From c0f9f480440a25f89a8a00e1b2076467cf484754 Mon Sep 17 00:00:00 2001 From: eumemic Date: Sat, 10 Oct 2026 17:41:03 -0700 Subject: [PATCH] Complete native admission for pointwise w3 p10 construction --- .gitattributes | 1 + .github/workflows/w3-p10-pointwise-native.yml | 29 + .../w3-p10-pointwise-native-audit/LICENSE | 201 + .../MANIFEST.json | 24 + .../w3-p10-pointwise-native-audit/README.md | 24 + .../code/assembly.py | 49 + .../code/audit.cpp | 23 + .../code/minors.py | 41 + .../code/tiling.py | 34 + .../receipts/ASSEMBLY-AUDIT.json | 9 + .../receipts/BOUND-RESULT.json | 408 + .../receipts/INTEGRATION-REVIEW.json | 19 + .../receipts/MINOR-AUDIT.json | 13 + .../receipts/RESULT.json | 245 + .../receipts/SUPPLIER-CLOSEOUT.json | 37 + .../receipts/TWO-REPLAYS.json | 242 + .../receipts/cp312-CERTIFICATE.json | 52 + .../receipts/cp312-SOURCE-REGENERATION.json | 37 + .../receipts/cp312-VERIFICATION.json | 95 + .../receipts/root-CERTIFICATE.json | 52 + 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research/w3-p10-pointwise-native/vendor/predecessor/proof/primary/PROVENANCE.md create mode 100644 research/w3-p10-pointwise-native/vendor/predecessor/proof/primary/UPSTREAM-README.md create mode 100644 research/w3-p10-pointwise-native/vendor/predecessor/proof/three-stage-cover-bit.tex create mode 100644 research/w3-p10-pointwise-native/vendor/predecessor/proof/three-stage-cover-rows.tex create mode 100644 research/w3-p10-pointwise-native/vendor/predecessor/raw_ledger.py create mode 100644 research/w3-p10-pointwise-native/vendor/predecessor/requirements.txt create mode 100644 research/w3-p10-pointwise-native/vendor/predecessor/scalar/word.py create mode 100644 research/w3-p10-pointwise-native/vendor/predecessor/scalar_check.py create mode 100644 research/w3-p10-pointwise-native/vendor/predecessor/verify.py create mode 100644 research/w3-p10-pointwise-native/vendor/predecessor/virtual_check.py create mode 100644 research/w3-p10-pointwise-native/vendor/predecessor/word-pins.json create mode 100644 research/w3-p10-pointwise-native/vendor/predecessor/word_pins.py create mode 100644 research/w3-p10-pointwise-native/verify.py diff --git a/.gitattributes b/.gitattributes index 6825630198..096af3ef3a 100644 --- a/.gitattributes +++ b/.gitattributes @@ -18,3 +18,4 @@ research/coordinated-frames-and-entrance-banks/** -text -whitespace # Frozen PR210 package and round-nine evidence retain their audited bytes. research/five-stage-source527-banks/** -text -whitespace research/community-round9-audit/** -text -whitespace +research/w3-p10-pointwise-native/** -text -whitespace diff --git a/.github/workflows/w3-p10-pointwise-native.yml b/.github/workflows/w3-p10-pointwise-native.yml new file mode 100644 index 0000000000..dfb6e3d3f5 --- /dev/null +++ b/.github/workflows/w3-p10-pointwise-native.yml @@ -0,0 +1,29 @@ +name: Complete pointwise w3 p10 admission +on: + pull_request: + paths: + - 'research/w3-p10-pointwise-native/**' + - '.github/workflows/w3-p10-pointwise-native.yml' + workflow_dispatch: +permissions: + contents: read +jobs: + full-admission: + runs-on: ubuntu-latest + timeout-minutes: 60 + env: + PYTHONDONTWRITEBYTECODE: '1' + steps: + - uses: actions/checkout@v4 + - uses: actions/setup-python@v5 + with: + python-version: '3.12' + - run: python -m pip install -r research/w3-p10-pointwise-native/requirements.txt + - run: sudo apt-get update && sudo apt-get install -y libboost-dev + - name: Replay every immutable stage + run: python -B research/w3-p10-pointwise-native/verify.py --output "$RUNNER_TEMP/w3-p10-pointwise-proof" + - uses: actions/upload-artifact@v4 + if: always() + with: + name: w3-p10-pointwise-native-proof + path: ${{ runner.temp }}/w3-p10-pointwise-proof diff --git a/research/w3-p10-pointwise-native-audit/LICENSE b/research/w3-p10-pointwise-native-audit/LICENSE new file mode 100644 index 0000000000..261eeb9e9f --- /dev/null +++ b/research/w3-p10-pointwise-native-audit/LICENSE @@ -0,0 +1,201 @@ + Apache License + Version 2.0, January 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It consumes a completed full package replay: + + python3 -B verify.py --proof /tmp/w3-proof --output /tmp/w3-independent + +The package defaults to the sibling `w3-p10-pointwise-native`; `--package` can +select its location. A C++17 compiler is required. The scripts originate in the +OpenAI Codex-assisted p10b independent audit; they share no construction tiling, +determinant or recurrence implementation. The small JSON header is taken from +the manifest-checked construction package. + +The operator audit is F2 and verifies forward/inverse restoration and a control +that omits the twin restoration category. Signed elementary-shear inverse +semantics and integer decoder/recovery remain inherited, as do the published +compiler/chart/analytic interfaces. This does not claim a new unconditional or +Lean theorem. Prepared with substantial OpenAI Codex assistance; Apache-2.0. + +The included receipts record two complete 21-stage immutable replays, observed +exits 0 in sessions 90130 (Python 3.11) and 84027 (Python 3.12), with identical +mathematical certificates. This separate five-stage audit exited 0 in session +95536. Omitting twin restoration creates 480 wrong rows; both original +orientations restore all rows. Absolute paths in receipts identify original +local inputs and are evidence metadata, not required replay locations. diff --git a/research/w3-p10-pointwise-native-audit/code/assembly.py b/research/w3-p10-pointwise-native-audit/code/assembly.py new file mode 100644 index 0000000000..89f19c9ef0 --- /dev/null +++ b/research/w3-p10-pointwise-native-audit/code/assembly.py @@ -0,0 +1,49 @@ +"""Independent closed-form recurrence and strict rational outer-grid audit. +No imports from the construction's arithmetic implementation. +Prepared with OpenAI Codex assistance; Apache-2.0. +""" +import argparse,hashlib,json +from fractions import Fraction as F +from pathlib import Path +ap=argparse.ArgumentParser();ap.add_argument('proof',type=Path);ap.add_argument('output',type=Path);args=ap.parse_args() +raw=(args.proof/'REFINEMENT.json').read_bytes();r=json.loads(raw) +price=json.loads((args.proof/'PRICE.json').read_text()) +eta,beta=F(r['eta']),F(r['beta']);grid=r['grid'];s=F(r['ordinary_saving']['value']) +b=F(price['complex_saving']);assert b==F(r['complex_saving']) +limit=(1-beta)*b +strict_ticks=(limit.numerator*grid-1)//limit.denominator +strict_cap=F(strict_ticks,grid) +assert strict_cap==F(r['ordinary_saving']['strict_complex_cap']) +assert s==min(F(r['root']['lower']),strict_cap)0 and cut*delta**2>=36 and cut*delta>=2*(4+(C-1).bit_length()) + if levelcap +assert len(r['assembly']['strict_constraints'])==47 and all(F(v)>0 for v in r['assembly']['strict_constraints'].values()) +result=dict(status='PASS_INDEPENDENT_CLOSED_FORM_BOOTSTRAP_COMPLEX_CLIPPING_AND_OUTER_GRID',kappa=str(cap),complex_b=str(b),ordinary_saving=str(s),bootstrap_levels=levels,refinement_sha256=hashlib.sha256(raw).hexdigest(),scope='Independently recomputed all finite recurrence levels by closed form, their cutoffs, strict complex cap, seven outer margins and final grid; full structural and moment admission remain the complete verifier responsibility.') +assert not args.output.exists();args.output.write_text(json.dumps(result,indent=2)+'\n');print(result['status'],str(cap)) diff --git a/research/w3-p10-pointwise-native-audit/code/audit.cpp b/research/w3-p10-pointwise-native-audit/code/audit.cpp new file mode 100644 index 0000000000..098e2d9230 --- /dev/null +++ b/research/w3-p10-pointwise-native-audit/code/audit.cpp @@ -0,0 +1,23 @@ +// Independent literal audit adapted with OpenAI Codex assistance; Apache-2.0. +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +using namespace std;using J=nlohmann::json;using Row=vector;struct F{int d;vectorB,A;};struct E{int op,x,y,c,f,z;}; +void ck(bool b,string s){if(!b)throw runtime_error(s);}J rd(string p){ifstream in(p);J j;in>>j;return j;} +int main(int argc,char**argv){ck(argc==5,"arguments");string p=argv[1],out=argv[2],pkg=argv[3];J st=rd(p+"/249-states.json"),frames=rd(p+"/frames.json")["frames"],ini=rd(p+"/COHORT249-INITIAL.json"),fin=rd(p+"/COHORT249-FINAL.json"),tiling=rd(pkg+"/stages/bank-tiling.json");int n=st["n"],v=st["v"],h=rd(p+"/frames.json")["h"];int T=tiling.at("physical_replicas"),m=5*h;mapfs;for(auto it=frames.begin();it!=frames.end();++it){F f;f.d=it.value()["dim"];f.A=it.value()["A"].get>();f.B=it.value()["B"].get>();ck(f.A.size()+f.B.size()==h&&f.B.size()==f.d,"frame dimensions");for(auto rows:{f.A,f.B})for(auto row:rows){ck(row.size()==h,"row width");for(int x:row)ck(abs(x)<=7,"coefficient guard");}fs.emplace(stoi(it.key()),f);}ifstream raw(p+"/COHORT249-RECORDS.bin",ios::binary);raw.seekg(0,ios::end);auto bytes=raw.tellg();raw.seekg(0);ck(bytes%24==0,"record width");vectores(bytes/24);raw.read((char*)es.data(),bytes);ck(raw.good(),"read"); +mapinitial,final,state;for(auto it=ini.begin();it!=ini.end();++it)initial[stoi(it.key())]=it.value();for(auto it=fin.begin();it!=fin.end();++it)final[stoi(it.key())]=it.value();ck(initial.size()==n&&final.size()==n,"role census");state=initial; +set>pairs;auto subset=[&](int a,int b){if(a==b)return;pairpr{a,b};if(!pairs.insert(pr).second)return;F&A=fs.at(a),&B=fs.at(b);ck(A.d<=B.d,"nonnested dimension");for(auto x:A.B)for(auto y:B.A){int dot=0;for(int k=0;kpaid,required,reflected;vector>needs(n);mapcoeff;long long adds=0,moves=0,copies=0,erasures=0;int temp=-1;for(auto e:es){if(e.op==0){ck(state.at(e.x)==e.y,"MOVE predecessor");subset(e.y,e.c);ck(fs.at(e.c).d-fs.at(e.y).d==e.f,"MOVE gap");ck(fs.at(e.y).A.size()-fs.at(e.c).A.size()==e.f,"reflected MOVE gap");state[e.x]=e.c;if(e.f)paid[e.f]++;moves++;}else if(e.op==1){ck(e.x!=e.y&&(e.c%2)!=0,"scalar contract");ck(e.x=0)ck(e.x!=temp,"borrowed source mutated");ck(state.at(e.x)==e.f&&state.at(e.y)==e.f,"common frame");needs[e.x].push_back(e.f);if(e.y=0&&e.f==int(st["ZERO"]),"temp read");coeff[e.c]++;adds++;}else if(e.op==2){ck(temp==-1&&e.y==n&&state.at(e.x)==e.c&&e.f==int(st["ZERO"])&&e.z==h-2,"COPY contract");state[e.y]=e.f;needs[e.x].push_back(e.c);temp=e.x;copies++;paid[e.z]++;required[e.z]++;reflected[e.z]++;}else if(e.op==3){ck(temp==e.x&&e.y==n&&state.at(e.x)==e.c&&state.at(n)==e.f,"ERASE contract");state.erase(n);temp=-1;erasures++;}else throw runtime_error("opcode");}ck(temp==-1&&state==final,"actual endpoints"); +for(int r=0;rpath{initial.at(r)};path.insert(path.end(),needs[r].begin(),needs[r].end());path.push_back(final.at(r));for(int k=1;k0;k--){int a=path[k],b=path[k-1];subset(b,a);int d=int(fs.at(b).A.size())-int(fs.at(a).A.size());ck(d>=0,"reflected required gap");if(d)reflected[d]++;}}ck(required==paid&&reflected==paid,"independent required ledger census"); +int nw=(n+1+63)/64;auto replay=[&](bool rev,bool omit){vector>rows(n+1,vector(nw));for(int r=0;r<=n;r++)rows[r][r/64]|=1ull<<(r%64);int borrowed=-1;int restoreCat=atoi(argv[4]);for(int k=0;k=v&&r<2*v)rows[r][(r-v)/64]^=1ull<<((r-v)%64);bool wrong=any_of(rows[r].begin(),rows[r].end(),[](uint64_t x){return x;});bad+=wrong;}ck(borrowed==-1,"temp replay complete");if(omit)ck(bad>0,"restoration omission must fail");else ck(bad==0,"all-column endpoint");return bad;};int fw=replay(false,false),iv=replay(true,false),om=replay(false,true); +mapcensus;int deleted=0;long long rankMass=0;for(int r=2*v;rslots;int banks=0;for(auto pat:tiling["patterns"]){int count=pat["count"],width=0;for(int w:pat["widths"]){slots[w]+=count;width+=w;}ck(width==m,"bank width");banks+=count;}for(auto[r,c]:census)if(r)ck(slots[r]==1ll*T*c,"T_ADAPTED exact supply");ck(rankMass*T==1ll*m*banks,"bank conservation");long long stock=4ll*v*T+5ll*banks;mappaidCounts=paid;long long paidcalls=0,paidmass=0;for(auto[r,c]:paid){paidcalls+=c;paidmass+=r*c;}J result={{"status","PASS_INDEPENDENT_LITERAL_COMBINED_WORD_ENDPOINTS_REFLECTIONS_T_ADAPTED_CENSUS"},{"records",es.size()},{"scalar_ADDs",adds},{"signed_coefficients",coeff},{"moves",moves},{"copies",copies},{"erasures",erasures},{"paid_calls",paidcalls},{"paid_rank_mass",paidmass},{"paid_histogram",paid},{"required_histogram",required},{"reflected_histogram",reflected},{"unique_nonsame_frame_pairs",pairs.size()},{"forward_wrong_rows",fw},{"inverse_wrong_rows",iv},{"omission_wrong_rows",om},{"residual_census",censusJ},{"deleted_roles",deleted},{"endpoint_rank_mass_per_replica",rankMass},{"banks_per_stage",banks},{"literal_stock",stock},{"normalized_stock",stock/5},{"scope","Independent actual binary and endpoint ledger audit; finite prime chart and exact price checked in native pipeline."}};ofstream(out+"/RESULT.json")<0 and sum(widths)==100 + for w,n in Counter(widths).items():rem[w]-=count*n;assert rem[w]>=0,(w,rem[w]) + patterns.append(dict(count=count,widths=widths)) +# A mixed anchor makes this tiling intentionally different from the producer. +if rem[19]>=900 and rem[3]>=300 and rem[20]>=600:use([19,19,19,3,20,20],300) +for w in sorted(set(census)-{4,20},reverse=True): + if not rem[w]:continue + groups=[g for g in range(1,101//w+1)if 300%g==0 and g*w<=100 and (100-g*w)%4==0] + assert groups,(w,'no independent pattern') + g=max(groups);assert rem[w]%g==0 + left=100-g*w;twenties=left//20;fours=(left-20*twenties)//4 + use([w]*g+[20]*twenties+[4]*fours,rem[w]//g) +# Complete the remaining 20/4 inventory, including a non-pure bridge if needed. +r=rem[20]%5 +if r:use([20]*r+[4]*(25-5*r),1) +if rem[20]:use([20]*5,rem[20]//5) +assert rem[4]%25==0 +if rem[4]:use([4]*25,rem[4]//25) +assert all(n==0 for n in rem.values()) +assert 100*sum(p['count']for p in patterns)==300*sum(w*n for w,n in census.items()) +r=dict(census=dict(sorted(census.items())),physical_replicas=300,patterns=patterns,scope='Independent deterministic exact packing built only from actual endpoint ranks; optional mixed19/3 anchor and20/4 completion.') +a.output.parent.mkdir(parents=True,exist_ok=True);assert not a.output.exists();a.output.write_text(json.dumps(r,indent=2)+'\n');print('PASS independent generic endpoint tiling',sum(p['count']for p in patterns),dict(census)) diff --git a/research/w3-p10-pointwise-native-audit/receipts/ASSEMBLY-AUDIT.json b/research/w3-p10-pointwise-native-audit/receipts/ASSEMBLY-AUDIT.json new file mode 100644 index 0000000000..896bb74c4f --- /dev/null +++ b/research/w3-p10-pointwise-native-audit/receipts/ASSEMBLY-AUDIT.json @@ -0,0 +1,9 @@ +{ + "status": "PASS_INDEPENDENT_CLOSED_FORM_BOOTSTRAP_COMPLEX_CLIPPING_AND_OUTER_GRID", + "kappa": "198348202417928396741897/250000000000000000000000000", + "complex_b": "794022782431403/1000000000000000000", + "ordinary_saving": "198505695409345054392149/250000000000000000000000000", + "bootstrap_levels": 8, + "refinement_sha256": "59395b020268a34593efc85354bfda36ecc727a5bc4fd2a021bdd29663bb7fdf", + "scope": "Independently recomputed all finite recurrence levels by closed form, their cutoffs, strict complex cap, seven outer margins and final grid; full structural and moment admission remain the complete verifier responsibility." +} diff --git a/research/w3-p10-pointwise-native-audit/receipts/BOUND-RESULT.json b/research/w3-p10-pointwise-native-audit/receipts/BOUND-RESULT.json new file mode 100644 index 0000000000..8e6ce356f2 --- /dev/null +++ b/research/w3-p10-pointwise-native-audit/receipts/BOUND-RESULT.json @@ -0,0 +1,408 @@ +{ + "banks_per_stage": 398160, + "copies": 20, + "deleted_roles": 0, + "endpoint_rank_mass_per_replica": 132720, + "engine_hashes": { + "code/assembly.py": "11cd6c968fda949df26110baaaf88913b2397066a46c5ad1b09f1d7bc17b186c", + "code/audit.cpp": "a2d72e15d48edfc92d94f7a8c06fd792076a13182d81a5f7e22a1fa570f2305b", + "code/minors.py": "ddbfaf13ec0611dfc36acf5e9ecc1852a4f69d4da3a49679c774ba5a612450a6", + "code/tiling.py": 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b/research/w3-p10-pointwise-native-audit/receipts/INTEGRATION-REVIEW.json new file mode 100644 index 0000000000..f6649eefca --- /dev/null +++ b/research/w3-p10-pointwise-native-audit/receipts/INTEGRATION-REVIEW.json @@ -0,0 +1,19 @@ +{ + "adapter_audit_sha256": "600930d31599fd204a627229575e07f8a115c2320445f965b9ddce5c8257aa0c", + "arithmetic_audit_sha256": "f9a7d56658a7e9e14a05b2b342912eabd042b9bb9daf62a03e46315d02aa4831", + "changed_code": [ + "code/future_supplier.py", + "code/finish.py" + ], + "corrected_PR348_attribution": "Chafik Boukhalfa, substantial Anthropic Claude assistance", + "full_complex_source_regeneration_mandatory": true, + "full_cp312_replay_session": 84027, + "manifest_sha256": "eb7a1971163098dfb67b6f3c3b5a40e834c38b628e21d87c4a44c864e7576b64", + "package_files": 513, + "same_native_bit_geometry_prime_invoice_code": true, + "same_outer_stage_wrapper": true, + "scope": "Read-only source review, adapter consumption and independent arithmetic check. Full combined cp312 replay is running. F2 formal-column validation is not claimed as an independent proof of the signed integer decoder or retained recovery/analytic interfaces.", + "status": "PASS_READ_ONLY_PR348_INTEGRATION_REVIEW", + "supplier_adapter_sha256": "549cb0113100381f483d87cb148e30cd9cf1eaf9f0a6ea1b7018d71a57a16134", + "supplier_manifest_sha256": "3ec8bb8f443f02d3f33aa41d70197a864b88aaa92806ad7897362f6c86dd6e65" +} diff --git a/research/w3-p10-pointwise-native-audit/receipts/MINOR-AUDIT.json b/research/w3-p10-pointwise-native-audit/receipts/MINOR-AUDIT.json new file mode 100644 index 0000000000..bc22d6132f --- /dev/null +++ b/research/w3-p10-pointwise-native-audit/receipts/MINOR-AUDIT.json @@ -0,0 +1,13 @@ +{ + "status": "PASS_INDEPENDENT_MODULAR_DETERMINANTS_WITH_EXACT_HADAMARD_LIFT", + "frames": 13205, + "witnesses": 26410, + "distinct_minor_matrices": 10852, + "prime": 170141183460469231731687303715884105727, + "max_abs_determinant": 1062882, + "max_squared_hadamard_bound": "4000000000000", + "input_sha256": "cbb33b312198cd8b46043f7203d6daab83ae620a113e95ffb790163edc0b72f7", + "witness_sha256": "b0224be311a02f8036a3f9eecf49cdeb0fd80ad0a29f056386060633b173aaaa", + "seconds": 1.265755917003844, + "proof": "Hadamard gives abs(actual determinant) +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include + +#include +#include +using namespace std;using J=nlohmann::json;using Q=boost::multiprecision::cpp_rational;using Z=boost::multiprecision::cpp_int;using M=vector>; +J ld(string p){ifstream f(p);if(!f)throw runtime_error("missing "+p);J j;f>>j;return j;} +Q rat(J j){return j.is_string()?Q(j.get()):Q(j.get());}M eye(int n){M a(n,vector(n));for(int i=0;i(a.size()));for(int i=0;i(b[0].size()));for(int i=0;i=(Z(1)<<80)||d>=(Z(1)<<80))throw runtime_error("finite prime guard exceeded");} +M inverse(M a,int &ops,Q &det){int n=a.size();M b=eye(n);det=1;ops=0;for(int k=0;kpiv;for(int col=0;colv(n);v[free]=1;for(int i=0;iw;int count;}; +int main(int ac,char**av){if(ac!=8)throw runtime_error("args: baseline_export initial_json new_frames_json output_dir label tiling_json final_json");auto tiling=ld(av[6]);string inp=av[1],out=av[4];auto st=ld(inp+"/249-states.json"),fj=ld(inp+"/frames.json")["frames"],ini=ld(av[2]),nf=ld(av[3]),fin=ld(av[7]);int n=st["n"],v=st["v"],h=20,m=100,T=300;if(tiling["physical_replicas"]!=T)throw runtime_error("replica binding");mapdims;for(auto it=fj.begin();it!=fj.end();it++)dims[stoi(it.key())]=it.value()["dim"];for(auto it=nf.begin();it!=nf.end();it++)dims[stoi(it.key())]=it.value()["dim"]; +M G=eye(h);for(auto&r:G)for(auto&q:r)q-=Q(1)/9;J charts=J::array();int maxops=0;for(auto it=nf.begin();it!=nf.end();it++){int d=it.value()["dim"];M U;for(auto row:it.value()["B"]){vectorr;for(auto x:row)r.push_back(rat(x));U.push_back(r);}if(U.size()!=d)throw runtime_error("dim");auto UG=mul(U,G);auto V=nullspace(UG);M B=tr(V);for(int i=0;i548)throw runtime_error("inherited factor budget exceeded"); +map>fam;int sumdim=0,changed=0,deleted=0; +for(int i=0;i())*a[k].get();if(dot!=0)throw runtime_error("nonnested helper endpoints");} + sumdim+=(dims.at(oldend)-dims.at(old))-r;changed+=f!=old||end!=oldend; + if(r==0){deleted++;continue;}fam[r].push_back(physical); +} +mapexpected;for(auto it=tiling["census"].begin();it!=tiling["census"].end();++it)expected[stoi(it.key())]=it.value();int wantDeleted=tiling["deleted"],wantRank=tiling["entrance_rank"]; +if(fam.size()!=expected.size()||deleted!=wantDeleted||sumdim!=wantRank)throw runtime_error("actual residual census or saved rank"); +for(auto[r,k]:expected)if(fam[r].size()!=k)throw runtime_error("actual residual count"); +vectorpat;auto add=[&](vectorw,int count){if(count<0||accumulate(w.begin(),w.end(),0)!