code wiki / _hdl_build / nx_nofloat_generalize_gate.nx
nx_nofloat_generalize_gate.nx source
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1// nx_nofloat_generalize_gate.nx -- HELD-OUT RULE GENERALIZATION in pure integer Q16 (CAP-NF-GENERALIZE). The
2// real test of learning vs memorization: train the no-float char-LM on a periodic sequence "abcabc..." (it must
3// learn the first-order RULE a->b, b->c, c->a), then evaluate on data it NEVER trained on:
4// T1 a HELD-OUT string "cabcab..." (SAME rule, DIFFERENT string) -> high next-char accuracy (>> chance 1/3).
5// Succeeding on a SHIFTED string proves the model learned the CHAR-rule, not position-by-position memorization.
6// T2 (teeth) a CONTROL "acbacb..." (DIFFERENT rule a->c,c->b,b->a) -> ~chance accuracy. Proves the model applies
7// the SPECIFIC learned rule (it is not outputting constants or trivially-correct).
8// Lean (nx_cc .s ceiling): exactly 2 clm_fwd call sites -- do_train (helper) + eval_acc (helper, called twice).
9// HONEST: first-order periodic rule on a tiny task = a real but modest generalization (not deep in-context learning).
10// Sovereign: nx_nofloat_autograd + nx_syscalls. expect_exit: 0
11import "nx_nofloat_autograd.nx"
12import "nx_g_puts_lib.nx"
13import "nx_syscalls.nx"
14const Q16: i64 = 65536
15
16func g_pn(v: i64) -> i64 { let b: *u8=sys_mmap(28); var x: i64=v; if x<0{b[0]=45;sys_write(1,b,1);x=0-x} if x==0{b[0]=48;sys_write(1,b,1);return 0} var d: i64=0; var y: i64=x; while y>0{d=d+1;y=y/10} var i: i64=d-1; y=x; while i>=0{b[i]=(48+(y%10)) as u8;y=y/10;i=i-1} sys_write(1,b,d); return 0 }
17func slen(s: *u8) -> i64 { var n: i64=0; while s[n]!=(0 as u8){n=n+1} return n }
18func dini(a: *i64, n: i64, sd: i64) -> i64 { var i: i64=0; while i<n { a[i]=(((i*7+sd*13+1)%11)-5)*13107; i=i+1 } return 0 }
19func amx(tape: *i64, vals: *i64, logn: i64, r: i64, V: i64) -> i64 { let o: i64=tape[7*logn+5]; var b: i64=0; var bv: i64=vals[o+r*V]; var j: i64=1; while j<V { if vals[o+r*V+j]>bv { bv=vals[o+r*V+j]; b=j } j=j+1 } return b }
20
21func clm_fwd(tape: *i64, vals: *i64, st: *i64, W: *i64, ids: *i64, tgt: *i64, T: i64, dm: i64, V: i64, scale: i64, leaves: *i64) -> i64 {
22 let E: *i64=W[0] as *i64; let Wq: *i64=W[1] as *i64; let Wk: *i64=W[2] as *i64; let Wv: *i64=W[3] as *i64; let Wo: *i64=W[4] as *i64; let Wlm: *i64=W[5] as *i64
23 st[0]=0; st[1]=0
24 let nE: i64=nfa_leaf(tape,vals,st,V,dm,E,0)
25 let nWq: i64=nfa_leaf(tape,vals,st,dm,dm,Wq,0)
26 let nWk: i64=nfa_leaf(tape,vals,st,dm,dm,Wk,0)
27 let nWv: i64=nfa_leaf(tape,vals,st,dm,dm,Wv,0)
28 let nWo: i64=nfa_leaf(tape,vals,st,dm,dm,Wo,0)
29 let nWlm: i64=nfa_leaf(tape,vals,st,dm,V,Wlm,0)
30 let nX: i64=nfa_embed(tape,vals,st,nE,ids,T)
31 let nXn: i64=nfa_rmsnorm_rows(tape,vals,st,nX)
32 let nQ: i64=nfa_matmul(tape,vals,st,nXn,nWq)
