code wiki / _hdl_build / _bf_sinhcosh_gate_authored.nx

_bf_sinhcosh_gate_authored.nx

buildroot/runtime/_hdl_build/_bf_sinhcosh_gate_authored.nx

8469 B191 linesdepth 8pulls 10 transitivereach 0 importersview sourcekind tooltopic bf
docsdependenciesstructsconstsfunctions

about

_bf_sinhcosh_gate_authored.nx -- self-anchor gate for the SOVEREIGN bigfloat sinh/cosh oracle (nx_bigfloat120_sinh). No external oracle: 1. DOUBLE-ANGLE (cancellation-free, full domain): sinh(2u) = 2 sinh u cosh u and cosh(2u) = 1 + 2 sinh^2 u at 150 banded points (u < 350), rel < 2^-100. 2. PYTHAGOREAN strip: cosh^2 - sinh^2 = 1 for |x| <= 5 (the subtraction cancels 2*log2(cosh) <= 13 bits there), 60 points, rel < 2^-90. 3. f64 tie to the BLESSED exp organ: sinh(x)+cosh(x) within 2 ulp of bf_exp_f64(x) at 100 points (different exp code path). 4. Specials + overflow boundary + Taylor/exp seam at x = 1. Markers: BFSH-DOUBLE / BFSH-PYTH / BFSH-EXPTIE / BFSH-SPEC / verdict=

dependencies 9 imports · 0 importers

nx_syscalls.nx nx_f64.nx nx_f64_div.nx nx_bigfloat120.nx nx_bigfloat120_div.nx nx_bigfloat120_exp.nx nx_bigfloat120_ln.nx nx_bigfloat120_pow.nx nx_bigfloat120_sinh.nx _bf_sinhcosh_gate_authored.nx

imports: nx_syscalls.nxnx_f64.nxnx_f64_div.nxnx_bigfloat120.nxnx_bigfloat120_div.nxnx_bigfloat120_exp.nxnx_bigfloat120_ln.nxnx_bigfloat120_pow.nxnx_bigfloat120_sinh.nx

imported by: nobody (leaf or entry point)

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

main bf_new sys_mmap bf_set_int sys_mmap ↻ bsg_rng bf_set_f64 bf_sinh_xb bf_is_zero bf_copy bf_new ↻ bf_set_int ↻ bf_cmp bf_is_zero ↻ _bsh_taylor_sinh bf_is_zero ↻ bf_copy ↻ bf_new ↻ bf_mul bf_is_zero ↻ bf_copy ↻ sys_mmap ↻ bf_div_small bf_is_zero ↻ bf_copy ↻ bf_norm bf_add bf_is_zero ↻ bf_copy ↻ sys_mmap ↻ bf_shr2 bf_norm ↻ bfp_exp_pm bf_new ↻ bf_set_int ↻ bf_is_zero ↻ bf_copy ↻ bf_ln2 bf_new ↻ bf_set_int ↻

structs

none

consts

none

functions

22func bsg_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
23func bsg_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
24func bsg_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
26func bsg_rng(state: *i64) -> i64
called by 1: main
35func bsg_relok(a: *i64, b: *i64, bits: i64) -> i64
called by 1: main calls 4: bf_newbf_cmpbf_subbf_is_zero
43func bsg_ord(v: i64) -> i64
called by 1: bsg_ulp
48func bsg_ulp(a: i64, b: i64) -> i64
called by 1: main calls 1: bsg_ord
55func main() -> i64
calls 20: bf_newbf_set_intsys_mmapbsg_rngbf_set_f64bf_sinh_xb+14