=m)throw runtime_error("pattern");if(count)pat.push_back({w,count});}; +auto rep=[](int r,int k){return vector(k,r);};auto mix=[&](int r,int k,int four){auto w=rep(r,k);w.insert(w.end(),four,4);return w;}; +for(auto pp:tiling["patterns"])add(pp["widths"].get>(),pp["count"]); +struct Slot{int bank,off,r,block;};map>slots;int banks=0,maxblock=0;J pj=J::array();for(auto pp:pat){maxblock=max(maxblock,(int)pp.w.size());pj.push_back({{"widths",pp.w},{"count",pp.count}});for(int b=0;b()-sumdim))throw runtime_error("bank stock invariant");uint64_t hash=1469598103934665603ull;auto hm=[&](uint64_t x){for(int j=0;j<8;j++){hash^=(x>>(8*j))&255;hash*=1099511628211ull;}};long long assignments=0,mass=0,columns=0,controls=0;for(int stage=0;stage<5;stage++){vector>occ(banks);for(auto[r,rows]:fam)for(int i=0;is{};s[col]=1;vector>bl;int o=0;for(int r:pp.w){bl.push_back({o,r});o+=r;}if(rev)reverse(bl.begin(),bl.end());for(auto[o,r]:bl)for(int j=o;js{};s[col]=1;int o=0;for(int b=0;b +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +using namespace std;using J=nlohmann::json;using Q=boost::multiprecision::cpp_rational;using Z=boost::multiprecision::cpp_int;using M=vector>; +J ld(string p){ifstream f(p);if(!f)throw runtime_error("missing "+p);J j;f>>j;return j;} +Q rat(J j){return j.is_string()?Q(j.get()):Q(j.get());}M eye(int n){M a(n,vector(n));for(int i=0;i(a.size()));for(int i=0;i(b[0].size()));for(int i=0;i=(Z(1)<<80)||d>=(Z(1)<<80))throw runtime_error("finite prime guard exceeded");} +M inverse(M a,int &ops,Q &det){int n=a.size();M b=eye(n);det=1;ops=0;for(int k=0;kpiv;for(int col=0;colv(n);v[free]=1;for(int i=0;i piv;M copy=a;for(int c=0;cpiv;for(int col=0;colv(n);v[free]=1;for(int i=0;iprojectors;auto proj=[&](int f)->M{if(projectors.count(f))return projectors[f];int d=fs.at(to_string(f))["dim"];if(d==h)return projectors[f]=eye(h);if(!d)return projectors[f]=M(h,vector(h));M B;for(auto row:fs.at(to_string(f))["B"]){vectorr;for(auto x:row)r.push_back(rat(x));B.push_back(r);}int ops;Q det;M BG=mul(B,G), gram=mul(BG,tr(B)), inv=inverse(gram,ops,det);return projectors[f]=mul(mul(tr(B),inv),BG);};set>pairs,oldpairs;int endpoints=0; +auto events=[&](string path){ifstream f(path,ios::binary);if(!f)throw runtime_error("missing word");f.seekg(0,ios::end);size_t size=f.tellg();f.seekg(0);if(size%sizeof(Ev))throw runtime_error("word shape");vectorv(size/sizeof(Ev));f.read((char*)v.data(),size);return v;}; +for(auto e:events(base+"/COHORT249-RECORDS.bin"))if(e.op==0&&e.r)oldpairs.insert({e.b,e.c,e.r}); +for(auto e:events(candidate+"/COHORT249-RECORDS.bin"))if(e.op==0&&e.r&&!oldpairs.count({e.b,e.c,e.r}))pairs.insert({e.b,e.c,e.r}); +J oldstate=ld(base+"/249-states.json");int v=oldstate["v"],n=oldstate["n"]; +for(int a=2*v;a()||after!=oldstate["final"][role].get()){int rank=fs.at(to_string(after))["dim"].get()-fs.at(to_string(before))["dim"].get();pairs.insert({before,after,rank});endpoints++;}} + +int maxops=0,checked=0;J charts=J::array();for(auto[before,after,r]:pairs){M E=sub(proj(after),proj(before));if(mul(E,E)!=E)throw runtime_error("not projector");M C=independent_columns(E);if(C[0].size()!=r)throw runtime_error("rank mismatch");M K=kernel_general(E);if(K.size()!=h-r)throw runtime_error("nullity mismatch");for(int i=0;i548)throw runtime_error("factor budget exceeded");J receipt={{"status","PASS_EXACT_CHANGED_ENDPOINT_AND_MOVE_CHARTS"},{"retired_endpoints",endpoints},{"unique_projectors_checked",checked},{"max_factors",maxops},{"max_numerator",maxnum.str()},{"max_denominator",maxden.str()},{"all_entries_below_two_to_80",true}};ofstream(output+"/COMBINED-CHART-AUDIT.json")< +#include +using boost::multiprecision::cpp_int; +#include +#include +#include +#include +#include +#include +#include +using J=nlohmann::json; +struct E{int kind,dst,src,c;}; +void need(bool x,const char*s){if(!x)throw std::runtime_error(s);} +int main(int argc,char**argv){try{ +need(argc==6,"usage RAW6_RECORDS OUTPUT V HELPERS H");std::string pre=argv[1];int h=std::stoi(argv[5]),v=std::stoi(argv[3]),r=std::stoi(argv[4]),loc=2*v+r,global=4*v+r,temp=global;need(v>0 && r>=0,"dimensions"); +struct Raw{int op,a,b,c,f,z;};std::ifstream f(pre,std::ios::binary|std::ios::ate);size_t sz=f.tellg();need(sz%sizeof(Raw)==0,"stream alignment");std::vectorp(sz/sizeof(Raw));f.seekg(0);f.read((char*)p.data(),sz);std::vectore;std::mapH;for(auto q:p){if(q.op==0){if(q.f)H[q.f]++;}else if(q.op==1)e.push_back({0,q.a,q.b,q.c});else if(q.op==2){H[q.z]++;e.push_back({1,loc,q.a,0});}else if(q.op==3)e.push_back({2,loc,q.a,0});else need(false,"opcode");} +J prefix=J::array();cpp_int largestF=0,largestB=0;for(int rev=0;rev<2;rev++){std::vectornorms(loc+1,1);cpp_int maxrow=1;bool isopen=false;for(size_t z=0;zmaxrow)maxrow=norms[q.dst];}else if(k==1){need(!isopen,"boundcopy");norms[loc]=norms[q.src];isopen=true;}else {need(isopen,"bounderase");norms[loc]=0;isopen=false;}}need(!isopen,"prefix copy closure");if(rev)largestB=maxrow;else largestF=maxrow;prefix.push_back({{"reverse",bool(rev)},{"cancellation_free_signed_row_l1_upper",maxrow.convert_to()},{"bits",boost::multiprecision::msb(maxrow)+1}});} +cpp_int payload=64*largestF*largestF*largestF*largestB*largestB;need(payload>0,"positive finite prefix"); // Exact width is reported and must be included in the separate finite invoice. +long long copies=0,adds=0,odd=0;bool open=false;int center=-1;long long reverseCopies=0; +for(auto q:e){need(q.kind>=0&&q.kind<=2,"kind");need(q.dst>=0&&q.dst<=loc,"local dst");if(q.kind==0){need(q.src>=0&&q.src<=loc&&q.dst!=q.src,"source distinct");need(q.dst!=loc,"copy immutable");need(q.src!=loc||open,"temp not open");if(open)need(q.dst!=center,"source changes inside copied-center block");adds++;odd+=q.c&1;} +else if(q.kind==1){need(!open&&q.dst==loc&&q.src>=0&&q.srca((size_t)(global+1)*words);auto row=[&](int i){return a.data()+(size_t)i*words;};for(int i=0;i=v&&i<2*v&&w==(size_t)(i-v)/64)want^=1ull<<((i-v)%64);need(x[w]==want,"local defining-decoder full formal column");}}} +if(stage==1||stage==2||stage==4){int b=stage==1?0:stage==2?1:2;for(auto q:bridges[b])for(int i=0;i(std::chrono::steady_clock::now()-t0).count()<<"s\n";} +for(int bank=0;bank<4;bank+=2)for(int i=0;i()},{"payload_prefix_bits",boost::multiprecision::msb(payload)+1},{"local_raw_H",H},{"negative_controls",controls},{"seconds",std::chrono::duration(std::chrono::steady_clock::now()-t0).count()}};std::ofstream(argv[2])<=2*v]if isfinal else list(range(n-2*v)) + meta=dict(n=len(survivors)if isfinal else n,v=v,ZERO=st['ZERO'],FULL=st['FULL'],raw_sha256=sha(records)) + write(out/'meta.json',meta);write(out/'regs.json',regs) + for end in ('initial','final'): + write(out/(end+'.json'),{str(mapping[int(i)]):f for i,f in st[end].items()if int(i)in mapping and int(i)1 for k in ('first_next','second_next')) + assert len(price['assembly']['strict_constraints'])==47 and min(map(Q,price['assembly']['strict_constraints'].values()))>0 + cv=read(out/'complex-reserve/VERIFICATION.json');binding=price['complex_supplier']['source_binding'] + assert cv['status']=='PASS_PORTABLE_REGENERATED_PR348_P10_COMPLEX_SUPPLIER' and cv['inputs_unchanged'] and cv['producer_regeneration_claim'] is True + assert cv['manifest_sha256']==binding['manifest_sha256']==pin['complex_reserve']['manifest_sha256']==sha(ROOT/'vendor/complex-reserve/MANIFEST.json') + assert Q(cv['complex_coarse'])==Q(price['complex_saving'])==Q(pin['complex_reserve']['coarse']) + assert binding['adapter_sha256']==sha(ROOT/'code/future_supplier.py') and binding['all_supplier_stages_fresh'] and binding['declarative_source'] and binding['producer_regeneration_claim'] + for name,h in binding['receipt_hashes'].items():assert sha(out/'complex-reserve'/name)==h + ref=read(out/'REFINEMENT.json');assert ref['status']=='PASS_P10_PRIME_THRESHOLD_FULL_INVOICE_TWO_MOMENTS_FINITE_BOOTSTRAP_OUTER47' + assert Q(ref['native_kappa'])==Q(price['kappa'])0 + assert int(inv['full_counted_primitive_coefficient'])==ref['complete_literal_invoice']['coefficient']==E['coefficient'] and inv['payload_bits']==88 + names=['source-regeneration/REGENERATION.json','COMPACTION.json','EXPORT.json','ROLE-MAP.json','LEGALITY.json','COLUMNS.json','REFLECTED-LEDGERS.json','TILING.json','BANK.json','FRAME-PRIMES.json','PRICE.json','INVOICE.json','REFINEMENT.json'] + names+=['predecessor/'+n for n in ('verification.json','certificate.json','complex.json','primes.json','banks.json','math.json')] + names+=['complex-reserve/'+n for n in binding['receipt_hashes']] + names+=geometry_files + result=dict(status='PASS_SOURCE_BOUND_W3_P10_COMPLETE_NATIVE_CONDITIONAL_CONSTRUCTION',kappa=pin['kappa'],native_kappa=pin['native_kappa'],word_sha256=pin['final_word_sha256'],source_regenerated=True,complex_declarative_source=True,complex_producer_regeneration_claim=True,physical_replicas=300,literal_stock=bank['literal_stock'],normalized_stock=bank['normalized_stock'],helper_assignments=bank['actual_role_replica_stage_assignments'],new_frame_charts=320,changed_projector_charts=1776,new_chart_factor_max=bank['max_new_chart_factors'],normalizer=787,finite_coefficient=E['coefficient'],selector_charge=bank['selector_charge'],payload_bits=88,bootstrap_levels=E['bootstrap_levels'],scope=ref['scope'],fresh_receipt_hashes={n:sha(out/n)for n in names}) + (out/'CERTIFICATE.json').write_text(json.dumps(result,sort_keys=True,indent=2)+'\n');print('PASS integrated source-bound Design T/twins '+pin['kappa'],flush=True) + +if __name__=='__main__':finish(sys.argv[1]) diff --git a/research/w3-p10-pointwise-native/code/frame_prime_minors.py b/research/w3-p10-pointwise-native/code/frame_prime_minors.py new file mode 100644 index 0000000000..2105355a44 --- /dev/null +++ b/research/w3-p10-pointwise-native/code/frame_prime_minors.py @@ -0,0 +1,65 @@ +#!/usr/bin/env python3 +"""Exact full-row-rank witnesses for actual new frame bases and annihilators. +Prepared with substantial OpenAI Codex assistance; Apache-2.0. +A nonzero integer minor of magnitude below 2^80 stays nonzero over every +prime field of characteristic greater than 2^80. No factorization oracle. +""" +import sys +if not __debug__:raise SystemExit('Assertions required') +sys.dont_write_bytecode=True +import argparse,hashlib,json +from pathlib import Path +P=2147483647 + +def columns(rows): + if not rows:return [] + a=[[int(x)%P for x in row]for row in rows];m=len(a);n=len(a[0]);r=0;cols=[] + for c in range(n): + k=next((k for k in range(r,m)if a[k][c]),None) + if k is None:continue + a[k],a[r]=a[r],a[k];iv=pow(a[r][c],-1,P);a[r]=[iv*x%P for x in a[r]] + for k in range(r+1,m): + if a[k][c]:z=a[k][c];a[k]=[(x-z*y)%P for x,y in zip(a[k],a[r])] + cols.append(c);r+=1 + if r==m:return cols + raise AssertionError('Frame rows fail independent modular witness') + +def determinant(a): + n=len(a) + if not n:return 1 + a=[list(row)for row in a];sign=1;prev=1 + for k in range(n-1): + pivot=next((i for i in range(k,n)if a[i][k]),None) + if pivot is None:return 0 + if pivot!=k:a[k],a[pivot]=a[pivot],a[k];sign=-sign + p=a[k][k] + for i in range(k+1,n): + for j in range(k+1,n): + value=a[i][j]*p-a[i][k]*a[k][j];assert value%prev==0;a[i][j]=value//prev + a[i][k]=0 + prev=p + return sign*a[-1][-1] + +def witness(rows): + c=columns(rows);d=determinant([[int(row[k])for k in c]for row in rows]);assert 0 +#include "json.hpp" +#include +#include +#include +#include +#include +#include +using namespace std;using namespace boost::multiprecision;using J=nlohmann::json;using I=cpp_int;using Q=cpp_rational; +void need(bool x,const char*s){if(!x)throw runtime_error(s);}J load(string p){ifstream f(p);need(bool(f),"missing input");J j;f>>j;return j;} +Q rat(string s){auto p=s.find('/');return p==string::npos?Q(I(s)):Q(I(s.substr(0,p)))/I(s.substr(p+1));}I ceilQ(Q x){return (numerator(x)+denominator(x)-1)/denominator(x);}struct E{int op,a,b,c,f,z;}; +int main(int argc,char**argv){try{need(argc==6,"usage RECORDS ROOT_PRICE BANK_RECEIPT FIVE_STAGE_RECEIPT OUTPUT");ifstream f(argv[1],ios::binary|ios::ate);size_t bytes=f.tellg();need(bytes%sizeof(E)==0,"ABI");vectorev(bytes/sizeof(E));f.seekg(0);f.read((char*)ev.data(),bytes);J price=load(argv[2])["cohort_candidate"],bank=load(argv[3]),global=load(argv[4]);mapH;I adds=0,units=0,copies=0;for(auto e:ev){if(e.op==0&&e.f)H[e.f]++;else if(e.op==1){adds++;units+=abs(e.c);}else if(e.op==2){H[e.z]++;copies++;}}need(copies==20&&adds>0&&units>=adds,"actualword inventory");int m=100,v=960,R=bank["actual_helper_roles"],T=300,N=2*m,d=m*m,stock=bank["literal_stock"];need(bank["physical_replicas"]==T,"replica binding");need(stock==bank["normalized_stock"].get()*5&&bank["actual_role_replica_stage_assignments"]==5*T*R,"actualbanks");need(bank["new_exact_charts"].get()>0&&bank["max_new_chart_factors"]<=548&&I(bank["max_intermediate_denominator"].get())<(I(1)<<80)&&I(bank["max_intermediate_numerator"].get())<(I(1)<<80),"newchart invoice");mapL;for(auto[r,n]:H)L[r]+=5*T*n;for(int r:{4,19,38,42})L[r]+=T*2*v;I Ecount=0,mass=0;J hh=J::object();for(auto[r,n]:L){Ecount+=n;mass+=r*n;need(r<50,"half-shrink");hh[to_string(r)]=n.convert_to();need(n==5*price["histogram"][to_string(r)].get(),"fullH versusnormalizedprice");}need(m*I(stock)-mass==612000,"physicaldeficit");need(price["stock"].get()*5==stock,"literalstock notnormalized");Q mu=rat(price["moment_upper"]);need(mu<1,"strict moment");Q c=rat(price["coarse"]),deltaTau=1-mu,deltaLin=1-Q(mass)/(m*stock)-Q(32*m)*Ecount/(I("10000000000000000")*stock);need(deltaLin>0,"linear fallback");I Jroute=T*(24*v+10*R),good=8*m*m+8,high=16*I(d+1)*(d+1),K=2*5*T*(I(stock-1)+I(R)*100*787),weighted=T*(5*adds+6*v),unit=T*(5*units+6*v);need(K==bank["selector_charge"].get()&&K<(I(1)<<41),"all selector factors");I F=I(global["signed_lift_prefix"][0]["cancellation_free_signed_row_l1_upper"].get()),B=I(global["signed_lift_prefix"][1]["cancellation_free_signed_row_l1_upper"].get()),payload=64*F*F*F*B*B;need(payload<(I(1)<<104),"payload prefix");I coeff=unit+Jroute*high+Jroute*(stock+20)+Ecount*good+Ecount*(128*I(N)*N*N)+16*I(m)*m*m+100*T+Ecount+K+1;need(coeff<(I(1)<<80)&&2*I(m)*m*m*I("10000000000000000")<(I(1)<<80),"fixed coefficient below prime threshold");need(I(stock+20)<(I(1)<<80),"stocklessprime");Q previous=rat("384599/10000000000");J cuts=J::array();for(int stage=0;stage<3;stage++){Q a=(1-c)*c+c*previous;vectorgaps={c-a,1-a-c,1-a-c*(1-previous),1-c};Q gap=*min_element(gaps.begin(),gaps.end());need(gap>0,"ordinary cutoff gap");I L1=ceilQ(36/(gap*gap)),L2=ceilQ(2*(4+msb(coeff)+1)/gap),cut=max(I(1),max(L1,L2));need(Q(cut)*gap*gap>=36&&Q(cut)*gap>=2*(4+msb(coeff)+1),"cutoff inequality");cuts.push_back({{"stage",stage+1},{"minimum_gap",gap.str()},{"counted_coefficient_cutoff_log2",cut.convert_to()},{"general_rule","For full inherited constants C_full>=counted coefficient, replace C by C_full in max(1,ceil(36/delta^2),ceil(2*(4+ceil(log2 C))/delta))."}});previous=a;} +J out={{"status","PASS_COHORT_LITERAL_FIVE_STAGE_FINITE_INVOICE_AND_POSITIVE_CUTOFFS"},{"physical_replicas",T},{"literal_stock",stock},{"normalized_stock",price["stock"]},{"positive_rank_children",Ecount.convert_to()},{"literal_rank_mass",mass.convert_to()},{"literal_deficit",612000},{"literal_histogram",hh},{"global_weighted_additions",weighted.convert_to()},{"global_unit_expanded_additions",unit.convert_to()},{"route_families",Jroute.convert_to()},{"normalizer_factor_bound",787},{"new_chart_factor_max",bank["max_new_chart_factors"]},{"extra_selector_calls",K.convert_to()},{"full_counted_primitive_coefficient",coeff.convert_to()},{"primitive_coefficient_bits",msb(coeff)+1},{"payload_signed_prefix_upper",payload.convert_to()},{"payload_bits",msb(payload)+1},{"internal_row_coefficient",10001},{"external_complex_row_coefficient",20161},{"simultaneous_extra_work_streams",1},{"strict_moment_slack",deltaTau.str()},{"linear_moment_slack",deltaLin.str()},{"ordinary_cutoffs",cuts},{"scope","Sufficient finite invoice for the literal new cohort word, 300 physical replicas and fully admitted bank stock; original 40dim route, retained odd-prime rational address grid, common-ancestor compiler and complex recovery interfaces are inherited unchanged. No Lean or independent certification of those underlying public theorems asserted."}};ofstream(argv[5])< +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include + +#include +#include +using namespace std;using nlohmann::json;struct Ev{int k,a,b,c,f,z;};struct F{int d;vector>B,A;};json ld(string p){json j;ifstream(p)>>j;return j;}int main(int ac,char**av){if(ac!=4)return 2;string in=av[1],out=av[2];auto st=ld(in+"/249-states.json"),fj=ld(in+"/frames.json"),nf=ld(out+"/COHORT249-FRAMES.json"),ii=ld(out+"/COHORT249-INITIAL.json"),sel=ld(out+"/COHORT249-SELECTION.json");int n=st["n"],v=st["v"],h=fj["h"],zero=st["ZERO"];mapfs;long long maxabs=0;int oldmax=0;for(auto it=fj["frames"].begin();it!=fj["frames"].end();++it){int k=stoi(it.key());oldmax=max(oldmax,k);F f{it.value()["dim"],it.value()["B"],it.value()["A"]};for(auto M:{f.B,f.A})for(auto r:M)for(auto x:r)maxabs=max(maxabs,llabs(x));fs[k]=f;}for(auto it=nf.begin();it!=nf.end();++it){int k=stoi(it.key());if(fs.count(k))throw runtime_error("new frame collides");fs[k]={it.value()["dim"],it.value()["B"],it.value()["A"]};}map,bool>cache;long long contain=0;auto sub=[&](int a,int b){if(!fs.count(a)||!fs.count(b))throw runtime_error("unknown frame");auto k=make_pair(a,b);if(cache.count(k))return cache[k];contain++;bool ok=fs[a].d<=fs[b].d;for(auto r:fs[a].B)for(auto s:fs[b].A){boost::multiprecision::cpp_int d=0;for(int i=0;ichosen;auto final=ld(out+"/COHORT249-FINAL.json");setrestored; +for(int r=0;rstate(n+1,zero);for(auto it=ii.begin();it!=ii.end();++it)state[stoi(it.key())]=it.value();bool copied=false;int copySource=-1;long long mov=0,adds=0,cop=0,era=0,mass=0;maphist;Ev e;ifstream f(out+"/COHORT249-RECORDS.bin",ios::binary);long long records=0;while(f.read((char*)&e,sizeof e)){records++;if(e.a<0||e.a>n||(e.k!=0&&(e.b<0||e.b>n)))throw runtime_error("bad role id");if(e.k==0){if(e.a==n&&!copied)throw runtime_error("move inactive temporary");if(state[e.a]!=e.b||!sub(e.b,e.c)||fs[e.c].d-fs[e.b].d!=e.f)throw runtime_error("illegal or mispriced MOVE");state[e.a]=e.c;if(e.f){hist[e.f]++;mass+=e.f;}mov++;}else if(e.k==1){if(state[e.a]!=e.f||state[e.b]!=e.f)throw runtime_error("ADD not in common frame");if((e.a==n||e.b==n)&&!copied)throw runtime_error("ADD inactive temporary");if(e.a==e.b)throw runtime_error("self ADD");if(copied&&(e.a==copySource||e.a==n))throw runtime_error("copied source or temporary mutated inside COPY window");adds++;}else if(e.k==2){if(copied||e.b!=n||state[e.a]!=e.c)throw runtime_error("invalid COPY lifecycle");if(e.z!=fs[e.c].d)throw runtime_error("COPY rank");copied=true;copySource=e.a;state[n]=e.f;hist[e.z]++;mass+=e.z;cop++;}else if(e.k==3){if(!copied||e.b!=n||e.a!=copySource||state[e.a]!=e.c||state[n]!=e.f)throw runtime_error("invalid ERASE lifecycle");copied=false;era++;}else throw runtime_error("unknown event");}if(copied||cop!=h||era!=h)throw runtime_error("unclosed COPY");for(int s=0;s +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#endif diff --git a/research/w3-p10-pointwise-native/code/price.py b/research/w3-p10-pointwise-native/code/price.py new file mode 100644 index 0000000000..2ea156dfda --- /dev/null +++ b/research/w3-p10-pointwise-native/code/price.py @@ -0,0 +1,51 @@ +#!