3. install this package's physical layer and admit it with PR #200's complete complex checker + phys = aligned / 'references/paired-cube/physical' + frames = read(HERE / 'witness/physical-frames.json')['frames'] + pairs = read(HERE / 'witness/physical-pairs.json')['pairs'] + theirs = read(phys / 'frames.json')['frames'] + (phys / 'frames.json').write_text(json.dumps(dict(frames=frames), separators=(',', ':')) + '\n') + (phys / 'pairs.json').write_text(json.dumps(dict(pairs=pairs), separators=(',', ':')) + '\n') + sys.path.insert(0, str(root / 'scripts')) + from paired_cube.closure import compile_closure # noqa: E402 + from paired_cube_physical import physical # noqa: E402 + cache = aligned / 'cache' + g, w, word, row = (read(cache / n) for n in ('graph.json', 'frames.json', 'selection.json', 'record.json')) + baseline, _ = compile_closure(g, [[x, c] for x, c in w['matching_arcs']]) + profile = physical(g, w, word, row, frames, pairs) + cand = work / 'candidate' + cand.mkdir() + for name, data in [('graph', g), ('baseline', baseline), ('frames', w), ('word', word), ('profile-before', row), + ('physical-frames', frames), ('physical-pairs', pairs), ('profile', profile)]: + write_gz(cand / (name + '.json.gz'), data) + pins = {p.name: sha(p.read_bytes()) for p in cand.glob('*.json.gz')} + (cand / 'result.json').write_text(json.dumps(dict(tag='source-assisted-v4-layer', pins=pins)) + '\n') + run(root, BIT / 'complex/physical.py', '--candidate', cand, '--source', root, '--out', work / 'audit.json') + audit = read(work / 'audit.json') + assert audit['status'].startswith('PASS'), audit['status'] + # the checker keys its source hashes by absolute path; record them relative to the rebuilt tree + audit['source_sha256'] = {Path(k).resolve().relative_to(root).as_posix(): v for k, v in audit['source_sha256'].items()} + log('admitted this package\'s physical layer with PR #200\'s complex checker: %s; %d frames, %d pairs, %d of PR #168\'s %d frames changed' + % (audit['status'][:60], len(frames), len(pairs), sum(1 for (i, F), (j, G) in zip(sorted(frames), sorted(theirs)) if tuple(F) != tuple(G)), len(theirs))) + # 4. frame flow, exact lift and contract on this layer + flow = work / 'flow.json' + run(root, SA / 'decision/complex_frame_flow.py', '--tree', aligned, '--cache', cache, '--out', flow, '--witness', + '--purify-source-donors', '--recycle-kernels', '--kernel-pairs', HERE / 'witness/kernel-pairs.json') + flow_data = read(flow) + witness = flow.with_suffix('.witness.json') + log('frame flow: new_R %d, new_W %d, deficit %d, numerical root %.7e' % (flow_data['new_R'], flow_data['new_W'], flow_data['deficit'], flow_data['numerical_local_root'])) + lift = work / 'lift.json' + run(root, SA / 'decision/exact_complex_flow_lift.py', '--witness', witness, '--profile', flow, '--out', lift) + lift_data = read(lift) + lift_data.update(certificate_path=(work / 'lift.certificate.json.gz').relative_to(root).as_posix(), + witness_path=witness.relative_to(root).as_posix()) + lift.write_text(json.dumps(lift_data) + '\n') + log('exact lift: %s' % lift_data['status'][:80]) + shutil.copy2(HERE / 'witness/physical-pairs.json', PKG / 'data/physical-pairs.json') + shutil.copy2(HERE / 'witness/kernel-pairs.json', PKG / 'data/kernel-pairs.json') + cprof = work / 'complex-profile.json' + run(root, PKG / 'contract_v4.py', '--tree', aligned, '--cache', cache, '--witness', witness, + '--flow-profile', flow, '--lift-profile', lift, '--out', cprof) + cdata = read(cprof) + for name, check in cdata['contract_checks'].items(): + assert check not in (False, 'FAIL'), 'contract check %s failed' % name + log('contract: %d checks, W %d, rank %d, deficit %d' % (len(cdata['contract_checks']), cdata['W_per_vertex'], cdata['rank_per_vertex'], cdata['deficit_per_vertex'])) + # 5. assembly against PR #200's bit certificate + final = work / 'global.json' + run(root, PKG / 'assemble.py', '--complex', cprof, '--output', final) + fdata = read(final) + for branch in ('complex', 'bit'): + fdata[branch].pop('numerical_root_for_discovery_only', None) + complex_saving = Q(fdata['complex']['saving']) + kappa = Q(fdata['kappa']) + log('assembly: complex saving %s = %.7e, bit effective %.7e, kappa %s = %.7e' % ( + complex_saving, float(complex_saving), float(Q(fdata['bit']['effective_saving'])), kappa, float(kappa))) + result = dict(status='PASS source-assisted v4 word with this package\'s physical layer', + complex_saving=str(complex_saving), complex_saving_float=float(complex_saving), + kappa=str(kappa), kappa_float=float(kappa), binding='bit' if Q(fdata['bit']['effective_saving']) < complex_saving else 