code wiki / _hdl_build / nx_geo_s2_gate.nx
nx_geo_s2_gate.nx
buildroot/runtime/_hdl_build/nx_geo_s2_gate.nx
about
nx_geo_s2_gate.nx -- GATE for GEO-005 Hilbert (S2-class) cell index, on an 8x8 grid (k=3, 64 cells).
Proves correctness AND the measured locality exceed over geohash's Z-order:
bijection : Hilbert xy2d hits all 64 distinct indices [0,63] exactly once
roundtrip : d2xy(xy2d(x,y)) == (x,y) for all cells
continuity : max Manhattan step between CONSECUTIVE Hilbert indices == 1 (the defining property)
exceed : Z-order's max consecutive step == 8 (= grid width N) -- it TEARS; Hilbert (1) wins
Evidence -> knowledge/status/geo_s2.log (GEOS2GATE authored=organ ... verdict=GREEN).
license_tier: ORIGINAL
dependencies 2 imports · 0 importers
imports: nx_geo_s2.nxnx_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
| 13 | const GS2_LOG: *u8 = "knowledge/status/geo_s2.log" |
functions
| 15 | func g2_w(fd: i64, s: *u8) -> i64 { var n: i64 = 0; while s[n] != (0 as u8) { n = n + 1 } sys_write(fd, s, n); return 0 } |
| 16 | func g2_wn(fd: i64, v: i64) -> i64 { let bb: *u8 = sys_mmap(28); var m: i64=v; if m<0 {m=0-m; sys_write(fd,"-" as *u8,1)}; let t: *u8 = sys_mmap(28); var k: i64=0; if m==0 {t[0]=48;k=1}; while m>0 {t[k]=(48+(m%10)) as u8; m=m/10; k=k+1}; var i: i64=0; while i<k {bb[i]=t[k-1-i]; i=i+1}; sys_write(fd, bb, k); return 0 } |
| 17 | func g2_abs(x: i64) -> i64 { if x < 0 { return 0 - x } return x } called by 1: main |
| 19 | func g2_emit(fd: i64, cnt: i64, rt: i64, hmax: i64, zmax: i64, ok: i64) -> i64 |
| 28 | func main() -> i64 |