/usr/bin/env python3 +"""Price the actual p10 composed word with PR315's two engines and complete fallback. +Prepared with OpenAI Codex assistance; Apache-2.0. PR315 math interfaces are inherited. +""" +import sys +if not __debug__:raise SystemExit('assertions required') +sys.dont_write_bytecode=True +sys.set_int_max_str_digits(0) +from pathlib import Path +from fractions import Fraction as Q +from collections import Counter +import argparse,hashlib,json,struct,importlib.util +ROOT=Path(__file__).resolve().parents[1];SRC=ROOT/'vendor/predecessor';sys.path.insert(0,str(SRC)) +def load(n,p): + s=importlib.util.spec_from_file_location(n,p);m=importlib.util.module_from_spec(s);s.loader.exec_module(m);return m + +def run(candidate,bank_path,complex_path,output,source_root=None,complex_reserve=None,complex_reserve_proof=None): + global SRC + if source_root:SRC=Path(source_root).resolve();sys.path.insert(0,str(SRC)) + candidate=Path(candidate);read=lambda p:json.loads(Path(p).read_text());bank=read(bank_path);st=read(candidate/'249-states.json');fs=read(candidate/'frames.json')['frames'];raw=(candidate/'COHORT249-RECORDS.bin').read_bytes();digest=hashlib.sha256(raw).hexdigest();assert st['record_sha256']==digest + H=Counter();adds=units=copies=0 + for op,a,b,c,f,z in struct.iter_unpack('<6i',raw): + if op==0 and f:H[f]+=1 + elif op==2:H[z]+=1;copies+=1 + elif op==1:adds+=1;units+=abs(c) + assert copies==20 and adds>0 + residual=sum(fs[str(st['final'][str(i)])]['dim']-fs[str(st['initial'][str(i)])]['dim'] for i in range(2*st["v"],st["n"])) + stock=bank['normalized_stock'];assert bank['physical_replicas']==300;assert bank['literal_stock']==5*stock and 100*bank['banks_per_stage']==300*residual + assert bank['literal_stock']==4*960*300+5*bank['banks_per_stage'] + hist={r:300*n for r,n in H.items()} + for r in (4,19,38,42):hist[r]=hist.get(r,0)+115200 + calls=sum(hist.values());mass=sum(r*n for r,n in hist.items());assert 100*stock-mass==122400 and max(hist)==42 + cost=load('composition_cost',SRC/'moment.py');other=load('composition_other',SRC/'base_two_moment.py');outer=load('composition_outer',SRC/'outer.py');upmath=load('composition_upmath',SRC/'math_check.py') + root=cost.certify(hist,100,stock,True);coarse=Q(int(Q(root['lower'])*10**18),10**18);step=Q(1,10**18) + first=cost.moment(hist,100,stock,coarse,True);first_next=cost.moment(hist,100,stock,coarse+step,True);assert first[1]<10;chain.append(new);gaps.append(row) + leaf=chain[-1];bridge=dict(proof='vendor/pr315/PROOF.md',representation='Exact powers with source-bound finite overcharges',semantic=dict(G=dict(base=2,exponent=30000),E=dict(base=2,exponent=100000),B_upper=dict(base=2,exponent=100001),C0=dict(base=2,exponent=210000),C1=1,strict_literal_gap=1,induction_gap_lower=1),rows=dict(coefficient=20161,degree=10**6,suffix_slope=4*10**6,degree_gap=Q(10**6)-Q(51*20161,25))) + q=leaf*(1-2*eta);minimum=(1-eta)*q/(1+q);ticks=minimum*10**18;k=Q((ticks.numerator-1)//ticks.denominator,10**18);assembly=outer.assembly(leaf,b,bridge,k,eta=eta,beta=beta) + assert len(assembly['strict_constraints'])==47 and min(assembly['strict_constraints'].values())>0 + try:outer.assembly(leaf,b,bridge,k+step,eta=eta,beta=beta) + except AssertionError:pass + else:raise AssertionError('adjacent kappa admitted') + result=dict(complex_reserve=dict(package=str(Path(complex_reserve).resolve()),proof=str(Path(complex_reserve_proof).resolve()),binding=supplier['source_binding']) if complex_reserve else None,status='PASS_ACTUAL_P10_COMPOSED_WORD_TWO_MOMENTS_AND_47_CONSTRAINTS',source_word_sha256=digest,adds=adds,unit_adds=units,local_histogram=dict(H),local_rank_mass=sum(r*n for r,n in H.items()),residual=residual,cohort_candidate=dict(stock=stock,histogram=hist,calls=calls,rank_mass=mass,deficit=122400,coarse=s,moment_upper=first[1] if s==coarse else cost.moment(hist,100,stock,s,True)[1],kappa=k),first_interval=first,first_next=first_next,second_interval=second,second_next=second_next,ordinary_chain=chain,ordinary_gaps=gaps,assembly=assembly,kappa=k,bit_root=coarse,complex_saving=b,complex_supplier=supplier,complex_binds=s=0 + if difference:H[difference]+=1 + state[t]=new + elif op==1: + assert state[t]==state[s]==fid and t!=s + assert t!=n and (s!=n or open_source is not None) + assert open_source is None or t!=open_source + elif (op==3 if rev else op==2): + assert open_source is None and s==n and state[t]==v and n not in state + # Reflection swaps the rank difference's orientation; the paid extraction + # rank remains dim(source)-dim(temporary), independently of basis choice. + assert z==fs[v]['dim']-fs[fid]['dim'] and z>0 + open_source=t;state[n]=fid;H[z]+=1 + else: + assert s==n and open_source==t and state[t]==v and state[n]==fid + open_source=None;del state[n] + assert open_source is None and state=={int(k):v for k,v in end.items()} + assert counts[2]==counts[3]==h + results.append(dict(reverse_complement=rev,records=len(ev),operations=dict(counts),paid_histogram=dict(H),rank_mass=sum(r*c for r,c in H.items()),copies=h,all_endpoints_exact=True,common_frame_adds=True,copy_original_source_immutable=True)) +assert results[0]['paid_histogram']==results[1]['paid_histogram'] +# Reject a rank-changing endpoint overcharge directly on the actual primitive. +try:sub(st['FULL'],st['ZERO'],False) +except AssertionError:negative=True +else:raise AssertionError('non-nested control accepted') +out=dict(status='PASS_BOTH_CHRONOLOGICAL_REFLECTED_FRAME_LEDGERS_AND_PAID_HISTOGRAMS',source_word_sha256=hashlib.sha256(raw).hexdigest(),frame_sha256=hashlib.sha256((c/'frames.json').read_bytes()).hexdigest(),state_sha256=hashlib.sha256((c/'249-states.json').read_bytes()).hexdigest(),containment_pairs=sub.cache_info().currsize,non_nested_control_rejected=negative,ledgers=results,scope='Exact original B/A dot products and both chronological frame/state ledgers; separate native frame-minor and projector receipts certify ranks/nondegeneracy. Complementary COPY uses the same paid rank difference with its orientation reversed.') +a.output.write_text(json.dumps(out,sort_keys=True,indent=2)+'\n');print('PASS both reflected ledgers',len(ev),results[0]['rank_mass'],flush=True) diff --git a/research/w3-p10-pointwise-native/code/source_tiling.py b/research/w3-p10-pointwise-native/code/source_tiling.py new file mode 100644 index 0000000000..8c5a96ea83 --- /dev/null +++ b/research/w3-p10-pointwise-native/code/source_tiling.py @@ -0,0 +1,84 @@ +"""Exact tiling and economy fallback extracted without algorithm changes from PR320. +Source bank_template.py retained in frozen PR322 predecessor; source SHA256 1c124900095abfd0c06cba507c2ed804f5475bea1b3f698ef66d412417ad4264. +Original p10 port by DreamingOfClouds with Anthropic Claude assistance; economy fallback by Chafik Boukhalfa with Anthropic Claude assistance. +Extraction and downstream integration prepared with OpenAI Codex assistance; Apache-2.0. +""" +from collections import Counter + +def tile(blocks, m): + """Exact tiling of {width: number of blocks} into banks of total width m, as ((widths, banks), ...). + + A width dividing m fills pure banks. A width w not dividing m is mixed with a filler width f dividing m: + banks w^a f^b with a maximal (w*a + f*b = m), then at most one bank w^r f^t for the remainder r. Fillers + are tried in a fixed order (most blocks first) with backtracking until every pure width also divides out. + Fails (AssertionError) unless every block is used and every bank is full; there is no padding.""" + blocks = {w: n for w, n in blocks.items() if n} + assert all(0 < w <= m for w in blocks) + mixed = sorted(x for x in blocks if m % x) + + def search(i, left, out): + if i == len(mixed): + if any(left[w] % (m // w) for w in left): return None + return out + [(tuple([w]*(m // w)), left[w]//(m // w)) for w in sorted(left) if left[w]] + w = mixed[i]; n = blocks[w] + for f in sorted(left, key=lambda x: (-left[x], x)): + a = next((a for a in range(m // w, 0, -1) if (m - w*a) % f == 0), None) + if a is None: continue + b = (m - w*a)//f; q, r = divmod(n, a) + if r and (m - w*r) % f: continue + t = (m - w*r)//f if r else 0 + if q*b + t > left[f]: continue + rest = dict(left); rest[f] -= q*b + t + found = search(i + 1, rest, out + ([(tuple([w]*a + [f]*b), q)] if q else []) + ([(tuple([w]*r + [f]*t), 1)] if r else [])) + if found is not None: return found + return None + out = search(0, {w: n for w, n in blocks.items() if not m % w}, []) + if out is None: out = economy_tile(blocks, m) + assert all(sum(widths) == m and count > 0 for widths, count in out) + used = Counter() + for widths, count in out: + for x in widths: used[x] += count + assert used == Counter(blocks), 'every block used exactly once' + return tuple(out) + + +def economy_tile(blocks, m): + """Exact zero-padding tiling used when the filler search of tile() runs out of filler blocks (the kernel pivots + and early restorations of the stage stack add many residual widths that do not divide m; the PR #299 analogue at + p = 12 was the (r^4, 24, 4^(24-r)) re-tiling). The fillers are the two most numerous widths dividing m (here the + full helper width h and the rank-4 entrance residual). Each other width w, in decreasing order, gets the bank + w^a F^c f^b (w*a + F*c + f*b = m) that spends the fewest narrow fillers f per w block (then the largest a), plus + at most one bank w^r F^c' f^b' for the remainder r = n mod a. The leftover fillers fill pure banks F^(m/F), + f^(m/f) and y residue banks F^j f^k. Every bank sums to m and every block is used exactly once (no padding).""" + from fractions import Fraction + blocks = {w: n for w, n in blocks.items() if n} + div = sorted((w for w in blocks if m % w == 0), key=lambda w: (-blocks[w], w)) + assert len(div) >= 2, ('economy tiling needs two filler widths', blocks) + F, f = sorted(div[:2], reverse=True) + + def fill(rest): + """(c, b) with F*c + f*b = rest, c maximal (fewest narrow fillers); None if impossible.""" + return next(((c, (rest - F*c)//f) for c in range(rest//F, -1, -1) if (rest - F*c) % f == 0), None) + + left = {F: blocks[F], f: blocks[f]}; out = [] + for w in sorted((x for x in blocks if x not in (F, f)), reverse=True): + n = blocks[w] + opts = [(Fraction(cb[1], a), -a, a, cb) for a in range(m//w, 0, -1) for cb in [fill(m - w*a)] if cb] + assert opts, ('no bank for width', w) + _, _, a, (c, b) = min(opts); q, r = divmod(n, a) + if q: out.append(((w,)*a + (F,)*c + (f,)*b, q)); left[F] -= q*c; left[f] -= q*b + if r: + cb = fill(m - w*r); assert cb, ('no remainder bank', w, r) + out.append(((w,)*r + (F,)*cb[0] + (f,)*cb[1], 1)); left[F] -= cb[0]; left[f] -= cb[1] + assert left[F] >= 0 and left[f] >= 0, ('fillers exhausted', left) + pF, pf = m//F, m//f + for y in range((pF*pf) + 1): + for j in range(1 if y else 0, pF if y else 1): + if (m - F*j) % f: continue + k = (m - F*j)//f; aF, af = left[F] - y*j, left[f] - y*k + if aF >= 0 and af >= 0 and aF % pF == 0 and af % pf == 0: + out += ([((F,)*j + (f,)*k, y)] if y else []) + ([((F,)*pF, aF//pF)] if aF else []) + ([((f,)*pf, af//pf)] if af else []) + return out + raise AssertionError(('no exact zero-padding tiling', blocks, m)) + + diff --git a/research/w3-p10-pointwise-native/code/threshold_bootstrap.py b/research/w3-p10-pointwise-native/code/threshold_bootstrap.py new file mode 100644 index 0000000000..e2fac0cb34 --- /dev/null +++ b/research/w3-p10-pointwise-native/code/threshold_bootstrap.py @@ -0,0 +1,168 @@ +#!/usr/bin/env python3 +"""Source-bound prime-threshold and finite bootstrap on a fully replayed p10 T300 word. +Arithmetic enclosure primitives: PR321 c76247701762feb2c5bea5bcf302b010eb7d1bc3, +prepared with OpenAI Codex assistance. Literal-word rebinding and invoice reconstruction +prepared with OpenAI Codex assistance. Apache-2.0. All inherited hypotheses remain. +""" +import sys +if not __debug__:raise SystemExit('Assertions must remain enabled; refusing optimization') +sys.dont_write_bytecode=True +sys.set_int_max_str_digits(0) +from pathlib import Path +from fractions import Fraction as Q +from collections import Counter +import argparse,hashlib,importlib.util,json,struct +ROOT=Path(__file__).resolve().parent +P=(1<<127)-1; GRID=10**27; ETA=Q(1,10**24); BETA=Q(1,10**9); INITIAL=Q(384599,10**10) +def sha(path):return hashlib.sha256(Path(path).read_bytes()).hexdigest() +def read(path):return json.loads(Path(path).read_text()) +def load(name,path): + s=importlib.util.spec_from_file_location(name,path);m=importlib.util.module_from_spec(s);s.loader.exec_module(m);return m +def serial(x): + if isinstance(x,Q):return str(x) + if isinstance(x,dict):return {str(k):serial(v)for k,v in x.items()} + if isinstance(x,(list,tuple)):return list(map(serial,x)) + return x + +def census(path): + H=Counter();adds=units=copies=erasures=records=0 + data=Path(path).read_bytes();assert len(data)%24==0 + for op,a,b,c,f,z in struct.iter_unpack('<6i',data): + records+=1 + if op==0 and f:H[f]+=1 + elif op==1:adds+=1;units+=abs(c) + elif op==2:H[z]+=1;copies+=1 + elif op==3:erasures+=1 + else:assert op==0 + assert copies==erasures==20 + return H,adds,units,records + +def invoice(word,bank,columns,price,inv): + m=100;h=20;v=960;T=bank['physical_replicas'];assert T>0 and T%5==0 + R=bank['actual_helper_roles'];stock=bank['literal_stock'];norm=bank['normalizer_factor_ceiling'] + assert bank['actual_role_replica_stage_assignments']==5*T*R + assert stock==4*v*T+5*bank['banks_per_stage']==5*bank['normalized_stock'] + residual={int(r):n for r,n in bank['residual_families'].items()};used=Counter() + for row in bank['bank_patterns']: + assert sum(row['widths'])==m and row['count']>0 + for r in row['widths']:used[r]+=row['count'] + assert used=={r:T*n for r,n in residual.items()} and sum(residual.values())==R + assert sum(row['count']for row in bank['bank_patterns'])==bank['banks_per_stage'] + H,adds,units,nrecords=census(word);literal=Counter({r:5*T*n for r,n in H.items()}) + for r in (4,19,38,42):literal[r]+=2*v*T + E=sum(literal.values());mass=sum(r*n for r,n in literal.items()) + assert max(literal)==42 and m*stock-mass==2040*T + assert dict(literal)=={int(r):int(n)for r,n in inv['literal_histogram'].items()}=={int(r):5*n for r,n in price['cohort_candidate']['histogram'].items()} + assert price['adds']==adds and price['unit_adds']==units and price['local_rank_mass']==sum(r*n for r,n in H.items()) + assert dict(H)=={int(r):n for r,n in price['local_histogram'].items()}==dict(columns['local_raw_H']) + assert columns['independent_dirty_registers']==R and columns['local_scalar_additions']==adds + assert columns['fresh_center_copies']==100 and columns['copied_center_original_source_immutable'] + assert len(columns['negative_controls'])==6 and all(c['rejected']for c in columns['negative_controls']) + N=2*m;d=m*m;J=T*(24*v+10*R);K=2*5*T*((stock-1)+R*m*norm) + weighted=T*(5*adds+6*v);unit=T*(5*units+6*v) + components=dict(unit_expanded_additions=unit,high_affine_factors=J*16*(d+1)**2,low_transposition_coefficient=J*(stock+h),generic_wrappers=E*(8*m*m+8),matrix_preparation=E*128*N**3,selector_preparation=16*m**3,copy_erase_episodes=5*h*T,paid_children=E,extra_bank_selector_calls=K,one_extra_work_stream=1) + C=sum(components.values()) + assert norm==int(inv['normalizer_factor_bound']) and K==bank['selector_charge']==int(inv['extra_selector_calls']) + assert T==inv['physical_replicas'] and stock==inv['literal_stock'] and 5*price['cohort_candidate']['stock']==stock + assert E==int(inv['positive_rank_children']) and mass==int(inv['literal_rank_mass']) and inv['literal_deficit']==2040*T + assert weighted==int(inv['global_weighted_additions']) and unit==int(inv['global_unit_expanded_additions']) and J==int(inv['route_families']) + assert C==int(inv['full_counted_primitive_coefficient']) and C<2**80

Q(price['bit_root']) + complex_saving=Q(price['complex_saving']);complex_limit=(1-BETA)*complex_saving;limit_ticks=complex_limit*GRID;strict_complex_cap=Q((limit_ticks.numerator-1)//limit_ticks.denominator,GRID) + coarse=min(bitcoarse,strict_complex_cap);admit_first=primitive.moment(H,m,W,coarse,cost,rho);admit_second=primitive.second(H,m,W,coarse,other,rho);assert admit_first[1]<1 and admit_second[1]<1 and coarse0 + delta=min(ds.values());cut=primitive.cutoff(delta,C);assert cut*delta**2>=36 and cut*delta>=2*(4+(C-1).bit_length());chain.append(a);gaps.append(dict(level=level,gaps=ds,minimum_gap=delta,primitive_coefficient_cutoff_log2=cut)) + if primitive.gridk(a)==cap:break + else:raise AssertionError('finite bootstrap budget exhausted') + bridge=read(parent/'math.json')['mathematics']['finite_bridge'];bridge['rows']['degree_gap']=Q(bridge['rows']['degree_gap']);complex_saving=Q(price['complex_saving']);assert coarse<(1-BETA)*complex_saving + assembly=outer.assembly(chain[-1],complex_saving,bridge,cap,eta=ETA,beta=BETA);assert len(assembly['strict_constraints'])==47 and len(assembly['margins'])==7 and min(assembly['strict_constraints'].values())>0 + controls=[] + def reject(label,fn): + try:fn() + except(AssertionError,ValueError):controls.append(label) + else:raise AssertionError('mutation accepted '+label) + for leaf in (chain[-1],coarse):reject('adjacent kappa',lambda leaf=leaf:outer.assembly(leaf,complex_saving,bridge,cap+Q(1,GRID),eta=ETA,beta=BETA)) + for key in ('full_counted_primitive_coefficient','global_unit_expanded_additions','literal_stock','positive_rank_children','literal_rank_mass','extra_selector_calls','normalizer_factor_bound','payload_signed_prefix_upper'): + bad=dict(inv);bad[key]=str(int(bad[key])-1)if isinstance(bad[key],str)else bad[key]-1 + reject('undercharged '+key,lambda bad=bad:invoice(word,bank,columns,price,bad)) + reject('zero cutoff gap',lambda:primitive.cutoff(Q(0),C));reject('zero coefficient',lambda:primitive.cutoff(Q(1,2),0)) + tau=1-admit_first[1];linear=1-Q(bill['rank_mass'],m*bill['literal_stock'])-rho*Q(32*m*bill['positive_rank_children'],bill['literal_stock']);assert tau>0 and linear>0 + external={} + if price.get('complex_reserve'): + cr=price['complex_reserve'];binding=cr['binding'];assert sha(Path(cr['package'])/'MANIFEST.json')==binding['manifest_sha256'];assert binding['inputs_unchanged'] and binding['all_supplier_stages_fresh'];engine_hashes['future_supplier.py']=sha(ROOT/'future_supplier.py');assert engine_hashes['future_supplier.py']==binding['adapter_sha256'] + for name,digest in binding['receipt_hashes'].items(): + path=Path(cr['proof'])/name;assert sha(path)==digest;external[str(path)]=digest + result=dict(status='PASS_P10_PRIME_THRESHOLD_FULL_INVOICE_TWO_MOMENTS_FINITE_BOOTSTRAP_OUTER47',kappa=cap,kappa_decimal=format(float(cap),'.18e'),native_kappa=native,exact_gain=cap-native,source=dict(word_sha256=expected_word,external_receipt_hashes=external,receipt_hashes=receipt_hashes,engine_hashes=engine_hashes,arithmetic_source_pr='https://github.com/CrocSwap/integer-mult-bounds/pull/321',arithmetic_source_head='c76247701762feb2c5bea5bcf302b010eb7d1bc3',structural_admission='Consumed only; the enclosing full verifier must bind and admit these exact structural receipts.'),prime_threshold=dict(Q=P,lucas_lehmer_residue=ll,density=rho,growing_prime_regime_retained=True,all_permitted_primes_q_at_least_Q=True,current_frame_and_bank_exclusions_below_2_power_80=True),complete_literal_invoice=bill,bit_profile=dict(m=m,W=W,histogram=H),ordinary_saving=dict(value=coarse,complex_limit=complex_limit,strict_complex_cap=strict_complex_cap,complex_binds=coarse0 + patterns=tile({r:300*n for r,n in census.items()},100) + result=dict(physical_replicas=300,original_residual=original,census=dict(census),deleted=deleted,entrance_rank=saved,changed_helpers=changed,patterns=[dict(widths=w,count=n)for w,n in patterns],note='entrance_rank is total initial/final endpoint residual saving') + Path(output).write_text(json.dumps(result,sort_keys=True,indent=2)+'\n');print('PASS exact tiling',sum(n for w,n in patterns),'banks',dict(census),flush=True) +if __name__=='__main__': + ap=argparse.ArgumentParser();ap.add_argument('base');ap.add_argument('candidate');ap.add_argument('output');ap.add_argument('--source-root');a=ap.parse_args();run(a.base,a.candidate,a.output,a.source_root) diff --git a/research/w3-p10-pointwise-native/code/upstream-pr321-fixed_prime.py b/research/w3-p10-pointwise-native/code/upstream-pr321-fixed_prime.py new file mode 100644 index 0000000000..79b1ddff10 --- /dev/null +++ b/research/w3-p10-pointwise-native/code/upstream-pr321-fixed_prime.py @@ -0,0 +1,150 @@ +#!