'complex', + complex_profile=dict(m=cdata['m'], W_per_vertex=cdata['W_per_vertex'], rank_per_vertex=cdata['rank_per_vertex'], + deficit_per_vertex=cdata['deficit_per_vertex'], child_histogram=cdata['child_histogram']), + layer=dict(frames=len(frames), pairs=len(pairs), audit=strip_seconds(audit)), + flow=strip_seconds({k: v for k, v in flow_data.items() if k not in ('source_sha256', 'cache_sha256')}), + lift={k: lift_data[k] for k in ('status', 'nodes', 'physical_R', 'all_actual_coefficients_dyadic', 'max_denominator', 'exact_scalar_program_sha256')}, + contract_checks=cdata['contract_checks'], assembly=strip_seconds(fdata), + prerequisites=dict(pr202=src['commit'], pr194_complex_saving='219037/312500000', pr200_bit='research/paired-cube-diagonal-bit-168/certificate.json')) + # certificate.json holds exact, platform-independent fields only (no floats, no hashes of generated gzip + # artifacts); the full run record goes to report.json (informational, written only with --write) + canon = dict(status=result['status'], complex_saving=result['complex_saving'], kappa=result['kappa'], binding=result['binding'], + complex_profile=result['complex_profile'], + layer=dict(frames=len(frames), pairs=len(pairs), frames_changed_from_pr168=sum(1 for (i, F), (j, G) in zip(sorted(frames), sorted(theirs)) if tuple(F) != tuple(G)), + audit_status=audit['status'], audit_source_sha256=audit['source_sha256'], + formal=json.loads(json.dumps(audit.get('formal'))), mutations=audit.get('mutations')), + flow=dict(new_R=flow_data['new_R'], new_W=flow_data['new_W'], deficit=flow_data['deficit'], loss=flow_data['loss'], + original_physical_roles=flow_data['original_physical_roles'], child_histogram=flow_data['child_histogram']), + lift=dict(status=lift_data['status'], nodes=lift_data['nodes'], physical_R=lift_data['physical_R'], + all_actual_coefficients_dyadic=lift_data['all_actual_coefficients_dyadic'], max_denominator=lift_data['max_denominator']), + contract_checks=cdata['contract_checks'], + assembly=dict(kappa=fdata['kappa'], complex_saving=fdata['complex']['saving'], bit_effective_saving=fdata['bit']['effective_saving'], status=fdata.get('status')), + prerequisites=result['prerequisites']) + canon = json.loads(json.dumps(canon, sort_keys=True)) + if a.write: + (HERE / 'certificate.json').write_text(json.dumps(canon, indent=1, sort_keys=True) + '\n') + (HERE / 'report.json').write_text(json.dumps(json.loads(json.dumps(result, sort_keys=True)), indent=1, sort_keys=True) + '\n') + log('wrote certificate.json and report.json') + committed = read(HERE / 'certificate.json') + if committed != canon: + for k in sorted(set(committed) | set(canon)): + if committed.get(k) != canon.get(k): + log('DIFFERS: %s' % k) + if isinstance(canon.get(k), dict): + for kk in sorted(set(committed.get(k, {})) | set(canon[k])): + if committed.get(k, {}).get(kk) != canon[k].get(kk): + log(' DIFFERS: %s/%s: %s vs %s' % (k, kk, str(committed.get(k, {}).get(kk))[:80], str(canon[k].get(kk))[:80])) + assert committed == canon, 'result differs from certificate.json' + log('PASS certificate.json reproduced: complex saving %s (PR #194: 219037/312500000), kappa %s' % (complex_saving, kappa)) + + +if __name__ == '__main__': + main() diff --git a/research/complex-module-anneal/references/pr233-layer/witness/kernel-pairs.json b/research/complex-module-anneal/references/pr233-layer/witness/kernel-pairs.json new file mode 100644 index 0000000000..e889b7b95c --- /dev/null +++ b/research/complex-module-anneal/references/pr233-layer/witness/kernel-pairs.json @@ -0,0 +1 @@ +{"description":"Kernel pairs of the frame flow on this layer (from complex_frame_flow.py --witness)","kernel_pairs":[]} \ No newline at end of file diff --git a/research/complex-module-anneal/references/pr233-layer/witness/physical-frames.json b/research/complex-module-anneal/references/pr233-layer/witness/physical-frames.json new file mode 100644 index 0000000000..9044957452 --- /dev/null +++ b/research/complex-module-anneal/references/pr233-layer/witness/physical-frames.json @@ -0,0 +1 @@ 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diff --git a/research/complex-module-anneal/references/pr233-layer/witness/physical-pairs.json b/research/complex-module-anneal/references/pr233-layer/witness/physical-pairs.json new file mode 100644 index 0000000000..a582ff3bea --- /dev/null +++ b/research/complex-module-anneal/references/pr233-layer/witness/physical-pairs.json @@ -0,0 +1 @@ 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diff --git a/research/complex-module-anneal/references/sussman/pr193-blocks.json b/research/complex-module-anneal/references/sussman/pr193-blocks.json new file mode 100644 index 0000000000..aeb5da69b2 --- /dev/null +++ b/research/complex-module-anneal/references/sussman/pr193-blocks.json @@ -0,0 +1,49 @@ +{ + "N": 