code wiki / _hdl_build / nx_pendulum_gate.nx

nx_pendulum_gate.nx

buildroot/runtime/_hdl_build/nx_pendulum_gate.nx

5366 B72 linesdepth 4pulls 5 transitivereach 0 importersview sourcekind gate/prooftopic pendulum
docsdependenciesstructsconstsfunctions

about

nx_pendulum_gate.nx -- NATIVE verify of the browser pendulum (base = mmap; SAME code runs in sovereign WASM). Measures the EMERGENT period from integrating the true nonlinear pendulum and validates the real, experimentally established laws: (a) Galileo's T proportional to sqrt(L) [T(4L)/T(L)=2], (b) small-amplitude ISOCHRONISM [period ~ independent of amplitude], (c) large-amplitude period GROWTH [+~18% at 90 deg, the exact-pendulum value (2/pi)K(sin45)=1.18]. Liar-kill: the LINEAR approximation (-k theta) stays isochronous at 90 deg (no growth) -- so the growth test distinguishes real nonlinear pendulum physics from the textbook linearization. license_tier: ORIGINAL expect_exit: 0

dependencies 3 imports · 0 importers

nx_syscalls.nx nx_pendulum.nx nx_png.nx nx_pendulum_gate.nx

imports: nx_syscalls.nxnx_pendulum.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 measure_period step_one_impl sin_fixed iabs init_impl tick_impl init_impl ↻ step_one_impl ↻ record_trail sin_fixed ↻ cos_fixed sin_fixed ↻ render_impl clear_fb rgb sin_fixed ↻ cos_fixed ↻ putpx disc putpx ↻ line 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 dfe_sym

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 1: main
18func measure_period(base: i64, gln: i64, amp: i64, lin: i64) -> i64
called by 1: main calls 1: step_one_impl
32func main() -> i64