nx_math_gate_emit.nx

nx_math_gate_emit.nx -- PATTERN EMITTER: MATH_GATE (GATE_AUTHORING shape). The Builder authors a live-oracle ULP gate from DATA -- edge raws, band descriptors, function/oracle names -- with the PROVEN helper templates baked in. Motivation (measured, 2026-06-10 session): every defect found while closing ch4 was in a HAND-WRITTEN gate, never in a team organ -- (1) unmasked >>63 sign-extension, (2) flat identity bars at large args, (3) raw-literal arithmetic slips. Template (1) is impossible here (the helpers mask), (3) shrinks to the data rows, (2) stays oracle-gate domain. Emits a SINGLE-FUNCTION gate: kernelfn vs oraclefn, banded xorshift points + edge list, signed-ordered-map ULP, GREEN iff worse=0. strs: [0]=gatepath [1]=MARKER [2]=kernelfn [3]=oraclefn [4..4+ni) imports nums: [0]=ni [1]=seed [2]=npoints [3]=signrandom [4]=nedges [5..5+nedges) edge raws, then 8 = 4 x (efbase, efmask) license_tier: ORIGINAL