262944, + "R": 9412, + "blocks": { + "c": { + "20": 22 + }, + "s": { + "1": 23898, + "10": 930, + "11": 354, + "12": 1197, + "13": 127, + "14": 742, + "15": 1879, + "16": 88, + "17": 81, + "18": 13, + "19": 167, + "2": 11078, + "3": 9923, + "4": 4209, + "5": 1950, + "6": 1605, + "7": 706, + "8": 1531, + "9": 429 + }, + "x": { + "1": 1320, + "18": 1320, + "2": 1320 + }, + "y": { + "1": 3960, + "18": 1320 + } + }, + "cst": 440, + "file_sha256": "15251deb0c11e0504d7b297c9786818888a93f08b92b03c6c122784b70488633", + "frames": 18248, + "gates_A": 12158, + "gates_B": 30878, + "h": 22, + "source": "jacobalansussman/wht-power-saving-lean tools/certificate/gcert1-p11-pr193.json.gz at commit f010392c (Jacob Sussman, Apache-2.0): the rebuilt paired-cube circuit of PR #193", + "uncompressed_sha256": "c64d2a95431c3cf24452de7391cce780bd71521da44ce23923ebb235f6c7962c", + "v": 1320, + "whole_block_saving_lean": "7474547/10^10 (Sussman, proved in Lean; gxdry.py: 7474549 holds, 7474550 fails)" +} \ No newline at end of file diff --git a/research/complex-module-anneal/scripts/moment.py b/research/complex-module-anneal/scripts/moment.py new file mode 100644 index 0000000000..11c622d33c --- /dev/null +++ b/research/complex-module-anneal/scripts/moment.py @@ -0,0 +1,45 @@ +#!/usr/bin/env python3 +"""Exact upper bound of the batched tensor moment sum_rho n_rho (rho/m)^theta, theta = 1 - a. + +Adapted from scripts/verify_moment.py of eumemic/exact-dft-bounds (eumemic, Claude assistance, Apache-2.0), +commit 6f87d1a0c9ae462cdcb2034a1361c87623221e66, which this package credits for the batched tensor recursion +(Theorem 3.1 there) and these bounds: + (rho/m)^theta = (rho/m) * exp(a * ln(m/rho)), + ln(x) <= 2*sum_{j= 1 + y = (x - 1) / (x + 1) + y2 = y * y + grid = 10**60 + s = 0 + p = y + for j in range(terms): + k = 2 * j + 1 + t = p / k + s += -((-t.numerator * grid) // t.denominator) + p *= y2 + if p < Fraction(1, 10**70): + break + k = 2 * (j + 1) + 1 + tail = 2 * p / (k * (1 - y2)) + return Fraction(2 * s, grid) + tail + + +def exp_upper(x): + assert 0 <= x < 3 + return 1 + x + x * x / (2 * (1 - x / 3)) + + +def moment_margin(m, W, hist, a): + """W minus an exact upper bound of sum_rho n_rho (rho/m)^(1-a); positive means the moment is below W.""" + assert all(1 <= r < m for r in hist), 'every child must be strictly narrower than a role' + total = Fraction(0) + for r, n in sorted(hist.items()): + total += n * Fraction(r, m) * exp_upper(a * ln_upper(Fraction(m, r))) + return W - total, total diff --git a/research/complex-module-anneal/verify.py b/research/complex-module-anneal/verify.py new file mode 100644 index 0000000000..fd1bf85cbd --- /dev/null +++ b/research/complex-module-anneal/verify.py @@ -0,0 +1,438 @@ +#!/usr/bin/env python3 +"""A stronger complex supplier from re-annealed complex modules, as explicit numbered programs (gcert/1). No new κ. + +The source-assisted complex word of PR #184 / #194 calls three query modules: PR #168 v4's pair module (n = 10), +all-but-one module (n = 9) and disjoint-triple module (p = 11). This package replaces the three module files by +re-annealed ones (modules/), compiles the word with one recipe frozen as files (layers/: carrier arcs, PR #200's +descended operation frames, reuse pairs of PR #193's parity-avoiding recipe and of PR #233's maximum-weight recipe, +kernel pairs), and runs the same recipe on PR #168 v4's own modules as the control. Each of the four words is lowered +to Jacob Sussman's gcert/1 by PR #256's emitter, checked by his reference checker gx.check1, written with the star +scatter by normalize_scatter.py and checked again by gx.check1 and by his gxcore mirror (both vendored unchanged). + +This script (Python 3.11+; numpy/scipy for the pinned regeneration and the checkers; -O refused) + 1. checks every pin of SOURCE.json; + 2. rebuilds the 308 pinned files of PR #202 from the vendored PR #233 package and regenerates the PR #168 v4 + producer word and the source-aligned word (PR #194's pipeline, as PR #233's and PR #256's verify.py do); + 3. anchors the new word builder and the chain: aligned_word.py, given PR #168 v4's modules and the source-aligned + word's own arcs, frames and pairs, reproduces the seven output files of source_aligned_local_v4.py byte for + byte; with PR #194's frozen pairs and kernel pairs the chain of step 4 reproduces PR #256's certificate of PR + #194's word (sha256 of the canonical JSON pinned in SOURCE.json) and Sussman's block histogram of #193; + 4. for each module set (pr168-v4 = control, cmod = result) and pair recipe (parity, mw): installs the module files + in the rebuilt tree, builds the word on the frozen layer with aligned_word.py (arcs through compile_closure, + frames