code wiki / _hdl_build / _bf_erfc_oracle_gate.nx

_bf_erfc_oracle_gate.nx

buildroot/runtime/_hdl_build/_bf_erfc_oracle_gate.nx

4614 B102 linesdepth 6pulls 6 transitivereach 0 importersview sourcekind gate/prooftopic bf
docsdependenciesstructsconstsfunctions

about

_bf_erfc_oracle_gate.nx -- ALGEBRAIC self-gate for the sovereign 120-bit erfc CF oracle (nx_bigfloat120_erfc, ME2-ERF-002 foundation). No external reference: the oracle proves ITSELF by the identity erf(x)+erfc(x)=1, checked at FULL bigfloat precision in the overlap window x in [1.5,1.75] where BOTH the 48-term erf Taylor AND the depth-240 erfc CF are accurate. Two INDEPENDENT methods agreeing to >2^-80 on the identity is conclusive proof both are correct (a correlated 80-bit error is nil). Plus a structural check over the TARGET domain x in [1.75,6]: erfc strictly decreasing and strictly positive (the property the f64 kernel will rely on). Durable: ERFCORACLE row -> knowledge/status/math_engine.log. Exit 0 iff both held. license_tier: ORIGINAL

dependencies 5 imports · 0 importers

nx_syscalls.nx nx_bigfloat120.nx nx_bigfloat120_div.nx nx_bigfloat120_trig.nx nx_bigfloat120_erfc.nx _bf_erfc_oracle_gate.nx

imports: nx_syscalls.nxnx_bigfloat120.nxnx_bigfloat120_div.nxnx_bigfloat120_trig.nxnx_bigfloat120_erfc.nx

imported by: nobody (leaf or entry point)

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

main eg_p sys_write bf_new sys_mmap bf_set_int bf_div_small bf_is_zero bf_copy bf_norm bf_to_f64 bf_is_zero ↻ bf_erf bf_new ↻ bf_pi bf_new ↻ bf_atan_inv bf_new ↻ bf_set_int ↻ bf_div_small ↻ bf_mul bf_is_zero ↻ bf_copy ↻ sys_mmap ↻ bf_copy ↻ bf_add bf_is_zero ↻ bf_copy ↻ sys_mmap ↻ bf_shr2 bf_norm ↻ bf_sub bf_is_zero ↻ bf_copy ↻ sys_mmap ↻ bf_shr2 ↻ bf_norm ↻ bf_sub ↻ bfc_sqrt bf_new ↻

structs

none

consts

none

functions

17func eg_p(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 1: main calls 1: sys_write
18func eg_f(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 }
called by 1: main calls 1: sys_write
19func eg_n(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 as u8;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 }
called by 1: main calls 2: sys_mmapsys_write
21func main() -> i64