33 let nK: i64=nfa_matmul(tape,vals,st,nXn,nWk)
34 let nV: i64=nfa_matmul(tape,vals,st,nXn,nWv)
35 let nQr: i64=nfa_rope(tape,vals,st,nQ)
36 let nKr: i64=nfa_rope(tape,vals,st,nK)
37 let nS: i64=nfa_matmul_nt(tape,vals,st,nQr,nKr)
38 let nSs: i64=nfa_cmul(tape,vals,st,nS,scale)
39 let nA: i64=nfa_softmax_rows(tape,vals,st,nSs,1)
40 let nO: i64=nfa_matmul(tape,vals,st,nA,nV)
41 let nOp: i64=nfa_matmul(tape,vals,st,nO,nWo)
42 let nH: i64=nfa_vadd(tape,vals,st,nX,nOp)
43 let nHn: i64=nfa_rmsnorm_rows(tape,vals,st,nH)
44 let nLg: i64=nfa_matmul(tape,vals,st,nHn,nWlm)
45 let nLoss: i64=nfa_softce_rows(tape,vals,st,nLg,tgt)
46 leaves[0]=nE; leaves[1]=nWq; leaves[2]=nWk; leaves[3]=nWv; leaves[4]=nWo; leaves[5]=nWlm; leaves[6]=nLg
47 return nLoss
48}
49func step_all(tape: *i64, grads: *i64, W: *i64, WN: *i64, leaves: *i64, nW: i64, lr: i64, clip: i64, gb: *i64) -> i64 {
50 var i: i64=0
51 while i<nW { let ar: *i64=W[i] as *i64; let cn: i64=WN[i]; let nd: i64=leaves[i]; var c: i64=0; while c<cn { var g: i64=nfa_grad(tape,grads,nd,c); if g>clip{g=clip} if g<0-clip{g=0-clip} gb[c]=g; c=c+1 } nfa_sgd(ar,gb,cn,lr); i=i+1 }
52 return 0
53}
54// call site 1: train all weights on (ids,tgt) for `steps`
55func do_train(tape: *i64, vals: *i64, grads: *i64, st: *i64, W: *i64, WN: *i64, ids: *i64, tgt: *i64, T: i64, dm: i64, V: i64, scale: i64, leaves: *i64, gb: *i64, steps: i64) -> i64 {
56 var ep: i64=0
57 while ep < steps { let nl: i64=clm_fwd(tape,vals,st,W,ids,tgt,T,dm,V,scale,leaves); nfa_backward(tape,vals,grads,st[0],nl); step_all(tape,grads,W,WN,leaves,6,6554,262144,gb); ep=ep+1 }
58 return 0
59}
60// call site 2: next-char accuracy of the trained model on a sequence (predict pos 0..T-1 -> compare to ids2[pos+1])
61func eval_acc(tape: *i64, vals: *i64, st: *i64, W: *i64, ids2: *i64, T: i64, dm: i64, V: i64, scale: i64, leaves: *i64) -> i64 {
62 let nl: i64=clm_fwd(tape,vals,st,W,ids2,ids2,T,dm,V,scale,leaves)
63 var ok: i64=0; var p: i64=0
64 while p<T { if amx(tape,vals,leaves[6],p,V)==ids2[p+1] { ok=ok+1 } p=p+1 }
65 return ok
66}
67
68func main() -> i64 {
69 g_puts("nx_nofloat_generalize gate (HELD-OUT rule generalization, pure integer Q16)\n" as *u8)
70 let train: *u8 = "abcabcabcabcabcabc" as *u8 // learn rule a->b, b->c, c->a
71 let heldout:*u8 = "cabcabcabcabcabcab" as *u8 // SAME rule, DIFFERENT string (never trained)
72 let control:*u8 = "acbacbacbacbacbacb" as *u8 // DIFFERENT rule a->c, c->b, b->a (teeth)
73 let L: i64 = slen(train)
74 // shared char->id map built from train (a=0,b=1,c=2)
75 let c2i: *i64 = sys_mmap(256*8) as *i64
76 var iz: i64=0; while iz<256 { c2i[iz]=0-1; iz=iz+1 }
77 var V: i64=0; var pz: i64=0
78 while pz<L { let ch: i64=train[pz] as i64; if c2i[ch]<0 { c2i[ch]=V; V=V+1 } pz=pz+1 }
79 let s_tr: *i64 = sys_mmap(L*8) as *i64; let s_ho: *i64 = sys_mmap(L*8) as *i64; let s_ct: *i64 = sys_mmap(L*8) as *i64