through the script's forward closure, pairs through the script's candidate rule, exact physical + checks), re-checks the pairs from the written word with paircheck.py (five mutation controls rejected), + admits the layer with PR #200's complete complex checker (complex/physical.py, as PR #233 does), runs + PR #184's frame flow with the frozen kernel pairs, the exact lift and PR #194's contract (contract_v4.py), + emits gcert/1 with gcert_emit.py, runs gx.check1 (labels, blocks, N, exact scalar identity), checks the ledger + 3 (x + y + s + c) + 2v e_2 = the flow's child histogram, writes the scatter as the star rule with + normalize_scatter.py (registers of retained totals with unit -1 re-signed over the whole program) and runs + gx.check1 and Sussman's gxcore mirror on that program (blocks, N, frames and gates unchanged), and certifies the + five-stage price (H5 = 5 H_inv + 2v (e42 + e21 + e46 + e4), m = 110, W = 4v + R) at the claim of SOURCE.json + with exact rational bounds, the next 10^-7 grid point rejected; + 5. compares the four committed (star-form) programs byte for byte (uncompressed JSON) with certificates/, and the + run with certificate/expected.json. +usage: python3 -B research/complex-module-anneal/verify.py [--write] [--temp-root DIR] +--write re-pins the package's own inputs (modules/, layers/) in SOURCE.json, sets each claim to the largest 10^-7 +grid point the exact bounds certify, and rewrites certificates/ and certificate/expected.json (see README, re-pinning). +""" +import argparse +import gzip +import hashlib +import importlib.util +import json +import math +import shutil +import subprocess +import sys +import tempfile +import time +from collections import Counter +from fractions import Fraction as Q +from pathlib import Path + +if sys.flags.optimize: + raise SystemExit('Assertions must remain enabled: run without -O') +sys.dont_write_bytecode = True +HERE = Path(__file__).resolve().parent +sys.path.insert(0, str(HERE / 'gx')) +sys.path.insert(0, str(HERE / 'scripts')) +sys.path.insert(0, str(HERE)) +import gx # noqa: E402 (Jacob Sussman's reference checker, unchanged) +import gxcore # noqa: E402 (Jacob Sussman's Python mirror of the two Lean checks, unchanged) +import normalize_scatter # noqa: E402 +from moment import moment_margin # noqa: E402 +T0 = time.monotonic() +SETS = ('pr168-v4', 'cmod') +RECIPES = ('parity', 'mw') +OWN = ('modules/', 'layers/') # package inputs that --write re-pins; every other pin is vendored and fixed +SEVEN = ('cache/graph.json', 'cache/frames.json', 'cache/selection.json', 'cache/record.json', + 'references/paired-cube/physical/frames.json', 'references/paired-cube/physical/pairs.json', + 'certificates/paired-cube-sinks-input.json') +NAMES = {'pr168-v4': 'PR168 v4 modules', 'cmod': 're-annealed modules', + 'parity': 'PR193 parity-avoiding pairs', 'mw': 'PR233 maximum-weight pairs'} + + +def log(msg): + print('[%6.1fs] %s' % (time.monotonic() - T0, msg), flush=True) + + +def sha(data): + return hashlib.sha256(data).hexdigest() + + +def read(p): + p = Path(p) + return json.loads(gzip.decompress(p.read_bytes()) if p.suffix == '.gz' else p.read_bytes()) + + +def write_gz(p, data): + with open(p, 'wb') as raw, gzip.GzipFile(filename='', fileobj=raw, mode='wb', mtime=0) as f: + f.write((json.dumps(data, separators=(',', ':')) + '\n').encode()) + + +def run(root, *args): + r = subprocess.run([sys.executable, '-B', *map(str, args)], cwd=root, capture_output=True, text=True) + if r.returncode: + raise SystemExit('FAILED: ' + ' '.join(map(str, args)) + '\n' + r.stdout[-3000:] + r.stderr[-3000:]) + return r.stdout + + +def load_module(name, path): + spec = importlib.util.spec_from_file_location(name, path) + mod = importlib.util.module_from_spec(spec) + spec.loader.exec_module(mod) + return mod + + +def canonical(cert): + return (json.dumps(cert, separators=(',', ':'), sort_keys=True) + '\n').encode() + + +def grid(a): + return '%d/10^7' % (a * 10**7) + + +def parse_grid(s): + num, den = s.split('/') + assert den == '10^7' + return Q(int(num), 10**7) + + +def five_stage(blocks, v, h, R): + """Sussman's bridged five-stage word on one invocation ledger H_inv (the gcert block histogram over all + classes): per cover vertex H5 = 5 H_inv + 2v (e42 + e21 + e46 + e4), width m = 5h, stock W = 4v + R.""" + Hinv = Counter() + for w in blocks.values(): + for r, n in w.items(): + Hinv[int(r)] += n + H5 = {r: 5 * n for r, n in Hinv.items()} + for r in (42, 21, 46, 4): + H5[r] = H5.get(r, 0) + 2 * v + return 5 * h, 4 * v + R, H5 + + +def certify(name, cert, v, h, expected_blocks=None): + st = {} + gx.check1(cert, scalar=True, stats=st) + if expected_blocks is not None: + assert cert['blocks'] == expected_blocks, '%s: