From 49d1af60148ccbda2afbfc327413d4e22ac2092a Mon Sep 17 00:00:00 2001 From: Dugongue <49054532+Dugongue@users.noreply.github.com> Date: Sun, 11 Oct 2026 20:41:55 -0700 Subject: [PATCH 1/7] Add files via upload --- .../pruned-trace-response/code/assemble.py | 193 + .../code/build_preload60.py | 48 + .../code/build_steinberg7.py | 63 + .../code/build_trace20.py | 57 + .../code/prune_observation.py | 58 + .../code/run_bit_global.py | 26 + .../code/run_native_trace27.py | 40 + .../complex-global/README.md | 11 + .../complex-global/SAT-OWNERS.json.gz | Bin 0 -> 409252 bytes .../complex-global/SAT534-PLAN.json | 11388 ++++++++++++++++ .../complex-global/SOURCES.json | 21 + .../complex-global/TWO-RESOURCE-TECHNIQUES.md | 67 + .../complex-global/replay.py | 5 + .../complex-global/run_complex44.py | 29 + .../complex-global/run_portable.py | 24 + .../complex-global/vendor531/LICENSE | 201 + .../complex-global/vendor531/NOTICE.md | 24 + .../complex-global/vendor531/SOURCES.json | 63 + .../vendor531/code/adapters_local.py | 60 + .../vendor531/code/audit_and_transport.py | 222 + .../vendor531/code/audit_local.py | 144 + .../vendor531/code/audit_supplier_hosted.py | 155 + .../vendor531/code/emit_local.py | 156 + .../vendor531/code/emit_supplier_hosted.py | 100 + .../vendor531/code/invoice_final.py | 299 + .../vendor531/code/phases_delta.py | 158 + .../vendor531/code/prepare_supplier_base.py | 95 + .../evidence/audit/PREFIX-AND-INVOICE.json | 105 + .../evidence/local/CANONICAL-WORD.json.gz | Bin 0 -> 75113 bytes .../vendor531/inputs/PR523-ANCESTRY.json | 118 + .../work/complex-nine-native/DATA-PHASES.json | 1 + .../pr361/code/engines/base_two_moment.py | 63 + .../work/pr361/code/engines/moment.py | 113 + .../work/pr361/code/engines/outer.py | 58 + .../vendor/clifford/clifford_exact.py | 149 + .../complex-global/vendor535/LICENSE | 201 + .../complex-global/vendor535/NOTICE.md | 70 + .../vendor535/code/assemble_combined.py | 178 + .../vendor535/inputs/PR510-EXPECTED.json | 102 + .../inputs/ROUND20-PARENT-TEMPLATE.json.gz | Bin 0 -> 393948 bytes 40 files changed, 14865 insertions(+) create mode 100644 research/pruned-trace-response/code/assemble.py create mode 100644 research/pruned-trace-response/code/build_preload60.py create mode 100644 research/pruned-trace-response/code/build_steinberg7.py create mode 100644 research/pruned-trace-response/code/build_trace20.py create mode 100644 research/pruned-trace-response/code/prune_observation.py create mode 100644 research/pruned-trace-response/code/run_bit_global.py create mode 100644 research/pruned-trace-response/code/run_native_trace27.py create mode 100644 research/pruned-trace-response/complex-global/README.md create mode 100644 research/pruned-trace-response/complex-global/SAT-OWNERS.json.gz create mode 100644 research/pruned-trace-response/complex-global/SAT534-PLAN.json create mode 100644 research/pruned-trace-response/complex-global/SOURCES.json create mode 100644 research/pruned-trace-response/complex-global/TWO-RESOURCE-TECHNIQUES.md create mode 100644 research/pruned-trace-response/complex-global/replay.py create mode 100644 research/pruned-trace-response/complex-global/run_complex44.py create mode 100644 research/pruned-trace-response/complex-global/run_portable.py create mode 100644 research/pruned-trace-response/complex-global/vendor531/LICENSE create mode 100644 research/pruned-trace-response/complex-global/vendor531/NOTICE.md create mode 100644 research/pruned-trace-response/complex-global/vendor531/SOURCES.json create mode 100644 research/pruned-trace-response/complex-global/vendor531/code/adapters_local.py create mode 100644 research/pruned-trace-response/complex-global/vendor531/code/audit_and_transport.py create mode 100644 research/pruned-trace-response/complex-global/vendor531/code/audit_local.py create mode 100644 research/pruned-trace-response/complex-global/vendor531/code/audit_supplier_hosted.py create mode 100644 research/pruned-trace-response/complex-global/vendor531/code/emit_local.py create mode 100644 research/pruned-trace-response/complex-global/vendor531/code/emit_supplier_hosted.py create mode 100644 research/pruned-trace-response/complex-global/vendor531/code/invoice_final.py create mode 100644 research/pruned-trace-response/complex-global/vendor531/code/phases_delta.py create mode 100644 research/pruned-trace-response/complex-global/vendor531/code/prepare_supplier_base.py create mode 100644 research/pruned-trace-response/complex-global/vendor531/evidence/audit/PREFIX-AND-INVOICE.json create mode 100644 research/pruned-trace-response/complex-global/vendor531/evidence/local/CANONICAL-WORD.json.gz create mode 100644 research/pruned-trace-response/complex-global/vendor531/inputs/PR523-ANCESTRY.json create mode 100644 research/pruned-trace-response/complex-global/vendor531/inputs/data-base/work/complex-nine-native/DATA-PHASES.json create mode 100644 research/pruned-trace-response/complex-global/vendor531/inputs/data-base/work/pr361/code/engines/base_two_moment.py create mode 100644 research/pruned-trace-response/complex-global/vendor531/inputs/data-base/work/pr361/code/engines/moment.py create mode 100644 research/pruned-trace-response/complex-global/vendor531/inputs/data-base/work/pr361/code/engines/outer.py create mode 100644 research/pruned-trace-response/complex-global/vendor531/vendor/clifford/clifford_exact.py create mode 100644 research/pruned-trace-response/complex-global/vendor535/LICENSE create mode 100644 research/pruned-trace-response/complex-global/vendor535/NOTICE.md create mode 100644 research/pruned-trace-response/complex-global/vendor535/code/assemble_combined.py create mode 100644 research/pruned-trace-response/complex-global/vendor535/inputs/PR510-EXPECTED.json create mode 100644 research/pruned-trace-response/complex-global/vendor535/inputs/ROUND20-PARENT-TEMPLATE.json.gz diff --git a/research/pruned-trace-response/code/assemble.py b/research/pruned-trace-response/code/assemble.py new file mode 100644 index 0000000000..07f8fdb9da --- /dev/null +++ b/research/pruned-trace-response/code/assemble.py @@ -0,0 +1,193 @@ +"""Fresh two-supplier exact assembly. Adapted from PR531/535 and PR539; Apache-2.0. +No approximate numerical evaluation is used for acceptance. +Usage: assemble.py PACKAGE BIT_INVOICE COMPLEX_GLOBAL OUT +""" +import hashlib +import importlib.util +import json +import sys +from fractions import Fraction as Q +from pathlib import Path + +if not __debug__: + raise SystemExit('Run with assertions enabled.') +assert __debug__, 'Run with assertions enabled.' +ROOT, B, C, O = map(Path, sys.argv[1:5]); O.mkdir(parents=True, exist_ok=True) +BIT_COMMIT = '64edee18af02aab0c1696b677a0287dd0146381b' +BIT_EXPECTED_SHA256 = '19b861f69f7602e47b390d472b487d044bff4230b250520807537c213ad0249f' + + +def sha(path): + return hashlib.sha256(path.read_bytes()).hexdigest() + + +def load(name): + path = ROOT / 'vendor/e8-bit-carrier-skeleton/code/hub/e8-r740-replica32/code/engines' / (name + '.py') + spec = importlib.util.spec_from_file_location('combined_' + name, path) + module = importlib.util.module_from_spec(spec) + spec.loader.exec_module(module) + return module + + +def decimal(value, places): + scaled = value * 10 ** places + assert scaled.denominator == 1 + digits = str(scaled.numerator).zfill(places + 1) + return digits[:-places] + '.' + digits[-places:] + + +M, Other, Outer = [load(name) for name in ['moment', 'base_two_moment', 'outer']] +owner = json.loads((C / 'audit/OWNERS-AND-PROFILE.json').read_text()) +inv = json.loads((C / 'audit/PREFIX-AND-INVOICE.json').read_text()) +host = json.loads((C / 'hosted/HOSTED.json').read_text()) +assert owner['template_sha256'] == inv['template_sha256'] == host['template_sha256'] +assert inv['owner_audit_sha256'] == sha(C / 'audit/OWNERS-AND-PROFILE.json') +assert all(inv['strict_checks'].values()) +P = {int(rank): count for rank, count in owner['paid_profile'].items()} +m, W = 73, owner['live'] +assert m * W - sum(rank * count for rank, count in P.items()) == 2560 + + +def two_moments(profile, dimension, live, lower): + """Keep the full rational sign intervals for both independent engines.""" + fallback = 32 * dimension * dimension * sum(profile.values()) + receipts = [] + for endpoint, accept in [(lower, True), (lower + Q(1, 10**24), False)]: + lo, hi = M.moment(profile, dimension, live, endpoint, True) + a, b = Other.moment(dimension, live, list(profile.items()), endpoint) + f, g = Other.moment(dimension, live, [(1, fallback)], endpoint) + a += f / 10**16 + b += g / 10**16 + assert (hi < 1 and b < 1) if accept else (lo > 1 and a > 1) + receipts.append(dict(endpoint=str(endpoint), accept=accept, + mercator=[str(lo - 1), str(hi - 1)], + base_two=[str(a - 1), str(b - 1)])) + return receipts + + +cert = M.certify(P, m, W, True) +b, bp = Q(cert['lower']), Q(cert['upper']) +assert bp - b == Q(1, 10**24) +complex_receipts = two_moments(P, m, W, b) + +# These checks bind and reprice the freshly reconstructed bit invoice. +# Native local and global physical admission are separately source-bound. +bit = json.loads(B.read_text()) +assert bit['status'] == 'PASS_NINE_STAGE_WHOLE_HOSTED_BIT_PRICE_AND_CITED_ASSEMBLY' +bitP = {int(rank): count for rank, count in bit['bit_profile'].items()} +bit_inv = bit['bit'] +bm, bW = 64, bit_inv['live'] +assert (bm, bW, bit['stages'], bit['replicas']) == (64, 30720, 9, 32) +assert sum(rank * count for rank, count in bitP.items()) == bit_inv['rank_mass'] +assert bm * bW - bit_inv['rank_mass'] == 9984 +assert max(bitP) == bit_inv['maxchild'] == 8 +assert bm * bm > 2 * 64 * max(bitP) +assert bit_inv['physical'] == bW + 9 == 30729 +assert bit_inv['hosted_residuals'] == 480 * 9 * 32 +assert bit_inv['bank_assignments'] == 0 +assert bit_inv['prefix_bits'] < 256 +assert bit_inv['prefix_bits'] < bit_inv['charged_prefix_bits'] <= 256 +assert bit_inv['two_level_coefficient_bits'] < bit_inv['charged_two_level_coefficient_bits'] == 512 +assert bit_inv['row_coefficient'] < 20161 +# PR539 exact fallback charge, applied to the freshly checked changed bit profile. +# Transfer of the source bad-class bound remains an explicit inherited premise. +from decimal import Decimal,localcontext,ROUND_FLOOR +N=2*bm;F=6*N*(N-1)+3*N+6*(N-1);delta=Q(2*bm**3,2**80);factor=delta*F*sum(bitP.values()) +assert F==98682 and delta==Q(1,2**61) +with localcontext() as ctx: + ctx.prec=90 + terms=[(Decimal(r*n)/Decimal(bm*bW),(Decimal(bm)/Decimal(r)).ln()) for r,n in bitP.items()] + fb=Decimal(factor.numerator)/Decimal(factor.denominator)/Decimal(bm*bW);lm=Decimal(bm).ln();lo=Decimal(0);hi=Decimal('.003') + for _ in range(250): + a=(lo+hi)/2 + if sum(p*(a*l).exp() for p,l in terms)+fb*(a*lm).exp()<1:lo=a + else:hi=a + c=Q(int((lo*Decimal(10**24)).to_integral_value(rounding=ROUND_FLOOR)),10**24) +bit_receipts=[] +for endpoint,accept in [(c,True),(c+Q(1,10**24),False)]: + lo,hi=M.moment(bitP,bm,bW,endpoint,False);fl,fh=M.moment({1:1},bm,bW,endpoint,False) + a,z=Other.moment(bm,bW,list(bitP.items()),endpoint);g,h=Other.moment(bm,bW,[(1,1)],endpoint) + lo+=factor*fl;hi+=factor*fh;a+=factor*g;z+=factor*h + assert (hi<1 and z<1) if accept else (lo>1 and a>1) + bit_receipts.append(dict(endpoint=str(endpoint),accept=accept,mercator=[str(lo-1),str(hi-1)],base_two=[str(a-1),str(z-1)])) +assert c>Q(bit['bit_lower']) + + +eta = beta = grid = Q(1, 10**18) +s = min(c, (1 - beta) * b) - Q(1, 10**24) +assert 0 < s < c and s < (1 - beta) * b +coeff = bit_inv['charged_two_level_coefficient_bits'] +row = max(20161, bit_inv['row_coefficient'], inv['finite']['physical_row_coefficient']) +chain, cuts = [Q(384599, 10**10)], [] + + +def ceil(value): + return -(-value.numerator // value.denominator) + + +for _ in range(6): + old = chain[-1] + a = (1 - s) * s + s * old + gap = min(s - a, 1 - a - s, 1 - a - s * (1 - old), 1 - s) + assert old < a < s < 1 - a and gap > 0 + cut = max(ceil(36 / gap**2), ceil(2 * (4 + coeff) / gap)) + assert cut * gap**2 >= 36 and cut * gap >= 2 * (4 + coeff) + cuts.append(dict(gap=str(gap), cutoff_log2=str(cut))) + chain.append(a) +q = chain[-1] * (1 - 2 * eta) +margin = (1 - eta) * q / (1 + q) +ticks = margin / grid +kap = grid * ((ticks.numerator - 1) // ticks.denominator) +bridge = {'semantic': {'C0': {'base': 2, 'exponent': 210000}, 'strict_literal_gap': 1}, + 'rows': {'degree_gap': Q(10**6) - Q(51 * row, 25)}} +assembly = Outer.assembly(chain[-1], b, bridge, kap, eta=eta, beta=beta) +assert len(assembly['strict_constraints']) == 47 +assert all(value > 0 for value in assembly['strict_constraints'].values()) +controls = [] +for name, k, e, be in [('next_grid', kap + grid, eta, beta), + ('zero_eta', kap, Q(0), beta), + ('zero_beta', kap, eta, Q(0)), + ('unit_beta', kap, eta, Q(1))]: + try: + Outer.assembly(chain[-1], b, bridge, k, eta=e, beta=be) + except AssertionError: + controls.append(name) + else: + raise AssertionError(name) + +baselines = {'PR535': Q('0.001584931111785787'), 'prior_tn23': Q('0.001587212454640692'), 'PR539': Q('0.001584931113695072'), + 'PR531': Q('0.001517760977820331'), + 'rejected_POST208_checkpoint': Q('0.001543640781718742'), + 'PR533': Q('0.001524207950793244')} +res = dict( + status='PASS_PRUNED_TRACE_RESPONSE_FRESH_BOTH_SUPPLIERS', + complex_lower=str(b), complex_decimal=decimal(b, 24), + next_b_rejected=str(bp), exact_moment_receipts=complex_receipts, + bit_lower=str(c), bit_decimal=decimal(c, 24), + bit_exact_moment_receipts=bit_receipts, + bit_result_sha256=sha(B), + complex_dependency={'pull_request':535,'commit':'8b758a103915179322766bed5798f9b6e7198011','path':'research/post-center-rank4-global'}, + bit_dependency={'pull_request':510,'commit':BIT_COMMIT,'changed_word':'prune227_trace20_steinberg7','fresh_bit_receipt_sha256':sha(B)}, + bit_prefix_bits=bit_inv['charged_prefix_bits'], + bit_charged_two_level_coefficient_bits=coeff, + external_row_allowance=row, + kappa=str(kap), kappa_decimal=decimal(kap, 18), + binding_component='bit' if c < (1 - beta) * b else 'complex', + improvements={name: {'baseline': str(value), + 'relative_gain': str(kap / value - 1), + 'percent_display': f'{float(100 * (kap / value - 1)):.8f}'} + for name, value in baselines.items()}, + strict_outer_constraints={k: str(v) for k, v in assembly['strict_constraints'].items()}, + outer_controls=controls, bootstrap=cuts, + complex_template_sha256=host['template_sha256'], + owner_audit_sha256=sha(C / 'audit/OWNERS-AND-PROFILE.json'), + invoice_sha256=sha(C / 'audit/PREFIX-AND-INVOICE.json'), + sharp_fallback={'source_PR':539,'bad_fraction':str(delta),'fallback_per_edge':F,'rank_one_mass':str(factor)}, + bit_scope='Both changed suppliers are freshly reconstructed and independently replayed locally and globally; exact fresh profiles are composed, without adding gains.', + scope='Conditional finite witness under the retained all-size compiler, ' + 'common-label/mutable-basis, whole-call hosting, restored-work, ' + 'precision/tape and analytic-transfer contracts. Fresh changed-bit admission ' + 'and finite invoices are separately hash-bound. PR539 bad-class transport is retained as a premise. No unconditional theorem is claimed.') +(O / 'EXACT-ASSEMBLY.json').write_text(json.dumps(res, indent=2) + '\n') +print(res['status'], 'b', res['complex_decimal'], 'kappa', res['kappa_decimal']) +print(json.dumps(res['improvements'], sort_keys=True)) diff --git a/research/pruned-trace-response/code/build_preload60.py b/research/pruned-trace-response/code/build_preload60.py new file mode 100644 index 0000000000..5a1b518a58 --- /dev/null +++ b/research/pruned-trace-response/code/build_preload60.py @@ -0,0 +1,48 @@ +from pathlib import Path +from fractions import Fraction as Q +from collections import Counter +import json,gzip,hashlib,copy,sys,argparse +parser=argparse.ArgumentParser();parser.add_argument('--input',type=Path,required=True);parser.add_argument('--out',type=Path,required=True);args=parser.parse_args();src,out=args.input,args.out;w=json.loads(gzip.decompress(src.read_bytes()));V=w['v'];N=2*V+w['R'];old=copy.deepcopy(w);prefix=[];moves=[];A=[];assert hashlib.sha256(json.dumps(w,sort_keys=True,separators=(',',':')).encode()).hexdigest()=='8639e22008c24a5690dd250eba702fe5fca85ddd036dcbec20baba77b7e213ba', 'pinned source word' +for i,(f,t,ss)in enumerate(w['A']): + if len(ss)==2 and all(sdim[a]:H[dim[f]-dim[a]]+=1 + cur[r]=f + def gates(sec): + for f,t,ss in z[sec]: + assert len({t,*ss})==1+len(ss) + for r in [t,*ss]:climb(r,f) + for s in ss:val[t]^=val[s] + gates('D');gates('A');tops.extend(dim[cur[q]]for q in z['ret']);snap=[val[q]for q in z['ret']] + for t,ks in enumerate(z['scatter']): + for k in ks:val[V+t]^=snap[k] + gates('B');gates('C') + for r,f in enumerate(z['final']):climb(r,f) + for r in range(N):assert val[r]==((1<dim[a]:H[dim[f]-dim[a]]+=1 + cur[r]=f + def gates(sec): + for f,t,ss in z[sec]: + assert len({t,*ss})==1+len(ss) + for r in [t,*ss]:climb(r,f) + for s in ss:val[t]^=val[s] + gates('D');gates('A');tops.extend(dim[cur[q]]for q in z['ret']);snap=[val[q]for q in z['ret']] + for t,ks in enumerate(z['scatter']): + for k in ks:val[V+t]^=snap[k] + gates('B');gates('C') + for r,f in enumerate(z['final']):climb(r,f) + for r in range(N):assert val[r]==((1<dim[a]:H[dim[f]-dim[a]]+=1 + cur[r]=f + def gates(sec): + for f,t,ss in z[sec]: + assert len({t,*ss})==1+len(ss) + for r in [t,*ss]:climb(r,f) + for s in ss:val[t]^=val[s] + gates('D');gates('A');tops.extend(dim[cur[q]]for q in z['ret']);snap=[val[q]for q in z['ret']] + for t,ks in enumerate(z['scatter']): + for k in ks:val[V+t]^=snap[k] + gates('B');gates('C') + for r,f in enumerate(z['final']):climb(r,f) + for r in range(N):assert val[r]==((1<dim[a]:H[dim[f]-dim[a]]+=1 + cur[r]=f + def gates(sec): + for f,t,ss in z[sec]: + assert len({t,*ss})==1+len(ss) + for r in [t,*ss]:climb(r,f) + for s in ss:val[t]^=val[s] + gates('D');gates('A');tops.extend(dim[cur[q]]for q in z['ret']);snap=[val[q]for q in z['ret']] + for t,ks in enumerate(z['scatter']): + for k in ks:val[V+t]^=snap[k] + gates('B');gates('C') + for r,f in enumerate(z['final']):climb(r,f) + 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z+^X~Gij&MfWTJ_MWCT(zGQ#~caRFTgGRBP;38DO~rr$%?3oXrOY?+EPzU~T@3-)*3 z77ClmV&!NM#PmL1kdNpd8#Fal S - {e} + {f}, where e is selected and f is unselected in E_c, preserves the call quota. It is a two-edge exchange path. Adding an auxiliary complement assignment makes it a standard four-edge bipartite switch: selected and unselected degrees are preserved in the extended fiber. Any finite sequence of these exchanges is safe, irrespective of intermediate changes in the remainder histogram. Acceptance is based on the full paid moment, not a local entropy heuristic. + +Source read: OAI/Probability/SwitchChain/SwitchInFiber.lean, in particular sameFiber_of_same_side and switchStep_sameFiber. The source proves a degree-constrained graph switch stays in a resampling fiber; it does not itself prove this multiplication admission theorem. The physical proof above supplies that missing specialization. + +## 2. Concave remainder costs as an explicit cut network + +Let a be fixed with 0 z of capacity lambda, and add z -> sink of capacity lambda*k. With selected event vertices on the source side, minimizing over the auxiliary vertex z gives precisely lambda*min(x,k). The linear term uses event-to-sink arcs. This represents the whole remainder objective as a cut potential, with no unknown optimization oracle. + +Source read: OAI/Computability/MatchingCount/CutAlgebra.lean, cut_submodular and cut_push. Its pointwise cut submodularity and exact contraction/lift identity justify graph-level aggregation. Here the discrete-concavity identity supplies the explicit gadget representation. Exact quotas |S intersect E_c|=4 remain additional constraints; unconstrained minimum cut does NOT solve that constrained problem automatically. Our bounded native search uses the potential to accept legal exchanges, and the literal endpoint witness is independently checked. There is no global optimality claim. + +## 3. Constructive lift from pattern counts to literal owners + +A bin group consists of 112 physical ports sharing one owner replica, pending child, rank and legal time set. For each pattern p, choose n_p ports and a list of helper widths w_1,...,w_d with sum at most the pending rank. Let x_(p,t,w) be nonnegative integers. Require: + +- sum_t x_(p,t,w) equals n_p times the multiplicity of w in p; +- sum_w x_(p,t,w) is at most n_p for each pattern and time; +- across all groups and patterns, each call t receives its exact provider width inventory; +- only times in the actual group's legal idle interval occur. + +These conditions construct a complete-owner assignment. Split each width's incidences among its distinct positions in the pattern, each position having degree n_p. Form the bipartite multigraph whose left vertices are times and right vertices are pattern positions. Its maximum degree is n_p; add dummy vertices and edges until it is n_p-regular. For every subset S of left vertices, n_p|S| edges enter at most n_p|N(S)| slots, so Hall's condition holds. Remove a perfect matching and repeat. The n_p matchings are literal ports. Every port receives one incidence for each pattern position, never two incidences at the same time. Deleting dummy edges therefore yields the exact desired complete-owner slots. Assign each call's actual helpers bijectively to its matching-width slots. Offsets are contiguous partial sums of the pattern widths. + +This is an explicit sufficient lifting theorem, not an assertion that aggregate counts alone imply physical feasibility. The integer time rows, matching decomposition and final independently reconstructed physical chart are all checked. It also explains the exchange-fiber structure: different matching decompositions preserve the same exact time and pattern margins. The earlier cut potential supplies remainder costs before this constructive lift; the final broader integer pattern search additionally permits changes to pattern counts. No theorem about globally optimal constrained cuts is claimed. + +## Frozen concrete result + +The final provider combines the static44 response selection, PR534 frame lift and one cold-dirt quotient simplification. The final local histogram is + + {1:2284,2:456,3:488,4:168,5:56,6:56,8:8}. + +Its 504 helpers have widths 56x5,156x8,292x9. A bounded finite pattern/time search selected these counts across all owner replicas: + + rank8: 5376*[8] + rank16: 2928*[8,8],448*[5,9],208*[9] + rank32: 3584*[5,9,9,9] + rank48: 1923*[9,9,9,9,9],1*[9],1660*[] + +The literal matching lift produces 36,288 helper roles across 72 complete calls and 16,128 pending bins. All actual 2,972 full 73-column charts, per-replica event orders, whole-owner uniqueness, spectator axes and residual endpoints pass the independent physical audit; seven genuine corruptions reject. The resulting paid global histogram is + + {1:164448,2:33280,3:37059,4:12096, + 5:4032,6:4032,7:208,8:576,39:1,48:1660}. + +The exact deficit is 2,560 at m=73, live stock 7,168 and physical stock 7,682. The fresh scalar invoice charges prefix512 for measured225, and row20161 for measured16467. The certified complex saving is + + b = 796759709641153381751 / 500000000000000000000000 + = 0.001593519419282306763502. + +This is a complex supplier saving, not final kappa. The outer assembly must combine it with the independently admitted bit supplier through all strict constraints. All-size compiler, precision/tape and analytic-transfer hypotheses remain the retained interfaces. + +The earlier fixed-slot C++ exchange search gave b=0.001590643179579185038482 with the static44 provider and is preserved as a passed intermediate. The final broader pattern search stopped at its finite time limit with a feasible integer witness; no global optimum is asserted. Replaying the final witness needs Python's standard library only, not SciPy, HiGHS, or the optimizer. Both OpenAI sources were read and adapted; neither was newly Lean-compiled. These sources informed the two resource constructions, rather than establishing a claim of two independently additive numerical gains. diff --git a/research/pruned-trace-response/complex-global/replay.py b/research/pruned-trace-response/complex-global/replay.py new file mode 100644 index 0000000000..081cce98e0 --- /dev/null +++ b/research/pruned-trace-response/complex-global/replay.py @@ -0,0 +1,5 @@ +"""Complete changed-complex controller replay; stdlib only. Local provider is rebuilt separately.""" +from pathlib import Path +import argparse,subprocess,sys +p=argparse.ArgumentParser();p.add_argument('--local',type=Path,required=True);p.add_argument('--out',type=Path,required=True);a=p.parse_args();b=Path(__file__).resolve().parent +subprocess.run([sys.executable,'-B',str(b/'run_complex44.py'),str(b/'vendor531'),str(b/'vendor535'),str(a.local.resolve()),str(b/'SAT-OWNERS.json.gz'),str(b/'SAT534-PLAN.json'),str(b/'run_portable.py'),str(a.out.resolve())],check=True) diff --git a/research/pruned-trace-response/complex-global/run_complex44.py b/research/pruned-trace-response/complex-global/run_complex44.py new file mode 100644 index 0000000000..325eca7d4f --- /dev/null +++ b/research/pruned-trace-response/complex-global/run_complex44.py @@ -0,0 +1,29 @@ +"""Fresh changed static44 complete-owner emission, controller audit and finite invoice.""" +from pathlib import Path +import sys,json,gzip,shutil,subprocess,time,os +assert len(sys.argv)==8,'run_complex44.py V531 P535 LOCAL OWNERS PLAN PORTABLE_LAUNCHER OUT' +v,p,local,owners,plan,launcher,out=map(lambda x:Path(x).resolve(),sys.argv[1:]);assert not out.exists();out.mkdir(parents=True) +controller=out/'controller-input';shutil.copytree(v/'inputs/data-base',controller);(controller/'split-centres').mkdir(exist_ok=True) +shutil.copyfile(p/'inputs/ROUND20-PARENT-TEMPLATE.json.gz',controller/'split-centres/GLOBAL-TEMPLATE.json.gz') +shutil.copyfile(v/'evidence/local/CANONICAL-WORD.json.gz',controller/'split-centres/CANONICAL-WORD.json.gz') +# Text inputs are canonically copied, independent of Git checkout newlines. +for f in controller.rglob('*'): + if f.is_file() and f.suffix in ('.json','.py','.md','.txt'): + f.write_bytes(f.read_bytes().replace(b'\r\n',b'\n')) +plan_copy=out/'PLAN.json';plan_copy.write_bytes(plan.read_bytes().replace(b'\r\n',b'\n'));plan=plan_copy +bit_fixture=out/'PR510-EXPECTED.json';bit_fixture.write_bytes((p/'inputs/PR510-EXPECTED.json').read_bytes().replace(b'\r\n',b'\n')) +stages=[] +def run(name,script,*args): + t=time.monotonic();log=out/(name+'.log');print('RUN',name,flush=True) + with log.open('w',encoding='utf-8',newline='\n')as f:z=subprocess.run([sys.executable,'-B',str(launcher),str(script),*map(str,args)],stdout=f,stderr=subprocess.STDOUT,env=dict(os.environ,PYTHONUTF8='1',PYTHONDONTWRITEBYTECODE='1')) + stages.append(dict(name=name,seconds=time.monotonic()-t,exit=z.returncode));(out/'STAGES.json').write_text(json.dumps(stages,indent=2)+'\n',encoding='utf-8',newline='\n') + if z.returncode:print(log.read_text(encoding='utf-8'),flush=True);raise SystemExit(name+' failed') + print('PASS',name,round(stages[-1]['seconds'],2),flush=True) +run('01-bind',v/'code/prepare_supplier_base.py','--data-base',controller,'--local',local,'--out',out/'base') +run('02-emit',v/'code/emit_supplier_hosted.py','--base',out/'base','--owners',owners,'--plan',plan,'--out',out/'hosted') +audit=out/'audit';audit.mkdir() +run('03-physical',v/'code/audit_supplier_hosted.py',out/'base',out/'hosted',audit/'ASYNC-AUDIT.json','--mutation-controls') +run('04-invoice',v/'code/invoice_final.py','--base',out/'base','--hosted',out/'hosted','--audit',audit,'--out',audit,'--retained-invoice',v/'evidence/audit/PREFIX-AND-INVOICE.json') +run('05-moments',p/'code/assemble_combined.py',audit,out/'base',out/'hosted',bit_fixture) +z=json.loads((audit/'EXACT-ASSEMBLY.json').read_text());r=dict(status='PASS_CHANGED_COMPLEX_SUPPLIER_AND_LITERAL_WHOLE_OWNER_PACKING',complex_lower=z['complex_lower'],complex_template_sha256=z['complex_template_sha256'],stages=stages,scope='Actual changed local supplier and whole-owner controller admitted with fresh phase/frame/chart/finite invoice under retained all-size interfaces. Bit cited by this assembly is a regression; root separately assembles the new changed bit supplier.') +(out/'RESULT.json').write_text(json.dumps(r,indent=2)+'\n',encoding='utf-8',newline='\n');print(json.dumps(r,indent=2),flush=True) diff --git a/research/pruned-trace-response/complex-global/run_portable.py b/research/pruned-trace-response/complex-global/run_portable.py new file mode 100644 index 0000000000..2fed13f432 --- /dev/null +++ b/research/pruned-trace-response/complex-global/run_portable.py @@ -0,0 +1,24 @@ +"""Run one retained verifier with UTF-8/LF text outputs on every platform. +This changes output serialization only; no mathematical operation is replaced. +""" +from pathlib import Path +import runpy,sys,gzip +if not __debug__: + raise RuntimeError('Assertions must remain enabled') +original_write_text=Path.write_text +def write_text_lf(self,data,encoding=None,errors=None,newline=None): + return original_write_text(self,data,encoding=encoding or 'utf-8',errors=errors,newline='\n') +Path.write_text=write_text_lf +# Pin generated gzip serialization. Python3.11 may expose zlib's platform OS +# byte, Python3.13 normalizes it, and Python3.15 changes the default level. +# Immutable input files are never rewritten by this wrapper. +original_gzip_compress=gzip.compress +def compress_portable(data,compresslevel=9,*,mtime=0): + raw=original_gzip_compress(data,compresslevel=compresslevel,mtime=mtime) + assert raw[:3]==b'\x1f\x8b\x08' and len(raw)>=18 + return raw[:9]+b'\xff'+raw[10:] +gzip.compress=compress_portable +script=Path(sys.argv[1]).resolve() +sys.argv=sys.argv[1:] +sys.path.insert(0,str(script.parent)) +runpy.run_path(str(script),run_name='__main__') diff --git a/research/pruned-trace-response/complex-global/vendor531/LICENSE b/research/pruned-trace-response/complex-global/vendor531/LICENSE new file mode 100644 index 0000000000..261eeb9e9f --- /dev/null +++ b/research/pruned-trace-response/complex-global/vendor531/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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We also recommend that a + file or class name and description of purpose be included on the + same "printed page" as the copyright notice for easier + identification within third-party archives. + + Copyright [yyyy] [name of copyright owner] + + Licensed under the Apache License, Version 2.0 (the "License"); + you may not use this file except in compliance with the License. + You may obtain a copy of the License at + + http://www.apache.org/licenses/LICENSE-2.0 + + Unless required by applicable law or agreed to in writing, software + distributed under the License is distributed on an "AS IS" BASIS, + WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + See the License for the specific language governing permissions and + limitations under the License. diff --git a/research/pruned-trace-response/complex-global/vendor531/NOTICE.md b/research/pruned-trace-response/complex-global/vendor531/NOTICE.md new file mode 100644 index 0000000000..f3833c1cb2 --- /dev/null +++ b/research/pruned-trace-response/complex-global/vendor531/NOTICE.md @@ -0,0 +1,24 @@ +# Attribution and derivative scope + +Prepared for icekylinx with OpenAI GPT-6 Astra assistance; Apache-2.0. +Copyright 2026 icekylinx. Local review and submission packaging used OpenAI Codex. +The new work is the