/usr/bin/env python3 +"""Exact p10 fixed-prime/full-fallback arithmetic on freshly admitted PR320 outputs.""" +if not __debug__:raise SystemExit('Assertions required; refusing optimization') +import sys +sys.dont_write_bytecode=True +sys.set_int_max_str_digits(0) +import argparse,hashlib,importlib.util,json +from decimal import Decimal,ROUND_FLOOR,localcontext +from fractions import Fraction as Q +from pathlib import Path +ROOT=Path(__file__).resolve().parent +GRID=10**27 +PRIME=(1<<127)-1 +ETA=Q(1,10**24) +BETA=Q(1,10**9) +BASE=Q(384599485948493,5*10**17) +INITIAL=Q(384599,10**10) +def sha(p):return hashlib.sha256(p.read_bytes()).hexdigest() +def ld(p):return json.loads(p.read_text(encoding='utf-8')) +def serial(x): + if isinstance(x,Q):return str(x) + if isinstance(x,dict):return {str(k):serial(v)for k,v in x.items()} + if isinstance(x,(list,tuple)):return list(map(serial,x)) + return x +def load(n,p): + s=importlib.util.spec_from_file_location('p10_fixed_'+n,p);v=importlib.util.module_from_spec(s);s.loader.exec_module(v);return v +def gridk(a,eta=ETA): + q=a*(1-2*eta);v=(1-eta)*q/(1+q)*GRID + return Q((v.numerator-1)//v.denominator,GRID) +def moment(H,m,W,a,cost,rho): + lo,hi=cost.moment(H,m,W,a,False);l,u=cost.logarithm(Q(m));e,f=cost.exponential(a*l,a*u) + w=Q(32*m*sum(H.values()),W)*rho + return cost.floor(lo+w*e),cost.ceil(hi+w*f) +def second(H,m,W,a,other,rho): + lo,hi=other.moment(m,W,list(H.items()),a);l,u=other.log_bounds(Q(m)) + w=Q(32*m*sum(H.values()),W)*rho + return lo+w*other.exp_bounds(a*l)[0],hi+w*other.exp_bounds(a*u)[1] +def certify(H,m,W,cost,other,rho): + with localcontext()as c: + c.prec=90 + terms=[(Decimal(r*n)/Decimal(m*W),(Decimal(m)/Decimal(r)).ln())for r,n in H.items()] + f=Decimal(32*m*sum(H.values()))/Decimal(W)*Decimal(rho.numerator)/Decimal(rho.denominator) + lm=Decimal(m).ln();lo=Decimal(0);hi=Decimal('.003') + for _ in range(270): + a=(lo+hi)/2 + if sum(p*(a*l).exp()for p,l in terms)+f*(a*lm).exp()<1:lo=a + else:hi=a + a=Q(int(((lo+hi)/2*GRID).to_integral_value(rounding=ROUND_FLOOR)),GRID) + b=a+Q(1,GRID);x=moment(H,m,W,a,cost,rho);y=moment(H,m,W,b,cost,rho);u=second(H,m,W,a,other,rho);v=second(H,m,W,b,other,rho) + assert x[1]<10 + return max(1,ceilq(36/delta**2),ceilq(2*(4+(C-1).bit_length())/delta)) +def validate_invoice(i,bp,p): + m=i['m'];T=i['physical_replicas'];stock=i['literal_stock'];E=i['positive_rank_children'];mass=i['rank_mass'];N=2*m + assert(m,T)==(100,60) and bp['m']==m + assert stock==bp['literal_stock']==5*bp['W'] and E==bp['literal_children']==5*bp['calls'] + assert mass==bp['literal_rank_mass']==5*bp['rank_mass'] and m*stock-mass==T*2040 + assert i['fallback_per_child']==32*m*m and i['simultaneous_extra_work_streams']==1 + assert i['generic_wrappers']==E*(8*m*m+8) and i['matrix_preparation']==E*128*N**3 + assert i['copy_erase_episodes']==5*20*T and i['bridge_additions']==T*6*960 + assert i['route_families']==T*(24*960+10*8223) + assert i['high_affine_factors']==i['route_families']*16*(m*m+1)**2 + assert i['low_transposition_coefficient']==i['route_families']*(stock+20) + C=i['unit_expanded_additions']+i['high_affine_factors']+i['low_transposition_coefficient']+i['generic_wrappers']+i['matrix_preparation']+16*m**3+i['copy_erase_episodes']+E+i['extra_bank_selector_calls']+1 + assert C==p['coefficient'] and C<2**802**80 and all(PRIME%d for d in(2,3,5,7,11,13,17,19,23,29,31)) + bp=ma['bit_profile'];H={int(k):int(n)for k,n in bp['histogram'].items()};m=bp['m'];W=bp['W'];rho=Q(2*m**3,PRIME) + assert m==100 and sum(H.values())==bp['calls'] and sum(r*n for r,n in H.items())==bp['rank_mass'] + assert m*W-bp['rank_mass']==24480 and max(H)==42Q(ma['bit_root']) + cap=gridk(coarse);chain=[INITIAL];gaps=[] + for level in range(1,21): + old=chain[-1];a=(1-coarse)*coarse+coarse*old + ds=dict(atom=coarse-a,borrowing=1-a-coarse,remainder=1-a-coarse*(1-old),stock=1-coarse) + assert old0 + delta=min(ds.values());L=cutoff(delta,C) + assert Q(L)*delta**2>=36 and Q(L)*delta>=2*(4+(C-1).bit_length()) + chain.append(a);gaps.append(dict(level=level,gaps=ds,minimum_gap=delta,cutoff_log2_at_charged_coefficient=L)) + if gridk(a)==cap:break + else:raise AssertionError('Finite bootstrap budget20 exhausted') + bridge=ma['finite_bridge'];bridge['rows']['degree_gap']=Q(bridge['rows']['degree_gap']) + complex_saving=Q(ma['complex_coarse']);assert coarse<(1-BETA)*complex_saving + assembly=outer.assembly(chain[-1],complex_saving,bridge,cap,eta=ETA,beta=BETA) + assert len(assembly['strict_constraints'])==47 and len(assembly['margins'])==7 and min(assembly['strict_constraints'].values())>0 and cap>BASE + controls=[] + def reject(name,fn): + try:fn() + except(AssertionError,ValueError):controls.append(name) + else:raise AssertionError('Mutationaccepted '+name) + for a in(chain[-1],coarse):reject('adjacent kappa at '+('finite leaf'if a==chain[-1]else'coarse cap'),lambda a=a:outer.assembly(a,complex_saving,bridge,cap+Q(1,GRID),eta=ETA,beta=BETA)) + for key in('fallback_per_child','matrix_preparation','generic_wrappers','literal_stock','copy_erase_episodes','high_affine_factors','low_transposition_coefficient'): + bad=dict(fin['paid_inventory']);bad[key]-=1 + reject('undercharged '+key,lambda bad=bad:validate_invoice(bad,bp,fin['q_power_bound'])) + reject('zero finite cutoff gap',lambda:cutoff(Q(0),C));reject('zero invoice coefficient',lambda:cutoff(Q(1,2),0)) + tau=1-x[1];linear=1-Q(bp['rank_mass'],m*W)-rho*Q(32*m*bp['calls'],W);assert tau>0 and linear>0 + oldeta=gridk(coarse,Q(1,10**12)) + result=dict(status='PASS_SOURCE_BOUND_FIVE_NEW_KERNELS_P10_PRIME_THRESHOLD_FULL_FALLBACK_BOOTSTRAP_OUTER47',kappa=cap,kappa_scientific=format(float(cap),'.17e'),baseline_kappa=BASE,candidate_native_kappa=Q(pin['supplier_kappa']),candidate_native_gain_over_public_parent=Q(pin['supplier_kappa'])-BASE,exact_gain=cap-BASE,additional_threshold_bootstrap_gain=cap-Q(pin['supplier_kappa']),binding='bit',conditional=True,lean_certificate=False,supplier_reused_stages=reuse,new_kernel_entries=5,kernel_entries_total=780,new_kernel_selection_sha256=pin['new_kernel_selection_sha256'], + source=dict(public_pr=pin['public_pr'],public_parent_head=pin['public_parent_head'],derived_source=True,manifest_sha256=vr['manifest_sha256'],compressed_source_word_sha256=sha(source/'bitword/selected/bit/word_p10.json.gz'),emitted_global_program_sha256=fin['source_binding']['global_program'],local_tagged_word_sha256=fin['source_binding']['tagged'],replay_certificate_sha256=sha(replay/'certificate.json'),replay_verification_sha256=sha(replay/'verification.json'),source_unchanged_during_checked_replay=True), + fixed_prime=dict(minimum_prime_threshold=PRIME,policy='Every prime q at least this threshold; retain the source all-size q-growth and prime-supply regime. No replacement by a constant-modulus machine.',uniform_density_upper_bound=True,exponent=127,lucas_lehmer_iterations=125,lucas_lehmer_residue=ll,density=rho,density_formula='2*m^3/q',actual_basis_inventory_sha256=pr['basis_inventory_sha256'],actual_unique_bases=pr['unique_bases'],retained_residual_upper=2**80,named_factors_upper=31), + bit_profile=bp,whole_literal_invoice=fin['paid_inventory'],finite_coefficient=C,full_fallback_retained=True, + root=dict(lower=coarse,upper=nextcoarse,first_lower=x,first_upper=y,second_lower=u,second_upper=v), + complex_supplier_unchanged=ma['complex_coarse'],ordinary_bootstrap=dict(initial=INITIAL,seed_justification='The freshly verified baseline ordinary leaf is stronger than INITIAL; use its weaker admitted bound as the seed.',verified_baseline_leaf=baseline_leaf,seed_gap=baseline_leaf-INITIAL,levels=level,chain=chain,gaps=gaps,eta=ETA,beta=BETA,grid=GRID,coarse_grid_cap=cap,eta_1e_12_cap=oldeta), + moment_gaps=dict(delta_tau=tau,delta_linear=linear),growing_prime_regime=dict(retained=True,all_primes_above_threshold=True,coefficient_below_threshold=C= threshold, each exact basis denominator and bank-normalizer factor is a unit, rho(q)=2m^3/q <= the priced threshold envelope, and C*q^10000 < q^10001. The unchanged supplier prime-supply and asymptotic q regime are retained.'),assembly=assembly,finite_bridge=bridge,negative_controls=controls, + scope='Conditional sufficient finite construction under the unchanged PR320 public all-size compiler, weighted-selector, common-ancestor-chart, restored-row, routing, prime-supply, recovery and complex analytic interfaces. The derived complete p10 word, regenerated banks, geometry and full finite invoice are freshly admitted; only the source-identical complex supplier is inherited unchanged. No universal machine or Lean certificate is asserted.', + cutoff_scope='Displayed cutoffs use the freshly charged primitive coefficient. As in PR320, the full asymptotic cutoff also multiplies every inherited primitive, wrapper and preceding ordinary-level constant; those retained public interfaces remain conditions.') + output.write_text(json.dumps(serial(result),indent=2,sort_keys=True)+'\n',encoding='utf-8');print(result['status'],str(cap),format(float(cap),'.17e'),'levels',level,flush=True) + return result +if __name__=='__main__': + p=argparse.ArgumentParser();p.add_argument('replay',type=Path);p.add_argument('output',type=Path);p.add_argument('--source',type=Path);a=p.parse_args();run(a.replay,a.output,a.source) diff --git a/research/w3-p10-pointwise-native/provenance/PR348-MANIFEST.json b/research/w3-p10-pointwise-native/provenance/PR348-MANIFEST.json new file mode 100644 index 0000000000..08f47d3a8e --- /dev/null +++ b/research/w3-p10-pointwise-native/provenance/PR348-MANIFEST.json @@ -0,0 +1,78 @@ +{ + "description": "sha256 of every file of research/w3-p10b-pointwise-complex except this one; verify.py requires the package to be exactly these files", + "files": { + "NOTICE": "89d5e68252ca35205382e39a9e0c6b317c36f2d8be435c4faee6364d83392370", + "PROOF.md": "65539c02cfebca3dc93aebcf3fc228f6baae1ff6c9db05ef4362ef69db56bb71", + "README.md": "65ff95f63441f902912e1cbe24897bcd77fb018769ad6d184e8dc33386af0387", + "SOURCE.json": "8af41f59ebe6ac70cafc04d576309ee03f873c80f7275869d57c3b9d103a19c4", + "aligned_word_p.py": "bca04f6027c6c6696c1593767487dffa0965cbd7c9fc83493552de4569857757", + "aligned_word_spec.py": "6d249179796ecf5aa3e2722e65d98485510752861dc78465498f4cdce7e219ee", + "bit/pr346/FINAL-RECORDS.bin.gz": "fc4f1986da4585dc1721bcd954a95b3ffb2b562cc7031f40242de81664e3acb6", + "bit/pr346/LICENSE": "c71d239df91726fc519c6eb72d318ec65820627232b2f796219e87dcf35d0ab4", + "bit/pr346/NOTICE.md": "02b59cc0542c78f409d30ce4fd546a806b606b76e185acd9aad1e32deb705008", + "bit/pr346/RECORD-SHA256SUMS": "21f732671eb34468be2252d4dfb81bdec4e7d7cd6564b93a482c2dd925e9c3b2", + "bit/pr346/kappa-L10f.json": 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"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", + "scripts/source527/NOTICE": "c461d8aef9a0c1ec5015a300bdbf37e566610d50139d730ba677eb0df5d7ffe0", + "scripts/source527/base_two_moment.py": "aee70c242a2f1d225528fabe2002e1564d1dc884797c07d28a831c7878ee9098", + "scripts/source527/moment.py": "9d465c716c6b910ff66e1453e3bf0057608a787b5f5361be93781f42cb3370f7", + "spec/c2.json": "569bd70b4d945ccc42e3ff84f8901af49b65f77f97cabe2e2655443244c067b5", + "spec/uniform.json": "c0f1bfed8343ed2a0cbb374b175ff2dd194757116edf8c1b6de656ddc3bd042a", + "spec_graph.py": "8dc9a58bd6f5a4bc8e29a4550464dba65583dc1a8d3a3e4cb82b66d5489ab3c2", + "verify.py": "12c49aa6b943f7ecdc5380c4018b2598b882fd99d8c78f3ecd961a8011bf238a" + } +} diff --git a/research/w3-p10-pointwise-native/provenance/PR348-NOTICE.md b/research/w3-p10-pointwise-native/provenance/PR348-NOTICE.md new file mode 100644 index 0000000000..ebd612a2be --- /dev/null +++ b/research/w3-p10-pointwise-native/provenance/PR348-NOTICE.md @@ -0,0 +1,57 @@ +Prepared by Chafik Boukhalfa with substantial Anthropic Claude assistance. Apache-2.0. +Inherited files keep their original notices and assistance disclosures. This package claims no exclusive priority +over concurrent work. + +What this package contributes: +- the per-point p = 10 complex program (claim 7940/10^7, coarse b = 794022782431403/10^18), together with its + pointwise pair modules, its frozen layer and its spec; +- the per-invocation module spec and builder (spec_graph.py, aligned_word_spec.py, and anchors (e) and (f)); +- the composition of that program with PR #346's bit word, an independent recount of that word's paid children, + and the reproduction of PR #346's kappa; +- verify.py, MANIFEST.json and the git-blob pins of SOURCE.json. + +Everything else is retained and credited: + +- LJH-217 / Louis Harrison (Anthropic Claude assistance), PR #346 (research/w3-p10b-complex-p10 at 11b4de5): the + final w3 bit word on PR #325's p10b word. It is vendored unchanged in bit/pr346/, with its records, hash list, + kappa receipt, LICENSE and NOTICE.md. PR #346 also composed it with a p = 10 complex supplier and computed the + complex-bound kappa that this package reproduces. Its bit word's own checks (Design T verifier, PR #266 + checkers, primes, bank tiling) are PR #346's and are not re-run here. +- utcorvusvolat-dotcom: PR #310, the w3 Design T and twin condensation, with their builders and cost model, which + PR #346 ported to h = 20. +- PR #266's official cohort legality and five-stage column checkers, as run by PR #346. +- DreamingOfClouds (Anthropic Claude assistance): + - PR #325 (c4f1b74): the p10b bit word under PR #346's, the re-annealed pair module pm_p10.json (the default pair + module of the spec and the start of the pointwise climb) and the all-but-one module qmod_p10.json; + - PR #315: the p = 10 five-stage package, qmod_p10.json, the centre-sharing Graph.finish patch, and the outer + assembly convention (complex-bound path) used for kappa; + - PR #327 (40ed045): the p = 10 complex supplier, its recipe and chain (aligned_word_p.py, centre46.py, + paircheck.py, normalize_scatter.py, module_cut.py, discovery/pr327/), the triple module tmod_t2_p10.json, and + verify.py, which this verify.py generalises; all vendored byte for byte; + - PR #304: the p = 11 recipe. +- Jacob Sussman (Anthropic Claude assistance): gcert/1, gx.py and gxcore.py (vendored unchanged in gx/, + Apache-2.0, Copyright 2026 Jacob Sussman, jacobalansussman/wht-power-saving-lean at f010392c), the bridged + five-stage layout B_2, and the Lean generator and Compare.lean used for the companion program. +- chafreaky / Chafik Boukhalfa (Anthropic Claude and OpenAI Codex assistance): + - PR #233: the maximum-weight pairing, and the layer package vendored in references/pr233-layer/; + - PR #200: the frame descent and the complete complex checker; + - PR #256: the gcert emitter gcert_emit.py; + - PR #225: scripts/moment.py; + - PR #329: pricing/outer.py, which is PR #315's unchanged. +- icekylinx (OpenAI GPT-6 Astra and Codex assistance): PR #144 paired cubes and Graph.finish; PR #184 the + source-assisted construction, frame flow, exact lift and contract. +- Avi Eisenberg (ikeboy): PR #191/193/194/202, the source-aligned pipeline and the PR #202 baseline. +- eumemic (Anthropic Claude and OpenAI Codex assistance): + - PR #168 modules and frames; + - the source527 rational moment engines (scripts/source527/, see its NOTICE); + - outer.py, the 47-constraint outer assembly of PR #315 (from icekylinx's PR #144 and Zhihao Chen's PR #23, + with hipotures' balanced prefix). +- DaysSky: PR #162, the extended carrier closure. +- hcg890: PR #234, the five-stage architecture and the 10^-16 fallback envelope. +- SovereignSteak: PR #250. +- Evan McKinney: the completed banks of the five-stage packages. +- Rohan Arun: the joint-dual re-pin in PR #327's head. +- The PR #202 baseline lineage, as credited in references/pr233-layer/NOTICE. +- OpenAI: the original complex phase network of "Integer multiplication below n log n". + +The credits above do not imply review or endorsement by the credited authors. diff --git a/research/w3-p10-pointwise-native/provenance/PR348-README.md b/research/w3-p10-pointwise-native/provenance/PR348-README.md new file mode 100644 index 0000000000..cfea704e2d --- /dev/null +++ b/research/w3-p10-pointwise-native/provenance/PR348-README.md @@ -0,0 +1,123 @@ +κ = 7.93392809291691e-4 + +# PR #346's w3 bit word with a per-point p = 10 complex supplier + +A conditional finite construction with **κ = 793392809291691/10¹⁸ ≈ 7.93392809291691 × 10⁻⁴**. That is ++8.127·10⁻⁷ (+0.1025 %) over PR #346 (κ = 396290046684973/(5·10¹⁷) ≈ 7.92580093369946·10⁻⁴). + +PR #346 (LJH-217) put PR #310's w3 Design T and twin condensation on PR #325's p10b bit word. That word's bit +coarse saving lies above every known complex cap, so κ is set by the complex supplier. This package keeps PR +#346's bit word unchanged and replaces its complex supplier with a stronger p = 10 program of the same recipe. In +that program each point i has its own pair module, shared by both bits. + +| side | supplier | coarse saving (10⁻¹⁶ fallback) | +| --- | --- | ---: | +| bit | PR #346's final w3 word on PR #325's p10b word (vendored) | c = 32069035133443/(4·10¹⁶) ≈ 8.01725878336075·10⁻⁴ | +| complex, PR #346 | p = 10 gcert/1 program, PR #325's pair module, flow R 6,265 | 396604388013523/(5·10¹⁷) ≈ 7.93208776027046·10⁻⁴ | +| **complex, this package** | **p = 10 gcert/1 program, pointwise pair modules, R 6,253** | **b = 794022782431403/10¹⁸ ≈ 7.94022782431403·10⁻⁴** | + +Both suppliers make the complex side bind. Here the bit saving is capped one 10⁻¹⁸ grid point below the leaf cap +(1 − 10⁻⁹)·b and fed through PR #315's outer assembly, which checks 47 strict constraints and the finite bridge. +`verify.py` first reproduces PR #346's κ exactly from PR #346's b, then computes κ from this package's b. In both +cases the next 10⁻¹⁸ κ and the cap itself are rejected. + +## Complex supplier + +The word, recipe and chain are PR #327's (at `40ed045`): the source-assisted complex word of PR #184/#194 at +p = 10, with the centre-sharing graph, HK carrier arcs plus PR #162's extension, PR #200's frame descent, PR #233's +maximum-weight pairs, PR #184's flow and exact lift, PR #194's contract and PR #256's emitter. The query modules +come from `spec/c2.json`: + +- triple module: PR #327's `tmod_t2_p10.json`; +- all-but-one module: PR #325's `qmod_p10.json` (PR #315's), the same for all 90 invocations; +- pair module of point i (both bits): `modules/pointwise/pmod_i{i}.json`. These six distinct files were found by a + greedy climb that started from PR #325's `pm_p10.json` (`discovery/README.md`). Each has 36 inputs plus the + star-centre root, and `centre46.load_pmod46` checks its contract. + +| program | R | W | N | blocks | a | rejected | coarse b (/10¹⁸) | Lean | +|---|---|---|---|---|---|---|---|---| +| PR #327 centre-mw | 6,455 | 10,295 | 165,940 | 47,979 | 7795/10⁷ | 7796/10⁷ | 779597612622781 | 1 − 7795973/10¹⁰ | +| shared #325 modules (`spec/uniform.json`; same b as PR #346's supplier) | 6,265 | 10,105 | 162,140 | 47,619 | 7932/10⁷ | 7933/10⁷ | 793208776027046 | 1 − 7932084/10¹⁰ | +| **pointwise pair modules (`spec/c2.json`, this package)** | **6,253** | **10,093** | **161,900** | **47,599** | **7940/10⁷** | **7941/10⁷** | **794022782431403** | **pending** | + +**Status of the 7940/10⁷ program.** Sussman's reference checker `gx.check1` (exact scalar identity) and his +`gxcore` mirror of the two Lean checks accept it, and both reject a flipped sign. It also passes the rest of the +chain: `paircheck.py`, PR #200's checker, the exact flow lift and PR #194's contract (13/13). `verify.py` +regenerates it byte for byte. **Its Lean run is pending**: the host with the Lean toolchain needs an interactive +re-authentication. The companion program with one shared pair module (7932/10⁷) went through the same pipeline and +was built in Lean (`lean/companion-7932-evidence.txt`). The per-point program uses the same generator path, with +only its module files changed. + +## Bit side + +PR #346's final word is vendored unchanged (`bit/pr346/`). It consists of: + +- its final records (`FINAL-RECORDS.bin.gz`, checked against its `RECORD-SHA256SUMS`); +- its κ receipt (the normalized five-stage histogram, the stock W = 125,712 and c); +- its LICENSE and NOTICE. + +`verify.py` decodes the records with its own reader and recounts the paid children (MOVE and COPY ranks). It then +requires PR #346's normalized histogram to equal 60·H + 12·2v·(e₃₈ + e₁₉ + e₄₂ + e₄), and certifies c from it with +both rational engines. The stock W is taken from PR #346's receipt and is not re-derived. PR #346's own bit checks +are not re-run here: the Design T verifier, PR #266's legality and five-stage column checkers, primes and bank +tiling. Since the complex side binds, κ depends on the bit word only through c > (1 − 10⁻⁹)·b, and c is 0.97 % +above that cap. + +## Verify + + python -m pip install numpy==2.3.5 scipy==1.17.0 + python3 -B research/w3-p10b-pointwise-complex/verify.py --quick # about 30 s: pins, bit side, program, kappa + python3 -B research/w3-p10b-pointwise-complex/verify.py # about 6 min: also regenerates the program + +Nothing is fetched; `-O` is refused. `--quick` covers: + +1. `MANIFEST.json`; +2. `SOURCE.json`: git blob and sha256 of every vendored file at PR #327 `40ed045`, PR #325 `c4f1b74`, PR #346 + `11b4de5` and PR #329 `c6b1a28`; +3. the bit side; +4. the committed program: canonical sha256 `ff2d7307…`, `gx.check1`, `gxcore`, the E5 controls, and the exact + price (7940/10⁷ with and without the fallback, 7941/10⁷ rejected, b by both engines); +5. κ for PR #346 (reproduced) and for this package. + +The full run also regenerates the program: + +1. it rebuilds PR #202's 308 files from the vendored PR #233 package; +2. it runs PR #327's anchors (a) and (b), then anchors (d) and (e) on `spec/uniform.json`; +3. it runs anchor (f): on the companion's frozen layer, `aligned_word_spec.py --spec` writes the same seven files as + PR #327's `aligned_word_p.py --centre46`; +4. it builds the per-point word with `aligned_word_spec.py --spec spec/c2.json` and runs the whole chain; +5. it requires the committed program byte for byte, and compares the run with `certificate/expected.json`. + +`.github/workflows/w3-p10b-pointwise-complex.yml` runs both modes on Python 3.12 and 3.14. + +## Open obligations + +- The Lean build of the 7940/10⁷ program (pending; see above). +- Everything PR #346 lists as open for its bit word: PR #310's native downstream chain is not ported to p = 10, + PR #315's scalar/prime/finite stages cannot take an edited word, and the complex guard keeps PR #315's p = 11 + additive row constants. +- PR #346 also ran PR #315's portable complex checks, ported to p = 10 (labels, scalar words, splice, precision + guard); they are not run on this program here. This package's complex checks are PR #327's chain plus + `gx.check1`/`gxcore`. +- All inherited interfaces of PR #315/#325/#346 remain assumptions. This is a conditional finite construction, + not a formal verification of the multiplication theorem. + +## Files + +| path | origin | content | +|---|---|---| +| `verify.py` | new (from PR #327's verify.py and PR #329's math_check.py) | the checks above | +| `spec_graph.py`, `aligned_word_spec.py` | new | per-invocation spec and