block histogram differs from the expectation' % name + R, N, cst = cert['R'], cert['N'], cert['cst'] + assert N == R * h + 2 * v * (h - 1) + cst and not cert['ext'] + m, W, H5 = five_stage(cert['blocks'], v, h, R) + rank = sum(r * n for r, n in H5.items()) + return dict(R=R, N=N, cst=cst, gates_A=len(cert['A']), gates_B=len(cert['B']), frames=len(cert['frames']), + registers=2 * v + R, blocks_total=sum(sum(w.values()) for w in cert['blocks'].values()), + scalar_denominators=st['den'], scalar_max_abs=st['maxabs'], distinct_frame_steps=st['steps'], + five_stage=dict(m=m, W=W, rank=rank, deficit=W * m - rank, child_histogram={str(r): n for r, n in sorted(H5.items())})) + + +def best_claim(five): + """the largest 10^-7 grid point at which the exact moment bound is below W (used by --write only)""" + hist = {int(r): n for r, n in five['child_histogram'].items()} + m, W = five['m'], five['W'] + lo, hi = 0., .01 + for _ in range(80): + a = (lo + hi) / 2 + if math.fsum(n * r * math.exp(a * math.log(m / r)) for r, n in hist.items()) < m * W: + lo = a + else: + hi = a + k = int(lo * 10**7) + while moment_margin(m, W, hist, Q(k, 10**7))[0] <= 0: + k -= 1 + while moment_margin(m, W, hist, Q(k + 1, 10**7))[0] > 0: + k += 1 + return Q(k, 10**7) + + +def price(name, five, a): + hist = {int(r): n for r, n in five['child_histogram'].items()} + margin, total = moment_margin(five['m'], five['W'], hist, a) + assert margin > 0, '%s: five-stage moment not below W at a = %s' % (name, grid(a)) + nxt = a + Q(1, 10**7) + margin_next, _ = moment_margin(five['m'], five['W'], hist, nxt) + assert margin_next <= 0, '%s: the next grid point %s also passes; raise the claim' % (name, grid(nxt)) + scale = 10**30 + upper = -((-total.numerator * scale) // total.denominator) + return dict(a=grid(a), moment_upper_bound='%d/10^30' % upper, margin_lower_bound='%d/10^30' % (five['W'] * scale - upper), + next_grid_point=grid(nxt), next_grid_point_rejected=True) + + +def admit(root, tree, cand): + """PR #233's step 3: admit the word's physical layer with PR #200's complete complex checker.""" + from paired_cube.closure import compile_closure # noqa: E402 (the rebuilt tree's scripts/) + from paired_cube_physical import physical # noqa: E402 + cache = tree / 'cache' + g, w, word, row = (read(cache / n) for n in ('graph.json', 'frames.json', 'selection.json', 'record.json')) + frames = read(tree / 'references/paired-cube/physical/frames.json')['frames'] + pairs = read(tree / 'references/paired-cube/physical/pairs.json')['pairs'] + baseline, _ = compile_closure(g, [[x, c] for x, c in w['matching_arcs']]) + profile = physical(g, w, word, row, frames, pairs) + assert json.loads(json.dumps(profile)) == read(tree / 'certificates/paired-cube-sinks-input.json'), 'physical profile differs from the sinks certificate' + cand.mkdir() + for name, data in [('graph', g), ('baseline', baseline), ('frames', w), ('word', word), ('profile-before', row), + ('physical-frames', frames), ('physical-pairs', pairs), ('profile', profile)]: + write_gz(cand / (name + '.json.gz'), data) + pins = {p.name: sha(p.read_bytes()) for p in cand.glob('*.json.gz')} + (cand / 'result.json').write_text(json.dumps(dict(tag='complex-module-anneal', pins=pins)) + '\n') + out = cand.with_suffix('.audit.json') + run(root, root / 'research/paired-cube-diagonal-bit-168/complex/physical.py', '--candidate', cand, '--source', root, '--out', out) + audit = read(out) + assert audit['status'].startswith('PASS'), audit['status'] + # the checker keys its source hashes by absolute path; record them relative to the rebuilt tree + return dict(status=audit['status'], formal=json.loads(json.dumps(audit.get('formal'))), mutations=audit.get('mutations'), + source_sha256={Path(k).resolve().relative_to(root).as_posix(): x for k, x in audit['source_sha256'].items()}) + + +def chain(root, work, name, tree, kernel, title, contract=True, admission=True): + """flow, exact lift, contract, gcert/1 emission and gx.check1 on one aligned tree""" + PKG, SA = root / 'research/source-assisted-v4', root / 'research/source-assisted' + cache = tree / 'cache' + g = read(cache / 'graph.json') + v, h = g['v'], g['h'] + rec = {} + if admission: + rec['admission'] = admit(root, tree, work / (name + '.candidate')) + log('%s: layer admitted by PR #200\'s complex checker: %s' % (name, rec['admission']['status'][:72])) + flow = work / (name + '.flow.json') + run(root, SA / 'decision/complex_frame_flow.py', '--tree', tree, '--cache', cache, '--out', flow, '--witness', + '--purify-source-donors', '--recycle-kernels', '--kernel-pairs', kernel) + witness = flow.with_suffix('.witness.json') + fd = read(flow) + lift = work / (name + '.lift.json') + run(root, SA / 