same-partition 504-helper scalar architecture, its frozen +entrance selection, delivery-frame coalescing, literal global allocation, +targeted certificate reuse and complete new finite recount. + +The included Hamming inputs, Gaussian-dyadic Clifford compiler, primitive +scalar routines, rational moment engines and outer assembly descend from the +authors recorded in `SOURCES.json` and `inputs/PR523-ANCESTRY.json`. Original +source notices are retained. In particular, DreamingOfClouds' gauge/kernel +and paid-wrapper files retain their notice crediting Claude Opus 5.5 assistance; +those files are not presented as newly authored work. + +contributor (handle omitted)'s PR522 rank-sector coordinate-total principle was inspected and is +credited as a related idea. This increment does not import its ranksector99 +patch or add its reported gain arithmetically. Higherbeing's PR520 face-packet +geometry helped direct the structural investigation; its code is not copied. +The latest numerical comparison, Rohan Arun's PR527, is a comparison source. + +The reproduction wrapper deliberately separates fresh changed-word/global +checks from reuse of the byte-pinned completed baseline and unchanged bit +operator. Old finite receipts never stand in for the changed local word. diff --git a/research/pruned-trace-response/complex-global/vendor531/SOURCES.json b/research/pruned-trace-response/complex-global/vendor531/SOURCES.json new file mode 100644 index 0000000000..6991a2a9c6 --- /dev/null +++ b/research/pruned-trace-response/complex-global/vendor531/SOURCES.json @@ -0,0 +1,63 @@ +{ + "repository": "https://github.com/CrocSwap/integer-mult-bounds", + "prepared_for": "icekylinx", + "assistance": "OpenAI GPT-6 Astra", + "license": "Apache-2.0", + "baseline": { + "pr": 523, + "author": "icekylinx", + "head": "a900f98be8ff2c09d3292b5112d4731dbd0c8438", + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/523", + "role": "112 ordered ports, fixed data controller, completed phase cache and finite baseline allowances." + }, + "retained": [ + { + "pr": 514, + "author": "contributor (handle omitted)", + "head": "246bfacd4cb4072836ae3147099f548bb728229f", + "role": "Pinned Hamming modules and scalar constructor ancestry; derived from PR507 and PR425/433." + }, + { + "pr": 493, + "author": "eumemic", + "head": "c3a9a436b84fe44fdc223a5784d84736d1c2d3c7", + "role": "Unchanged bit supplier; published histogram repriced, operator not reconstructed." + }, + { + "pr": 484, + "author": "DreamingOfClouds", + "head": "035845ce95f31d0a2dcfb42b8c8e13411271fa5f", + "role": "Attributed shared-donor kernel, entrance-gauge, paid-wrapper and hosting lineage; original Claude Opus assistance notices retained." + } + ], + "related_ideas": [ + { + "pr": 522, + "author": "contributor (handle omitted)", + "head": "e9f8075b5212e9bddf361097dbb022dcd052e0bb", + "role": "Rank-sector coordinate-total principle inspected and credited. Its ranksector99 patch is not imported; this word completes eight independent retired carriers before the center cut." + }, + { + "pr": 520, + "author": "higherbeing", + "head": "6077fa76950facbce11ec2f04dfbc93493114a44", + "role": "Face-packet delivery geometry and open allocation framing informed the bottleneck investigation; no PR520 implementation is copied." + } + ], + "comparison": { + "pr": 527, + "author": "rohanarun", + "head": "2080903b9e6bd01e3f64cc4c7c62ea1b3af0aa6a", + "kappa": "0.001467289440740487", + "role": "Latest comparable numerical PR in the recorded snapshot; comparison only." + }, + "new_contribution": "Same-partition direct output loading and two-half face delivery with 504 helpers; 72 compatible gauges and 80 exact kernel pivots; body frame coalescing; literal pure-pattern whole-owner allocation; fresh finite global invoice and exact kappa.", + "ancestry_file": "inputs/PR523-ANCESTRY.json", + "comparison_at_submission": { + "pr": 529, + "author": "chafreaky", + "head": "05fc7e332651a41860add3c217cd6f6e88758003", + "kappa": "0.001469603966017302", + "role": "Comparison only; no code or proof imported." + } +} diff --git a/research/pruned-trace-response/complex-global/vendor531/code/adapters_local.py b/research/pruned-trace-response/complex-global/vendor531/code/adapters_local.py new file mode 100644 index 0000000000..787416e4dd --- /dev/null +++ b/research/pruned-trace-response/complex-global/vendor531/code/adapters_local.py @@ -0,0 +1,60 @@ +"""Paid residual wrappers for entering helpers (Lemma A): generation and independent decoding. Apache-2.0. +Prepared by DreamingOfClouds with Claude Opus 5.5 (Anthropic), via Claude Code. The wrapper construction follows PR #458 +(chafreaky): a helper that starts at frame E and ends at FULL has the physical residual S_E = T_FULL T_E^-1 (apply T_E^-1 first); +S_E = L_E (C_[w] x I) R_E with R_E applied first; the wrappers R_E^-1 before the whole local invocation and L_E^-1 after its +full-frame cleanup turn the residual into the coordinate factor C_[w] x I and restore the other 9 - w coordinates identically. +usage: adapters_gk.py CANONICAL-WORD.json.gz RESIDUAL-ADAPTERS.json OUT-LEMMA-A.json +Writes the recipes (generation uses clifford_exact.lower_child) and then DECODES the serialized monomials with the primitive +constructors of clifford_exact (not lower_child) and checks, for every entrance frame, that L_E^-1 S_E R_E^-1 has exactly the +tableau and zero-state vector (global phase included) of fourier(9, range(w)); mutated recipes (wrong phase, swapped sides, wrong +translation, wrong width) must be rejected.""" +import copy, gzip, json, sys +from pathlib import Path +# Package-path adaptation only; the exact wrapper mathematics is unchanged. +R = Path(__file__).resolve().parents[1] +sys.path.insert(0, str(R / 'vendor/clifford')) +from clifford_exact import canonical_frame, lower_child, fourier, diag, perm, xgate, Op, identity +n = 9; FULL = tuple(1 << i for i in range(n)) +def monomial_op(rec): + """decode a serialized monomial (matrix rows, quadratic rows, Z4 linear part, translation, phase)""" + out = diag(n, tuple(rec['quadratic_rows']), tuple(rec['linear_Z4'])).then(perm(n, tuple(rec['matrix_rows']))).then(xgate(n, rec['offset'])) + return out.then(Op(n, identity(n), [('phase', rec['phase'])])) +def S_of(U): + return canonical_frame(n, tuple(U)).adjoint().then(canonical_frame(n, FULL)) +def wrapped_ok(U, rec): + """exactly: L^-1 S R^-1 = C_[w] x I (apply order: R^-1, S, L^-1)""" + w = n - len(U); S = S_of(U); Rm = monomial_op(rec['right']); Lm = monomial_op(rec['left']) + net = Rm.adjoint().then(S).then(Lm.adjoint()); target = fourier(n, range(w)) + return rec['rank'] == w and net.tab == target.tab and net.zero_state() == target.zero_state() +def main(): + c = json.load(gzip.open(sys.argv[1])); frames = c['frames']; v = c['v'] + starts = sorted({c['start'][r] for r in range(2 * v, len(c['start'])) if c['start'][r] != 0}) + recipes = {} + for f in starts: + U = frames[f]; rec, compiled = lower_child(S_of(U)) + recipes[str(f)] = dict(frame=f, vectors=list(U), entrance_rank=len(U), rank=rec['rank'], left=rec['left'], right=rec['right']) + Path(sys.argv[2]).write_text(json.dumps(dict(status='RESIDUAL_ADAPTER_RECIPES', recipes=recipes), sort_keys=True, separators=(',', ':')) + '\n') + # ---- independent decode of the serialized file + data = json.loads(Path(sys.argv[2]).read_text())['recipes'] + dot = lambda a, b: bin(a & b).count('1') & 1 + detail = [] + for f in starts: + rec = data[str(f)]; U = frames[f] + assert wrapped_ok(U, rec), ('wrapper product is not C_[w] x I', f) + detail.append(dict(frame=f, entrance_rank=len(U), residual_width=n - len(U), vectors=list(U), all_even_weight=all(bin(x).count('1') % 2 == 0 for x in U), + totally_isotropic=all(dot(a, b) == 0 for a in U for b in U))) + controls = [] + def reject(name, fn): + f = starts[0]; rec = copy.deepcopy(data[str(f)]); fn(rec) + if wrapped_ok(frames[f], rec): raise AssertionError('mutated wrapper accepted: ' + name) + controls.append(name) + reject('wrong global phase', lambda r: r['right'].__setitem__('phase', (r['right']['phase'] + 1) % 4)) + reject('wrong translation', lambda r: r['left'].__setitem__('offset', r['left']['offset'] ^ 1)) + reject('wrong quadratic form', lambda r: r['right'].__setitem__('quadratic_rows', [x ^ 2 if i == 0 else x for i, x in enumerate(r['right']['quadratic_rows'])]) if False else r['right']['linear_Z4'].__setitem__(0, (r['right']['linear_Z4'][0] + 2) % 4)) + reject('sides swapped', lambda r: (r.__setitem__('left', r['right']), r.__setitem__('right', r['left']))) + reject('wrong width', lambda r: r.__setitem__('rank', r['rank'] + 1)) + res = dict(status='PASS_RESIDUAL_WRAPPERS_ARE_EXACT', frames=len(detail), wrappers_reject=controls, all_even_weight=all(d['all_even_weight'] for d in detail), + all_totally_isotropic=all(d['totally_isotropic'] for d in detail), detail=detail) + Path(sys.argv[3]).write_text(json.dumps(res, indent=1) + '\n') + print('Lemma A (exact): L^-1 S_E R^-1 = C_[w] x I for', len(detail), 'entrance frames, global phase included;', len(controls), 'wrapper mutations rejected; all-even-weight:', res['all_even_weight']) +if __name__ == '__main__': main() diff --git a/research/pruned-trace-response/complex-global/vendor531/code/audit_and_transport.py b/research/pruned-trace-response/complex-global/vendor531/code/audit_and_transport.py new file mode 100644 index 0000000000..95ae517f2e --- /dev/null +++ b/research/pruned-trace-response/complex-global/vendor531/code/audit_and_transport.py @@ -0,0 +1,222 @@ +"""Rebuild arbitrary-dirt compensation and transport a changed local word. + +Prepared for icekylinx with GPT-6 Astra assistance. Apache-2.0. +Adapted from PR425/433 (icekylinx), PR484's audit_gk.py +(DreamingOfClouds), and Round19's 112-port transport. This auditor does not +import a constructor, a nominated compensation table, or a global price. +Only the changed scalar word and its actual frame chains are checked here. +""" +import argparse +import copy +import gzip +import hashlib +import json +import time +from collections import Counter +from fractions import Fraction as Q +from pathlib import Path + + +def read(path): + data = path.read_bytes() + return json.loads(gzip.decompress(data) if path.suffix == '.gz' else data) + + +def content_hash(path): + data = path.read_bytes() + return hashlib.sha256(gzip.decompress(data) if path.suffix == '.gz' else data).hexdigest() + + +def basis(vs): + pivots = {} + for x in vs: + for k in sorted(pivots, reverse=True): + if x >> k & 1: + x ^= pivots[k] + if x: + k = x.bit_length() - 1 + for j in pivots: + if pivots[j] >> k & 1: + pivots[j] ^= x + pivots[k] = x + return tuple(pivots[k] for k in sorted(pivots, reverse=True)) + + +def apply(e, rows): + if e[0] == 'scale': + _, target, a, b, *_ = e + q = Q(a, b) + assert q + rows[target] = {j: q*x for j, x in rows[target].items()} + else: + _, target, source, a, b, *_ = e + assert target != source + q = Q(a, b) + for j, x in list(rows[source].items()): + value = rows[target].get(j, Q(0)) + q*x + if value: + rows[target][j] = value + else: + rows[target].pop(j, None) + + +def inverse(e): + e = copy.deepcopy(e) + if e[0] == 'add': + e[3] *= -1 + else: + e[2], e[3] = e[3], e[2] + return e + + +def dual(e): + e = inverse(e) + if e[0] == 'add': + e[1], e[2] = e[2], e[1] + return e + + +def run(raw_path, routing_path, out): + start_time = time.monotonic() + word, routing = read(raw_path), read(routing_path) + v, h, helpers = word['report']['v'], word['report']['h'], word['report']['R'] + assert h == 9 and v == 112 and routing['v'] == v + n = 2*v + helpers + ident = lambda: [{r: Q(1)} for r in range(n)] + main = word['A'] + word['cut'] + word['B'] + assert all(not v <= e[2] < 2*v for e in word['A'] + word['B'] + if e[0] == 'add' and not v <= e[1] < 2*v) + matrix = ident() + for e in main: + apply(e, matrix) + dirty = [{} for _ in range(n)] + for r in range(v, 2*v): + dirty[r] = {j: x for j, x in matrix[r].items() if j >= 2*v} + for e in word['precondition']: + apply(e, dirty) + compensation = [['add', r, j, -q.numerator, q.denominator, []] + for r in range(v, 2*v) for j, q in sorted(dirty[r].items())] + entering = set(map(int, word.get('start_extra', {}))) + assert all(e[2] not in entering for e in compensation) + cleanup = [inverse(e) for e in reversed(word['A'] + word['B']) + if not v <= e[1] < 2*v] + assert [e[:-1] for e in cleanup] == [e[:-1] for e in word['cleanup']] + program = word['precondition'] + compensation + main + cleanup + for backward in (False, True): + actual = ident() + for e in program: + apply(dual(e) if backward else e, actual) + expected = ident() + for t in range(v): + expected[t if backward else v+t][v+t if backward else t] = Q(-1 if backward else 1) + assert actual == expected, ('arbitrary-dirt endpoint', backward) + # The native scalar compiler allows dyadic additions and signed binary scales. + for e in program: + q = Q(e[3], e[4]) if e[0] == 'add' else Q(e[2], e[3]) + assert q.denominator & (q.denominator-1) == 0 + if e[0] == 'scale': + a = abs(q.numerator) + assert a and a & (a-1) == 0 + + tau = lambda x: x ^ (43 if (x & 43).bit_count() % 2 else 0) + ports = routing['ports'] + assert len(set(ports)) == v and set(map(tau, word['ports'])) == set(ports) + mapping = {i: ports.index(tau(p)) for i, p in enumerate(word['ports'])} + mapping.update({v+i: v+mapping[i] for i in range(v)}) + mapping.update({r: r for r in range(2*v, n)}) + full = tuple(1 << i for i in range(h-1, -1, -1)) + frames, frame_ids = [(), full], {(): 0, full: 1} + + def fid(vectors): + frame = basis(vectors) + if frame not in frame_ids: + frame_ids[frame] = len(frames) + frames.append(frame) + return frame_ids[frame] + + def transform(e): + e = copy.deepcopy(e) + e[1] = mapping[e[1]] + if e[0] == 'add': + e[2] = mapping[e[2]] + if e[-1] is not None: + e[-1] = fid([tau(x) for x in e[-1]]) + return e + + canonical = {key: [transform(e) for e in word[key]] + for key in ('A', 'B', 'cut', 'cleanup', 'precondition')} + canonical['compensation'] = [transform(e) for e in compensation] + canonical['start'] = [fid([p]) for p in ports] + [0]*(v+helpers) + for r, frame in word.get('start_extra', {}).items(): + assert 2*v <= int(r) < n + canonical['start'][int(r)] = fid([tau(x) for x in frame]) + canonical['final'] = ([1]*v + + [fid(x for x in range(1, 1 << h) if (x & p).bit_count() % 2 == 0) for p in ports] + + [1]*helpers) + canonical.update(h=h, v=v, R=helpers, ports=ports, frames=frames, + centers=[mapping[r] for r in word['centers']], + center_frames=[fid(tau(x) for x in frame) for frame in word['center_frames']]) + levels = {mapping[v+int(t)]-v: fid(tau(x) for x in frame) + for t, frame in word.get('target_levels', {}).items()} + canonical['target_levels'] = {str(t): f for t, f in levels.items()} + current, paid, edges = canonical['start'].copy(), Counter(), set() + + def climb(r, f): + old = current[r] + assert basis(frames[old] + frames[f]) == frames[f], ('nonmonotone', r, old, f) + if old != f: + degree = len(frames[f]) - len(frames[old]) + assert degree > 0 + paid[degree] += 1 + edges.add((old, f)) + current[r] = f + + for part in ('A', 'B'): + if part == 'B': + assert all(current[r] == f for r, f in zip(canonical['centers'], canonical['center_frames'])) + assert all(current[v+t] == levels.get(t, 0) for t in range(v)) + for r, frame in zip(canonical['centers'], canonical['center_frames']): + served = {levels.get(e[1]-v, 0) for e in canonical['cut'] if e[2] == r} + old = frame + for f in sorted(served, key=lambda f: -len(frames[f])): + assert basis(frames[old] + frames[f]) == frames[old] + if old != f: + paid[len(frames[old])-len(frames[f])] += 1 + edges.add((old, f)) + edges.add((f, old)) + old = f + for e in canonical[part]: + for r in [e[1]] + ([e[2]] if e[0] == 'add' else []): + climb(r, e[-1]) + for r, f in enumerate(canonical['final']): + climb(r, f) + assert dict(paid) == {int(r): count for r, count in word['report']['local_profile'].items()} + canonical['local_profile'] = dict(sorted(paid.items())) + canonical['edges'] = sorted(edges) + out.mkdir(parents=True, exist_ok=False) + payload = json.dumps(canonical, sort_keys=True, separators=(',', ':')).encode() + (out/'CANONICAL-WORD.json.gz').write_bytes(gzip.compress(payload, mtime=0)) + (out/'FULL-WORD.json.gz').write_bytes(gzip.compress(json.dumps(word, sort_keys=True, separators=(',', ':')).encode(), mtime=0)) + receipt = dict(status='PASS_CHANGED_WORD_ALL_COLUMNS_AND_NATIVE_FRAMES', + input_content_sha256=content_hash(raw_path), routing_content_sha256=content_hash(routing_path), + canonical_content_sha256=hashlib.sha256(payload).hexdigest(), + live_columns_each_orientation=n, helpers=helpers, + compensation_additions=len(compensation), scalar_operations=len(program), + center_rank_sum=sum(map(len, word['center_frames'])), + local_profile=dict(sorted(paid.items())), local_rank_mass=sum(r*z for r, z in paid.items()), + widths=[h-len(frames[f]) for f in canonical['start'][2*v:]], + frames=len(frames), directed_edges=len(edges), + tau=43, target_port_order_matches_baseline=True, + seconds=time.monotonic()-start_time, + scope='Fresh exact forward and inverse-transpose scalar replay on every arbitrary input; all native frame chains and dyadic primitives. Phase lowering, wrappers, global owners and global assembly are separate.') + (out/'SCALAR-FRAME-AUDIT.json').write_text(json.dumps(receipt, indent=2)+'\n') + print(json.dumps({k: value for k, value in receipt.items() if k != 'widths'}, indent=2), flush=True) + + +if __name__ == '__main__': + parser = argparse.ArgumentParser(description=__doc__) + parser.add_argument('--raw', type=Path, required=True) + parser.add_argument('--routing', type=Path, required=True) + parser.add_argument('--out', type=Path, required=True) + args = parser.parse_args() + run(args.raw, args.routing, args.out) diff --git a/research/pruned-trace-response/complex-global/vendor531/code/audit_local.py b/research/pruned-trace-response/complex-global/vendor531/code/audit_local.py new file mode 100644 index 0000000000..a09611844a --- /dev/null +++ b/research/pruned-trace-response/complex-global/vendor531/code/audit_local.py @@ -0,0 +1,144 @@ +# Local-only extraction of the attributed PR514 / PR433 independent replay. +# Prepared for icekylinx with OpenAI Codex assistance. Apache-2.0. +# The complete local checker and its negative controls are retained verbatim. +# Global hosting is verified separately for the changed 112-port geometry. +import copy,gzip,hashlib,json,sys +from collections import Counter +from fractions import Fraction as Q +from pathlib import Path +OUT=Path(sys.argv[1]) +c=json.load(gzip.open(OUT/'CANONICAL-WORD.json.gz')) +ir={'local_programs':json.load(gzip.open(OUT/'LOCAL-PROGRAMS.json.gz'))} +v,R,h=c['v'],c['R'],c['h'];n=2*v+R;frames=c['frames'] +levels={int(t):f for t,f in c.get('target_levels',{}).items()} +entering=[r for r,f in enumerate(c['start']) if r>=2*v and f!=0] +plain={r for r in range(n) if r not in set(entering)} +def contains(a,b): + for x in a: + for y in b: + if x>>(y.bit_length()-1)&1:x^=y + if x:return False + return True +def local(events,back): + rows={('L',r):{r:Q(1)} for r in range(n)} + norm={('L',r):Q(1) for r in range(n)};prefix=Q(1);cur=c['start'].copy();private={} + hist=Counter();phases=[];entry=[];exit=[];centers=[];matrix_hash=hashlib.sha256();chain={};wrappers=[] + allowed=['zero_frame_precondition','entry_adapters','A','centers','B','final','exit_adapters','full_frame_cleanup','done'] + for event in events: + tag=event[0] + if tag=='phase': + phases.append(event[1]);assert phases==allowed[:len(phases)] + if event[1]=='A':assert entry==[(r,f) for r,f in enumerate(c['start']) if r in plain] and sorted(r for k_,r,f_ in wrappers if k_=='pre')==entering # GK + if event[1]=='centers':assert all(cur[r]==levels.get(r-v,0) for r in range(v,2*v)) # GK + if event[1]=='full_frame_cleanup':assert cur==c['final'] and exit==list(enumerate(c['final'])) + assert not private + elif tag=='residual_adapter': # GK: paid wrappers of entering helpers: R_E^-1 before the invocation, L_E^-1 after the full-frame cleanup + _,kind,r,f=event;assert r in entering and f==c['start'][r] and kind in ('pre','post') + assert (kind=='pre' and phases[-1]=='entry_adapters') or (kind=='post' and phases[-1]=='full_frame_cleanup') + assert (kind,r) not in {(k,x) for k,x,_ in wrappers};wrappers.append((kind,r,f)) + elif tag=='adapter': + assert event[3]==(c['start'] if event[1]=='old_to_new' else c['final'])[event[2]] + (entry if event[1]=='old_to_new' else exit).append((event[2],event[3])) + elif tag=='climb': + _,part,r,a,b,rank=event + assert not private and phases[-1]==part and cur[r]==a + assert contains(frames[a],frames[b]) and rank==len(frames[b])-len(frames[a])>0 + hist[rank]+=1;cur[r]=b + elif tag=='center': + _,k,a,b,rank=event + assert phases[-1]=='centers' and private=={('C',k):a} + cf=c['center_frames'][k];cr=len(frames[cf]) + # GK: stepwise descent cf -> served levels -> lowest (forward), reversed ascent (backward); each step is a nested child + assert contains(frames[a],frames[b]) if back else contains(frames[b],frames[a]) + assert rank==abs(len(frames[a])-len(frames[b]))>0 + chain.setdefault(k,[]).append((a,b)) + private['C',k]=b;hist[rank]+=1;centers.append(k) + elif tag=='scalar': + _,e,f=event;op=e[0];target=tuple(e[1]);source=tuple(e[2]) if op in ('copy','add') else None + if target[0]=='C' and op=='clear': + assert private.get(target,f)==f + private.pop(target,None) + else: + for r in (target,source): + if r is None:continue + if r[0]=='L':assert cur[r[1]]==f,('common frame',r,cur[r[1]],f) + else: + if r==target and r not in private:private[r]=f + assert private[r]==f + if op=='clear':rows[target]={};norm[target]=Q(0) + elif op=='copy':rows[target]=dict(rows[source]);norm[target]=norm[source] + elif op=='scale': + q=Q(e[2],e[3]);a,b=abs(q.numerator),q.denominator + assert a&(a-1)==0 and b&(b-1)==0 + rows[target]={j:q*x for j,x in rows[target].items()};norm[target]*=abs(q) + else: + q=Q(e[3],e[4]);a,b=abs(q.numerator),q.denominator + assert source!=target and b&(b-1)==0 + # Independent symbolic replay of the cleared coefficient work. + w=0 + for bit in bin(a)[2:]:w=2*w+int(bit) + assert Q(w,b)*(1 if q>0 else -1)==q + prefix=max(prefix,Q(a)*norm[source]) + norm[target]=norm.get(target,Q(0))+abs(q)*norm[source] + row=rows.setdefault(target,{}) + for j,x in list(rows[source].items()): + z=row.get(j,Q(0))+q*x + if z:row[j]=z + else:row.pop(j,None) + prefix=max(prefix,norm[target]) + else:raise AssertionError(tag) + assert phases==allowed and set(centers)==set(range(len(c['centers']))) and not private + assert sorted(r for k,r,_ in wrappers if k=='pre')==entering and sorted(r for k,r,_ in wrappers if k=='post')==entering # GK + for k,st in chain.items(): # GK: the steps of each centre chain link up and end at the centre frame + cf=c['center_frames'][k] + if back:assert st[-1][1]==cf and all(st[i][1]==st[i+1][0] for i in range(len(st)-1)) + else:assert st[0][0]==cf and all(st[i][1]==st[i+1][0] for i in range(len(st)-1)) + assert all(not row for reg,row in rows.items() if reg[0]=='C') + for r in range(n): + expected={r:Q(1)} + if back and r>i)&1==0);a=q^(1<>i&1 else 0)for i in order]+[1<2*max(paid)**2 + return dict(profile=dict(sorted(paid.items())),mass=mass,hosted=HOSTED,entering=entering,cross_replica=cross,sigma_digest=digest.hexdigest(),sigmas=sigmas,idle_remainders=len(wanted),busy_family_checks=len(roles),invocations=72) + +r=audit(ct);raw=gzip.decompress((OUT/'GLOBAL-TEMPLATE.json.gz').read_bytes());assert hashlib.sha256(raw).hexdigest()==summary['template_sha256'];assert r['profile']=={int(k):v for k,v in summary['global_profile'].items()};assert r['sigmas']==read(OUT/'ACTUAL-SIGMAS.json.gz');assert r['sigma_digest']==summary['sigma_stream_sha256'] +assert all(hashlib.sha256((BASE/name).read_bytes()).hexdigest()==value for name,value in summary['source_artifacts'].items()) +controls=[] +def reject(name,mut): + if '--mutation-controls' not in sys.argv[4:]:return + q=copy.deepcopy(ct);mut(q) + try:audit(q) + except(AssertionError,KeyError,IndexError,ValueError,TypeError):controls.append(name) + else:raise AssertionError('ACCEPTED '+name) +enter=lambda q:next(o for c in q['calls']for o in c['owners'][(2*V):]if o[1][0]==4) +reject('alias two whole owners',lambda q:q['calls'][0]['owners'].__setitem__((2*V+1),q['calls'][0]['owners'][(2*V)])) +reject('helper on active data family',lambda q:q['calls'][0]['owners'][(2*V)].__setitem__(0,q['calls'][0]['owners'][0][0])) +reject('owner in private namespace',lambda q:q['calls'][0]['owners'][(2*V)].__setitem__(0,DATA)) +reject('wrong residual width',lambda q:enter(q)[1].__setitem__(3,enter(q)[1][3]-1)) +reject('wrong spectator coordinate',lambda q:enter(q)[1][4].__setitem__(0,72)) +reject('omit idle remainder',lambda q:q['idle_children'].pop()) +reject('understate physical reserve',lambda q:q.__setitem__('physical',PHYSICAL-1)) +report=dict(status='PASS_INDEPENDENT_ASYNC_WHOLE_OWNER_CONTROLLER_PHASES_AND_SPECTATORS',template_sha256=summary['template_sha256'],complex_template_sha256=summary['template_sha256'],complex_live=DATA,complex_profile=r['profile'],complex_hosted_residuals=HOSTED,physical=PHYSICAL,rank_mass=r['mass'],deficit=2560,entering_helper_roles=r['entering'],cross_replica_helper_roles=r['cross_replica'],one_owner_per_complete_invocation=True,helper_busy_family_window_checks=r['busy_family_checks'],complete_invocations=r['invocations'],actual_orthogonal_73column_maps=len(r['sigmas']),actual_sigma_stream_sha256=r['sigma_digest'],all_actual_residual_and_spectator_charts=True,idle_remainders=r['idle_remainders'],mutations_rejected=controls,mutation_controls_run='--mutation-controls' in sys.argv[4:],widths=dict(sorted(Counter(width).items())),scope='Independent exact asynchronous chronology, per-replica phase projection, owner/chart/paid-profile audit. Uses the new selected local program bound by fresh scalar, phase and residual-wrapper receipts; all-size compilation and complete coefficient invoice are separate inherited obligations.') +REPORT.write_text(json.dumps(report,indent=2)+'\n');print(json.dumps(report,indent=2)) + +owners=dict(status='PASS_INDEPENDENT_ASYNC_OWNERS_AND_PROFILE',template_sha256=summary['template_sha256'],paid_profile=r['profile'],live=DATA,physical=PHYSICAL,rank_mass=r['mass'],deficit=2560,hosted_residuals=HOSTED,banked_residuals=0,all_live_owners_per_call_distinct=True,owners_per_call=N,actual_helper_owner_charts=HOSTED,actual_73column_sigmas=len(r['sigmas']),cross_replica_helper_roles=r['cross_replica'],explicit_idle_remainder_children=r['idle_remainders'],source_idle_children_charged=sum(x['replicas']for x in parent['idle_children']),source_artifacts=summary['source_artifacts'],controller_audit_sha256=hashlib.sha256(REPORT.read_bytes()).hexdigest()) +(REPORT.parent/'OWNERS-AND-PROFILE.json').write_text(json.dumps(owners,indent=2)+'\n') + +# Literal residual frames are a compact export of the already checked offsets, +# not another global replay. Every row names its actual inherited axes. +frames=[] +for z in ct['idle_children']: + axes=list(map(int,ph['recipes'][z['port']]['idle_children'][z['child']]['orthogonal_axes'])) + tail=axes[z['pending_offset']:] + assert len(tail)==z['rank'] + frames.append(dict(z,orthogonal_axes=tail)) +frame_raw=json.dumps(frames,sort_keys=True,separators=(',',':')).encode() +(OUT/'IDLE-REMAINDER-FRAMES.json.gz').write_bytes(gzip.compress(frame_raw,mtime=0)) +frame_receipt=dict(status='PASS_LITERAL_IDLE_REMAINDER_FRAMES',template_sha256=summary['template_sha256'], + uncompressed_frames_sha256=hashlib.sha256(frame_raw).hexdigest(),children=len(frames), + rank_profile=dict(sorted(Counter(z['rank']for z in frames).items())), + source_data_phase_sha256=hashlib.sha256((BASE/'work/complex-nine-native/DATA-PHASES.json').read_bytes()).hexdigest(), + scope='Actual orthogonal axes after the independently checked whole-owner prefix in each inherited pending child.') +(REPORT.parent/'IDLE-REMAINDER-FRAMES.json').write_text(json.dumps(frame_receipt,indent=2)+'\n') + diff --git a/research/pruned-trace-response/complex-global/vendor531/code/emit_local.py b/research/pruned-trace-response/complex-global/vendor531/code/emit_local.py new file mode 100644 index 0000000000..a54170b002 --- /dev/null +++ b/research/pruned-trace-response/complex-global/vendor531/code/emit_local.py @@ -0,0 +1,156 @@ +# GK: modified copy of PR #433's complex_emit.py (icekylinx with Codex assistance; PR #425) by DreamingOfClouds with Claude Opus 5.5 +# (Anthropic), via Claude Code. Every change is marked "GK:". On a word without start_extra / target_levels the behaviour +# and every written file equal PR #433's (regression anchor in verify.py). +import sys as _sys, os as _os; _sys.path.insert(0, _os.path.dirname(_os.path.abspath(__file__))) +# Adapted from PR425 by icekylinx with Codex assistance. +"""Emit both local programs, integrate the fixed nine-stage geometry, and bill. + +The expanded scalar interface is justified in PROOF.txt. This script does not +claim a Lean proof or discharge the inherited all-size/analytic interfaces. +""" +import copy,gzip,hashlib,importlib.util,json,math +from collections import Counter +from fractions import Fraction as Q +from pathlib import Path + +OUT=Path(_sys.argv[1]);cp=OUT/'CANONICAL-WORD.json.gz' +c=json.load(gzip.open(cp)) +frames=c['frames'];v,R,h=c['v'],c['R'],c['h'];n=2*v+R +def digest(x):return hashlib.sha256(json.dumps(x,sort_keys=True,separators=(',',':')).encode()).hexdigest() +def basis(vs): + b={} + for x in vs: + for p in sorted(b,reverse=True): + if x>>p&1:x^=b[p] + if x: + p=x.bit_length()-1 + for q in b: + if b[q]>>p&1:b[q]^=x + b[p]=x + return tuple(b[p] for p in sorted(b,reverse=True)) +def dual(e): + e=list(e) + if e[0]=='add':e[1],e[2]=e[2],e[1];e[3]*=-1 + else:e[2],e[3]=e[3],e[2] + return e +def scalar(e,back): + e=dual(e) if back else list(e) + if e[0]=='add':return ['add',['L',e[1]],['L',e[2]],e[3],e[4]] + return ['scale',['L',e[1]],e[2],e[3]] +def primitive_bound(e): + if e[0] in ('clear','copy'):return 1 + q=Q(e[3],e[4]) if e[0]=='add' else Q(e[2],e[3]) + a,b=abs(q.numerator),q.denominator + assert b&(b-1)==0 + if e[0]=='scale': + assert a&(a-1)==0 + return abs(a.bit_length()-b.bit_length())+int(q<0) + # Exact binary Horner multiplication on a cleared private stream, repeated + # halving, signed accumulation into the target, then clear the private stream. + return 3+(a.bit_length()-1)+a.bit_count()+(b.bit_length()-1) + +def emit(back): + out=[];cur=c['start'].copy() + def event(e):out.append(e) + def scal(e,f):event(['scalar',e,f]) + event(['phase','zero_frame_precondition']) + for e in c['precondition']+c['compensation']: + regs=[e[1]]+([e[2]] if e[0]=='add' else []) + assert all(c['start'][r]==0 for r in regs) + scal(scalar(e,back),0) + event(['phase','entry_adapters']) + # GK: a helper that starts at a nonzero entrance frame has NO entry adapter; its paid wrapper R_E^-1 (Lemma A) precedes every gate + # that touches it and L_E^-1 follows the full-frame cleanup. Words without entrances emit PR #433's events. + entering=[r for r,f in enumerate(c['start']) if r>=2*v and f!