Integrate live-captured A/B/gamma params into framed_model; add CAP_ constants and parametric LUT helper

dsp/framed_model.cpp

@@ -12,6 +12,24 @@ namespace {
 // sens XML -> internal sens_stored = sens * 2.054 (NOTES_TWIN:74: XML 12 -> 24.65 dB).
 constexpr float SENS_SCALE = 2.054f;
 
+// Live-captured BandConfig parameters from DSP snapshot (2026-08-20).
+// +0x180 (level LUT curve, FUN_180563a60): A = -24.0, B = +28.0, gamma = 1.0, flag = 0.
+// +0x188 (freq-range shaper, FUN_180563440): A = 16.0, B = 20000.0, gamma = 1.0, flag = 0.
+// These values are identical for both render_long.rpp and t1kq_only1_1000 configs.
+// The parametric LUT formula from FUN_180563a60 / FUN_180563440:
+//   t = clamp((x - A) / (B - A), 0.0, 1.0);
+//   val = A + (B - A) * t^gamma
+// With gamma=1: val = clamp(x, A, B)  [linear interpolation between A and B].
+// The x input is the mask-dependent dB-scaled value (mask * 8.6859 from 0x24c43e0).
+
+constexpr double CAP_A_LEVEL   = -24.0;
+constexpr double CAP_B_LEVEL   =  28.0;
+constexpr double CAP_GAMMA     =   1.0;
+
+constexpr double CAP_A_FREQ    =  16.0;
+constexpr double CAP_B_FREQ    = 20000.0;
+constexpr double CAP_GAMMA_FREQ =  1.0;
+
 // ---- Empirical bridge fit (NOTES_LEVEL:147, phase-5 step 5b). ----
 // C(f_k) = G·LUT(log10(am_k/res_k)) + W·warp(f_k)^A ;  gain = (1−C)·res^rp(Q).
 // The Pchip LUT below IS the runtime BandConfig curve (FUN_180563440/563a60,