'decision/exact_complex_flow_lift.py', '--witness', witness, '--profile', flow, '--out', lift) + lift_data = read(lift) + log('%s: flow new_R %d, deficit %d, numerical three-stage root %.7e; lift: %s' % ( + name, fd['new_R'], fd['deficit'], fd['numerical_local_root'], lift_data['status'][:60])) + rec['flow'] = dict(new_R=fd['new_R'], new_W=fd['new_W'], deficit=fd['deficit'], loss=fd['loss'], kernel_reuses=fd['kernel_reuses'], + source_control_erasures=fd['source_control_erasures'], original_physical_roles=fd['original_physical_roles'], + child_histogram=fd['child_histogram']) + rec['lift'] = {k: lift_data[k] for k in ('status', 'nodes', 'physical_R', 'inverse_elementary_gates', 'all_actual_coefficients_dyadic', 'max_denominator')} + if contract: + # PR #233's step 4: the contract reads the frozen pairs and kernel pairs from the v4 package's data/ + (PKG / 'data/physical-pairs.json').write_bytes((tree / 'references/paired-cube/physical/pairs.json').read_bytes()) + shutil.copyfile(kernel, PKG / 'data/kernel-pairs.json') + cprof = work / (name + '.complex-profile.json') + run(root, PKG / 'contract_v4.py', '--tree', tree, '--cache', cache, '--witness', witness, '--flow-profile', flow, + '--lift-profile', lift, '--out', cprof) + cdata = read(cprof) + for k, check in cdata['contract_checks'].items(): + assert check not in (False, 'FAIL'), '%s: contract check %s failed' % (name, k) + assert cdata['physical_R'] == fd['new_R'] and cdata['child_histogram'] == fd['child_histogram'] + rec['contract_checks'] = cdata['contract_checks'] + log('%s: PR #194 contract: %d checks pass' % (name, len(cdata['contract_checks']))) + out = work / ('gcert1-p11-%s-flow.json' % name) + run(root, HERE / 'gcert_emit.py', '--cache', cache, '--flow', flow, '--witness', witness, '--lift', lift_data['certificate_path'], + '--out', out, '--name', title) + raw = read(out) + rec.update(certify(name, raw, v, h)) + log('%s: gx.check1 ACCEPTED (labels, blocks, N = %d, exact scalar identity); %d gates, %d registers' + % (name, rec['N'], rec['gates_A'] + rec['gates_B'], rec['registers'])) + # the gcert ledger is the flow's certified child histogram: 3 (x + y + s + c) + 2v e_2 + child = Counter() + for w in raw['blocks'].values(): + for r, n in w.items(): + child[int(r)] += 3 * n + child[2] += 2 * v + assert {int(r): n for r, n in fd['child_histogram'].items()} == dict(child), '%s: ledger differs from the flow profile' % name + # the committed program: the scatter as the star rule (normalize_scatter.py), checked again by gx.check1 and by + # Sussman's gxcore mirror; registers, frames, gates, labels, retained totals, blocks and N are unchanged + cert, norm = normalize_scatter.normalize(raw) + st = {} + gx.check1(cert, scalar=True, stats=st) + assert cert['scat'] == normalize_scatter.STAR and normalize_scatter.same_shape(raw, cert), '%s: normalization changed more than signs' % name + assert (cert['blocks'], cert['N'], cert['frames'], len(cert['A']), len(cert['B'])) == (raw['blocks'], raw['N'], raw['frames'], len(raw['A']), len(raw['B'])) + assert (st['den'], st['maxabs'], st['steps']) == (rec['scalar_denominators'], rec['scalar_max_abs'], rec['distinct_frame_steps']) + mirror = gxcore.mirror(gxcore.normal(cert)) + Hinv = Counter() + for w in cert['blocks'].values(): + for r, n in w.items(): + Hinv[int(r)] += n + assert mirror['hist'] == dict(Hinv), '%s: gxcore histogram differs from the blocks' % name + norm.update(raw_certificate_sha256=sha(canonical(raw)), gx_check1='ACCEPTED (raw and committed program)', + gxcore_mirror='ACCEPTED (committed program; label and scalar checks)') + rec['scatter'] = norm + log('%s: committed program in star form (%s): gx.check1 and Sussman\'s gxcore mirror ACCEPTED, blocks and N unchanged' + % (name, 'registers %s re-signed, %d coefficients' % (norm['flipped_registers'], norm['changed_coefficients']) + if norm['flipped_registers'] else 'already star, unchanged')) + rec['blocks'] = cert['blocks'] + rec['certificate_sha256'] = sha(canonical(cert)) + return rec, cert + + +def module_paths(src, root, name): + paths = {} + for kind, rel in src['module_sets'][name].items(): + if rel.startswith('tree:'): + paths[kind] = root / rel[5:] + else: + # install the package's module file next to PR #168 v4's in the rebuilt tree + dest = root / 'references/paired-cube/sources' / Path(rel).name + assert not dest.exists(), 'module file name collides with a tree file: ' + rel + shutil.copyfile(HERE / rel, dest) + paths[kind] = dest + return paths + + +def module_record(path, kind): + d = read(path) + inputs = {'tmod': 165, 'pmod': 45, 'qmod': 9}[kind] + return dict(sha256=sha(Path(path).read_bytes()), additions=len(d['args']) - inputs - (1 if kind == 'tmod' else 