nx_pattern_emit6.nx

nx_pattern_emit6.nx -- PATTERN EMITTER: MATH_KERNEL (shape 11 -- first NEW shape past the original 10/10 census; the math-engine arc's autonomy lever). The Builder authors an f64 TRANSCENDENTAL from a data spec: LOG_REDUCE template (exponent split at the sqrt2 boundary -> s=(m-1)/(m+1) -> Horner in z=s^2 -> k*ln2 hi/lo recombine). EVERY number in the emitted module comes from the spec array (oracle-generated, mpmath@60dps) -- the emitter contains STRUCTURE, never constants (no-magic-numbers law). The emitted test derives KATs from the ALGORITHM'S OWN INVARIANTS (ln(1)=+0 exactly since s=0; the IEEE specials table), no Claude arithmetic; the semantic ULP bar is the Engineer's separate oracle-vector gate (_f64_log_gate_authored). Spec layout: c[0]=ONE c[1]=SQRT2_CUT_SIG c[2]=LN2_HI c[3]=LN2_LO, coeffs hi-first c[4..4+ncoef). Extends emit(231)/emit2(235)/emit3(241)/emit4(262)/emit5(GEOMETRY+PID). LAWS: flat ifs, no &&/||, <=6 args per func, one transcendental per emitted file. license_tier: ORIGINAL