code wiki / _hdl_build / nx_chaos_gate.nx

nx_chaos_gate.nx

buildroot/runtime/_hdl_build/nx_chaos_gate.nx

5395 B65 linesdepth 4pulls 5 transitivereach 0 importersview sourcekind gate/prooftopic chaos
docsdependenciesstructsconstsfunctions

about

nx_chaos_gate.nx -- NATIVE verify of the browser chaos sim (base = mmap; SAME code runs in sovereign WASM). The logistic map x'=r x(1-x) across regimes: (a) FIXED POINT at r=2.5 -> x*=1-1/r=0.6, (b) PERIOD-2 at r=3.2 (orbit alternates between two values), (c) CHAOS at r=3.9 (wide aperiodic spread), (d) SENSITIVE DEPENDENCE -- two starts one unit apart diverge hugely at r=3.9. The headline: (e) DETERMINISM -- the SAME (x0,r) run twice gives the BIT-EXACT same chaotic sequence; integer/no-float chaos is reproducible exactly where IEEE-754 float chaos diverges machine-to-machine = the live face of the Reproducibility EXCEEDS. Liar-kill: at r=2.5 the two nearby starts CONVERGE (no divergence) -- chaos is genuinely r-dependent, not faked. license_tier: ORIGINAL expect_exit: 0

dependencies 3 imports · 0 importers

nx_syscalls.nx nx_chaos.nx nx_png.nx nx_chaos_gate.nx

imports: nx_syscalls.nxnx_chaos.nxnx_png.nx

imported by: nobody (leaf or entry point)

call flow from main pre-order; caps 40 nodes / depth 6 declared; ↻ = already shown

main sys_mmap g_w sys_write iterate_n logistic logistic ↻ iabs spread logistic ↻ diff_after logistic ↻ iabs ↻ g_n g_w ↻ sys_mmap ↻ sys_write ↻ init_impl tick_impl init_impl ↻ step_one_impl logistic ↻ render_impl clear_fb rgb disc putpx write_png sys_mmap ↻ png_g png_paeth png_sabs dfe_compress sys_mmap ↻ dfe_fill_tables dfe_deflate sys_mmap ↻ dfe_bits dfe_hash dfe_matchlen

structs

none

consts

none

functions

12func g_w(s: *u8) -> i64 { var n: i64=0; while s[n]!=(0 as u8){n=n+1} sys_write(1,s,n); return 0 }
called by 3: g_ng_rowmain calls 1: sys_write
13func g_n(v: i64) -> i64 { var m: i64=v; if m<0{g_w("-");m=0-m} let t:*u8=sys_mmap(24); var k:i64=0; if m==0{t[0]=48 as u8;k=1}; while m>0{t[k]=(48+(m%10)) as u8;m=m/10;k=k+1}; var i:i64=0; let o:*u8=sys_mmap(24); while i<k{o[i]=t[k-1-i];i=i+1}; sys_write(1,o,k); return 0 }
called by 1: main calls 3: g_wsys_mmapsys_write
14func g_row(id: *u8, ok: i64, pass: *i64) -> i64 { g_w(" "); g_w(id); g_w(": "); if ok==1 { g_w("OK\n"); pass[0]=pass[0]+1 } else { g_w("FAIL\n") } return 0 }
called by 1: main calls 1: g_w
15func iabs(x: i64) -> i64 { if x<0 { return 0-x } return x }
called by 2: diff_aftermain
17func iterate_n(x0: i64, R: i64, n: i64) -> i64 { var x: i64=x0; var i: i64=0; while i<n { x=logistic(x,R); i=i+1 } return x }
called by 1: main calls 1: logistic
18func diff_after(R: i64, a0: i64, b0: i64, n: i64) -> i64 { var a: i64=a0; var b: i64=b0; var i: i64=0; while i<n { a=logistic(a,R); b=logistic(b,R); i=i+1 } return iabs(a-b) }
called by 1: main calls 2: logisticiabs
19func spread(R: i64, trans: i64, samp: i64) -> i64
called by 1: main calls 1: logistic
25func main() -> i64
calls 17: sys_mmapg_witerate_nlogisticiabsspread+11