word builder | +| `spec/c2.json`, `spec/uniform.json` | new | the program's spec, and the companion spec used for anchors | +| `modules/pointwise/` | new | the ten per-point pair modules | +| `modules/pm_p10.json`, `modules/qmod_p10.json` | PR #325 `c4f1b74` | default pair module and the all-but-one module | +| `modules/tmod_t2_p10.json` | PR #327 `40ed045` | triple module | +| `layers/c2/`, `layers/uniform/` | new | frozen layers of the program and of the companion | +| `certificates/gcert1-p10-b325-c2.json.gz` | new | the program, star form | +| `certificate/expected.json` | new | the full run's record | +| `bit/pr346/` | PR #346 `11b4de5` | bit word records, hash list, κ receipt, LICENSE, NOTICE | +| `pricing/outer.py` | PR #329 `c6b1a28` (= PR #315's) | the 47-constraint outer assembly | +| `lean/companion-7932-evidence.txt` | new | Lean console output of the companion program | +| chain, checkers, engines, `references/`, `discovery/pr327/` | PR #327 `40ed045` | vendored byte for byte | +| `discovery/` | new | how the modules and layer were found | +| `SOURCE.json`, `MANIFEST.json`, `PROOF.md`, `NOTICE` | new | provenance, pins, claim, credits | diff --git a/research/w3-p10-pointwise-native/provenance/pr346-MANIFEST.sha256 b/research/w3-p10-pointwise-native/provenance/pr346-MANIFEST.sha256 new file mode 100644 index 0000000000..3f822293ad --- /dev/null +++ b/research/w3-p10-pointwise-native/provenance/pr346-MANIFEST.sha256 @@ -0,0 +1,118 @@ +c71d239df91726fc519c6eb72d318ec65820627232b2f796219e87dcf35d0ab4 ./LICENSE +02b59cc0542c78f409d30ce4fd546a806b606b76e185acd9aad1e32deb705008 ./NOTICE.md 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./producer/run_one.sh +a87e07966af3e9234fc798133980989dd0d6bd6c18dafe1204b777946263a6d0 ./receipts/complex-admission-L10e.txt +a87e07966af3e9234fc798133980989dd0d6bd6c18dafe1204b777946263a6d0 ./receipts/complex-admission-L10f.txt +02846fcc55826425b01153d7fd837fd5e80ba6d3b3c02166b33f54a05fbbdc36 ./receipts/complex-contract-L10e.log +7a7e1c52d1ef537ae00a83d12d059f307099ada8af355011134cb1ce60272f31 ./receipts/complex-contract-L10f.log +8d52f3cffb99540a4366581fac6d91b6415c1215bdbc0c179e7bafbeeb69dd4f ./receipts/complex-guard-L10e.json +97307821a0b0c4cc0aa4508484000f6f77d325556ed1bd07390a18890e3badef ./receipts/complex-guard-L10f.json +5b93dee60fb047f70f0b20e3e4bb84f3992515fbc39fc9d27788cd9ae2d950a8 ./receipts/kappa-L10f.json +9a0a9d4a5eb93fe086dcf1c91768bf22fa5303b92acee0e8b5dc667ccaa7d8d6 ./receipts/kappa.json +32e291f249b4eab8d65664d10c94208fe2154bdb4a45aaff84e9e8da5295a29f ./receipts/official-five-stage-columns.json +7e675b7720f056548c1ee9f9de523eea10e6b014ddf90b7a630fd96163acbce6 ./receipts/official-legality.json +b5dcc944d46a75eafe70f3945ada8b67ff8a2d807a1a24f5c640dab911721edd ./verify.sh diff --git a/research/w3-p10-pointwise-native/provenance/pr346-NOTICE.md b/research/w3-p10-pointwise-native/provenance/pr346-NOTICE.md new file mode 100644 index 0000000000..6d5643cc76 --- /dev/null +++ b/research/w3-p10-pointwise-native/provenance/pr346-NOTICE.md @@ -0,0 +1,28 @@ +# Attribution and provenance + +Prepared with substantial Anthropic Claude assistance. Apache-2.0 (see `LICENSE`) applies to the new code and to the +inherited Apache-2.0 code below; third-party notices are preserved where files are vendored. + +- **Base bit word, re-annealed pair module, p = 10 five-stage pipeline and its moment/outer/prime engines** + (`data/bit/BASE-*`, `data/complex/pm_p10b.json`, `code/pricing/{moment,base_two_moment,outer,prime_witnesses}.py`): + DreamingOfClouds, PR #325 at `0eca9340a3df6141b8e71a41638c3937b3522888` on PR #315 at + `64bccfb67494f7c4549bfb2f186b400a3cfefb42` (#285/#276 gen5/gen4 lineage on eumemic's PR168 generator and source527 + package, PR #200's physical rules, hcg890 and Jacob Sussman's five-stage architecture, Evan McKinney's completed + banks). The engines are copied unchanged from PR #315's package. +- **Design T, twin condensation, the Design T verifier and the cost model** (`code/builders/{interface,gather,build_v5,twin,addcomp}.py`, + `code/checkers/{verifyT.cpp,sub.hpp,exactnd_h.py}`, `code/pricing/cost.py`): utcorvusvolat-dotcom's w3 supplier work + (Agents A/B) packaged in PR #310 at `484b85f1d1fada27fda2ddab3ec952c1314d84c7`, ported here to h = 20 (literals 24/23 + replaced by h and h − 1, a `drop` case for gauge-bound partial carriers, configurable paths). +- **Official checkers** (`code/checkers/{legality_h,columns_h}.cpp`): PR #266's `cohort-legality-independent` and + `cohort-five-stage-columns` as retained in PR #310, with only h, v, R and the copy count generalized. + `json.hpp`: Niels Lohmann, MIT license in its header. +- **Triple module** (`data/complex/tmod_t2_p10.json`): PR #327 (complex-p10) at `40ed0456ab1990beb3440e61bb883ccf95fdcea4`. +- **Complex chain and checks** (`producer/`, `code/complex/`): PR #304's recipe and PR #315's portable complex checks + (#256/#233/#202/#200/#194/#184 lineage: icekylinx, Chafik Boukhalfa, Avi Eisenberg, eumemic and others), ported to + p = 10. Jacob Sussman's `gx.check1`, `gxcore` and pinned Lean sources are vendored unchanged under + `code/complex/inputs/complex/sources` with their own notices. +- **New here** (Claude-assisted): the exporter, the h = 20 ports, the selection of the complex modules with a + one-instance compile proxy, the p = 10 complex program and its pins, the tiling/prime/certification helpers and + `verify.sh`. + +Credits do not imply endorsement or review by the credited authors. diff --git a/research/w3-p10-pointwise-native/provenance/pr346-README.md b/research/w3-p10-pointwise-native/provenance/pr346-README.md new file mode 100644 index 0000000000..4de9dab5f7 --- /dev/null +++ b/research/w3-p10-pointwise-native/provenance/pr346-README.md @@ -0,0 +1,78 @@ +κ = 7.92580093369946e-4 + +# w3 cube layer on PR #325's p10b bit word, with a stronger p = 10 complex supplier + +A conditional finite construction with **κ = 396290046684973/(5·10¹⁷) ≈ 7.92580093369946 × 10⁻⁴**, +3.71 % over +PR #315 (7.64230861320245e-4) and +1.97 % over the best open PR at packaging time (#332/#333, 7.77268259042372e-4). +The complex supplier binds; the bit root lies 1.07 % above its leaf cap. + +| side | supplier | coarse saving | +| --- | --- | ---: | +| bit | PR #325's p10b word + w3 Design T + twin condensation | c = 32069035133443/(4·10¹⁶) ≈ 8.01725878336075·10⁻⁴ | +| complex | p = 10 gcert/1 program: PR #304's recipe on PR #325's pair module, PR #327's triple module and PR #315's all-but-one module | b = 396604388013523/(5·10¹⁷) ≈ 7.93208776027046·10⁻⁴ | + +## Bit word + +The base is PR #325's p10b local word (h = 20, v = 960, m = 100, R = 8,100), exported unchanged from PR #325's own +`prepare`, `physical527` and parity fusion into the PR249 snapshot format (`code/export_p10.py`). On that snapshot +w3's pricer returns PR #325's bit root 7.70276909563042·10⁻⁴ exactly; its five-stage profile equals the banked +profile of PR #315's pipeline row for row. + +1. **Design T** (PR #310's supplied builder, ported to h = 20). All 120 cubes carry the 12 plane block holders, + 8 partner singles and four 011 mixes the builder expects. 480 helpers are freed (entrance FULL, no records); no + new frame is needed because every tetra-edge frame span(χa, χb) already exists in the word. +2. **Twin condensation** (PR #310's `twin.py`, ported). 480 planes whose two arrivals are mix-frame starters take + their leftover at the 1-dimensional intersection line of the two mix frames (σ = 1); 320 new line frames. + +Root: 7.70277 → 8.00345 (Design T) → 8.01726·10⁻⁴. W = 10,476 per copy; residual census {20: 5,940, 19: 480, 4: 1,200}. + +## Complex supplier + +PR #304's build chain (PR #202 tree with PR #315's centre-sharing `Graph.finish` patch, PR #184 flow and exact lift, +PR #256's emitter), made p-generic and run at p = 10 (`producer/`). A one-instance proxy of the base compile +(R = additions + roots − carrier arcs, exact on the tested pair and all-but-one modules) selected the modules: PR #325's +re-annealed pair module (92 net registers per instance against 95 for PR #315's), PR #327's p = 10 triple module +(549 against 593 for a p = 11 module cut down) and PR #315's all-but-one module (8). Flow R 6,265 (PR #327's own +p = 10 program: 6,455, 7795/10⁷). + +Checks run on this program: PR #200's complete complex checker (all formal source/target/dirty columns), PR #194's +contract (13 checks, physical R = flow R, equal histograms), and in `verify.sh` PR #315's complex checks ported to +p = 10 (`code/complex/`): Sussman's `gx.check1` with the exact scalar identity and his `gxcore` mirror, every label +and paid child, both scalar words and lifetimes, the five-window splice with all controls rejected, and the finite +precision guard (external rows 15,125 < 20,161, induction gap 115·B, half-shrink 84 < 100). The five places where +#315 pinned its p = 11 program are now derived from the certificate (h, v, R, centres = h, centre rank h − 2, +m = 5h, W = 4v + R) or re-pinned to this program (`code/complex/pins-p10f.json`). + +## Verify + + bash research/w3-p10b-complex-p10/verify.sh /tmp/w3-p10b-verify + +About five minutes; needs Python 3.11+ with numpy, mpmath and sympy, g++ (C++17) and Boost headers. It checks the +manifest, rebuilds the final word from the vendored base snapshot (hash-checked), runs the ported Design T verifier +(legality, all F₂ columns, nondegeneracy), PR #266's official legality and five-stage columns checkers (11,940 columns, +six omitted-bridge controls), exact rational nondegeneracy and PR #315's prime-witness rule on the 320 new frames +(determinants ≤ 6 bits, primes {2, 3}), an exact width-100 bank tiling with 60 replicas, the complex checks above, +both rational moment engines with the 10⁻¹⁶ fallback on both sides, and PR #315's outer assembly on the complex-bound +path (47 strict constraints; the cap itself fails `leaf_saving_above_bit`; the adjacent 10⁻¹⁸ κ is rejected). + +Regeneration from source (optional): `code/export_p10.py` exports the base from PR #325's package at +`0eca9340a3df6141b8e71a41638c3937b3522888`; `producer/run_one.sh L10f 10 tmod_t2_p10.json pm_p10b.json bit_qmod_p10.json` +rebuilds the complex program on the PR #202 tree (see `producer/README.md` of the predecessor complex-p10 work). + +## Open obligations + +- Not ported: PR #310's native downstream chain (bank review with charts and normalizers, changed projector charts, + geometry admission, finite invoice). Only bank feasibility is shown; freed roles carry no records and are not banked. +- PR #315's scalar/prime/finite stages regenerate the word from its generator and cannot take an edited word; the + official cohort checkers replace them for the edited word. +- The complex guard keeps PR #315's additive row constants (9909 + 252) derived at p = 11. +- All inherited interfaces of PR #315/#325 remain assumptions (all-size compiler, weighted selectors, common + charts, restored rows, routing, prime supply, precision/recovery, complex symbolic correctness, analytic transfer). + This is a conditional finite construction, not a formal verification of the multiplication theorem. + +## Credits + +Bit base word, pair module and the p = 10 five-stage pipeline: DreamingOfClouds (#325 on #315, gen5 lineage on +eumemic's source527 and hcg890/Sussman's five-stage architecture, Evan McKinney's completed banks). Design T, twin +condensation and diagnostic checkers: utcorvusvolat-dotcom's w3 work (#310); official checkers: #266. Triple module: +#327. Complex chain: #304/#256/#233/#202/#200/#194/#184 lineage; Sussman's gx checker. See `NOTICE.md`. diff --git a/research/w3-p10-pointwise-native/provenance/pr346-at-discovery.json b/research/w3-p10-pointwise-native/provenance/pr346-at-discovery.json new file mode 100644 index 0000000000..890ae060fc --- /dev/null +++ b/research/w3-p10-pointwise-native/provenance/pr346-at-discovery.json @@ -0,0 +1,10 @@ +{ + "body": "**Conditional \u03ba = 396290046684973/(5\u00b710\u00b9\u2077) \u2248 7.92580093369946e-4** (+3.71 % over #315, +1.97 % over #332/#333). The complex supplier binds; the bit root is 1.07 % above its leaf cap.\n\n## What this adds\n\n- **Bit side:** PR #310's w3 Design T and twin condensation, ported to h = 20 and applied to PR #325's p10b word (exported unchanged from #325's own pipeline; the export reproduces #325's bit root exactly). Design T frees 480 helpers and needs no new frames; twin condensation adds 320 line frames. Bit root 7.70277e-4 \u2192 8.01726e-4.\n- **Complex side:** a p = 10 gcert/1 program built with #304's recipe on #325's re-annealed pair module, #327's p = 10 triple module and #315's all-but-one module (flow R 6,265). b = 396604388013523/(5\u00b710\u00b9\u2077), against 7795/10\u2077 for #327's p = 10 program.\n- **#315's complex checks ported to p = 10**, with the five p = 11 pins derived from the certificate or re-pinned.\n\n## Checks (`bash research/w3-p10b-complex-p10/verify.sh `, ~5 min)\n\nManifest; rebuild of the final word from the vendored base (both hashes); ported Design T verifier (legality, all F\u2082 columns, nondegeneracy); #266's official legality and five-stage columns checkers (11,940 columns, bridge controls); exact nondegeneracy and #315's prime-witness rule on the new frames; exact width-100 bank tiling; Sussman's gx.check1 + gxcore, labels, scalar words, splice controls and precision guard on the complex program; both rational moment engines with the 10\u207b\u00b9\u2076 fallback; #315's outer assembly on the complex-bound path (47 strict constraints, cap rejected, adjacent \u03ba rejected). PR #200's complete complex checker and PR #194's contract were also run on the complex program (receipts in `receipts/`).\n\n## Open obligations\n\n#310's native downstream chain (bank review with charts, changed projector charts, geometry admission, finite invoice) is not ported to p = 10; only bank feasibility is shown. #315's own scalar/prime/finite stages cannot take an edited word. The complex guard keeps #315's p = 11 additive row constants. All inherited interfaces remain assumptions; this is a conditional finite construction, not a formal verification.\n\n## Credits and AI disclosure\n\nBuilds on #325/#315 (DreamingOfClouds), #310 (utcorvusvolat-dotcom's w3 work), #266's checkers, #327's triple module and the #304/#256/#233/#202/#200/#194/#184 complex lineage with Sussman's checker; see `NOTICE.md`. Prepared with substantial Anthropic Claude assistance.\n\nSubmitted by Louis Harrison (@LJH-217)\n\n", + "headRefName": "w3-p10b-complex-p10", + "headRefOid": "11b4de5ff8ed5fccf55d4af1043358d257308e8e", + "isDraft": false, + "number": 346, + "title": "\u03ba = 7.92580093369946e-4: w3 cube layer on #325's p10b word with a stronger p = 10 complex supplier", + "updatedAt": "2026-10-10T23:45:40Z", + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/346" +} diff --git a/research/w3-p10-pointwise-native/requirements.txt b/research/w3-p10-pointwise-native/requirements.txt new file mode 100644 index 0000000000..78c2682d1f --- /dev/null +++ b/research/w3-p10-pointwise-native/requirements.txt @@ -0,0 +1,3 @@ +numpy==2.3.5 +scipy==1.17.0 +sympy==1.14.0 diff --git a/research/w3-p10-pointwise-native/vendor/complex-reserve/DERIVATION.json b/research/w3-p10-pointwise-native/vendor/complex-reserve/DERIVATION.json new file mode 100644 index 0000000000..3924bd5279 --- /dev/null +++ b/research/w3-p10-pointwise-native/vendor/complex-reserve/DERIVATION.json @@ -0,0 +1,139 @@ +{ + "complex_basis": { + "derived_sha256": "52d68781eaf6d9decf02446a532a7336fcf15924a9f6781ba0833d038decb9f8", + "parameterizations": [], + "source": "vendor/neutral/portable-code/complex_basis.py", + "source_sha256": "52d68781eaf6d9decf02446a532a7336fcf15924a9f6781ba0833d038decb9f8" + }, + "complex_gx": { + "derived_sha256": "ccc924537db0c0d55f0c1934e79b8cf4d85b4fb336473d7b42d69e12557aa9f2", + "parameterizations": [], + "source": "vendor/neutral/portable-code/complex_gx.py", + "source_sha256": "ccc924537db0c0d55f0c1934e79b8cf4d85b4fb336473d7b42d69e12557aa9f2" + }, + "complex_labels": { + "derived_sha256": "6094a8114c599b3826a914e0f63c7d9cdae7b8b9a9cc26be9b685447698fae9c", + "parameterizations": [ + { + "new": "need(c[\"h\"]==20 and c[\"v\"]==960 and c[\"R\"]>0 and c[\"cst\"]==20*18 and c[\"N\"]==20*c[\"R\"]+2*960*19+20*18, \"p10 parameter/count identity\")", + "old": "need(all(c.get(k)==v for k,v in BASE.items()), \"baseline parameter/count mismatch\")" + }, + { + "new": "len(c[\"ret\"])==h", + "old": "len(c[\"ret\"])==22" + }, + { + "new": "list(range(h))", + "old": "list(range(22))" + }, + { + "new": "len({x[1] for x in c[\"ret\"]})==h", + "old": "len({x[1] for x in c[\"ret\"]})==22" + }, + { + "new": "dim[f]==h-2", + "old": "dim[f]==20" + }, + { + "new": "by_role[\"c\"][h-2]+=1;by_phase[\"copy\"][h-2]+=1", + "old": "by_role[\"c\"][20]+=1;by_phase[\"copy\"][20]+=1" + }, + { + "new": "for k in range(h)", + "old": "for k in range(22)" + }, + { + "new": "\"temporary_centers\":h", + "old": "\"temporary_centers\":22" + }, + { + "new": "\"Cc_copy_additions\":h", + "old": "\"Cc_copy_additions\":22" + } + ], + "source": "vendor/neutral/portable-code/complex_labels.py", + "source_sha256": "265de648d956281d8081a938886cadefad6aafa3a693e329d7517f4d5c5011b5" + }, + "complex_scalars": { + "derived_sha256": "a1b5701f4d6ef42ee5ea8168235b6e0eab0a3f786f57bb9023738e094787e0b3", + "parameterizations": [ + { + "new": "V=R=H=None\ndef configure(c):\n global V,R,H\n V,R,H=c[\"v\"],c[\"R\"],c[\"h\"]\n need((V,H)==(960,20) and R>0,\"p10 scalar dimensions\")", + "old": "V,R,H=1320,9036,22" + }, + { + "new": "(\"recursive_center\",k,H-2)", + "old": "(\"recursive_center\",k,20)" + }, + { + "new": "\"Live-label transitions are independently recounted and charged by the label and splice checkers; not scalar macros\"", + "old": "\"68230 existing live-label transitions, unchanged; not scalar macros\"" + }, + { + "new": "0<=k0,\"p10 splice dimensions\")", + "old": "V,R,H,N,W=1320,9036,22,11676,14316" + }, + { + "new": "0 if ori=='forward' else f,H-2)", + "old": "0 if ori=='forward' else f,20)" + }, + { + "new": "((f,0,H-2) if ori=='forward' else (0,f,H-2))", + "old": "((f,0,20) if ori=='forward' else (0,f,20))" + }, + { + "new": "counts['center']==H", + "old": "counts['center']==22" + }, + { + "new": "family='p10FiveStageComplex',m=5*H,live=W,physical=W+R+H+1", + "old": "family='baseline5stageComplex',m=110,live=14316,physical=23375" + }, + { + "new": "centers=[W,W+H],tableau=[W+H,W+H+R],coefficient=[W+H+R,W+H+R+1]", + "old": "centers=[14316,14338],tableau=[14338,23374],coefficient=[23374,23375]" + }, + { + "new": "recursive_volume_denominator=W", + "old": "recursive_volume_denominator=14316" + }, + { + "new": "maintained_guard_changed=True", + "old": "maintained_guard_changed=False" + }, + { + "new": "work=list(range(W,W+R+H+1))", + "old": "work=list(range(14316,23375))" + } + ], + "source": "vendor/neutral/portable-code/complex_splice.py", + "source_sha256": "9dee45f4731c861c07502062fcdf993df332762978fb69c6636e57ed45a4ef44" + } +} diff --git a/research/w3-p10-pointwise-native/vendor/complex-reserve/GEOMETRY.json b/research/w3-p10-pointwise-native/vendor/complex-reserve/GEOMETRY.json new file mode 100644 index 0000000000..b930f82bc5 --- /dev/null +++ b/research/w3-p10-pointwise-native/vendor/complex-reserve/GEOMETRY.json @@ -0,0 +1,14 @@ +{ + "commit": "f010392c923279e3dd59ef3aa5fedad23affc5fd", + "path": "sources/Work__BridgeGeom__B2.lean", + "repository": "https://github.com/jacobalansussman/wht-power-saving-lean", + "required_literals": [ + "def bankPrice (h : \u2115) (\u03c6 : \u2115 \u2192 \u211d) : \u211d :=", + "(bcost \u03c6 (2 * h - 2) + bcost \u03c6 (2 * h - 2)) + 2 * bcost \u03c6 (h - 1)", + "+ (bcost \u03c6 (2 * h + 2) + bcost \u03c6 (2 * h + 2)) + (bcost \u03c6 4 + bcost \u03c6 4)", + "live roles `card \u0393 * (4 card T + card Sl)`" + ], + "scope": "Generic source statement used with the unchanged pinned Work/GCert/Chain/Geom.lean bridge2_gcert; read and byte-bound here, not a new Lean build.", + "sha256": "ea4f37c283b6070577f5b4f644fdc2232ae1114f480b85cd765209dfc863de8d", + "upstream": "Work/BridgeGeom/B2.lean" +} diff --git a/research/w3-p10-pointwise-native/vendor/complex-reserve/LICENSE b/research/w3-p10-pointwise-native/vendor/complex-reserve/LICENSE new file mode 100644 index 0000000000..261eeb9e9f --- /dev/null +++ b/research/w3-p10-pointwise-native/vendor/complex-reserve/LICENSE @@ -0,0 +1,201 @@ + Apache License + Version 2.0, January 2004 + http://www.apache.org/licenses/ + + TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION + + 1. 