=0] + for r,f in enumerate(c['start']): + if r in entering:event(['residual_adapter','pre',r,f]) + else:event(['adapter','old_to_new',r,f]) + def climb(r,f,part): + old=cur[r] + if old==f:return + assert basis(frames[old]+frames[f])==tuple(frames[f]) + rank=len(frames[f])-len(frames[old]);assert rank>0 + event(['climb',part,r,old,f,rank]);cur[r]=f + for part in ('A','centers','B','final'): + event(['phase',part]) + if part in ('A','B'): + for e in c[part]: + regs=[e[1]]+([e[2]] if e[0]=='add' else []) + for r in regs:climb(r,e[-1],part) + scal(scalar(e,back),e[-1]) + elif part=='centers': + # GK: targets sit at their nonzero-frame-compensation level (0 at the defaults); a centre copy descends + # cf -> served levels (descending chain) -> lowest served level and scatters into each target at its level + lv=lambda r:c.get('target_levels',{}).get(str(r-v),0) + assert all(cur[r]==lv(r) for r in range(v,2*v)) + for k,r in enumerate(c['centers']): + cf=c['center_frames'][k];assert cur[r]==cf + terms=[e for e in c['cut'] if e[2]==r] + path=[cf]+sorted({lv(e[1]) for e in terms}-{cf},key=lambda x:-len(frames[x])) + C=['C',k] + if not back: + scal(['clear',C],cf);scal(['copy',C,['L',r]],cf) + for a in range(len(path)): + if a>0:event(['center',k,path[a-1],path[a],len(frames[path[a-1]])-len(frames[path[a]])]) + for e in terms: + if lv(e[1])==path[a]:scal(['add',['L',e[1]],C,e[3],e[4]],path[a]) + scal(['clear',C],path[-1]) + else: + scal(['clear',C],path[-1]) + for a in range(len(path)-1,-1,-1): + for e in terms: + if lv(e[1])==path[a]:scal(['add',C,['L',e[1]],e[3],e[4]],path[a]) + if a>0:event(['center',k,path[a],path[a-1],len(frames[path[a-1]])-len(frames[path[a]])]) + scal(['add',['L',r],C,-1,1],cf);scal(['clear',C],cf) + else: + for r,f in enumerate(c['final']):climb(r,f,part) + event(['phase','exit_adapters']) + for r,f in enumerate(c['final']):event(['adapter','new_to_old',r,f]) + event(['phase','full_frame_cleanup']) + for e in c['cleanup']: + regs=[e[1]]+([e[2]] if e[0]=='add' else []) + assert all(c['final'][r]==1 for r in regs) + scal(scalar(e,back),1) + for r in entering:event(['residual_adapter','post',r,c['start'][r]]) # GK: L_E^-1 after the full-frame cleanup + event(['phase','done']) + return out + +def check_local(events,back): + # Literal scalar replay of the emitted stream, including center lifetimes. + state={('L',r):{r:Q(1)} for r in range(n)};live=[];paid=Counter();prims=0;macros=0 + for e in events: + if e[0]=='climb':assert not live;paid[e[5]]+=1 + elif e[0]=='center':assert live==[e[1]];paid[e[4]]+=1 + elif e[0]=='scalar': + op=e[1];tag=op[0];t=tuple(op[1]);macros+=1;prims+=2*primitive_bound(op) + if tag=='clear': + state[t]={} + if t[0]=='C' and t[1] in live:live.remove(t[1]) + elif tag=='copy':state[t]=dict(state.get(tuple(op[2]),{}));live.append(t[1]) + elif tag=='scale':state[t]={j:Q(op[2],op[3])*x for j,x in state[t].items()} + else: + s=tuple(op[2]);q=Q(op[3],op[4]);row=state.setdefault(t,{}) + if t[0]=='C' and t[1] not in live:live.append(t[1]) + for j,x in list(state.get(s,{}).items()): + z=row.get(j,Q(0))+q*x + if z:row[j]=z + else:row.pop(j,None) + assert not live and all(not row for r,row in state.items() if r[0]=='C') + for r in range(n): + expected={r:Q(1)} + if back and r>i)&1);u=q^(1<>i&1 else 0)for i in order]+[1<=0 and off+w<=rank[i] + assert z['time']==at[s,rep] and z['time'] in plan['windows'][f'{orp},{i}'][1] + B=OH.idle_basis(canon['ports'][port]);pending=list(map(int,ph['recipes'][port]['idle_children'][i]['orthogonal_axes']));assert len(pending)==rank[i] + occ=[B.index(v)for v in pending[off:off+w]];sp=OH.spectators(canon['ports'][port],pending,off,w)if w<9 else[] + order=occ+sp+[j for j in range(M)if j not in occ and j not in sp];assert len(order)==len(set(order))==M + sigma=[B[j]for j in order];sigmahash=hashlib.sha256(json.dumps(sigma,separators=(',',':')).encode()).hexdigest();sigmas[sigmahash]=sigma + route=[4,i,off,w,sp]if w<9 else[3,i,off];bycall[s,rep][h]=[f,route];entering+=w<9 + cells=set(range(off,off+w));assert not used[i,orp,port]&cells;used[i,orp,port]|=cells + digest.update(json.dumps([s,rep,h,f,sigmahash],separators=(',',':')).encode()+b'\n') +for c in t['calls']: + k=(c['stage'],c['replica']);assert set(bycall[k])==set(range(R)) + c['owners']=c['owners'][:(2*V)]+[bycall[k][h]for h in range(R)];assert len({f for f,r in c['owners']})==2*V+R and all(f2*max(paid)**2 + +assert t['local_programs']==parent['local_programs'] +raw=json.dumps(t,sort_keys=True,separators=(',',':')).encode();(OUT/'GLOBAL-TEMPLATE.json.gz').write_bytes(gzip.compress(raw,mtime=0)) +res=dict(status='EMITTED_ASYNCHRONOUS_WHOLE_OWNER_COMPLEX_TEMPLATE',template_sha256=hashlib.sha256(raw).hexdigest(),parent_template_sha256=hashlib.sha256(gzip.decompress((BASE/'split-centres/GLOBAL-TEMPLATE.json.gz').read_bytes())).hexdigest(),live=DATA,physical=physical,global_profile=dict(sorted(paid.items())),rank_mass=sum(r*n for r,n in paid.items()),deficit=2560,maxchild=max(paid),hosted_residuals=len(roles),banks_per_stage=[0]*9,entering_helper_roles=entering,unique_actual_73column_sigmas=len(sigmas),sigma_stream_sha256=digest.hexdigest(),cross_replica_helper_roles=sum(z['replica']!=z['owner_replica']for z in roles),asynchronous_order_sha256=hashlib.sha256(json.dumps(call_order,separators=(',',':')).encode()).hexdigest(),source_artifacts={p.relative_to(BASE).as_posix():hashlib.sha256(p.read_bytes()).hexdigest()for p in [BASE/'split-centres/CANONICAL-WORD.json.gz',BASE/'split-centres/LOCAL-PROGRAMS.json.gz',BASE/'split-centres/LOCAL-CHECKS.json',BASE/'split-centres/RESIDUAL-ADAPTERS.json',BASE/'split-centres/CLIFFORD-RECIPES.json',BASE/'split-centres/CLIFFORD-REVIEW.json',BASE/'split-centres/INDEPENDENT-LOCAL-REPLAY.json',BASE/'work/complex-nine-native/DATA-PHASES.json']},scope='New emitted complete-invocation placement; independent controller/spectator/normalization and complete finite invoice admission required.') +(OUT/'HOSTED.json').write_text(json.dumps(res,indent=2)+'\n');(OUT/'ACTUAL-SIGMAS.json.gz').write_bytes(gzip.compress(json.dumps(sigmas,separators=(',',':')).encode(),mtime=0));print(json.dumps(res,indent=2)) diff --git a/research/pruned-trace-response/complex-global/vendor531/code/invoice_final.py b/research/pruned-trace-response/complex-global/vendor531/code/invoice_final.py new file mode 100644 index 0000000000..abefcee47b --- /dev/null +++ b/research/pruned-trace-response/complex-global/vendor531/code/invoice_final.py @@ -0,0 +1,299 @@ +"""Recount a changed local word and its actual asynchronous finite invoice. + +Prepared for icekylinx with OpenAI Codex assistance. Apache-2.0. +Adapted from the attributed Round19 audit_async_invoice.py and its PR484/514 +ancestry. Uses the fresh hash-bound independent local replay for exact scalar +endpoints; independently recounts emitted Horner work, prefix envelopes, +paid local calls, wrappers and finite charges. Does not rerun the old baseline +or read an old INTEGRATION.json as evidence for the changed word. +""" +import argparse +import gzip +import hashlib +import json +from collections import Counter +from fractions import Fraction as Q +from pathlib import Path + + +def read(path): + data = path.read_bytes() + return json.loads(gzip.decompress(data) if path.suffix == '.gz' else data) + + +def filehash(path): + return hashlib.sha256(path.read_bytes()).hexdigest() + + +def contenthash(path): + data = path.read_bytes() + return hashlib.sha256(gzip.decompress(data) if path.suffix == '.gz' else data).hexdigest() + + +def run(base, hosted, audit, out, retained_invoice=None): + local_dir = base / 'split-centres' + cp = local_dir / 'CANONICAL-WORD.json.gz' + pp = local_dir / 'LOCAL-PROGRAMS.json.gz' + rp = local_dir / 'INDEPENDENT-LOCAL-REPLAY.json' + w, programs, replay = read(cp), read(pp), read(rp) + checks = read(local_dir / 'LOCAL-CHECKS.json') + parent = read(local_dir / 'GLOBAL-TEMPLATE.json.gz') + template_path = hosted / 'GLOBAL-TEMPLATE.json.gz' + template = read(template_path) + owners = read(audit / 'OWNERS-AND-PROFILE.json') + control = read(audit / 'ASYNC-AUDIT.json') + template_hash = contenthash(template_path) + assert template_hash == control['complex_template_sha256'] == owners['template_sha256'] + assert owners['status'] == 'PASS_INDEPENDENT_ASYNC_OWNERS_AND_PROFILE' + assert replay['status'] == 'PASS_INDEPENDENT_LOCAL_SCALAR_FRAME_AND_WRAPPER_REPLAY' + assert replay['canonical_word_sha256'] == filehash(cp) + assert replay['local_programs_sha256'] == filehash(pp) + assert template['local_programs'] == parent['local_programs'] == programs + assert template['recipe'] == parent['recipe'] + assert Counter(c['orientation'] for c in template['calls']) == Counter(c['orientation'] for c in parent['calls']) + + v, helpers, h, m = w['v'], w['R'], w['h'], template['m'] + assert v == 112 and h == 9 and m == 73 + assert replay['v'] == v and replay['helpers'] == helpers + n = 2*v + helpers + stages, replicas, blocks_per_stream = 9, 8, 4 + call_count = len(template['calls']) + assert call_count == stages*replicas == control['complete_invocations'] + assert control['one_owner_per_complete_invocation'] + payload = 512 + + widths = [h-len(w['frames'][f]) for f in w['start'][2*v:]] + assert len(widths) == helpers + entrances = {r: f for r, f in enumerate(w['start']) if r >= 2*v and f != 0} + entering = len(entrances) + assert entering == replay['entering_helpers'] + local = {} + for orientation, events in programs.items(): + # Endpoint equality and native frames were already independently + # replayed on all n columns in the hash-bound receipt above. + env = {('L', r): Q(1) for r in range(n)} + peak = Q(1) + real = macros = workops = 0 + paid = Counter() + wrappers = {'pre': set(), 'post': set()} + for event in events: + tag = event[0] + if tag == 'climb': + paid[event[5]] += 1 + elif tag == 'center': + paid[event[4]] += 1 + elif tag == 'residual_adapter': + _, kind, register, frame = event + assert kind in wrappers and entrances.get(register) == frame + assert register not in wrappers[kind] + wrappers[kind].add(register) + elif tag == 'scalar': + macros += 1 + scalar = event[1] + op, target = scalar[0], tuple(scalar[1]) + if op == 'clear': + env[target] = Q(0) + count = 1 + elif op == 'copy': + env[target] = env[tuple(scalar[2])] + count = 1 + elif op == 'scale': + q = Q(scalar[2], scalar[3]) + numerator, denominator = abs(q.numerator), q.denominator + assert numerator and numerator & (numerator-1) == 0 + assert denominator & (denominator-1) == 0 + env[target] *= abs(q) + count = abs(numerator.bit_length()-denominator.bit_length()) + int(q < 0) + elif op == 'add': + source = tuple(scalar[2]) + q = Q(scalar[3], scalar[4]) + numerator, denominator = abs(q.numerator), q.denominator + assert source != target and numerator > 0 + assert denominator & (denominator-1) == 0 + acc, count = 0, 1 # clear coefficient work + for i, bit in enumerate(bin(numerator)[2:]): + if i: + acc *= 2 + count += 1 + peak = max(peak, acc*env[source]) + if bit == '1': + acc += 1 + count += 1 + peak = max(peak, acc*env[source]) + value = Q(acc) + for _ in range(denominator.bit_length()-1): + value /= 2 + count += 1 + peak = max(peak, value*env[source]) + assert value == abs(q) + count += 2 # signed accumulation and work clear + env[target] = env.get(target, Q(0)) + abs(q)*env[source] + workops += count + else: + raise AssertionError(op) + real += 2*count + peak = max(peak, env[target]) + else: + assert tag in ('adapter', 'phase') + assert wrappers['pre'] == wrappers['post'] == set(entrances) + assert all(value == 0 for register, value in env.items() if register[0] == 'C') + prior = replay['local'][orientation] + assert prior['all_exact_columns'] == n and prior['private_work_erased'] + assert peak == Q(prior['prefix_l1_upper']) and peak < 2**prior['charged_payload_bits'] + bits = peak.numerator.bit_length()-peak.denominator.bit_length()+1 + assert bits == prior['prefix_bits_upper'] + assert real == checks[orientation]['real_component_primitive_bound'] + assert macros == checks[orientation]['scalar_macros'] + assert dict(paid) == {int(r): count for r, count in checks[orientation]['paid_profile'].items()} + assert dict(paid) == {int(r): count for r, count in replay['paid_profiles'][orientation].items()} + local[orientation] = dict( + events=len(events), macros=macros, real_component_primitives=real, + prefix_l1=str(peak), prefix_bits=bits, + coefficient_work_primitive_count=workops, all_exact_columns=n, + dirty_helper_columns=helpers, all_dirty_helper_columns_restored=True, + private_centres_and_coefficient_work_cleared=True, + pre_wrappers=len(wrappers['pre']), post_wrappers=len(wrappers['post']), + endpoint_evidence='Hash-bound fresh INDEPENDENT-LOCAL-REPLAY.json') + + centres = len(w['centers']) + children = sum(checks['forward']['paid_profile'].values()) + assert checks['forward']['paid_profile'] == checks['backward']['paid_profile'] + macro_bound = max(row['macros'] for row in local.values()) + compiler = 64*(m+1)**3 + adapters = 16*(macro_bound+children+n+centres)+64*m + primitive_bound = max(row['real_component_primitives'] for row in local.values())+adapters*compiler + + bridge_steps = sum(event['kind'] == 'bridge' for event in parent['recipe']) + bridge_sweeps = sum(event['kind'] == 'bridge' for event in template['execution_schedule']) + assert bridge_sweeps == replicas*bridge_steps + bridge_additions = 2*v*bridge_sweeps + shifts = blocks_per_stream*v*replicas + moves = 2*shifts + parent_live, parent_physical = parent['live'], parent['physical'] + data_stock = 2*v*blocks_per_stream*replicas + assert (parent_live-data_stock) % stages == 0 + parent_banks = (parent_live-data_stock)//stages + assert parent_banks >= 0 + assert parent_physical == parent_live+helpers+centres+2 + scalar = sum(local[call['orientation']]['real_component_primitives'] for call in template['calls']) + factors_per_wrapper = 2*(m-1) + wrapper_factors = 2*call_count*entering*factors_per_wrapper + nonlocal_items = ( + 4*v*replicas*stages + 2*v*replicas*stages + + 2*call_count*helpers + + sum(child['replicas'] for child in parent['idle_children']) + + stages*parent_banks + bridge_additions + shifts + moves + + parent_live + parent_physical + wrapper_factors) + outside = 8*nonlocal_items+64*m + parent_pervertex = ( + scalar+bridge_additions+shifts+moves+parent_live + +(call_count*adapters+outside)*compiler+64*parent_physical) + + live, physical = template['live'], template['physical'] + mass, profile = owners['rank_mass'], owners['paid_profile'] + assert m*live-mass == owners['deficit'] == 2560 + assert mass == sum(int(r)*count for r, count in profile.items()) + assert physical == live+helpers+centres+2 + assert live == owners['live'] and physical == owners['physical'] + assert live <= parent_live and physical <= parent_physical + assert not template['bank_padding']['families'] + assert owners['explicit_idle_remainder_children'] <= owners['source_idle_children_charged'] + rebased = parent_pervertex+65*(physical-parent_physical)+(live-parent_live) + used = max(rebased, parent_pervertex) + retained = None + if retained_invoice is not None: + previous = read(retained_invoice) + assert previous['compiler'] == compiler + assert previous['charged_prefix_bits'] == payload + previous_bound = previous['conservative_pervertex_used'] + # The entire newly reconstructed charge is added to the retained old + # allowance. This is intentionally stronger than only paying positive + # deltas and makes no claim that the old integration certifies this word. + used = max(used, previous_bound+parent_pervertex) + retained = dict(sha256=filehash(retained_invoice), + previous_pervertex_allowance=previous_bound, + added_complete_new_pervertex=parent_pervertex, + policy='Retain old allowance and add the entire fresh recount.') + + half = m//2 + group = 2**(half*half) + for i in range(1, half+1): + group *= 2**(2*i)-1 + stock, streamed_mass = group*physical, group*mass + logical = group*used+64 + router = compiler*(logical+1)*(stock+1)**2 + g_bound, e_bound, c0 = 2**30000, 2**100000, 2**210000 + total_mass = streamed_mass+e_bound + literal = 2*g_bound*stock**2+8*streamed_mass+4*stock+4+32*m + row = 2*stock.bit_length()+9909+252+2*payload + maxchild = max(map(int, profile)) + inequalities = dict( + local_primitive_bound=primitive_bound < 2**48, + logical=logical < 2**6050, router=router < g_bound, + literal=literal < e_bound, mass=total_mass < 2**100001, + precision=32*m*total_mass*total_mass < c0, + tape=2*total_mass+18 < c0, row=row < 20161, + halving=m*m > 2*maxchild*maxchild) + assert all(inequalities.values()) + localbits = max(row['prefix_bits'] for row in local.values()) + input_l2_bits = (m+1)//2 + required_prefix = localbits+input_l2_bits+call_count+bridge_sweeps+4 + assert required_prefix < payload + + receipt = dict( + status='PASS_INDEPENDENT_ASYNC_SCALAR_PREFIX_AND_FINITE_INVOICE', + template_sha256=template_hash, + parent_template_sha256=contenthash(local_dir/'GLOBAL-TEMPLATE.json.gz'), + owner_audit_sha256=filehash(audit/'OWNERS-AND-PROFILE.json'), + controller_audit_sha256=filehash(audit/'ASYNC-AUDIT.json'), + independent_local_replay_sha256=filehash(rp), + canonical_word_sha256=filehash(cp), local_programs_sha256=filehash(pp), + local_checks_sha256=filehash(local_dir/'LOCAL-CHECKS.json'), + global_prefix_bits=required_prefix, charged_prefix_bits=payload, + complete_invocation_sweeps=call_count, bridge_sweeps=bridge_sweeps, + row_prefix_extra=2*payload, local=local, helpers=helpers, + centres=centres, live=live, physical=physical, + physical_stock_identity=dict(data_and_owner_families=live, + local_helpers=helpers, private_centres=centres, + coefficient_work=2), + entering_helpers=entering, entrance_rank=sum(h-width for width in widths), + width_inventory=dict(sorted(Counter(widths).items())), + local_adapters=adapters, local_primitive_bound=primitive_bound, + wrapper_elementary_factors_charged=wrapper_factors, + factors_per_wrapper=factors_per_wrapper, compiler=compiler, + unhosted_pervertex=parent_pervertex, hosted_rebased_pervertex=rebased, + conservative_pervertex_used=used, retained_prior_overcharge=retained, + finite=dict(physical_stock_bits=stock.bit_length(), router_bits=router.bit_length(), + literal_bits=literal.bit_length(), physical_row_coefficient=row, + retained_row_coefficient=20161, + required_C0_bits=(32*m*total_mass*total_mass).bit_length(), + halving_integer_inequality=[m*m, 2*maxchild*maxchild], + G_exponent=30000, E_exponent=100000, C0_exponent=210000), + strict_checks=inequalities, + scope='Fresh emitted primitive/Horner, prefix, wrapper and finite recount, using the hash-bound independent local all-column/frame replay and actual whole-owner audit. No old INTEGRATION receipt is used to certify the changed word. The inherited all-size compiler, precision/tape and analytic-transfer contracts remain conditional. Retained payload 512 and physical row allowance 20161 are unchanged.') + prefix = dict( + status='PASS_ASYNC_GLOBAL_PREFIX', template_sha256=template_hash, + global_prefix_bits=required_prefix, retained_payload_bits=payload, + complete_invocation_cover_sweeps=call_count, + bridge_factor_two_sweeps=bridge_sweeps, + local_scalar_coefficient_work_prefix_bits=localbits, + stream_input_sup_to_l2_bits=input_l2_bits, + primitive_arithmetic_margin_bits=4, + controller_audit_sha256=filehash(audit/'ASYNC-AUDIT.json'), + independent_local_replay_sha256=filehash(rp), + proof=f'Each complete normalized invocation has unitary helper endpoints and a data shear with at most two unitary summands. Actual full orthogonal owner charts act by right-translation bijections on the retained cover group. Count all {call_count} complete local sweeps and {bridge_sweeps} individual bridge sweeps. Unit-modulus phases, idle children, terminal translations and normalized spectator endpoints are unitary. The independently recounted scalar/Horner envelope uses {localbits} bits; input sup-to-L2 uses {input_l2_bits}; arithmetic margin is 4. Total {required_prefix} < {payload}. All-size child/compiler and precision/tape interfaces remain inherited.') + out.mkdir(parents=True, exist_ok=True) + (out/'PREFIX-AND-INVOICE.json').write_text(json.dumps(receipt, indent=2)+'\n') + (out/'GLOBAL-PREFIX.json').write_text(json.dumps(prefix, indent=2)+'\n') + print(json.dumps(receipt, indent=2), flush=True) + + +if __name__ == '__main__': + parser = argparse.ArgumentParser(description=__doc__) + parser.add_argument('--base', type=Path, required=True) + parser.add_argument('--hosted', type=Path, required=True) + parser.add_argument('--audit', type=Path, required=True) + parser.add_argument('--out', type=Path, required=True) + parser.add_argument('--retained-invoice', type=Path) + args = parser.parse_args() + run(args.base, args.hosted, args.audit, args.out, args.retained_invoice) diff --git a/research/pruned-trace-response/complex-global/vendor531/code/phases_delta.py b/research/pruned-trace-response/complex-global/vendor531/code/phases_delta.py new file mode 100644 index 0000000000..8d78d26b3b --- /dev/null +++ b/research/pruned-trace-response/complex-global/vendor531/code/phases_delta.py @@ -0,0 +1,158 @@ +"""Reuse the pinned PR523 phase certificates and lower only changed edges. + +The inherited Gaussian-dyadic compiler still checks every fresh tableau and +global phase. Its zero-state interpreter is accelerated with cached exact +integer permutations and Z4 phases. Overflow is checked before every sum; +there is no floating-point arithmetic in a phase equality. + +Prepared for icekylinx with GPT-6 Astra assistance. Apache-2.0. +Compiler and certificate format: PR425/433, icekylinx with Codex assistance. +""" +import argparse +import copy +import gzip +import hashlib +import json +import sys +import time +from collections import Counter +from functools import lru_cache +from pathlib import Path + +import numpy as np + + +def sha(path): + return hashlib.sha256(path.read_bytes()).hexdigest() + + +def frozen(x): + return tuple(map(frozen, x)) if isinstance(x, (list, tuple)) else x + + +def main(): + p = argparse.ArgumentParser() + p.add_argument('--local', type=Path, required=True) + p.add_argument('--baseline', type=Path, required=True) + p.add_argument('--compiler', type=Path, required=True) + a = p.parse_args() + sys.path.insert(0, str(a.compiler.resolve())) + import clifford_exact as ce + started = time.monotonic() + assert sha(a.compiler/'clifford_exact.py') == '2982ead07721e83358dc67c6f49c2b4c16a236a6bebdfd72f58221be1f5d0962', 'baseline canonical-frame and phase convention must remain pinned' + c = json.load(gzip.open(a.local/'CANONICAL-WORD.json.gz')) + b = json.load(gzip.open(a.baseline/'CANONICAL-WORD.json.gz')) + old = json.loads((a.baseline/'CLIFFORD-RECIPES.json').read_text()) + prior = json.loads((a.baseline/'CLIFFORD-REVIEW.json').read_text()) + assert prior['all_child_equalities_include_global_phase'] + assert prior['recipe_sha256'] == sha(a.baseline/'CLIFFORD-RECIPES.json') + assert prior['canonical_word_sha256'] == sha(a.baseline/'CANONICAL-WORD.json.gz') + assert c['h'] == b['h'] == 9 and c['ports'] == b['ports'] + n = c['h']; N = 1 << n + xs = np.arange(N, dtype=np.int64) + parity = np.array([x.bit_count() & 1 for x in range(N)], dtype=np.int64) + + @lru_cache(None) + def action(e): + if e[0] == 'P': + return sum(parity[xs & row] << i for i, row in enumerate(e[1])) + if e[0] == 'D': + Q, alpha = e[1:] + phase = np.zeros(N, dtype=np.int64) + for i in range(n): + phase += ((xs >> i) & 1) * alpha[i] + for j in range(i+1, n): + if (Q[i] >> j) & 1: + phase += 2*((xs >> i) & (xs >> j) & 1) + return phase % 4 + if e[0] in ('C', 'X'): + return xs ^ e[1] + return e[1] + + @lru_cache(maxsize=4096) + def state(circuit, basis): + re = np.zeros(N, dtype=np.int64); im = np.zeros(N, dtype=np.int64) + re[basis] = 1; den = 0 + for e in circuit: + z = action(e) + if e[0] == 'P': + rr = np.empty_like(re); ii = np.empty_like(im) + rr[z] = re; ii[z] = im; re, im = rr, ii + elif e[0] == 'X': + re, im = re[z], im[z] + elif e[0] in ('D', 'phase'): + sign = 1 - 2*(z//2) + odd = z % 2 + re, im = sign*np.where(odd, -im, re), sign*np.where(odd, re, im) + elif e[0] == 'C': + assert max(int(np.max(np.abs(re))), int(np.max(np.abs(im)))) < 2**60 + s = e[2]; rr, ii = re[z], im[z] + re, im = re-s*im+rr+s*ii, im+s*re+ii-s*rr + den += 1 + else: + raise AssertionError(e) + while den and not bool(np.any((re & 1) | (im & 1))): + re //= 2; im //= 2; den -= 1 + return tuple(zip(map(int, re), map(int, im))), den + + original = ce.Op.zero_state + # Check the independent vectorized interpreter against the inherited + # literal one on one nontrivial changed edge and its adjoint, once. + probe = ce.canonical_frame(n, c['frames'][c['center_frames'][0]]) + probes = (probe, probe.adjoint().then(ce.fourier(n))) + for op in probes: + expected, den = original(op) + got, d = state(frozen(op.circuit), 0) + assert tuple(expected) == got and den == d + ce.Op.zero_state = lambda self, basis=0: state(frozen(self.circuit), basis) + + @lru_cache(None) + def frame(U): + op = ce.canonical_frame(n, U) + L = [u | (u << n) for u in U] + [v << n for v in ce.nullspace(U, n)] + pre = [x | (z << n) for x, z, _ in ce.inverse(op.tab)[n:]] + assert ce.rank(L) == ce.rank(L+pre) == n + assert ce.rank([x for x, _, _ in op.tab[n:]]) == len(U) + return op + + key = lambda frames, x, y: (tuple(frames[x]), tuple(frames[y])) + known = {key(b['frames'], r['old'], r['new']): r for r in old['children']} + edges = set(map(tuple, c['edges'])) | {(x,y) for f in c['center_frames'] for x,y in ((f,0),(0,f))} + recipes = []; hist = Counter(); fresh = []; reused = [] + for i, (x, y) in enumerate(sorted(edges)): + U, V = key(c['frames'], x, y) + if (U,V) in known: + rec = copy.deepcopy(known[U,V]); rec.update(old=x, new=y); reused.append([x,y]) + else: + rec, _ = ce.lower_child(frame(U).adjoint().then(frame(V))) + rec = dict(old=x, new=y, **rec); fresh.append([x,y]) + assert rec['rank'] == abs(len(U)-len(V)) + hist[rec['rank']] += 1; recipes.append(rec) + if i and i % 600 == 0: + print('delta phases', i, '/', len(edges), 'fresh', len(fresh), 'seconds', round(time.monotonic()-started, 2), flush=True) + adapters = [] + for r in old['endpoint_adapters']: + rec = copy.deepcopy(r); port = r['port'] + f = c['start'][port] if r['role'] == 'source' else c['final'][c['v']+port] + assert tuple(c['frames'][f]) == tuple(b['frames'][r['frame']]) and rec['rank'] == 0 + rec['frame'] = f; adapters.append(rec) + assert len(adapters) == 2*c['v'] + assert {(r['role'], r['port']) for r in adapters} == {(role, port) for role in ('source', 'target') for port in range(c['v'])} + payload = json.dumps(dict(children=recipes, endpoint_adapters=adapters), sort_keys=True, separators=(',',':')).encode() + (a.local/'CLIFFORD-RECIPES.json').write_bytes(payload) + report = dict(status='PASS_REUSED_AND_FRESH_EXACT_LOCAL_PHASE_RECIPES', + canonical_word_sha256=sha(a.local/'CANONICAL-WORD.json.gz'), frames=len(c['frames']), + directed_edges=len(edges), reused_edges=len(reused), fresh_edges=len(fresh), + ranks=dict(hist), endpoint_adapters=len(adapters), reused_endpoint_adapters=len(adapters), + all_child_equalities_include_global_phase=True, recipe_sha256=hashlib.sha256(payload).hexdigest(), + baseline_recipe_sha256=prior['recipe_sha256'], baseline_review_sha256=sha(a.baseline/'CLIFFORD-REVIEW.json'), + compiler_sha256=sha(a.compiler/'clifford_exact.py'), seconds=time.monotonic()-started, + vector_arithmetic='Exact checked int64 Gaussian dyadics; cached permutations and Z4 phase actions. No floating-point equality.', + fresh_edge_ids=fresh, + scope='Only previously unseen ordered pairs of actual canonical subspaces were freshly lowered. Identical baseline pairs and all endpoint adapters reuse the pinned phase certificates; no full cold replay was performed.') + (a.local/'CLIFFORD-REVIEW.json').write_text(json.dumps(report,indent=2)+'\n') + print(json.dumps({k:report[k] for k in ('status','directed_edges','reused_edges','fresh_edges','seconds')},sort_keys=True),flush=True) + + +if __name__ == '__main__': + main() diff --git a/research/pruned-trace-response/complex-global/vendor531/code/prepare_supplier_base.py b/research/pruned-trace-response/complex-global/vendor531/code/prepare_supplier_base.py new file mode 100644 index 0000000000..650fc9fd77 --- /dev/null +++ b/research/pruned-trace-response/complex-global/vendor531/code/prepare_supplier_base.py @@ -0,0 +1,95 @@ +"""Bind the new supplier to the unchanged verified 112-port data controller. + +The parent uses one dedicated bank per helper and stage. Each of its eight +complete invocations uses a disjoint width-w block; the residual bank frame is +listed literally. The final whole-owner derivative removes every such bank. +All inherited data routes and exact data phase recipes remain byte-identical. +""" +import argparse +import copy +import gzip +import hashlib +import json +import shutil +from collections import Counter +from pathlib import Path + +ap=argparse.ArgumentParser(description=__doc__) +ap.add_argument('--data-base',type=Path,required=True) +ap.add_argument('--local',type=Path,required=True) +ap.add_argument('--out',type=Path,required=True) +a=ap.parse_args() +def read(p):return json.loads(gzip.decompress(p.read_bytes())if p.suffix=='.gz'else p.read_bytes()) +def sha(p):return hashlib.sha256(p.read_bytes()).hexdigest() +def dump(p,obj): + b=json.dumps(obj,sort_keys=True,separators=(',',':')).encode();p.parent.mkdir(parents=True,exist_ok=True) + p.write_bytes(gzip.compress(b,mtime=0)if p.suffix=='.gz'else b+b'\n') + return hashlib.sha256(b).hexdigest() +assert not a.out.exists(),'Output must be new' +old=read(a.data_base/'split-centres/GLOBAL-TEMPLATE.json.gz') +oldcan=read(a.data_base/'split-centres/CANONICAL-WORD.json.gz') +can=read(a.local/'CANONICAL-WORD.json.gz');checks=read(a.local/'LOCAL-CHECKS.json');programs=read(a.local/'LOCAL-PROGRAMS.json.gz') +V,H,R=can['v'],can['h'],can['R'];C=len(can['centers']);M,T,L,K=73,8,9,4 +assert(V,H,C)==(112,9,8)and can['ports']==oldcan['ports'] +widths=[H-len(can['frames'][f])for f in can['start'][2*V:]];assert len(widths)==R +local_H={int(r):n for r,n in checks['forward']['paid_profile'].items()} +assert all({int(r):n for r,n in z['paid_profile'].items()}==local_H for z in checks.values()) +assert sum(r*n for r,n in local_H.items())==2*V*(H-1)+64+sum(widths) +D=a.out/'split-centres';D.mkdir(parents=True) +required=('CANONICAL-WORD.json.gz','FULL-WORD.json.gz','LOCAL-PROGRAMS.json.gz','LOCAL-CHECKS.json','RESIDUAL-ADAPTERS.json','CLIFFORD-RECIPES.json','CLIFFORD-REVIEW.json','INDEPENDENT-LOCAL-REPLAY.json') +for name in required:assert(a.local/name).is_file() +for p in a.local.iterdir(): + if p.is_file():shutil.copyfile(p,D/p.name) +shutil.copyfile(a.local/'INDEPENDENT-LOCAL-REPLAY.json',D/'INDEPENDENT-REPLAY.json') +for rel in('work/complex-nine-native/DATA-PHASES.json',*[f'work/pr361/code/engines/{n}'for n in('moment.py','base_two_moment.py','outer.py')]): + dst=a.out/rel;dst.parent.mkdir(parents=True,exist_ok=True);shutil.copyfile(a.data_base/rel,dst) +DATA=2*K*T*V;W=DATA+L*R;P=W+R+C+2 +t=copy.deepcopy(old);t.update(version='round20-new-supplier-dedicated-bank-parent-v1',live=W,physical=P,local_programs=programs) +t['private_namespace']={'centers':[W,W+C],'reserved_tableau':[W+C,W+C+R],'coefficient':[P-2,P]} +for c in t['calls']: + s,rep=c['stage'],c['replica'];owners=copy.deepcopy(c['owners'][:2*V]) + for helper,w in enumerate(widths): + family=DATA+s*R+helper + route=[2,rep]if w==9 else[2,rep*w,w,list(range(T*w,T*w+9-w))] + owners.append([family,route]) + assert len(owners)==len({f for f,_ in owners})==2*V+R + c['owners']=owners;c['local_program_sha256']=checks[c['orientation']]['sha256'] +bank_children=[];pad=Counter() +for s in range(L): + for helper,w in enumerate(widths): + f=DATA+s*R+helper;axes=list(range(T*w,M));rank=len(axes) + assert 02*max(paid)**2 +assert