80 pz=0; while pz<L { s_tr[pz]=c2i[train[pz] as i64]; s_ho[pz]=c2i[heldout[pz] as i64]; s_ct[pz]=c2i[control[pz] as i64]; pz=pz+1 }
81 let T: i64 = L-1
82 g_puts(" train=\"" as *u8); g_puts(train); g_puts("\" heldout=\"" as *u8); g_puts(heldout); g_puts("\" control=\"" as *u8); g_puts(control); g_puts("\" V=" as *u8); g_pn(V); g_puts("\n" as *u8)
83
84 let dm: i64=16; let scale: i64=16384
85 let tape: *i64 = sys_mmap(512*7*8) as *i64
86 let vals: *i64 = sys_mmap(65536*8) as *i64
87 let grads: *i64 = sys_mmap(65536*8) as *i64
88 let st: *i64 = sys_mmap(2*8) as *i64
89 let nW: i64=6
90 let W: *i64 = sys_mmap(nW*8) as *i64
91 let WN: *i64 = sys_mmap(nW*8) as *i64
92 WN[0]=V*dm; WN[1]=dm*dm; WN[2]=dm*dm; WN[3]=dm*dm; WN[4]=dm*dm; WN[5]=dm*V
93 var wi: i64=0
94 while wi<nW { let a: *i64=sys_mmap(WN[wi]*8) as *i64; dini(a,WN[wi],wi+1); W[wi]=a as i64; wi=wi+1 }
95 let leaves: *i64 = sys_mmap(8*8) as *i64
96 let gbuf: *i64 = sys_mmap(4096*8) as *i64
97
98 do_train(tape,vals,grads,st,W,WN,s_tr,((s_tr as i64)+8) as *i64,T,dm,V,scale,leaves,gbuf,25000)
99 let ho: i64 = eval_acc(tape,vals,st,W,s_ho,T,dm,V,scale,leaves)
100 let ct: i64 = eval_acc(tape,vals,st,W,s_ct,T,dm,V,scale,leaves)
101 g_puts(" [measure] held-out(same rule) acc=" as *u8); g_pn(ho); g_puts("/" as *u8); g_pn(T); g_puts(" control(diff rule) acc=" as *u8); g_pn(ct); g_puts("/" as *u8); g_pn(T); g_puts(" (chance~" as *u8); g_pn(T/V); g_puts(")\n" as *u8)
102
103 // chance = T/V (~29% for V=3). Deterministic training -> ho/ct are stable run-to-run.
104 var pass: i64=0; var total: i64=2
105 var t1: i64=0; if ho*2 >= T { t1=1 } // held-out >= 50% (>> ~29% chance) = generalizes above chance
106 if t1==1 { g_puts(" PASS T1 held-out generalization: same-rule string predicted well above chance (learned the rule, not positions)\n" as *u8); pass=pass+1 } else { g_puts(" FAIL T1\n" as *u8) }
107 var t2: i64=0; if ho >= ct+3 { t2=1 } // held-out clearly beats wrong-rule control = rule-SPECIFIC transfer (teeth)
108 if t2==1 { g_puts(" PASS T2 rule-specific: held-out (same rule) clearly beats the wrong-rule control (it transfers THE learned rule)\n" as *u8); pass=pass+1 } else { g_puts(" FAIL T2\n" as *u8) }
109
110 let logf: i64 = sys_openat_append("knowledge/status/nofloat_generalize.log" as *u8, 420)
111 if logf >= 0 { let w0: i64=sys_write(logf,"NOFLOATGENERALIZE heldout/control measured\n" as *u8,42); sys_close(logf) }
112 g_puts("---- generalize gate: passed " as *u8); g_pn(pass); g_puts(" / " as *u8); g_pn(total); g_puts(" ----\n" as *u8)
113 if pass==total { g_puts("verdict=GREEN (held-out rule generalization: learns the rule, predicts unseen same-rule data, fails wrong-rule control)\n" as *u8); sys_exit(0); return 0 }
114 g_puts("verdict=RED\n" as *u8); sys_exit(1); return 1
115}