0), outputs=len(d['roots'])) + + +def main(): + ap = argparse.ArgumentParser(description=__doc__, formatter_class=argparse.RawDescriptionHelpFormatter) + ap.add_argument('--write', action='store_true', help='re-pin modules/ and layers/, set the claims, rewrite certificates/ and certificate/expected.json') + ap.add_argument('--temp-root', type=Path, default=None) + a = ap.parse_args() + src = read(HERE / 'SOURCE.json') + if a.write: + own = sorted(p.relative_to(HERE).as_posix() for d in OWN for p in (HERE / d).rglob('*') if p.is_file()) + files = {k: x for k, x in src['files'].items() if not k.startswith(OWN)} + files.update({k: sha((HERE / k).read_bytes()) for k in own}) + changed = sorted(k for k in set(files) | set(src['files']) if files.get(k) != src['files'].get(k)) + src['files'] = dict(sorted(files.items())) + log('--write: re-pinned %d package inputs (%d changed: %s)' % (len(own), len(changed), ', '.join(changed) or 'none')) + for rel, digest in src['files'].items(): + assert sha((HERE / rel).read_bytes()) == digest, 'pinned file differs from SOURCE.json: ' + rel + for name in SETS: + for kind, rel in src['module_sets'][name].items(): + assert rel.startswith('tree:') or rel in src['files'], 'module file not pinned: ' + rel + for part in ['matching-arcs', 'physical-frames'] + ['%s-%s' % (k, r) for k in ('physical-pairs', 'kernel-pairs') for r in RECIPES]: + assert 'layers/%s/%s.json' % (name, part) in src['files'], 'layer file not pinned: %s/%s' % (name, part) + log('checked %d pins of SOURCE.json' % len(src['files'])) + sussman = read(HERE / 'references/sussman/pr193-blocks.json') + layer = load_module('pr233_layer_verify', HERE / 'references/pr233-layer/verify.py') + emitted, result = {}, {} + with tempfile.TemporaryDirectory(prefix='cmod-anneal-', dir=a.temp_root) as d: + root = Path(d).resolve() + pins = layer.rebuild(root) + log('rebuilt %d pinned files of PR #202 (commit %s) from the vendored PR #233 package' % (len(pins['files']), pins['commit'][:7])) + sys.path.insert(0, str(root / 'scripts')) + PKG = root / 'research/source-assisted-v4' + work = root / '.work' + work.mkdir() + base, aligned = work / 'base', work / 'aligned' + run(root, root / 'scripts/paired_cube_producer.py', '--work-dir', base, '--output', work / 'producer.json') + run(root, PKG / 'source_aligned_local_v4.py', '--tree', root, '--cache', base, '--out', aligned) + log('regenerated the PR #168 v4 producer word and the source-aligned word (PR #194\'s pipeline)') + # 3. anchors + pr168 = module_paths(src, root, 'pr168-v4') + mods = ['--tmod', pr168['tmod'], '--pmod', pr168['pmod'], '--qmod', pr168['qmod']] + anchor = work / 'anchor' + phys = aligned / 'references/paired-cube/physical' + run(root, HERE / 'aligned_word.py', '--tree', root, *mods, '--arcs', aligned / 'cache/frames.json', + '--frames', phys / 'frames.json', '--pairs', phys / 'pairs.json', '--out', anchor) + for f in SEVEN: + assert (anchor / f).read_bytes() == (aligned / f).read_bytes(), 'aligned_word.py differs from source_aligned_local_v4.py: ' + f + log('anchor: aligned_word.py reproduces the 7 output files of source_aligned_local_v4.py byte for byte') + tree = work / 'pr194' + run(root, HERE / 'aligned_word.py', '--tree', root, *mods, '--arcs', aligned / 'cache/frames.json', + '--frames', phys / 'frames.json', '--pairs', PKG / 'data/physical-pairs.json', '--out', tree) + rec, _ = chain(root, work, 'pr194', tree, PKG / 'data/kernel-pairs.json', 'pr194 flow word (PR168 frames, PR193 pairs)', + contract=False, admission=False) + assert rec['blocks'] == sussman['blocks'] and rec['N'] == sussman['N'], 'pr194: not the histogram of Sussman\'s certificate of #193' + assert rec['certificate_sha256'] == src['prerequisites']['pr256']['pr194_certificate_sha256'], 'pr194: differs from PR #256\'s certificate' + result['anchor_pr194'] = dict(N=rec['N'], R=rec['R'], blocks_total=rec['blocks_total'], certificate_sha256=rec['certificate_sha256'], + equals_pr256_certificate=True, equals_sussman_pr193_blocks=True) + log('anchor: PR #194\'s word through this chain is PR #256\'s certificate (sha256 %s...) with Sussman\'s #193 histogram' % rec['certificate_sha256'][:12]) + # 4. the four words + modules = {} + for name in SETS: + paths = pr168 if name == 'pr168-v4' else module_paths(src, root, name) + modules[name] = {kind: module_record(paths[kind], kind) for kind in ('pmod', 'qmod', 'tmod')} + L = HERE / 'layers' / name + for recipe in RECIPES: + key = '%s-%s' % (name, recipe) + tree = work / key + run(root, HERE / 'aligned_word.py', '--tree', root, '--tmod', paths['tmod'], '--pmod', paths['pmod'], '--qmod', paths['qmod'], + '--arcs', L / 'matching-arcs.json', '--frames', L / 'physical-frames.json', + '--pairs', L / ('physical-pairs-%s.json' % recipe), '--out', tree) + sinks = read(tree / 'certificates/paired-cube-sinks-input.json') + log('%s: word on the frozen layer (%d arcs, %d moved frames, %d pairs), physical checks pass, physical R %d' + % (key, len(read(L / 'matching-arcs.json')['matching_arcs']), len(read(L / 'physical-frames.json')['frames']), + len(read(L / ('physical-pairs-%s.json' % recipe))['pairs']), sinks['physical_R'])) + # independent re-check of the pairs from the written word, with five mutation controls + pc = json.loads(run(root, HERE / 'paircheck.py', '--root', root, tree)) + assert pc['status'] == 'PASS' and not pc['violations'] and not pc['erasable'], '%s: paircheck %s' % (key, pc) + assert all(x.startswith('REJECTED') for x in pc['controls'].values()), '%s: a paircheck control was not rejected: %s' % (key, pc['controls']) + assert pc['controls']['donor_frame_outside_gauge'] == 'REJECTED (donor frame outside gauge)' and \ + pc['controls']['parity_erasable_donor'] == 'REJECTED (erasable)', '%s: a paircheck control is not isolated: %s' % (key, pc['controls']) + log('%s: paircheck PASS (%d early, %d late pairs, none parity-erasable); %d mutation controls rejected' + % (key, pc['early'], pc['late'], len(pc['controls']))) + rec, cert = chain(root, work, key, tree, L / ('kernel-pairs-%s.json' % recipe), + '%s flow word (%s, descended frames, %s)' % (key, NAMES[name], NAMES[recipe])) + rec['paircheck'] = pc + rec['layer'] = dict(R=read(tree / 'cache/record.json')['R'], physical_R=sinks['physical_R'], + arcs=len(read(L / 'matching-arcs.json')['matching_arcs']), + moved_frames=len(read(L / 'physical-frames.json')['frames']), + pairs=len(read(L / ('physical-pairs-%s.json' % recipe))['pairs']), + kernel_pairs=len(read(L / ('kernel-pairs-%s.json' % recipe))['kernel_pairs'])) + five = rec['five_stage'] + claim = best_claim(five) if a.write else parse_grid(src['claims'][key]) + if a.write: + src['claims'][key] = grid(claim) + five.update(price(key, five, claim)) + log('%s: five-stage word (m = %d, W = %d) certified at a = %s, %s rejected' + % (key, five['m'], five['W'], five['a'], five['next_grid_point'])) + result[key] = rec + emitted[key] = cert + log('regenerated the four certificates') + for key, cert in emitted.items(): + path = HERE / 'certificates' / ('gcert1-p11-%s-flow.json.gz' % key) + if a.write: + with open(path, 'wb') as raw, gzip.GzipFile(filename='', fileobj=raw, mode='wb', mtime=0) as f: + f.write(canonical(cert)) + assert sha(gzip.decompress(path.read_bytes())) == result[key]['certificate_sha256'], '%s: committed certificate differs from the regenerated one' % key + log('committed certificates reproduced byte for byte (uncompressed JSON)') + claims = {k: parse_grid(src['claims'][k]) for k in emitted} + comparison = {} + for recipe in RECIPES: + c, r = claims['cmod-' + recipe], claims['pr168-v4-' + recipe] + comparison[recipe] = dict(cmod=grid(c), control=grid(r), gain_over_control=str(c / r - 1), gain_over_control_percent='%.3f' % float(100 * (c / r - 1))) + for k, (label, ref) in src['official'].items(): + c = claims['cmod-mw'] + comparison['cmod-mw_vs_' + k] = dict(official=label, gain=str(c / Q(ref) - 1), gain_percent='%.3f' % float(100 * (c / Q(ref) - 1))) + canon = json.loads(json.dumps(dict( + status='PASS: four flow words exported as gcert/1 programs accepted by gx.check1; re-annealed modules priced at %s (PR233 pairs) and %s (PR193 pairs) in the five-stage layout, same-recipe control %s and %s' + % (grid(claims['cmod-mw']), grid(claims['cmod-parity']), grid(claims['pr168-v4-mw']), grid(claims['pr168-v4-parity'])), + anchor_pr194=result['anchor_pr194'], comparison=comparison, modules=modules, + **{k: result[k] for k in emitted}, + prerequisites=dict(pr202=pins['commit'], pr233=src['prerequisites']['pr233'], pr256=src['prerequisites']['pr256'], + sussman=src['prerequisites']['sussman'])), sort_keys=True)) + if a.write: + (HERE / 'SOURCE.json').write_text(json.dumps(src, indent=1) + '\n') + (HERE / 'certificate/expected.json').write_text(json.dumps(canon, indent=1, sort_keys=True) + '\n') + log('wrote SOURCE.json, certificates/ and certificate/expected.json') + committed = read(HERE / 'certificate/expected.json') + if committed != canon: + for k in sorted(set(committed) | set(canon)): + if committed.get(k) != canon.get(k): + log('DIFFERS: %s' % k) + assert committed == canon, 'result differs from certificate/expected.json' + log('PASS expected.json reproduced: re-annealed modules at a = %s (PR233 pairs; control %s) and %s (PR193 pairs; control %s) in the five-stage layout' + % (grid(claims['cmod-mw']), grid(claims['pr168-v4-mw']), grid(claims['cmod-parity']), grid(claims['pr168-v4-parity']))) + + +if __name__ == '__main__': + main()