code wiki / _hdl_build / nx_chaos_gate.nx

nx_chaos_gate.nx

buildroot/runtime/_hdl_build/nx_chaos_gate.nx

8150 B107 linesdepth 4pulls 6 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 4 imports · 0 importers

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

imports: nx_syscalls.nxnx_chaos.nxnx_png.nxnx_gate_verdict.nx

imported by: nobody (leaf or entry point)

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

main gv_ctr sys_mmap nxa_die sys_write sys_exit nxa_lock_take nxa_lock_addr sys_write ↻ nxa_lock_give nxa_lock_addr ↻ nxa_report_overrun sys_write ↻ nxa_dump_printable sys_write ↻ nxa_dump_sizes sys_write ↻ g_w sys_write ↻ sys_mmap ↻ 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

structs

none

consts

none

functions

13func 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 2: g_nmain calls 1: sys_write
14func 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
20func g_row(id: *u8, ok: i64, ctr: *i64) -> i64 { return gv_check(id, ok, ctr) }
called by 1: main calls 1: gv_check
21func iabs(x: i64) -> i64 { if x<0 { return 0-x } return x }
called by 2: diff_aftermain
23func 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
24func 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
25func spread(R: i64, trans: i64, samp: i64) -> i64
called by 1: main calls 1: logistic
31func main() -> i64
calls 20: gv_ctrg_wsys_mmapiterate_nlogisticiabs+14