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a/research/w3-p10-pointwise-native/vendor/complex-reserve/NOTICE-PR327-TRANSFER.md b/research/w3-p10-pointwise-native/vendor/complex-reserve/NOTICE-PR327-TRANSFER.md new file mode 100644 index 0000000000..b215ff6287 --- /dev/null +++ b/research/w3-p10-pointwise-native/vendor/complex-reserve/NOTICE-PR327-TRANSFER.md @@ -0,0 +1,26 @@ +# Attribution and scope + +Prepared for eumemic with substantial OpenAI Codex assistance; Apache-2.0. +This package contributes a source-bound operational transfer of the public +PR327 p10 complex supplier: parameterized complete scalar/frame splices, +recomputed p10 finite invoice and precision guards, generic B2 source binding, +and a mandatory full public-source replay before admission. It claims no κ. + +DreamingOfClouds (Anthropic Claude assistance) authored PR327's p10 modules, +public producer pipeline and certificates; its complete NOTICE is preserved +under `vendor/pr327/NOTICE`. The p10 query modules and certificate are used +byte for byte. The unused experimental modules derived in this chat are not +inputs to this package. All historical contributors, including icekylinx, +Avi Eisenberg/ikeboy, chafreaky/Chafik Boukhalfa, Jacob Sussman, eumemic, +DaysSky, hcg890 and SovereignSteak, retain the detailed attributions shipped +by PR327 and by the unmodified PR315 reference package. + +The reference label/scalar/splice/guard code comes from PR315 through the +frozen neutral-retiming package under `vendor/neutral`; its original notices, +source pins and manifest remain unchanged. This package does not use that +package's retimed p11 candidate. Every actual code adaptation for p10 is +logged in DERIVATION.json and reconstructed from the source bytes at runtime. +Jacob Sussman's gx and gxcore remain byte-identical and his generic B2 Lean +source is separately pinned at f010392c923279e3dd59ef3aa5fedad23affc5fd. +Credits do not imply endorsement or independent review. No exclusive priority, +new Lean build, unconditional multiplication theorem or runtime claim is made. diff --git a/research/w3-p10-pointwise-native/vendor/complex-reserve/NOTICE.md b/research/w3-p10-pointwise-native/vendor/complex-reserve/NOTICE.md new file mode 100644 index 0000000000..c9142e5b0e --- /dev/null +++ b/research/w3-p10-pointwise-native/vendor/complex-reserve/NOTICE.md @@ -0,0 +1,5 @@ +Prepared with substantial OpenAI Codex assistance; Apache-2.0. This new wrapper and adapter independently admit PR348 through mandatory fresh full regeneration and the generic PR327 operational transfer. + +PR348 was prepared by Chafik Boukhalfa with substantial Anthropic Claude assistance. Its unmodified full attribution, AI disclosures, modules, builders, expected results, and pinned references are retained at upstream/pr348/NOTICE. Those include LJH-217 / Louis Harrison, DreamingOfClouds, Jacob Sussman, and the complete source lineage. Inherited generic transfer attributions are retained in NOTICE-PR327-TRANSFER.md. Crediting a source does not imply its author reviewed or endorsed this adapter. + +The per-point program has no claimed Lean run. The PR348 verification and generic transfer are exact Python checks; all inherited analytic/geometry interfaces remain conditional. The consuming bit package must freshly admit its literal bit word, banks, prime minors, complete finite invoice, and assembly. diff --git a/research/w3-p10-pointwise-native/vendor/complex-reserve/README.md b/research/w3-p10-pointwise-native/vendor/complex-reserve/README.md new file mode 100644 index 0000000000..0ed6a6d746 --- /dev/null +++ b/research/w3-p10-pointwise-native/vendor/complex-reserve/README.md @@ -0,0 +1,5 @@ +# Fully regenerated PR348 p10 complex supplier + +Run `python -B verify.py --output /fresh/external/output`. Every replay checks all source bytes, executes unmodified PR348 full verification (without --quick), binds the canonical generated program ff2d7307…, and independently replays the generic PR327 exact scalar words, both reflected splices, physical guard, full bills, and both rational moment engines. + +Complex saving b = 794022782431403/1000000000000000000. R=6253; live=10093; physical=16367. This is a supplier result, not a combined κ claim. See upstream/pr348/NOTICE for preserved provenance and Anthropic Claude disclosures; this wrapper used OpenAI Codex assistance. No Lean build is claimed. diff --git a/research/w3-p10-pointwise-native/vendor/complex-reserve/SOURCE.json b/research/w3-p10-pointwise-native/vendor/complex-reserve/SOURCE.json new file mode 100644 index 0000000000..a8808da108 --- /dev/null +++ b/research/w3-p10-pointwise-native/vendor/complex-reserve/SOURCE.json @@ -0,0 +1,46 @@ +{ + "candidate_gzip_path": "upstream/pr348/certificates/gcert1-p10-b325-c2.json.gz", + "candidate_gzip_sha256": "5c51f5d5c70ef53526740e140d435828ae6bb2be072aae9eca3bc2c40f11265f", + "candidate_path": "candidate.json", + "candidate_sha256": "ff2d7307b09aceb8776654f21099b10a68be547b562b7f4a7fc918f6c5f51112", + "complex_coarse": "794022782431403/1000000000000000000", + "complex_coarse_without_fallback": "794022785498833/1000000000000000000", + "complex_prime_scope": "The complex certificate is over binary label spaces and exact rational/Gaussian scalar words. Its common-grid denominator check is rerun; no bit Gram determinant/prime stage is substituted by this supplier. The consuming bit package must freshly run its own actual-frame prime checks and full finite invoice.", + "declarative_source": true, + "generic_checker_provenance": { + "manifest_sha256": "b80813244bb9fa5cb4a1b5008768a3cc143bdd01a331ea4e23213bd5bf0891d4", + "public_pr327_head": "40ed0456ab1990beb3440e61bb883ccf95fdcea4", + "unchanged_files": { + "DERIVATION.json": "395e7d39b50d5aeb1cb83ce01bbccd80fee5b7fe3b540ed0741fa8ba626bbafa", + "GEOMETRY.json": "dee2bc3c443a3847e433b0ad719ab6ef7c7c4798272cfe34899f91edbcd5a7c0", + "finite_guard.py": "130af319e40767af714106ad4a0b7afd9a159c5b5c315bc8b495dd5e90496771", + "verify_supplier.py": "a16ec0de0b75bb406edb5daae620793dc292250cb3b26f47df4352b69cea355e" + } + }, + "ledger": { + "calls": 245675, + "copy_calls": 100, + "deficit": 2040, + "idle_calls": 7680, + "max_child": 42, + "rank_mass": 1007260 + }, + "neutral_reference_manifest_sha256": "dce8987eca4c22b3b7fb0bc4e2f1c21851fdfc73f8b7757f4c27f2442b677837", + "parameters": { + "R": 6253, + "W_live": 10093, + "h": 20, + "invocation_live": 8173, + "m": 100, + "v": 960 + }, + "producer_regeneration_claim": true, + "public_head": "550fb36b1958cf70d65929c601935eb3d7626294", + "public_pr": "https://github.com/CrocSwap/integer-mult-bounds/pull/348", + "scalar_primitive_steps": [ + 1187740, + 1225258 + ], + "scope": "Fresh full reproduction of the unmodified PR348 source package including its module/spec anchors, source-aligned flow/lift/contract, byte-identical gcert regeneration, both exact scalar checkers, and generic p10 operational transfer. Mandatory fresh full upstream verification runs in every replay; no Lean run or combined kappa claim.", + "upstream_package_manifest_sha256": "12ddc77ff4beafb848126f5b8d6ed9979614b66460e5aa1675e85e8ca97609d7" +} diff --git a/research/w3-p10-pointwise-native/vendor/complex-reserve/candidate.json b/research/w3-p10-pointwise-native/vendor/complex-reserve/candidate.json new file mode 100644 index 0000000000..d41f619169 --- /dev/null +++ b/research/w3-p10-pointwise-native/vendor/complex-reserve/candidate.json @@ -0,0 +1 @@ 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(gcert_emit.py from complex_frame_flow.py witness + exact_complex_flow_lift.py 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diff --git a/research/w3-p10-pointwise-native/vendor/complex-reserve/code/complex_basis.py b/research/w3-p10-pointwise-native/vendor/complex-reserve/code/complex_basis.py new file mode 100644 index 0000000000..8c400798a5 --- /dev/null +++ b/research/w3-p10-pointwise-native/vendor/complex-reserve/code/complex_basis.py @@ -0,0 +1,35 @@ +"""Portable pure functions extracted from the reviewed complex checks; no historical receipt readers.""" +from collections import Counter +from copy import deepcopy +from fractions import Fraction +Q=Fraction +from hashlib import sha256 +from pathlib import Path +from math import prod +import gzip,json,sys + +def need(b, why): + if not b: raise ValueError(why) + +def gl_count_test(): + # Exhaustively test a literal binary Gaussian-elimination implementation + # through m=4. Row swaps cost three selected-bit additions. + out=[] + for m in range(1,5): + good=mx=0 + for word in range(1<<(m*m)): + rows=[(word>>(m*i))&((1<>k&1),None) + if p is None: break + if p!=k: rows[p],rows[k]=rows[k],rows[p];ops+=3 + for i in range(m): + if i!=k and rows[i]>>k&1: rows[i]^=rows[k];ops+=1 + else: + need(rows==[1<0, f"{where}: coefficient shape") + q=Fraction(a,b) + odd=q.denominator + while odd%2==0: + odd//=2 + need(odd in (1,3), f"{where}: literal coefficient outside dyadic/divisor-three grid") + return q + +def replay_label_counts(c, expected): + """Full finite LABEL walk only. Never multiplies the 11,676-square scalar map.""" + need(c.get("format")=="gcert/1", "format") + need(c["h"]==20 and c["v"]==960 and c["R"]>0 and c["cst"]==20*18 and c["N"]==20*c["R"]+2*960*19+20*18, "p10 parameter/count identity") + h,v,R=c["h"],c["v"],c["R"]; n=2*v+R + need(c.get("ext")==[], "baseline has no exterior-gauged helper inputs") + frames=c["frames"]; dim=list(map(len,frames)) + need(len(frames)==expected["frames"], "source-bound frame-table count") + need(frames[0]==[] and frames[1]==[1<piv[i+1] for i in range(len(piv)-1)), "frame pivot order") + need(all(not(b>>p&1) for i,b in enumerate(f) for j,p in enumerate(piv) if i!=j), + "frame is not reduced echelon") + ports=c["ports"] + need(len(ports)==v==len(set(ports)), "port count/uniqueness") + need(all(type(p) is int and 0=4 and g[0] in ("out","in"), where+": gate shape") + tag,f,pivot,terms=g[:4] + need(len(g)==(5 if tag=="out" else 4), where+": gate arity") + need(type(f) is int and 0<=f{tr}"]+=1 + totals[phase]["scalar_additions"]+=1 + if sr==tr=="y": + ybracket[(source,target)]+=q;ypiv.add(source);ytarget.add(target) + for r in regs: + climb(r,f,phase) + if phase=="A": + cut=cur.copy() + need(all(cur[v+t]==0 for t in range(v)), "scatter: Y role moved too early") + for k,r,f in c["ret"]: + need(type(r) is int and 2*v<=r>k&1 else c["scat"]["outside"]),"scatter")) + for p in ports for k in range(h)) + return { + "frame_count":len(frames),"tested_distinct_nested_pairs":len(pairs), + "live_registers_per_invocation":n,"temporary_centers":h, + "ranked_live_transitions":transitions, + "phase_stats":totals,"role_histograms":measured, + "phase_histograms":{p:hist(x) for p,x in by_phase.items()}, + "invocation_histogram":hist(combined),"invocation_calls":sum(combined.values()), + "invocation_rank_mass":mass,"retained_centers":c["ret"], + "phase_state_sha256":{"start":digest(start),"after_A":digest(cut), + "after_B":digest(before_final),"final":digest(final)}, + "literal_gate_coefficients":dict(sorted(literal.items())), + "scalar_role_directions":dict(sorted(kind.items())), + "scatter_coefficients":dict(sorted(scatter.items())), + "scatter_additions":sum(scatter.values()),"Cc_copy_additions":h, + "two_hosts_metadata_count":len(c.get("two_hosts",[])), + "two_hosts_note":"Metadata only; not an independent allocator or host-use proof.", + "Y_bracket_pairs":len(ybracket), + "literal_inverse":"Each nonself additive shear inverts by negating its coefficient; inverse phase reverses order; inverse transpose keeps chronological order and swaps source/target with negation.", + "limits":["No scalar all-column replay","No old-response or cleanup matrix formed", + "No generated Lean data comparison or kernel build","No physical stream compiler"] + } + +def scalar_word(ops): + matrix=[[int(i==j) for j in range(4)] for i in range(4)] + for target,source,q in ops: + matrix[target]=[a+q*b for a,b in zip(matrix[target],matrix[source])] + return matrix diff --git a/research/w3-p10-pointwise-native/vendor/complex-reserve/code/complex_scalars.py b/research/w3-p10-pointwise-native/vendor/complex-reserve/code/complex_scalars.py new file mode 100644 index 0000000000..3651b5852e --- /dev/null +++ b/research/w3-p10-pointwise-native/vendor/complex-reserve/code/complex_scalars.py @@ -0,0 +1,220 @@ +"""Portable pure functions extracted from the reviewed complex checks; no historical receipt readers.""" +from collections import Counter +from copy import deepcopy +from fractions import Fraction +Q=Fraction +from hashlib import sha256 +from pathlib import Path +from math import prod +import gzip,json,sys + +V=R=H=None +def configure(c): + global V,R,H + V,R,H=c["v"],c["R"],c["h"] + need((V,H)==(960,20) and R>0,"p10 scalar dimensions") +def need(x,msg): + if not x:raise ValueError(msg) + +def kind(r):return "X" if r>k&1 else c["scat"]["outside"])) + yield add(live(V+t),tmp(r),q) + yield from part(B) + +def old_word(orientation,K): + if orientation=="forward": + yield from (copy(("T",q),live(2*V+q)) for q in range(R)) + for e in K: + op,t,s,a,b=e + yield add(t,s,Q(-a if t[0]=="L" else a,b)) + else: + yield from (clear(("T",q)) for q in range(R)) + for op,t,s,a,b in reversed(K): + yield add(s,t,Q(a,b)) + yield from (add(live(2*V+q),("T",q),Q(1)) for q in range(R)) + yield from (clear(("T",q)) for q in range(R)) + +def cleanup(orientation,AB): + for t,s,q in reversed(AB): + if kind(t)=="Y":continue + if orientation=="forward":yield add(live(t),live(s),-q) + else:yield add(live(s),live(t),q) + +def main_scalar(orientation,A,B,c): + def phase(gs): + for t,s,q in gs: + if orientation=="forward":yield add(live(t),live(s),q) + else:yield add(live(s),live(t),-q) + yield from phase(A) + # Every center is a complete temporary stream and one rank20 child, + # initialized/read/discarded before the next center uses the work stock. + for k,r,_ in c["ret"]: + yield clear(center(k)) + if orientation=="forward":yield add(center(k),live(r),Q(1)) + for t,p in enumerate(c["ports"]): + q=Q(*(c["scat"]["inside"] if p>>k&1 else c["scat"]["outside"])) + if orientation=="backward":yield add(center(k),live(V+t),q) + yield ("recursive_center",k,H-2) + if orientation=="forward": + for t,p in enumerate(c["ports"]): + q=Q(*(c["scat"]["inside"] if p>>k&1 else c["scat"]["outside"])) + yield add(live(V+t),center(k),q) + else:yield add(live(r),center(k),Q(-1)) + yield clear(center(k)) + yield from phase(B) + +def inv_schedule(orientation,A,B,c): + K=list(old_positive(A,B,c)) + yield from ((p,e) for p,es in [ + ("old_response",old_word(orientation,K)), + ("main",main_scalar(orientation,A,B,c)), + ("cleanup",cleanup(orientation,A+B))] for e in es) + +def coeff_steps(q): + """Non-destructive coefficient expansion using one complete work stream. + Copy source, double/halve/divide by3 as needed, add/subtract, clear. + Counts Gaussian operations; multiply by2 for real/imag component primitives.""" + a,b=abs(q.numerator),q.denominator + need(a in (1,2) and b in (1,2,3,6),"unsupported new coefficient") + return 3+int(a==2)+int(b%2==0)+int(b%3==0) + +def bill(schedule): + phases={p:Counter() for p in ("old_response","main","cleanup")} + coeffs={p:Counter() for p in phases} + tape=sha256() + for p,e in schedule: + tape.update((json.dumps((p,e),separators=(",",":"))+"\n").encode()) + phases[p]["all_macros"]+=1 + if e[0]=="recursive_center": + phases[p]["recursive_centers"]+=1 + phases[p]["recursive_rank_mass"]+=e[2] + continue + phases[p]["scalar_macros"]+=1 + phases[p][e[0]]+=1 + if e[0]=="add": + q=Q(e[3],e[4]);coeffs[p][str(q)]+=1 + phases[p]["Gaussian_primitive_steps"]+=coeff_steps(q) + phases[p]["scalar_log2_magnitude_charge"]+=1+int(abs(q)==2) + phases[p]["halving_exposure"]+=int(q.denominator%2==0) + phases[p]["divisor3_exposure"]+=int(q.denominator%3==0) + else:phases[p]["Gaussian_primitive_steps"]+=1 + for p in phases:phases[p]["real_component_primitive_steps"]=2*phases[p]["Gaussian_primitive_steps"] + total=sum((Counter({k:v for k,v in x.items() if k not in ["recursive_rank_mass"]}) for x in phases.values()),Counter()) + return {"phases":{p:dict(x) for p,x in phases.items()},"coefficient_histograms":{p:dict(x) for p,x in coeffs.items()}, + "totals":dict(total),"schedule_sha256":tape.hexdigest(), + "other_main_recursive_calls":"Live-label transitions are independently recounted and charged by the label and splice checkers; not scalar macros"} + +def mm(A,B):return [[sum((x*y for x,y in zip(row,col)),Q(0)) for col in zip(*B)] for row in A] + +def lifecycle(schedule): + """Verify that new scalar-only work stock never survives into a child.""" + initialized=set();dirty=set();active_centers=set();seen_main=False;children=0 + for phase,e in schedule: + if phase=="main" and not seen_main: + need(not dirty,"old-response tableau survives into recursive main phase") + seen_main=True + need(e[0] in ("add","copy","clear","recursive_center"),"unknown or unpaid recursive operation") + if e[0]=="recursive_center": + k=e[1] + need(type(k) is int and 0<=k0,"p10 splice dimensions") +PHASES=["old_response","ad0","A","centers","B","final","adF","cleanup","done"] +def need(x,s): + if not x:raise ValueError(s) + +def blobhash(p):return sha256(p.read_bytes()).hexdigest() + +def digest(x):return sha256(json.dumps(x,separators=(',',':'),sort_keys=True).encode()).hexdigest() + +def role(r):return 'X' if r0 else -1),clear(work)] + +def emit(c,ori): + """Construct the complete local parametric invocation, before cover routing. + One role stream is its full complete address rectangle. Frame labels denote + exact canonical representatives, never just rank or binary matrices. + """ + A=list(flat(c['A']));B=list(flat(c['B']));cur=c['start'].copy() + K=[] + for part in (A,None,B): + if part is None: + for t,p in enumerate(c['ports']): + for k,r,f in c['ret']: + K.append(add(L(V+t),T(r),Q(*(c['scat']['inside'] if p>>k&1 else c['scat']['outside'])))) + else: + for t,s,q in part: + if role(s)=='X':continue + K.append(add(T(t) if role(t)=='S' else L(t),T(s),q)) + yield ('phase','old_response') + if ori=='forward': + for q in range(R):yield scal('old_response',copy(('T',q),L(2*V+q)),'old0') + for _,t,s,a,b in K:yield scal('old_response',add(t,s,Q(-a if t[0]=='L' else a,b)),'old0') + else: + for q in range(R):yield scal('old_response',clear(('T',q)),'old0') + for _,t,s,a,b in reversed(K):yield scal('old_response',add(s,t,Q(a,b)),'old0') + for q in range(R):yield scal('old_response',add(L(2*V+q),('T',q),Q(1)),'old0') + for q in range(R):yield scal('old_response',clear(('T',q)),'old0') + yield ('phase','ad0') + for r,f in enumerate(c['start']):yield ('adapter','old_to_new',r,f) + for part in ['A','centers','B','final']: + yield ('phase',part) + if part in ['A','B']: + for g in c[part]: + regs=[g[2]]+[x[0] for x in g[3]]+(g[4] if g[0]=='out' else []) + for r in regs: + if cur[r]!=g[1]: + old=cur[r];cur[r]=g[1] + yield ('climb',part,r,old,g[1],len(c['frames'][g[1]])-len(c['frames'][old])) + for t,s,q in flat([g]): + e=add(L(t),L(s),q) if ori=='forward' else add(L(s),L(t),-q) + yield scal('main',e,g[1]) + elif part=='centers': + for k,r,f in c['ret']: + yield scal('main',clear(C(k)),f if ori=='forward' else 0) + if ori=='forward':yield scal('main',add(C(k),L(r),Q(1)),f) + else: + for t,p in enumerate(c['ports']): + yield scal('main',add(C(k),L(V+t),Q(*(c['scat']['inside'] if p>>k&1 else c['scat']['outside']))),0) + yield ('center',k,f if ori=='forward' else 0,0 if ori=='forward' else f,H-2) + if ori=='forward': + for t,p in enumerate(c['ports']): + yield scal('main',add(L(V+t),C(k),Q(*(c['scat']['inside'] if p>>k&1 else c['scat']['outside']))),0) + else:yield scal('main',add(L(r),C(k),Q(-1)),f) + yield scal('main',clear(C(k)),0 if ori=='forward' else f) + else: + for r,f in enumerate(c['final']): + if cur[r]!