t['recipe']==old['recipe'] and t['idle_children']==old['idle_children'] +assert t['execution_schedule'][:30]==old['execution_schedule'][:30] +assert all(c['owners'][:2*V]==oc['owners'][:2*V]for c,oc in zip(t['calls'],old['calls'])) +th=dump(D/'GLOBAL-TEMPLATE.json.gz',t) +report=dict(status='BOUND_NEW_LOCAL_SUPPLIER_TO_UNCHANGED_DATA_CONTROLLER',R=R,v=V,m=M, + live=W,physical=P,rank_mass=mass,deficit=2560,global_profile=dict(sorted(paid.items())), + bank_remainder_profile=dict(sorted(pad.items())),bank_assignments=L*T*R, + global_template_sha256=th,local_program_checks=checks, + canonical_word_sha256=sha(D/'CANONICAL-WORD.json.gz'),exact_phase_receipt_sha256=sha(D/'CLIFFORD-REVIEW.json'), + scope='The new local programs and phase/normalization artifacts are hash-bound to the unchanged data controller. Every dedicated bank and complement frame is explicit. The final whole-owner placement and independent scalar/finite recount are supplied separately; this file does not assert an old finite invoice.') +dump(D/'INTEGRATION.json',report) +print(json.dumps({k:report[k]for k in('status','R','live','physical','global_profile','bank_remainder_profile')},indent=2),flush=True) diff --git a/research/pruned-trace-response/complex-global/vendor531/evidence/audit/PREFIX-AND-INVOICE.json b/research/pruned-trace-response/complex-global/vendor531/evidence/audit/PREFIX-AND-INVOICE.json new file mode 100644 index 0000000000..a16bf40bcc --- /dev/null +++ b/research/pruned-trace-response/complex-global/vendor531/evidence/audit/PREFIX-AND-INVOICE.json @@ -0,0 +1,105 @@ +{ + "status": "PASS_INDEPENDENT_ASYNC_SCALAR_PREFIX_AND_FINITE_INVOICE", + "template_sha256": "ed47b5454779f7ad6b32ae492a13f8b5172b11c94c3877cbc5cc5d7a4c357738", + "parent_template_sha256": "9bebafae2c7e21a8a134cc9f2d4709c075b1641abafc33825d116b2508253ceb", + "owner_audit_sha256": "e5f11e7b920f9985f085546c641dbac5b8d98231d562e1e030ab2566ccea4bd6", + "controller_audit_sha256": "01ea0015d4e08170ac65f1cdd051be64e07f622eba62eadbf39524317388cba7", + "independent_local_replay_sha256": "4149f3d2ec3041965c5d72869748090d9aeed422f36d753550c543bb7808b30b", + "canonical_word_sha256": "de2be0f4b6d24ace368fd5b834b7a00f9625d0a1824c4ff969f2db5f115db667", + "local_programs_sha256": "755a5c4ebe958fd9f7b5d4a6e7a506d2c802e31c4d9da46b63db1994c4d8ffa6", + "local_checks_sha256": "c6807681d40cb46c21a50edc1058044ddc758f2dd3e6b0bab16d7cb28d41732f", + "global_prefix_bits": 225, + "charged_prefix_bits": 512, + "complete_invocation_sweeps": 72, + "bridge_sweeps": 72, + "row_prefix_extra": 1024, + "local": { + "backward": { + "events": 22937, + "macros": 17872, + "real_component_primitives": 177740, + "prefix_l1": "1014379823310", + "prefix_bits": 40, + "coefficient_work_primitive_count": 88098, + "all_exact_columns": 728, + "dirty_helper_columns": 504, + "all_dirty_helper_columns_restored": true, + "private_centres_and_coefficient_work_cleared": true, + "pre_wrappers": 152, + "post_wrappers": 152, + "endpoint_evidence": "Hash-bound fresh INDEPENDENT-LOCAL-REPLAY.json" + }, + "forward": { + "events": 22937, + "macros": 17872, + "real_component_primitives": 177692, + "prefix_l1": "86491024246", + "prefix_bits": 37, + "coefficient_work_primitive_count": 88066, + "all_exact_columns": 728, + "dirty_helper_columns": 504, + "all_dirty_helper_columns_restored": true, + "private_centres_and_coefficient_work_cleared": true, + "pre_wrappers": 152, + "post_wrappers": 152, + "endpoint_evidence": "Hash-bound fresh INDEPENDENT-LOCAL-REPLAY.json" + } + }, + "helpers": 504, + "centres": 8, + "live": 7168, + "physical": 7682, + "physical_stock_identity": { + "data_and_owner_families": 7168, + "local_helpers": 504, + "private_centres": 8, + "coefficient_work": 2 + }, + "entering_helpers": 152, + "entrance_rank": 152, + "width_inventory": { + "8": 152, + "9": 352 + }, + "local_adapters": 357568, + "local_primitive_bound": 9273288832588, + "wrapper_elementary_factors_charged": 3151872, + "factors_per_wrapper": 144, + "compiler": 25934336, + "unhosted_pervertex": 1361655146111768, + "hosted_rebased_pervertex": 1361655145812392, + "conservative_pervertex_used": 2877946989724568, + "retained_prior_overcharge": { + "sha256": "bb43ef04791037a37d2596c395e81191991fde6581326118995cf4318ee472a3", + "previous_pervertex_allowance": 1516291843612800, + "added_complete_new_pervertex": 1361655146111768, + "policy": "Retain old allowance and add the entire fresh recount." + }, + "finite": { + "physical_stock_bits": 2641, + "router_bits": 7985, + "literal_bits": 35282, + "physical_row_coefficient": 16467, + "retained_row_coefficient": 20161, + "required_C0_bits": 200012, + "halving_integer_inequality": [ + 5329, + 4608 + ], + "G_exponent": 30000, + "E_exponent": 100000, + "C0_exponent": 210000 + }, + "strict_checks": { + "local_primitive_bound": true, + "logical": true, + "router": true, + "literal": true, + "mass": true, + "precision": true, + "tape": true, + "row": true, + "halving": true + }, + "scope": "Fresh emitted primitive/Horner, prefix, wrapper and finite recount, using the hash-bound independent local all-column/frame replay and actual whole-owner audit. No old INTEGRATION receipt is used to certify the changed word. The inherited all-size compiler, precision/tape and analytic-transfer contracts remain conditional. Retained payload 512 and physical row allowance 20161 are unchanged." +} diff --git a/research/pruned-trace-response/complex-global/vendor531/evidence/local/CANONICAL-WORD.json.gz b/research/pruned-trace-response/complex-global/vendor531/evidence/local/CANONICAL-WORD.json.gz new file mode 100644 index 0000000000000000000000000000000000000000..3b0a475178f4e4ad107e3595992c872e47e83c63 GIT binary patch literal 75113 zcmY(q1yEaE8!e1G1d6-6yAvFOQ{3I%p}4!dyOiSYT8euq#fp1z_nW@oz4OnXIkV+C zTV`@r)>`{XLK=$z@$Ur%-P1e0z|tK<m(F+BD!&2aC38r1naUCArpV7H6 z>UOP}AP6qJ)3@=T5ilS|1%-`g=VXL1_|P#%=Tp$#(SN$!VhBJeo>hC@UJIe~{n>`3 zoqZ1**v?LWmc5`S#23q!bm@QBrZj~5$y23bjeG;`*i*KB7Y!imZLEnR>r+HBN{ErbOZ9h90Y50)J*W)Y zR2n7AHON09$vG^Hl7`476SFLjjrSAHnYDX}<#PAfT-bBos?Lh85{#}O1rpHxS3C(sNEEDEgtjqEoX<@7|Fli^G*&vf3s91Nd7o^!B zKgJZG_xgPpj0l)YfTRcfK6I8?fKVtKj+YfYDkEas59-)1N^PLMB68M^3ebcKeN#oI z&q^?;zjyVhn{O=r66dwioZD1um+pTl0*)x#?rBjom!XV-iyAE^s>&j9kDV` zwjc4b&VHN#@{;WuRstyah&rOk{;nUkQg*^%>KNRD&Vd)N$VCLd)zB4x2k}E_kAr-P 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complete recipe is unchanged except its port index; the retained parent polynomial checks establish every selected equality.","scope":"All compressed data boundary operators, idle children, terminal X_q and all-live cover correction. Internal arbitrary-subspace canonical labels are checked separately.","source_parent_sha256":"f621f6d4296cb215f334830356c5f79fe10d6d04d15b3ccda76ba0885ab67d0a","status":"PASS_EXACT_Z4_DATA_ROUTE_IDLE_AND_TERMINAL_PHASES","terminal_omission_controls_rejected":112} diff --git a/research/pruned-trace-response/complex-global/vendor531/inputs/data-base/work/pr361/code/engines/base_two_moment.py b/research/pruned-trace-response/complex-global/vendor531/inputs/data-base/work/pr361/code/engines/base_two_moment.py new file mode 100644 index 0000000000..14a90fa0e7 --- /dev/null +++ b/research/pruned-trace-response/complex-global/vendor531/inputs/data-base/work/pr361/code/engines/base_two_moment.py @@ -0,0 +1,63 @@ +#!/usr/bin/env python3 +"""Maintainer arithmetic cross-check of the pinned PR39 certificate. + +Uses no producer/checker imports. Counts are inputs, not proved by this script. +80-term rational logarithms and 12-term exponentials independently enclose +the two moments. The accompanying written review addresses their realization. +""" +import argparse +from fractions import Fraction as Q +from hashlib import sha256 +import json +from pathlib import Path + +ROOT = Path(__file__).resolve().parents[1] +GRID = 10**30 + + +def require(condition, message): + if not condition: + raise ValueError(message) + + +def log_unit(x): + require(1 <= x <= 2, "logarithm range") + z = (x-1)/(x+1) + lo = 2*sum((z**(2*j+1)/(2*j+1) for j in range(80)), Q(0)) + return lo, lo+2*z**161/(161*(1-z*z)) + + +def log_bounds(x): + k = 0 + while x > 2: + x /= 2 + k += 1 + lo, hi = log_unit(x) + l2, u2 = log_unit(Q(2)) + lo, hi = lo+k*l2, hi+k*u2 + # Outward rational rounding keeps later certificates compact. + return Q((lo*GRID).__floor__(), GRID), Q((hi*GRID).__ceil__(), GRID) + + +def exp_bounds(x): + require(0 <= x < 1, "exponential range") + term = total = Q(1) + for j in range(1, 13): + term *= x/j + total += term + tail = term*x/13/(1-x/14) + return total, total+tail + + +def moment(m, W, entries, saving): + lo = hi = Q(0) + for t, count in entries: + t, count = int(t), int(count) + require(0 < t < m and count > 0, "improper child") + l, u = log_bounds(Q(m, t)) + lower = exp_bounds(saving*l)[0] + upper = exp_bounds(saving*u)[1] + lo += Q(t*count, m*W)*lower + hi += Q(t*count, m*W)*upper + return Q((lo*GRID).__floor__(), GRID), Q((hi*GRID).__ceil__(), GRID) + diff --git a/research/pruned-trace-response/complex-global/vendor531/inputs/data-base/work/pr361/code/engines/moment.py b/research/pruned-trace-response/complex-global/vendor531/inputs/data-base/work/pr361/code/engines/moment.py new file mode 100644 index 0000000000..7d697cb452 --- /dev/null +++ b/research/pruned-trace-response/complex-global/vendor531/inputs/data-base/work/pr361/code/engines/moment.py @@ -0,0 +1,113 @@ +"""Independent prospective ordinary five-stage cost, never supplier admission. + +Consumes a raw one-invocation ledger made from the actual source/internal/target +paths. No packed profile is used as an input. Missing physical/finite/compiler +obligations must remain explicit in the accompanying report. +""" +from collections import Counter +from decimal import Decimal, localcontext, ROUND_FLOOR +from fractions import Fraction as F +from functools import lru_cache +from math import factorial +import hashlib, json, sys +from pathlib import Path + +DYAD = 1 << 224 + +def floor(x): return F(x.numerator*DYAD//x.denominator, DYAD) +def ceil(x): return -floor(-x) + +@lru_cache(None) +def logarithm(x): + """Mercator bounds after binary reduction; ln(2) via two Mercator sums. + + For 1 <= y < 2, log(y) is an alternating series in z=y-1. + We instead reduce to 1 <= y < 3/2, and bound log(3/2) and + log(2) by the same alternating series at z=1/2 and z=1/3, + using log(2)=log(3/2)+log(4/3). All sums are exact rationals. + """ + assert x >= 1 + k = 0 + while x >= 2: x /= 2; k += 1 + j = int(x >= F(3, 2)) + if j: x /= F(3, 2) + def mercator(y): + z=y-1 + assert 0 <= z <= F(1,2) + # An even partial sum is below log; the next term bounds its tail. + t=z; s=F(0) + for n in range(1, 225): + s += (t if n & 1 else -t)/n + t *= z + return s, s+t/225 + a,b=mercator(x); c,d=mercator(F(3,2)); e,f=mercator(F(4,3)) + return floor(a+(k+j)*c+k*e), ceil(b+(k+j)*d+k*f) + +def exponential(l,u): + assert 0 <= l <= u < F(1,10) + def poly(x): + s=t=F(1) + for j in range(1,25): t=t*x/j; s+=t + return s,t + lo,_=poly(l);hi,last=poly(u) + return floor(lo),ceil(hi+last*u/25/(1-u/26)) + +def moment(H,m,W,a,bad=False): + lo=hi=F(0) + for r,n in H.items(): + assert 0 < r < m and n > 0 + l,u=logarithm(F(m,r)); e,f=exponential(a*l,a*u) + p=F(r*n,m*W);lo+=p*e;hi+=p*f + if bad: + # Existing envelope shape, only conditionally portable to the new cover. + l,u=logarithm(F(m));e,f=exponential(a*l,a*u) + p=F(32*m*sum(H.values()),10**16*W) + lo+=p*e;hi+=p*f + return floor(lo),ceil(hi) + +def decimal(x): + with localcontext() as c: + c.prec=70 + return str(Decimal(x.numerator)/Decimal(x.denominator)) + +def certify(H,m,W,bad=False): + with localcontext() as c: + c.prec=70 + terms=[(Decimal(r*n)/Decimal(m*W),(Decimal(m)/Decimal(r)).ln()) for r,n in H.items()] + fallback=Decimal(32*m*sum(H.values()))/Decimal(10**16*W) if bad else Decimal(0) + lm=Decimal(m).ln();lo=Decimal(0);hi=Decimal('.003') + for _ in range(210): + a=(lo+hi)/2 + if sum(p*(a*l).exp() for p,l in terms)+fallback*(a*lm).exp()<1:lo=a + else:hi=a + q=int(((lo+hi)/2*10**24).to_integral_value(rounding=ROUND_FLOOR)) + lo=F(q,10**24);hi=lo+F(1,10**24) + lv=moment(H,m,W,lo,bad);hv=moment(H,m,W,hi,bad) + assert lv[1]<10 for v in slacks.values()),{k:str(v) for k,v in slacks.items() if v<=0} + assert min(margins.values())==minimum + assert margins['balanced_prefix']-minimum==eta and 1-eps-r==eta/2 + assert 1-eps*(1+c)==eta-eps*eta/4 + return dict(parameters=dict(a_bit=a,a_complex=b,tau=tau,sigma=sigma, + eta=eta,beta=beta,q=q,c=c,epsilon=eps,lambda_=lam, + lambda_prime=lp,alpha_squared_power=r,delta=delta, + C0=bridge['semantic']['C0'],C1=1,kappa=kappa), + strict_constraints=slacks,margins=margins,minimum_margin=minimum, + absorption_gap=minimum-kappa, + recurrence=dict(internal=internal,leaf=leaf,reservations=1-c)) diff --git a/research/pruned-trace-response/complex-global/vendor531/vendor/clifford/clifford_exact.py b/research/pruned-trace-response/complex-global/vendor531/vendor/clifford/clifford_exact.py new file mode 100644 index 0000000000..166841a037 --- /dev/null +++ b/research/pruned-trace-response/complex-global/vendor531/vendor/clifford/clifford_exact.py @@ -0,0 +1,149 @@ +"""Small exact Gaussian-dyadic Clifford compiler, independent of gx internals. +Paulis use i^p X^x Z^z. State vectors use integer Gaussian numerators / 2^d. +The tableau is supplemented by a literal circuit, so global phases are kept. +""" +from dataclasses import dataclass + +def parity(x):return x.bit_count()&1 +def rank(rows): + p={} + for x in rows: + while x: + b=x.bit_length()-1 + if b not in p:p[b]=x;break + x^=p[b] + return len(p) +def transpose(rows,n):return tuple(sum(((rows[j]>>i)&1)<>j&1);a[j],a[k]=a[k],a[j] + for i in range(n): + if i!=j and a[i]>>j&1:a[i]^=a[j] + assert [r&((1<>n for r in a) +def basis_extend(cols,n): + out=[] + for x in list(cols)+[1<len(out):out.append(x) + assert len(out)==n + return tuple(out) +def nullspace(rows,n): + a=list(rows);p=[];k=0 + for j in range(n): + t=next((i for i in range(k,len(a)) if a[i]>>j&1),None) + if t is None:continue + a[t],a[k]=a[k],a[t] + for i in range(len(a)): + if i!