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_f64_igammaq_gate.nx

buildroot/runtime/_hdl_build/_f64_igammaq_gate.nx

4251 B105 linesdepth 6pulls 12 transitivereach 0 importersview sourcekind gate/prooftopic f64

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_f64_igammaq_gate.nx -- ULP gate for integer-order Q(n,x) vs a sovereign 120-bit finite-sum oracle (same closed form computed in bigfloat; bfc_exp reused from the erfc organ). Grid n=1..12, x=k/2 (0.5..12). Plus the closed-form rail Q(1,x)==e^(-x) (bit-exact: the n=1 kernel IS e^(-x)). RUNG bar: max ULP <= 4. Durable: IGAMMAQ-GATE -> knowledge/status/math_engine.log. license_tier: ORIGINAL

dependencies 6 imports · 0 importers

imports: nx_syscalls.nxnx_bigfloat120.nxnx_bigfloat120_div.nxnx_bigfloat120_erfc.nxnx_f64_exp.nx_pe_f64igammaq.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

14	func iq_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
15	func iq_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
16	func iq_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_mmap sys_write
17	func iq_ulp(a: i64, b: i64) -> i64 { if a >= b { return a - b } return b - a } called by 1: main
20	func iq_bf(out: i64, n: i64, xb: i64) -> i64 called by 1: main calls 8: bf_new bf_set_int bf_copy bf_mul bf_div_small bf_add+2
45	func main() -> i64 calls 16: iq_p bf_new bf_set_int bf_div_small bf_to_f64 iq_bf+10