=f: + old=cur[r];cur[r]=f + yield ('climb','final',r,old,f,len(c['frames'][f])-len(c['frames'][old])) + yield ('phase','adF') + for r,f in enumerate(c['final']):yield ('adapter','new_to_old',r,f) + yield ('phase','cleanup') + for t,s,q in reversed(A+B): + if role(t)=='Y':continue + e=add(L(t),L(s),-q) if ori=='forward' else add(L(s),L(t),q) + yield scal('cleanup',e,'old1') + yield ('phase','done') + +def contains(U,V): + for u in U: + for v in V: + if u>>(v.bit_length()-1)&1:u^=v + if u:return False + return True + +def validate(events,c,ori,manifest,bill): + phase=None;seen=[];cur=c['start'].copy();cent={};dirty=set();initialized=set() + climbed=Counter();hist=Counter();projection=sha256();whole=sha256();counts=Counter();ad0=[];adF=[] + pairs=set();states={};all_frame_incidence=0;primitive=sha256();primitive_count=0 + for ev in events: + whole.update((json.dumps(ev,separators=(',',':'))+'\n').encode()) + tag=ev[0];counts[tag]+=1 + if tag=='phase': + if phase=='A':states['after_A']=digest(cur) + if phase=='B':states['after_B']=digest(cur) + if phase=='final':states['final']=digest(cur) + phase=ev[1];seen.append(phase) + need(seen==PHASES[:len(seen)],'strict old/A/copy/B/final/adapter/cleanup chronology') + if phase=='ad0':need(not dirty,'old-response tableau survived before label recursion') + if phase=='A':need(ad0==list(enumerate(c['start'])),'missing or reordered exact entry adapter') + if phase=='adF':need(cur==c['final'],'final climbs omitted before cleanup') + if phase=='cleanup':need(adF==list(enumerate(c['final'])),'missing or reordered exact final adapter') + continue + if tag=='adapter': + _,which,r,f=ev + if which=='old_to_new':need(phase=='ad0','entry adapter position');ad0.append((r,f)) + else:need(which=='new_to_old' and phase=='adF','final adapter position');adF.append((r,f)) + elif tag=='climb': + _,p,r,old,new,d=ev + need(phase==p and p in ['A','B','final'],'live child outside source label walk') + need(not dirty and not cent,'new work stock or center active during live child') + need(cur[r]==old and d==len(c['frames'][new])-len(c['frames'][old]) and d>0,'wrong exact child endpoints/rank') + pair=(old,new) + if pair not in pairs:need(contains(c['frames'][old],c['frames'][new]),'nonnested child');pairs.add(pair) + cur[r]=new;climbed[p]+=1;hist[d]+=1 + elif tag=='center': + _,k,old,new,d=ev + need(phase=='centers' and not dirty and set(cent)=={k},'center child ownership') + need(cent[k]==old and (k,c['ret'][k][1],c['ret'][k][2])==tuple(c['ret'][k]),'center input frame') + f=c['ret'][k][2] + need((old,new,d)==((f,0,H-2) if ori=='forward' else (0,f,H-2)),'center child direction/rank') + cent[k]=new;hist[d]+=1 + projection.update((json.dumps(('main',('recursive_center',k,d)),separators=(',',':'))+'\n').encode()) + elif tag=='scalar': + _,p,e,f=ev + need(p==('main' if phase in ['A','centers','B'] else phase),'scalar phase binding') + need(e[0] in ['add','copy','clear'],'unpaid scalar operation') + target=e[1];source=e[2] if e[0] in ['add','copy'] else None + for x in [target]+([source] if source else []): + bank,r=x + if bank=='T':need(phase=='old_response' and 0<=r0 and W==4*v+R,'p10 complex dimensions') + need(l['deficit']==4*v-5*h*(h-2)==2040 and l['max_child']==2*h+2==42,'p10 five-stage endpoint invoice') + scalar=max(bill[o]['totals']['real_component_primitive_steps'] for o in ['forward','backward']) + macros=max(bill[o]['totals']['scalar_macros'] for o in ['forward','backward']) + scalar5=3*bill['forward']['totals']['real_component_primitive_steps']+2*bill['backward']['totals']['real_component_primitive_steps'] + physical=W+R+h+1 + adapters=8*(macros+manifest['checks']['invocation_calls']+p['invocation_live']+h)+32*dim + outside=8*(l['idle_calls']+6*v+physical)+32*dim + compiler=64*(dim+1)**3 + local=scalar+adapters*compiler + pervertex=scalar5+12*v+(5*adapters+outside)*compiler+64*physical + group=(1<<(dim-1+(dim//2-1)**2))*prod((1<<(2*i))-1 for i in range(1,dim//2)) + live_stock=group*W;physical_stock=group*physical;s=group*l['rank_mass'] + K=group*pervertex+64;router=compiler*(K+1)*(physical_stock+1)**2 + G,E,C0=1<<30000,1<<100000,1<<210000;B=s+E + literal=2*G*physical_stock**2+8*s+4*physical_stock+4+32*dim + need(local<1<<48 and K<1<<6050,'recomputed p10 local/global bill exceeds retained overcharge') + need(router0,'row reserve gap') + need(2*(dim*(dim-1)+3*dim+dim+3*dim*(dim-1)//2+dim+1)+2*dim (Fintype.card (Orth (L5 H)) : ℝ) + * (5 * I.cost φ + (Fintype.card T : ℝ) * bankPrice (Fintype.card H) φ)) := + bridge2_certificate (geomBridge2 I base l hbase hH) + +/-- **Block certificate of the bridged word B_2**, for any block circuit with bases through its +input vectors. -/ +theorem bridge2_bcert (N : CB.XNetData H T Sl C) : + ∃ (Γ : Type) (_ : Fintype Γ) (_ : DecidableEq Γ), 1 ≤ Fintype.card Γ ∧ + BCert (L5 H) (Sum.inl : BLive Γ T Sl → BRole Γ T Sl C) + (fun φ => (Fintype.card Γ : ℝ) + * (5 * N.X.cost φ + (Fintype.card T : ℝ) * bankPrice (Fintype.card H) φ)) := by + have hH2 := N.hH + have hH1 : 1 ≤ Fintype.card H := by omega + have hpos : 0 < Fintype.card H := by omega + obtain ⟨l⟩ : Nonempty H := Fintype.card_pos_iff.mp hpos + have hb : ∀ t, N.X.inv.tv t = (reindex (N.base t) (Equiv.swap (N.piv t) l)).v l := by + intro t + show N.X.K.tv t = _ + rw [N.hbase t] + show (N.base t).v (N.piv t) = (N.base t).v (Equiv.swap (N.piv t) l l) + rw [Equiv.swap_apply_right] + refine ⟨Orth (L5 H), inferInstance, inferInstance, Orth.card_pos, ?_⟩ + exact bridge2_bcert_geom N.X.inv (fun t => reindex (N.base t) (Equiv.swap (N.piv t) l)) l hb hH1 + +end +end +end BG +end PowerSaving +end OAI + +namespace SSC +namespace PCert +open OAI OAI.PowerSaving OAI.PowerSaving.Binary OAI.PowerSaving.RAM OAI.PowerSaving.CB + OAI.PowerSaving.RF OAI.PowerSaving.BR OAI.PowerSaving.BG + +variable {c : PCert} + +/-- **Block certificate of the bridged word B_2 with a kernel-checked helper circuit.** +`v = c.v` triples, `R = c.R` helper slots, `h = c.p.h`; label dimension `5h`; live roles +`card Γ * (4 v + R)`; merged idle climbs. -/ +theorem Valid.bridge2_bcert (V : c.Valid) (hid : c.ScalarId V.hR) (h2 : 2 ≤ c.p.h) : + ∃ (Γ : Type) (_ : Fintype Γ) (_ : DecidableEq Γ), 1 ≤ Fintype.card Γ ∧ + BCert (L5 (Fin c.p.h)) + (Sum.inl : BLive Γ (Fin c.v) (Fin c.R) → BRole Γ (Fin c.v) (Fin c.R) (Fin c.p.h)) + (fun φ => (Fintype.card Γ : ℝ) + * (5 * (rcost φ c.invRanks + 2 * ((c.v : ℝ) * bcost φ (c.p.h - 1))) + + 2 * ((c.v : ℝ) * (bcost φ (c.p.h - 1) + bcost φ (2 * c.p.h - 2) + + bcost φ (2 * c.p.h + 2) + bcost φ 4)))) := by + obtain ⟨Γ, i1, i2, hG, h⟩ := BG.bridge2_bcert (V.xnetdata hid 0 h2) + refine ⟨Γ, i1, i2, hG, h.cast (fun φ => ?_)⟩ + show (Fintype.card Γ : ℝ) * (5 * (V.xcircuit hid).cost φ + + (Fintype.card (Fin c.v) : ℝ) * BG.bankPrice (Fintype.card (Fin c.p.h)) φ) = _ + rw [V.xcost hid φ, Fintype.card_fin, Fintype.card_fin] + unfold BG.bankPrice + ring + +end PCert +end SSC + +#print axioms OAI.PowerSaving.BG.bridge2_bcert_geom +#print axioms OAI.PowerSaving.BG.bridge2_bcert +#print axioms SSC.PCert.Valid.bridge2_bcert diff --git a/research/w3-p10-pointwise-native/vendor/complex-reserve/upstream/pr348/MANIFEST.json b/research/w3-p10-pointwise-native/vendor/complex-reserve/upstream/pr348/MANIFEST.json new file mode 100644 index 0000000000..08f47d3a8e --- /dev/null +++ b/research/w3-p10-pointwise-native/vendor/complex-reserve/upstream/pr348/MANIFEST.json @@ -0,0 +1,78 @@ +{ + "description": "sha256 of every file of research/w3-p10b-pointwise-complex except this one; verify.py requires the package to be exactly these files", + "files": { + "NOTICE": 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Apache-2.0. +Inherited files keep their original notices and assistance disclosures. This package claims no exclusive priority +over concurrent work. + +What this package contributes: +- the per-point p = 10 complex program (claim 7940/10^7, coarse b = 794022782431403/10^18), together with its + pointwise pair modules, its frozen layer and its spec; +- the per-invocation module spec and builder (spec_graph.py, aligned_word_spec.py, and anchors (e) and (f)); +- the composition of that program with PR #346's bit word, an independent recount of that word's paid children, + and the reproduction of PR #346's kappa; +- verify.py, MANIFEST.json and the git-blob pins of SOURCE.json. + +Everything else is retained and credited: + +- LJH-217 / Louis Harrison (Anthropic Claude assistance), PR #346 (research/w3-p10b-complex-p10 at 11b4de5): the + final w3 bit word on PR #325's p10b word. It is vendored unchanged in bit/pr346/, with its records, hash list, + kappa receipt, LICENSE and NOTICE.md. PR #346 also composed it with a p = 10 complex supplier and computed the + complex-bound kappa that this package reproduces. Its bit word's own checks (Design T verifier, PR #266 + checkers, primes, bank tiling) are PR #346's and are not re-run here. +- utcorvusvolat-dotcom: PR #310, the w3 Design T and twin condensation, with their builders and cost model, which + PR #346 ported to h = 20. +- PR #266's official cohort legality and five-stage column checkers, as run by PR #346. +- DreamingOfClouds (Anthropic Claude assistance): + - PR #325 (c4f1b74): the p10b bit word under PR #346's, the re-annealed pair module pm_p10.json (the default pair + module of the spec and the start of the pointwise climb) and the all-but-one module qmod_p10.json; + - PR #315: the p = 10 five-stage package, qmod_p10.json, the centre-sharing Graph.finish patch, and the outer + assembly convention (complex-bound path) used for kappa; + - PR #327 (40ed045): the p = 10 complex supplier, its recipe and chain (aligned_word_p.py, centre46.py, + paircheck.py, normalize_scatter.py, module_cut.py, discovery/pr327/), the triple module tmod_t2_p10.json, and + verify.py, which this verify.py generalises; all vendored byte for byte; + - PR #304: the p = 11 recipe. +- Jacob Sussman (Anthropic Claude assistance): gcert/1, gx.py and gxcore.py (vendored unchanged in gx/, + Apache-2.0, Copyright 2026 Jacob Sussman, jacobalansussman/wht-power-saving-lean at f010392c), the bridged + five-stage layout B_2, and the Lean generator and Compare.lean used for the companion program. +- chafreaky / Chafik Boukhalfa (Anthropic Claude and OpenAI Codex assistance): + - PR #233: the maximum-weight pairing, and the layer package vendored in references/pr233-layer/; + - PR #200: the frame descent and the complete complex checker; + - PR #256: the gcert emitter gcert_emit.py; + - PR #225: scripts/moment.py; + - PR #329: pricing/outer.py, which is PR #315's unchanged. +- icekylinx (OpenAI GPT-6 Astra and Codex assistance): PR #144 paired cubes and Graph.finish; PR #184 the + source-assisted construction, frame flow, exact lift and contract. +- Avi Eisenberg (ikeboy): PR #191/193/194/202, the source-aligned pipeline and the PR #202 baseline. +- eumemic (Anthropic Claude and OpenAI Codex assistance): + - PR #168 modules and frames; + - the source527 rational moment engines (scripts/source527/, see its NOTICE); + - outer.py, the 47-constraint outer assembly of PR #315 (from icekylinx's PR #144 and Zhihao Chen's PR #23, + with hipotures' balanced prefix). +- DaysSky: PR #162, the extended carrier closure. +- hcg890: PR #234, the five-stage architecture and the 10^-16 fallback envelope. +- SovereignSteak: PR #250. +- Evan McKinney: the completed banks of the five-stage packages. +- Rohan Arun: the joint-dual re-pin in PR #327's head. +- The PR #202 baseline lineage, as credited in references/pr233-layer/NOTICE. +- OpenAI: the original complex phase network of "Integer multiplication below n log n". + +The credits above do not imply review or endorsement by the credited authors. diff --git a/research/w3-p10-pointwise-native/vendor/complex-reserve/upstream/pr348/PROOF.md b/research/w3-p10-pointwise-native/vendor/complex-reserve/upstream/pr348/PROOF.md new file mode 100644 index 0000000000..959247c3f6 --- /dev/null +++ b/research/w3-p10-pointwise-native/vendor/complex-reserve/upstream/pr348/PROOF.md @@ -0,0 +1,101 @@ +# Conditional κ = 793392809291691/10¹⁸: PR #346's bit word with a per-point p = 10 complex supplier + +**Claim (conditional, finite).** Assume the inherited interfaces of PR #315/#325/#346. Take PR #346's final w3 +bit word (bit coarse saving c = 32069035133443/(4·10¹⁶)) together with the complex program +`certificates/gcert1-p10-b325-c2.json.gz` (complex coarse saving b = 794022782431403/10¹⁸). Then PR #315's outer +assembly admits κ = 793392809291691/10¹⁸ with the complex side binding, and rejects the next 10⁻¹⁸ point. The +same computation applied to PR #346's own b = 396604388013523/(5·10¹⁷) gives PR #346's κ = +396290046684973/(5·10¹⁷) exactly. + +## 1. The complex program + +The program is PR #327's recipe and chain, vendored at `40ed045`, applied to the modules of `spec/c2.json`. Each +invocation has its own module: + +| invocations | module | +|---|---| +| triple module | PR #327's `tmod_t2_p10.json` | +| 90 all-but-one invocations | PR #325's `qmod_p10.json` | +| pair invocations (i, 0) and (i, 1) | `modules/pointwise/pmod_i{i}.json` | + +The layer is `layers/c2/`: 6,779 carrier arcs, 10,036 moved frames, 1,680 maximum-weight pairs and no kernel pairs. + +The graph is built by `spec_graph.finish_spec`, which is PR #327's `centre46.finish_centre46` with the module +looked up per invocation. Two anchors check it against PR #327's code on the one-module-per-kind spec +`spec/uniform.json`: + +- **(e)** `finish_spec` and `finish_centre46` build the same graph, in every field; +- **(f)** `aligned_word_spec.py --spec` and PR #327's `aligned_word_p.py --centre46` write the same seven files. + +`aligned_word_spec.py` differs from `aligned_word_p.py` only in its graph-building branch. + +The full run then applies PR #327's chain to the per-point word, and every step must pass: + +1. the module contracts (`load_pmod46` for every pointwise module); +2. `compile_closure` on the frozen arcs, and the forward closure returning every frozen frame; +3. `paircheck.py` with five mutation controls; +4. PR #200's complete complex checker; +5. PR #184's flow (new R 6,253) and the exact lift; +6. PR #194's contract (13 checks); +7. PR #256's emitter, then `gx.check1` (labels, blocks, N = R·h + 2v(h − 1) + cst = 161,900, exact scalar + identity) and the `gxcore` mirror, both on the raw program and on its star form; +8. the E5 controls; +9. byte equality with the committed program (canonical sha256 `ff2d7307…5112`). + +**Price.** The five-stage word at h = 20 has H₅ = 5·H_inv + 2v(e₃₈ + e₁₉ + e₄₂ + e₄), m = 100, W = 4v + R = +10,093, deficit 2,040. The exact bounds give: + +- PR #225's upper bound: a = 7940/10⁷, with and without the 10⁻¹⁶ fallback; +- source527's lower bound: 7941/10⁷ is rejected; +- both rational engines: b = 794022782431403/10¹⁸ with the fallback (794022785498833/10¹⁸ without), with the next + 10⁻¹⁸ point excluded. + +The program has not been built in Lean (§4). + +## 2. The bit word + +The bit word is PR #346's and is vendored unchanged. `verify.py` checks the following: + +- **records.** The decompressed final records match PR #346's `RECORD-SHA256SUMS` (`TT/249-records.bin`). They + are 405,188 six-tuples: 47,020 MOVE, 358,128 ADD, 20 COPY and 20 ERASE. +- **paid children.** An independent recount over the MOVE and COPY records gives H (45,884 children, rank mass + 169,560). +- **normalized histogram.** PR #346's histogram is 60·H + 12·2v·(e₃₈ + e₁₉ + e₄₂ + e₄) exactly. +- **stock.** W = 125,712 = 12·(4v + 132,720/20), taken from PR #346's receipt. +- **bit saving.** Both engines certify c = 32069035133443/(4·10¹⁶) with the 10⁻¹⁶ fallback and exclude the next + point. This equals PR #346's c. + +The bit word's own legality (Design T, PR #266's checkers, primes, banks) is PR #346's claim and is not re-run here. + +## 3. κ + +The steps are PR #315's `math_check` (as in PR #329) on the complex-bound path: + +1. β = 10⁻⁹, η = 10⁻¹², and the cap is (1 − β)·b. +2. Take s = min(c, ⌊cap − 10⁻¹⁸⌋₁₀⁻¹⁸). Here s < c, so the complex side binds. s is re-certified by the moment. +3. Bootstrap three times from 384599/10¹⁰: a ← (1 − s)·s + s·a. +4. Set q = a(1 − 2η) and minimum = (1 − η)·q/(1 + q). κ is the last 10⁻¹⁸ grid point strictly below the minimum. +5. `outer.assembly(a, b, bridge, κ)` passes all 47 strict constraints and the 7 margins. At κ + 10⁻¹⁸ it fails. At + the cap itself it fails `leaf_saving_above_bit`. + +The results: + +| complex b | κ | +|---|---| +| PR #346: 396604388013523/(5·10¹⁷) | 396290046684973/(5·10¹⁷) ≈ 7.92580093369946·10⁻⁴ (reproduced) | +| this package: 794022782431403/10¹⁸ | **793392809291691/10¹⁸ ≈ 7.93392809291691·10⁻⁴** | + +The gain is +812715921745/10¹⁸ = +0.1025 %. + +## 4. What is not claimed + +- **No Lean build of the 7940/10⁷ program yet.** It passes `gx.check1`, `gxcore` and every Python check above. The + companion 7932/10⁷ program (`spec/uniform.json`) was built in Lean with Sussman's unchanged generator + (`wht_main_block_B2Gcu32x` at 1 − 7932084/10¹⁰, `Compare.lean` PASS; `lean/companion-7932-evidence.txt`). +- **PR #346's bit-side obligations** are inherited unchanged: the w3 downstream chain is not ported to p = 10, the + bank feasibility only, and the scalar/prime/finite stages. +- PR #315's portable complex checks, ported to p = 10 by PR #346 (labels, scalar words, splice, precision guard), + are not run on this program. +- The five-stage B₂ ledger at h = 20 and the 10⁻¹⁶ fallback envelope are inherited assumptions, as in PR + #327/#346. +- This is a conditional finite construction under the retained public all-size hypotheses, not a theorem about κ. diff --git a/research/w3-p10-pointwise-native/vendor/complex-reserve/upstream/pr348/README.md b/research/w3-p10-pointwise-native/vendor/complex-reserve/upstream/pr348/README.md new file mode 100644 index 0000000000..cfea704e2d --- /dev/null +++ b/research/w3-p10-pointwise-native/vendor/complex-reserve/upstream/pr348/README.md @@ -0,0 +1,123 @@ +κ = 7.93392809291691e-4 + +# PR #346's w3 bit word with a per-point p = 10 complex supplier + +A conditional finite construction with **κ = 793392809291691/10¹⁸ ≈ 7.93392809291691 × 10⁻⁴**. That is ++8.127·10⁻⁷ (+0.1025 %) over PR #346 (κ = 396290046684973/(5·10¹⁷) ≈ 7.92580093369946·10⁻⁴). + +PR #346 (LJH-217) put PR #310's w3 Design T and twin condensation on PR #325's p10b bit word. That word's bit +coarse saving lies above every known complex cap, so κ is set by the complex supplier. This package keeps PR +#346's bit word unchanged and replaces its complex supplier with a stronger p = 10 program of the same recipe. In +that program each point i has its own pair module, shared by both bits. + +| side | supplier | coarse saving (10⁻¹⁶ fallback) | +| --- | --- | ---: | +| bit | PR #346's final w3 word on PR #325's p10b word (vendored) | c = 32069035133443/(4·10¹⁶) ≈ 8.01725878336075·10⁻⁴ | +| complex, PR #346 | p = 10 gcert/1 program, PR #325's pair module, flow R 6,265 | 396604388013523/(5·10¹⁷) ≈ 7.93208776027046·10⁻⁴ | +| **complex, this package** | **p = 10 gcert/1 program, pointwise pair modules, R 6,253** | **b = 794022782431403/10¹⁸ ≈ 7.94022782431403·10⁻⁴** | + +Both suppliers make the complex side bind. Here the bit saving is capped one 10⁻¹⁸ grid point below the leaf cap +(1 − 10⁻⁹)·b and fed through PR #315's outer assembly, which checks 47 strict constraints and the finite bridge. +`verify.py` first reproduces PR #346's κ exactly from PR #346's b, then computes κ from this package's b. In both +cases the next 10⁻¹⁸ κ and the cap itself are rejected. + +## Complex supplier + +The word, recipe and chain are PR #327's (at `40ed045`): the source-assisted complex word of PR #184/#194 at +p = 10, with the centre-sharing graph, HK carrier arcs plus PR #162's extension, PR #200's frame descent, PR #233's +maximum-weight pairs, PR #184's flow and exact lift, PR #194's contract and PR #256's emitter. The query modules +come from `spec/c2.json`: + +- triple module: PR #327's `tmod_t2_p10.json`; +- all-but-one module: PR #325's `qmod_p10.json` (PR #315's), the same for all 90 invocations; +- pair module of point i (both bits): `modules/pointwise/pmod_i{i}.json`. These six distinct files were found by a + greedy climb that started from PR #325's `pm_p10.json` (`discovery/README.md`). Each has 36 inputs plus the + star-centre root, and `centre46.load_pmod46` checks its contract. + +| program | R | W | N | blocks | a | rejected | coarse b (/10¹⁸) | Lean | +|---|---|---|---|---|---|---|---|---| +| PR #327 centre-mw | 6,455 | 10,295 | 165,940 | 47,979 | 7795/10⁷ | 7796/10⁷ | 779597612622781 | 1 − 7795973/10¹⁰ | +| shared #325 modules (`spec/uniform.json`; same b as PR #346's supplier) | 6,265 | 10,105 | 162,140 | 47,619 | 7932/10⁷ | 7933/10⁷ | 793208776027046 | 1 − 7932084/10¹⁰ | +| **pointwise pair modules (`spec/c2.json`, this package)** | **6,253** | **10,093** | **161,900** | **47,599** | **7940/10⁷** | **7941/10⁷** | **794022782431403** | **pending** | + +**Status of the 7940/10⁷ program.