code wiki / _hdl_build / _bf_atan_gate_authored.nx
_bf_atan_gate_authored.nx
buildroot/runtime/_hdl_build/_bf_atan_gate_authored.nx
about
_bf_atan_gate_authored.nx -- self-anchor gate for the SOVEREIGN bigfloat atan
oracle (nx_bigfloat120_atan). No external oracle anywhere:
1. MACHIN: 16*atan01(1/5) - 4*atan01(1/239) through the GENERAL reduction
path must reproduce bf_pi to < 2^-108.
2. TAN-ROUNDTRIP: tan(atan(x)) = x at 200 banded-random f64 points in
(0,1) + fixed boundary points, tan from the BLESSED bf_sin_r/bf_cos_r
organ (itself anchored by Machin-vs-Gauss + sin^2+cos^2), rel < 2^-100.
3. f64 specials: NaN, +-0, +-inf -> +-fl(pi/2), oddness, monotone
continuity across x = 1 (branch seam) and x = 1/8 (Taylor seam).
Markers: BFATAN-MACHIN / BFATAN-TAN / BFATAN-SPEC / BFATAN-GATE verdict=
dependencies 5 imports · 0 importers
imports: nx_syscalls.nxnx_bigfloat120.nxnx_bigfloat120_div.nxnx_bigfloat120_trig.nxnx_bigfloat120_atan.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
| 18 | func bag_puts(s: *u8) -> i64 { var n: i64 = 0; while s[n] != (0 as u8) { n = n + 1 } sys_write(1, s, n); return 0 } |
| 19 | func bag_putn(v: i64) -> i64 { let bb: *u8 = sys_mmap(28); var m: i64 = v; if m < 0 { m = 0 - m; sys_write(1, "-" 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); m = m / 10; k = k + 1 }; var i: i64 = 0; while i < k { bb[i] = t[k-1-i]; i = i + 1 }; sys_write(1, bb, k); return 0 } |
| 20 | func bag_puthex(v: i64) -> i64 { let bb: *u8 = sys_mmap(20); var i: i64 = 0; while i < 16 { let nib: i64 = (v >> ((15 - i) * 4)) & 15; if nib < 10 { bb[i] = 48 + nib } else { bb[i] = 55 + nib } i = i + 1 } sys_write(1, bb, 16); return 0 } |
| 22 | func bag_rng(state: *i64) -> i64 called by 1: main |
| 32 | func bag_relok(a: *i64, b: *i64, bits: i64) -> i64 |
| 41 | func bag_tan_rt(xb: *i64) -> i64 |
| 53 | func main() -> i64 |