=k and a[i]>>j&1:a[i]^=a[k] + p.append(j);k+=1 + return tuple((1<>j)&1)<>i&1:out=pmul(out,T[i]) + for i in range(n): + if z>>i&1:out=pmul(out,T[n+i]) + return out +def compose(A,B):return tuple(apply(A,p) for p in B) +def inverse(T): + n=len(T)//2;cols=[x|(z<>n;u,v,p=apply(T,(x,z,0));assert (u,v)==identity(n)[j][:2];out.append((x,z,(-p)%4)) + return tuple(out) +def qvalue(Q,alpha,x,n): + return (sum(alpha[i] for i in range(n) if x>>i&1)+2*sum(parity((Q[i]>>(i+1))&(x>>(i+1))) for i in range(n) if x>>i&1))%4 +def mul_i(a,p): + x,y=a;p%=4 + return [(x,y),(-y,x),(-x,-y),(y,-x)][p] +@dataclass +class Op: + n:int + tab:tuple + circuit:list + def then(self,b): + assert self.n==b.n + return Op(self.n,compose(b.tab,self.tab),self.circuit+b.circuit) + def adjoint(self): + circ=[] + for e in reversed(self.circuit): + if e[0]=='P':circ.append(('P',inv(e[1],self.n))) + elif e[0]=='D':circ.append(('D',e[1],tuple((-x)%4 for x in e[2]))) + elif e[0]=='C':circ.append(('C',e[1],-e[2])) + elif e[0]=='phase':circ.append(('phase',(-e[1])%4)) + else:circ.append(e) + return Op(self.n,inverse(self.tab),circ) + def zero_state(self,basis=0): + N=1<>i)&1 for i in range(n)) + assert all(alpha[i]%2==(Q[i]>>i)&1 for i in range(n)) + return Op(n,tuple([(1<>i&1 else 0,1<>i&1 else 0) for i in range(n)]),[('C',q,sgn)]) +def xgate(n,b):return Op(n,tuple([(1<>i)&1)) for i in range(n)]),[('X',b)]) +def fourier(n,axes=None): + out=ident(n) + for i in range(n) if axes is None else axes:out=out.then(cgate(n,1<len(selected):picks.append(j);selected.append(x) + assert len(picks)==r and all(x>>r==0 for x in Bcols) + Br=transpose(selected,r);Bi=inv(Br,r);Dr=transpose([Dcols[j]&((1< 1 and a > 1) + receipts.append(dict(endpoint=str(endpoint), accept=accept, + mercator=[str(lo - 1), str(hi - 1)], + base_two=[str(a - 1), str(b - 1)])) + return receipts + + +cert = M.certify(P, m, W, True) +b, bp = Q(cert['lower']), Q(cert['upper']) +assert bp - b == Q(1, 10**24) +complex_receipts = two_moments(P, m, W, b) + +# These checks bind and reprice published bit data. They do not stand in for +# the physical-operator and mutable-source realization dependency. +assert sha(B) == BIT_EXPECTED_SHA256 +bit = json.loads(B.read_text())['nine'] +bitP = {int(rank): count for rank, count in bit['profile'].items()} +bit_inv = bit['bit'] +bm, bW = bit['m'], bit_inv['live'] +assert (bm, bW, bit['stages'], bit['replicas']) == (64, 30720, 9, 32) +assert sum(rank * count for rank, count in bitP.items()) == bit_inv['rank_mass'] +assert bm * bW - bit_inv['rank_mass'] == 9984 +assert max(bitP) == bit_inv['maxchild'] == 8 +assert bm * bm > 2 * 64 * max(bitP) +assert bit_inv['physical'] == bW + 9 == 30729 +assert bit_inv['hosted_residuals'] == 480 * 9 * 32 +assert bit_inv['bank_assignments'] == 0 +assert bit['nine_stage_payload_bits'] < 104 +assert bit_inv['prefix_bits'] < bit_inv['charged_prefix_bits'] == 256 +assert bit_inv['two_level_coefficient_bits'] < bit_inv['charged_two_level_coefficient_bits'] == 512 +assert bit_inv['row_coefficient'] < 20161 +c = Q(bit['bit_lower']) +assert c == Q(bit['bit_lower_decimal']) +bit_receipts = two_moments(bitP, bm, bW, c) + +eta = beta = grid = Q(1, 10**18) +s = min(c, (1 - beta) * b) - Q(1, 10**24) +assert 0 < s < c and s < (1 - beta) * b +coeff = bit_inv['charged_two_level_coefficient_bits'] +row = max(20161, bit_inv['row_coefficient'], inv['finite']['physical_row_coefficient']) +chain, cuts = [Q(384599, 10**10)], [] + + +def ceil(value): + return -(-value.numerator // value.denominator) + + +for _ in range(6): + old = chain[-1] + a = (1 - s) * s + s * old + gap = min(s - a, 1 - a - s, 1 - a - s * (1 - old), 1 - s) + assert old < a < s < 1 - a and gap > 0 + cut = max(ceil(36 / gap**2), ceil(2 * (4 + coeff) / gap)) + assert cut * gap**2 >= 36 and cut * gap >= 2 * (4 + coeff) + cuts.append(dict(gap=str(gap), cutoff_log2=str(cut))) + chain.append(a) +q = chain[-1] * (1 - 2 * eta) +margin = (1 - eta) * q / (1 + q) +ticks = margin / grid +kap = grid * ((ticks.numerator - 1) // ticks.denominator) +bridge = {'semantic': {'C0': {'base': 2, 'exponent': 210000}, 'strict_literal_gap': 1}, + 'rows': {'degree_gap': Q(10**6) - Q(51 * row, 25)}} +assembly = Outer.assembly(chain[-1], b, bridge, kap, eta=eta, beta=beta) +assert len(assembly['strict_constraints']) == 47 +assert all(value > 0 for value in assembly['strict_constraints'].values()) +controls = [] +for name, k, e, be in [('next_grid', kap + grid, eta, beta), + ('zero_eta', kap, Q(0), beta), + ('zero_beta', kap, eta, Q(0)), + ('unit_beta', kap, eta, Q(1))]: + try: + Outer.assembly(chain[-1], b, bridge, k, eta=e, beta=be) + except AssertionError: + controls.append(name) + else: + raise AssertionError(name) + +baselines = {'PR531': Q('0.001517760977820331'), + 'rejected_POST208_checkpoint': Q('0.001543640781718742'), + 'PR533': Q('0.001524207950793244')} +res = dict( + status='PASS_ASYNC_COMPLEX_AND_CITED_BIT_EXACT_ASSEMBLY', + complex_lower=str(b), complex_decimal=decimal(b, 24), + next_b_rejected=str(bp), exact_moment_receipts=complex_receipts, + bit_lower=str(c), bit_decimal=decimal(c, 24), + bit_exact_moment_receipts=bit_receipts, + bit_result_sha256=sha(B), + bit_dependency={'pull_request': 510, 'commit': BIT_COMMIT, + 'path': 'research/e8-r480-nine-stage', + 'expected_sha256': BIT_EXPECTED_SHA256}, + bit_prefix_bits=bit_inv['charged_prefix_bits'], + bit_charged_two_level_coefficient_bits=coeff, + external_row_allowance=row, + kappa=str(kap), kappa_decimal=decimal(kap, 18), + binding_component='bit' if c < (1 - beta) * b else 'complex', + improvements={name: {'baseline': str(value), + 'relative_gain': str(kap / value - 1), + 'percent_display': f'{float(100 * (kap / value - 1)):.8f}'} + for name, value in baselines.items()}, + strict_outer_constraints={k: str(v) for k, v in assembly['strict_constraints'].items()}, + outer_controls=controls, bootstrap=cuts, + complex_template_sha256=host['template_sha256'], + owner_audit_sha256=sha(O / 'OWNERS-AND-PROFILE.json'), + invoice_sha256=sha(O / 'PREFIX-AND-INVOICE.json'), + bit_scope='Pinned PR510 published profile and operator are cited dependencies. ' + 'Both exact moments are freshly repriced here; the unchanged physical ' + 'bit operator is not cold-reconstructed. See PR510-MUTABLE-SOURCE-CARRYOVER.md.', + scope='Conditional finite witness under the retained all-size compiler, ' + 'common-label/mutable-basis, whole-call hosting, restored-work, ' + 'precision/tape and analytic-transfer contracts. Fresh complex admission ' + 'and finite invoice are separately hash-bound; no unconditional theorem is claimed.') +(O / 'EXACT-ASSEMBLY.json').write_text(json.dumps(res, indent=2) + '\n') +print(res['status'], 'b', res['complex_decimal'], 'kappa', res['kappa_decimal']) +print(json.dumps(res['improvements'], sort_keys=True)) diff --git a/research/pruned-trace-response/complex-global/vendor535/inputs/PR510-EXPECTED.json b/research/pruned-trace-response/complex-global/vendor535/inputs/PR510-EXPECTED.json new file mode 100644 index 0000000000..9e5d366963 --- /dev/null +++ b/research/pruned-trace-response/complex-global/vendor535/inputs/PR510-EXPECTED.json @@ -0,0 +1,102 @@ +{ + "nine": { + "bit_lower": "396861776523137034277/250000000000000000000000", + "bit_lower_decimal": "0.001587447106092548137108", + "profile": { + "1": 345600, + "2": 430080, + "4": 67200, + "6": 49920, + "7": 23040, + "8": 2592 + }, + "bit": { + "live": 30720, + "physical": 30729, + "maxchild": 8, + "rank_mass": 1956096, + "hosted_residuals": 138240, + "bank_assignments": 0, + "prefix_bits": 193, + "charged_prefix_bits": 256, + "coefficient_bits": 193, + "two_level_coefficient_bits": 425, + "charged_two_level_coefficient_bits": 512, + "row_coefficient": 18355, + "halving_depth": 2 + }, + "kappa": { + "pr484": { + "kappa": "662515748707749/500000000000000000", + "kappa_decimal": "0.001325031497415498", + "binding_component": "complex", + "complex_lower": "663394767670133/500000000000000000" + }, + "pr471": { + "kappa": "260706019542937/200000000000000000", + "kappa_decimal": "0.001303530097714685", + "binding_component": "complex", + "complex_lower": "1305231506267591/1000000000000000000" + }, + "pr458": { + "kappa": "323880830669511/250000000000000000", + "kappa_decimal": "0.001295523322678044", + "binding_component": "complex", + "complex_lower": "1297203880559577927527/1000000000000000000000000" + } + }, + "nine_stage_payload_bits": 102, + "stages": 9, + "replicas": 32, + "m": 64 + }, + "parent_r480": { + "pr": 503, + "bit_lower": "393688338238452162729/250000000000000000000000", + "bit_lower_decimal": "0.001574753352953808650916", + "stages": 11 + }, + "parent_r489": { + "pr": 493, + "bit_lower": "391360506745414227149/250000000000000000000000", + "bit_lower_decimal": "0.001565442026981656908596", + "stages": 11 + }, + "findings": { + "lp_helpers_per_4frame": 16, + "lp_total": 480, + "levels": { + "1": { + "frames": 120, + "helper_visits": 240 + }, + "2": { + "frames": 180, + "helper_visits": 480 + }, + "4": { + "frames": 60, + "helper_visits": 360 + }, + "6": { + "frames": 180, + "helper_visits": 480 + }, + "7": { + "frames": 120, + "helper_visits": 240 + } + }, + "cells": { + "2,2,0": 60, + "3,0,0": 120 + }, + "d6": { + "2,1,2": 60, + "3,0,0": 120 + }, + "pivots_max": 0, + "line_classes": 120, + "class_nullity": 0 + } +} diff --git a/research/pruned-trace-response/complex-global/vendor535/inputs/ROUND20-PARENT-TEMPLATE.json.gz 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producer/checker imports. Counts are inputs, not proved by this script. +80-term rational logarithms and 12-term exponentials independently enclose +the two moments. The accompanying written review addresses their realization. +""" +import argparse +from fractions import Fraction as Q +from hashlib import sha256 +import json +from pathlib import Path + +ROOT = Path(__file__).resolve().parents[1] +GRID = 10**30 + + +def require(condition, message): + if not condition: + raise ValueError(message) + + +def log_unit(x): + require(1 <= x <= 2, "logarithm range") + z = (x-1)/(x+1) + lo = 2*sum((z**(2*j+1)/(2*j+1) for j in range(80)), Q(0)) + return lo, lo+2*z**161/(161*(1-z*z)) + + +def log_bounds(x): + k = 0 + while x > 2: + x /= 2 + k += 1 + lo, hi = log_unit(x) + l2, u2 = log_unit(Q(2)) + lo, hi = lo+k*l2, hi+k*u2 + # Outward rational rounding keeps later certificates compact. + return Q((lo*GRID).__floor__(), GRID), Q((hi*GRID).__ceil__(), GRID) + + +def exp_bounds(x): + require(0 <= x < 1, "exponential range") + term = total = Q(1) + for j in range(1, 13): + term *= x/j + total += term + tail = term*x/13/(1-x/14) + return total, total+tail + + +def moment(m, W, entries, saving): + lo = hi = Q(0) + for t, count in entries: + t, count = int(t), int(count) + require(0 < t < m and count > 0, "improper child") + l, u = log_bounds(Q(m, t)) + lower = exp_bounds(saving*l)[0] + upper = exp_bounds(saving*u)[1] + lo += Q(t*count, m*W)*lower + hi += Q(t*count, m*W)*upper + return Q((lo*GRID).__floor__(), GRID), Q((hi*GRID).__ceil__(), GRID) + diff --git a/research/pruned-trace-response/vendor/e8-bit-carrier-skeleton/code/hub/e8-r740-replica32/code/engines/moment.py b/research/pruned-trace-response/vendor/e8-bit-carrier-skeleton/code/hub/e8-r740-replica32/code/engines/moment.py new file mode 100644 index 0000000000..7d697cb452 --- /dev/null +++ b/research/pruned-trace-response/vendor/e8-bit-carrier-skeleton/code/hub/e8-r740-replica32/code/engines/moment.py @@ -0,0 +1,113 @@ +"""Independent prospective ordinary five-stage cost, never supplier admission. + +Consumes a raw one-invocation ledger made from the actual source/internal/target +paths. No packed profile is used as an input. Missing physical/finite/compiler +obligations must remain explicit in the accompanying report. +""" +from collections import Counter +from decimal import Decimal, localcontext, ROUND_FLOOR +from fractions import Fraction as F +from functools import lru_cache +from math import factorial +import hashlib, json, sys +from pathlib import Path + +DYAD = 1 << 224 + +def floor(x): return F(x.numerator*DYAD//x.denominator, DYAD) +def ceil(x): return -floor(-x) + +@lru_cache(None) +def logarithm(x): + """Mercator bounds after binary reduction; ln(2) via two Mercator sums. + + For 1 <= y < 2, log(y) is an alternating series in z=y-1. + We instead reduce to 1 <= y < 3/2, and bound log(3/2) and + log(2) by the same alternating series at z=1/2 and z=1/3, + using log(2)=log(3/2)+log(4/3). All sums are exact rationals. + """ + assert x >= 1 + k = 0 + while x >= 2: x /= 2; k += 1 + j = int(x >= F(3, 2)) + if j: x /= F(3, 2) + def mercator(y): + z=y-1 + assert 0 <= z <= F(1,2) + # An even partial sum is below log; the next term bounds its tail. + t=z; s=F(0) + for n in range(1, 225): + s += (t if n & 1 else -t)/n + t *= z + return s, s+t/225 + a,b=mercator(x); c,d=mercator(F(3,2)); e,f=mercator(F(4,3)) + return floor(a+(k+j)*c+k*e), ceil(b+(k+j)*d+k*f) + +def exponential(l,u): + assert 0 <= l <= u < F(1,10) + def poly(x): + s=t=F(1) + for j in range(1,25): t=t*x/j; s+=t + return s,t + lo,_=poly(l);hi,last=poly(u) + return floor(lo),ceil(hi+last*u/25/(1-u/26)) + +def moment(H,m,W,a,bad=False): + lo=hi=F(0) + for r,n in H.items(): + assert 0 < r < m and n > 0 + l,u=logarithm(F(m,r)); e,f=exponential(a*l,a*u) + p=F(r*n,m*W);lo+=p*e;hi+=p*f + if bad: + # Existing envelope shape, only conditionally portable to the new cover. + l,u=logarithm(F(m));e,f=exponential(a*l,a*u) + p=F(32*m*sum(H.values()),10**16*W) + lo+=p*e;hi+=p*f + return floor(lo),ceil(hi) + +def decimal(x): + with localcontext() as c: + c.prec=70 + return str(Decimal(x.numerator)/Decimal(x.denominator)) + +def certify(H,m,W,bad=False): + with localcontext() as c: + c.prec=70 + terms=[(Decimal(r*n)/Decimal(m*W),(Decimal(m)/Decimal(r)).ln()) for r,n in H.items()] + fallback=Decimal(32*m*sum(H.values()))/Decimal(10**16*W) if bad else Decimal(0) + lm=Decimal(m).ln();lo=Decimal(0);hi=Decimal('.003') + for _ in range(210): + a=(lo+hi)/2 + if sum(p*(a*l).exp() for p,l in terms)+fallback*(a*lm).exp()<1:lo=a + else:hi=a + q=int(((lo+hi)/2*10**24).to_integral_value(rounding=ROUND_FLOOR)) + lo=F(q,10**24);hi=lo+F(1,10**24) + lv=moment(H,m,W,lo,bad);hv=moment(H,m,W,hi,bad) + assert lv[1]<10 for v in slacks.values()),{k:str(v) for k,v in slacks.items() if v<=0} + assert min(margins.values())==minimum + assert margins['balanced_prefix']-minimum==eta and 1-eps-r==eta/2 + assert 1-eps*(1+c)==eta-eps*eta/4 + return dict(parameters=dict(a_bit=a,a_complex=b,tau=tau,sigma=sigma, + eta=eta,beta=beta,q=q,c=c,epsilon=eps,lambda_=lam, + lambda_prime=lp,alpha_squared_power=r,delta=delta, + C0=bridge['semantic']['C0'],C1=1,kappa=kappa), + strict_constraints=slacks,margins=margins,minimum_margin=minimum, + absorption_gap=minimum-kappa, + recurrence=dict(internal=internal,leaf=leaf,reservations=1-c)) diff --git a/research/pruned-trace-response/vendor/e8-bit-carrier-skeleton/code/hub/e8-r740-replica32/code/tile_m.py b/research/pruned-trace-response/vendor/e8-bit-carrier-skeleton/code/hub/e8-r740-replica32/code/tile_m.py new file mode 100644 index 0000000000..cd5fd9b539 --- /dev/null +++ b/research/pruned-trace-response/vendor/e8-bit-carrier-skeleton/code/hub/e8-r740-replica32/code/tile_m.py @@ -0,0 +1,93 @@ +"""Residual census (8 - sigma per helper) and an exact zero-padding bank tiling of width m = (2K+1)h with T replicas: +tile() and economy_tile() verbatim from our PR #329 bank_template.py (via code/tile.py of our dtst3 package). +usage: tile_m.py WORD.json.gz M [replicas] (replicas default: the least T with T x residual sum = 0 mod M that tiles)""" +import sys,os,collections +from collections import Counter +sys.path.insert(0,os.path.dirname(os.path.abspath(__file__))) +from e8core import * +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)) + + +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) +if __name__ == '__main__': + c = load_word(sys.argv[1]); m = int(sys.argv[2]) + L = Lat(c['lines']); M = to_masks(c, L); v = c['v']; n = 2 * v + c['R'] + res = Counter(8 - L.dim(M[c['start'][r]]) for r in range(2 * v, n)); tot = sum(k * x for k, x in res.items()) + reps = [int(sys.argv[3])] if len(sys.argv) > 3 else [t for t in range(1, 200) if t * tot % m == 0] + for T in reps: + try: pat = tile({r: T * k for r, k in res.items() if r > 0}, m); break + except AssertionError: pat = None + assert pat, 'no tiling' + print(' residual census', dict(sorted(res.items())), 'sum', tot) + print(' PASS exact width-%d tiling with %d replicas: %d banks' % (m, T, sum(k for _, k in pat)), pat) diff --git a/research/pruned-trace-response/vendor/e8-bit-carrier-skeleton/code/hub/e8-r740-replica32/data/residual-isometries.json b/research/pruned-trace-response/vendor/e8-bit-carrier-skeleton/code/hub/e8-r740-replica32/data/residual-isometries.json new file mode 100644 index 0000000000..9b8b35cb15 --- /dev/null +++ b/research/pruned-trace-response/vendor/e8-bit-carrier-skeleton/code/hub/e8-r740-replica32/data/residual-isometries.json @@ -0,0 +1,1974 @@ +[ + { + "frame": 0, + "entrance_rank": 0, + "denominator": 2, + "entrance_basis": [], + "residual_basis": [ + 0, + 1, + 2, + 3, + 4, + 5, + 6, + 7 + ], + "orthogonal_rows_numerator": [ + [ + 2, + 0, + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 2, + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 2, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 2, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, 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