code wiki / _hdl_build / nx_research_trig_gate.nx
nx_research_trig_gate.nx
buildroot/runtime/_hdl_build/nx_research_trig_gate.nx
about
nx_research_trig_gate.nx -- sovereign fixed-point trigonometry (sin/cos), the trig counterpart to isqrt and the
missing piece for NONLINEAR dynamics (pendulum a=-sin(theta)). Method: range-reduce the angle to [0, pi/2] via
the standard symmetries, then a Taylor series sin(x)=x - x^3/3! + x^5/5! - ... ; cos(x)=sin(x+pi/2). Verified
against exact known values AND the Pythagorean identity sin^2+cos^2=1 (the self-check). Fixed-point scale
SC=1e6 (1.0 == 1000000); angles in scaled radians. No float, deterministic. GREEN iff 6/6. license_tier: ORIGINAL
dependencies 1 imports · 0 importers
imports: nx_syscalls.nx
imported by: nobody (leaf or entry point)
call flow from main pre-order; caps 40 nodes / depth 6 declared; ↻ = already shown
structs
| none |
consts
| none |
functions
| 8 | func 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 } |
| 9 | func 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 } |
| 10 | func 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 } |
| 11 | func iabs(x: i64) -> i64 { if x<0 { return 0-x } return x } |
| 14 | func sin_fixed(Xin: i64, SC: i64) -> i64 |
| 26 | func cos_fixed(X: i64, SC: i64) -> i64 { return sin_fixed(X+1570796, SC) } |
| 27 | func near(a: i64, b: i64, tol: i64) -> i64 { if iabs(a-b)<=tol { return 1 } return 0 } |
| 29 | func main() -> i64 |