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_bf_pow_gate_authored.nx

buildroot/runtime/_hdl_build/_bf_pow_gate_authored.nx

7523 B156 linesdepth 7pulls 11 transitivereach 0 importersview sourcekind tooltopic bf
docsdependenciesstructsconstsfunctions

about

_bf_pow_gate_authored.nx -- self-anchor gate for the SOVEREIGN bigfloat pow oracle (nx_bigfloat120_pow). No external oracle: 1. CORRECTLY-ROUNDED EQUALITIES vs three BLESSED f64 organs at 200 banded random points: pow(x,2) == fl(x*x) (nx_f64_mul), pow(x,-1) == fl(1/x) (nx_f64_div), pow(x,1/2) == sqrt(x) (nx_f64_sqrt), pow(x,1) == x. Both sides round the same true value -> raws must be IDENTICAL. 2. EXACT POWER LADDER: pow(2,n) across the whole format incl. the subnormal floor (n=-1074), the round-to-even-zero tie (n=-1075) and the overflow ceiling (n=1024); mirrored via pow(1/2,-n). 3. The IEEE-754/C99 special matrix + odd-integer sign rule. Markers: BFPOW-EQ / BFPOW-LADDER / BFPOW-SPEC / BFPOW-GATE verdict=

dependencies 10 imports · 0 importers

nx_syscalls.nx nx_f64.nx nx_f64_div.nx nx_f64_sqrt.nx nx_f64_cvt.nx nx_bigfloat120.nx nx_bigfloat120_div.nx nx_bigfloat120_exp.nx nx_bigfloat120_ln.nx nx_bigfloat120_pow.nx _bf_pow_gate_authored.nx

imports: nx_syscalls.nxnx_f64.nxnx_f64_div.nxnx_f64_sqrt.nxnx_f64_cvt.nxnx_bigfloat120.nxnx_bigfloat120_div.nxnx_bigfloat120_exp.nxnx_bigfloat120_ln.nxnx_bigfloat120_pow.nx

imported by: nobody (leaf or entry point)

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

main sys_mmap bpg_rng bf_pow_f64 pw_int_class bf_new sys_mmap ↻ bfp_ln_big bf_sqrt2_cut bf_new ↻ bf_set_int bf_cmp bf_is_zero bf_sub bf_is_zero ↻ bf_copy sys_mmap ↻ bf_shr2 bf_norm bf_add bf_is_zero ↻ bf_copy ↻ sys_mmap ↻ bf_shr2 ↻ bf_norm ↻ bf_div bf_is_zero ↻ bf_copy ↻ bf_norm ↻ bf_mul bf_is_zero ↻ bf_copy ↻ sys_mmap ↻ bf_copy ↻ bf_div_small bf_is_zero ↻ bf_copy ↻ bf_norm ↻ bf_ln2 bf_new ↻

structs

none

consts

none

functions

24func bpg_puts(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
25func bpg_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 }
called by 1: main calls 2: sys_mmapsys_write
26func bpg_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 }
called by 1: main calls 2: sys_mmapsys_write
28func bpg_rng(state: *i64) -> i64
called by 1: main
37func bpg_pow2_expect(n: i64) -> i64
called by 1: main
44func main() -> i64
calls 11: sys_mmapbpg_rngbf_pow_f64nx_f64_mulnx_f64_divnx_f64_sqrt+5