** Sussman's reference checker `gx.check1` (exact scalar identity) and his +`gxcore` mirror of the two Lean checks accept it, and both reject a flipped sign. It also passes the rest of the +chain: `paircheck.py`, PR #200's checker, the exact flow lift and PR #194's contract (13/13). `verify.py` +regenerates it byte for byte. **Its Lean run is pending**: the host with the Lean toolchain needs an interactive +re-authentication. The companion program with one shared pair module (7932/10⁷) went through the same pipeline and +was built in Lean (`lean/companion-7932-evidence.txt`). The per-point program uses the same generator path, with +only its module files changed. + +## Bit side + +PR #346's final word is vendored unchanged (`bit/pr346/`). It consists of: + +- its final records (`FINAL-RECORDS.bin.gz`, checked against its `RECORD-SHA256SUMS`); +- its κ receipt (the normalized five-stage histogram, the stock W = 125,712 and c); +- its LICENSE and NOTICE. + +`verify.py` decodes the records with its own reader and recounts the paid children (MOVE and COPY ranks). It then +requires PR #346's normalized histogram to equal 60·H + 12·2v·(e₃₈ + e₁₉ + e₄₂ + e₄), and certifies c from it with +both rational engines. The stock W is taken from PR #346's receipt and is not re-derived. PR #346's own bit checks +are not re-run here: the Design T verifier, PR #266's legality and five-stage column checkers, primes and bank +tiling. Since the complex side binds, κ depends on the bit word only through c > (1 − 10⁻⁹)·b, and c is 0.97 % +above that cap. + +## Verify + + python -m pip install numpy==2.3.5 scipy==1.17.0 + python3 -B research/w3-p10b-pointwise-complex/verify.py --quick # about 30 s: pins, bit side, program, kappa + python3 -B research/w3-p10b-pointwise-complex/verify.py # about 6 min: also regenerates the program + +Nothing is fetched; `-O` is refused. `--quick` covers: + +1. `MANIFEST.json`; +2. `SOURCE.json`: git blob and sha256 of every vendored file at PR #327 `40ed045`, PR #325 `c4f1b74`, PR #346 + `11b4de5` and PR #329 `c6b1a28`; +3. the bit side; +4. the committed program: canonical sha256 `ff2d7307…`, `gx.check1`, `gxcore`, the E5 controls, and the exact + price (7940/10⁷ with and without the fallback, 7941/10⁷ rejected, b by both engines); +5. κ for PR #346 (reproduced) and for this package. + +The full run also regenerates the program: + +1. it rebuilds PR #202's 308 files from the vendored PR #233 package; +2. it runs PR #327's anchors (a) and (b), then anchors (d) and (e) on `spec/uniform.json`; +3. it runs anchor (f): on the companion's frozen layer, `aligned_word_spec.py --spec` writes the same seven files as + PR #327's `aligned_word_p.py --centre46`; +4. it builds the per-point word with `aligned_word_spec.py --spec spec/c2.json` and runs the whole chain; +5. it requires the committed program byte for byte, and compares the run with `certificate/expected.json`. + +`.github/workflows/w3-p10b-pointwise-complex.yml` runs both modes on Python 3.12 and 3.14. + +## Open obligations + +- The Lean build of the 7940/10⁷ program (pending; see above). +- Everything PR #346 lists as open for its bit word: PR #310's native downstream chain is not ported to p = 10, + PR #315's scalar/prime/finite stages cannot take an edited word, and the complex guard keeps PR #315's p = 11 + additive row constants. +- PR #346 also ran PR #315's portable complex checks, ported to p = 10 (labels, scalar words, splice, precision + guard); they are not run on this program here. This package's complex checks are PR #327's chain plus + `gx.check1`/`gxcore`. +- All inherited interfaces of PR #315/#325/#346 remain assumptions. This is a conditional finite construction, + not a formal verification of the multiplication theorem. + +## Files + +| path | origin | content | +|---|---|---| +| `verify.py` | new (from PR #327's verify.py and PR #329's math_check.py) | the checks above | +| `spec_graph.py`, `aligned_word_spec.py` | new | per-invocation spec and word builder | +| `spec/c2.json`, `spec/uniform.json` | new | the program's spec, and the companion spec used for anchors | +| `modules/pointwise/` | new | the ten per-point pair modules | +| `modules/pm_p10.json`, `modules/qmod_p10.json` | PR #325 `c4f1b74` | default pair module and the all-but-one module | +| `modules/tmod_t2_p10.json` | PR #327 `40ed045` | triple module | +| `layers/c2/`, `layers/uniform/` | new | frozen layers of the program and of the companion | +| `certificates/gcert1-p10-b325-c2.json.gz` | new | the program, star form | +| `certificate/expected.json` | new | the full run's record | +| `bit/pr346/` | PR #346 `11b4de5` | bit word records, hash list, κ receipt, LICENSE, NOTICE | +| `pricing/outer.py` | PR #329 `c6b1a28` (= PR #315's) | the 47-constraint outer assembly | +| `lean/companion-7932-evidence.txt` | new | Lean console output of the companion program | +| chain, checkers, engines, `references/`, `discovery/pr327/` | PR #327 `40ed045` | vendored byte for byte | +| `discovery/` | new | how the modules and layer were found | +| `SOURCE.json`, `MANIFEST.json`, `PROOF.md`, `NOTICE` | new | provenance, pins, claim, credits | diff --git a/research/w3-p10-pointwise-native/vendor/complex-reserve/upstream/pr348/SOURCE.json b/research/w3-p10-pointwise-native/vendor/complex-reserve/upstream/pr348/SOURCE.json new file mode 100644 index 0000000000..9385d3f960 --- /dev/null +++ b/research/w3-p10-pointwise-native/vendor/complex-reserve/upstream/pr348/SOURCE.json @@ -0,0 +1,359 @@ +{ + "description": "Provenance of research/w3-p10b-pointwise-complex. Every file under \"origins\" is vendored byte for byte; verify.py checks its sha256 and git blob id against the named commit (no network). MANIFEST.json pins every package file.", + "spec": "spec/c2.json", + "origins": { + "pr327": { + "repository": "CrocSwap/integer-mult-bounds", + "pr": 327, + "commit": "40ed0456ab1990beb3440e61bb883ccf95fdcea4", + "path": "research/complex-p10", + "author": "DreamingOfClouds (Anthropic Claude assistance)", + "note": "the p = 10 complex supplier: its recipe, chain (aligned_word_p.py, centre46.py, paircheck.py, normalize_scatter.py, module_cut.py), triple module tmod_t2_p10.json, vendored PR #256 / Sussman / source527 files and layer-discovery code; 40ed045 is the PR head (a22e63a plus Rohan Arun's joint-dual re-pin)", + "files": { + "aligned_word_p.py": { + "path": "research/complex-p10/aligned_word_p.py", + "sha256": "bca04f6027c6c6696c1593767487dffa0965cbd7c9fc83493552de4569857757", + "git_blob": "98da7115194287191a46736dd9e3867b6a236b28" + }, + "centre46.py": { + "path": "research/complex-p10/centre46.py", + "sha256": 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to PR #315's and PR #346's code/pricing/outer.py", + "files": { + "pricing/outer.py": { + "path": "research/five-stage-p10b-transcript-stages/outer.py", + "sha256": "c1ebb52163a7219504c728a5c2b098bf1e50bf20148a2879c5a74c3cadc7c03c", + "git_blob": "43007488ad2c43187c77cc6798beff8b1cd76ad2" + } + } + } + }, + "anchors": { + "pr194_certificate_sha256": "27398a0cfcbe34e5ee97360e69a2d163a417c8ae1b4fdf28ccf89a9eaf4e4cd4", + "note": "PR #256's certificate of PR #194's word (canonical uncompressed sha256), as pinned by PR #327's SOURCE.json" + }, + "pr346": { + "commit": "11b4de5ff8ed5fccf55d4af1043358d257308e8e", + "complex_coarse": "396604388013523/500000000000000000", + "bit_coarse": "32069035133443/40000000000000000", + "binding": "complex", + "kappa": "396290046684973/500000000000000000", + "note": "PR #346's complex supplier (gcert1-p10-L10f, flow R 6265) has the same coarse saving as the Lean-checked 7932/10^7 program of spec/uniform.json" + }, + "lean": { + "this_program": "not built in Lean (pending: the Lean host needs an interactive re-authentication)", + "companion": "spec/uniform.json program (canonical sha256 56e1139aa4a420219d37b9af00d8894d4c21df83b3d9c266d36a787676e9ad4e, 7932/10^7): OAI.PowerSaving.WHT.wht_main_block_B2Gcu32x at 1 - 7932084/10^10, wht-power-saving-lean f010392, Compare.lean PASS" + }, + "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 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references/sussman/pr193-blocks.json (byte for byte; the certificate sha256 values are of the canonical uncompressed JSON, from its certificate/expected.json)" + }, + "pr304": { + "pr": 304, + "repository": "CrocSwap/integer-mult-bounds", + "commit": "7ac169c58c96cebdb5cd490842331dff3610af62", + "path": "research/complex-module-anneal", + "author": "DreamingOfClouds (Anthropic Claude assistance)", + "claims": { + "cmod-mw": "7635/10^7", + "cmod-parity": "7586/10^7", + "pr168-v4-mw": "7522/10^7", + "pr168-v4-parity": "7469/10^7" + }, + "vendored": "aligned_word_p.py (= its aligned_word.py with --p and --centre46), paircheck.py, normalize_scatter.py, discovery/make_layer_p.py (= its discovery/make_layer.py with --p, --centre46, pairs_mw_p.py), discovery/extend_floor.py and discovery/pr233/ (byte for byte); verify.py follows its verify.py", + "note": "the p = 11 programs whose recipe this package applies at p = 10: the re-annealed modules tmod_cmod_v2.json, pmod_cmod_dropin.json and qmod_cmod.json are the parents of three of the four p = 10 modules" + }, + "pr315": { + "pr": 315, + "repository": "CrocSwap/integer-mult-bounds", + "commit": "243899975d0fbe888d5deda399060885d609e0a1", + "path": "research/five-stage-p10-banks", + "author": "DreamingOfClouds (Anthropic Claude assistance)", + "complex_supplier": "inputs/complex/gcert1-p11-cmod-centre-mw-flow.json.gz: the centre-sharing p = 11 program, 7727/10^7 (with the 10^-16 fallback 772714351296671/10^18)", + "vendored": "references/centre46_graph.diff (its inputs/complex/centre-mw/centre46_graph.diff, byte for byte: the 10-line Graph.finish patch whose effect centre46.py reproduces)" + }, + "source527": { + "repository": "CrocSwap/integer-mult-bounds", + "commit": "b07cafe23202d22d832961a04b07d48d9b245e10", + "path": "research/five-stage-source527-banks", + "author": "eumemic (OpenAI Codex assistance), PR #210 lineage; see scripts/source527/NOTICE", + "vendored": "scripts/source527/moment.py and scripts/source527/base_two_moment.py, byte for byte: the two rational moment engines with which the five-stage packages certify a coarse saving with the 10^-16 fallback envelope" + }, + "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" + }, + "pr327": { + "repository": "CrocSwap/integer-mult-bounds", + "pr": 327, + "commit": "40ed0456ab1990beb3440e61bb883ccf95fdcea4", + "path": "research/complex-p10" + }, + "pr325": { + "repository": "CrocSwap/integer-mult-bounds", + "pr": 325, + "commit": "c4f1b74bd580fc5a18fec6f12ab498dca01b5533", + "path": "research/five-stage-p10b-banks" + }, + "pr346": { + "repository": "CrocSwap/integer-mult-bounds", + "pr": 346, + "commit": "11b4de5ff8ed5fccf55d4af1043358d257308e8e", + "path": "research/w3-p10b-complex-p10/" + } + } +} diff --git a/research/w3-p10-pointwise-native/vendor/complex-reserve/upstream/pr348/aligned_word_p.py b/research/w3-p10-pointwise-native/vendor/complex-reserve/upstream/pr348/aligned_word_p.py new file mode 100644 index 0000000000..98da711519 --- /dev/null +++ b/research/w3-p10-pointwise-native/vendor/complex-reserve/upstream/pr348/aligned_word_p.py @@ -0,0 +1,265 @@ +#!/usr/bin/env python3 +"""aligned_word_p.py: PR #194's source-aligned complex word for given query modules and a frozen physical layer, at any +cube size p. + +PR #304's aligned_word.py with three changes: (1) --p (default 11): Graph(p) and the module sizes p, p - 1, p - 2 +replace the literals 11, 10, 9; (2) --centre46: the pair module carries a 37th root (the sum of all its inputs) that +supplies the star centre (centre46.py, the effect of PR #315's Graph.finish patch); (3) when select() chooses gauges +that the script then drops (rank other than h - 4, or unpaired), the record's gauge ledger (selected_roles, +selected_rank_histogram, remaining_internal_histogram) is corrected to the kept gauges, so that PR #200's checker can +recount it; nothing is dropped at p = 11 or on the annealed p = 10 modules, so the output is then unchanged. At +p = 11 without --centre46 it is aligned_word.py. + +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_p.py [--p P] [--centre46] --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) + ap.add_argument('--p', type=int, default=11, help='cube size p (cp10 generalisation; 11 = the original script)') + ap.add_argument('--centre46', action='store_true', help='cp10: pair module with an extra full-sum root supplies the star centre (agent-cmod finish_centre46)') + 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(a.p, local=local) + if a.centre46: + sys.path.insert(0, str(Path(__file__).resolve().parent)) + from centre46 import load_pmod46, finish_centre46 + g = finish_centre46(builder, triple_module_from(a.tmod, a.p), load_pmod46(a.pmod, a.p - 1), all_but_one_from(a.qmod, a.p - 2)) + else: + g = builder.finish(triple_module_from(a.tmod, a.p), pair_module_from(a.pmod, a.p - 1), all_but_one_from(a.qmod, a.p - 2)) + 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} + chosen = word['selected'] + word['selected'] = [z for z in selected if z['role'] in kept] + # complex-p10: keep the record's gauge ledger equal to the gauges the word keeps. select() may choose gauges of + # rank other than h - 4 (or unpaired ones); the script drops them from the selection, but its record still counts + # their births, which PR #200's complex checker (verify_fused.py) recounts and rejects. Each dropped birth is + # reversed (H[r - d] -= 1, H[r] += 1 with r the rank of the role's first frame, as select() booked it). Nothing is + # dropped at p = 11 on PR #168 v4's or PR #304's modules, nor on this package's annealed modules: the record is then + # untouched (byte for byte). Only the verifiers read these three fields. + keep_roles = {z['role'] for z in word['selected']} + dropped = [z for z in chosen if z['role'] not in keep_roles] + if dropped: + first_x = {} + for aa, bb, x in ops: + first_x.setdefault(aa, x) + first_x.setdefault(bb, x) + H = list(p['remaining_internal_histogram']) + ranks = dict(p['selected_rank_histogram']) + for z in dropped: + r, d = h - len(w['annihilators'][first_x[z['role']]]), z['rank'] + H[r - d] -= 1 + H[r] += 1 + ranks[d] -= 1 + if not ranks[d]: + del ranks[d] + p['remaining_internal_histogram'], p['selected_rank_histogram'], p['selected_roles'] = H, ranks, len(word['selected']) + 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, + dropped_gauges=dict(sorted(Counter(z['rank'] for z in dropped).items())))), 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 / 'references/paired-cube/physical/frames.json', {'frames': moved}) + write(out / 'references/paired-cube/physical/pairs.json', {'pairs': pairs}) + result = physical.physical(g, w, word, p, moved, pairs) + write(out / 'certificates/paired-cube-sinks-input.json', result) + print(json.dumps(dict(stage='checked', R=p['R'], physical_R=result['physical_R'], arcs=len(arcs), moved_frames=len(moved), + pairs=len(pairs), seconds=time.monotonic() - start)), flush=True) + + +if __name__ == '__main__': + main() diff --git a/research/w3-p10-pointwise-native/vendor/complex-reserve/upstream/pr348/aligned_word_spec.py b/research/w3-p10-pointwise-native/vendor/complex-reserve/upstream/pr348/aligned_word_spec.py new file mode 100644 index 0000000000..f3cbf6789e --- /dev/null +++ b/research/w3-p10-pointwise-native/vendor/complex-reserve/upstream/pr348/aligned_word_spec.py @@ -0,0 +1,295 @@ +#!/usr/bin/env python3 +"""aligned_word_spec.py: PR #327's aligned_word_p.py with one change: the graph may be built from a per-invocation +module spec (--spec SPEC.json, resolved against --spec-root): spec_graph.finish_spec, i.e. PR #327's +centre46.finish_centre46 with the pair module of every invocation (i, bit) and the all-but-one module of every +invocation (i, j, mode) looked up in the spec's tables, followed by the same merge_outputs(f8:00111100). With --spec +the options --tmod/--pmod/--qmod are ignored (the spec names them) and --centre46 is implied. Without --spec it is +aligned_word_p.py byte for byte in behaviour (verify.py checks the --spec path against aligned_word_p.py on a spec +with one module per kind, and the source differs from aligned_word_p.py only in this docstring, the two options and +the graph-building branch). +Prepared by Chafik Boukhalfa with substantial Anthropic Claude assistance; Apache-2.0. aligned_word_p.py is +DreamingOfClouds' (PR #327, from PR #304), on PR #202's source_aligned_local_v4.py (ikeboy) and icekylinx's +source_aligned_local.py. Its docstring follows. + +aligned_word_p.py: PR #194's source-aligned complex word for given query modules and a frozen physical layer, at any +cube size p. + +PR #304's aligned_word.py with three changes: (1) --p (default 11): Graph(p) and the module sizes p, p - 1, p - 2 +replace the literals 11, 10, 9; (2) --centre46: the pair module carries a 37th root (the sum of all its inputs) that +supplies the star centre (centre46.py, the effect of PR #315's Graph.finish patch); (3) when select() chooses gauges +that the script then drops (rank other than h - 4, or unpaired), the record's gauge ledger (selected_roles, +selected_rank_histogram, remaining_internal_histogram) is corrected to the kept gauges, so that PR #200's checker can +recount it; nothing is dropped at p = 11 or on the annealed p = 10 modules, so the output is then unchanged. At +p = 11 without --centre46 it is aligned_word.py. + +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_p.py [--p P] [--centre46] --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) + ap.add_argument('--p', type=int, default=11, help='cube size p (cp10 generalisation; 11 = the original script)') + ap.add_argument('--centre46', action='store_true', help='cp10: pair module with an extra full-sum root supplies the star centre (agent-cmod finish_centre46)') + ap.add_argument('--spec', type=Path, default=None, help='per-invocation module spec (spec_graph.py); implies --centre46') + ap.add_argument('--spec-root', type=Path, default=None, help='directory the spec paths are relative to') + 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(a.p, local=local) + if a.spec is not None: + sys.path.insert(0, str(Path(__file__).resolve().parent)) + from centre46 import load_pmod46 + import spec_graph + spec = read(a.spec) + assert spec['p'] == a.p and spec.get('centre46', True), 'spec is not a centre-sharing p = %d spec' % a.p + table = spec_graph.expand(spec, a.spec_root or a.spec.parent) + loaded = {} + + def get(path, loader, n): + if path not in loaded: + loaded[path] = loader(path, n) + return loaded[path] + g = spec_graph.finish_spec(builder, triple_module_from((a.spec_root or a.spec.parent) / spec['tmod'], a.p), + lambda i, bit: get(table['p', i, bit], load_pmod46, a.p - 1), + lambda i, j, mode: get(table['q', i, j, mode], all_but_one_from, a.p - 2)) + elif a.centre46: + sys.path.insert(0, str(Path(__file__).resolve().parent)) + from centre46 import load_pmod46, finish_centre46 + g = finish_centre46(builder, triple_module_from(a.tmod, a.p), load_pmod46(a.pmod, a.p - 1), all_but_one_from(a.qmod, a.p - 2)) + else: + g = builder.finish(triple_module_from(a.tmod, a.p), pair_module_from(a.pmod, a.p - 1), all_but_one_from(a.qmod, a.p - 2)) + 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} + chosen = word['selected'] + word['selected'] = [z for z in selected if z['role'] in kept] + # complex-p10: keep the record's gauge ledger equal to the gauges the word keeps. select() may choose gauges of + # rank other than h - 4 (or unpaired ones); the script drops them from the selection, but its record still counts + # their births, which PR #200's complex checker (verify_fused.py) recounts and rejects. Each dropped birth is + # reversed (H[r - d] -= 1, H[r] += 1 with r the rank of the role's first frame, as select() booked it). Nothing is + # dropped at p = 11 on PR #168 v4's or PR #304's modules, nor on this package's annealed modules: the record is then + # untouched (byte for byte). Only the verifiers read these three fields. + keep_roles = {z['role'] for z in word['selected']} + dropped = [z for z in chosen if z['role'] not in keep_roles] + if dropped: + first_x = {} + for aa, bb, x in ops: + first_x.setdefault(aa, x) + first_x.setdefault(bb, x) + H = list(p['remaining_internal_histogram']) + ranks = dict(p['selected_rank_histogram']) + for z in dropped: + r, d = h - len(w['annihilators'][first_x[z['role']]]), z['rank'] + H[r - d] -= 1 + H[r] += 1 + ranks[d] -= 1 + if not ranks[d]: + del ranks[d] + p['remaining_internal_histogram'], p['selected_rank_histogram'], p['selected_roles'] = H, ranks, len(word['selected']) + 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, + dropped_gauges=dict(sorted(Counter(z['rank'] for z in dropped).items())))), 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 / 'references/paired-cube/physical/frames.json', {'frames': moved}) + write(out / 'references/paired-cube/physical/pairs.json', {'pairs': pairs}) + result = physical.physical(g, w, word, p, moved, pairs) + write(out / 'certificates/paired-cube-sinks-input.json', result) + print(json.dumps(dict(stage='checked', R=p['R'], physical_R=result['physical_R'], arcs=len(arcs), moved_frames=len(moved), + pairs=len(pairs), seconds=time.monotonic() - start)), flush=True) + + +if __name__ == '__main__': + main() diff --git a/research/w3-p10-pointwise-native/vendor/complex-reserve/upstream/pr348/bit/pr346/FINAL-RECORDS.bin.gz b/research/w3-p10-pointwise-native/vendor/complex-reserve/upstream/pr348/bit/pr346/FINAL-RECORDS.bin.gz new file mode 100644 index 0000000000000000000000000000000000000000..884af231daea2b9d5fdb7d44b28e3126c42c9fab GIT binary patch literal 1458785 zcmd44eSA~(-8X*i+7DpWxoC_BblL!k<;XJMJ5C935TX7UBM2?)c)TH)Wn_zsR!a%RdEg z`1Ge0$+NQ9&FOx9)8;Q9F8Yh?QO!$z9LsOfTqRw_mt>e5;*C$6tY7((FY);qn)>)vuB;4A 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